diff --git "a/data/dm_maths/full_data_1/10807_11255.jsonl" "b/data/dm_maths/full_data_1/10807_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10807_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 14, what is 5b57d + 912?\nAnswer: 5c091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 882 and -15.68.\nAnswer: 866.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6151 (base 7) to base 16.\nAnswer: -85f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645 + 750 + 940 + w - 2335.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k**(-3\/10)\/k)**(-29) assuming k is positive.\nAnswer: k**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -2*j, 2*j + 4 - 27 = 3*y. Solve -j*b = -3 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5047)\/(-3708)*12*(-2)\/(-7))\/((-3)\/(-72)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905169802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 2, g: 3, r: 3, x: 1}. What is prob of picking 1 h and 2 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 0. Let b be 1\/(n\/22) - 6\/9. Solve -d = b*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-21))\/((-4)\/(-478)). Let l = m - 68. What is the second biggest value in l, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8192617, -8192618, -8192619, -8192620, -8192621, -8192622?\n\"Answer: -w - 8192616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/(-84084)*-7 + (-2)\/33?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 11. Let z = 0.0322 - 0.5322. Sort z, r, -2 in increasing order.\nAnswer: r, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 - 487*p**4 - 198296*p**3 - 44888312*p**2\/3 - 346627568*p - 1383552240 = 0. What is p?\nAnswer: -686, -42, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813909?\nAnswer: 7, 401987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 15*t - 32. Let o be f(17). Factor 4\/3*a - 2\/3*a**o + 0.\nAnswer: -2*a*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -23. Calculate the common denominator of -3 + -53*1\/x and -13\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*l + 29958 = 6770 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 524 (base 6) to base 2\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117554 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1*4 + 18 + -5 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.034 - 0.274. What is r rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2811\/7 - 15893\/42. Let j be 5187\/(-2) - (-2)\/(-4). Let w = -7711\/3 - j. Calculate the common denominator of r and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 46 = -3*u, l - 14 = -4*u + 3*u. Calculate the smallest common multiple of 2 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 477 + -475.699. Let h = -198 + 197.831. Let c = h - a. Round c to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 100*l**2 + 4*l - 11. Let y(j) = 24*j**2 - 2. Let m(v) = h(v) - 4*y(v). Determine m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 9450?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 17*b - 21. Let v be f(12). Let z be 28\/42*(-2 + 2 - -117). What is the greatest common divisor of z and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 + 798*a**3 + 172188*a**2 + 4917186*a - 58790205 = 0.\nAnswer: -381, -45, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*t**5 - 117*t**2 + 117*t**2 + (-3*t**3 + 2*t**3 + 0*t**3)*(t**2 + 3*t**2 - 5*t**2).\nAnswer: 26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-2\/39)*(h*h**(-1\/2))\/(h**0\/h*h) assuming h is positive.\nAnswer: sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (147 + 1)*(-3)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3339 - -24.8029. Round n to 1 decimal place.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -559471, -8, -2 in increasing order.\nAnswer: -559471, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*q**3*v + 3*q**3 - 129*q**2 + 29*v wrt v.\nAnswer: 12*q**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6208\/97 - 63)\/((8\/(-166))\/(-4)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98904003353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 2, n: 1, h: 3, o: 6}. What is prob of sequence hd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*u - 112, 2*u + 42 = i - 70. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 - 235. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 + 12 + o**3 + 5*o + 17*o - 11*o + 2*o**2. Determine h(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -3, -5, -2, 0 in descending order.\nAnswer: 1, 0, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66012 (base 9) to base 3\nAnswer: 2020000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8985 (b) 2 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 104, -5, -1 in descending order.\nAnswer: 104, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b + 30. Let a be q(0). Let v be 30\/(-4)*(-8)\/6. What is the greatest common divisor of v and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 22)*(0*h**4 + 6*h**4 - 3*h**4).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -622*v + 9954. Let p be w(16). Solve 4*j = -5*i - 9, 355*i - 3*j + p = 357*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -2. Let t(r) = r + 1. Let f be t(i). Let x(y) be the second derivative of -7*y**4\/12 + y**2\/2 - 6*y. What is x(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4404 + 1?\nAnswer: -4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 164.\nAnswer: -6, -2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59473, -59469, -59465, -59461, -59457?\nAnswer: -59453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/((-2)\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 38*k + 296. Let n be q(10). Solve n = -5*o + 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:42 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136657 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.107 + -39.107. Let m = l + 39.3. Which is the nearest to 2? (a) 1 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/5 + 4*k**4\/5 + 54*k**3\/5 + 104*k**2\/5 + 56*k\/5 = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 402404 (base 5) to base 15\nAnswer: 3c1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5450 - -22052. Let p = j - 265547\/16. Calculate the common denominator of p and 133\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68042593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) + (-24)\/36.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 + -251. List the prime factors of (-75 + v)*-1*382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 116913*o**3 - 16 + 116900*o**3 + 6.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - s - 54 = -3*s, 0 = 4*z + 3*s - 46. Let n be 14\/z + 4\/(-10). Let x = 0.01 - -0.19. Which is the nearest to n? (a) x (b) -2\/23 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -u + 3, -2*u + 12 = -4*j + 8*j. Let t(k) be the third derivative of -2*k**2 + 1\/24*k**4 - 1\/2*k**3 + 0 + 1\/60*k**5 + 0*k. What is t(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i**2 - 4932*i - 10035. Give h(413).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101955 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5489992 divided by 2744996\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 72. Let r(j) = 32*j - 235. Calculate 2*o(f) + r(f).\nAnswer: 30*f - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3677 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 40*f**2 - 14. Let l(q) = -9*q**2 + 3. Let u(a) = -14*l(a) - 3*v(a). Let j(x) = 12*x. Calculate j(u(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145\/(-75))\/(((-91)\/(-105))\/(-13)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2385792 - 51?\nAnswer: -2385843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(10\/20). Suppose -v = -4*j - 48, 0*v + x*j = v - 48. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 3*q**2 + 51*q**2 + 17*q**2 - 51*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.238 + -3.138. Sort -148, -0.16, q in descending order.\nAnswer: q, -0.16, -148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*y**4 + y**2 - y + 49*y**4 - 131*y**4 + 1 to the form z + m*y + i*y**4 + t*y**2 + f*y**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*8\/(-6) + (6 - -1). Solve -5*i + w = -4*q, -3*q = -i - 0 - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-12 + 12 + -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 22*t + 6. Let p be m(3). Let x = p + -50. Calculate the lowest common multiple of x and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2685*p**2 + 3734847*p - 16692.\nAnswer: -3*(p - 1391)*(895*p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - w + 32 + 3 + 10.\nAnswer: -w + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnnnncnnnccn?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 161*d**3 + 3 - 6 + 159*d**3 - d. Let g be y(-2). Let a be 2\/(-3)*((-125)\/20 + g). What is the fourth biggest value in a, -1, 3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381421 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1673.81\nAnswer: -3347.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/45*(-3)\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59279960 plus -0.4?\nAnswer: -59279960.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 906 - 901 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704815 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: 0.3 times 173.5268\nAnswer: 52.05804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:41 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 53745875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 506*j + 3436. Let m be y(-6). Solve -7*p = m - 456 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 0 + 3*x + 0 - 12.\nAnswer: 3*x - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -206634013?\nAnswer: -206634020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.9992 - 38. Round c to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 101\/29?\nAnswer: 101\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*o + 141, -166 = -4*o - 5*z + 3*z. Let u = 23 - 41. Let f = u + o. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l = -l + 100, -l = -4*j + 91. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*m + 3*m + 5*f, 0 = 3*f - 3. Let c = 7 - m. Suppose 105 = c*b + b. What is the highest common divisor of b and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 11.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let t be 7*((-8)\/(-14))\/2. Let z(c) = 0*c**2 - 2*c**2 + 0*c**2 + 0*c**t. Determine z(g(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -246*u**3 - 325.\nAnswer: -738*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o**(-5)*o*o))*o*o)\/o**(1\/12))**(-3\/8)*(o\/(o\/((o*o**(2\/3))\/o)))**(-23)*((((o\/o**(-5))\/o)\/o)\/o)\/(o*o**(1\/9)) assuming o is positive.\nAnswer: o**(-3971\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 359090 (base 10) to base 11\nAnswer: 225876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + sqrt(2000)*1 - sqrt(40)\/sqrt(2)*-1)\/(sqrt(110)\/(sqrt(88)\/(sqrt(8) - sqrt(200)))).\nAnswer: -21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/48)\/1)\/((-7)\/(-14))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 5*v)*(v**2 - 3*v**2 + 4*v**2 + 0*v**2 - 3*v**2 + 4*v**2 + (-v + 4*v - v)*(5*v + 0*v - 3*v) - 6*v**2 - 9*v**2 - 3*v**2 - v**2 - 1 + 1).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(125 + 175 - 35)*(-6*u - u + 2*u) to the form p + q*u and give q.\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 2*m**2 - m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000586035011 rounded to six decimal places?\nAnswer: 0.000586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51\/2*w**2 + 39\/4*w**3 - 3*w**4 + 0 - 66*w = 0. Calculate w.\nAnswer: -11\/4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 280 = 0. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**2 - 2*k - 2. Suppose 4*i - 4*y = 24, -2*y - 3 = -i + 7. What is the units digit of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53952 = 144*b - 203280. Calculate the remainder when b is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66679511?\nAnswer: 47, 107, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209388617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1330 - -918. Let b = 83765 + -333433\/4. Let m = b + t. Find the common denominator of -57\/16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 18*r - 29. What is the remainder when n(6) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j - 6. Let i be y(-6). Suppose i = 2*l + g + 2*g, 4*l - 132 = -5*g. Suppose -k - l = -4*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 21, 57, 115, 201, 321, 481, 687?\n\"Answer: t**3 + 2*t**2 + 7*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxtqtxjjiiiqxtqj. What is prob of picking 1 i and 1 x?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + -1 + -1)*2. Let c = h - -84. Suppose -c - 2 = -5*q. Calculate the smallest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*l**2 + (-4 + 4 - 6*l**2)*(0 + 0 - 2) in the form n*l + m*l**2 + a and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/14 - 4\/7. Calculate the common denominator of l and (-27)\/(-36) + -1 + 174\/104.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) -0.5 (d) -8 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -81.3 (b) -168 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/12*6\/(-4). Suppose -56 = i*c - 0*c. Is (-1 - 3\/(-6))*c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5574.58 - -5629. What is v rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22878066783 - 4\nAnswer: -22878066787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86051*o**4 + 61372.\nAnswer: -344204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42132 (base 5) in base 2?\nAnswer: -101011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 154.749, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476310573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 26*r**2 - 9*r**2 - 10*r**2 - 11*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 55133*t**2 - 6055555*t + 166444575.\nAnswer: -(t - 55023)*(t - 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27, -0.5, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) 0.08 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, -2, 1, -3, -4909266 in increasing order.\nAnswer: -4909266, -7, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -24*m**2. Let y(z) be the third derivative of 0*z**3 + 1\/30*z**5 + 0*z + 0*z**4 + 25*z**2 + 0. What is l(y(w))?\nAnswer: -96*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - -1) + (6 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*r - 2*u = 448*r + 22, r - 5*u = -2*r + 94 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**4 + 22*y**3 - 40*y**2 - 2*y - 2. Let w(m) = 110*m**4 - 480*m**3 + 880*m**2 + 45*m + 45. Let s(c) = -45*a(c) - 2*w(c). Factor s(z).\nAnswer: 5*z**2*(z - 4)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 6*u - 8. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4223065624 - 5?\nAnswer: -4223065632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28\/11 (b) -3 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w**(3\/5)*(w\/(w*w**(-2)))\/(w*w*w**(-3\/4)\/w))**40 assuming w is positive.\nAnswer: w**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125.002 - 125. Let t = 42.998 + y. Let b = -43.073 + t. Round b to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515 + -483. Calculate the greatest common factor of 2048 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 15c?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*y - 11 = -0*y, -4*r + 4*y + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (2 + 4)\/1. Suppose 9*o - 12*o = 2*m - 876, -x*m = -3*o - 1752. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/6 (b) 3\/5 (c) 2\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4995666061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 0\/1. Let x be -6 + 0 - 2\/o. Let h = -3 + 3.2. What is the second smallest value in h, x, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 57. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25.2 in 5\/73, 1\/9, 3\/7, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10412 + 24175. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21852 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 - 4492 - 920)*(0 - a + 0).\nAnswer: 5550*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5115 = 6*y - 18009. Suppose -515 = 38*r - y. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in years?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:58 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2816.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668635.5ug to nanograms.\nAnswer: 668635500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 60. Suppose 4*t + 19 = -m, 3*m + 13 + 4 = -2*t. What is the remainder when w is divided by 1*(-3 - m) - -22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39320, -39774, -40230, -40682, -41124, -41550, -41954, -42330?\nAnswer: -42672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 127, -353, 1\/4, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 103323231?\nAnswer: -103323221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(5) + (4*sqrt(36))\/sqrt(12))**2 + 0.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 719 - 719. Which is smaller: s or -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -516.17327?\nAnswer: -514.17327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*p - p + 2*m, 0 = 4*m - 20. Calculate the smallest common multiple of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -1257611.\nAnswer: -33\/1257611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l**24)**(-50) assuming l is positive.\nAnswer: l**800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -96982.84 times 11?\nAnswer: -1066811.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 798769, 798774, 798779, 798784, 798789?\n\"Answer: 5*z + 798764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199, -1656, -5619, -13342, -26079, -45084, -71611, -106914?\n\"Answer: -209*y**3 + y**2 + 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 4*v**3\/3 - 8*v**2 + 16*v - 1. Factor w(l).\nAnswer: 4*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44892.\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:15 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*k - 2*k + 3, -19 = -3*y + 4*k. Let g(s) = -185*s**2 + 2*s - 1. Let o be g(y). Calculate the lowest common multiple of o\/(-12) + (-4)\/(-6) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48246 divided by 66.\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*x + 5, 16*o - 4*x = -33*o + 44*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/366350 and 27\/65512.\nAnswer: 27842600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 10675\nAnswer: -1\/2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105610109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*o = -2*o. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + 83 - (-11 - -21).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -1.9. Let v = 4 - 2. Which is the closest to r? (a) -2\/7 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 7, 1, 18 in ascending order.\nAnswer: -7, 1, 4, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 - 307*r**2 - 119*r - 529. Determine v(-102).\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011000111 (base 2) to base 13.\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5890347, 5890332, 5890315, 5890302, 5890299, 5890312, 5890347, 5890410?\nAnswer: 5890507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3639323*y**3 - 5580968*y.\nAnswer: 21835938*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54582052 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 230936549 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -31. Suppose -59*f + 85*f - 2782 = 0. Calculate the least common multiple of f and x.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90c1b (base 13) to base 12\nAnswer: -105b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(10 + 0)). Let d = -2 + n. Let c(v) = -9*v**2 - 2*v + 4. Let p(t) = -4*t**2 - t + 2. Determine d*p(b) + 3*c(b).\nAnswer: b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 66 = 3*z. Let s be -5*3\/(z\/24). Let q be 2\/s - 14\/(-8). Solve -3*u + 4*y = 12, -5*u - q*y + 10 = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*y - 58*y + 75*y + 1)*(4*y + y - 3*y).\nAnswer: -94*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 5\/2)*-6. Find the second derivative of -3 + 2*x + 8*x**5 + q + 5*x wrt x.\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*(sqrt(125) + (sqrt(125)*1 - sqrt(125))) + -4 + (sqrt(125) - (sqrt(125)*2 - sqrt(125))) + sqrt(125))**2 - (5*-5*-2*sqrt(125))**2).\nAnswer: -1868154 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2\/3029 (b) -4 (c) -0.4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20256, 19367, 18480, 17595, 16712, 15831, 14952?\nAnswer: 14075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 460\/44) + (-252)\/462. Sort 11, g, 0, -4, -5 in ascending order.\nAnswer: g, -5, -4, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**9\/5040 + t**7\/1260 - t**4\/4 - 2*t. Let m(i) be the third derivative of z(i). What is the third derivative of m(g) wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030658407365 + 3.92?\nAnswer: 3.950658407365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/154*-35*(-5)\/650?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1594336, -3188279, -4782234, -6376207, -7970204?\n\"Answer: -g**3 - 1593936*g - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**6 + 2*i**4 - 2*i**3 - i**2 - 2. Let s(h) = 4*h**6 - 3*h**4 + 3*h**3 + 3. Let g(v) = 2*s(v) + 3*y(v). Find the third derivative of g(c) wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40284766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 76581.062 to the nearest ten.\nAnswer: 76580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 13*f - 20)*(-5 + 5 - f**2)*(-1 + 6 + 0)*(4 - 8 + 0) as p*f**3 + v*f**2 + y + a*f and give p.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 39*d + 67. Let g be p(28). Let m = -1336 - g. Does 65 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, q: 5}. What is prob of picking 2 s?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3195, -3232, -3269?\n\"Answer: -37*i - 3158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxexeececexboeeee. 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: Find the first derivative of 133990*m**2*t + 3*m*t - m - 42642233*t wrt m.\nAnswer: 267980*m*t + 3*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*c - 3*y - 2*y, 50 = -5*c + 2*y. Let j(m) = m**2 + 5*m - 22. What are the prime factors of j(c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 11:47 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let i be z - -1 - -1 - 1. Let s(o) = o**2 + o. Let h be s(i). Solve h = -n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-10))\/6*(-35)\/189.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/4 - v**4\/3 - v. Suppose -4*l + 16 + 264 = 0. Let f(q) = -5 + 69*q**3 - q**2 + 5 - l*q**3. Calculate 12*f(z) - 3*h(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 4*d**2 + 139*d + 15. What is a(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33562607 - 33562607 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004345578 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(6\/10)\/(3\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Let u(g) = -g**3 + 7*g**2 - g + 1. Let o be u(w). Solve 4 + 32*s**4 + 3*s + o*s**4 - 102*s**3 - 10 - 21*s**5 - 19*s**2 + 67*s**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 4*x. Let g be -10 - -14 - 4*1. Solve g = x*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -35, 2\/7, -0.3, 4 in decreasing order.\nAnswer: 4, 2\/7, -0.3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1296 = 42. Suppose 0 = -7*v - 4*v + s. Solve u + 10 = 2*h, -u + 7*h - v = 2*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 - (0 + -3))) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/4 - 77*w**3 + 7613*w**2\/4 = 0. Calculate w.\nAnswer: -331, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7829706 nanograms to grams.\nAnswer: 0.0000000007829706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*h**4 + 3839 - 3839 - 59*h wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3372564*a**6 - 6977*a**2 + 9.\nAnswer: -404707680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjhj when four letters picked without replacement from {h: 5, j: 2, d: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/7950)\/((-60)\/(-25))?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2730 = -2*r + 15*r. Let h be 16376\/20 + 5 + 2\/10. Let j = r + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 636244*x + 3181220. What is q(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 66 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4253\/890 + 82\/89. Let s be (-2 + 14)*(-3)\/4. Find the common denominator of n and (43\/4)\/(s\/12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 410*b**2 - 2*b - 64. Let j be t(-12). What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 535631423 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 52. Let h = 0.5 - -4.5. What is the nearest to i in -2, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 661 - 661. Suppose x = -j + 16*p - 14*p + 63, 196 = 3*j + p. What is the highest common factor of 169 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0782*1.272\nAnswer: -0.0994704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-192)*(-1)\/21*14?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284341 is divided by 9174.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13644346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a. Let v(t) = -6*t**2 - 3. Determine u(v(x)).\nAnswer: 12*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.14146 litres?\nAnswer: 2141.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -174, -191, -224, -279, -362, -479?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 848, 836, 822, 806?\n\"Answer: -f**2 - 9*f + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-15743)*4326\/(-1545).\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1639.788 to the nearest 10.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007462 to 5 decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(48))\/(sqrt(864)*-5).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 4060.\nAnswer: -67\/4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133121 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:55 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(1\/3))\/m)\/m)\/(m**(-2\/25)\/m))\/(m**(3\/17)*m**(-14)) assuming m is positive.\nAnswer: m**(18152\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2) + -2 - -7. Let p be 366\/24 - 2\/w. Let t = 21 - p. 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: Sort -1, 1, -3, -109, -35 in decreasing order.\nAnswer: 1, -1, -3, -35, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-22) + ((-28)\/(-8))\/7. What is the fourth biggest value in -5, 0, m, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Let s be 82\/8 - 63\/252. Suppose b + s = i. Let x(z) = 2*z**3 - z**2 - 9*z. Let m(p) = -3*p**3 + 2*p**2 + 14*p. Determine b*m(y) - 8*x(y).\nAnswer: -y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 120744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -165762549 > -165762548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0 - 3 = 0. Is (4879 - -10)\/(1\/n - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b + 25. Let y(t) = 4*t + 6. Let m(p) = 16 - p**3 + 10*p**2 + 9*p + 4*p + 2 + 9*p. Let s be m(12). Give s*l(r) + 25*y(r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 12*f + 21. Let y be k(10). Let m be (35\/(-20) + y)*-20. Solve h - 6*h = m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 760, 1237, 1880?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2\/11 (c) -0.2 (d) 4 (e) -39 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -12*h + 99 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -459, -453?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 24 = -4*c, 11 = c - x + 4. Solve 0 = -5*k + m - 21, 3*m - 8*m - c = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4415 divided by -8?\nAnswer: 4415\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 + 12*a - 2.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*j - 35*j + 16*j)*(-38 + 1060 + 350 - 470 + 815).\nAnswer: 73831*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009158378 to seven decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -482855?\nAnswer: 482856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/g**(-3)*(g**(-1\/4))**(-18)*(g**(5\/2)\/g**(-3\/4))\/(g\/(g\/((g**(1\/7)*g*g)\/g))*g*((g*g**(-1\/4)*g)\/g)\/g*g) assuming g is positive.\nAnswer: g**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 4*y + 4100 = -19*j, -3*j = -3*y - 12345. What are the prime factors of j?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227753076 rounded to the nearest one million?\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 355*z - 690 = 0. What is z?\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -66*r + 84. Let s be h(4). Let t = -177 - s. Solve -4*u - 5 - 2 = -m, -t*u - 9 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421818813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/500 and -61\/30.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*b - 425*b + 214*b = 6*h - 85, 107 = 8*h - 5*b for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33360 divided by 8\nAnswer: -4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(264)\/sqrt(6) + sqrt(44) - sqrt(44))*-6.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 5323?\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:58 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 0, -5, 263 in increasing order.\nAnswer: -5, 0, 3, 5, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 63 = 70*g + 6*g - 301. What is y in 32\/7*y**2 + 4*y - 30\/7 - g*y**3 - 2\/7*y**4 = 0?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 5*g. Suppose 0 = -n + 2. Suppose g = -n*b + 43 - 5. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 347.3166ml?\nAnswer: 0.3473166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3 = 0, -m - 190 = -2*w - 180 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d + 3*d)*((3 - 3 + 2)*(3*d - 3*d + d) - 29*d + 34*d - 21*d) as w*d + a*d**2 + v and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 46. Suppose 5*p = 4*b - 49, -5*b + 40 + 55 = 5*p. Suppose 0 = -4*w - b, -4*y + 2*w + 150 = 10. What is the remainder when y is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202251449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:12 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1014)\/(-65))\/(-26) + (-2)\/5. Sort 3, 10, x in increasing order.\nAnswer: x, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/12)\/(57\/7314886) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*s**4*t**3 - 28*s**4 + 10*s**2*t**3 - 8*s**2*t**2 - 35*s*t + 2*t**3 wrt s.\nAnswer: -1512*s*t**3 - 672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 42 = 3*t + 5*v, 0 = t - 2*v + 2. Is -10 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/80694 and -97\/6?\nAnswer: 80694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08313 - 10.46113. Let f = x - -10.5. Round f to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143135 (base 11) to base 16\nAnswer: -36a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 2 (b) -2\/3 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378*d**2*z**2 - d**2 + 2*z**2 - 4*z + 1 with respect to d.\nAnswer: 756*d*z**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -14*s**3\/9 - 352*s**2\/9 - 386*s\/9 - 16\/3 = 0.\nAnswer: -24, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.124271*0.4\nAnswer: 0.0497084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r - r)*(8*r - 4*r - 2*r) + (4*r - 3*r + 1 + r)*(-2 - 4*r + 2*r + 4*r).\nAnswer: 6*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*t - 21, n - 17 - 11 = -4*t. Let v = 6 - 4. Solve -v*s - o + 3 = 0, 2*s - o + 3 - 16 = n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -24 (c) -0.2 (d) -4 (e) 770 (f) -3\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4240)\/(-636)*-1*(-63)\/(-15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 19*p**2 + 1\/15*p**5 + 0 + 0*p + 0*p**3 - 1\/30*p**6 + 0*p**4. Let z(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 15 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 1022887730*p + 52314965409227645.\nAnswer: 5*(p + 102288773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 - -213. Suppose -v - 4*v + 440 = -f*h, 5 = h. What is the remainder when v is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:45 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329029 is divided by 166128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136834878?\nAnswer: 2, 3, 1907, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 30*w**2 + 31*w + 60. Let a be d(-29). Solve 4*q + a - 22 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 33*w. Let r be z(1). Let f(l) = 5*l**3 + 3*l**2 - 11*l + 6. Let b be f(2). Let y = b - r. Solve -5*i - 9 = -y*u, -2*i = 3*i + 4*u - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6516 by -2.\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 73. Suppose -15 = -t*k, -2*k = 5*y - 1 - 15. Sort 1, y, -7, -2 in decreasing order.\nAnswer: y, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let a(r) = r**2 - 12*r + 21. Let l be a(9). Let t be o(l). Let s(h) = -17*h + t*h + 8*h + 4*h. What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01261724389 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/315203 and -1\/3.\nAnswer: 945609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1615904431 - 0.37\nAnswer: -0.5315904431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95100, 95098, 95096, 95094, 95092?\nAnswer: 95090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 0.67, -36, -56?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 9) to base 8\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21))**3*x**(-7\/6)\/(x\/(x**(-2)\/x)) assuming x is positive.\nAnswer: x**(-409\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-29 + 15 - -15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/9*4050\/100 - (-1 - 7)\/16.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21224358 and 9.\nAnswer: 21224358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from uujmyyujyi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/36, 0, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + (-4 - 4) + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k + 6020 = 0. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017222 times 7?\nAnswer: 0.120554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**3 + 57*p**2 + 2*p + 5. Let o(f) = -f**2 - f - 2. Let w(s) = -k(s) - 2*o(s). Find the third derivative of w(v) wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 3 + sqrt(13) + (-3 + sqrt(13))*-6 + sqrt(13).\nAnswer: 5*sqrt(13) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 854\/(-28) - 3\/2. Let p = 0 - r. Suppose 4*a = -2*f + 144, -2*f - p = -a - 191. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166690159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*y - 33 = 0, 3*z = 5*y + 24 + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556323.4l in millilitres?\nAnswer: 556323400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 - 8*a - 14. Let w be o(-5). Let h be 26\/8 - w\/4. Let d(x) = x**3 - 3*x**2 + x - 2. What is d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 778479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1431 and -730897.\nAnswer: 1045913607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) - (-6 - 1). Let y be (-692)\/(-28) + (-25)\/35 + 1. Suppose -2*d - y = -2*b + n, 4*d - 6 = -2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/3 - 329*g**4 - 4960*g**3\/3.\nAnswer: g**3*(g - 992)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/1)\/((-9)\/(-405)*-5). Sort -2, s, -1.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + (-1106)\/(-42))*(-51)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6254 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**2 - z**2 + z**3)*(-z + 3*z - z + (0*z + 5*z - 2*z)*(1 - 4 + 1) + 2*z + z - z + 7*z - 7*z - 5*z).\nAnswer: -16*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - 147?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -167. Let m be (l\/15)\/2 + (0 - 4). What is the third biggest value in m, 6, -3\/7, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19501984, 39003965, 58505946, 78007927, 97509908?\nAnswer: 117011889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (716*w - 212*w - 186*w)*(-w + w + w**3) to s + j*w + t*w**4 + y*w**2 + b*w**3 and give t.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asv when three letters picked without replacement from vdadvvaatats.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) - (sqrt(245) + -1 + sqrt(245))) + -2 + -3 + -2 + sqrt(245))**2*1.\nAnswer: -84*sqrt(5) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6))**(-4\/9)\/(o**0*o*o)**(-15\/7))**(4\/7) assuming o is positive.\nAnswer: o**(296\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21932363, 43864729, 65797095?\n\"Answer: 21932366*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 52*y**2 + 34*y + 4. What is x(16)?\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*i = 2, 4*u + 3*i + 11 = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 8*s**2 + 30*s + 76. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217c3 (base 15) in base 10?\nAnswer: 106383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/264 and 2426\/(-528) - (-37)\/(999\/135)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-165)\/(-3) + 0 - 1 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2200210 + 3?\nAnswer: 2200213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/60 - 3*a**5\/40 - 3*a**4\/8 - 2*a**2. Let v(k) be the second derivative of j(k). What is the derivative of v(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**6\/135 + s**5\/90 + s**4\/27 - 9*s. Factor o(n).\nAnswer: -2*n**2*(n - 2)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**4 - z**3 + z**2 - 4*z - 1. Let m(w) = 30*w**4 + 438*w**3 - 24*w**2 - 1077*w - 777. Let b(v) = -m(v) - 33*t(v). Factor b(y).\nAnswer: 3*(y - 135)*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -76. Suppose 0 = 5*v - 5*o - 5, -4 + 0 = -4*o. Suppose q + m - r = -q, 2*m - 62 = -v*q. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 328*y + 27406. Calculate k(124).\nAnswer: 2110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*j = 16, 24 = 5*b - 3*j + 10. Suppose 15 = b*u - 0*q + 3*q, -5*q + 25 = -u. Solve -3*p - 12 = u, -s + p = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yatyayy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 125516580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-30)\/8)\/5. Let v be (-2 - -2)*d\/(-3). Let g = 1 + v. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose -l*m + 4*w - 113 + 47 = 0, w + 43 = -3*m. Which is smaller: -15 or m?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -54299 (b) 5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2439*a - 17068. Determine s(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 594?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*z = 0, 34 - 40 = -7*v + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((28\/(-8))\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560090 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 2*d + 1\/9*d**3 + 0*d**2 - 1\/36*d**4 + 0. Suppose v(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16. Solve -k = j + 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828182\/58 + (0 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197 + 1a2?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 77528 divided by -471\nAnswer: -77528\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 42. Suppose 3*c - 12 = 3*t, 4*t - 2*c + s = 3*c. Let g(v) = v**2 + 9*v + 5. Let q be g(-8). Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(304) + 2*sqrt(304))*-1 + 2 - (sqrt(304) + (sqrt(304)*2 + sqrt(304))*-2)*3)**2.\nAnswer: 192*sqrt(19) + 43785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/380*(88\/32 + -3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*r**2 + 367*r**2 + 1155*r**4 - 114*r**2 + 443*r**2 + 1103*r**4 wrt r.\nAnswer: 54192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*v - 3, d + 13 = 3*d - v. Suppose d = -10*z + 12*z. Suppose z*s + 13*s = 75. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16381 is divided by 8139.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.2 + -10. Let g = -1.1999949 + b. What is g rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -d, 2*d - d - 4 = -i. Let l(r) = -r**3 - 5*r**2 - 3*r + 4. Let k be l(-4). Find the second derivative of f**2 + f**i - f + k*f**2 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) + (sqrt(192)*-2 + sqrt(192) + sqrt(192))*2)) + sqrt(192))\/sqrt(6)*3)**2*1.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32894 or 25599?\nAnswer: 25599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*b + 96*b + 96*b - 14 = -g, -4*b = 4*g - 24 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j = 50*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312302011 - -1113?\nAnswer: 3312303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*h**4 - 373*h**2 - 2*h?\nAnswer: -5856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*6\/20)\/((-10)\/(-75)). Suppose t = -3*p, 3*o - p + 139 + 350 = 0. Are -163 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from aprxq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/11 - 3082*q\/11 + 280 = 0. Calculate q.\nAnswer: 1, 1540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.059591 or -0.4?\nAnswer: -0.059591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2307, -1510, -713, 84?\n\"Answer: 797*o - 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 87713*u. Let g(t) = 456*t. Give q(g(w)).\nAnswer: 39997128*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*m - 276*d**3 - 33*d*m**4 - 2*d*m**2 wrt m.\nAnswer: 2*d**3 - 132*d*m**3 - 4*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from yabyxccbd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 24*p + 24. List the prime factors of l(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27a7 - -21c?\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (0 + sqrt(162))**2 - sqrt(162)) + -1 - ((sqrt(10) - (sqrt(10) + 1*sqrt(10)*4)) + sqrt(10))\/(sqrt(45)*3).\nAnswer: -816 + 136*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*21\/(-18) - (-220)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9623 divided by -9?\nAnswer: 9623\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -898, -883, -868, -853?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(4*b**5 - 4*b**5 - b**5) + 17*b**2 + 11*b**2 - 331*b**5 + 328*b**5.\nAnswer: -4*b**5 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -41*g**4\/24 - 7*g**3\/3 + 2*g**2. Let z(n) = 14*n + 5. Let x(h) = -4*y(h) - 11*z(h). Does 18 divide x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7319, 14683, 22047, 29411?\nAnswer: 36775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 68082.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:53 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 18)*28\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**14)\/(u**(-4\/9)\/u*u*u*u))\/(u**5)**(-2\/189) assuming u is positive.\nAnswer: u**(-2552\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:15 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2543 + -2544. Let h = 8.8 - 9. Let o be 87\/27 + (-4)\/18. Which is the nearest to -1\/2? (a) q (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+-656542\nAnswer: -656541.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8)**(-2\/53) assuming q is positive.\nAnswer: q**(-16\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -967 - -939. Let u be 4\/j*(-112)\/8. Let m(s) = -2*s**2 - 2*s + 1. Calculate m(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/19 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1547)\/28*(-312)\/(-338).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:36 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 39.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose 3*i - 3 = -4*a, i + 3*i - 4 = -n*a. Let v(g) = 0 + 11*g**2 - 12*g**2 + a. Let t(r) = 2*r**2. Determine v(t(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -75834000 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.11 * 0.13\nAnswer: -0.4043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 74. Put -3, b, 3 in descending order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13 - 15 + 18*o + 18*o**2 + 51 - o**3. Let x be w(19). Suppose x*b = -k + 60, -k - 3*b = 4*k - 300. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 273*a\/4.\nAnswer: -a*(a - 273)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*n = 2, q + 102*n = 106*n + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from lxxbbbx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 22 = 2*p. Suppose 0 = 4*s + f - 80, 0*f - p*f + 46 = 2*s. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**2*h**2*w**3 + g**2*h + g*h**2 - 11*g*h - 15*h**2*w**3 + w**2 wrt w.\nAnswer: -48*g**2*h**2 - 90*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*b - 15, -b + 12 + 9 = 3*m. Let h(s) = -s + 4. Let n be h(0). Solve 3*a = -5*r + 15, -r - m = -n*r + 2*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 1, f: 3, q: 2, a: 2, g: 1}. Give prob of sequence ffzc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 301, 703, 1297, 2101, 3133, 4411?\nAnswer: 5953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**2 + 180*l + 176 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6584239*m**2 + 3230*m + 3137 wrt m.\nAnswer: 13168478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 339. Let j = b - -228.9998868. Round j to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 + 9 = 0. Suppose -i + 2*g = -2*i + 37998, v*i - 2*g = 114002. Round i to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 126835 and 126830 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*u - 6 - 7 = 0, 4*q + 4*u = 68. Suppose 3*d = -d + q. Suppose -2 = r + r - 4*c, -5*r - c = -39. Calculate the remainder when r is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -17.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h - 26169 = 610*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3986394 and 3186.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/6 + 5*j**3\/6 + 4*j**2. Let f be h(-5). Let q be (f\/(-20))\/(2\/(-8)). Sort q, -2, 0 in decreasing order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37292 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*d = -326, 2*z + 4*d - 56 - 148 = 0. Solve -z*k = -111*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.8 + -2.2. Let w = c + 23. Is w smaller than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/4)\/(58\/(18560\/48))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 905*k - 64242. Determine o(71).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -98. Let a be (t + -9)\/(1 + -2). Let v = -40 - -43. Put 4, v, a, -1 in descending order.\nAnswer: 4, v, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:57 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 97, 122, 151, 184, 221?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.027 + 0.127. Let q = -7 - v. Do q and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.773 - 0.773. Is b equal to -50\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (2 + (sqrt(5)*2)**2) - ((sqrt(35)*2)\/sqrt(7) - sqrt(5))) + (sqrt(245) + -1)**2 + sqrt(245) + sqrt(245) + 3.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o - 2. Let v be z(1). Let m be (v - 5)*11\/(-33). Let b = 0 - -4. Solve 2 = -m*a, -2*a + 0*a = -b*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 22*n**2 - 38*n - 36. Let w be x(20). Put 5, 3, w, -5 in increasing order.\nAnswer: -5, 3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 3*w)*(2*w + 2 - 2) - 5*w**2 + w**2 - 2*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 668.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-3 + -3) + -121. Let c = a - -130. Solve c*t + y + 2*y - 14 = 0, 4*t - 5*y = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-198)\/(-55))\/(4 + 898\/(-225)). What is the greatest common divisor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26960?\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a = -47*a + 60*a + 936 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let d(w) = -2*w**2 + w + 10*w**2 - w - 17799 + 17788. Determine t(d(c)).\nAnswer: 128*c**4 - 352*c**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 8*h - 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22403 - -111042214?\nAnswer: 111014311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.3 + 5.3. Let a = -53.99979 - x. Round a to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7096720 to the nearest ten thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 2*y**2 + 6*y**2)*(0 + 2 + 0)*(-3 + 3 - 2)*(-4*y + 2*y + y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 536.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b9086 (base 12) to base 7.\nAnswer: 4121046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1\/2*-2. Let l = k + 7. Let b = 15 + -8. Calculate the greatest common divisor of b and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.05 - -1.05. Let u = h + 84. Let s = 28 - u. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b83ed4 (base 15) in base 4?\nAnswer: -201131200033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 1 + 1)*(-7 + 4 + 124*c**3 - 89*c**3).\nAnswer: -35*c**4 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.029796 to 3 dps.\nAnswer: 6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 316. Let q(l) = 5*l + 629. Determine 11*j(a) - 5*q(a).\nAnswer: 8*a + 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.3. Which is bigger: 1\/7 or a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*k**2 - 398*k**2 - 4*k + 1969*k**2 - 406*k**2 - 397*k**2 - 395*k**2.\nAnswer: -20*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.121 - -0.009. Round h to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 + 2*v - 5. Let u be o(0). Let j be (u + 25\/3)\/(1\/6). Find the first derivative of 12 - i - 2*i + 3*i + j*i**2 wrt i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l - 21*l + 62*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -274*t**3 + 1095\/4*t - 137 + 1\/4*t**5 + 1\/2*t**2 + 273\/2*t**4.\nAnswer: (t - 1)**3*(t + 1)*(t + 548)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9362933 + 9362933 + 1810*w**2.\nAnswer: 1810*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131982684 rounded to six dps?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -2934738?\nAnswer: -2934734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vgvvvvvvvvvvhvv?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.258 - -2?\nAnswer: -2.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8290496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36665696?\nAnswer: 2, 1145803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 - 3*b - 2. Suppose -3*c - 6 - 6 = 0. Let q be v(c). Find s, given that q*s**2 - 1 - 10*s**2 + 128*s**3 + 3 + 24*s = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 3*x**2 - x**2)*(81*x + 89*x - 99*x).\nAnswer: -142*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -105377 greater than or equal to -105377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 135241, 2, 1?\nAnswer: 135241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40152730, -40152729, -40152728, -40152727, -40152726, -40152725?\nAnswer: -40152724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4 - 2*j**2 + 58. Find c such that l(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c\/(c**(-9)*c))\/c)\/c)\/(c**13\/c))\/(c**(3\/13)*c\/c**(-1\/71)) assuming c is positive.\nAnswer: c**(-3918\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:11 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7686000 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 52*d**4 - 43*d**4 - 11 wrt d?\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28091835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 333 = -7*y. Suppose 668 = 5*p - 102. Suppose 2*x + 2*t + 36 - 114 = 0, -4*x = 3*t - p. Calculate the greatest common divisor of x and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 1806*m + 23667. Give b(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2452 - 2439. What is the biggest value in -3\/7, 0.22, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1)\/(6\/(-21)). Let h(u) = -3*u + 7. Calculate the remainder when (-17 - -21)*((1 - 2) + (-113)\/(-4)) is divided by h(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 44. Calculate the remainder when 43 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11. What is the second smallest value in -0.04, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 - 1\/4*s**4 + 3\/2*s**2 - 1\/4*s**3 - s + 3\/40*s**5. Factor o(y).\nAnswer: 3*(y - 2)*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006170211 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -400*r**2 - 7217*r - 164. What is g(-18)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -644 - -3227\/5. Which is the third biggest value? (a) 2 (b) g (c) 5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0 + 0*z**5 - 19\/24*z**4 + 0*z - 13\/60*z**6 + 0*z**3 - 39*z**2. What is the second derivative of j(l) wrt l?\nAnswer: -156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, k: 2, z: 1, o: 1}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:24 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0020589 rounded to three dps?\nAnswer: 1.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4*x**2 + 2*x + 1. Let d = -9 - -13. Let a be b(d). Suppose 0 = 5*j - 8*j + a. Solve t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*s - 11*s - 2. Which is greater: -1156 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 9*n + 5*j = -144, j - 56 = n. Let r = n - -384. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/13 + 5106*i**2\/13 + 5108*i\/13 = 0.\nAnswer: -1, 0, 2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 210\/(-378)*-9)*(-2)\/(-60)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1467 and 2608?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 639821*t**2 - 319892*t**2 - 319911*t**2.\nAnswer: 4*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 10, 164063 in decreasing order.\nAnswer: 164063, 10, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9563921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 1. Determine l(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12933332*a - 3. Let j = -5 - -8. Let x be t(j). Let p be x\/4 + (-5)\/20. What is p rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 1847 - 1847.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 - 2335*h**4 + 16175*h**3 - 34545*h**2 + 20700*h = 0.\nAnswer: 0, 1, 3, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/3 - j**3\/3 - 3*j**2\/2 - 3*j. Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from vvwxwt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v. Let g(w) = -3*w**3 - 6*w**2 - 11*w. Let y(d) = 3*d**3 + 5*d**2 + 10*d. Let m(f) = -5*g(f) - 6*y(f). What is 5*h(i) + 2*m(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -1067, -2316, -4053, -6272, -8967, -12132?\nAnswer: -15761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68903, 68951, 69007, 69077, 69167, 69283, 69431?\nAnswer: 69617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7115 and 18.3.\nAnswer: 130204.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**4 - 23*o**4 + 4*o**2 + 131 - 2*o**3 - 2*o**2 - 128 in the form z*o**4 + f*o**2 + w*o + t*o**3 + y and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-12)\/(-2))\/(-12). Let z(m) be the first derivative of -1\/5*m**5 + 0*m**3 - m + 0*m**4 + g*m**2 - 2. What is the derivative of z(l) wrt l?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/8, 0.266, -2 in descending order.\nAnswer: 6, 0.266, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4163057 litres to millilitres.\nAnswer: 416.3057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 4*x + 6. Suppose 0 = 5*l - 16 - 9. Let u be m(l). What is the first derivative of u*h**4 + 3 - 1 + 6 - 3 wrt h?\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 + -108. What are the prime factors of (h\/(-2))\/(20\/(-2920))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*l - 463*l - 459*l + 23236 = 0 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/12 - 1\/12. Let i be (-10)\/16 - (-1)\/4. Let j = i + 25\/24. Is q greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 0, -38, -16 in increasing order.\nAnswer: -38, -16, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10600 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163.85115 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/5 - 348876*w\/5 + 15214307922\/5 = 0.\nAnswer: 87219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-18) - (1437575\/(-45) - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774809 and 887411?\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.87 + 0.07. Round t to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*l**2 - 3083*l**2 + 881*l**2 - 1454*l**2 + 429*l**2 - 880*l**2.\nAnswer: -4346*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {w: 7, m: 2, l: 3}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3958, -7960, -11962?\n\"Answer: -4002*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7205110 divided by 2\nAnswer: 3602555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/720 - m**4\/6 - m**2. Let j(t) be the second derivative of o(t). Let w(b) = -2*b. Determine w(j(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-4 + 43 + 9 - 11)) + -12?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)*b**(-1\/3) assuming b is positive.\nAnswer: b**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l**3 - 5*l**3 - 17 + 0*l + 0*l - l + l**2 in the form d*l + j*l**2 + q*l**3 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-5 + -2*sqrt(2299))*-2 - (2 + (sqrt(2299) + 2 - sqrt(2299)))*6))**2.\nAnswer: -792*sqrt(19) + 36865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 140 = z. Let o(j) = -12*j - z - 5*j + 35. Let t(l) = 2*l. Calculate t(o(m)).\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**5 + 85*q**2 - 85*q**2 + (1 - 1 + q)*(0*q**2 - q**4 + 0*q**2) + (-4*q**2 + 4*q**2 + 2*q**3)*(3*q**2 + 0*q**2 - 2*q**2) + 5*q**5 - 7*q**5 - 5*q**5.\nAnswer: -18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/6 - 929215*v**3\/3 + 863440516225*v**2\/6 = 0. What is v?\nAnswer: 0, 929215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 55, -739, -11 in descending order.\nAnswer: 55, 0, -11, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.31048737163 and -41.\nAnswer: -47.31048737163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114704*s - 73*s**4 + 114821*s - 81*s**4 wrt s.\nAnswer: -1848*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744874*4.\nAnswer: -6979496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/248 and -31\/159.\nAnswer: 39432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -5, -3, -2, -74 in descending order.\nAnswer: 255, -2, -3, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -471273 - -696473. What is r rounded to the nearest 1000?\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 19 = -3*j. Suppose g - a = -0*a - j, 4*a = -5*g - 82. What is the units digit of ((-4)\/(-3))\/((-4)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123.08277273 - 21.91725017. Let j = -145 - t. What is j rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -128) + (11 - 2 - 3). Let v = g + -113. What is the greatest common factor of 580 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2799, -2795, -2789, -2781, -2771?\n\"Answer: h**2 + h - 2801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14723 + (4 - 1) + -1. Let p be (-2*x\/(-112))\/(15\/1018). Let l = 17835 + p. Calculate the common denominator of 31\/6 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let r(x) = x**2 - 2*x - 1. Let w be r(b). Let c = 11 - w. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1829405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b + 4*b - 11*b. Let p(y) = 6*y. Calculate p(h(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**3 + 4*g**3 - 4*g**3)*(4 + 0 - 2)*(-9 + 15 + 53) to t + y*g**2 + j*g**3 + x*g and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*k - 36*k - 11628. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 49 + (1 - 2 - -2). Let q be (375\/9)\/((-2)\/(-6)). What is the highest common factor of h and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.194748182 to 5 decimal places.\nAnswer: -0.19475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4232\/1359 - 34\/151. Let q = -115\/2862 - -5460251\/701190. Let k = q + 228\/49. What is the common denominator of v and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1224851*t**5 + 393804*t**2 wrt t?\nAnswer: 73491060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1. Let p(x) = x + 10. Let m = -8109 + 8110. What is m*p(u) - 4*i(u)?\nAnswer: u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -24*n - 25*n - 24*n + 98*n - 21*n. Let o(x) = 30*x - 1. Give o(h(f)).\nAnswer: 120*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 673, 659, 639?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 5. Let o be l(1). Let q = 6 + 5. Suppose o*f - 5*t = 4, -2*f + 0*t + q = 5*t. Solve -4*x = f*j + 17, -4*x = -x - 5*j + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {c: 1, n: 3, q: 2, w: 4, o: 3, u: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4500)\/(-6480) + (-4)\/9. What is the third smallest value in -1.1, -1\/4, -0.2, 3\/2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 + 19*u**2 - 201*u. Let z(q) = 3*q**3 + 18*q**2 - 200*q. Let j(r) = -5*x(r) + 6*z(r). What is the second derivative of j(v) wrt v?\nAnswer: -12*v + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*1284\/428.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 1. Let h be ((-6)\/n)\/((-38)\/32). Which is bigger: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 + -4.1. Which is smaller: v or 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p. Let h(s) = -1174*s + 156. Let t be h(-22). Suppose p = -k + t - 100984. What is k rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 18786*f\/5 + 4678144\/5.\nAnswer: 2*(f - 9137)*(f - 256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 5*y**2 + 5*y - 6. Let f(z) = z**2 + 14*z + 44. Let p be f(-7). Let b(l) = 2*l**3 + 6*l**2 + 6*l - 7. Give p*b(n) + 6*a(n).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/7)\/(352\/4312)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425 + 425.00313. What is q rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 400 - 5 = 0. Let k(p) = 7*p - 4. Let h be k(-6). Let d = h + u. Calculate the common denominator of d and -43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4252312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 30*g**2. Let o be p(-1). Suppose -6*y = -y - o. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.4 + 14. Which is the nearest to -2\/3? (a) 0.3 (b) d (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2)\/(-8) + ((-35235)\/720)\/(-87). Put -0.3, 0.036, x in decreasing order.\nAnswer: 0.036, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3620 = -2*w - z, w = -z - 604 + 2412. What are the prime factors of w?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -29.7. Let u = -1124.8486 - -1125. Let i = 0.0486 + u. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -115894.1 and -7385.426?\nAnswer: 108508.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 40. Let g = j + 353\/8. Suppose 3*d - 21 = -9. What is the second smallest value in g, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.3894 millilitres to litres.\nAnswer: 0.2563894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 668251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672818575?\nAnswer: 5, 11, 13, 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 33*z**2 + 35*z + 202. Let t(p) = 2*p**3 - 32*p**2 + 81*p - 8. Let a be t(13). Let b be q(a). Round b to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + -2 - (64 + 0 + 140 + -160)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-247*y + 586*y - 98*y + 1)*(-1 - 1 - 4).\nAnswer: -1446*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 - r**2 + r + 9. Let p(t) = t**3 - t**2 + t + 1. Let y(o) = -o**3 - 5*o**2 - o - 6. Let f be y(-5). Let j(u) = f*g(u) + 4*p(u). Give j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + r = -0 + 89, 4*r = 5*p - 106. Let l = 32 - p. Solve -4*k = -4*t + 7 + 13, -4*k - l = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 - p**2 - p - 1. Let c(d) be the second derivative of d**5\/20 + d**4\/12 + d**3\/6 + d**2\/2 + 5*d + 8. Calculate c(t) + h(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1265?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 4. Let g be x(-6). Suppose -2*m = -3*i + 3*m + 5, 3*m + 25 = 4*i. Suppose -6*t + i = 4*t. Sort -1, t, -3, g in ascending order.\nAnswer: -3, g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 9:39 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhghhhh. Give prob of picking 1 g and 3 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -4*w - w = -4*h + 157. Let n be (-2)\/(-3) + h\/(-9). Let y be 6\/(-27) - 1\/n. Which is the closest to -1? (a) 0.1 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 13*v - 30)*(92*v**4 - 267*v**4 - 136*v**4).\nAnswer: 4043*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6929\/(-410)*(-440)\/(-1144)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19114, 76446, 172000, 305776, 477774, 687994, 936436?\n\"Answer: 19111*m**2 - m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5847\/169 and -35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-18)\/(-4))\/((-26)\/52).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55158*g**2*i**3*r**3 + 6*g**2*i**3*r - 185*g*i**3*r - 6*g*i**2*r**2 + 5*i**3*r - i**2 + r**3 - 5 wrt g?\nAnswer: -110316*i**3*r**3 + 12*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-312)\/(-9) - 2)\/(1 - 32\/36). Calculate the highest common factor of h and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2222758?\nAnswer: 5\/2222758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1553 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 311677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:51 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4080 = -12*d. Calculate the greatest common divisor of 255 and d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.144 + 8. Let k = 0.044 + m. What is the second smallest value in k, 4, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1397 + 4441. List the prime factors of y.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 4, q: 2, a: 1}. Give prob of picking 1 a and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 take away -75.27?\nAnswer: 370.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/80 + 323\/240. Let z = 0.3 - -3.7. What is the closest to -5 in 0, z, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*((1*sqrt(700) - sqrt(700))*-5 + sqrt(700)) + -5)*-5)**2 + 1 + 3.\nAnswer: 15000*sqrt(7) + 630629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 - t. Let j be z(-3). Suppose 0 = -19*m + 12*m. Solve 2*o + 2*g + m*g = 18, -15 = -j*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2243747 + 2?\nAnswer: -2243745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 349\/220 - 18\/11. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9324*f**2 - 8*f + 10. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/15)\/((3\/50)\/((-3834)\/2130))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 718730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -41*l + 117. Calculate d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361, 369, 375, 379, 381?\n\"Answer: -c**2 + 11*c + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:24 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2\/329 (c) -0.1 (d) 0.005 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37002515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + 4\/6 + 0)*381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367219 * -11\nAnswer: -4039409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1834493092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2*-5 + (sqrt(1100) + -1*sqrt(1100))*4)**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 19643 and 19643 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.51 + 0.5. Let s = 0.04 - l. Let k = s - -0.05. Is -2 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7191 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let m be l(-3). Calculate the remainder when 4\/10 - (-256)\/10 is divided by 13 + -1 + m\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2 - 66612*d - 666320 = 0.\nAnswer: -10, 33316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose w*f = 7*f. Let k be ((-4)\/10)\/(4\/(-20)). Solve f*z + 10 = k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**3 + 2*x**2 + 2*x. Let n be z(-2). Let c = 54 + n. Factor 15*s**3 + 2*s**4 - s - c*s**2 - 13*s**3 - s.\nAnswer: 2*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*52\/(-273)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 138, 31 in descending order.\nAnswer: 138, 31, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 9 + -5 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 2. Let b be o(-2). Suppose 5*c = -b*a + 2*a + 28, 0 = -c + 4*a - 4. Solve 2 = c*z - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 = g - 3*p, 6 = 4*g + 2*p. Let k = 2 - g. What is the units digit of (k - (1 + 0)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156430997 to the power of 1\/2, to the nearest integer?\nAnswer: 12507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - 287\/(-49)) + (-14183)\/(-7). What is the hundreds digit of d\/10 + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/24)\/5)\/(15*(-315)\/600)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 16) + -8 - (-39 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -914 + 918. Suppose a - 7 + 1 = 0. Suppose -3*q = -3*b + 3, a*q = 2*q - 3*b + 17. Is i < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-65)\/16 - -4)*(0 + -162) and 36\/(-4)*1\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.1. Let g(h) = -3*h - 11. Let p be g(-5). What is the nearest to 1 in 1\/10, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 52*h - 171. Put h, -1, -5, -4 in increasing order.\nAnswer: -5, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**3 + 7*n**2 - 3*n + 3. Let o(m) = -22*m**3 - 13*m**2 + 5*m - 5. Let g(d) = -3*o(d) - 5*q(d). Find the third derivative of g(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126588 (base 12) to base 8\nAnswer: 1114670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19)**(1\/70) assuming p is positive.\nAnswer: p**(19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3069*s - 783*s + 48789 + 12933 = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8216 - 0.0384. Let d = y + 2.86. What is the smallest value in -2\/7, -7, d, -2\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20394802.\nAnswer: 2, 907, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-9 + 14))*(-12)\/7. Solve 31*w - 28*w = -i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43439 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782288 = -55*n - 312533. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0.2, 2\/67, 1.1, -3, 3\/5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5128667 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**7\/30 + 2*y**6\/15 + 11*y**5\/60 + y**4\/12 - 9*y**2\/2 + 18*y. Let c(b) be the first derivative of f(b). Factor c(a).\nAnswer: a*(a + 1)**2*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let o(s) = 3*s - 6. Let w(l) = -l + 1. Determine h*o(j) - 4*w(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 3*a**4 + 5*a**4 - 3*a**3 - a**4 + 4*a**3 - a as u*a**4 + h + k*a**3 + g*a**2 + j*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -3\/4 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 392, 1561, 3510, 6239, 9748?\n\"Answer: 390*w**2 - w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 57262 = -a, -12218 + 31275 = m - 4*a. What are the prime factors of m?\nAnswer: 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 - 3*h - 16. Let q(l) = 5 + 15 - 1 + 12 - 24*l**2 + 4*l. Let r(b) = -4*q(b) - 9*y(b). Differentiate r(p) with respect to p.\nAnswer: -6*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*3*2\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104844 is divided by 3867.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -72 + 14*f + 138 - 74 - f**2. Let z be g(12). Solve -k + 4*o + 17 = -4*k, -z = -k + 3*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455212.\nAnswer: 2, 11, 33073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2537, -10465, -23727, -42329, -66277, -95577?\nAnswer: -130235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 68. Solve s = -4*m, -2 + 3 = -t - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -1. Let s(m) = -q*m + 8*m**2 + 2 + 2 + 1 + 3*m. Let c(z) = 9*z**2 - 6*z + 6. Calculate 6*c(i) - 7*s(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 5. Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/8257607 or 0?\nAnswer: 16\/8257607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72660 (base 11) to base 12.\nAnswer: 51385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2260564783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5)\/(-20) + (-86)\/(-8) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/22127 and 34\/85347?\nAnswer: 597429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 10*f**2 - 24*f + 1. Let p be n(-5). Let w(s) = s**2 + 7*s + 6. Determine w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(612))**2 + sqrt(612).\nAnswer: -66*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 285. Which is greater: -126 or s?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 3. Let f(v) be the third derivative of 0*v + 0 + 6*v**2 + 1\/6*v**3 + 1\/12*v**4. Let q(b) = -2*b + 6. Let m be q(5). Determine m*g(k) + 11*f(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46676 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81535 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.085+245896\nAnswer: 245896.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/723 and 19\/49651?\nAnswer: 35897673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 170*i**2 + 3*i**3 - 4*i**3 - 80*i**2 - i**3 - 87*i**2 as t*i**2 + x*i**3 + g + f*i and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 271043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82537, -82600, -82663, -82726, -82789, -82852?\nAnswer: -82915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3\/4 + 1151*p**2\/4 - 1731*p\/2 = 0.\nAnswer: -1154, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1931 divided by -23\nAnswer: 1931\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500332.\nAnswer: 2, 7, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Let w be 39\/12 - (-3)\/(-12). Let v(p) be the first derivative of 1 - 32*p**3 + 18*p**w + 13*p**3. What is v(j(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m**2 - m. Let y(d) = d**3 + 102*d**2 - 256*d + 88. Let f(c) = 4*q(c) + y(c). Factor f(p).\nAnswer: (p - 2)*(p + 22)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(175)\/sqrt(5))\/(sqrt(700) + sqrt(700)*-2) - ((sqrt(420)*3 - sqrt(420))\/sqrt(12))\/(sqrt(343)*1).\nAnswer: 3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 39*i - 2 = -38*i, 4*s + 4*i = 40 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + b - 2*b - 60 = 0, -255*b = 2*i - 257*b - 36 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/3 - 22*m**4 - 192*m**3 - 512*m**2\/3 = 0. What is m?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 - p + 1. Give u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(c**2 - 2*c**2 - c**2) - 6*c**2 + 2*c**2 + 3*c**2 + 28*c**2 + 32*c**2 - 16*c**2.\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.11 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*w - 2*r = 119*w - 3, 3*r = -4*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = w. Let i = -1202.21 - -1202.31. Sort i, w, 2, -1\/2 in descending order.\nAnswer: 2, i, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1957?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + -1 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 97 = -31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/9? (a) -2.62 (b) -0.3 (c) -0.137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -278*i + 122*i + 120*i - 108. Let f be (1\/(-2))\/(1\/(-10)). Put 0, i, -2, f in descending order.\nAnswer: f, 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -27863733*z**2. Let w(f) = -f**2. Calculate b(w(j)).\nAnswer: -27863733*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 11*o**3 - 5*o**3 - 19*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z**2 - 7*z + 39. Give o(5).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 212?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*m - 4*m + 16, -3*m + 18 = 2*r. Suppose 5*q = 5*b - 80, 12 = -3*q - 2*b - 6. Let d be (-11118)\/(-30) + r\/q. Round d to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5304 + 7*d**3 - 8*d**3 + 3*d**3.\nAnswer: 2*d**3 + 5304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1457, -5, 2 in ascending order.\nAnswer: -18, -5, 2, 1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*a**2 - 12041 - 11977 + 24063 in the form z*a + u + d*a**2 and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 69 = 10 - 77 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r. Let l(g) = g + 2. Let i be l(3). Let x(v) = -2*v + 4*v - 5*v. Determine i*c(k) - 14*x(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6342580 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:16 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(1053) + -2)*-3)**2.\nAnswer: -594*sqrt(13) + 9598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7084 by -644.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 - 5432*g**3 - g**2 - 97*g?\nAnswer: 24*g - 32592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 19*m**7\/105 - m**4\/8 - 122*m**3\/3 + 214*m**2. Find the first derivative of r(q) wrt q.\nAnswer: 152*q**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158671 is divided by 577?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose -5*g + 30 = t*x, 0 = 5*x - x + 3*g - 29. What is the tens digit of (-3)\/x + (-58)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 + 11*n**2 + 28. Calculate the remainder when d(-7) is divided by 121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.2 or 4062?\nAnswer: 4062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -23, 0, -2, 18, -42.\nAnswer: -42, -23, -5, -2, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 49*b**3\/6 - 4*b - 72. Let t(z) = 11*z. Determine g(t(n)).\nAnswer: 539*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -517\/7 - -27143\/364. Let w = 1307\/13 - 101. Let d = f + w. Which is the second biggest value? (a) 3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 889, 888, 883, 874, 861, 844, 823?\n\"Answer: -2*f**2 + 5*f + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 765*s**2 - 60*s + 485. List the prime factors of x(7).\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6914.9191 rounded to the nearest 10?\nAnswer: -6910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 7. Let v = -413 + 417. Suppose -4*k - n = -z, 2*z + 0*z = v*k + 18. Solve -3*x = -z*q - 21, 5 = -5*x - 2*q + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:38 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 506502.7?\nAnswer: 2532513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -3447\/223228 and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32be (base 16) in base 11?\nAnswer: 983a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 136*g - 266*g + 131*g. Let d be 6\/12*2*1. Let v(r) = 1. Give d*p(y) - 3*v(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)*((d\/(d\/((d\/d**(6\/5)*d)\/d))*d)\/d)\/d assuming d is positive.\nAnswer: d**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 1004, 1479, 1936?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -18. Suppose 0 = -15*w + 10*w + i. Let t(g) be the third derivative of g**6\/120 - 7*g**5\/60 + g**4\/3 + g**3\/6 + 19*g**2. Calculate t(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.26424922 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5135.4 - -5133. What is the nearest to 2\/7 in 3, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -218. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 27*n**2 - 31*n - 13. Let g be 8\/2 - -17 - -4. What are the prime factors of a(g)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824319668.\nAnswer: 2, 13963, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98281458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*k - 0*k - 6, -2*i + 6 = -2*k. Let p be -2 + ((-2)\/(-2) - 0). Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, -6, 174, 0 in ascending order.\nAnswer: -6, 0, 174, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 18459?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 + 204\/765. What is the closest to c in 0.1, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063699453 to the power of 1\/2, to the nearest integer?\nAnswer: 32614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-59)\/118 - 3\/2)*-240. What is the highest common factor of 48 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**3 + 4*b**3 - 2 - 3 - 5*b**3 in the form z + l*b + c*b**2 + s*b**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Calculate the remainder when 39 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17858.7 rounded to the nearest one hundred?\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -f + 2*m - 17, 5*m = -5*f - 70. Let w(u) = -2*u - 15. Let k be w(f). Let d be 10 - k - (0 - 2). Solve -5*z + 23 = -2*l - 0*l, 5 = 2*z - d*l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let n(u) = 26857*u - 2. Give z(n(g)).\nAnswer: 1442596898*g**2 - 214856*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -679848983 to the nearest 100000.\nAnswer: -679800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014535 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77784 divided by 3.\nAnswer: 25928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:14 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -5*c**3\/6 + 14984*c. Suppose -5*a + 2*k = -10, 0 = 2*a + 3*a - k - 10. Let d(m) = -2*m + a*m - 2*m. Determine l(d(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 + -7 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 5*s - 334. Suppose 0 = 7513*h - 7528*h - 1635. Let i = h + s. Let j(x) = 18*x**2. Give j(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251773.452 rounded to the nearest 100?\nAnswer: -1251800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l - 6. Let y = 633 - 614. Suppose t = 5*f - y, -3*t - t + 39 = 3*f. What is v(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -935 + 1434. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(1 + -19). Suppose v + 5*l + 11 = -y, 4*v = 4*l + 40. Let b(p) = -2*p + 36. Let g be b(16). Sort v, 3, g in increasing order.\nAnswer: 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) - (sqrt(231) + 2*sqrt(231)))\/sqrt(11) + sqrt(84)*2)\/(-1*sqrt(567) - sqrt(567) - sqrt(84)\/(sqrt(24)\/sqrt(2)))*-4)**2.\nAnswer: 192\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - sqrt(832)*1*-3.\nAnswer: 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/23)*x*x\/x**(1\/8) assuming x is positive.\nAnswer: x**(321\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2463 = -4*t. Let i = t + -379. Suppose -4*c + 1250 = 3*p - 834, -4*c - 5*p = -i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -871155 (base 12) to base 7\nAnswer: -24112331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-346)\/(-14) + 2\/7. Let c = -66310 + 66314. Sort c, s, 0, 1 in decreasing order.\nAnswer: s, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 25874030 in decreasing order.\nAnswer: 25874030, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, 5, 12, 19?\n\"Answer: 7*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219586, 219572, 219558, 219544, 219530, 219516?\nAnswer: 219502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -46 - (56 - 94).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*z - 2*z = 1735, -u = -z - 341. What are the prime factors of u?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/1 + 0)*(-45)\/90. Let l(d) be the third derivative of -d**4\/24 - 5*d**3\/6 + d**2. Let f(s) = -2*s - 6. Let p(j) = a*l(j) - 2*f(j). Give p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2730 and 5278.\nAnswer: 79170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from gvfvgvvvg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12272 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -21. Let i = -21 - m. Let k = -2153\/9 + 239. What is the second smallest value in i, 2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1831 - (-12)\/(-18)*(-12)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.628 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 31666 - 25108 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 3*o**3 - 2*o**3 + (-1 + 5 - 7)*(-o + 3*o + 4*o)*(4 - o**2 + 2*o**2 - 1) as r*o**2 + w + y*o + s*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-136)\/(-18))\/((-2)\/(-3)). Let i = d + -11. Let m = 0 - -1. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29189 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txtgttgtgnan. What is prob of picking 2 g, 1 x, and 1 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Evaluate 112\/(12 + -4) - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130397 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/15 + 2\/105. Let g = -4.92 + 0.92. Let h = -329\/565 + -2\/113. Which is the nearest to 0.3? (a) r (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 1.1361, -0.03 in ascending order.\nAnswer: -0.4, -0.03, 1.1361, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 8*s**2 + 5*s + 32. What is h(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472937 divided by -3?\nAnswer: -472937\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.353 - -0.047. What is the second smallest value in -8, g, -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 4, n: 6, g: 3, y: 1}. Give prob of picking 1 y, 1 c, and 1 j.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 - 526042*a\/15 - 175348\/5.\nAnswer: 2*(a - 263022)*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 4, 5376?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 8*h - 14. Suppose 2*t = -t + 5*i - 8, 17 = -2*t + i. Is 19 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38527163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/2 - 6639*i**2 - 7352688*i - 14678832.\nAnswer: -3*(i + 2)*(i + 2212)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-94)\/846)\/(2\/(-6)))\/(2\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.048? (a) -154.1 (b) 9 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*c - 4312 = 5016, -18644 = -2*i - 2*c. List the prime factors of i.\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 14 = 4*y, -6*j - 2*y - 32 = -2*j. Let s be (125\/j)\/(2\/(-4)). Suppose -90 = 9*t - 24*t. Solve -l = -t*l + s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.034 and 0.9.\nAnswer: 0.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316 at least 3314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9470, 16023, 22572, 29117, 35658, 42195, 48728?\n\"Answer: -2*i**2 + 6559*i + 2913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(171) + sqrt(171)*1)*-4 - sqrt(171))\/(sqrt(63)\/(sqrt(7)*-4)))**2.\nAnswer: -73872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.028 - 15. What is t rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13096431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372 - 357 + 683)*(-5*h**2 + h**2 + 6*h**2).\nAnswer: -92*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 - 7*q**2 - q - 5. Let b(h) be the third derivative of h**6\/40 + 2*h**5\/15 + h**4\/24 + h**3 + 330*h**2. What is -5*b(o) - 6*c(o)?\nAnswer: 9*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -114.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r - 305. Determine l(-30).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-24)\/9))\/((-13)\/52*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/6 + d. Let i(w) be the first derivative of 4 + 0*w + 0*w**2 + 1\/3*w**3. Determine x(i(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 10*c**2 + 7*c + 22. Let y = -6 - -15. Let b be s(y). Suppose -5*n + 153 = b*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.343 + -0.343153. Round h to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 704. What is the remainder when l(19) is divided by 99?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15107, -14985, -14863, -14741?\n\"Answer: 122*v - 15229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563 divided by 4374?\nAnswer: -2563\/4374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-11)))\/(a\/a**(-2\/9)*a)*(a\/a**(1\/4))**(-25\/3) assuming a is positive.\nAnswer: a**(-737\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1042 = -5*b, l - 3*l + 2058 = -3*b. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -40. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 134 = -134. Solve 2*u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74*(-5)\/(-5)*(-5)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.883 and 6.7876?\nAnswer: 33.1438508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**3 + 14*d**3 + 18*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 2 (c) -0.3 (d) -0.5 (e) 4\/7 (f) 20560.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**6\/z*z*z)\/z)*z**(-11)*((z*((z\/(z*z**(3\/4))*z)\/z)\/z)\/z)**7)**(-35) assuming z is positive.\nAnswer: z**(3955\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.5. Let p be (-16)\/(-28) + 133\/(-147). Which is the third biggest value? (a) o (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 6*l + (-23 - 48 + 19)*(l - 2*l + 0*l).\nAnswer: 58*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/138 and (-4)\/(-1) + (54\/(-32))\/(-3).\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 1. Suppose -5*p + v = -54, -2*v - 30 + 12 = -p. Calculate the smallest common multiple of p and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - 1) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 183032*k + 56. Suppose 0 = u - 2 + 35. Let o be z(u). Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let u be (-2)\/(-10) + 1\/(-10)*-8. Let m be n\/4 - (1 - u). Solve -t + 1 = m, -4*t + 1 - 9 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20) - (-7)\/(-40)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1079 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 10 - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -18. Suppose -y - t = -6*y. Suppose y*v = -9, 5*k + 0 - 19 = 3*v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 2636549*v**3 - 9802125*v**2.\nAnswer: -60*v**2 + 15819294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblbjbjjjljjjjbb. Give prob of sequence jbbl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.7337698 to the nearest integer.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35671.99916438 - -35672. What is i rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - (-2 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Is 0 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 27*x**2 + 27*x - 18. Let v(l) = 6*l**3 - 52*l**2 + 56*l - 35. Let f(y) = 5*t(y) - 3*v(y). Factor f(o).\nAnswer: -3*(o - 5)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n + 4*n**2 - n**3 + 1\/24*n**4 + 0. What is the derivative of d(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810\/3*36\/24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 673.28 - -1911.\nAnswer: 2584.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 12*k + 11. Determine p(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.2. Let o = h + -4.2. Let t = -66\/35 - -16\/7. Sort o, -1, t in decreasing order.\nAnswer: t, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8981921 (base 10) to base 5.\nAnswer: 4244410141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/17 + 26376*b**3\/17 - 158318*b**2\/17 + 131940*b\/17 = 0.\nAnswer: -13194, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.2, -3\/7, -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -2, 1\/9, 1, -5, 1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13e (base 15) to base 2\nAnswer: 100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440\/(-1260)*(-7)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11540 + 16851. Suppose -32*s - 15*s = -w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.6365304012 - 124.\nAnswer: -109.3634695988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 + 2*v + 3. Let j be g(-2). Let m(p) = -p**3 - 4*p**2 + 83*p + 66. Let i be m(-11). Let h = 18 + -13. Solve i = -j*z + h - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45730589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4958 + 4952. Which is the fourth biggest value? (a) -3 (b) t (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51875 by -10375.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10830.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let c(p) = 2*p**2. Calculate 3*c(o) + 4*k(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1)*a)*a**(1\/4)*a**(3\/4)\/(a\/a**(-3)*a))\/((a**(-2\/9)\/a*(a\/a**4)\/a)\/(a**(1\/2)*a*a*a**4)) assuming a is positive.\nAnswer: a**(139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2) - (-12)\/(-24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4390973*y**5 - 28908*y - 19.\nAnswer: 87819460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5751 is divided by 147?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 9*u + 4. Let z be r(-6). Suppose c = 5*h - 2*c + 86, 2*h + 4*c + 24 = 0. Let i = h + z. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/30)\/((-6)\/(-4)). Let d = -0.075 - 4.925. What is the third biggest value in d, -0.1, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011011 (base 2) to base 12.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/84 + 2*b**7\/21 + b**6\/5 - 4*b**5\/15 - 4*b**4\/3 + 1858*b**2. Factor h(q).\nAnswer: 4*q*(q - 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.2. Let o = 4.12 + -4. Let a = o - -0.38. What is the closest to w in a, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -16\/3, -2?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or 110?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2012c00 - 7?\nAnswer: 2012bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (5 - -30) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-9328)\/960 - (-150)\/(-125)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4893 divided by -4.\nAnswer: 4893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 3*p**2 + 6 - 4*p - p**2 - 4 - 2*p**3 + 5*p to l*p + h*p**3 + f + t*p**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 10*v**2 + 13*v - 30. Calculate i(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7958904 to the power of 1\/2, to the nearest integer?\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3132283 - 143*x + 3132292 + 52*x as p + y*x and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -115. Solve 0 = -2*w - w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 6*u - 9. Suppose -90 = -u*o + 6*o. Let y = 93 - o. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + ((-1*(4*(sqrt(143) - sqrt(143)*1) + sqrt(143)))\/(-5*(sqrt(66)*-2 + sqrt(66) - sqrt(66))\/sqrt(6)))**2).\nAnswer: 561\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*t - 31 = -84, t = -1. Let v be (6609\/p + (-1)\/(-4))*1. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d + 424*d = 7018 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -206136 divided by 2498\nAnswer: -103068\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/((-5)\/70*-119)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + 4?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 607943*b**3 - 4*b**2 - 16903741*b.\nAnswer: 3647658*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*z + 115 = -0*z, 115 = 5*p - 3*z. What is the remainder when 166 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -26. Solve v - 1 = c, w*c + 1 = 5*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -470?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 m, and 1 k when four letters picked without replacement from {n: 2, y: 1, k: 1, m: 4, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i - 3*t = -15, -5*t + 10 = 0. Which is the third biggest value? (a) i (b) 4 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31811 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1945 divide 355427355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55\/2 - 1\/4*x**2 + 53\/4*x.\nAnswer: -(x - 55)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.1 (c) 0.24 (d) 1\/8 (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**2 - 177678*g + 3376965 = 0.\nAnswer: -59245, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 1088?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*v = 363*v - 181*v - 13068. Suppose 16 = -2*z + 60. Calculate the highest common divisor of z and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -257, 3\/4, 5, 7 in increasing order.\nAnswer: -257, -0.3, 3\/4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 42*s**2 - 21*s - 8. Let b be t(-10). Solve -4*w - 4 = 4*h, -5*w + h - b*h - 13 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 172*y - 29. Let f(p) = -p**3 - 18*p**2 + 19*p + 1. Let u be f(-19). Does 11 divide o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, z: 1, n: 2, o: 2, r: 1}. Give prob of sequence oh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 + -0.7988562.\nAnswer: 153.2011438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30\/7 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 1\/2 (b) 2 (c) 3407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and 405692?\nAnswer: 38135048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-105 - (-36 + (19 - -8 - 11))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2797 and 2798 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x**5 - 166*x**4 - 1856*x**3 - 4432*x**2 - 3488*x - 352 = 0. Calculate x.\nAnswer: -2, -2\/17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45615 + 9*x**3 - 90902 + 45503.\nAnswer: 9*x**3 + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/878 and -87\/2.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5861, 5785, 5813, 5945?\n\"Answer: 52*t**2 - 232*t + 6041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 2*c = 11*t - 8, -4*t - c - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10467*s = -10441*s + 259 + 1 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 8*m + 2*m + 24 = -50*f - 2*m, 69 = 4*f + 13*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/49721 and -62\/2166415.\nAnswer: 15164905","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2.32 * -30919.\nAnswer: 71732.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6109?\nAnswer: 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 470060, -0.1, 0.5, -2, -3, -1?\nAnswer: 470060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23082 + -12235. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 6*b + 9*b**2 - 6*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (18 + -6 - 24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 899060021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 4. Let r be l(5). Let o be 112\/18 + 8\/(-36). Let y be (0 + (-1)\/8)*o. Which is the second smallest value? (a) y (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6716 and 1112228?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -1\/24*b**4 + 2*b**2 + 1\/60*b**5 - 1\/3*b**3 + 0 + 0*b. What are the prime factors of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 2, -14, -32?\n\"Answer: -b**2 - 11*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 2 + 2*q + 1 - 1. Let u be m(-1). Solve 0 = -5*a + 5*t + 40, -4*t - 9 - u = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-35))\/((-3)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -21. Suppose -4*y + 3 = 2*o - 5, 1 = 5*y - 2*o. Let l be a*y\/5*-2. Does l = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:22 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91327, -91379, -91431, -91483, -91535, -91587?\n\"Answer: -52*r - 91275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-28)\/16)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3102.8+-1697952\nAnswer: -1701054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408418 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 112 - (-4246 + 4268)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 2. Which is greater: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 6*f - 3*f + 1)*(-3 + f**2 - f + 3).\nAnswer: 3*f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 3*g**4 - 3 + 4 + 6 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32721517174394\/63619 + -514335610. Let i = t + -6\/563. Let c(a) = -a**3 - 2*a**2 + 2*a - 4. Let h be c(-3). Is h not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/30 and (-33)\/(-792)*(-1552)\/92.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 + 1226\/9. Suppose 4*y - 2 = -2*s, 0 = y - s - 2*s + 3. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*-4)\/(sqrt(54)\/(sqrt(45)\/sqrt(5))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 3\/8*p**6 + 10*p**2 + 5\/112*p**8 + 0*p**4 + 0*p**3 + 0 - 1\/6*p**5 + 0*p - 5\/21*p**7. Determine f so that a(f) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162\/13 or 11?\nAnswer: 162\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 6947?\nAnswer: 6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 650\/(-195)*12\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411423 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: Subtract -190477 from 5.953943.\nAnswer: 190482.953943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6) + (-140)\/21)*-43. Let l = n - 112. List the prime factors of l.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/25)\/(8\/10). Let q = 17 + -19. What is the closest to z in -0.4, 2\/9, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3854 + 3762. What is the nearest to -1\/3 in 0.1, i, 1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 - 1.1. Let c = 88 - 442\/5. Put c, h, 2\/11 in descending order.\nAnswer: 2\/11, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - c - 30*c = 1836 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g + 4390 - 4595 = 0. Solve -g*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -1 + sqrt(1872) - sqrt(1872)) - (6*sqrt(1872)*-2 + sqrt(1872) + 1 + -1*sqrt(1872) + sqrt(1872)))**2.\nAnswer: -6600*sqrt(13) + 227137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/((-33099)\/(-236))*(-44)\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/7 - 54415*o**2\/7 - 4454871*o\/7 + 23634855\/7 = 0. Calculate o.\nAnswer: -54333, -87, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 22*n + 147. What is q(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6693286.\nAnswer: 2, 61, 83, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1235 in 11, 0, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 + 203097*o**3 - 2205068*o wrt o.\nAnswer: -24*o**2 + 1218582*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = -5*g + g, -k = -3. Is 141*6\/72*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*i**5 - 2*i**4 + 17*i**3 - 4349*i**2 wrt i?\nAnswer: 4320*i**2 - 48*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 4, t: 3, x: 8}. Give prob of picking 1 t and 2 m.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -5, -54720.\nAnswer: -54720, -5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172793443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-234)\/45*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27 + 0)\/(-9) - -11048. Suppose -587 + u = 48*w. What is the remainder when w is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1658*i**3*n**2 - 45*i**3 - 4155812*n**2 wrt i?\nAnswer: -4974*i**2*n**2 - 135*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 7) to base 14\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178807815?\nAnswer: 3, 5, 1523, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2639 by -12.\nAnswer: -2639\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 7850 - 7841 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130393.\nAnswer: 83, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7381*h**3 - 3687*h**3 - 3675*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 251*z**3 + 0*z - 186*z**3.\nAnswer: 65*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 350244?\nAnswer: 11207808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:55 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -754, -1504, -2252, -2998, -3742, -4484?\n\"Answer: c**2 - 753*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 46 = -69*r + 106 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1602716 = w - 1090373. Suppose 4*i = 10106911 + w. Round i to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2498699 millilitres to litres.\nAnswer: 0.0002498699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.973 - 1.9729325. Round q to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*b - 8, -5*z - b - 18 + 29 = 0. Factor 0 + 2*k**4 + 0*k**z + 0*k + 2\/3*k**5 - 8\/3*k**3.\nAnswer: 2*k**3*(k - 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**5\/12 - 7*h**4\/24 - 5*h**3\/6 + 2*h**2. Let t(j) = -j**2 - j - 1. What is -s(n) + 6*t(n)?\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -10, 1\/3, -14\/37?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0.02, -1, -3, 2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27064 - 27069. Which is the closest to i? (a) -1 (b) -0.64 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443 - -2234?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463675 divided by -5.\nAnswer: -92735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -20.9. Which is the second smallest value? (a) m (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 16*h = 19*h - 155 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.946 + -48. Let s = u - 43.946. Let r = s - -43.9999958. Round r to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 14*m - 28 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -838 (c) -2\/13 (d) 0.3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 688 and 694 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33368682 and 12.\nAnswer: 66737364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/104059?\nAnswer: -6\/104059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 19*c. Solve 0 = -3*r + 5*u - 12, -2*r = -c*r + 3*u - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j - 16. Let c be h(-8). Let g = 110 + c. Let s(d) = -14*d - 10*d**2 + g*d**2 + 14*d. Let x(y) = -2*y. What is s(x(r))?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 31. Let m = -0.87 - -0.77. Which is the nearest to m? (a) 1 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*f**3 - 50*f**2*q**2 - 2*f*q**2 + 829*q**2 wrt f?\nAnswer: -744*f - 100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/((w*w\/(w*w\/(w*w**0))*w*w)\/w))\/w))\/w)**(-2\/9) assuming w is positive.\nAnswer: w**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -128. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 + 18456*t**3 - 18472*t**3 - 8*t**2 + 22*t**2.\nAnswer: -16*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.141 - 320.\nAnswer: -320.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q + 1. Let d(l) = -317840*l. What is d(v(f))?\nAnswer: 4449760*f - 317840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1388\/1683585?\nAnswer: -1388\/1683585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 8\/3, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:02 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 4*v + 4*v + (3 + 2 - 3)*(2*v + 0 + 0) - 6*v + v + 2*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604591557.\nAnswer: 2604591557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**7\/j)\/j)**(-2\/21) assuming j is positive.\nAnswer: j**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + u - 3)*(0*u**2 + 3*u**2 - u**2)*(-3*u**2 + 5*u**2 - u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 20*j**2 + 2*j + 45. Let w be m(-20). Solve -a - 3*q + 1 = -w*q, 5*q = -2*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2) + (-2)\/(-4). Let x(l) be the second derivative of -100926*l**5\/5 + l**3\/3 + l**2 + 6*l. Let z be x(i). Round z to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35280 is divided by 136?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1128 and 269617944?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 14?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 5*p - 43 = -5*w, 0 = -4*p + 2*w - 46. Is (-3)\/12 + (1887\/p)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 51348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*-54\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/21 + 40*f**3\/21 + 64*f**2 - 1858*f - 1. Factor h(a).\nAnswer: -4*(a - 28)*(a + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 114*b + 1112. Is 13 a factor of j(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/24 + -1)\/(17043\/(-1924) - -9)*-7?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52600709*l**3 - 134516396*l wrt l?\nAnswer: -315604254*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1217 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 188*g - 272. What is the remainder when 622 is divided by y(2)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*k = 5*x - 26, -2*x = -k - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*h. Suppose -g + h = -2. 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 l(k) = 71*k - 110. Is 10 a factor of l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 16\/21*r**3 + 1\/6*r**4 - r + 0 + 4\/7*r**2. Find o such that w(o) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -735 - 5?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3260.215 to zero decimal places.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*i - 1 + 15, 4*i = -2*o - 4. Let r = o - -2. Let g = -22 + 33. Calculate the remainder when g is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 3*a - 35, 0 = c + 2*a - 6. Let p be 1 + (2\/(-4) - 1). Put c, -0.1, p in decreasing order.\nAnswer: -0.1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**4\/24 - 35000*g**3 + 3*g**2. Let t be a(0). What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = -7, -149 = -3*j + 4*c. Suppose 4*l - 13 - j = 0. Solve 0 = -4*t + 2*u + 20, -4*t + 3*u + l = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4091 - -8150. Suppose 863 - c = -17*v. Calculate the remainder when v is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*u**3 + 0*u**2 + 0 + 0*u.\nAnswer: -2*u**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 - 3*o**3 + o**3 + (-2*o + 5*o + 2*o)*(-1339*o**2 + 49*o**2 + 45*o**2 - 1276*o**2 - 659*o**2) in the form k*o**3 + f*o + d + v*o**2 and give k.\nAnswer: -15902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n + 4*z, -2*n - 3 = z - 4*z. Let b = n + 9. Let y be 5\/2*b\/5. What is the greatest common divisor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39.05228 + -3352.1\nAnswer: -3313.04772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Suppose -d*q = 2*q + 8, -621 = -w + 5*q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -606\/7 or -87?\nAnswer: -606\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*v + 20, 4*h + 2*v = 3 + 7. Suppose -6*d - 2 - 100 = h. Let j = -15 - d. Round j to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/54 or -5.933?\nAnswer: -13\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/107 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.44089 centuries to decades.\nAnswer: 714.4089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -1. Let l = x + 1. Let m be 2\/26 - (-804)\/871. What is the smallest value in -0.4, m, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214583 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 3. Suppose -s + 5 - 2 = 0. Give k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -144, -455, -930, -1569, -2372, -3339?\n\"Answer: -82*w**2 + 99*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*m - 3*h, -4*m + 4*h = -m + 35. Suppose -4*j + 115 = -157. Let c = j + m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -65.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 11:32 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1164 and -61\/1746?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obxd when four letters picked without replacement from {b: 1, s: 1, d: 6, n: 2, x: 5, o: 2}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557855, -557857, -557859, -557861, -557863?\nAnswer: -557865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2754773\nAnswer: -1\/2754773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10407 - -10406.95799. Let h = m + 0.042. Round h to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, n: 15}. Give prob of picking 3 o and 1 n.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -58 - 7\/((-7)\/4). What is the common denominator of 143\/6 and (-939)\/s + 1\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-5 - 0 - ((-22 - -6) + 4) - -2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33388, 33395, 33412, 33445, 33500, 33583, 33700, 33857?\n\"Answer: j**3 - j**2 + 3*j + 33385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 54.7. Let m = s + 0. Sort 26, 0.4, m in increasing order.\nAnswer: m, 0.4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17504.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50589.\nAnswer: 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -110.00047. What is f rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -7660\/1071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 3504880?\nAnswer: -1401952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(3*2\/(-28)). Suppose 2*j = j - 4*a - q, -j - 2*a - 8 = 0. Let f = 7 + j. What is the nearest to 1\/2 in f, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2049861640.447 - -0.5?\nAnswer: -2049861639.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 3*q**3 - 4*q**3 + 2*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -26. Let b(v) = -14530*v**2 - 11*v + 8. Let t be b(u). Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6187\/4 - 1555. Calculate the common denominator of v and 16 + -6 + (-5269)\/462.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Let t = d + -2. Let y = 7 + -3. What is the third biggest value in t, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10752*b**5 - 2*b**3 - 687*b**2 + 72528*b - 321 wrt b?\nAnswer: 215040*b**3 - 12*b - 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (21 - 4) - (-11 + (2 - -6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*b + b. Let j = 2 - b. Suppose j*v - 2 = 3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + p**2 - p**2 + (-3 + 1 + 3)*(6*p**5 - p**4 - 4*p**5 - p**4).\nAnswer: 4*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778491.\nAnswer: 3, 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/((-9)\/12). Is 13 a factor of (b - 1)\/((-7)\/49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Suppose -5*z + 9 = -m. Suppose q - 3 = -3*n, z*n + 32 = 3*q + 2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(4*sqrt(54)))\/((sqrt(6) - (sqrt(324)\/sqrt(6))\/sqrt(9)) + sqrt(18)\/sqrt(3)*-1))**2*-1.\nAnswer: -7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2414 or -1?\nAnswer: 3\/2414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 272*w + 24782. Calculate n(72).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80741178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*t + 3 = 8, 2*d - 4*t = 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1440)*-1*4)\/(-5*(1*sqrt(500)*3 + sqrt(500) + sqrt(500))).\nAnswer: 48*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-60)\/(-80)*11\/(-3) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 68 = -328. Let q(c) = 2*c - 29. Calculate q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240.34 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 - -1.58?\nAnswer: 1135.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1635)\/(-10)*(-64)\/(-36). Let k = -290 + o. What is the nearest to 0.1 in k, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15505, 15503, 15501?\nAnswer: 15499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7487\/5 (b) -53\/5 (c) -3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + -134 + 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29135890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 13 + 15 = 0. Suppose -3*r = -2*j + 19, -4*j - 27 = 2*r - 41. Solve 0*h**3 + 1\/5*h**j - 1\/5*h + 2\/5*h**u + 0 - 2\/5*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10010?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = -5*q, -2*q = -5*v + 34. Let z be -10 + 9 - (-36)\/v. Solve 40 = z*j + 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i + 0*i)*(18 - 27 + 122).\nAnswer: 339*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 4*h - 391 = 0, -2*u - 35*h = -33*h + 14 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from fscsfscss?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 807793951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 8*k**2 - 58*k + 38. Calculate t(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -55707?\nAnswer: -55705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2\/3 (c) 661 (d) -15 (e) 3 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4499?\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*w - 60, 4*w + 5*s = 161 - 41. Suppose -4*q + w = q. Suppose -5*c + 114 - 14 = 0. Solve c = b - q*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, 6\/367, -4, -6, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.2691l to millilitres.\nAnswer: 738269.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4106262 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 448 + 427. Let u(s) = -r*s + 219*s - 130*s. Let q(w) = -w. Calculate q(u(j)).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -10)*3\/5*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014514716?\nAnswer: 2, 7, 214804097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1347 divide 3956139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 749099653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/30 - l**5\/4 + 21*l**2. Find the third derivative of y(u) wrt u.\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311725592 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5680*d + 10*d**2 + 1891*d + 1889*d + 1900*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5984518 and 0.10449544.\nAnswer: -0.49395636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*640\/448*(-1)\/6?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y\/((y**19*y)\/y*y)))\/(y*y**(2\/3)*y*y\/(y**(2\/33)*y)) assuming y is positive.\nAnswer: y**(343\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/9*237\/316.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-49)\/(-21) + -2)\/((-2)\/12). Sort q, 1\/2, 14.\nAnswer: q, 1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276300 at most as big as 277874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.268378175 and -150318.\nAnswer: -150319.268378175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1136 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (250 + 23)*(-6)\/7. Let y = f - -238. Calculate the smallest common multiple of y and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43239 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o. Let d be m(-5). Solve d*z = -4*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/7)\/((-55)\/(-770) - (-3)\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23404.\nAnswer: 2, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*u**2 - 7111*c**2*u - 8*c**2 - c*u**2 + 7*c*u + 656*c - 2*u**2 wrt c.\nAnswer: -6*u**2 - 14222*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 divided by -389?\nAnswer: -973\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 40*l**3 - 36*l**3 - 3*l**2 - 2*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*44\/660*(-18)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = s - 19, -18 = -2*s - 3*z + z. Suppose 10*o - s*o - 54 = 0. Solve -5*u - 36 = 4*d + 5, o = -d - u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 53 + 852 = -z + 5*c, 8*z + 198 = 5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*y - 23, -3*y = -5*x - 0*x - 25. Suppose 5 = y*v - 3*p, -5*p + 1 = -5*v + 6. Calculate the highest common divisor of 3 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 171\/33 - 6\/33. Suppose 0 = -j*a + 15, -5*f - a = -5*a - 388. Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -47*a - 844. Let z(r) = -35*r - 845. Calculate 3*w(t) - 4*z(t).\nAnswer: -t + 848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 368\/(-414)*(-6)\/(-16)*2. What is the closest to i in -2, -3\/4, -1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-2 + -6 + 8)) + -4 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 261*x**3 + 5*x**2 + 15*x + 114. Let n(l) = -261*l**3 - 4*l**2 - 12*l - 115. Let w = 356 + -352. Let q(m) = w*r(m) + 5*n(m). Differentiate q(f) wrt f.\nAnswer: -783*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/120 + g**5\/15 - 7*g**4\/24 - 7*g**3\/6 + g**2. Let j be n(-5). Suppose y = -j + 9. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2258*p + 1. Let w(b) = -7*b. What is w(n(q))?\nAnswer: 15806*q - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-1 + sqrt(325)) - (-2*(0 + sqrt(1053) + -2))**2.\nAnswer: -4226 + 159*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 188837\/(-20) - 1\/5. Let y = x - -9439. Find the common denominator of y and -5\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*o**2 - 19*o**2 + 24*o**2 + (2*o + 2*o - 5*o)*(3*o - 7*o + 3*o) + o**2 + 0*o**2 + o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.22435177 and 0.5?\nAnswer: 1.112175885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19399806.\nAnswer: 2, 3, 41, 97, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2*l**5\/15 - 48*l**2 + 63. Let t(z) be the second derivative of b(z). Let p(j) = -25*j. Determine t(p(d)).\nAnswer: 5000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2626861988475028 + -2626860102179897.9999921. Let m = p - 1886295211. Let k = 81 + m. What is k rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38828712467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and (-121317)\/(-50730) + -9 + 7 - (-22)\/(-55).\nAnswer: 33820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 27*p - 1628 = 0. Let t = p + 83. What is the remainder when 179 is divided by t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/5, -1, -0.7, 1\/12?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 + 0.17. Let r = -6.05 + g. What is the fourth biggest value in r, -7, 4\/9, 0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6969\/2 + -3483. What is the nearest to -0.1 in -10, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 475 in ascending order.\nAnswer: -2, 6, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1887228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38.2 + -88.3. Let m = -0.2 + -55.8. Let i = o - m. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-8\/3))*o*o\/(o\/((o\/(o\/(o**(-4)\/o*o)))\/o)))\/(o**(-3)\/o)**(-2\/27))**(-6\/5) assuming o is positive.\nAnswer: o**(376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 13*i**2 + 6 - i - 7 as k + r*i + n*i**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-4\/3)*o)**(9\/2))**8)**(-12) assuming o is positive.\nAnswer: o**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 4, b: 1, s: 1, o: 1, i: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(24\/5))\/b)\/b**2)**(-2\/45) assuming b is positive.\nAnswer: b**(-28\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.55 - -70. Let m = 0.476 - r. What is m rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 8. Let w be s(6). Let c = 0 + w. Calculate the highest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 4*p + 3. Let u be v(-6). Let h = u + -27. Calculate the remainder when 70 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 4*a - 14 = 6*a, 5*p - 4*a + 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**2\/2 + 3*j\/4 = 0.\nAnswer: 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -144 + 127 - (2 - (6 + (0 - -2)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755930 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 347152244406.\nAnswer: 347152244406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c3 + -10?\nAnswer: 3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 - 1. Solve 3*k - 5*k - m = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3 + 5*n**3 - 2*n**3 + 2*n + 0*n**2 - 2*n**3 - 2*n**2. Let c be k(2). Put c, -2, 3 in ascending order.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1660 + -387. List the prime factors of y.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bbda (base 16) in base 2?\nAnswer: -1111011101111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/61 + -108\/427. Let s = 449\/1401 + 6\/467. Which is the closest to s? (a) -6 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -1\/9, 3, 2, -1, 2268?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17157, -34233, -51309?\nAnswer: -68385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Suppose -4 = -4*c - 2*d, -3*d - 16 = -5*c - 0. Let f(i) = -8*i**c + 5387 - 5387. Calculate m(f(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3552398241 from -0.5.\nAnswer: 3552398240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-15)\/8 - 6\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 + (-4 - -2 - -21) + -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-4\/3)\/f))\/f)\/f*f\/(f*f**(2\/15)\/f))\/(f**5\/f**(-1\/3))*(f*f**(-1\/3)*(f\/(f*f**(-1\/3)*f*f))\/f)\/(f**(-6)\/(f\/f**6)) assuming f is positive.\nAnswer: f**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 90. Let n be ((-4)\/(-6))\/(4\/f). Solve 7*g - n*g = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8462095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**4 + 9*f**3 - 2*f + 149?\nAnswer: -84*f**2 + 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398087219.\nAnswer: 59, 6747241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 23 - f - 3*f + 26 + 4*f. Let n(m) = -2*m - 2. Calculate -5*n(o) - 3*x(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212111 - -101121?\nAnswer: -1110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:31 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 3213239*h - 6426477\/2.\nAnswer: -(h - 6426477)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 580*v - 583*v + 57, 2*t + 3*v = -0*v + 43 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15495869?\nAnswer: 15495869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3041*s = 3040*s - 10, 3*s = -3 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 30. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3963 and -23\/2.\nAnswer: 7926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c - 4. Let z(x) = -x**2 - 1. What is -n(r) + 4*z(r)?\nAnswer: -3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1 - -1 - 4) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (0 + sqrt(128)))*-3*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {u: 1, f: 1, h: 1, q: 1, n: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a + x + x, 3*a + 4*x + 11 = 0. Let w = 11 - 18. List the prime factors of 0 + a - (w + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 1 - 76. Let p = 12 - f. Let c be (4 + -3)\/(1\/p). Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17257790, 34515579, 51773368?\nAnswer: 69031157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62020 and 980?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 + 12*o - 4. Let z be 0\/((3 - 1)*1). Let m(w) = z*w**2 - 11*w + 5*w**3 + 26 - w**2 - 22. Let r(q) = 4*a(q) + 5*m(q). What is r(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -0.6, 4\/3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -62, 20, -1, 2 in descending order.\nAnswer: 20, 2, 0, -1, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1230? (a) 2 (b) 2\/19 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164271911?\nAnswer: 23, 43, 166099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154529? (a) -0.1 (b) 0.2 (c) 3\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(((h**(-1)*h)\/h)\/h)*h*h)\/((h**(-3\/2)*h)\/h*h))\/((h**5\/h)\/(h\/h**(-2\/13))))**(-42) assuming h is positive.\nAnswer: h**(-1995\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42246 and 1.062768.\nAnswer: 42247.062768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 3*s**2\/2 + 9*s + 1. Let q = 928 - 921. Determine v(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11391 - 45119*f**2 + 11391 + 45118*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.18, -49\/2, -2\/11?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*88\/4*(-80)\/640?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 37*w**3 - 3738*w**2 + 96*w + 507. What is a(101)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**5 + l**4 + l**2 + l + 1. Let p(j) = -14*j**2 + j**3 + 6*j**4 + 21 - 12*j - 5*j**3 - 23. Let g(h) = -2*c(h) + p(h). Solve g(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7458 and 55836?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047 - 2166 = -459*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 15 = 6*h - h, -4*d = h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a factor of 1144539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652.66045 rounded to the nearest integer?\nAnswer: 7653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 510 - 508. Solve -2*t + j = 2*o - 3*o, 5*o + 5 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.8 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41986 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4972 divided by 452\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 19.8. Let p = s + 1.8. What is the fourth smallest value in 1\/6, 5, -1\/3, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 - (37 - 19))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202156 = -44*c + 679996. Is c\/(-120)*44\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:30 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 0.4455932\nAnswer: -0.3855932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z**6*z)\/z*((z*z*z*(z*z\/(z\/z**(2\/3)))\/z*z*z)\/z*z*z)\/z*(z*z**(1\/3))\/(z\/z**0) assuming z is positive.\nAnswer: z**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -813, -3216, -7201, -12768, -19917, -28648?\nAnswer: -38961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02267, -20\/11, 0.8.\nAnswer: -20\/11, -0.02267, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331363?\nAnswer: 11, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + 7. Let y = h - 27.99903. Round y to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 1.6. Let z = -507 + 507.249. Let h = z + 3.751. Which is the fourth biggest value? (a) g (b) 0.4 (c) 0.3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*c**2 + 6*c - 5*c + 0*c.\nAnswer: 843*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 48*n + 248, -3*b - 4*n + 319 - 351 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f - 1. Let i(c) = -2*c - 1. Let k(l) = -i(l) + r(l). Let t(z) = -z**2. Give t(k(q)).\nAnswer: -361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227.86864747 + -1.13133233. Let h = a + 229. Round h to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/11 + 2*v**2\/11 + 2*v\/11 - 2\/11.\nAnswer: -2*(v - 1)**2*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 9*q**3 - 18 + (-4 + 2 + 0)*(-56 + 161*q**3 + 56).\nAnswer: -313*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8976*a. Let y(u) = 22*u. Determine j(y(c)).\nAnswer: 197472*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -41. Suppose o*r = -2*k + 2400, 4*r - 5*r = -5*k - 453. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49490 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 0*k**2 + 69*k**2. Let t(r) = 56*r + 56*r - 41*r - 125*r + 56*r. Calculate s(t(i)).\nAnswer: 268*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 100416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 196\/4929 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2 + 0 + 0*f + f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -394551, 5 in descending order.\nAnswer: 5, -117, -394551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:34 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.486 - 109.6743.\nAnswer: -66.1883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*i**4 - 167*i**4 - 138*i**4 + (-2*i - 16*i + 5*i)*(i**3 - 2*i**3 + 3*i**3).\nAnswer: -374*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*y - 2660 = -1897 - 9364 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 32*k**3 + 55*k**2 + k - 8. Determine q(-3).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and -40\/2691.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2\/(-2) + 5. Suppose x - 4*j = -c - 7, 4*j - 10 = 2*x. Let f be (6\/4)\/(15\/(-12) - -2). Solve -x*k + 23 = -4*d, -k = 4*d + 21 - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 327*p**3 - 96*p**3 - 131*p**3 + 4 - 3*p**3 - 4 + (-2*p**2 - 2*p**2 + 6*p**2)*(-2*p + 4*p - 4*p) + 6*p**3 - 4*p**3 - p**3.\nAnswer: 94*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 32 = -u. Suppose -z = u*z. Is z at most as big as -3\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 38 (b) 1\/3 (c) 2 (d) 0.3379 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 7*f + 7. Let x be r(-4). Suppose x*m - 42 = -3*m. What is the greatest common factor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -134, -537, -1206, -2141, -3342, -4809, -6542?\n\"Answer: -133*t**2 - 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 5*c**7\/21 + 17*c**6\/60 - 9*c**5\/8 + c**4\/6 + c**3\/3 - 7*c. Solve b(x) = 0 for x.\nAnswer: -2, -1\/4, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.04. Let r = 21 + -24. What is the biggest value in g, -2\/5, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*75\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let s(a) be the second derivative of -a**4\/12 + 3*a. Calculate f(s(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)*b*b**(2\/25)*b*(b**(-2\/3)\/b)**(-12\/11) assuming b is positive.\nAnswer: b**(6157\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -2, -9.\nAnswer: -9, -2, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a - 10. Let s = 4 + a. Let u = 4 + 0. Solve -2*z = 4*i - i - 18, u*z - s*i - 4 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*m - 18 = 0, -5*i = 27*m - 23*m - 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2164, -8613, -19266, -34045, -52872, -75669?\nAnswer: -102358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 13022?\nAnswer: -13010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -1)\/(2 + -1). Let b = 4 - y. Put b, 3, -2 in decreasing order.\nAnswer: 3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 145344*x\/7 + 2640609792\/7.\nAnswer: 2*(x + 36336)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 362814 and 30.\nAnswer: 1814070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - (18381729\/837)\/(-239).\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2944*v**2 - 215089 wrt v?\nAnswer: -5888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 20*g + 69)*(g**2 - 2*g**2 - g**2) - g**3 + 4*g**3 - 2*g**3 - 2*g**3 - 3*g**3 + 3*g**3 + (3*g - 5 + 5)*(6*g**2 + 7*g**2 - 4*g**2).\nAnswer: 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let i = 1.74 + -0.14. Let z = k + i. Which is the biggest value? (a) z (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 2*c**2 + 2*c**2 + 4*c**4 + 0*c**4 - 2*c**4 + (4*c**2 - 3*c**2 + c**2)*(-2*c**2 + 3*c**2 - 3*c**2) + 0*c**3 + 3*c**4 + 0*c**3)*(0 + 3 - 2).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666992 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -89 (base 13) to base 5\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5691 by 271.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:42 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 155.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330*t + 1270*t + 43847 + 582373 = 6760*t for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n)*((1 - 1 - 1)*(3 - 3 + 6) + 0 - 4 + 6).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.84 - 0.84. Which is the closest to -3? (a) f (b) -2\/17 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r = -2*r - 17*r. Sort 3, -7, r, 5, -2 in increasing order.\nAnswer: -7, -2, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -49, 2\/93, -1, -8\/5 in decreasing order.\nAnswer: 2\/93, -5\/6, -1, -8\/5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 20*k**2 - 16*k + 22. What is d(-8)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 2*u**2 - 9*u + 2. Let b be o(-4). Let j(n) be the first derivative of 0*n**5 + 1 - 1\/3*n**b + 0*n + 0*n**3 + n**4 - n**2. Factor j(m).\nAnswer: -2*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 0*c - 4 + 2\/3*c**3 + 1\/2*c**2. Let u(j) = 10*j**2 + 4*j. What is -14*m(k) + 3*u(k)?\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 283, 413, 543?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -12. Let v = -405 + 1216\/3. Which is the closest to s? (a) -3\/4 (b) 2\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let r(h) = 1198*h + 5 - 3 + 0 - 2. Give y(r(i)).\nAnswer: -2870408*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19581677?\nAnswer: 31, 631667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - -7.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59835*i**4 - 739*i**2 + 6380060*i?\nAnswer: -718020*i**2 - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658342 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u**3 - 9*u**2 + 27*u - 63. Does 110 divide q(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25733918.\nAnswer: 2, 7, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 37 + 3 - 445*h - 183*h + 27 to the form k + f*h and give f.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -54.3. Let r = -1\/778 - 1505\/39678. Which is the closest to 0.1? (a) r (b) s (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -5. Let y = 9 + g. Sort 1\/2, 2, y in increasing order.\nAnswer: y, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380 - 540 = 192*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176042 = 336*l - 392*l + 704122. List the prime factors of l.\nAnswer: 2, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 273, 261, 225, 153, 33, -147, -399?\n\"Answer: -2*j**3 + 2*j + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 592519000 to the nearest 1000000.\nAnswer: 593000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 - 8\/2) + 6 - -87 and 11?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/13*(-404 - 77)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543507\/63 - 27\/243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2175, 4183, 6191, 8199, 10207?\n\"Answer: 2008*r + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {j: 6, a: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2089861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 2*v - 3. Let h be z(2). Suppose 6*k - h*k - 1718 = 0. Let t = k + -1017. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7531232.\nAnswer: 2, 59, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11232101 (base 7) to base 10\nAnswer: 982745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5636 = -572. Suppose -z - 1224 = -4*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 x when three letters picked without replacement from cxoeqxoqqoej?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 + l. Let d be u(2). Suppose -d*o = -0*o - 116. Suppose 5*f - o = 47. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8012*t**3 - 3577*t**3 - 2790*t**3.\nAnswer: 1645*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 67350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5611212*l**4 - 88232*l + 32 wrt l?\nAnswer: 67334544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 1 (c) -0.971 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3384175 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*120\/(-2380)*(-119)\/(-85).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168, -677, -1524, -2715, -4256, -6153, -8412?\n\"Answer: -d**3 - 163*d**2 - 13*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 12*j**2 + 34*j + 68. Give r(-12).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6)*-1)\/(3\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 77 - (2 + 0)\/(-2). Let v = 80 - h. Factor -2\/9*f**3 - 2\/9*f + 0 + 4\/9*f**v.\nAnswer: -2*f*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/136 and 43\/17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**2 - 6*h + 4. Let r(m) = 2*m. Determine p(r(s)).\nAnswer: -32*s**2 - 12*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 take away 2362.855839?\nAnswer: -2152.855839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*k - 211 = -184*k + 129. Solve -4*l + 20 = 0, 3*l + k = -5*u + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + y + y)*(135 - 56 - 149) + y - 2*y + 0*y)*((-2 - 3 + 3)*(3 + 0 - 1) + (1 - 3 + 0)*(-2 + 2 + 1)).\nAnswer: -414*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/17, -4, 10780, -0.2, 40 in decreasing order.\nAnswer: 10780, 40, 2\/17, 0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.34 - -1.64. Let j = -35 - -35.13. Let l = j - 1.13. Put t, l, -0.4 in ascending order.\nAnswer: l, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.3. Let m = -49983\/47447 - 15\/2791. Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 10. Let f = 16 + -17. Let h(x) = -x + 1. Let b(v) = f*s(v) - 8*h(v). What are the prime factors of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3783 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 l when four letters picked without replacement from lllllelleellelle.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/7 - 6085232*h\/7 - 24340896\/7 = 0.\nAnswer: -3042612, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m + 3. Let t be g(-8). Suppose 2*z = -z + k + t, -102 = -4*z + 2*k. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 - 16544031.6955?\nAnswer: -16544031.7145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c)\/((c**(-4\/3)\/c*c)\/c)*(c**5*c)\/c**3*((c**(-4)*c)\/c**5)**4 assuming c is positive.\nAnswer: c**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -9 - (16 + -9 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (94 - 60)\/(9\/3*2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2947*b - 2986*b + 52611 = 0. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/626 and 5\/6?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3770 and 10070540?\nAnswer: 130917020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 31*o**5\/2 + 1579*o**4\/6 + 1099*o**3\/3 - 9494*o**2 - 33276*o + 720 = 0.\nAnswer: -12, -6, -5, 2\/93, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512)*1*1)\/(sqrt(48)\/(-1*sqrt(72) + sqrt(8))))**2*5.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 2*x + 0*x)*(-1 + 5 - 5)*(-10*x - 2*x + 28*x) to the form m*x + z*x**2 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16*(-5)\/200))\/((-2)\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sum 20661 and 52097041304.\nAnswer: 52097061965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142340133 (base 5) to base 16.\nAnswer: b6335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381549703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9040 in -19, 2, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7575 + 8032. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqqeqqqnqnncqc. What is prob of picking 1 q and 3 n?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 1477, 3441, 6181, 9697, 13989?\nAnswer: 19057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189597580 is divided by 3391.\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3852198 divided by -10191.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026023 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 + -0.7. Let q = -4 + 4.1. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1*3795\/(-5688) - 4\/(-6)). What is the highest common divisor of c and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/16 and 123\/40910?\nAnswer: 327280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1212.619537 - 97.\nAnswer: -1309.619537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 349702683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 x when three letters picked without replacement from kcvxtjt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444 divided by -118513?\nAnswer: -2444\/118513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551 - -555. Suppose 0 = -17*j - f*j + 106827. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30\/39923 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*o + 482*o - 245*o + 2.\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**1*(z\/(z*z**(-2\/5)))\/z*z**2\/(z*z**(-8)) assuming z is positive.\nAnswer: z**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 9. Let a be l(4). Let x be (-1)\/5 + 31\/a. Suppose -2*p - 40 = -x*p. Calculate the remainder when 17 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, b: 2}. What is prob of picking 2 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 4*m + 21. Let p be d(0). Suppose p*g - 4 = 19*g. Which is bigger: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87261932+-0.1\nAnswer: 87261931.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 3. Let b be f(-3). Solve b*p = -3*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in -27, 0, 1403?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 269.4842 millilitres?\nAnswer: 0.2694842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1. Let w(m) = 4*m + 6. Let i(d) = 9*d + 13. Let n(b) = 2*i(b) - 5*w(b). Give -2*l(h) + n(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34056.6 months?\nAnswer: 283.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - ((-6)\/(5 + -3) + 4). Let i(t) = -4*t**3 + 10*t**2 - 12*t - 6. Let d(l) = l**3 + 1. Let y(v) = u*d(v) - i(v). Factor y(g).\nAnswer: -2*g*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.5 (c) 7 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 7)*(-1 - 0). Let h = 1273\/8 + -159. What is the smallest value in 0.1, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -6, -83758 in decreasing order.\nAnswer: 14, 5, -6, -83758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1785*s**4 + 28557*s**3\/4 + 7137*s**2 - 3*s.\nAnswer: 3*s*(s + 2)**2*(2380*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 29*a - 60. Determine y(34).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*(-2)\/4. Solve 0 = 5*n - t + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5285 - -5287. Solve 0 = -u*q - 3*s - 2*s + 9, -4*s = -3*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.2 (b) 1\/9 (c) -708 (d) -88 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -507 - -506. Sort -0.1, -9, v, -0.2.\nAnswer: -9, v, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*m - 390*m - 2850*m + 1116*m - 1795*m to u + d*m and give d.\nAnswer: -3993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089553140?\nAnswer: 2, 3, 5, 53, 59, 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2814*w - 153*w + 1457*w.\nAnswer: 4118*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than 11282.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005335 to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 25. Let u be y(0). Let g(d) = 2*d**2 + 0 - d**3 + 1 - 4 - 23*d + u*d. Let f = 10 - 7. Determine g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -86 (b) -2 (c) -0.4 (d) 18 (e) -0.1 (f) -5 (g) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 6*r - 7*r)*(-2 - 3*r + 2)*(-r + 0*r + 2*r).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20220 and -1383.9897.\nAnswer: 18836.0103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(12\/4). Suppose -i = -2*y - d*y - 12, -y = 2*i + 1. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147891941 + 87688418. Let d = 60203522.05000077 + l. Let h = d + 0.95. What is h rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689439 <= 0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 3. Let s be 18\/15 + (-4)\/n. What is the biggest value in 4\/3, s, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 13*g**2 + 15*g + 16. Let q be a(-14). Solve 4 = q*k - 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1416525 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112022101 - 110?\nAnswer: -112022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75809537 rounded to four decimal places?\nAnswer: 0.7581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058817663 to seven dps.\nAnswer: 0.0005882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 163*p. Let m(s) = -5*s**2. Calculate m(g(y)).\nAnswer: -132845*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2441*d**4 + 11321 with respect to d.\nAnswer: 9764*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 22*s + 3977. Is 41 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 3*o + 5. Calculate q(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 772 in -0.4, -4, -1\/5, -3\/2, -8, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 8*t + 5. Let k be j(-8). Let n(v) = -7*v + 2. Let s(z) = 4*z - 1. Let u(g) = -3*n(g) - 5*s(g). Calculate u(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 12*t - 12. Let j be 1 + 3\/(-7) + 1. Is t <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 38*q**2 - 27*q - 48. Is y(18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - t - 171 = 0, -g + 5*t + 532 = 487. Solve -g*k + 168 = -69*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -169, -172, -177, -184, -193?\n\"Answer: -m**2 - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*c**3 + 602*c**3 - 5*c - 226*c**3 + 1715*c**3.\nAnswer: 2200*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + k = -2*k - 27, 0 = -5*z - 3*k. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*b = -5916, 3*l = 5*l - 4*b + 2376. Let w be (-10)\/(-8) - 2 - l\/8. Calculate the greatest common factor of w and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 4*h**2 + 10*h + 26. Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -21 + 2\/(2\/(-25)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - 462\/5. Let h = -2865 + 2862. Sort s, h, -5, 0 in descending order.\nAnswer: 0, s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207498.71 to the nearest 100.\nAnswer: 207500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 0, -3*b - 2*d = -5*d - 372. Calculate the lowest common multiple of 16 and b.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 3375?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**3 - 7 - 28*p**3 + 324*p - 322*p as v + n*p**3 + s*p**2 + o*p and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5588 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let w(y) = 336*y. Calculate w(u(q)).\nAnswer: 1344*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 39.05. Let k = -1 + 0.95. Let z = d + k. What is the second smallest value in -2\/5, -0.3, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2557 or -2548?\nAnswer: -2557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:54 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29614, -118515, -266700, -474169, -740922, -1066959?\n\"Answer: -29642*c**2 + 25*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from xknnss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -205317832+-1.655\nAnswer: -205317833.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242938239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8084 = 78*i + 47*i - 1166. Solve -h + 5 = -72*o + i*o, -3*h + 5*o + 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/6)\/((-4)\/(-480)). Suppose -20*y + m = -15*y. What is the greatest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/45 + 3 - 3. Suppose 6 - 1 = -5*d. Is z at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/225 + (-8)\/(-100). Factor 0 - 2\/15*h**2 + o*h.\nAnswer: -2*h*(h - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201735819*x**3 + 192945921*x?\nAnswer: 1210414914*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14712 (base 8) to base 15\nAnswer: -1e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 90\/6*(((-1296)\/60)\/18)\/(-8)*4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204342122 (base 5) in base 3?\nAnswer: 1121111002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -43*w - 10. Let i be c(-7). Let k = -417 + i. What is k rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.335 - 57.4. Let f = -0.065 - w. What is the biggest value in f, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 - 16\/(-42). Let q = -5522 + 5517. Which is the nearest to 0? (a) -1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - 0\/(-17). Let p(z) = z**3 - 5*z**2 + 2*z - 3. Let f be p(4). Sort -5, f, i in descending order.\nAnswer: i, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 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: Let f be 8\/(-3)*6\/(-4). Suppose -f = -4*m - 0. Differentiate -2*o**2 - m - o + o with respect to o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from zswssssssssssssswwss?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1524239?\nAnswer: 1524244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) 1\/8 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 15 = -9*u. Suppose -u*w = 20, x = 2*x + 2*w + 11. Which is the second biggest value? (a) 0.5 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 914.80491 to zero dps.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -723, -1080?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -7\/33958 (c) 4 (d) 6 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5\/17 (b) -1 (c) -0.2 (d) -2\/7 (e) 33\/14 (f) 0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18d2 (base 14) to base 11\nAnswer: -3418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa5b5 + -2?\nAnswer: aa5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -1 = -n + x + 4, 5*n = s*x + 10. Suppose n = -j + 2 + 4. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96576 and 18108?\nAnswer: 289728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*t - 0*k - 1, 3*t + 2*k = 0. Let z = 1 + 1. Suppose 17 = 3*o + z. What is the remainder when o is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 86*g - 99. What is i(42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -419831, -839642, -1259445, -1679240, -2099027?\n\"Answer: 4*u**2 - 419823*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 16992*b + 33985\/2.\nAnswer: -(b - 1)*(b + 33985)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 269 = 4*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - 8*b**4 - 113*b + 114*b - 3*b**4 - 2*b**2 to o*b**2 + a + j*b + t*b**3 + u*b**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 4*d**2 + 4. Let l be y(3). Suppose -2*s + 3*p - 14 = 0, -s + 4*p - 5 = -3. Let c = s - l. What is the nearest to 0.1 in c, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.031 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:05 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-40) - (-12)\/(-5). What are the prime factors of 14*(25\/a)\/(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19898*t. Let u(k) = 6*k. Determine v(u(g)).\nAnswer: -119388*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 680971*t**2 + 746837 wrt t?\nAnswer: 1361942*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -821022 divided by 2.\nAnswer: -410511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v + 300*v = 5400 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3048 - 736. Let y = -9149\/4 + s. Let t = 11226 + -112361\/10. Find the common denominator of y and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 159*o - 4432 = -156*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurqmmuuumrbumu. Give prob of picking 1 u and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13245 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 1\/4, 256 in increasing order.\nAnswer: -4, 2\/11, 1\/4, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -3\/7*h**2 - 10\/21*h**3 + 18*h - 3\/35*h**5 + 0 - 1\/105*h**6 - 2\/7*h**4. Suppose c(n) = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 15*o + 9 + 9)*(-5 - 2 + 0) + 0*o + o + 0*o.\nAnswer: -104*o + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o*o**(-6))\/(o**(-2\/7)*o)**(-13\/4) assuming o is positive.\nAnswer: o**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o. Sort 4, -2, o.\nAnswer: -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919355 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244944.\nAnswer: 2, 13, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -3*r, -23 = n - 20. Let x(k) = 41*k**3 - k**2 - 3*k - 2. Give x(r).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-4 - ((-1 - (4 + 3)) + 0))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 52*y + 513. List the prime factors of w(52).\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/70)\/(82\/(-205))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, -87, -486, -1341, -2826, -5115, -8382?\n\"Answer: -29*t**3 + 33*t**2 - 13*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -674035 (base 9) to base 5\nAnswer: -100400134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115655 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.041 and 2993153160.\nAnswer: 2993153159.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264527\/3118 or -86?\nAnswer: -264527\/3118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14033201 (base 5) in base 2?\nAnswer: 100010111001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439\/10 - 87\/2. Let c = 201\/682 + -7\/62. What is the smallest value in 0.2, c, b, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 15, g: 5}. Give prob of picking 3 z and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 125*a - 2483 = 5072 - 1027 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10344235 + -3?\nAnswer: -10344240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -7. Let i = a + -6. Let q = 5 - i. What is the third biggest value in q, -3\/2, -2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuyuuyuuyyuuuyuu. What is prob of picking 1 u and 2 y?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7 + 13*(7 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -28. Let t(z) = -z**2 + 9*z - 5. Calculate t(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {d: 2, l: 2, r: 1, t: 1, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3306 + -3298. Solve 13*r + 13 = f*r - 4*p, 3 = r - 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 514135 and 410?\nAnswer: 42159070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 - 5*b**2 + 7*b + 3. Suppose 42 + 6 = -16*r. Let p(v) = 2*v**3 + 3*v**2 - 4*v - 2. What is r*c(g) - 5*p(g)?\nAnswer: -g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -17, -42, -77?\n\"Answer: -5*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -120. Let k = 2360 - 2318. What is the remainder when l is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -24\/5 (b) 2\/13 (c) 0 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 255 = -1357. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/4, 15, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 844957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 - 5*l. Let v be h(-6). Let z be (-4)\/18 + v\/(-27). Suppose z = -0*p - p + 47. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 + 42*d**2 - 235*d + 1670. Determine r(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 10294, 2 in increasing order.\nAnswer: -3, 2, 4, 5, 10294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 - 3*r - 2. Suppose 10 + 5 = 3*m. Suppose z - m*t - 18 = -2*z, -3*t - 35 = -4*z. Calculate the remainder when z is divided by f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 7. Suppose 71 = -j*q - 116. Let g(s) = s + 19. Let r be g(q). Solve 0 = -3*m, -4*m - 2 = -r*z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-12 + 3) - (3 + 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5*p - 3*d**3 + d**2*p - 15*d*p wrt d.\nAnswer: -20*d**3*p - 18*d + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = 2*a, 4*o + 12*a - 16 = 7*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2\/5 - 68576*o\/5 + 293916736\/5 = 0.\nAnswer: 8572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g - 3*g**4 + 2*g**4 - 10*g**5 + g**4 wrt g?\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*l - 37, -4*l + 1 = d - 4*d. Find the third derivative of -30*n**6 - 3 - 10*n**d - 79*n**5 + 64*n**6 - 33*n**6 - 35*n**2 wrt n.\nAnswer: 120*n**3 - 5340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -67\/12, -0.5, 0.07, -0.06, 2\/5, 0.1?\nAnswer: -67\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1940 and 9312.\nAnswer: 46560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -4\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1679 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -16*y + 59 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -86*j + 54*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(143) + -2*sqrt(143))*6*3)\/(sqrt(88)\/(sqrt(128) - sqrt(8)) + sqrt(176)*-1))**2.\nAnswer: 1364688\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -194775 divided by -1225\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 4*q**2 + 0*q + 8*q - 3. Let t be u(-6). Let v(y) = -y**3 - 4*y**2 + 2*y + 3. Let s be v(-5). Solve -2*i + s = 2*x, 5*x + i = 2*i + t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520675 (base 8) in base 16?\nAnswer: 6a1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66887 is divided by 6589.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzdd. Give prob of sequence zz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473286905.\nAnswer: 5, 17, 19, 1531447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2, -45 = 7*x - 3*x + 5*w. Let m(b) = -b - 9. Let z be m(x). Sort -4, 5, z, 2 in decreasing order.\nAnswer: 5, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -23*x + 23598. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/288 and -69\/256.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489518499 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 4*n - 15\/4.\nAnswer: -(n + 1)*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6*j + 15 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 4*x + 136 - 4*x + 15*x**2 - 131 as z*x**2 + y + v*x and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 6 = -8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241.2 - 241.1. What is the nearest to s in -1, 4, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3 - s - 7 + 5. Let c be g(2). Let u(x) = -x. Let w(r) = -2*r. Let l(n) = -13*u(n) + 6*w(n). Let j(k) = k**3 + 6*k. Calculate c*j(b) + 6*l(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 25, 0.14, -0.6?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 11*d**2\/3 + 5*d + 9.\nAnswer: (d - 9)*(d - 3)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301880773?\nAnswer: 23, 13125251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90268 divided by -2.\nAnswer: -45134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.22 and 0.07.\nAnswer: -0.6454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195 divided by 839?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94391.07 centuries to millennia.\nAnswer: 9439.107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/3 + (-1)\/(-3). Let c be (-21)\/(-3) - (4 + -1). Suppose -3*z + 48 = 4*o, -3 + 19 = -c*z. Solve 2*i - 3*d - 15 = 0, 0*i - m*i = -d - o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Let h be -10*(k - 6)\/(-1 + 5). Solve 6*t = h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -61164?\nAnswer: -1\/61164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 280029 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 3 - ((-15 - 3 - -2) + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8319 is divided by 4144.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 447 + 439 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*i - 7 = 13, -2*i = -3*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1567 - -2337. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95*4 + (4 - 1 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11139 and 3713?\nAnswer: 11139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 68 + (-2 - 2) + -22\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1897536587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -3452.\nAnswer: 16\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*z - 5*o + 32, 0 = 2*z - o - 4. Suppose z*t - 8 = k, 0*t + 10 = 2*k + 5*t. Solve 2*f + k + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 3625828*o + 21755004 = 0. What is o?\nAnswer: -3625834, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4861.\nAnswer: 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -32109350 divided by -35\nAnswer: 917410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -7302545\nAnswer: 2190763.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 116*u - 121*u + 37, 2*j - 6*u + 38 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - 41. Is s at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -771498 and 4?\nAnswer: -3085992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -793 (c) 1091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1230 - -1229. Which is the closest to -3.4? (a) g (b) 3\/8 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 48*y**2 - 536*y - 50. Let i be j(12). Solve -12*d + 370 = i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1503, -3, 1, -2, 5, 31 in ascending order.\nAnswer: -1503, -3, -2, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from hkebhhkqqkhffqf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 13*m**2 + m + 18. Let h be k(-13). Suppose -9 - 11 = -h*a. What is the derivative of 7 - 6*j - a - 4 - 3*j wrt j?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + -4.5. Let c be ((-6)\/(-4)*2 - 2)*2. Let f be 2*(-210)\/(-102) - (2 + c). Put f, q, -2 in decreasing order.\nAnswer: f, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26243 and 5.\nAnswer: -26238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2\/9381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 1 = 0. Let a(f) = -d - 2 + f - 3 + 1. Let m be a(7). Sort 5, m, -5 in descending order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75553880 is divided by 18888468.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 347776 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 10 (c) -1\/3 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 4*i**4 + i**3\/3 - 157*i**2\/2 - 369. What is the second derivative of l(s) wrt s?\nAnswer: 96*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5121.8258 + -5121. Round a to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(11\/((-33)\/39))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p - 96 = 0. Let o = -7 - p. Let s = o + 276. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (59 + -54 - (-1 - -9)) - (-2 + 10).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -8. Let k = -0.1 - y. Let u = k - 0.9. Are 2\/7 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -3, 7164309 in ascending order.\nAnswer: -3, 3, 7, 7164309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -37. Suppose 3*x - f = 21. Let c be (x\/4 - 2)\/((-2)\/(-12)). Solve 2 = -b + c*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*z - 13 = 45, -3*i + 53 = 5*z. Let x(a) = 11*a + 6*a - a**2 + 12*a + 54 - a**3 + i*a**2. Is x(26) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 1}. What is prob of picking 3 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:12 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 12*m**2 + 33*m + 6. Let p be z(10). Let d = p + -126. What is the least common multiple of 4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 2*n - 8. Let p be b(-3). Let o be p\/(-1) + 4 - -4. Solve -o*k + 12 = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1622545 + -1.\nAnswer: -1622546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73562?\nAnswer: 2, 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n, 23 = 5*w + 3*n - 0. Suppose l - 173 = 5*o + 71, -2*l + 518 = -w*o. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110100111?\nAnswer: -110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753 = 3*f + s, -2*s - 488 = -2*f + 2*s. Suppose -42 - 6 = -4*a - 5*c, -36 = -3*a + 3*c. Calculate the remainder when f is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from {k: 1, m: 1, p: 2, i: 2, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose 3*q + 25 = -j - 0*j, -p*q = -2*j + 14. Let g(y) = y + 18. What are the prime factors of g(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:58 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**3\/2 - 3*x**2 + 6*x. Give f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/17105340 and -13\/4.\nAnswer: 17105340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-3)))\/(h\/(h*h**1*h)))**(11\/4)*((h*(((h**1*h)\/h)\/h)\/h)**(8\/5))**(1\/41) assuming h is positive.\nAnswer: h**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from spppspssppps.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17766 + -8481. List the prime factors of f.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2895187 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000563865338 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 9. Let n be g(0). Let s = 9 + n. Solve -2*h + s*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -1\/4, 0.2, 1716, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 64*z - 293. Let n be r(5). Factor 0*w - 1\/3*w**n + 4\/3.\nAnswer: -(w - 2)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -2*n - k*h + 49 = 0, n = 6*n + 4*h - 80. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = 21. Let r = -6 + g. Solve 3*t = 5*b + r, 2*b = -2*b + 4*t - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03430152 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1280*r**3 - 2*r**2 - 3*r + 15. Let t(x) = 1281*x**3 - 3*x**2 - 4*x + 20. Calculate 4*g(y) - 3*t(y).\nAnswer: 1277*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttttfft.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 - -189 - (-1 + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = 2*m - 77, -4*m = 0. Let u = 82 - n. Suppose u*g = -i + 38, 17 = i - 3*g - 21. Calculate the remainder when 74 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9644654 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) - 91\/(-26). Suppose 0*w = v*w - 12. Let q(o) = o**2 - o - 1. Let j be q(0). Put w, j, 1 in increasing order.\nAnswer: j, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9035*n**3 + 2*n**2 - 817*n.\nAnswer: -54210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(42\/(-7) + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-14))\/((-20)\/(-275)*-20)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 20*q - 184 = 368. Solve -2*w + 4*o + 10 = 0, -3*w + 37*o + q = 34*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19304 by 9652.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*310 + (-45)\/(-9). What is the highest common factor of p and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = 4*w + 584. Let x = 112\/2841 - -913037\/4735. Let i = x + w. Which is the biggest value? (a) i (b) 0.4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1100\/925)\/(4\/74)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*p + 31. Let g(l) = -4*l + 4. Let z be g(p). Let i(u) = u**3 + u**2 - 2*u + 78. What is the tens digit of i(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 2, v: 3, a: 4, x: 7}. What is prob of sequence ei?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (-24 - -86) - (1 - 0 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 117*k + 28*k - 145*k + 0*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 3 (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 2*p**3 - 7*p - 17*p**2 + 0*p**4 + 9*p**4 + 18*p**2 as c*p + l*p**2 + k*p**4 + g*p**3 + x and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912 = -28*z - 380 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(175\/(-20))*30\/120?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 56. Let b = f + -31. Suppose 0*z - b*z = -8. Solve z*j + 9 = a, 3*j = 4*a + a - 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(64) - 1*sqrt(64)*-2)\/((sqrt(128)*-1 - sqrt(128))*3*5) + 1.\nAnswer: -sqrt(2)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1202*l + 4315. Give p(-1).\nAnswer: 3113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -1. Let y = 0 - z. Let k = 0.0055 - -0.0145. What is the nearest to 0 in -0.3, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let f(p) = p + 3. Let v(q) = 3*q + 8. Let r(y) = n*v(y) - 8*f(y). Let g(s) = 4*s - 1. Calculate -g(d) + 5*r(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1\/8, 91\/571 in decreasing order.\nAnswer: 91\/571, 1\/8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-78)*(14 - -1)*(-3504)\/5 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r, -d - 3*r - r = -2860. Suppose 2*s - 11*s + d = 0. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.52 + 0.08. Let v = -0.6 + j. Which is the nearest to 0.2? (a) v (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322123551 (base 6) to base 12.\nAnswer: -1ab05b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i + 4. Let m(k) = -k. What is y(m(f))?\nAnswer: 11*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 3*p**5\/20 + p**4\/8 - 13*p**3\/6 + 4*p**2. Let l(j) = 3*j**2 + 20 + j - 11 - 13. What is -7*l(w) + 2*q(w)?\nAnswer: -3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z - 4. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*w - 18 = -7*w, 3*i = 4*w + 18. Suppose 5*z - c + 6*c = 15, -3*z + 2*c - i = 0. Solve 3*b - 16 + 4 = z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59276?\nAnswer: 2, 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7 - -5.03. Let d = v + -0.33. Which is the nearest to d? (a) 2\/19 (b) 0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*26\/26)\/(1\/4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -51136.\nAnswer: -153408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 3*h**2\/5 - 8*h\/5 - 3\/5.\nAnswer: (h - 3)*(h + 1)*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 22*f + 200. Let p be m(-9). Let g(n) = 352*n - 352*n + 103*n**p. Let x(v) = v. Give g(x(r)).\nAnswer: 103*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkukkuukkkkk. What is prob of sequence uu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1402*p**4 - 2630 wrt p.\nAnswer: 5608*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(36\/(-61016))*33\/22. Suppose 25 - a = -7*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 - 13*s**4 - 2*s**3 - 124 + s**2 - 117 - 2*s**2 as u*s**4 + p*s**3 + t*s**2 + d + o*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00960396 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*x**2 + 6*x**3 - 2 - 3*x**2 - 6*x - 3*x**2 - 3*x**2.\nAnswer: 2*(x - 1)*(x + 1)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.693 - 0.107. Let v = 6 + i. Which is the smallest value? (a) v (b) 7 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0239748 + -52.9834252. Let q = 54 - 1. Let x = o + q. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4390386986?\nAnswer: 2, 17, 129129029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*u - 54*u + 2197 = 0. Solve 6 = 2*x, 2*x + 2*x - u = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + k - 5. Let t = 42 - 38. Let r be 1*(-5 + t + -3). What is the tens digit of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 177?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13753 + 13748.72. What is g rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -37082?\nAnswer: 37113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 15, -m + 3*m = 4*k - 2. Solve 16 = 4*y - 3*n, -2*n + 20 = 5*y + k*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562546461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3*(-1 + -5). Suppose 3*h - 60 = -l*h. Let w be 33\/h*(19 + 1). Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 6*p + 3. Let q be h(7). Let v(t) = -3*t**3 - 6*t**2 - 5*t - 2. What is the tens digit of v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172690241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**3 + 11*t + 5*t - 4 - 6*t**2 + 11*t**3 + 175*t**3.\nAnswer: 163*t**3 - 6*t**2 + 16*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -120*j + 11408. Let a be (6\/(-4) + 0)*-2. Suppose -q + 8 = -4*c - 87, -a*q = 3*c - 225. Calculate the remainder when q is divided by h(95).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/((-8)\/(-6))*(-1)\/(-70).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5, -3\/4, -1.14 in descending order.\nAnswer: -2\/3, -3\/4, -1.14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5285.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -303, -302, -301, -300, -299?\n\"Answer: w - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230846471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.4. Let o = 1\/10004 + 10001\/30012. Which is the closest to -2? (a) -4 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2369 = 10*o + 2429 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 11015?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120864 or 120863?\nAnswer: 120864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-351747)*10747 + 12\/(-68) + 4\/(-18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303716653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39180 - -39617. Suppose -4*d = -5*u + 107, 4*u - 4*d - 88 = -0*d. Calculate the greatest common divisor of l and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 13*p**2 + 26*p + 26. Let n(h) be the first derivative of h**3\/3 + h**2\/2 + h + 577. Determine -26*n(u) + o(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2)\/(-14)) + -100 + 505908\/4830?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) - (-3*sqrt(6)*3 - sqrt(6)))*-1)\/(sqrt(3)*1*6 + sqrt(21)\/(sqrt(7) - sqrt(63))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/54*(-52)\/910*15?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379*q - 84 = -2393*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i + 9. Let f = 19 - i. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -2\/9 (c) -1 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*n + 25, 4*n - 21 = -3*g + 2. Which is greater: g or 26\/45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -10 - (-8 + 8 + 15)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 27*m - 64*m + 29*m**2 + 39*m + 0 to z*m + s + q*m**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 - 8 = 0. What is the units digit of ((-21)\/(-4))\/(9\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(98) + 5 + -1*-4*sqrt(98) + -4.\nAnswer: 4 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 387\/41?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10397 and 562?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = 6. Calculate the common denominator of -91\/20 and (z - 105\/(-18))*-1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034960 - 14.078?\nAnswer: -1034974.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8207, -8198, -8177, -8138, -8075, -7982?\n\"Answer: l**3 + 2*l - 8210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 302*l**3 + l**2 + 4*l - 5. Let z be t(2). Suppose g + z = 3*q, -2*g - 1626 = -2*q - 4*g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/((-16)\/((-2880)\/(-27))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.072 (b) 0 (c) -236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24\/84 + (-32)\/63\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17290 and 3458?\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 376*k + 3764. Let w be b(-10). Solve -w*f + 8*f + 18 = -2*g, -17 = 4*f + 3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1743, 1755, 1755, 1737, 1695, 1623, 1515?\n\"Answer: -f**3 + 19*f + 1725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4901 + 0.0099. Let z be (5\/(-4))\/((-9)\/(-72)). Let j be (6\/14)\/(11 + z). What is the closest to 2\/7 in v, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2976 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 130 = -5*d, -4*d + 85 = 3*y - 26 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -211 - -207. What is the third biggest value in v, -30, -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12\/((s\/s**(-9))\/s)*(s\/(s\/(s\/s**(-1)))*s)**(-27))**(-35))**(18\/13) assuming s is positive.\nAnswer: s**3780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-18 - (23 + -8 + -24))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 1800?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-10))\/(420\/(-4900))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f + 10. Let i be j(5). What is the third derivative of -14*z**5 + 19*z**i + 32*z**5 - 19*z**2 + 7*z**2 wrt z?\nAnswer: 2220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 23*j**3\/3 - j**2 + 22. Calculate the smallest common multiple of n(1) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 3*((2*sqrt(16))\/sqrt(8) - (sqrt(98)*1)**2)*6.\nAnswer: -1755 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5315*z - 4181*z = -2013*z + 1077552 for z.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21453, -42907, -64373, -85857, -107365, -128903, -150477, -172093?\n\"Answer: -y**3 - 21447*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29035570 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25780, 46789, 67798, 88807?\n\"Answer: 21009*u + 4771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yghv when four letters picked without replacement from vshwsgyh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-45) - 2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/((-18)\/(-96)). Let s be (24\/16)\/(6\/c). Solve 2 - 4 = s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a factor of 3416780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 3*d - 6*d + 0*d + 32.\nAnswer: d + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r + 40. Factor -9*w + 0*w**3 - r*w**2 + w - 4*w**3 - 2.\nAnswer: -2*(w + 1)**2*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-8) + -2 - (-6)\/24. Suppose b = 13*n - 12*n - 3. Calculate the least common multiple of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 578 + -579. What is the nearest to j in -2, -0.1, -6, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20035 is divided by 4974?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -q, -5*q + 9 = -u. Let v = 41 + -24. Let w = v - u. Calculate the remainder when 41 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 16, 54, 128, 250, 432, 686, 1024?\n\"Answer: 2*o**3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnxppbwxppxp. Give prob of picking 1 p, 1 b, and 1 n.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8687 + 8685. What is the third smallest value in -1, -264, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 166518. Let s(b) = 422*b. What is s(h(d))?\nAnswer: -844*d + 70270596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1687*f + 37. What is m(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 11*r**2 - 11*r + 7. Let t(j) = -14*j + 2 + 2 + 11 + 24*j**2 - 9*j - 2*j**3. Let i(m) = -2*t(m) + 5*y(m). Give i(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46279 + 46253.681. Round i to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1544994 and 999702?\nAnswer: 16994934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/36 - (-36190)\/(-2772)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 9\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - w - 9. Let y be t(4). Is y at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288722 = -591*l - 330092 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 746309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100281089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250601 (base 7) to base 13.\nAnswer: -17b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5723*l - 5684*l - 1404 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 76696.893 minutes?\nAnswer: 7.60881875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 11*g + 53 + g**2 - 26.\nAnswer: g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1964009 - 1963067.2236. Let n = j - 942. What is n rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 6. Suppose 16 = -3*m - m. Let u(x) = 3*x - 5. Let v(o) = m*z(o) + 5*u(o). Let i(s) = 0 - 2*s + 2 - 6 + 1. Calculate -2*i(f) + 6*v(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*m + 56*m**2 + 33*m**2 - 113*m**2 + 9*m wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/(-630)*-91 + -10. What is the fourth biggest value in q, 5, 6\/7, 3\/5, 1.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.038 + -0.038. Let o = k - 62. Which is the third biggest value? (a) o (b) 1\/5 (c) -1\/18 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 7*s - 2. Let a be f(-6). Suppose -8*l - a = -7*l. List the prime factors of 218\/8 - l\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 1705.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 13 - h**3 + 30*h + 133*h**4 + h**2 - 134*h**4 + 17 to y*h**4 + q*h**2 + z*h + m + b*h**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000032134 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/36*3*2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532504 (base 8) in base 9?\nAnswer: -300405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 - (-20 - 17529)) + -11?\nAnswer: 2, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 280425.6 (b) 0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -431847.\nAnswer: -5\/431847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240396 and 45448?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.42+-51\nAnswer: -51.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*a - 2*m, -2*a = -a - 3*m + 6. Suppose 2*l + 84 = 4*h, 0 = -5*h + 2*l - l + 105. Let j = a + h. Calculate the highest common factor of j and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 74*b**2 + 79*b + 1. Let w(h) = 1. Let n be 329\/(-56) + 6 + 14\/16. Let r(o) = n*w(o) - m(o). What is the second derivative of r(p) wrt p?\nAnswer: 6*p + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23379, 23190, 23001, 22812, 22623?\nAnswer: 22434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, 3.1, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 7*p - 1. Let l = 3356 - 3363. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24640668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 6*x - 3. Let o be m(-4). Let y = o + 8. Put 2\/3, -1\/4, y in ascending order.\nAnswer: y, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n**2)*(0*n**2 - 2*n**2 + n**2) - 3*n**4 - 29*n**4 - 5*n**4 + 4*n**4 - 3*n**4 - 2*n**4.\nAnswer: -37*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110110011011 (base 2) in base 5?\nAnswer: -10330444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1758515 divided by 1758515\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1\/(-1*1). Let p be 395\/55 - (-2)\/(-11). Suppose -4*s + 27 = p. Solve r = s*q - 4 + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 17340*k**3 + 15033780*k**2.\nAnswer: 5*k**2*(k - 1734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*t**2 - 56*t**2 - 58*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:53 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 4*p - 1\/12*p**5 - 1\/2*p**3 - 1\/3*p**4 - 1\/3*p**2 + 0. Let h(l) = 0. Calculate l.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37979)\/652 - (-67 + 7)) + 3*3\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 7*b + 2*b + 0*b. Let s be x(-5). Suppose 0 = -s*g - 2*g. Is g at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/9462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + -3 + 4 + -2 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (-72 + -4) - 53 - (0 - (113 - 1))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, a: 11}. What is prob of picking 1 a and 1 j?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -278*b + 6211. Is u(-81) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(132)*1)\/sqrt(3) + sqrt(44) - sqrt(44)) + sqrt(44))\/(5*(sqrt(4) - sqrt(64)) - sqrt(4)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3052 and 10234.\nAnswer: 2231012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/5 - 184*g**2 - 58214*g\/5 + 59136\/5 = 0.\nAnswer: -384, -77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -296.8 - -0.02467356\nAnswer: -296.77532644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 160\/(-252) + (-4)\/18. Let j = y + 4\/7. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/20 + 5*w**4\/12 - 4*w**3\/3 - 3*w**2\/2 - 955*w. Determine u(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214888 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 78*o**2 - 798*o + 722.\nAnswer: -2*(o - 19)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 358432, -5, 0.1, -3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15)*(1 + 4). Suppose 2*m - 6 = g, 17 = 3*g - m + x*m. Suppose 14 = 5*p - 36. What is the lowest common multiple of p and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 + 384*o\/7 - 2880\/7.\nAnswer: -3*(o - 120)*(o - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 166 = 32*s. Solve 0 = 9*t - s*t - 42 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 - -52. Let l = k - -103. Solve -3*n + l = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -614 (base 10) to base 6\nAnswer: -2502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 162*k - 1281.\nAnswer: 3*(k - 61)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a - a)*(-a + a + 2 - 2*a).\nAnswer: -6*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Suppose 5*d + g = 19. Is 4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*-4 - sqrt(468))*1 - 3*(2 + sqrt(468))) + 0)**2 + 4.\nAnswer: 576*sqrt(13) + 29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15970847 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 1. Let t be (1\/(-1))\/(-1) + 2. What is the lowest common multiple of 8 and j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31481857 is divided by 2623487?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(36)\/sqrt(4)) - (sqrt(17) - (3 + sqrt(153) + sqrt(17)))**2) + (-2*sqrt(425)*-5 - sqrt(425)).\nAnswer: -162 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -49. Suppose 8 = -m*l + 12*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53\/6 or -2\/53?\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w - 12. Suppose -5*g = -w*g - 12. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.082 - 1.718. Let v = g + 1.5. What is the closest to -2 in 5, v, 2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -91. Let p = 96 - 11. Find the common denominator of (-70)\/50*p\/m and -61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1161 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30167123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e + 33e?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 30310574?\nAnswer: 30310601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121.58 * 4\nAnswer: 486.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*k + 73*k + 1163703. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 761\/1173 + 7\/391. Let q(d) be the first derivative of 0*d + g*d**3 + 0*d**2 - 1\/4*d**4 + 2. Determine k, given that q(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*z = 212*z - 1854. Calculate the highest common divisor of z and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 3, x: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -267*j**3 + 14*j**2 - 5*j + 9. Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 458808 (base 12) to base 9\nAnswer: 2077088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1258, 2606, 3968, 5344, 6734?\n\"Answer: 7*f**2 + 1327*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 - 4*r**2 + 5*r**2)*(-3 - 1 + 3) + 28*r**2 + r**2 - 80*r**2 + 50*r**2 + 1357 to w*r**2 + o*r + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1392.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1 - 26) - 20\/50*5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from ubcycuuytuyuutcuyy.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*l**2 + 12*l - 11*l - 13*l - 111*l**2 + 12*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -24. Suppose -h = -4*f - 0. Suppose 2*d + 2*d + n - 13 = 0, -f = -3*n. Solve -5*t - 1 = d*j - 9*t, 0 = 5*t - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) + 8\/3. Suppose 514 = 5*g - 5*b - 6, 316 = j*g - b. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 39*n**4\/4 - 2*n**3\/3 + n - 3. Let l be a(-1). Let o be (416\/l)\/(2\/(-20)). What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 - (148\/102)\/((-268)\/1206)\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -6*z + 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:03 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9\/l)\/l**(-1\/6))**(-2\/15)*((l*l\/(l\/(l\/(l**(2\/7)\/l))))\/l)**(-1\/6)\/(l**(1\/8)\/l**7) assuming l is positive.\nAnswer: l**(13861\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -5\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4430c + f?\nAnswer: -442fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**3 + 2*l**2 + 2*l. Let v(i) = 20*i**3 + 7*i**2 + 7*i - 1. Give -7*u(m) + 2*v(m).\nAnswer: -9*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11591 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-19)*(q*q*q*q**(1\/4))\/q assuming q is positive.\nAnswer: q**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != 182\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8*s - 7. Give k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205555 is divided by 25667.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -0.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7803 - 0.0507. What is l rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -27 (c) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.9 - -39.8. Let y = 0.2 - 0. Let n = -1.2 + y. Which is the nearest to 0? (a) -2 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 38 + 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2352324 to four dps.\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*-0.05.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4*u + 1. Let c be i(3). Let j = 499\/1416 + -9\/472. Factor 0*b - b**3 + 0 + 4\/3*b**c - j*b**2.\nAnswer: b**2*(b - 1)*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.87 + -20. Let n = 0.43 + b. Let m = n + -0.06. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-11)))\/v)**(-48) assuming v is positive.\nAnswer: v**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9357.83 centuries to decades.\nAnswer: 93578.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5942 or -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.573279 hours to minutes.\nAnswer: 514.39674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 2)*(-p + p - p)*(1 + 19*p - 89*p - 42*p + 2*p**2).\nAnswer: -18*p**3 + 1008*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -0. Suppose -j + 2*j - d = 0. Suppose -3*z + 3 = 3*g, g + j = 2*z + 2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 - (12 + -23))) + (4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -632, -631?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 835108 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-1)*z)\/z)**(-41))**(-47))**(-7) assuming z is positive.\nAnswer: z**(-26978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**4 - 9*u**3 + 3*u**2 + 3. Let y(i) = i**4 - 4*i**3 + 2*i**2 + 1. Let v(x) = -4*h(x) + 9*y(x). Solve v(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 10*c**3\/9 - 16*c**2\/9 - 32*c\/3.\nAnswer: 2*c*(c - 3)*(c + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -4*m + n, 0 = m - 0*m + 5*n - 38. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6881, -6880, -6879, -6878, -6877, -6876?\n\"Answer: r - 6882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 725? (a) 3\/11 (b) -2\/5 (c) -8 (d) 1\/4 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 41 = 3*v, -12 = 4*v. Let g = 5 - x. Let w = -4 - g. Which is the nearest to w? (a) 2\/9 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 288*k + 0 + 289*k + 24*k**4 + 1 as f + g*k**2 + a*k**4 + p*k**3 + w*k and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4223 * 6\nAnswer: -2.5338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*j - 5*b, -9*j + 11*j + b - 7 = 0. Let h(l) = l**3. Let i(f) = -10*f**3 + f**2. Calculate j*h(a) + i(a).\nAnswer: -7*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81150327500 rounded to the nearest one million?\nAnswer: 81150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/222*9\/(81\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - o + 3)*(-2*o - 4 + 4) + 12*o**2 - 365*o**2 - 304*o**2 - 10*o + 2*o**2 - 2 + 2.\nAnswer: -653*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -587, 10, 653, 1366, 2173, 3098, 4165?\n\"Answer: 4*z**3 - z**2 + 572*z - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -23.\nAnswer: -128\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/6 - x**2\/2 + x. What is the units digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3242062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 5*o**2 + 2*o - 2. Let v(b) = -13*b**3 + 21*b**2 - 9*b + 9. Let d(s) = 2*v(s) + 9*z(s). Let a be d(3). Solve a - 6 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/120 - 3*r**5\/20 - r**4\/24 + r**3\/6 - 3*r**2. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1522*f**5*k + 623*f*k wrt f.\nAnswer: -30440*f**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 795. Let g = -293\/2 + d. What is the common denominator of -25\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 23*p**2 - 43*p - 16. Let z be v(-21). Suppose 0 = z*h - 2*n - 62189, 5*n - 16 + 1 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 7:32 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2339*p*q**2 - 2*p + 76580*q**2 wrt p.\nAnswer: -2339*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 3, k: 1, g: 1, x: 2}. What is prob of picking 1 x and 1 g?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1188, 3, 5 in decreasing order.\nAnswer: 1188, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/((-2)\/(-3))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -398 + 365. Let b = 32.005 - 0.005. Let x = k + b. What is the second biggest value in x, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*a = 7, -2*a = 41918*i - 41918*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*x + 4*v, 0 = 5*x - 4*x - 4*v + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968585889 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 0*x - 5*o - 31, -2*o = 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:51 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 22*g**2 - 8*g**2 - 13*g**2 + 4*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -42*t - 1481. What is v(-36)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.003194 <= -56\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346854985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34319 from 22958.\nAnswer: -11361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 - 8. Let f = t - 0.4. Let u be (50\/(-4))\/5*2. Which is the third biggest value? (a) f (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4587*r**5 - 127*r**4 + r**2 - 314762*r wrt r.\nAnswer: 275220*r**2 - 3048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46062?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4951970 and 27235835.\nAnswer: 54471670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1003, 1003, 1005, 1009, 1015?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(1*(sqrt(7) - sqrt(28)*1))**2 + ((-2*sqrt(126))\/sqrt(6))\/((sqrt(3) - sqrt(27))*1)).\nAnswer: -56 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*3)*3 - (sqrt(147) - (sqrt(147) - (sqrt(147) + 2 + 5)))**2.\nAnswer: -199 - 89*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/2*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680 is divided by 48.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 2. Let n(j) be the third derivative of j**4\/24 - j**3\/6 + 4*j**2. Let l be (4\/(-7))\/(2\/(-7)). Calculate l*w(r) + 2*n(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -7.1, -4\/3, 0.02, -88, 13?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -68346, -1 in decreasing order.\nAnswer: -1, -2, -68346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -5, 13 in decreasing order.\nAnswer: 13, 5, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 3. Let p(a) = 4*a + 2. Suppose 6*f + 1144 = -5*f. Let n be (2\/(-6)*-2)\/(f\/(-780)). Give n*p(y) + 3*m(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = v - 5*v + 24, -3*c - 20 = -4*v. Calculate the least common multiple of 322 and v.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.4 + 4.6. Let x = j - -34. Let z = x + -54.000078. Round z to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1667.\nAnswer: 1666.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1036, -2021, -3006, -3991, -4976, -5961?\n\"Answer: -985*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-98)\/((20\/35)\/((-6)\/21)). Let j(y) = 35*y**3 + 49*y**2 + 49*y + 49. Let o(c) = 3*c**3 + 4*c**2 + 4*c + 4. Give z*o(a) - 4*j(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3405551 and 3594132?\nAnswer: 11093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266 or -26?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 19 = -5*b, 9 = 5*u + 3*b + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41572.19 years in centuries?\nAnswer: 415.7219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.2 in -1, -4, 725, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v - 2. Let x(n) = 2*n**2 - 7*n - 7. Let p be -10 + (3\/2)\/(2\/4). Determine p*f(k) + 2*x(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1477*k**3*l**3*w**2 - 3*k**3*l**2*w**2 + k**3*l**2 + 6*k**2*w**2 - k*l**3*w**2 + 3*l wrt l?\nAnswer: 8862*k**3*w**2 - 6*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 0*s**2 + 2*s**3 - 142 + 153. Let m(d) = -d**3 - d**2 - 5. Let b(i) = 5*m(i) + 3*v(i). Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + v**3 + 2*v**3 + 2*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280 is divided by 1063.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hceccellcechccehchcc. What is prob of picking 2 e and 2 h?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h + 4*w + 1, w + 22 = -3*h. Let u be ((-161)\/(-28) + h)\/(1\/(-12)). Solve -u*m - 12 = g, -2*m - 2*g + 12 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 3*u - 9. Let k be t(-7). Suppose 5*z - 10*z = -k. Suppose -21*j + z*j - 14 = 0. Calculate the highest common divisor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 690646*t + 11316. Let i be r(-146). Round i to the nearest one million.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/16)\/(9\/(-12)). Let a be (-1*f\/33)\/(8\/(-6)). Is a >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/16481710 and -21\/23545300?\nAnswer: 164817100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 60. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/12 - 8*y**3\/3 + 8*y**2 + 4*y. Let g be h(14). Let w(q) = -q**3 - 6*q**2 + 11*q - 13. Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57687*w + 57719*w + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310 >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let j = -94 - -97. Let p be (-2)\/5*2\/(-4). What is the third biggest value in p, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(112) - (sqrt(112) - (sqrt(112) + 2))) - (sqrt(70) - -3*(-2*sqrt(70) - sqrt(70) - sqrt(70)))\/sqrt(10)))**2.\nAnswer: -1008*sqrt(7) + 12492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -15*z + 3. Let s = 1100 + -1102. What is c(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73946 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 2)*(-c + 0*c + 3*c) + 0 - 1 + 5*c - 2*c to the form r*c + k and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-21)\/52 - (-46)\/184. Let f = 14 + -9. What is the second biggest value in d, -4, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 2*r + 4. Let q be z(-2). Let t be ((-2)\/q)\/((-8)\/1360). Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75929\/18 + 4221. Let x = -167216602781\/3087 - -54167997. Let i = 3\/686 - x. Calculate the common denominator of i and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2225171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/9981550 and 87\/234860?\nAnswer: 19963100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -241.06 and 5.\nAnswer: -1205.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30182? (a) -0.2 (b) 20 (c) 1 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 + 698\/18. Suppose y = 3*j + 3. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsssdsssddddds. What is prob of picking 3 d and 1 s?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 7:18 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:10 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y*y**(-3))\/y))\/(y\/y**(2\/9)*y))\/((y\/y**(-5))\/y*y**1) assuming y is positive.\nAnswer: y**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 684 = -4*l, 3*f + 195 - 1077 = -5*l. Suppose l + 82 = 4*x. Let h = -62 + x. Solve 1 = h*r + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, -409, 0, 8058.\nAnswer: -409, -3, -1, 0, 4, 8058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 <= 7997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -11 + -9 - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -4*w + 4, -r = -0*r - 5*w - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2399*(-20)\/(30\/3) is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*i**3 + 108 - 63 - 45.\nAnswer: 151*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 + 4*l**2 + l**3 - 55*l - 5*l**2 + 154 to k*l + j*l**2 + i*l**3 + s and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4354685127?\nAnswer: 3, 13, 443, 84017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*((-16298)\/(-406) - 41 - 2132\/(-70)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -515, -505, -485, -449, -391?\n\"Answer: j**3 - j**2 + 6*j - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-14 - -18) + -3 - (-10 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 7070 = -5*z, 3*z - 4242 = 3*o. Suppose z = 14*v - 7*v. List the prime factors of v.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-9))\/(-14)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 5*h + 6. Let t be (-13)\/(-2 - (-4)\/4). Let g be (-536)\/104 + 2\/t. Let x be a(g). Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*l + 23. Let z(v) be the third derivative of v**5\/60 + v**2 - 507*v. Let w(f) = 11*f**2. Calculate l*z(k) + w(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a\/(a*a**(-4\/9)))**(4\/15) assuming a is positive.\nAnswer: a**(124\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2940, 2987, 3084, 3237, 3452, 3735?\nAnswer: 4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*a**3*b + 6*a**3*y + 96*a**3 + 36*a**2*b*y + 2*a*b*y + 2*a with respect to y.\nAnswer: 6*a**3 + 36*a**2*b + 2*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1439.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -2.6. Which is the third biggest value? (a) 2 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*w - 16 = -4*p, 20 = 5*p + 5*w. What is the first derivative of -5 - 8*q + 2*q - p wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 13?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225 (base 6) to base 12.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-80 - (31 + -101)) + (-39 + 1 - -3)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-4147)\/242)\/(112\/(-88))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510053129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:04 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - (-22)\/(-33). Suppose 2 = x - l. What is the second derivative of 2*b + 2*b - 70*b**x + 59*b**2 wrt b?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2217561.3 months?\nAnswer: 184.796775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9770.75 and -0.019.\nAnswer: 185.64425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/2 - 6*a**4 + 22*a**3 - 35*a**2 + 51*a\/2 - 7.\nAnswer: (a - 7)*(a - 2)*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 + 5064*l - 597184 = 0. Calculate l.\nAnswer: 124, 2408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (11 + (-10 - 2))) + 108\/21. What is the nearest to -39 in u, 6\/11, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6 - 2. Let s be (56 + -56)\/(3*8). Solve -k*u = -s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 3*l - 2. Let n be p(-4). Let w = 646 - 646. Suppose -n*o - 248 + 782 = w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchjhhhhccchhcchhccc. What is prob of picking 1 j and 3 c?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 - -22. Let u = -0.93 + -0.17. Let k = u - -1. Which is the closest to h? (a) 3 (b) k (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37578427?\nAnswer: 41, 47, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 16994662.589419?\nAnswer: 16994663.589419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u - 7*u**5 + 12*u + 3*u**5 - 6*u**5 wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-7) - (-4)\/14. Suppose 25 = 8*i - 3*i. Solve -z = o*z + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzp when three letters picked without replacement from jpzpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1550 + 1772. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*((1 + sqrt(147) + -3 - (sqrt(147) + (sqrt(147) + 1)*3)) + 0)**2.\nAnswer: 1260*sqrt(3) + 8088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/112 and 143\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682658 is divided by 311.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/120 - 3*i**5\/20 + i**4\/6 + 43*i**3\/6 - 14*i**2. Let t be o(-9). Solve -12*k = -t*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/7*10166\/86411)\/((-11)\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164794*o + 164794*o + 7742*o**5)*(0 + 2 - 1).\nAnswer: 7742*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (9\/((-36)\/(-40)))\/(-2). Solve 4*n + n - 4*r + 6 = 0, -z*r = -4*n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6878*d + 15249 - 213729 = 14738 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 2 + 0 + 1. Suppose 2*b - m*b = 0. Let k = 35 - 32. Sort b, 4, k in increasing order.\nAnswer: b, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 38. Suppose 84*s = 79*s - d + 118, -4*d = 28. Calculate k(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1323, -5457, -16681, -38541, -74583, -128353, -203397, -303261?\nAnswer: -431491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7 = 60*c - 55*c, 3*c - x + 201 = 201 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.45 + -0.55. Sort 23, q, -0.3, -4\/5.\nAnswer: q, -4\/5, -0.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 6. Let j = 117 - 62. Let r(g) = -10*g + 55. Let s(w) = j*y(w) + 6*r(w). Let t(a) be the second derivative of -a**3\/3 - a. What is s(t(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 - 4*q - 8. Let h(m) = -11*m**2 + 3*m + 7. Let i(w) = -3*h(w) - 2*z(w). What is the tens digit of i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 33. Let z(s) = 6263*s**2 + 2*s - 12543*s**2 + 6289*s**2 - 2*s. Determine c(z(q)).\nAnswer: -81*q**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011000 - 112220?\nAnswer: -12200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + 7*p + 1. Let v(x) = 5 + 2 + 4*x**3 - 8 - 6*x. Determine 3*l(o) + 4*v(o).\nAnswer: o**3 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12370093, -3, 0 in increasing order.\nAnswer: -9, -3, 0, 12370093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 + 55. Let r be o(0). Suppose -4*f + 59 = r. What is the smallest value in 0.2, f, 3\/2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/180 + 2*y**5\/45 + y**4\/9 - 17*y**2. Let u(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 1\/1550 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27075, 3, 2\/17, -2\/9, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, -2\/9, 2\/17, 3, 27075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 882060 and 91830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28019 + 42918. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.6 take away -13?\nAnswer: 298.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 727\/7107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, e: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-11 + (-181148)\/(-16467))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*((3*-5*(sqrt(192) + 0)*6*-2)**2 + 3).\nAnswer: 18662405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40546421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.64573 - -227247563.\nAnswer: 227247562.35427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -22387014 smaller than -22387018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1133*t + 1069*t - 4529*t to the form z*t + q and give z.\nAnswer: -2327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4 - 12) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 3 (c) -10\/21 (d) 4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937630.54 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4299, -17206, -38719, -68838, -107563, -154894?\n\"Answer: -4303*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2\/3, -2, -3, 4, 20\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(876513\/(-219129) - -4). Let p = u + 671731. Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (6189165\/(-15) - -10). Round a to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-56))\/(((-78)\/117)\/((-8)\/(-3))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (62 + (-7 - 37)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0263 times 23922.5?\nAnswer: 629.16175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 44. Solve -5*j + 2*l = -1, -1 + 6 = -o*j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139932 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 = -4*j + 5, 0 = -v + 3*j - 12. Suppose 0*t = 5*t. Suppose -u = -2*f + 110, v = 4*f - t*u + 2*u - 204. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5187 divided by -19.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -2*l - 73. Let o be (221 - 37)\/((-4)\/8*-16). What is the greatest common divisor of l and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 66*a**2 - 25737*a - 1450. What is n(390)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10441994 or 10441992?\nAnswer: 10441992","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 54*j**2 - 81*j + 67. What is the hundreds digit of h(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a9472 (base 12) in base 3?\nAnswer: 102100200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -88. Suppose c + 18 = 5*x. Suppose -2*p = 2*n - 220, 5*p - 4*n - 50 = 500. Calculate the greatest common factor of x and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003178014 rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(13\/5)))\/n**(-3\/4))**(-37) assuming n is positive.\nAnswer: n**(1369\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50730 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f + 22 = -3*f, -17 = 2*t + 5*f. Let q(w) = -w**3 - 6*w**2 + 10*w - 2. Let n be q(t). Let h = n + 109. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*o + 276. Let r = 75 + o. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345284368*1\nAnswer: -345284368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -472 + 465. Which is the third smallest value? (a) s (b) 1\/6 (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234728 + 148*c + 234728)*(0*c + 0*c - c)*(-c - c + 3*c).\nAnswer: -148*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 28*r + 10 = 0. Let a be r*4\/(-8)*5. Suppose 0 = 2*f - 2*y + 6, -21 = 2*f - 3*f - a*y. What is the greatest common factor of 7 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.36851m?\nAnswer: 436.851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 46*y - 182. Let a be w(4). Suppose -3*l + 2 = -2*r - 4, -2*r + 4 = 2*l. Solve r = -q - a + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -640 + 630. Let x be 40*(-5)\/r - (-2)\/1. Let b(t) = t**3 + 5*t**2 - t - 2. Let m be b(-5). Solve m*j - j - 8 = -2*s, 3*j - x = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*d - 4. Let l(f) = f - 9. Calculate the common denominator of l(d) and (-86)\/12*6\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**3 + 0 + 2 - 9*s + 7 - 5*s**2 - 14. Let z(i) = 3*i**3 + i**2 + 2*i + 1. Calculate 4*k(r) + 18*z(r).\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-28)\/(-924))\/((-10)\/(-3190)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 626518018*y - 626518018*y - 2*y**2 + y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -22\/5, -0.5 in descending order.\nAnswer: 1\/3, -0.5, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -94442, -5\/6, 0?\nAnswer: -94442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 + 11*f - 8. Let z(y) = 2*y**3 - 4*y + 3. Let r = -38 + 29. Let b be 6\/r + 10\/(-3). Let w be -4 - (-5 + 4)*b. What is w*z(p) - 3*x(p)?\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (5 - 33) - -29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 f, and 1 h when four letters picked without replacement from hffhfcfcccfhhhf.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - n = 12, o - 5*n = -7*n - 3. Suppose -39*h = -o*h - 144. Which is the biggest value? (a) -46 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249.9 - -250. Let p = 1.3 + -0.3. Let f be 2\/5*87\/(-58). Sort u, p, 0, f in descending order.\nAnswer: p, u, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4)**(-50)*(n**(2\/5))**(13\/2))**(-13\/3) assuming n is positive.\nAnswer: n**(4277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.15973.\nAnswer: -0.79865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 340.4450387 and -779.\nAnswer: -438.5549613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -w + 22, 0 = n + 5*w. Let d be (-18)\/(-4) - (-15)\/n. Solve 5*a - 3 = j, 5*j = d*j - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:40 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -11*i + 4*l, 3*i - l - 14 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 15 = g + b, -4*g - 5*b - 27 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 887738581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*q - 26. Suppose 0 = 2*z - q*z + 6. Solve -16 = -3*n + n - 2*y, -z*y = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -15*z**5\/4 - 45*z**4\/4 + 81*z**3\/2 - 81*z**2\/2 + 7*z. Factor i(v).\nAnswer: -3*(v + 3)*(5*v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.45 + -2.15. Put -1\/2, 0.4, 1, m in decreasing order.\nAnswer: m, 1, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2009 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256095 is divided by 51163.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 33*w - 8*w + 44*w to k*w + i and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 45*a**3 + 7*a**3.\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, e: 4}. What is prob of picking 2 p?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 + 27?\nAnswer: 27.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 2. Let s(j) = -4*j - 2. Let t(o) = -3*a(o) - 2*s(o). Determine t(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 336.6581cm?\nAnswer: 3.366581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 372158 divided by 317\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106836970\/9 or 11870774?\nAnswer: 106836970\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7752 and 405960.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -83, -128, -173, -218, -263?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23937\/22 - 1089. Find the common denominator of -73\/18 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0 - 2) + 1. Suppose 10 = 3*f + 4. Let l = f + s. Put l, 2, -4 in ascending order.\nAnswer: -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 11:21 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Let w = 211\/5 + -42. Let o be (-1 - 1)\/((-3)\/6). Which is the nearest to 0? (a) o (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/28*2)\/(((-372)\/(-72))\/(-31)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -13\/24*o**4 + 0*o + 0*o**3 + 0 - 56*o**2. Let n(g) = -3*g. Let z(h) = 4*h. Let j(f) = -7*n(f) - 5*z(f). Calculate j(b(a)).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npz when three letters picked without replacement from iikpiinkkkpzkpkzkzin?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*h + 3*h. Suppose 4*u = -s + 16, 7 = u + 3*s - 8. Suppose 5*z + 2*o = 30, -2*o = -u*z + 44 - 10. Is h > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 13*j**3\/6 - 9*j**2\/2 + 19*j. Let x be c(6). What is the greatest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 3158.\nAnswer: 202112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3\/7 + 9*r**2\/7 - 3*r\/7.\nAnswer: -3*r*(r - 1)*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639503509 to the power of 1\/2, to the nearest integer?\nAnswer: 51376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88559?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7254 and -58326?\nAnswer: 65580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/33240 and 33\/21650320.\nAnswer: 64950960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 38, 3, -1\/9, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-59 + -13)*1*-1. Suppose j = 2*j - y. Let s = j - 147\/2. Which is the nearest to 1? (a) s (b) 1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/456 and 97\/22762?\nAnswer: 273144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 10*m - 6*m. Let s(t) be the second derivative of -19*t + 0*t**2 + 1\/6*t**3 + 2. Calculate h(s(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eejjejjejj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191671 + 191671. Let z be 10*(-1 + (-3)\/(-2)). Let m = 3\/31 + -133\/93. Which is the second biggest value? (a) m (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 4, c: 2, j: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + w + 70523*w**3 - 2*w**4 - w**4 - 70529*w**3 to u*w**2 + g*w**4 + m*w**3 + l*w + b and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 18 = -2*n, 4*i + 84 = n + 69 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16748 - 16347. Calculate the remainder when w is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-38))\/((-210)\/12 + 8\/4).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 17374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/24 - 23*c**2 - 42*c. Let r(h) be the first derivative of y(h). Let o(z) = 15*z + 5*z + 0*z. Calculate r(o(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 121042442 (base 6) to base 8\nAnswer: 10574332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 1891. Let w(d) = 3*d + 5674. What is 16*n(q) - 5*w(q)?\nAnswer: q + 1886","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 - -0.53. Which is the nearest to -0.1? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + -3)*(0\/(-1) - -3). Let g(j) = -41*j - 153. List the prime factors of g(f).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-20) + 51\/15. Let i be (21\/84)\/((-93)\/w). Let g = i - -100\/651. Which is the smallest value? (a) g (b) -4\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 22*t**2 - 29*t + 30. What is the units digit of x(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -2457, -3675, -4893?\nAnswer: -6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666555889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5472 divided by 684?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i. Let w(j) = -j - 23. Let t(l) = -157*l - 92. Let v(p) = 5*t(p) - 20*w(p). Calculate v(c(g)).\nAnswer: 6120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2203.2 and 670 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)\/i**(-4\/9))\/(i*i\/i**8*i**10) assuming i is positive.\nAnswer: i**(-370\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/24 + (-19)\/(-4). Solve 2*q + 6 = 2*o + 3*q, 0 = 5*o - n*q + 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b - 65d?\nAnswer: -6ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 6*u + u)*(3 - 3 - 1)*(3*u + 9*u - 4*u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -504, -760, -1018, -1278, -1540, -1804?\nAnswer: -2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2662)*3)\/(sqrt(11) - sqrt(33)\/(-1*sqrt(3)) - sqrt(77)\/(sqrt(14)\/sqrt(2))) + 2 + 5 + -5)**2.\nAnswer: -264*sqrt(2) + 8716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 2430?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40498193 to the power of 1\/2, to the nearest integer?\nAnswer: 6364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8235909 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.506 - 4.50599950867. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 0 + 5 + 3*d + 10 - d**2 - 2*d. Let j be k(0). Let z = -7787 + 7952. Calculate the highest common factor of j and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86088*b*c**3*i + 2*b*c**2*f*i**2 - 6*b*c**2*i**2 + 2*b*c**2*i + b*c*f*i + 19*b*f*i + 9*c**3*f*i**2 + 309*f wrt c.\nAnswer: 516528*b*i + 54*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/7, 11, -4\/5 in increasing order.\nAnswer: -4\/5, 0, 4\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3780 - -3788)*(-55)\/(-5)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 17 - 0 - (87 - 35).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(5\/3))*l**3)**(1\/15) assuming l is positive.\nAnswer: l**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 140?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 705195 - 705417 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1387935726.7450015 + 1387935423. Let y = a + 307.245. Let f = -3.5 + y. Round f to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 0.57?\nAnswer: 0.1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 + 7\/60*u**5 + 104*u**2 - 1\/3*u**3 - 1\/120*u**6 + 0*u - 3\/8*u**4. Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55945 + 1456575 = 55*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 + l**4\/3 - l**3\/3 - l**2 + 2*l. Let f be n(3). Suppose 2*s = 9 - f. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100834 = -7*g - 27623. What is the units digit of g\/6*(-48)\/72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 4*w - 4. Let o = -21 - -23. Suppose r + 15 = 2*m - 4*m, -o*m + 15 = -5*r. Determine u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25a3 - a77?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7351229, 14702469, 22053709, 29404949, 36756189, 44107429?\n\"Answer: 7351240*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 + 4*j - 2. Let z(q) be the first derivative of -q**2\/2 + q - 3. Let t be z(-1). Determine w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 249502?\nAnswer: 3\/11341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -28938?\nAnswer: -28940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/5, 1, -3, 0.115, -0.3 in descending order.\nAnswer: 8, 1, 0.115, -0.3, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/18805 + -124139\/244465. Let c be (-1)\/(3\/(-1)) - (-10)\/(-390). Let o = c + w. What is the nearest to o in 3\/8, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -365. Which is smaller: v or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -914, -204, -55 in descending order.\nAnswer: -55, -204, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 12 + 9 + 3 + 7*u + 11. Let q be g(-6). Suppose -2*h = -2*p - 88, 3*p + 250 = q*h + 8*p. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493791223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 - 4*p + 3. Determine c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.87 + 0.13. What is the closest to 6 in -0.1, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.04 + -0.04. Let q = 3.7 + -6.8. Let z = q + 3.2. What is the nearest to 0 in -3\/5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 0.6399, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -8716.772013.\nAnswer: -8716.472013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4*(-39)\/(-104))\/((-3)\/(-582)). Solve 0 = -290*c + i*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600 divided by -75.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 1. Calculate l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -4*p + 4*r + 195, 4*p + 2*r = -22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -23869.\nAnswer: 1\/23869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -519542, -1039040, -1558542, -2078048?\nAnswer: -2597558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59772351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c - 5*j + 10 = 0, c - 8 = 3*j. Solve -c*p - 35 = 4*d, -2 = -d + p - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)*o**(1\/5)*o*o\/o**(3\/2)*o**(-5) assuming o is positive.\nAnswer: o**(-367\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*y + 6 = 0. Solve 0 - y = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.11008128.\nAnswer: 1.88991872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -510*z**2 - 2*z + 10. Let t(a) = -2040*a**2 - 9*a + 44. What is 9*r(f) - 2*t(f)?\nAnswer: -510*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t - 58*t = 0. Suppose t = -10*x + 8*x + 154. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2405*p - 2418*p + 390 = 0 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*q + 36*i - 80 = -38, -6 = 5*q + 4*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(0 - 2 + 3)*(-3122*v**2 + 1201*v**2 + 1271*v**2).\nAnswer: 1300*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 11584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587162?\nAnswer: 2, 3, 264527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-7))\/(2\/(-3)*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 141379.921 to the nearest 1000.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(28\/6) + (-87)\/(-2). Let i = g + -41. Suppose -t - t + 8 = 0, 5*x = t - 4. Solve -u + 3 + i = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 - 5*j**2 - 3*j + 4. Let o(r) = -r**3 + r**2 + r - 1. Suppose -4*u - 5*z + 24 = -z, 3*u - 3*z - 6 = 0. Determine u*o(s) + g(s).\nAnswer: s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 21 + 6 = -3*d, -3*v + 9 = 4*d. Sort -2, -3, -6, d in ascending order.\nAnswer: -6, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - 6*z**3 + 0*z**3 + 865*z**2 + 616*z**3 - 865*z**2 - z - z**3 + z + (-4 + 4 + 2*z)*(-z**2 + 2*z**2 - 2*z**2) + 0 + 0 - z**3.\nAnswer: 605*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000268 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 0.7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -30. Suppose -4*p + 3 = -c. Suppose p*i = 4*h - 82 - 9, 2*h + 2*i - 28 = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5145\/(-210) - (1 + 6))*(-278)\/417?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + -59 - -37) + 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 54 = -8*p. Put p, -1, -5, 4 in increasing order.\nAnswer: -5, -1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -135 - 250. List the prime factors of a.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81168265 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 460.57 - 0.392.\nAnswer: 460.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*b + 2754 = -182*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -7\/4 (c) -30\/83 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 676*s**3 + 0*s**2 - 194*s**3 + s - 1 - 2*s**4 + 2*s**2 - 16*s**2 + 15*s**2 to b + i*s**3 + c*s**4 + o*s**2 + k*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-12))\/(-22 - (-3955)\/180). Calculate the greatest common factor of 4482 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 44 + 16 - 50 + 24 + 16*c**2 + 6*c.\nAnswer: 16*c**2 + 2*c + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = a - 0*a - 1, -4*a - 1 = t. Which is greater: t or -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79664 divided by -4.\nAnswer: 19916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4))\/(x\/(x\/(x*x\/x**(-3\/2)*x)))*(x\/(x\/(x**1\/x))*x)\/x**6 assuming x is positive.\nAnswer: x**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -3\/2 (c) -0.27 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1684*f - 30 - 1686*f - 1672*f**4 - 27 wrt f.\nAnswer: -20064*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88747.45 millilitres?\nAnswer: 88.74745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/30*1*(-400)\/160.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39128.\nAnswer: 2, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = -35*x - 17*x - 18*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-16 - -28) + -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*c + 24 = 5*m - 134*c, 4*m + 3*c = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 297 = -2*o. What is the smallest common multiple of 10 and o?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.3 (b) -0.04 (c) -1\/7 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 2e21?\nAnswer: -2e22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-846)\/(21 - 39)*1 + 3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.4829, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:52 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471058.\nAnswer: 2, 7, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8416654*o - 76. Let j be n(-6). Round j to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*a + r, 0 = -5*a + 3*a + 2*r - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 1, e: 3, p: 2, x: 6, m: 3}. Give prob of picking 1 x and 1 j.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-50)*4\/12?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 28 = 4*x + x, -2*x - 2 = 3*v. What is the remainder when -692*x\/10*(-40)\/(-64) is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k + 4*k + 5*k + 0*k to the form m + v*k and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441601797 to the nearest integer?\nAnswer: 21014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - 9\/((-36)\/(-16)). Let t be s - 8*1\/2. Is 914 - (-7 - (-4)\/(t + 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sszsw. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -48769*n - 390125. Determine y(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45347?\nAnswer: 137, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 363725*n**3 + 1091205*n**2 + 1091215*n + 363740 = 0. What is n?\nAnswer: -1, 72748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*h - 24246 = 572*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x**3 - 2*x**2 + 1. Let z be q(-1). Solve 2*b - 11 = -o - 0, 0 = -5*o + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 + 266525?\nAnswer: 266454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 30?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:24 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 4 = 46*l. Let p = 2025\/1354 - -3\/677. What is the nearest to 0.1 in l, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = a - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 270*y**2 - 36*y - 431. Is x(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 1, n + 26 = -b + 6*b. Suppose -l + 6*l = b. Solve 3*x + 2 = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 6. Let y(g) = g**2 - 5. Suppose 0 = -5*k + 3*n + 22, 5*k - k = 3*n + 17. Let b = -25 - -19. Calculate b*y(r) + k*w(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9672695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17080\/(-50))\/((-428)\/(-10)) - -8.\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/((c\/c**(-1\/4))\/c))\/(c\/c**(-2\/9)*c**(-2\/17)) assuming c is positive.\nAnswer: c**(-829\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 4, c: 5, k: 1, i: 1, v: 1}. What is prob of picking 1 i and 1 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1201?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*-1 + sqrt(187) - sqrt(187))*-6 - sqrt(187))\/sqrt(11))**2 + sqrt(153)*1*-5.\nAnswer: -15*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/39*(3 - 0). Let o = i + 8. What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s*w**3 + 3*s*w**2 + 150*s*w + 5*s - 1225900*w**2 - w + 12 wrt w.\nAnswer: -12*s*w + 6*s - 2451800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 20 = i, -i - 4*i = -q - 4. Let z(k) be the third derivative of 1\/3*k**3 + 1\/12*k**4 + 0*k + i - 2*k**2. Differentiate z(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/48 - 235*r**3\/24 + 2075*r. Solve t(a) = 0.\nAnswer: 0, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3)*-2 + -4)) + 5.\nAnswer: 3*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**25*r))\/r)\/r**(3\/2)*(r*r**(-11))\/(r**19\/r*r) assuming r is positive.\nAnswer: r**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 237*m + 5*m**2 + 237*m.\nAnswer: 5*m**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372 - 369. Let q(f) = 6*f - 4. Let s(t) = 3*t - 2. What is n*q(b) - 5*s(b)?\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124 - -107. Is w\/2 + 4\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35973, -71548, -107123?\n\"Answer: -35575*c - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1\/2 (c) 4 (d) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3786365983 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3009851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.8 (b) 2 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -0*t + 4*c, 0 = 4*t - 5*c - 29. Suppose -2*z + t*z = 1968. Let p = 785 - z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098379 plus 701.18?\nAnswer: 701.081621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 92, 2\/5, -59\/3, 3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2021 + 11?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2490443049 and -0.2.\nAnswer: -2490443049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 26. Calculate the common denominator of -7\/8 and q\/3*162\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043031 (base 5) to base 8.\nAnswer: 44124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 7*c - 3*c)*(5*c - c - 3*c) - 2*c**2 + 0*c**2 + 4*c**2 + (4*c**2 + 2*c**2 - 5*c**2)*(272 + 549 - 145).\nAnswer: 680*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -387667*c + 387666*c - 25, -5*o - c = -149 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwqwwcwcqwwwwqwwwww. Give prob of picking 1 q and 2 c.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. What is the common denominator of p\/((-12)\/5 - -1) and -8\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -770 divided by -5.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 69*u + 10652. Give l(-49).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1063*y + 2121. What is u(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 - 6164*i + 837.\nAnswer: -6164*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 370554218, 370554219, 370554220?\n\"Answer: w + 370554217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 = -2*g, -50 = -378*g + 376*g - 2*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 + -11 + (-323)\/(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1*2))\/(78\/104)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1889 times -151363\nAnswer: 28592.4707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 808847827 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240529 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 366, 497, 594, 645, 638, 561?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166216 by 4.\nAnswer: 41554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lqqfffllffqffflf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6129 + 10240. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5217927 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) -6\/59 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.9313372 to 1 decimal place.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-4)*x*x)\/x*x)**(-34))**(-40\/3)*((x*x*x*(x**3*x)\/x*x)\/x**(3\/4))\/(((x*(x*x*x**(2\/5)*x*x)\/x)\/x)\/((x*x*x**3)\/x)) assuming x is positive.\nAnswer: x**(190811\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.5 - 110.\nAnswer: -97.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + -0.06. What is the closest to 1\/4 in 5, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1491 + 1487. Which is the closest to -0.1? (a) m (b) -5 (c) -1.7 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2108.9, -0.4, -3\/2 in increasing order.\nAnswer: -2108.9, -3\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.11, -1\/4, -3\/7, 18, -2\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2638*(-12)\/(-16)*760\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6. Let t(z) = 2*z**2 + 10*z + 13. Let s be t(-4). Let x(w) = w**2 + 5. What is s*c(d) - 6*x(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*c + 48*c - 4*h + 20, 20 = -3*c + 4*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*o**2 + 22 - 22 to the form j*o**2 + v + a*o and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 8*h**2 + 9*h - 2. Let x be p(7). Let k be (0 + -1)*1 - -18. Suppose -5*w = -67 + k. Calculate the greatest common divisor of x and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1614392 divided by -13\nAnswer: 124184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/12541 less than -0.071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(4 + sqrt(99) + -1 + sqrt(99)) - (3 + 1*sqrt(99) + -3 + sqrt(99) + -4))**2.\nAnswer: 1176*sqrt(11) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -118, 56, 428, 1064?\nAnswer: 2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v - 220. Calculate m(19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 + 10000101001000010?\nAnswer: 10000101010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 642, 0.49, -2?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 110445*d**2 + d - 36. Let l be u(-9). What is l rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 140*r**2 - 142*r + 7. Let o be n(-71). Solve -30 = o*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.822 + -25. Let o = 2.822 - i. What is the nearest to -2\/9 in 0.4, 5, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458042*g**5 + 3*g**2 - 198268*g wrt g.\nAnswer: -27482520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 10*o + 18.\nAnswer: (o - 18)*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*p - 2 = 0, -5*p = 4*w + 5 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -78*y**3 - 2*y + 4. Let d(r) = 78*r**3 + 2*r - 5. Let o(q) = -2*d(q) - 3*j(q). Suppose -6*s + 3 = -3*s. Let v be o(s). Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8688 (base 15) to base 16.\nAnswer: -6f3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17367 + 17371. Let k(f) be the third derivative of 1\/4*f**5 + 0*f + 0 - 40*f**2 + 0*f**3 + 0*f**o. Let y(r) = 2*r**2. Give k(y(h)).\nAnswer: 60*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 5*g**2 - 5*g + 5. Let i(q) = -8*q**3 + 14*q + 0*q - 5 - 14*q**2 + 0*q - 9. Calculate 5*i(z) + 14*j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -15)\/(-5) - 0. Find l such that 3*l**3 + l**4 - 33*l**2 + 33*l**2 - c*l - l = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -471\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -89*k + 83*k. Solve -s = -5*s - 3*b + k, 2*s + b - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.552237s in hours?\nAnswer: 0.0134867325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 7206*o - 93 + 247.\nAnswer: -7206*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -20.9.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.99 - 47. Let s = 0.02 - x. Which is the biggest value? (a) s (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = -5*k - 125, 5*g + 143 = 4*k. Let a be ((-6)\/2)\/(g\/36). Find the first derivative of 2 + p**a + p - p + 4*p**4 wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 3*u + 1. Let d(c) = 8*c**3 + 7*c**2 + 17*c - 9. Let n(x) = -d(x) - 5*g(x). Determine n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*i**2 - 21*f*i - 15*f + 3 wrt i.\nAnswer: -2*f*i - 21*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 0*d + d + 89.\nAnswer: 2*d + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 147 = -483. Suppose 1052 = 7*i + 72. What is the greatest common divisor of i and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {q: 2, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 7*k - 8*k + 49 = -6*k - 18, -3*b + 18 - 8 = -k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/h)**50)**49 assuming h is positive.\nAnswer: h**(-1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:48 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from cnwvd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-60)*-6 - 1)*0. Let i = -3 + 6. Solve s = -4*c + c + i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 17*o**2 - 21. Let q be w(17). Let c = -39 - q. Which is smaller: c or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*m - 10 + 202*m + 141*m + 12 to r + f*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i = -26 - 70. Solve 30 - 38 = i*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3798 = -5*b + 7712. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39494091.38 and 0.9951.\nAnswer: 39494092.3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-24))\/((-1)\/3). Suppose -v + k*g = -7, -3*v + 3*g - 7*g = -5. Let z(s) = s**2 - 4*s + 4. Let t be z(4). Solve -t*f - 2 = -v*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8054 + -8057. Let z(u) = 40*u. Determine z(d).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from obkdkdkkokdkkordbrod?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560244.\nAnswer: 2, 3, 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 18. Suppose 0*h - h = g - 3, 0 = 4*g + 3*h - a. Solve 3 - 5 = -g*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1)\/((-10)\/(-65)). Let u = t - 5. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.2 - -101.2. Which is the closest to 0.03? (a) -1\/4 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 7:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6422 divided by 38\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*2\/(-4))\/(33\/(-88)). Suppose 0 = h + i*u - 12, 7*h - 4*h = 4*u - 12. Solve h*d + 3*d = 5*l - 14, 11 = -4*l - 5*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2436 + -2\nAnswer: -2.2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228 - 110. Let w = -123 + h. What is the closest to -2 in -0.4, 2, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 36 + 36 + m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*z - 0*g + 14, -z = -5*g - 7. Suppose z*a - 60 = -2*j, -j - 102 = -3*a - 24. Calculate the remainder when 53 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*n + 4, 0*n - 2*n = 2*z - 2. Let g(q) = 6*q - 3*q - 8 + z*q - 4*q. Let o(v) = 2*v + 16. Let s(m) = 5*g(m) + 2*o(m). Determine s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:54 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + -2.09. Which is the nearest to 0.1? (a) p (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 40 + 56. Solve 0 = 2*i - 3*a - a + 8, -v*a = -2*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1352)\/1183)\/((-150)\/(-105))*30*-1*-2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 20*c - 3. Let d be o(7). Let y = 38 - d. Let v = y - -5\/4. What is the closest to -0.1 in 2, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:55 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235437845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29038360.\nAnswer: 2, 5, 13, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25852197607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(5) - (sqrt(400)\/sqrt(8))\/sqrt(10)) + (-3*sqrt(5) + -4 + 0)**2.\nAnswer: 24*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 1. Let x be q(-2). Let j(z) = -x*z + 4*z**2 + 0*z**3 + 2 - z**3 + 3*z**2. List the prime factors of j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(2\/2)\/1*586\/2344.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*v - 78*v + 20*v - 720 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440.6 - 440.3. Let h = -5\/3 - -7\/3. What is the second biggest value in h, 4\/7, 2, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -26 (b) -2 (c) 0 (d) -1 (e) 5 (f) 10 (g) 112.13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/42 + 7*d**3\/6 - d. What is the second derivative of s(x) wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 0.08\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/3)\/d)\/d)\/(d*d**(3\/5)))**15\/(((d\/((d*d*d**1)\/d))\/d)**(-23)\/(d\/(d**(-2\/15)\/d)*d**3)) assuming d is positive.\nAnswer: d**(-1348\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122 or 823493?\nAnswer: 823493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1.1, 0.03, 145680?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) + (sqrt(6300) - sqrt(6300)*-1*-2 - sqrt(6300)) + 4*sqrt(6300)*-1)\/(sqrt(9) - sqrt(2268)\/sqrt(7) - sqrt(45)\/(-1*sqrt(5))).\nAnswer: 25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 603438 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310130221 (base 4) to base 8.\nAnswer: 643451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88349 is divided by 29449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - f + 2*f + (0 - f + 0)*(3 - 4 + 0)*(-9 - 3 - 13).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 11977*y + 155424. Calculate i(13).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -633253707 + -4?\nAnswer: -633253712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:47 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**2 + 61\/10*w**5 - 5*w + 0*w**3 + 7\/4*w**4 - 14. What is the third derivative of l(c) wrt c?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 0, 2, -2, -8 in decreasing order.\nAnswer: 91, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516\/4 + 5 + (3 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1034.\nAnswer: -1\/1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*z**2 + 6*z**4 + 37*z**2)*((-4*z + 5*z + 0*z)*(4 + 1 - 2) + 0*z - 3*z + 4*z) + (0*z + 0*z + z)*(4*z**4 - 4*z**4 - z**4).\nAnswer: 23*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = -5*z + 3*h + 414, 0 = -10*z - h + 72 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 9*b**3 - 38*b**3 - b**2.\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 4 - 4 + (2 - j - 2)*(-j + 2*j - 2*j) - 9*j - 11 + 5 + 9*j**2 + 7 as m*j + d*j**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26274.\nAnswer: 2, 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -26858\nAnswer: -8057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 2, l: 4, c: 1}. Give prob of picking 2 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5879 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (266*m - 36*m - 711*m - 11155*m - 10887*m)*(-m**3 + 0*m + 0*m) to the form y*m**2 + c + r*m + v*m**3 + o*m**4 and give o.\nAnswer: 22523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16723 (base 12) in base 4?\nAnswer: 13312023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109, -856, -2885, -6838, -13357, -23084, -36661?\n\"Answer: -107*f**3 + f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1353 and 4?\nAnswer: 5412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Let h = -0.14 - 0. Let t = -7.14 - h. Put 0, t, b in decreasing order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5\/7 - 3328*w**4\/7 + 30188*w**3\/7 - 74008*w**2\/7 + 128*w\/7 + 107648\/7 = 0. Calculate w.\nAnswer: -841, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -2\/13, -12 in ascending order.\nAnswer: -12, -5, -2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - m - 4)*(3*m**3 - 3*m**3 + 2*m**3) + (10*m - 10*m - 6*m**2)*(22*m**2 - 2*m**2 - 4*m**2) as b*m**3 + a*m + z*m**2 + j*m**4 + k and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 + h**2 + h - 1. Let q be o(1). Suppose 0 = -q*v + 20, u = -2*u + v + 8. What is the third derivative of n**4 + 8*n**u - 8*n**4 - 8*n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 10*w - 3. Let d(p) = -p - 12. Let k be d(-19). Let y be c(k). What is the second derivative of -y*z**5 - 18*z + 2435 - 2435 wrt z?\nAnswer: -500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -277315 + -2 + -1 - -1. Let v = d + 193317. What is v rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 4. Determine b(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w = -16 - 6, 16*i + 2*w = 242 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.01 + 34. Let i = v + 51.01. Let w = 58 - i. Which is bigger: w or 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17304 (base 11) in base 2?\nAnswer: -101111100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (1 - -1)\/(1*(-5 + 3)). Let q(i) be the first derivative of 17 - 1\/2*i**r + 0*i + 8\/3*i**3 - 4*i**2. Factor q(m).\nAnswer: -2*m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c**2. Let z(w) = 5*w. Determine z(y(a)).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 19. Is ((-28)\/(-6))\/(12\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57 (b) 2 (c) 2\/819 (d) 84\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1\/2, -0.872, -1.6, -98, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/3 + 272*w**3\/3 + 3700*w**2 = 0.\nAnswer: -222, -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 51. Let y = 1 + w. What is the smallest common multiple of y and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, 1 x, and 1 l when four letters picked without replacement from tzxltcgllllggzgcccgt?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5490*j + 1044*j + 324558 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23438.68 - -119870.\nAnswer: 143308.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7273?\nAnswer: 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 11*a - 14. Let v(y) = 2*y**2 - y. Let o(h) = -t(h) + v(h). Let i be o(-5). Which is bigger: i or -3\/53?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30223438 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7428*f**3 - 7427*f**3 - 166*f + 3*f**2 - 5*f**2 - 29. Let m be h(14). Which is the closest to m? (a) -2 (b) 0.49 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8772899, 17545787, 26318675?\n\"Answer: 8772888*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + m + 2 - 30*m as o*m + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.2 (b) 2\/5 (c) -390 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6722988801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 6*z - 6. Determine y(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 174. Solve 0*b + 5*c = -m*b + 17, -c = -2*b - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.39 + 21.19. What is the third smallest value in -5, m, 1\/5, -3, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1236\/29 in -6, 6, -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 980115 a multiple of 543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrqqrrbqrrqyjqr. Give prob of sequence qryb.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-3*d + d**3 + 3*d) + (-418*d**2 + 16 - 16)*(4*d - 4*d + 3*d).\nAnswer: -1252*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -90685*q**2. Let d(y) = 3*y**2. Calculate s(d(z)).\nAnswer: -816165*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40860 and 4160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -73915, -73918, -73921, -73924, -73927?\n\"Answer: -3*m - 73912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 413\/49 - 3)\/(40\/280)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950247374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + -22. Let z be (56\/(-20) - -2)*-205. Let b = z + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*x + 1 = -5, 0 = -3*r + 5*x + 9. Is 3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655010 (base 8) to base 13.\nAnswer: 78c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in 3\/2, 3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.97 + 12.37. Sort -13, m, 2 in ascending order.\nAnswer: -13, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445273.\nAnswer: 59, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13010321 (base 4) in base 8?\nAnswer: 70471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -912 + 982. What is the lowest common multiple of 77 and y?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2 - 18. Suppose -18 = j - 5*h, j - 11 = -a*h + 7. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -458 - -446. Let r(a) = -a**2 - 4. Let s be r(0). Is 18 a factor of (279\/u - -1)*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 391 = 17*g. Suppose -4*t = -7*t + 198. What is the remainder when t is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 248 = -169954*q + 169957*q, -4*q + 6*y = 724 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = -3. Solve 4*z = x - r, -z = -3*z + x - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*v - 199 = 0, -5*l - 3*v = -0*v + 309. Let a = 71 + l. What is the lowest common multiple of a and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u + 52*u - 230 = 0. Let l be u\/(-10) + (-2)\/(-5). Sort l, 4, -5 in descending order.\nAnswer: l, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4*u**3\/3 + 9. Let d(m) = -m. Calculate d(g(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*v = 103*v - 51*v - 83*v + 11385 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 407 (base 8) to base 13\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(-3) - -3) + 21837\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let d(y) = 3*y - 98 + 67*y + 13. Let c(l) be the first derivative of 5*l**2\/2 - 6*l - 19. Let p(q) = 85*c(q) - 6*d(q). Calculate m(p(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*m, -6*m + 3*m + 302 = 5*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/60 + (-8)\/(-60))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -8, 6, -0.1, 2, 20, 1 in increasing order.\nAnswer: -8, -0.1, 0.35, 1, 2, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1459 divide 102305080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 + 2*k**4 + k**3\/2 - 8*k**2 + 6*k = 0. What is k?\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 62\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 2*h - 7. Let t(q) = -5*q**2 + 6*q + 3*q**2 + 10*q**2 + 20. Let z(u) = -11*g(u) - 4*t(u). What are the prime factors of z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15789 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9306.38um in nanometers?\nAnswer: 9306380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/2 - (152 + -163)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69.9653 - 0.0547. Let j = w - -70. Suppose 0 = 24*r - 31*r + 14. Sort j, 2\/13, r, -1\/3 in ascending order.\nAnswer: -1\/3, j, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q + 6*q + 50*q**2 - 6*q**4 - 56*q**2 + 8*q**5. Let j(o) = -o**4 - o**2 + o. Let t(g) = -6*j(g) + w(g). Find the second derivative of t(l) wrt l.\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a litre in millilitres?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 588689 divided by 132\nAnswer: 588689\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:44 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/4*y**2 - 16*y + 1\/4*y**3 + 11.\nAnswer: (y - 2)*(y - 1)*(y + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-22)\/(1056\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -162857*i. Let q(j) = -45*j**2. Calculate q(k(v)).\nAnswer: -1193508110205*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1105 not equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69\/20 - 13\/4. Find z such that 0 + 2\/5*z**3 + 0*z**2 - g*z**5 - 1\/5*z + 0*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -333*p**2 - 3329*p + 27. What is i(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 407062913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 93 = 26*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**3\/s)\/s)**(-18\/7))**(-42) assuming s is positive.\nAnswer: s**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -650 - -1801. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s = -67*s - 1200 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 - 192*d - 1444. Give n(-21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5220155 - -10?\nAnswer: 5220205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10084 or -10086?\nAnswer: -10086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1156*b**3 + 204*b**2 + 960*b - 400 = 0. What is b?\nAnswer: -1, 10\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaooojo. What is prob of picking 1 c and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.044 and 0.02140273?\nAnswer: 0.06540273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 not equal to 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -k. Suppose -2*z = 5*l + 2 + 8, -z - 5 = k*l. What is the second smallest value in z, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 r, and 1 m when four letters picked without replacement from {b: 1, w: 4, a: 2, l: 3, m: 2, r: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1 + 2 + (1*-1*sqrt(17) + sqrt(17))**2.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*-2)\/sqrt(7))\/((2*sqrt(120))\/sqrt(12)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:06 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 2*n**2 + 7*n**2 + 8*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 21 = -4*n, -123*n + 120*n = z - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*t**2 - t + 32*t**2 + 5*t - 4*t.\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-54)\/(-10) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Let o = 1.9 - l. Which is the biggest value? (a) 4 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 14*k - 16*k + 50, -4*k = -5*p - 94. Suppose -v - i + 52 = -5, -4*i - 82 = -v. Calculate the remainder when v is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 11, h: 2, z: 1}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(6\/45)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 20*f**2 - 16*f + 20. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 248, 247, 244, 239, 232?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000011 + 11111110?\nAnswer: 111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x**3 - 5*x**3 + 12*x**3)*(-4 + 5 - 2)*(34*x**2 + 3*x - 32*x**2 + 8*x).\nAnswer: -44*x**5 - 242*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(4 + (-9)\/3). What is the third smallest value in o, -5\/3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 15) to base 13\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.8. Let p = -38863 + 38867. Which is the third biggest value? (a) h (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -5 (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 62\/(-5). Let y be (-536)\/(-14) + 4\/(-14). Let b = h + y. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330 - -358)*(-2)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 109, -104, -433, -896, -1511, -2296, -3269?\nAnswer: -4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 6*y + 166 = -9*s + 7*s, 4*y = -5*s + 104 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25551 = -5*m - 147551. What is m rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 15. Find the second derivative of -4*y**c - y - 8 + 8 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-980)\/3. Suppose -7*h + 128 = -r. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5712232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 1113318072*p\/5 - 103289760786816432\/5.\nAnswer: -3*(p + 185553012)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2*i**3 - 32. Let o(b) = -4*b. Give o(j(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = y - 139, y - 3*y + 4*m = -248. Let v be (0\/1 + -75)*(-38)\/y. Solve -o = 4*o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 23*o**6\/120 - o**3\/2 + 24*o**2. Differentiate n(y) wrt y.\nAnswer: 69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*6)\/(sqrt(132)\/(-2*sqrt(11) + sqrt(11)))*-2.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 5 = 0. Suppose 0 = -3*h + 5*t + 4, h - 3*t + t = 2. Calculate the least common multiple of i and 6*(h + 10\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 457 - 365. Let i = n - 87. What is the nearest to 39 in -0.1, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017142942.\nAnswer: 2, 508571471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 35\/(-7)*146\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310103 (base 4) to base 12.\nAnswer: -1b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 3*t, 3*t - 13 = 3*w - t. Suppose o - 1 = 11. Sort o, w, 4.\nAnswer: w, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/38)\/(31\/589). Which is bigger: 147\/29 or g?\nAnswer: 147\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from akkauwxuaaxaaawawuw.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 688 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0989838636 and -2589.\nAnswer: -2589.0989838636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-114)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) 0.239 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 335\/9 - 7\/(126\/4). Let l = 0 - -36. Is l less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49 - (-81990)\/1485 - 1\/((-2)\/(-10)) and -125\/1266.\nAnswer: 13926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (2 - (-2 + 4 - -6)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25738513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45322378 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -61, -4, 2, 24, 3, -1 in decreasing order.\nAnswer: 51, 24, 3, 2, -1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 - 100*l**2 - 199*l - 1762. Determine c, given that v(c) = 0.\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((645\/30)\/(-43))\/(3\/84)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:31 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152*d + m = 1148*d + 20, 11 = 5*d + 3*m. Let g(p) = 2*p**2 - 12*p - 14. Determine g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmdymqpqqmdqdy. What is prob of sequence qm?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47.53 times 5\nAnswer: 237.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.755 - 4.655. Let h = 4 - 10. Let i = h + 5.7. What is the closest to 1 in u, i, 0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19178675234162+-0.1\nAnswer: 19178675234161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4*u**3 - 4*u**4 + u**2 + 72*u - 67*u + u**2 - u**5 = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 5}. What is prob of picking 1 v and 3 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = v + 2*v. Suppose b - v*b + 8 = 0. Factor 6*d**3 + 8*d**b - 2*d**3 - 2*d**3 - 9*d**2 - d**4.\nAnswer: -d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 20. Suppose -15 = -s*i, 4*i - 20626 = -h + 641. Let j = 51247 - h. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 23. Suppose l = 4*j - 17. Suppose 441 = q + j*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120, -484, -1094, -1950, -3052?\n\"Answer: -123*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -797 - -796.9999043. Round w to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.807 - -1.691. Round i to 1 dp.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 + -180. Suppose -153*m + 149*m = s. Are 2\/145 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215277027 times -0.01?\nAnswer: -0.00215277027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p**2 - 8*p + 216. Let u(o) = -11*o**2 + 12*o - 324. Let j(r) = 7*f(r) + 5*u(r). Let q be j(-13). Solve -c - q = -4*c, 3*c = m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.01976, -0.25, 0.3.\nAnswer: -11, -0.25, 0.01976, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4478665 (base 9) in base 10?\nAnswer: -2414264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 2578099229?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 1, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -32*b. Let i(r) = 1468*r**2. What is k(i(q))?\nAnswer: -46976*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27605613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14288*s. Let r(j) = 14229*j. Calculate -4*c(l) + 3*r(l).\nAnswer: -14465*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 32. Give k(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 9)*(-2*h + 0*h + 5*h) + (-3*h + 3*h - h)*(1 + 6 + 0) in the form s + d*h and give d.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.063715 and -50.573.\nAnswer: -49.509285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.242 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977*-0.4.\nAnswer: -390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 5, k: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 22*u + 156. Let j = -3 - 1. What is the units digit of (j - 100\/(-24))*44*u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 4}. What is prob of sequence fyy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 3*j**3 + 5*j**3 + 15*j**3.\nAnswer: 23*j**3 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**2 - 580*k**2 - 193*k**2)*(2 - 4 + 1) + 6*k**2 - k**2 - 2*k**2 + (-1 + 1 - 2*k)*(-k + 1 - 1).\nAnswer: 753*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/50)\/(((-43605)\/150)\/57)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 3. Let s be c(8). Solve 2*b = l - 5, -2*l - s = -l + 2*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 11*r - 95. Let w = r - 12. What is the remainder when 18 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -0.09 in increasing order.\nAnswer: -2, -0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*d + 25 = d, 11 = -2*h - 5*d. Suppose h*f + 957 = 5*i - 0*f, 0 = 3*f + 3. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -114*v**2 - 3621*v - 3311249?\nAnswer: -228*v - 3621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021111102201100 - -10?\nAnswer: -2021111102201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {a: 6, o: 1, l: 2, k: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 5f5?\nAnswer: 5f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, q: 2, g: 2, x: 1, s: 7, l: 1}. Give prob of sequence xc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -11*m**5\/60 - m**2 + 5. Let a(x) be the second derivative of p(x). Let u(w) = -w. Calculate u(a(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 23 = 6*v. Suppose 470 = -v*o + 12*o. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-792)\/234)\/(-11))\/(1\/((-6)\/(-8))).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*h*s**2 - 472*h + 9*s**2 - 58*s - 61 wrt s.\nAnswer: -32*h*s + 18*s - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 22*l**2 + 110*l - 15. Determine a(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36301 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 1, w: 1, z: 5, f: 1}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q - 153*q**3 + 95*q.\nAnswer: -153*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 2509 - 515. What is the lowest common multiple of k and 6?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 3, o: 4, z: 1, s: 1, b: 3}. What is prob of picking 2 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 - 10 = 0, 3*y - 389 = 4*t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(2\/25))**(2\/23) assuming n is positive.\nAnswer: n**(-4\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let h be 3 + -3 + 0 + 5. Let u = a - h. Is u <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 16*r = 19. Factor 34*k - r*k**2 + k**3 + 0*k - 45 + 15*k + 14*k.\nAnswer: (k - 15)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (4 - 819\/(-72))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 28*g = -31*g - 30, 0 = 5*k + 5*g - 10. Sort -1, k, 0, 3 in descending order.\nAnswer: k, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2138*t**2 - 33*t - 7. Let s(g) = -g**2 + 5*g + 1. What is o(v) + 6*s(v)?\nAnswer: -2144*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/10 - 1)\/6. Which is the nearest to -3\/2? (a) 0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4\/4 + 5*v**3\/3 - 2*v**2 + 16*v + 1118. Calculate a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 10*j**2 + 22*j + 1. Let w be q(12). Let l = 23 + w. Suppose -4*d - 20 = l, 5*k - 524 = -5*d + 236. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 4052 - 4052 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2271735 and 2736.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 4447 + 6773. What is the remainder when w is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-164*z**2 + 111 - 111)*(-3*z**2 + z**2 + 4*z**2) + (4 + 4*z - 4)*(4*z**3 - 2*z**3 - 3*z**3) to y*z**4 + u + h*z**3 + r*z**2 + o*z and give y.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204562 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-13\/2))\/k)*k)\/k**15*(k**(-7)\/k*k*k)\/(k**(-10)*k) assuming k is positive.\nAnswer: k**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.6 + 10.74. Let o = q - -0.26. Which is the closest to -1\/6? (a) 0.5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -23. What is the common denominator of 68\/3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 87 = 18*j - m, -4*j + 2*m - 66 = 0. Let s be (-2 + 0)*747\/j. Which is bigger: s or 82?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 13112?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from flllkltlslkltkkk?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) -6.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 + 34*p**4 - 58*p**3 - 378*p**2 + 360*p + 648 = 0 for p.\nAnswer: -18, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)*5)\/(sqrt(45)\/(sqrt(5)*1)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793, -799, -805, -811?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7)*j)**7\/(j*j\/(j\/(j*j**(-8))))**40 assuming j is positive.\nAnswer: j**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61187.7613 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5380.\nAnswer: 1\/5380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 56. Let m be n(-17). Suppose 0*d - 24 = 3*d. Let t = m + d. Solve -6 = t*k - 3*p, -4*k - 5*p - 13 = 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 714 = -5*h. Does 41 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:00 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 160, -1\/4, -5?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0229704171 rounded to 5 decimal places?\nAnswer: 0.02297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87197251927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/152 and 2\/(-6)*7*(-9078)\/307496?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2976\/9*-2*12. Let q = a - -174539\/22. What is the common denominator of -119\/18 and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65096395 to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(98) + sqrt(98) + 1 + sqrt(98) + 5)**2*-4 + ((sqrt(98) + 0)**2 + 1 - -2*(sqrt(98) + sqrt(98)*1)**2).\nAnswer: -2789 - 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85516247257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + 4)*-1 - (sqrt(28) + 3*sqrt(84)\/sqrt(3))\/sqrt(4).\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 + 99052*p**4 + 612760288*p**3 - 5520489808*p**2 + 14726062208*p - 9818431744 = 0 for p.\nAnswer: -12386, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(19\/(228\/12))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*o - 15165 + 23581 = 0 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-40))\/((-3)\/(-8)). Let v = -11044 - -54877\/5. Let n = v - -69. What is the closest to n in 3, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333640\/3 - 111206. Factor 2\/9*g**2 + 68\/9*g + t.\nAnswer: 2*(g + 1)*(g + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59696540?\nAnswer: 2, 5, 37, 80671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11020 and 48140.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) - 72\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 4976630*u + 19906600.\nAnswer: -5*(u - 995330)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(0 + -1 + 2). Suppose -l*a = 4*z - 6, 3*a + a - 3*z = 45. Suppose 8*m - 5*m - 75 = 0. What is the remainder when m is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:16 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 916400 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8 + 12*f - 4*f - 8*f**2 - 8*f**3 + 3*f**3. Let h(j) = -1014*j + 3 - 3*j**3 + j**3 + 1017*j + 0*j**3 - 3*j**2. Determine -8*h(w) + 3*k(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**4\/4 - 39*j**2\/2 + 32. Find the second derivative of s(y) wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -49.5. Let m(s) = s**3 + 5*s**2 - 6. Let w be m(-5). Let j be (-5)\/(-6)*w\/20. Which is the nearest to -1? (a) 0.2 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 12705 = 23*m. Let d = m - 38. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*m - m**2 - 455*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfzorzrooyoofrrrr. Give prob of picking 3 o and 1 f.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14005*l**2 + 3 - 3 + 7306*l**2.\nAnswer: 21311*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1899.2 + 1743. Let t = -22.8 + x. Let i = -179.0000071 - t. What is i rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 14*u = -11, 0*u = 3*g - 3*u + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2886077480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -272 divided by -101856\nAnswer: 17\/6366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 60*x - 1587849. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43727.88um in centimeters?\nAnswer: 4.372788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/5 - y**3\/6 + 3*y**2\/2 + 6*y. Let i(u) = 11*u**3 - 2*u + 8. Determine -3*i(c) + 8*z(c).\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120807*p + 131543*p - 462739*p + 48487*p - 455824*p.\nAnswer: -617726*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 2. Let n be g(-2). Suppose q + 25 = n*q. Suppose 5*u = q*k + 35, 4*k = -0*k - 20. Put -3, u, 5 in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -81*o. Let u(p) = -5*p. Let c(r) = -2*l(r) + 33*u(r). Let y be c(-1). Suppose -11 = -y*h + 13. What is the remainder when 23 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let v(z) = -138912846*z**2 + 9*z. Calculate o(v(j)).\nAnswer: -138912846*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + g**2 + 3*g**2)*(2*g + 2 - 2) + (-38*g**2 + 1147185*g - 1147185*g)*(4 + 3 - 6)*(8 - 8 + 5*g).\nAnswer: -194*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9665 + 9727. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 76. Calculate z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:55 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s - 359 = -629 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfq when three letters picked without replacement from qrzfwvvzf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10500669 rounded to 3 dps?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/16 and 47\/4266.\nAnswer: 34128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 108 = 109 + 71 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*sqrt(80)*-1 + 1))**2.\nAnswer: 640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/46, -1\/14, -783\/22?\nAnswer: -783\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:40 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/15840663 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-15 + 20) - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 - -249. Suppose 0 = -3*w + c*p + 716, -2*p + 246 - 952 = -3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 22*u - 16 = 0. Suppose -u*j + j = -28. Let c**5 + 37*c**4 + 2*c**2 - 15*c**j + 1 + 2*c**3 - 3*c - 25*c**4 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 50 = -17*m. Suppose -85 = -5*u - 5*q, -6*q + m = -q. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1322418 or -1322416?\nAnswer: -1322418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 4. Let l(b) be the second derivative of b**3\/6 - b**2\/2 - b. Let z be l(5). Let t be h(z). Solve 0*s + 8 = -5*x + t*s, x - 6 = -3*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27521 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - j - 3*j + 2*j + 1. Is w(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j - 174 = 48*j - 166*j. Factor 3\/4*n**3 - 27\/4*n**2 + j*n + 0.\nAnswer: 3*n*(n - 8)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let x(y) be the third derivative of -7*y**5\/60 - 4*y**2. Let l(r) = 15*r**2. Let j(i) = -3*l(i) - 7*x(i). Calculate o(j(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1618675l in millilitres?\nAnswer: 161.8675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -477, 721, 1893, 3027, 4111?\n\"Answer: -2*s**3 - s**2 + 1215*s - 1689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11842665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -50*y + 666. Let o be t(11). Solve 138*z - 80*z + o = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 2*r - 8*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z + 37*z - 16*z - 24*z + 2*z**2 - 61*z as o + l*z**2 + v*z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u - 31. Let q = -1615 + 1617. Let l(h) = -3*h + 6. Calculate q*x(r) + 11*l(r).\nAnswer: -3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:28 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) -38 (c) -9\/68 (d) -4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 1 = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009136648 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12333117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 10) to base 8.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 65. Let p = -2426 - -2425.8. Sort -6, p, -0.05, v.\nAnswer: -6, v, p, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 30*v = 9845. Solve 173*u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 24. Let l be n(-17). Let t(m) = 8*m - 3. Let d(i) = -9*i + 3. Give l*t(c) + 6*d(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -63 - (0 + 16)) + 8 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**2 - 1 + (0 - 2*r + 0)*(2*r + 2*r - 5*r) - 4*r - r**2 + 4*r)*(3*r + 3*r**3 - 3*r) + 88*r**5 - 268*r**3 + 268*r**3.\nAnswer: 94*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/15 + -17\/60. Let z = 1 - 3. Sort z, g, -1 in ascending order.\nAnswer: z, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/630 and 91\/6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 10*c - 19 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0966 + 0.09660934. Round f to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*b - 3282 = -i + 291*b, 3*i = -b + 9830. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/(-348))\/(1630\/(-270) + 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -16*j - 3456. Let m = j + 151. Let y be 2\/4*(1 - -5). Solve -y*z = -m*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3992 divided by -12938.\nAnswer: -1996\/6469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 546*o**2 + 4369*o + 7. What is d(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -4*c**3\/3 + 2*c**2 + 10*c - 5. Let m(v) be the first derivative of b(v). What is the tens digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 33. Suppose v = -o + 224. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12021 (base 5) to base 2\nAnswer: 1101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-6*(sqrt(128) - sqrt(128)*-3))**2 + -3 + 2*(sqrt(128) + (sqrt(128) + 1)**2).\nAnswer: -294661 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11134 and 2432?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 4)*(-3 + 4 + 1) - 1 - 1 + 4)*(5 - 5 + 8*i) to the form q*i + a and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3 - -2) - (4 - 6). Let j be (106 - -4) + 2 - l. Suppose 0 = -3*q + 3*p + 363, -q - p + j = 2*p. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769912828.\nAnswer: 2, 47, 79, 51839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*((-16)\/(-6))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107917?\nAnswer: 311, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3617 + -2698. Calculate the remainder when d is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 35. What is b(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7246344*s**2 + 8199324 wrt s.\nAnswer: 14492688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from eooeoooeeeeooueu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 3 - (625\/15)\/(3\/(-9)).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 at least as big as -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**2*p**3*z**3 - 68*n**2*p**2*z + 4*n**2*p*z**3 - 19*n**2*z**3 wrt p.\nAnswer: -24*n**2*p*z**3 - 136*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3207 (base 8) to base 7\nAnswer: 4605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1204, -1, 1, 26, -19 in increasing order.\nAnswer: -19, -1, 1, 5, 26, 1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/14351833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -5.45. Let i = -15 - -14.95. Let v = j - i. Which is the second biggest value? (a) -0.9 (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let q be (-18 + (-141)\/(-9))\/((-6)\/9 - -1). What is the nearest to q in -5, 3, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 3*j + 30, j + 293 - 80 = 10*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2625 divided by -525.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 plus -9?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 1. Let l be 3\/2*4\/3. Let g be b(l). What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**3 - 5*r. Let c = 54 + -55. Let l(q) = q**3 - q. Give c*d(p) + 5*l(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195440571?\nAnswer: 3, 883, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1600 - -1599.8. What is the smallest value in -3, d, -350?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/78)\/((-104)\/(-12)). What is the smallest value in 0.02, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 289*i - 3898. Determine p(15).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/122571 + -83104\/85186845. Let o = t - 13667\/1390. Calculate the common denominator of o and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8385 - -8381. Which is the second biggest value? (a) i (b) -5 (c) -3429\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-224)\/(-10) + (-6)\/15. Suppose -m - 3 = 5*w. What is the closest to 0 in -0.5, w, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 597.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 63080*p**4 - 3266865*p**3 - 2825370*p**2 + 19222920*p = 0.\nAnswer: -12564, -51, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 9, 23, -3, 21\/2, 1.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*-42.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 12. Let y be v(0). Let m = y - -34. Suppose -2*c + c = -16. Calculate the least common multiple of c and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 283*o - 358*o - 4350 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -964391, -964031, -963671, -963311, -962951, -962591?\nAnswer: -962231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -m, -2*t + 36 = -4*m + 2*t. Let q be 2\/(-18)*m\/(-4). Let s = -1 + 6. Which is the second smallest value? (a) -3 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 27\/5, -4, -0.02, -0.3, -3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 106220, 3 in ascending order.\nAnswer: -14, 3, 106220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 175.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 295?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.05, -7 in decreasing order.\nAnswer: 2\/3, -0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2298753220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459100187 to the power of 1\/3, to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b - 100*b = -2*a - a - 48*b - 13, -4*a - 6 = -10*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2808*i**2 - 2434*i**2 - 3046*i**2 as q + k*i**2 + a*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*y + 34*y - 21*y + 45*y to the form b*y + z and give b.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12450820 and -1.\nAnswer: -12450820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:25 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) + (3 + sqrt(9)\/sqrt(3))**2.\nAnswer: 12 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 2*w + 7*x + 7, 3*w - 5*x = -21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 160 and 49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(v + 0 + 0) + 11 - 31*v - 11.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94.1 + -94. Let t be (-40)\/(-15) - 3 - 102\/(-144). What is the nearest to -1\/9 in j, -1, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 226 and 13.276?\nAnswer: 3000.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14867*c - 29520*c - 15*c**2 + 14653*c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 19.5. Round r to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. Suppose 3*x - g - 105 = x, 0 = 3*x + o*g - 135. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1517*r**3 + 4*r**2 - 3*r + 3. Let s(o) = -o**2. Let c(d) = -g(d) - 4*s(d). Is c(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-16)*(-72)\/2. Let o = -17 + g. Suppose 5*p + 18 = x + 3, -2*x + 10 = -5*p. Put o, 9, x in descending order.\nAnswer: 9, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + -230?\nAnswer: -25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.8 - 75.415. Let k = f - -0.065. Let u = k + 1.04. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2. Let d be 57 - -5 - (2 + 2). Let s(y) = -58*y + y**2 - d*y - 15 + 116*y. Calculate h(s(j)).\nAnswer: -5*j**4 + 150*j**2 - 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 - 2.3. Sort 5, 0.2, p in ascending order.\nAnswer: 0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*n - 5*x, 3*n = -n + 2*x + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300132 and 12566638.\nAnswer: 5558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*n - 49, 3*n - 160 = -2*p - 199 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -r + 12, -3*r - 2*r = 15. Suppose b*w = 2*x + 3*x - 10, -6 = 2*w - 4*x. Put w, 3\/2, 3 in decreasing order.\nAnswer: 3, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**2 + 116*s**2 + 225*s**2 as p + o*s**2 + f*s and give o.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*u - 2848 - 1386. Is -1614\/11 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/3*u**5 + 35\/3*u - 6*u**3 + 2 - 52\/3*u**2 + 22\/3*u**4 = 0. Calculate u.\nAnswer: -3, -2, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**4 + 2 - 4*f**3 - 9*f + 2*f**3 + 11*f in the form c + k*f**3 + i*f**4 + o*f + b*f**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008994?\nAnswer: 2, 7, 97, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45180 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 (base 10) in base 2?\nAnswer: -1000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 53 = 7. Let f = -31 - v. Let y(j) = j**2 + 14*j - 1. What is the tens digit of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 193324.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -81*i + 4. Let x(k) = -22*k**2. Determine x(t(p)).\nAnswer: -144342*p**2 + 14256*p - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(891))*-5 + sqrt(891) + 1)**2.\nAnswer: 216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((31 + -33)*22)\/((-4)\/7). Solve 66*r = 77*r - c for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*p + 269*p - 1170*p.\nAnswer: -1059*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60829 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 45 = 143. Let f(o) = -o**2 + 12*o + 27. Let v be f(l). Is 2\/87 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510*p**2 + 2 - 2 - 2507*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from {w: 7, m: 5, j: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37247553 - -185530060873\/4981. Let x = r + 2\/293. Let q be ((-1)\/1 - -1)\/(-2). Is q less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.71 - -2.29. Which is the closest to 1? (a) r (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 82*c**5 + 19*c**3\/3 + c**2 + 1928*c. Find the second derivative of f(b) wrt b.\nAnswer: 9840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14841542?\nAnswer: 2, 107, 223, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281.374 or 55\/16?\nAnswer: -281.374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 + 27*b**2\/2 + 3*b - 47. Let a be y(27). Solve f + a*f = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 32*g**2 + 489*g - 1081. What is h(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751 is divided by 119?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 4*b**2 - 116*b - 431 - 428 + 860 as h*b**2 + q + k*b**3 + o*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 575, 1150, 1725, 2300, 2875, 3450?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23307 and 15538?\nAnswer: 46614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1386 + 1397.87. Round u to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 20301811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*g + 1010*g - 2169*g - 2 + 0.\nAnswer: -895*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 216 + 139 = 0. Suppose -w + z + 51 = 4*w, 5*w + 4*z = i. Let n be (-4)\/22 - 42\/w. What is the nearest to -0.1 in 1\/4, -2, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v + 182*v - 80*v.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - c**4 + 0*c**4 + (-2*c + 0*c + 0*c)*(1 - 1 + c**3) + c**4 + 2*c**4 - 4*c**4 + 2*c**4 + 2*c**4 - 2*c**4 - c - 5*c**4 - c**4 + 4*c**4.\nAnswer: -4*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18927*o**3 + 11*o**2 + 1779880.\nAnswer: -56781*o**2 + 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c - 128 = -58*c. What is the least common multiple of 6 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0.5 (b) 13 (c) -4 (d) -5\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**38\/(u**1*u*u**(-1\/7))*u**(2\/7)\/u*u**(-4)*((u**(-1\/9)*u)\/u*u*u)\/(u**4*u*u) assuming u is positive.\nAnswer: u**(1721\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -284485, -283905, -283325, -282745, -282165?\n\"Answer: 580*w - 285065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 566 divided by 1\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2629.53 + 2615. Let g = 0.47 - r. Let c = g + -15.000013. Round c to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -2\/29, -33\/31, 1.1, 0.1, -1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l**3 - 2\/5*l**5 + 0 + 2\/5*l - 4\/5*l**2 + 4\/5*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.52 + -1.52. Which is the closest to -4? (a) d (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*q - 2*r - 5, -3*r = -4*q - 1. Let p = -0.1 - 0.1. Let g = p - -0.2. Which is the third smallest value? (a) 1 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 + 136495*l + 6540240 = 0. What is l?\nAnswer: -27251, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:38 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*d - 259, 13 = 5*t - 7. Let v = d + -72. Solve g + 7 = 5*s, 5*g + 4*s = s + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 = 3*s - 9, -15 = -5*n. Sort 13.4, s, -0.2 in increasing order.\nAnswer: -0.2, s, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 15. Let h be (-3)\/(-1) - (-3 - -5 - q). Let z be 74\/14 + h + (-90)\/21. Solve -5 = z*w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 11, x: 1}. Give prob of sequence ss.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13003320130 (base 4) to base 10.\nAnswer: 1850908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 2\/9, 314, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -27.\nAnswer: 20\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1018 divide 192472242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:21 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 25\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 81*q - 53. Let g be v(-21). Solve -32*f + 22 + g = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2*(-5 - 0) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37 times -4565\nAnswer: -168905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) 4 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:21 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*n - 79 + 72 = 0, -3*n - 1 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 134. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -372929079 less than or equal to -372929079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/35 or 0.1?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22404 - 487*f**3 - 22404.\nAnswer: -487*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*v + 6*v + 15 = 0, -n + v + 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 95*q = -356 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3293925150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 55406495?\nAnswer: 4\/55406495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5797 at most -1449089\/250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 13*z + 13774443*z**4 - 13774452*z**4 - 3*z**2 + 3 + 0 as n*z**3 + s*z**2 + q*z**4 + r*z + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -31*g**4\/2 + 631*g**3\/6 - 10*g**2 + 8*g. What is the derivative of q(n) wrt n?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49996.3*-0.3\nAnswer: -14998.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yssy when four letters picked without replacement from yysyssyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzi when four letters picked without replacement from {z: 5, b: 5, i: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 126*y - 653170 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (52 - 15) + 7 + 9 + -9 + -7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45234?\nAnswer: 2, 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 40*s + 33. Let i be n(0). What is the greatest common factor of 495 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2005552 in descending order.\nAnswer: 5, 2, -2005552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*j**2 + 20 - 20)*(-3 - 4 - 2*j + 5).\nAnswer: 70*j**3 + 70*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 50 + -30 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5688185, 5688289, 5688393, 5688497, 5688601?\n\"Answer: 104*t + 5688081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 1732*a**2 + 10504*a + 14048.\nAnswer: -4*(a - 439)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(6 - 2 - 3)*(0 + 0 + 3*h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.709 + 0.009. Let y = 6.3 - 0.3. Let z = r + y. Which is bigger: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a factor of 71379593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39054225677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = -j, 16*j - 4*m + 7 = 13*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 2*f**4 - 5*f**4)*(1 + 4 - 6) + 177*f**3 + 388*f**4 - 177*f**3 + f**4 - 3*f**4 + 0*f**4.\nAnswer: 387*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:02 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 6.19. Let o = x - -32. Let c = o + -25.8. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -12021110122121122?\nAnswer: -12021110122121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/10 + r**4\/8 - 4*r**2. What is the units digit of z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46909 and 53741?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 3*k + 7. Let d be x(7). Suppose d - 19531 = -5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(704))**2*3.\nAnswer: 240*sqrt(11) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - 78. Let o = u - -13. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 o, 1 l, and 1 d when four letters picked without replacement from {d: 2, l: 2, y: 6, a: 3, o: 2, u: 3}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -3*(sqrt(475) + 0 + sqrt(475)) + sqrt(475) - -6*1*sqrt(475).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -260*i**4 + 15*i**3 + 12*i**2 - 645?\nAnswer: -6240*i + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*u = 8, -4*u + 20 = 5*i - 9*u. Let w be -4 + (-4 + i - -7). Suppose 6*c - c - 555 = w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/3 + z**4 + 17*z. What is the third derivative of v(l) wrt l?\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 + 9 = 2*k, d + 3*k = 13. What is the closest to d in 0.1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/70 + (-6304)\/14. What is the units digit of (4\/6)\/((-15)\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 128. Sort -3, 10, 3, g in decreasing order.\nAnswer: 10, g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/219177 - -527668\/4310481. What is the common denominator of -5\/531 and x?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5 - 6*g**2 - 5 + 2*g**2. Let j = -23 + 9. Let r(c) = 8*c - 7. Let k(a) = a - 1. Let h(v) = j*k(v) + 2*r(v). Give h(d(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 25*z - 291. Calculate g(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 4, l: 2, r: 1, c: 2}. What is prob of picking 1 d and 3 a?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8439115 micrometers?\nAnswer: 0.0000008439115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*k - 2749 - 1871 = -161*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4566, 9131, 13696?\n\"Answer: 4565*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 27*y**2 + 122*y + 66. What is the hundreds digit of k(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1419 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = u - t - 1, -5*u = 5*t + 45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/5631 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 564*x. Let p(i) = -38*i. What is p(n(g))?\nAnswer: -21432*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 44 = -3*j, -j + 4*v + 4 = 0. Let t be ((-3016)\/3 - 2)*(-18)\/j. Suppose 411 - t = -11*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*u - 7 + 143, 2*v + 5*u - 61 = 0. Suppose -v = -2*f - m, 0 = 2*m - 0*m - 6. Calculate the remainder when 29 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 24*t**2 - 54*t + 77. Give h(-27).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 114*v + 6037. Let m be h(-53). Let z be (-2 - -2) + 0 - -6. Let y be (-32)\/6 + (-4)\/z. Is m smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 695 + -582. Let t(o) = -110*o + 217*o - j*o. Let c(w) = 3*w**2. What is c(t(i))?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8540 and 11816920?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562496 is divided by 16071.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Let t be x + 1 - (-6 - -4). What is the third derivative of -a**2 - 9*a + 2*a + 7*a + 12*a**t wrt a?\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Let v = 0.7 + -0.68. Let z = 3.953 - -0.047. What is the third biggest value in v, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-1 + 5 - 2)*(-2*k + 2*k - 3*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldldgld. What is prob of sequence lg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1357 by 23.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 8*a**2 + 28*a + 80 = 0.\nAnswer: -10, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 230*i + 80. Let z be f(77). Solve -53 = -4*r - z*m - 22, 15 = 3*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (246\/(-4))\/(15*-2) and -81\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/876783 and -1\/69.\nAnswer: 876783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/621 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.77 - -0.27. Let s = w - -3.5. Let o = -9\/22 + -1\/11. Which is the smallest value? (a) 1\/3 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 609 and 862141?\nAnswer: 2586423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 16 = 4*t. Suppose 0 = -t*g + 20 - 12. Is g greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5289, 11767, 18245, 24723, 31201, 37679?\n\"Answer: 6478*j - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 1027*g + 42307. Give r(-43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*g - 252*g + 10569 + 71 = 590*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 32 = -5*p - 2*j, -3*p - 5*j = -14. Let y = 63 + -59. What is the third derivative of -9*u**2 - 3*u**5 + p*u**2 - y*u**5 wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:14 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592068871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20305 - -7?\nAnswer: 20313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 335996481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.02 to one dp.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-104)\/(8 - 16) + 2 + -2. What is the highest common divisor of 15899 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:16 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 650473 + -5?\nAnswer: 650469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 7*d + 6. Suppose 2*t + 7 = -4*b - 21, -3*t + 8 = -4*b. Is z(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by ((-6)\/(-9) + (-10)\/(-12))*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 352105104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48822 and 16590?\nAnswer: 1708770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -6.6, -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 12. Suppose 2*w = -w + 2*v, -5*v = 2*w - z. Suppose w*a - 7 + 1 = 0. Let h(c) = c**2 - c + 1. Calculate h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1076, -7896, -25806, -60158, -116304?\nAnswer: -199596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*d - 3*d = -14, -4*d - 12 = -2*p. Suppose 2*l - 5 + 13 = p*q, 3*q = l + 7. Solve -l*t - 4*g - 3 = -17, -3*t - 4*g = -15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*s - 54 = 0, 4*p - 2*s + 52 = 138. Suppose -3*a + 5 = -2*g + p, 5*a - 27 = -3*g. Let b = g - 4. Solve -b - 11 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46058 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + a?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 1\/4, -7\/2 in increasing order.\nAnswer: -16, -7\/2, -2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*a - 3*a + 2*a)*(31 - 19 - 10 - 7*a**2).\nAnswer: -7*a**3 - 14*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*k**5*r + 985816*k**3*r - 913*k*r + 9*r - 22 wrt k?\nAnswer: 320*k**3*r + 5914896*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 1. Let f = -19 - -23. Let s(q) be the second derivative of q**4\/4 - q**2 + q. Calculate f*s(n) + 7*g(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28886 by 22.\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2120 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {g: 8, d: 1, u: 3, o: 1, h: 2, s: 3}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106909148.31 plus 0.019?\nAnswer: 1106909148.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 23*f - 13. Let v(z) = -z**3 + 13*z**2 - 5*z - 106. Let o be v(12). Determine u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -8?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 20 = -4*b. Suppose 0 = -b*g + 3*k + 14, 5*g - 4*k = 12 + 5. What is the second derivative of 0*y + 4*y - 9*y**g - 6*y wrt y?\nAnswer: -180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 - 11821*y\/2 + 11819.\nAnswer: (y - 11819)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*h = 220, -11*r + 5*h = -6*r + 475. Let t be (-1 - 1)\/((-4)\/(-170)). Let n = t - r. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-635.266706\nAnswer: -635.366706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (-7 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3494 - -3494.0089705. Let c = p - 0.009. Round c to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 56, 86, 150, 260, 428, 666, 986?\n\"Answer: 2*u**3 - u**2 - 3*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 0 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219961*u**2 - 1876*u - 4.\nAnswer: -(469*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 + (5 - 1 - 1)*(2 + 0 - 1))*(-35*c + 28*c - 91*c).\nAnswer: -98*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 25 (c) 2\/11 (d) 0.4 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -64. Let f(d) = d**2 + 3*d. What is the least common multiple of 30 and f(h)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203410303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 11. Let t be p(11). Let i be t\/(-2) - 16\/(5 - 9). Suppose 0 = z - i*j + 5, -4*z + 9*z + j - 17 = 0. Let x(r) = -2*r - 1. Calculate x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -178, -12, 296, 740, 1314, 2012, 2828?\n\"Answer: -s**3 + 77*s**2 - 58*s - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((-16)\/(-96)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 20*z**2 + 167*z + 262. What is q(-5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/(-28))\/(12\/16) - (-3559)\/7 is divided by 90.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.05, -3\/8, -2\/3 in decreasing order.\nAnswer: 10, -0.05, -3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 12 = -5*n. Let m(f) = f**3 + f - 3. Let s be m(n). Suppose 5*o = 5*u - 370, -2*o - s = -3*u - 0*o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 808\/(-112) + (-4)\/14. Let j = -109\/4 - -679\/20. Let k = j + n. Which is the smallest value? (a) k (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 41 = 2*n. Let h be -4 + 0 + (33\/n - -2). Suppose 0*o - h*o**2 + 0 + 3\/4*o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 - 1 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11) - sqrt(176)))\/(-2*sqrt(128)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12566044 - 49952733\/4. Let x = c - 76900. Let z = -4793\/5 + x. Find the common denominator of 25\/22 and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143 - 10*w - 1 + 74*w + 4*w**2.\nAnswer: 4*(w - 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -5\/7, 5, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 - b**3 - 2*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**5\/35 + 3*r**4\/7 - 2*r**3\/21 - 24*r**2\/7 - 32*r\/7 - 3. Factor z(g).\nAnswer: -2*(g - 4)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 times -7702?\nAnswer: -14903370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12151315 + 1?\nAnswer: 12151316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12185382 and 4290?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7))\/c)**(-50)*c**(-14\/5)\/(c\/(c**(13\/2)*c)) assuming c is positive.\nAnswer: c**(3537\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))**(-6\/5))**(10\/9)*(g**0)**22*(g**(-3\/8)*g*g)\/(g*g**6) assuming g is positive.\nAnswer: g**(-193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t**3 - 5*t**2 - t + 4. Let q be d(4). Let o be (-1)\/((-10)\/3 - 3\/(-1))*215\/15. What is the greatest common divisor of o and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 63 - 18 = -15*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10111000101100011 (base 2) to base 14\nAnswer: -26667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.55\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 7*h**2 + 5*h + 4. Let z(b) = -4*b**3 + 8*b**2 - 6*b - 5. Give 6*n(c) + 5*z(c).\nAnswer: -2*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3\/5 + 4926*w**2\/5 - 4887*w\/5 - 59076\/5 = 0. What is w?\nAnswer: -3, 4, 1641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 1. Let i(p) = 17*p + 3. What is -4*i(x) - 11*t(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2484)\/(-324))\/((-2)\/86). Which is greater: -330 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2784601 * 0.09\nAnswer: 250614.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 3 + o**2 to the form b*o**2 + p*o + i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000100001011100010001 - -10?\nAnswer: 10101000100001011100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21166958, -21166938, -21166918?\nAnswer: -21166898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d + d**2 - d + d + 2*d**2 + (0*d + 0*d - d)*(-3 - d + 3) - 2 - 11*d**2 + 37*d - 41*d + 4 - d**2 + 4 - 4.\nAnswer: -8*d**2 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - ((-37 - -23) + 46)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 67) + (8 - 1 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*r**2*v + r**2 - 322*r*v wrt r?\nAnswer: 238*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23b7366 (base 12) to base 11\nAnswer: 3a23585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 857 + -858. Let k = -3 + 4. Which is the nearest to -1? (a) o (b) k (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty sevenths of a week in minutes?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 28\/(-8))*-32. Suppose -2*h - f = 38. List the prime factors of (-9)\/h - 14\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - c + 5. Let r be u(-5). Calculate the highest common divisor of 30 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 19*q**2 - q - 9. Let p = -7117 - -7098. Calculate w(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36727 times -3\nAnswer: 110181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 2)\/((-1)\/26). Let u be a\/50 - (-2)\/(-10). Suppose u*w = 8*w - 42. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9)*54\/(-60))\/((-8)\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-1344)\/(-80) + (-3 - (-32)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121649030\/837 + -5205084\/31. Let f = r - -22564. Let k = f - -2791\/108. Calculate the common denominator of -53\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -2\/13 (c) 2 (d) -0.1 (e) 12139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4032 = -5*t - 13*t. Suppose -3*x + 104 = c, -3*c + 64 = x - t. Let u = 158 - c. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 11, -39, 2, 4 in decreasing order.\nAnswer: 11, 4, 3, 2, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/7, -2\/9, 0.5, 13 in increasing order.\nAnswer: -2\/7, -2\/9, -1\/5, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 57*s - 1160 = 0. Let w = 395 - s. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362116793 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 81492, 163107, 244954, 327147, 409800?\n\"Answer: 19*d**3 + 2*d**2 + 81476*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + s = 7, 4*l + 4*s - 5*s = 23. Let h(r) = 10*r - 44. Let k be h(l). What is the greatest common divisor of 16 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40867129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -v - 8, 0 = -1444*c + 1439*c - 4*v + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 143 = w - u, 2*w - 12*u + 42 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31 = 4*t, 4*t - l = 2 + 11. Solve -3*s + 0*h - t*h - 5 = 0, s = -3*h - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 2146.\nAnswer: -6\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 258427502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10368 and 4285872?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32254561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74254 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 61. Let m be ((-52)\/(-6))\/(z\/(-6)). Which is greater: m or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 11 + 2381 + 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 1. Let h be o(1). Let u be 1*10 - (h + 0). Let f(k) = k**2 + 9*k - u*k. What is f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(16\/3))**(-33) assuming g is positive.\nAnswer: g**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1\/7, -2897?\nAnswer: -2897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -113, -165, -217, -269, -321?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-136))\/(-2 - 34\/(-16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61184 - 38*b - 61184.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2270 + 2302. What is the lowest common multiple of 80 and t?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {b: 1, l: 2, k: 4, m: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1418.6 - -3786.7. Let n = g - 1823. Let j = 612 - n. Round j to zero decimal places.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 8) + (2 - (2 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861 is divided by 1423.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 20 = -5*f, -o - 8 = 4*f - 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 - (-21216)\/15. Let i be 0 + 2 - (-2 + 0). Suppose 0 = 5*n + 2*d + 4510, u = -i*n + d - 2181. Round n to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -7*i + 7*i. Suppose -f + 15 + 129 = i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 11*b**2 - 22*b + 46. Let k be j(9). Let r(d) = 2*d - 3. Let w be r(3). Sort k, w, -3 in descending order.\nAnswer: k, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1504 (base 14) to base 15\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 10*f**2 - 2*f - 13. Suppose 0 = 5*r - 5*v + 75, 55 = -3*r + 24*v - 19*v. Calculate y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*(-320)\/8200?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -1, -8, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16 + 4 - 7*w - 10 - w**2. What is the remainder when 62 is divided by s(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005816414 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 - -206.9. What is the second smallest value in 2\/5, 0.2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b0 - 1b549?\nAnswer: -1ad99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f + 381 + 77 - 9*f - 963 - 1132 in the form g + n*f and give g.\nAnswer: -1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllhhlll. What is prob of sequence lh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 0 + 3*c - 1 + 4*c**2 + 2*c. Let l be m(4). Let q = l - 26. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12412 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - 265759497304 + 265759497304.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1077 + 121*r**2 + 1077)*(-5*r**2 + 0*r**2 + r**2) + (3*r + 0*r - 4*r)*(-r**3 - r**3 + 0*r**3).\nAnswer: -482*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18232 + 18232.5. What is the closest to 1 in 0.085, t, -3\/2, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 28*c + 18. Let n be m(5). Suppose 0 = 2*t + x - 3, -x - n*x = -t + 6. Solve t*y + 3 = h + 8, 0 = 3*y + h - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b**2 + 83. Let n(v) = 3*v. What is n(d(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0*x + 4 - 3*x + 2*x. Let m(d) = -13*d + 1. Let j(b) = -24*b + 2. Let w(k) = 6*j(k) - 11*m(k). What is q(c) - 3*w(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -560876*x - 1121739. Give n(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) + 1565\/(-1878) + (-124)\/40?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 - 3*y - 1. Let v(m) = m**3 - 7*m**2 + 5*m - 35. Let n be v(7). Let l(i) = 41*i + 6. Let c be l(n). Calculate z(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*0\/6)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 972*s**3 + 976*s**3 + 969*s**3 + 973*s**3 + 975*s**3 - 4867*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:22 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 24 + 6 = 9. Solve -11*b + 2*b = f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633723356 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 3*c**2 - c**2. Let i(m) = 10*m**2 + 37*m**2 + 29*m**2 - 101*m**2. Give i(b(k)).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 152. Solve 3*s = w, 6*c - c - 4*s = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -7 + -7 + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/2 - 4. Suppose 4 = j + 12. Let a be ((-12)\/j)\/(3\/2). Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7150)\/(-1040))\/((-30)\/((7 - 3)*-2))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:04 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -3) + -38 + 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:38 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:22 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (342\/45)\/((-2)\/(-10)). Suppose -w + 9 = r. Let x = 51 + r. Calculate the greatest common divisor of 88 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -93. Let f = a + -41. Let y be (-10)\/f*(17 + -15). Solve -y*q + 2*k = -29, 5*q + 2*k = -0*k + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/12))**(-7\/6))**20 assuming m is positive.\nAnswer: m**(-385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70385 - 42112. Let u(h) = 4*h + c - 28273. Let w(f) = 3*f. Calculate w(u(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**2 + 216*y + 14. What is the remainder when 166 is divided by g(27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -99 (b) 162 (c) -1 (d) -6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 198439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3223*k - 1979*k - 1667*k.\nAnswer: -423*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2 and -25\/7878?\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 1\/3, -5, -6824?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346.5457kg to grams.\nAnswer: 346545.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428 + -1711\/4. Let b be 4\/(-14) + 37\/7. Let r be -3 - (0 - 7) - 9. What is the nearest to z in r, b, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 3. Let m be t(2). Let f be (-4)\/30 + m\/(-3). Let x = 31\/45 + -1\/45. Which is the nearest to f? (a) x (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3460 and 51924220?\nAnswer: 51924220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*z\/(z*(z*z**(-4))\/z))\/(z\/(z*z*z\/z**(-2))*(z\/(z\/(z**(-6)*z*z))*z)\/z) assuming z is positive.\nAnswer: z**(130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 7, -9465 in descending order.\nAnswer: 7, -4, -12, -9465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtd. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -39*v**4 + v**3 - 3*v**2 + 14*v - 1. Let x(f) = -40*f**4 - 2*f**2 + 14*f. Let o(i) = 2*t(i) - 3*x(i). Find the second derivative of o(z) wrt z.\nAnswer: 504*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 42 = -31*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*r - 0*r. Let m = -20 + r. What is the least common multiple of m and (8\/2 - -2)*(-2)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-11)*x*(x\/((x\/x**(-30))\/x))\/x*((x\/(x\/(x*x**(1\/16))))\/x*x)**(2\/83))**(-1) assuming x is positive.\nAnswer: x**(11271\/664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*y - 34*y = 10530. Suppose -3*a = 5*n - 480, -15 = 2*a + a. Let i = y - n. Solve 2*d + 3*x + i = -x, -2*x - 5 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.049878 rounded to 2 dps?\nAnswer: -80.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6) + -5 + (-1 - -9) - (-14 + 92)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.0058 - -0.0058. Which is the third smallest value? (a) l (b) 2\/17 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01266759559 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 9185930?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2607*o**3 - 5*o**2 - 11*o + 1. Let y be p(9). Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31170 - 0?\nAnswer: 31170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2238 or -76763?\nAnswer: 2238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 6*w**2 - 1716*w**4 + 1 + 1706*w**4 in the form k*w**3 + i*w**2 + y + s*w + a*w**4 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 300. Suppose d = -m + 6*m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from iqkqiiqqeqqiqiqqqqqq?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p + 80*p - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 52. Let s be j(-12). Find the common denominator of 1\/14 and (-335)\/s - 1 - 1\/(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218*-18\nAnswer: -3924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:21 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -495 - v**2 + 509 + 2*v**2 + (5*v - 2*v - 2*v)*(v + 1 - 1).\nAnswer: 2*v**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/250*88\/385)\/(2\/(-5))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 26 = 4*v + 2, v = 5. Suppose 2*w - 156 + 38 = -z*y, 4*w + 2*y - 254 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 721197.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 9*d**2 - 13*d - 4. Let k(u) = -u**3 + 2*u**2 - 3*u - 1. Let m(x) = 9*k(x) - 2*q(x). Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 4*b + 4*d + 109, 11*d + 75 = -5*b + 8*d for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s - 6, s + 84 = -2*n. List the prime factors of (n - 66)\/((-1)\/4).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3287654*-4\nAnswer: -13150616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2*h + 7 - h**3 + 2*h**2 - 8 to the form m + p*h**3 + z*h + i*h**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 36*b**2 + 44*b - 12. Give z(-35).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + 5*z. Let j(a) be the third derivative of -a**6\/120 + a**5\/15 - a**4\/6 - 12*a**2. What is -4*b(c) - 5*j(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/(g**(-32)*g)))\/g)\/g)\/g**(2\/5) assuming g is positive.\nAnswer: g**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7*n - 10*n - 4 = 0, -6*n = 5*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369.\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.96 + -0.04. Let q = 0.26 - 0.06. Which is the second smallest value? (a) u (b) -6\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 6*v - 10. Suppose -5*r - 2 - 3 = 0. What is the tens digit of 6\/(-3) + r - v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5756? (a) 270 (b) -3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 1.99. Is w at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422520 + 422520 + 4864*s**2.\nAnswer: 4864*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-36)*c*c**(2\/13)*c*(c**28*c)**(-5\/9) assuming c is positive.\nAnswer: c**(-5728\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2996\/(-1746) - (8 - 10). Let d = r + -6\/97. Let m = 1.1 + -1.3. Which is the third biggest value? (a) m (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 - c + 2. Let p be s(5). Suppose -7*k + 3*k + 16 = 0. Suppose -k*o = -35 - 1. Calculate the highest common factor of o and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -40382115?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 111*v**3 - 303*v**2 + 9*v - 62. Let q(o) = 28*o**3 - 76*o**2 + 2*o - 14. What is -2*k(n) + 9*q(n)?\nAnswer: 30*n**3 - 78*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1) - (-10 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*(-490)\/(560\/(-16)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620 - (-48)\/(-42)*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4, -5*t - 5*g + 1 + 4 = 0. Solve -4*n = -y - t*n + 3, -n - 6 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/((-3)\/4). Suppose -2 = k*t - 2*r + 2, 0 = r - 5. Solve 4*z + t = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 6 = 15*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 856620 and 1085052.\nAnswer: 16275780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-1)\/(-36). Let v = 2.852 + 0.148. Let g = 0.1 - 0. Sort g, z, v.\nAnswer: g, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(504) + sqrt(504)*-1*-6)\/((-3*sqrt(7)*-1 - sqrt(70)\/sqrt(160))*-2).\nAnswer: -192*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -15\/7, 0.2, 11\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035635 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/(-20))\/7)\/(195\/40).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 12. Let o be i(-14). What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -14 + 2*f + 5 - 16. Let r be z(13). What is the closest to 1 in r, 5, 1.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/20 - (-62)\/10. Let l = p + -2. Suppose -2 = -5*b - t + 10, 15 = b - l*t. What is the remainder when 9 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3829991680.\nAnswer: 2, 5, 347, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 9\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 1 m when three letters picked without replacement from {m: 1, z: 2, w: 2, i: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**2 - 1\/6*m**7 + 0*m**4 + 7\/6*m**3 - m + 0*m**5 + 0*m**6 + 0. What is the second derivative of k(i) wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18 - -9057 - -15 - -10*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m + 15. Suppose -5*v + 12 = -m. What is the remainder when 55 is divided by v + -6 + 1 - -21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065 and -6.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 14*a**2 - 52*a - 341. Give b(-11).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -x + 2*x. Suppose -2*w = -3*c - x*w - 36, 3*c - 3*w + 12 = 0. Is (-37)\/c + 4\/(-14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31380, 62754, 94138, 125538, 156960?\n\"Answer: l**3 - l**2 + 31370*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*m = -100*m + 4750 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -310. Let d be n\/(-4) - (-4)\/8. Solve -3*m - 4 + d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*g - 37 = 0, -40 = 4*h + 2*g - 12. Let v(l) = 2*l + 10. Let r be v(h). Solve -4*y = -5*n - 32, 0 = -5*n - 5*y - r*y - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34d60 - -2?\nAnswer: 34d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 - 11*k - 2. Let a be x(4). Suppose -26*w + 27*w - a = 0. What is the tens digit of 136 - ((-2 - w) + (-1 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1224 + -871. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-92)\/(-5152)*4*4. Solve -s*y**2 + 8\/7*y + 0 = 0 for y.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + 12\/((-7632)\/(-4044)) and 23\/4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/132 + 17 - 5\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.19, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 65 = 7*t. Let z = t + 29. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792936 to the power of 1\/2, to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*g + 188*g - 2 - 450*g + 189*g to w*g + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4607 and 816?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 409.3.\nAnswer: 2046.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -8.25 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -23\/2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 129*f**2 + 110*f + 2308. Calculate v(128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -658 (b) 0.2 (c) -171 (d) 11 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -15 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0278383343 - -15510.\nAnswer: 15510.0278383343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - 4*v - 2. Let s be p(-2). Suppose c - 3*r = -s*r + 2, -8 = -c + 3*r. Let x be ((-6)\/(-15))\/(c\/(-5)). Solve 2*y + x + 8 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.993071 + -8.948968685. Let r = 0.0441 - f. What is r rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 7. Determine s(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 55*k**2 + 25*k - 44. Calculate h(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53024260 and 42419408?\nAnswer: 212097040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2749802821 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(70) - -2*sqrt(70))*-4 + sqrt(70))\/(1*sqrt(640)) + (sqrt(56)\/sqrt(8) + -1 - (sqrt(448) + 5)) + -4)**2.\nAnswer: -25*sqrt(7) + 1775\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1623 and 101\/2164.\nAnswer: 6492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 15*c**2 - 21*c + 7. Determine q(-14).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r - 331. Let k be j(16). Which is the third smallest value? (a) 1\/7 (b) k (c) 1\/2 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:15 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*j - 25, -2403*q = -2409*q + 3*j + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15275 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 85*v + 63. Let j be d(-29). Solve -r - 6*b + b + 7 = 0, 2*r - 4 = -j*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqe when four letters picked without replacement from euyqequuuqq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(11 - 9 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 8*q**2 + 4*q - 6. Let b = 7 + 4. Calculate the remainder when x(-6) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692594071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120861*a**3 + 107732*a**3 + 330530*a**3.\nAnswer: 559123*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 6. Suppose -q + 10 = 2*c, j*c + q - 11 = 3. Suppose -3*p = -9, -5*y + c*p = -0*y - 793. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 - 21*x**2 - 12*x + 36 = 0. What is x?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - (10 - 4)) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, -23, -258, -763, -1628, -2943, -4798?\n\"Answer: -15*c**3 + 50*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = -3*p - 4, -2 = -4*l - 2*p. Solve 0 = -l*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.658.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y + 53*y - 109*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9*13\/(-156)*(-1000)\/(-225)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Let p = 46 - 45. Is t at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*d**2 + 2*d + 143*d**2 - 8 - 274*d**2)*(-4*d**2 + d**2 + 17*d**2).\nAnswer: 84*d**4 + 28*d**3 - 112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 + g**2\/2 + 6*g + 1. What is the remainder when m(0) is divided by 24\/(-42)*(1 + -3 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-26)\/52*14*2\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4441101 is divided by 74018?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 38, 51, 60, 65, 66, 63?\n\"Answer: -2*h**2 + 23*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 172. Let c = b - -167. What is the second smallest value in 0.4, 4, -4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u + 190. Let y be w(9). Solve y*l + 71 = -13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {o: 2, b: 2, h: 7, z: 1, k: 1, l: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 + 10*s + 7. Suppose -4*g - 5*k = -161 + 38, 3*k = 9. Let x = -18 + g. Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -97*v - 15506. Determine i(-160).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.153 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/19460 and -19\/109018812.\nAnswer: 545094060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 9*d + 283 = 187, -k + 3*k + 5*d - 3*d = -26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97033 + 275167. Round u to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, 28 in descending order.\nAnswer: 28, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 1002 = 982 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 2\/162605, 1 in descending order.\nAnswer: 1, 0.4, 2\/162605, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1020, 1050, 1108, 1206, 1356, 1570, 1860?\n\"Answer: 2*n**3 + 2*n**2 + 10*n + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 53\/(-53)*0\/2. Let q be (6 - 3) + -7 + 176\/40. Factor -4\/5*j + q*j**2 + a.\nAnswer: 2*j*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - sqrt(66)*-1)*6 - sqrt(66) - sqrt(66))\/(sqrt(240)\/sqrt(10) - sqrt(6)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 51, 107, 197, 333?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + 5*v, -2 + 7 = 3*u - 2*v. Solve 5*m - 4*r = u, 2*m + 5*r - 2 = -0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let v(s) = -2*s**2 - 228*s - 3609. Let u be v(-19). What is the third biggest value in -5, u, k, 42?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, a: 5, y: 2, j: 3}. What is prob of picking 1 j and 3 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 9*u. Let v(r) be the second derivative of r**5\/30 - 153*r**2\/2 + 30*r. Let x(p) be the first derivative of v(p). Calculate x(b(k)).\nAnswer: 2*k**4 - 36*k**3 + 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2048.9, 11, 3, 4 in increasing order.\nAnswer: -2048.9, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -227, -316, -409, -506, -607, -712?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 755*d - 24. Let k(g) = 377*g - 10. Determine 7*k(q) - 3*z(q).\nAnswer: 374*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45\/389 - 21259\/197223. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 13. What is the greatest common divisor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227316191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 - (-2 + -1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 729.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 61*n**2 + 508*n - 20. Determine g(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -3*w**5\/20 + w**4\/6 - 4*w. What is the third derivative of r(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Let r = -15 + 14.8. Let u = 1.2 + r. Which is the third biggest value? (a) z (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -572930, -1145876, -1718820, -2291762, -2864702, -3437640, -4010576?\n\"Answer: v**2 - 572949*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1804 - -1803.9. Which is the closest to n? (a) -14 (b) -0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175, -347, -515, -679, -839, -995, -1147?\n\"Answer: 2*y**2 - 178*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1181\/37 + -32. Which is the second smallest value? (a) 1\/2 (b) -4\/7 (c) -0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2222033 (base 4) to base 6\nAnswer: -122235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 12}. What is prob of picking 1 x and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0. Let f = 0.24 + 9.76. Let q = f - 13. Sort 1, q, k in decreasing order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/12)\/(6\/(-63))*60.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 - (-9 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -4. Let m = -30 + f. What is the lowest common multiple of (m\/(-10))\/(1\/5) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/(c\/(c\/(c\/(c\/(c*(c\/(c*(c\/c**3)\/c*c))\/c)*c))))))\/c*c*c)\/(c\/(c\/c**0))*c\/(c**(-3)\/c*c*c)*c*(c\/(c**1\/c))\/c assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 1 + 12*b - 14*b - 7*b - 5*b**2. Determine f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57734 * 0.23\nAnswer: 13278.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*p - 105, -86 = 5*n - 4*p + 16. Let x = n - -23. Solve -12*o = -7*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n)*(-3*n**2 - n**2 + 5*n**2) + (-2*n**3 + 0*n**3 + 0*n**3)*(3 - 1 + 0) + n**3 - 5*n**3 + 3*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 433 = 5*f + 428, -5*f = -3*i + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(3*r + 2*r - 4*r) + 28*r + 12 - 12 to the form n + g*r and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 32 - 32.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 656*d*u**2 - 244*d + 149*u**2 - 7*u + 25268 wrt u?\nAnswer: 1312*d*u + 298*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 46090762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m + 1. Let q(l) = 22*l + 2. Let g be (-1*(-1 + 3 + -1))\/(2\/12). What is g*q(x) + 11*v(x)?\nAnswer: -11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, x: 8, n: 4}. What is prob of sequence nxnn?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295288266 and 2652.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfxybaxb. Give prob of picking 1 y, 1 b, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100221011112 + -2?\nAnswer: -10100221011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282808 and 736.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + 3564\/(-600) - -10 and 61\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjfqjjffjdfjqq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2767 + 2767.5. Let l = -2 + 2. Let f be l - -5*1\/(-4). What is the smallest value in 1\/3, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)\/b*b\/(b*b**(-1\/15))*b\/(((b\/((b\/(b**(-13)\/b*b))\/b))\/b)\/b)*b**9)**(2\/81) assuming b is positive.\nAnswer: b**(1429\/2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -47. Which is bigger: j or -0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6509.88 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909077503 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701261 + 4836393 + 5329832 = 114*g. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29367 by -3.\nAnswer: -9789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 165*g + 405. Let l be r(80). Solve 0*w = -3*w, l = x - 2*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015595092 rounded to seven decimal places?\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54316356, -54316348, -54316340, -54316332, -54316324?\n\"Answer: 8*q - 54316364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309635 divided by 5.\nAnswer: 61927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 12\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.16385ng to milligrams.\nAnswer: 0.00001316385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 151156 - 3?\nAnswer: 151153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/5 - 11*k**4 + 1787*k**3\/5 - 3273*k**2 + 53514*k\/5 - 7776 = 0 for k.\nAnswer: -80, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197396257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/25 and 17\/1533.\nAnswer: 38325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 7\/6*i**3 + 0 - 5*i + 7\/2*i**2. Let p(f) = 8*f + 8. What is 5*p(q) - 6*v(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, 0.3, -3, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(2 + 2 - 2) + 5 + 2 - 5 + 4 - 4 + 1 - 77 - 505 - 232 - 3 + 7 - 3)*(0*n - n + 3*n).\nAnswer: -1612*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let g(s) = -3*s + 14*s + s. Let l be g(-1). Is 8 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from iiijiiiiiiiiiiiiii?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -38, -50, -66, -86?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1043 + -3?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -59*p**3 - 103*p**2 - 3. Let k(s) = 116*s**3 + 206*s**2 + 5. Let v(i) = 3*k(i) + 5*z(i). What is the third derivative of v(b) wrt b?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 47, 3 in descending order.\nAnswer: 109, 47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a + 79 + 128 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 82 - 7 = 0. Suppose -6*q + q = -k. Solve -5*j = -q*u + 37, j - 1 = -6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from igoggiogb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 672*j - 4557.\nAnswer: -3*(j - 217)*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 12759, 455\/11, 0.2?\nAnswer: 455\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*h + 170*h - 69*h - 8*h)*(0*h - 5*h + h)*(0 - 1 + 2).\nAnswer: -1040*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/(0 - 2). Suppose -2*l = 5*l. Let v be 1*(-1 + 0)*l. Solve -f*t - 2*t + 16 = v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3329 or -3320?\nAnswer: -3320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416 by -52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -24 + 43 + -17 + (-35 - 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 4*m**4\/3 - m**2. Suppose -2*c + 9 = -19. Let d(z) = c*z - 13*z - 3 + 3. Calculate t(d(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4811, -1\/5, 1, 249, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -523. Let y = j + -343. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 - f. Let h be c(1). Solve -2*i = -h*s - 2, s - 3*i + 3 = 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 2*t - 2. What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -34*j + 43*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 14. Let j be f(-9). Suppose 3*p - 8 = s, 0*p + 2*p + j*s = 11. What are the prime factors of (p - -18 - -3) + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:55 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198 - 200. Put j, -4\/3, -1.9 in increasing order.\nAnswer: j, -1.9, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2794.\nAnswer: 22352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14788834.\nAnswer: 2, 7394417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433740 is divided by 155?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*k = -0*a + 14, 0 = 3*a - 4*k - 35. Suppose 0 = -3*l - a + 30. Let 2*c - 8 - 2*c**2 - 6*c - l*c + 3*c = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {t: 3, r: 2, l: 1, q: 2, g: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 5*r - 455 + 475 = 0, -8 = -l - r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (7 - 7 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -20 + 50 + -31?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**(-24)*r**(2\/11)*r*r*r**3*r*r assuming r is positive.\nAnswer: r**(1663\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 8*l**2 + 12*l + 9. Calculate i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**3\/3 - 10*k**2 + 21*k - 6. Give y(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122002 + 0?\nAnswer: -122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -22*t + 5*u + 7, -10 = -2*u. Calculate the least common multiple of 88 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -136*a**2 + 11*a - 1881. Let d(b) = 27*b**2 - 2*b + 376. Let p(f) = -2*c(f) - 11*d(f). Differentiate p(i) wrt i.\nAnswer: -50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((-2)\/(-30)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose -p*f + 20 + 20 = 0. Suppose 0 = 4*k - 5*k + f. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*d*l**2 + 24*a**3*l**3 + a**3 - 3*a**2*l + 2*a*d*l**3 + 6*a*l**2 wrt l?\nAnswer: 144*a**3 + 12*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60.1 + 60. Which is the smallest value? (a) l (b) -0.2 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -115. Suppose 2*x + 14 = z. Suppose -3*h = h - x. Calculate the lowest common multiple of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -8. Let h be 1 + f + 0 - 1. Let c(w) = w + 4. Give c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 + 2. Let v be k(2). Let g(m) = m**3 + 3*m**2 - 2*m - 3. Let z be g(0). Put -69, z, v in ascending order.\nAnswer: -69, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) -42 (c) 364 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -1e84?\nAnswer: 1e8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1546 - -1550. Solve -2*h + 10 = 3*j, 0*h - j + 20 = f*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1410 and 10?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -262 from -4.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 91. Let x = -9 + 7. Let i = 4.3 - 2.3. What is the closest to -3 in x, i, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - o**2 + (2*o - 3*o - 2*o)*(-4*o - 2*o + 0*o) + 7*o**2 + 7 - 9*o**2 - 4.\nAnswer: 15*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/15 + 1377*(-8)\/(-60)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4940*p**5 + 950*p + 5*p**2 + 3057*p + 4966*p**5 wrt p.\nAnswer: 520*p**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -57. Let n = d + -31. Suppose -2*g = -2*p - n, p - 10 = -6*g + 4*g. What is the highest common factor of 56 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.8 - 12. Let t = 246 - 239. Let p = t - d. Which is the second smallest value? (a) -2 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 19. Let a be b(12). Suppose -3*r - 2*m + 3 + 18 = 0, 0 = 2*r - m - a. Let l = 38 - 35. Solve r*j + 7 = -l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906052 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6110.999991431 + -6111. Round q to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*b**3 - 3444 + b + 3444 + 3000*b**3.\nAnswer: 3243*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + -3*(sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + 1))) + sqrt(432) + sqrt(432) + 1*sqrt(432) + -4 + 1 + sqrt(432) + -1 + 0)**2.\nAnswer: 288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*g**2*i**2 + 10*g**2*x - 835497*i**3*x + 49452*i**3 + 4*i*x wrt x?\nAnswer: 10*g**2 - 835497*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)*t*t**5*t)\/(t**(-2))**(-50) assuming t is positive.\nAnswer: t**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72, 141, 222, 321, 444, 597, 786, 1017?\n\"Answer: u**3 + 62*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4908 is divided by 4908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x\/x**12)\/x)\/x*x*x**(-1\/11)\/x)\/(x**19*(x*x\/x**17)\/x) assuming x is positive.\nAnswer: x**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3357883 <= -3357883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 12*d + 11. What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/110 - -23\/110. What is the nearest to 2\/7 in 2\/7, 4, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 168, 125, 54, -51?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113594 times 6?\nAnswer: -681564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 - -0.349?\nAnswer: -527.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1416 - -1416. Solve 2*i = -r*i + 4, -5 = 5*f + 5*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 + 47*q\/5 - 132\/5.\nAnswer: -(q - 44)*(q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 2. Let d be l(-1). Let f(i) = -17*i - 8. Let p(s) = 50*s + 23. Let t(a) = -17*f(a) - 6*p(a). Let w(g) = -5*g - 1. Give d*t(y) - 7*w(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 6}. What is prob of sequence yryr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 205 = 68*s + 47. Let t = -4 + -2. Sort s, -5, t.\nAnswer: t, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 5. Is 61\/(4*d\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030977 rounded to 4 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 1. Let l be a(-4). Let h be (-3)\/3 + 18*l. Suppose -5*x = -0*x - m - h, 3*m - 9 = 0. Solve -g + x = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13c0 - 33?\nAnswer: 138c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19050 - 19050. Let n = 0.4 + 0. Which is the closest to 0? (a) n (b) 1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0 - j**4 - j**4 - j**2 - j**3 - 2 + 3*j**3. Let q(f) = f**4 + f**3 - f**2 - 1. Let k(z) = -o(z) + 2*q(z). Find the third derivative of k(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623111 (base 7) to base 12.\nAnswer: 51922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/30*((-56)\/(-96))\/7.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, 106524 in ascending order.\nAnswer: -5, 17, 106524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.112696 milligrams to kilograms.\nAnswer: 0.000004112696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242) + -5 - sqrt(242))**2 + sqrt(242) + -4 + (sqrt(12) + (sqrt(108)*-1 - sqrt(108) - sqrt(108)))\/(sqrt(726) - sqrt(726)*-2).\nAnswer: 12 + 355*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14796 - 9554. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 + 3*x**2 - x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u**2 + 31*u + 13. Let a(f) = -5*f**2 + 15*f + 7. Let g(z) = 5*a(z) - 2*w(z). Calculate g(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14.4? (a) -0.5 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**6\/180 - 17*k**4\/3 - 2*k - 6. Let f(v) be the third derivative of d(v). Let p(z) = -8*z**2. What is p(f(r))?\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-18) + 0)*351\/12 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(78)\/(sqrt(12) - sqrt(3)))\/((sqrt(108)*1)\/sqrt(6)))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from wrzrwrjwzrrrrljw?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -906*c**3 - 304*c**2*x - 7185003*c*x + c wrt c?\nAnswer: -5436*c - 608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479 is divided by 87.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 35*p + 4*g - 81, 18*p - 5*p + 3*g + 13 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 5, a: 4}. What is prob of sequence ec?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*t + 10 = 0, 3*k - 5 = -10*t + 11*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467 = -5*y - 452. Suppose 3*k = 4*k - 128. Let p = y - k. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (0 - -1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58811706*k**5 - 3603402*k**2?\nAnswer: 3528702360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 43, 130, 307, 604?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 179910214 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555\/210 - (-2)\/(-14).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*l - 20 - 0, 3*d = -l + 12. Suppose 4*c + 69 = 7*c - 3*g, -2*c + g + 43 = 0. Solve -3*w - 2*n + c = 0, 0 = 8*w - d*w + 3*n - 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 + 25*n**2 - 65*n + 35 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -5, 0, -2\/2491?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 + h**3 + h + 3*h**2 + 7*h**2 - 3*h. Let l be t(-1). Solve l = 2*f - 2*g - 8, 4*f + 0*g + 3*g - 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91) + (sqrt(91)*1 - sqrt(91)))*-6 + 5*sqrt(91)*-1)\/(5*sqrt(42)\/(sqrt(6)*-4)).\nAnswer: 68*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 14) in base 3?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2435 - 21916\/9. Let t be 3 - ((-7)\/3)\/(-1). Let u = 7 - 10. Which is the closest to f? (a) u (b) -1\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 459.784447 and 8664.\nAnswer: 9123.784447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -1 + 21, -5*x = 4*u - 204. What is the greatest common factor of u and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 13, 2, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 plus -377004?\nAnswer: -375751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8346264 and 93\/1708.\nAnswer: 58423848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7614 and 23.\nAnswer: 63.5122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1852 - 4691 + 2301)*(p + 0*p - 2*p) in the form b*p + w and give b.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 - 4*r**2 - 4*r - 4. Let n be p(4). Suppose 9 - 4 = b. Suppose b*w = n + 12. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 - -2.388. Let s = q + -7.188. What is s rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2 + 2 - 1\/2*k**4 + 0*k**3 + 0*k. What is the second derivative of l(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w**3 + 99936*w**2 + 299862*w\/7 + 4590 = 0.\nAnswer: -3\/14, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3520 and 443080?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 15*w - 4*p + 68148, 2*p + 6 = 0. Suppose 0 = -675*f + 681*f + w. What is f rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**(2\/89)*l*l**(5\/4)*l**(-1\/5))\/(l\/(l**(-6)*l)*l**(3\/8))**(3\/10) assuming l is positive.\nAnswer: l**(6533\/49840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -45*t**3 + t**2 + t + 1. Let q be d(-1). Suppose 151 - q = 5*s. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 65*v - 65*v.\nAnswer: -130*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2337?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.124675 to three dps.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*q**3 - p**3*q**2 + 13*p**3*q + p*q + 4*q**3 wrt q?\nAnswer: -18*p**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, 47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4194*k**3 + 17*k + 580?\nAnswer: 25164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 12*h**2 - 32*h + 89. Let s be f(9). Let i be 3 - (40\/22 + (-8)\/(-44)). Let w be (-30)\/(-9) - 2\/(-3). Put s, w, i in increasing order.\nAnswer: i, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.875 - -0.125. Let z = s + -93. Let y = 11 + z. Which is the smallest value? (a) -2\/5 (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20792\/9 - 2310. What is the third biggest value in b, 60, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2517*l - 15859. Calculate q(6).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = -14*r, 5*n = -2*r + 215 - 230 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -98.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34287 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkoqo. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 2. What is the tens digit of -1 + 1\/1 - u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let v be (-3 - o) + 124 + -2. Let c be v\/28 - 4\/14. Solve 0 = -4*q, f = 4*f + c*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.097 (b) -0.2 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) - (37 - 37)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563 divided by 11774.\nAnswer: -563\/11774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 443837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2\/9, -0.4, 9\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**8*(x\/x**1)\/x*x*x**6)\/((x\/(x*x*x**(1\/3)))**(-36)\/(x*x**(-1\/3)*x)**(1\/5)) assuming x is positive.\nAnswer: x**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eun when three letters picked without replacement from {u: 1, t: 1, e: 1, a: 2, n: 1, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 6 - 6)*(0 - 4 + 2).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21218 and 618.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522789 is divided by 5110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70177821*o + 57*o**3 + 69*o**3 + 70177821*o.\nAnswer: 126*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -2*q, -2*q = -0*q - 4*b - 50. Suppose 252*d + 325*d = 133*d + 3996. What is the smallest common multiple of q and d?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 40027?\nAnswer: 40027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12690 is divided by 6330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3005 - 1830. What are the prime factors of d?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2147 - 2147. Solve c = -35*i - 9 + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*15505.\nAnswer: -35661.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10250*c**3 + 155*c**2 + 95. Let p(s) = -854*s**3 - 13*s**2 - 8. Let v(t) = 2*g(t) + 25*p(t). What is the third derivative of v(h) wrt h?\nAnswer: -5100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2081*l - 16217. Give o(8).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d - 5\/18*d**4 + 1\/540*d**6 - 1\/20*d**5 + 4\/3*d**3 - 27*d**2 + 0. Let q(p) be the first derivative of v(p). Factor q(b).\nAnswer: 2*(b - 10)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84d + 30?\nAnswer: 87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -784*n**2 - 49*n + 78 = 0.\nAnswer: -39\/112, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/4 - 13*h**3\/6 - h**2\/2 + 15*h. Let b be y(-10). Let n = -272 + b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 3 (c) 1 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7646759, 7646758, 7646757?\n\"Answer: -m + 7646760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 13*b + 3 = 0, 2*b = 3*c - 17. Let a(y) = 2*y**3 - 14*y**2 + 13*y - 17. Let v be a(c). Is -52 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114954067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(55))\/((sqrt(88) + (sqrt(88) - -2*sqrt(88)) + sqrt(88))\/sqrt(8)).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.501 kilometers?\nAnswer: 6501000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5 + 4. Let z = 0.5 - b. Let v = 1.00096 - z. What is v rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160\/(-774)*(-3)\/(-5)*106\/8?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22688540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1723274 and 0.1?\nAnswer: 172327.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/9 - -2)\/((-3)\/9). Solve 0 = l*w + 5*u - 13, -2*w + 2*u - 7 = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80439051, 160878100, 241317159, 321756234, 402195331, 482634456, 563073615, 643512814?\nAnswer: 723952059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35762?\nAnswer: 2, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -2\/3 (c) -405 (d) -142 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiidiiiddoodd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/360 + z**3\/3 + 3*z**2. Let l(t) be the first derivative of v(t). Let q(n) = 4*n**2. Calculate l(q(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*r - 16, -2*r - 6 = -2*c + 3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/6*7\/(-70)*12. Let b(k) = 2*k**3 - 2*k**2 - 3*k - 3. Let p be b(3). Calculate the highest common divisor of p and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2*4)\/(38\/304*16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -375 + 10?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/21)\/(1\/(-3)). Suppose 0 = z*b - 0*b - 4. Suppose 0 = 3*l - 3*s - 525, 2*s - 49 = -b*l + 317. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*j*l**3*z + 37*j*l - 3*j*z - 3*j - 10*l**4 - 6*z - 120 wrt l.\nAnswer: 255*j*l**2*z + 37*j - 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 38, 119, 274, 527, 902, 1423, 2114?\nAnswer: 2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 455.328 days?\nAnswer: 39340339.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14154914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-15) + -1)\/((-1)\/30). Let r = 19 + w. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4701 - -4725. What is the remainder when 479 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56028, -224008, -503986, -895974, -1399984, -2016028, -2744118?\nAnswer: -3584266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 27 = -3*z, -4*f + 40 = -4*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = -s + 30. What is the closest to s in -3\/2, -0.1, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 523200?\nAnswer: 5755200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278227023.\nAnswer: 3, 101, 757, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-3)\/6 + (-84)\/(-21). Sort y, 0, -2.\nAnswer: -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155901767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -13*g - 22. Which is the closest to g? (a) 32 (b) 1\/4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/680)\/((-2)\/72*1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 983 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/21 + 311\/420. Let o(v) be the second derivative of 13*v + 0 + 0*v**3 + 1\/3*v**4 + m*v**5 + 0*v**2. What is the third derivative of o(u) wrt u?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + -111. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-140))\/((-8)\/(-20)) + (-10013)\/(-663) + -16.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/118, 1, -0.4?\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(117) - (sqrt(117) + -1))*-3 - sqrt(117) - (sqrt(117) - (-2*sqrt(117) + 0)))*-1)**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1574994 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2137*a + 30069 + 55719 - 26608 = -553*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 72, -3, -6 in ascending order.\nAnswer: -6, -4, -3, 0, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 16*g - 68. Give p(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*w - 347 + 279. Which is the smallest value? (a) 0.1 (b) w (c) -3 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545772 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3472, -3468, -3460, -3448, -3432, -3412, -3388?\nAnswer: -3360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -41. Calculate the least common multiple of q and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*q + 10 = -3*z, 13 = 4*z - q. Suppose -g + 5 = z. Is g at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -13 - (1 + 4) - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o**3 - 2*o**2 - o. Suppose -5*i = -2*i + 3. Let t(g) = g**3 - g**2 - g + 47. What is the remainder when t(0) is divided by h(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 2*l = 12. Which is the closest to l? (a) 4 (b) 2\/5 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*b = -96, 2*d - b = -0*d - 45. Let h(q) = -4*q + 26. Let j be h(12). Do j and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2572068 (base 9) to base 7\nAnswer: 14642612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167131213*u**3 + 2*u**2 - 71*u - 126384 wrt u.\nAnswer: -1002787278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10005 divided by -345.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*b - 428 - 4 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -444941860 divided by -46915?\nAnswer: 9484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/15*68\/204.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(20 + x - 20).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 415 and 9711.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/7890 and 61\/7429750.\nAnswer: 22289250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d8b90 (base 14) to base 11.\nAnswer: -328469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 times 6?\nAnswer: 6948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 525038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 11*l**2 + 13*l + 9. Let y be x(-12). Let c be (15\/(-2))\/(y*(-6)\/(-36)). Which is smaller: c or 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 2*y**3 + 109 - 76*y**2 - 223 + 116 to the form i + b*y + z*y**3 + f*y**2 and give f.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*b = -4, -4*r + 6 = 5*b + 30. Let i be (-48)\/(-33) - (r - -3). Let w = 1434 - 1435. Is i bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 = 44. Let v be 792\/(-20)*10\/(-4). Calculate the highest common factor of b and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 240*l**2 + 288*l - 20*l**4 - 10*l**4 + 34*l**4 - 25*l**3 + 81*l**3.\nAnswer: 4*l*(l + 2)*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -9 + 52 + -7 - 5) + 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-14\/3))**(1\/5))**(-27))**(4\/17) assuming u is positive.\nAnswer: u**(504\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*k**2 + 445*k**3 - 227*k**2.\nAnswer: 445*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:22 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25438252 and 4116.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/422 and 23\/1568950.\nAnswer: 331048450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 2, u: 4}. What is prob of sequence kvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 + -1 - 3\/(-1). Is r\/5*1\/(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 12, j: 1, y: 4}. What is prob of picking 2 o?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) + 637\/245. What is the third smallest value in -236, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 606.64.\nAnswer: 618.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (981\/12)\/((-3)\/(-8)). Let w be l\/(-14) - 18\/42. Let m be w\/(5\/41250*-3). Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -459 - -859. Let z = s - 269. Let v = z - 131.008. Round v to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 3*f)*(1 - 1 - 1 - 1 + 1 - 2 + 3 + 3 - 3 + 0 - 2 + 3 + (1 + 1 + 0)*(-2 - 2 + 3) - 1 - 1 + 0).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/(-32)*(-4)\/18*28. Let t = o + 4. What is the highest common factor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912)\/sqrt(3))**2*-1 - ((2*sqrt(57))\/sqrt(3))**2*-2 - (6*2*sqrt(1216)*-2 + 0).\nAnswer: -152 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(52) + sqrt(26)\/sqrt(18) + 2.\nAnswer: 2 + 61*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3865, 7685, 11505, 15325, 19145, 22965?\nAnswer: 26785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -152245.1 rounded to the nearest one thousand?\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20615 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: b\"What is the rth term of 21, 57, 103, 153, 201, 241?\n\"Answer: -r**3 + 11*r**2 + 10*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502858 at most 502859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -70236?\nAnswer: -1194012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 0*s**5 + 4*s**5 + (-s + 0*s - 2 - 4)*(0 - 2*s**4 + 0).\nAnswer: 5*s**5 + 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2\/3, -12, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8140)\/(-11) - 465\/31 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7992 minus -1?\nAnswer: 1.7992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -17 + (-5 - (-13 + (1 - -4)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = t + x, 0 = t - 5*x - 1. Calculate the remainder when 148 is divided by 12\/(t - 468\/81).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u - 2 + 2*u + 2*u**2)*(2*u + 2*u**2 - 2*u).\nAnswer: 4*u**4 + 6*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5379 and -46\/231.\nAnswer: 37653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15578 * 3.\nAnswer: -46734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*x = -16, -19 + 12 = 3*b + 2*x. Solve -w - 3*q = 14, 5*w - 2*q + b = 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.155 + 3.59. Let d = s + -0.335. Which is the nearest to 2\/5? (a) 3\/7 (b) -1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*s + 6*s + 26, -2*u = 4*s + 92. Which is the smallest value? (a) 7 (b) s (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1525286 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 525.822 millennia?\nAnswer: 5258.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 130*n + 252.\nAnswer: 2*(n + 2)*(n + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 4*t**2 + 0*t**2)*(1 + 2*t**2 - 1) + 0*t**2 + 2*t**4 + 0*t**2 + 4*t**2 - 17*t**4 - 4*t**2.\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6976 - 4847. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20.796648 months?\nAnswer: 0.1733054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -221, -139, 15, 265, 635, 1149?\nAnswer: 1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/5)\/((70\/(-25))\/(-7)). Which is the third biggest value? (a) u (b) 1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -5*x**4 + 25*x**3 - 30*x**2 - 20*x + 212. Let g(m) = 0. What is m?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685*v - 144732 = -38*v for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.55 + 0.6. Let r = z + -0.15. Let c = 0.11 - 4.11. Is r at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3 - -24)\/((-60)\/240 + (-1)\/(-2))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2. Let u = 2 + 6. Suppose 2*y + 3*y = 40. Let q(z) = -u*z - z**2 + y*z. Determine a(q(p)).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*u = 113*u - 4*d + 3, -24 = -4*u - 4*d. Solve 3*l - u = 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 - 84*q**3 + 74*q**3 + (0 + 0 + q**2)*(q + 2*q - 2*q) + 2*q**3 + 0*q**3 + q**3 as j + z*q + u*q**2 + d*q**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (-2 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -47*r**2 + 87*r + 371. Calculate s(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17754401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 326690 (base 10) to base 5\nAnswer: 40423230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*h - 4 + 3 - 60*h to the form s + r*h and give r.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311866 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 2. Let l = -13 - -10. Let o be v(l). Let b(k) = k**3 - 5*k**2 - 9*k + 4. List the prime factors of b(o).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/162)\/(32\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 34 = 2*v + 18, 0 = 2*u + v - 10. Let q(x) = -1 - x**2 + 6*x + 2 + 6. Calculate q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -19. Let s(m) = -5*m. Let v be s(-3). Suppose -z*p - 2*p = -v. Solve x + 6 = p*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8791.012 micrograms in tonnes?\nAnswer: 0.000000008791012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -138.1.\nAnswer: -137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 7. Let j be g(-6). Suppose 5*h - 868 = -5*h + 1382. What is the greatest common factor of h and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -11 - 0 - (-187 - -191).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:33 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 266 + 91 - 1911. Calculate the remainder when 800 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5427 and 5561.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 2. Let z be y(-4). Suppose -11*s - 2*i = -63, 44*s - 47*s - 5 = -5*i. Solve 0 = -s*m + z - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d + 2. Let k(u) = 4*u + 3. Give -5*k(b) + 6*y(b).\nAnswer: 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5199*f**2 + 8619 - 8619)*(-4*f + 3*f + 3*f) to w*f**3 + n + g*f + j*f**2 and give w.\nAnswer: -10398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122012010 + 1?\nAnswer: 22122012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -22. Suppose 0 = -4*l + 5*r - 13, 2*r - 6 = -l + 7. Calculate the greatest common divisor of s and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + 11*n**2 - 20*n + 78. Calculate o(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5221 (base 6) to base 4\nAnswer: -102031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1016. What is the hundreds digit of n(-158)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - ad24?\nAnswer: -ad24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -775 - 792 - 467 + 584*p**2 + 1710 wrt p?\nAnswer: 1168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 334158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**19)**(-1\/22)*(z*((z\/z**(-17))\/z)\/z*z)\/(z*z\/z**(4\/11)) assuming z is positive.\nAnswer: z**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1356.14 and -62815.5.\nAnswer: -64171.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 617311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/49 + 732\/14. Let y be -1*a*5\/(-10). What is the units digit of (39\/y)\/((-2)\/(-52))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0689*-0.1\nAnswer: 0.00689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -17)*20\/5. Which is greater: t or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let h be 9*2*1\/3. Let o(b) = 9*b**2 + b**2 - h*b**2. Give p(o(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 482, -3, -73, 5, 2 in descending order.\nAnswer: 482, 5, 2, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -702801283*u**3 + 609101089?\nAnswer: -2108403849*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1873*t + 72. What is the thousands digit of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.5, 0, 0.3, -0.0507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -35. Let g be ((-6)\/j)\/((-9)\/15). Suppose -g*q = -q - 60. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.5 - -1.5. Let g = 21.3 + j. What is g rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14829625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67035650.\nAnswer: 2, 5, 11, 121883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 323 = 3*t, -14*a = -2*t - 11*a + 215. What is the remainder when 130 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j - 10. Let m be 114\/(-10) + 12\/30. Let d(n) be the first derivative of -2*n + 4 + 0 - 5 + n**2. Calculate m*d(l) + 2*p(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 3*l)*(5 + l - 5)*(18*l - 18*l + l**2).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 1. Let x(o) = 1. Let a(q) = -f(q) + 5*x(q). Is a(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + a**2\/2 + 2*a - 1. Calculate the remainder when 17 is divided by b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/2469 and -151\/14675736?\nAnswer: 14675736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*i - 0*i. Let h(a) = -7*a**2 - 10*a**3 + 4*a**3 - 10*a + 5*a**3 + 31*a - 18. What is the units digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 748346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 196, 0, -15 in decreasing order.\nAnswer: 196, 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8991*z - 8990*z - 16 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 789+856666\nAnswer: 857455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*j = -181*j + 3*x - 15, -5 = -4*j - x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -223*n + 3791. Give v(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 + 1422*q**2 - 5310*q.\nAnswer: -12*q + 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2715 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.2, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4601829 or -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128551879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.92 - 3. Let y = s + -0.92. Let o = -6 - -2. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.59848 - -90.6. Let v = -1 + g. Round v to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/3851645 and -66\/48755.\nAnswer: 3851645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/96 + 1)\/(207\/276)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 145734519*a**2 + 378049914*a wrt a.\nAnswer: 40*a**3 - 291469038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12968730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + -1*(3 + sqrt(475)))**2.\nAnswer: -2695 - 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 + 6 = -f, 3*f - 4*w - 3 = 0. Let k = 0 + f. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -142863, -285728, -428597, -571470?\n\"Answer: -2*q**2 - 142859*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (-50)\/(-30)*-9 - -761. Solve -743*v + a*v = -40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23896 and 4088536.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**4\/8 + 604*s**2. Let z(x) = -52*x. Let o(t) = -13*t. Let q(a) = 9*o(a) - 2*z(a). Calculate q(b(g)).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-79)\/(-7)) + (-44 - -52)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22341, 25881, 29421, 32961, 36501, 40041?\nAnswer: 43581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.019256209 - -0.019256839. Let i = 34 + a. What is i rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5536, -9016, -12512, -16030, -19576, -23156?\nAnswer: -26776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -1336. Let j = y + -864. What is j rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361813\/44 + -8225. Find the common denominator of r and -73\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 3*c)*(-4 + 2 + 3)*(9 - 8 + 13)*(-33*c - 13*c - 17*c).\nAnswer: -882*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 19*x + 14*x - 28*x in the form n*x + q and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 13\/6)*30\/(-45). What is the second smallest value in 1, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -12 + 14 + (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)*(-4 + 1). Let w be 3 - ((-6 - -1) + 0). Let g(p) = p + 12. Let d be g(w). Solve -8*u + d = -b*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y, -2*c + 15 + 4 = 5*y. Let r = 51 + -5. Calculate the remainder when r is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from dccvvddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 240621 + 270 + 2*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)*u)\/(u**(-4)\/u))**(6\/7)*((u\/(u\/(u*u*u\/u**(-1))*u*u))\/u)**48*(u*u**(-1))\/(u*u\/(u\/u**(-4\/5)*u)) assuming u is positive.\nAnswer: u**(1903\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 28*n - 2. Let b(x) be the second derivative of -x**6\/360 - x**3\/3 + x**2 - x - 30. Let y(v) be the second derivative of b(v). What is y(f(q))?\nAnswer: -784*q**2 + 112*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729 by -729.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1306 + 1304.942. Let o = f + 0.058. Let x = 12\/7 + -31\/14. Which is the biggest value? (a) -0.2 (b) o (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23519 is divided by 619.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01357719651 to five dps.\nAnswer: -0.01358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5 + 4 - 3 + 68*q - 3 - 72*q. Let v(z) = -4*z + 4. Calculate -5*l(u) + 4*v(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 420 + -415. Solve y*g - 10 = -15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 1. Let i(f) = f. Determine -7*i(d) - 2*u(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -183 + 170?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Let w = -17\/75 + 3\/50. Which is the closest to w? (a) 1\/6 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - 33. Let c be 10\/p + 112\/18. Let l(o) = -o**2 + 9*o - 9. What is the remainder when l(c) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 13\/3. Let j = 2 - -1. Let x = j + -2.9. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -972*c - 3852. Give i(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 6666.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133701 is divided by 920.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 590751042 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148426 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.15 (b) -5 (c) 15 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9835 + 14067. Let z = c + -2102. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 1 - (-2)\/(-1). Suppose 4*m - m - 51 = c. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 1\/2832, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*l + 6 = 31, -2*k + 3*l = 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34111 - 34693. Which is smaller: -586 or r?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/6174 and 17\/7056.\nAnswer: 49392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.62605 + 2.1\nAnswer: 2.72605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 26.7. Sort 10, -3, d in decreasing order.\nAnswer: 10, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 8*g + 1. Is u(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 8. Let h be (-3)\/(-4) - 44\/k. Do h and -4\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -10 + 12 + 49\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -12. Suppose 2*x - n = x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2. Let c(o) be the first derivative of 21*o**2\/2 + 47*o + 12. Let w be c(22). Let i(m) = 3*m**2 - w + 509. Give i(j(y)).\nAnswer: 192*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217800 by -1800.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - 4 = 0. Let q(s) = s**3 + 3*s**2 + 2*s + 2. Let o be q(-2). Solve -w = -o*w - c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(8)*4 + -5 + sqrt(72) + -4 + sqrt(72) + sqrt(72) + 1))**2.\nAnswer: -1664*sqrt(2) + 5664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 42 + 3*d**2 - d - 4*d**2 + 0*d in the form o + n*d + i*d**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/344559 (b) -1 (c) 2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 437 - 168. Suppose 13*x - 12*x = d. Suppose 0*p + 2*p - 236 = -4*l, -5*l + x = -4*p. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2857303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/6 (c) -4.7706\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*p - 5*n, -5*p + 2*n - 69 + 24 = 0. Let j(g) = g + 1. Let m(v) = v. Let s(y) = 4*j(y) - 5*m(y). What is the tens digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 227656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.15, 5, -1\/13, -2 in decreasing order.\nAnswer: 5, 1.15, -1\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683105 plus -489?\nAnswer: -1683594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 2\/25, -3\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 6*o**2 + 9*o - 3. Suppose 0 = 2*p + 1 - 13. Let b be v(p). Suppose 172 = 5*g + h, 0 = g - 2*h - b + 10. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 87*m - 321. What is s(-26)?\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*l*u**2*y + 3*l*u**2 + 9*l + u**2*y + 57*y wrt u?\nAnswer: -124*l*u*y + 6*l*u + 2*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) -14\/12975 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*j, -3*j + 0*n - 4*n = 3. Suppose -2*i - 1 = -j*i. Are i and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 153185729 from 32.792.\nAnswer: -153185696.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 44800 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -218?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1 - (-7)\/(-4)). Calculate the common denominator of (-10)\/v*(-2)\/4 and (-14)\/49 - (-430)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*f + 145 = 0, 4*f - 29 = -319*j + 318*j. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let h = 18 + c. Let f = -7 + h. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12872989*a**3*o**2 + 4*a**2*o**2 - 101056*a**2*o + 7*o**2 - 2*o wrt a?\nAnswer: -77237934*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-4 + (sqrt(180) - (sqrt(180) + 1)) - sqrt(180) - sqrt(180))**2*-3.\nAnswer: 2160*sqrt(5) + 13405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -28939.\nAnswer: 28939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -28897.\nAnswer: -28896.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l**(-12)*l)*l))\/(l\/l**(1\/12)))\/(l*l\/((l**(-1\/5)*l)\/l)*l)**(-3\/8) assuming l is positive.\nAnswer: l**(-643\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 188*h. Let d(u) = 875313*u. Determine d(c(w)).\nAnswer: 164558844*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -29, -79, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1856*u**2 - 2*u + 3*u**3 + 2 - 1856*u**2. Let h(j) = -j**3 - j**2 + j - 1. Calculate -2*h(l) - x(l).\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3 + 20. Let u(m) be the second derivative of -10\/3*m**4 + 0 + 0*m**2 + 0*m**3 - 30*m. What is v(u(x))?\nAnswer: -4800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 188 + 72?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (4 + 0)) + -1 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -65, -79, -93, -107?\n\"Answer: -14*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**2 - 2*t + 1. Determine x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2\/2 - 9*b + 2. Let t be d(12). What is the highest common factor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512853 and 280727.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/((20\/((-240)\/(-36)))\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4 - -2 - -1). Suppose 4*a = -3*v + 2*v - 35, 2*v + n*a = -45. Let i = v - -18. Solve 3 = i*p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:29 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) -0.039 (c) -14\/3 (d) -0.5 (e) 1504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2155 - -2151. Sort -1, 4, n, -3 in increasing order.\nAnswer: n, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*k**2 + 36225 - 36225.\nAnswer: -466*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f**2*j*x - 178*f**2*j + 2*j*x wrt x?\nAnswer: 9*f**2*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107 + 6847 = 395*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1578 and ((1397\/30)\/11)\/((-186)\/(-465)).\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 5*u**3 + 6 + 7*u**3 - 19 - 29*u**3.\nAnswer: -27*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 150, -108, -1120, -3264, -6918, -12460, -20268?\n\"Answer: -63*s**3 + s**2 + 180*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 215835 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*y - 54, -3*y = -0*s - s - 38. Suppose -y*j + 9*j + 9 = 0. Suppose 5*d = -j*f + 3611, -5*f + 765 = 4*d - 2129. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 greater than 2225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164579 + 4.4.\nAnswer: -164574.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830240?\nAnswer: 2, 5, 37, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**6\/225 + y**5\/30 - y**4\/15 - 4*y**3\/45 + 8*y**2\/15 - 74*y. Solve f(t) = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44986*k**3 - 16316*k**2 + 4*k wrt k.\nAnswer: 269916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 23\/6*d**3 - 32*d**2 + 0*d**5 + 0*d**6 + 0 - 1\/24*d**4 + 0*d - 71\/210*d**7. Find the second derivative of j(l) wrt l.\nAnswer: -852*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 1404?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express k - k**2 - 3*k**2 + 725*k**3 - 722*k**3 + 1 + 2*k**4 as u*k**4 + w*k**3 + r + f*k**2 + p*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - j - 32 = 0, q + j + 4*j - 22 = 0. Find g such that -g**2 - 2 - q*g - 2*g**2 + 6*g + 4*g**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41033\/2 - -20509. What is the nearest to -2\/5 in -4\/5, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 80*g**2 - 1227*g + 3615. What is i(-25)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -1\/3*l**3 + 0*l - 83 - l**6 - 32*l**2 + 0*l**4 + 0*l**5. Find the second derivative of q(m) wrt m.\nAnswer: -120*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 6*i**2 - 6*i + 2. Let t(m) = -2*m**3 - 6*m**2 + 6*m - 2. Suppose -4*x + k = -k + 10, 2*x - 7 = 5*k. Let c(s) = x*n(s) - 3*t(s). Factor c(l).\nAnswer: 2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1370 and 334828.\nAnswer: 1674140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726*z**3 - 1 - 3*z**2 + z**2 + 89*z**3.\nAnswer: 815*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 + 3 = 1, 81*c - 11 + 0 = 82*c + 14*l + 14 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 4*w + 15*w**2 - 17*w**2.\nAnswer: 6*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 - 15*i**4 - 210*i**3 - 490*i**2 - 435*i - 135.\nAnswer: 5*(i - 9)*(i + 1)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1888 + 1888.2099. Round b to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 573837 and 782505.\nAnswer: 8607555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 2760 - 2760.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msvvvssvhvva. Give prob of sequence av.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100708*j**4 + 57864*j - 3 wrt j?\nAnswer: -1208496*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(0 + (4 - 5)). Let o(m) = 13*m**3 + m**2 - m - 1. Determine o(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70979 or 6\/65?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a + 40*a - 26 - 19*a + 21. Let g(b) = -b + 2. Suppose -m - z + 6 = -0*m, 0 = 5*m + z - 14. Let o = -9 - -14. What is m*p(q) + o*g(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 4. Let m(o) = -o. Let c(r) = -2*h(r) + 9*m(r). Determine c(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-4 - (sqrt(27)\/sqrt(9))**2*5.\nAnswer: -16*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**4 + 13*p**3 - 13*p + 8. Let s(j) = 3*j**4 - 6*j**3 + 6*j - 4. Let t(u) = 6*b(u) + 13*s(u). Differentiate t(v) wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - 4*sqrt(209) - sqrt(209)))*1*5)\/((1*sqrt(88)*4)\/sqrt(8)).\nAnswer: 25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 12*w**3 - 7*w**3 + w**3 to d*w + y + v*w**2 + i*w**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/2)*(c**(6\/11)\/c)\/c*((c\/((c*c**2)\/c))\/c)**32*(c*c*c*c\/c**(2\/3)*c*c*(c\/(((c**7\/c)\/c)\/c))\/c)\/(c**1\/c*c\/(c**(-2\/3)\/c*c)*c) assuming c is positive.\nAnswer: c**(-4507\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/273, -2, -0.0139 in decreasing order.\nAnswer: -1\/273, -0.0139, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1890355506*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5591*x + 11235*x - 5655*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 5. Let k be h(-7). Let b be 372\/k - (-6)\/10. Calculate the greatest common factor of 52 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.087343 and -0.4?\nAnswer: 0.4349372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.7*185\nAnswer: 499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 p when three letters picked without replacement from ubebfbebespbfee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18615 and 6789?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -9)\/(35\/(-14) + 3). Let y be 17\/(-16) + -1 + (22 - u). Is y < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147\/4 + 36*x + 3\/4*x**2.\nAnswer: 3*(x - 1)*(x + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(64)\/(sqrt(16)\/sqrt(2))) + (sqrt(171)*1*-2)\/sqrt(9))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.015481 grams?\nAnswer: 2015481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -15396, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 9 + 5*y**2 + 7*y - 7*y wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6120\/(-2448)*38\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4 - (-8 - -3) - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 475, 670, 813, 886, 871?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/23)*z*((z\/(z\/(z*z**10)))\/z)\/z assuming z is positive.\nAnswer: z**(251\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 + 417986*r - 43678074049 = 0.\nAnswer: 208993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/11? (a) -1 (b) 1\/8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16237?\nAnswer: 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13\/49)\/13*(-4 - (-9 - 2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1001 and -17\/910?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x**3 - 17*x**2 - 20*x + 20. Let g(k) = 5*k**3 + 6*k**2 + 7*k - 7. Determine 17*g(z) + 6*h(z).\nAnswer: -5*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 392 by -16844.\nAnswer: -98\/4211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -103, -169, -247?\n\"Answer: -6*v**2 - 36*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 161*s - 2102. Calculate k(146).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2151048 and -0.5.\nAnswer: 0.1075524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 94*s - 90*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubrkdufdrkrdrur. Give prob of sequence rud.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 854, 1862, 3278?\nAnswer: 5102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/35 - 258*d**4\/7 + 88407*d**3\/7 + 267289*d**2\/7 - 6410. Factor h(g).\nAnswer: g*(g - 517)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42578*b*q**3 - 5458*b*q**2 + 169*b + 1339*q**3 - 4*q**2 wrt q?\nAnswer: 255468*b + 8034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y - 350 = -76*y. Solve 0 = y*g - 19*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by -4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.2, 28, -3\/5, 0.1, 2\/5 in descending order.\nAnswer: 28, 2\/5, 0.1, -0.2, -3\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8207\/95 + 167\/19. Suppose 394 = -5*m + 2*g, 3*m - m = 2*g - 160. Let q = m - t. Which is the third smallest value? (a) 1\/5 (b) q (c) 3 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)*3*3)\/(-2*sqrt(10)*3 + sqrt(40)\/(sqrt(12)\/sqrt(3))).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19)*1)**2*-2.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 16*o - 5. Let r be s(-15). Let v(d) = 17*d**2 + 10*d - r*d. Let l(h) = -h**2. Determine v(l(x)).\nAnswer: 17*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 11*k**2 + k - 7. What is the units digit of r(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(114)*2)\/((sqrt(6) - sqrt(30)\/(sqrt(15)\/sqrt(3))) + sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 divided by -3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -278*v**4 + 327*v**2 wrt v?\nAnswer: -6672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggg when four letters picked without replacement from fffgggfggggggggfgfg?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -2, 19, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (970*l**2 + 391*l**2 - 788*l**2)*(2 + 1 - 1)*(2 - 2 - 4)*((l - 2*l + 3*l)*(0*l + l + l) + 2*l**2 + 2*l - 2*l).\nAnswer: -27504*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6\/7 (b) 2\/5 (c) 3 (d) 3\/2 (e) 30 (f) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - 0.05. Let m = -0.02 - -0.52. Which is the second biggest value? (a) -0.5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**2 - 3 - 8*a**3 + 3 - 7*a**2 wrt a.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**3 + 2*i**2 - i. Calculate t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.049 - -5.749. Let s = h - 0.7. Let j = -19 + 22. Sort s, j, -0.4.\nAnswer: -0.4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 92776*i - 1484676. Determine w(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:40 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.941706 to 1 decimal place.\nAnswer: -69.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1. Let d(x) = 2*x - 2. Let s(q) = -d(q) + 2*j(q). Let b(i) = -1405*i**2. Give b(s(z)).\nAnswer: -5620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 2. Let p be m(-3). Let i(t) = -2 - 2 + 1 + p - t. Calculate i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2408474\/5 + -483351. Let b = m + 1657. Factor -b*v**2 - 4\/5*v**3 + 4\/5*v + 4\/5.\nAnswer: -4*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from qxwxxaqaqxqwwqw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128932 is divided by 568?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15586 smaller than -15587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -55. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.7897 to one dp.\nAnswer: -107.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.97 - 4. Let b = -0.07 + x. Let f = -0.2 - 0.8. Put f, -3, b in decreasing order.\nAnswer: b, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 7. Let d(r) = 4*r + 8. Let f = 27 - 32. Calculate f*d(g) - 6*s(g).\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Calculate the remainder when 5 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(1 + 2 - 4)*(-18*j**4 - 82*j**4 + 7*j**4).\nAnswer: 186*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5268, 5575, 6456, 8199, 11092, 15423, 21480?\n\"Answer: 48*z**3 - z**2 - 26*z + 5247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60635912*j**3 - 3*j**2 - 395*j + 45496.\nAnswer: -363815472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/51*(-1)\/(-4). Determine k, given that -k**2 + 0 - 4\/3*k**5 + k**4 + 5\/3*k**3 - s*k = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57672250 and 10470.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -8.6613, 52\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -23. Solve -3*n - q = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 9 - 5. What are the prime factors of v + 7 + -2 - -25?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 38\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1747 or -5?\nAnswer: -1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) -0.2 (c) -12.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172459.\nAnswer: 7, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l - 2. What is v(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.97905us to minutes.\nAnswer: 0.0000021163175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*n*n**(-2)\/n)**(-15\/2))**(-9) assuming n is positive.\nAnswer: n**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 33 = 5*w, 0 = 4*w + 7*w - 7*w + q - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461482.2 - -461482. Let m(x) = -x**3 - 6*x**2 - 3*x. Let d be m(-6). Sort d, v, -1\/10 in descending order.\nAnswer: d, -1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100011011011011010110 - 100?\nAnswer: -11001100011011011011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9 + ((-40)\/3)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001027 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let v(j) = -4*j. Let d = -7 + 12. Suppose 5*a - 17 = z, -16*a + 13*a - 5*z - 1 = 0. Give a*v(h) + d*s(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -101. Let p be 12*(j + 14880\/(-9)). What is p rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-500)*895\/(-1074).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:31 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from {d: 8, h: 8, e: 4}?\nAnswer: 392\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + 10. Solve -4*p + l*p + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1622261 + 2422261. What is z rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)*x*x**(9\/2))\/(x**1\/x*x)**19 assuming x is positive.\nAnswer: x**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*f - 27, 27 = -2*f + 5*f - 3*x. Solve -3*k = -0*k - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291838?\nAnswer: 2, 397, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac1a + 73?\nAnswer: ac90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 - 8*s - 7. Let v be j(5). Suppose -v = 3*k + 3. Calculate the common denominator of -77\/15 and (k\/(-1))\/((-9)\/19).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 - 2*j - 3. Let o(c) = -c - 3. Let h(m) = -3*b(m) + 2*o(m). Find the second derivative of h(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25d9 + -32a77?\nAnswer: -3048d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-1 + 1 + 1)*(207915 - 2882*r - 207915)*(4*r - 2*r + 0*r).\nAnswer: 11528*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 - -2 - 2. Let r be l - 4\/(4\/9). Let k = 31 + r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 3, q: 3}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 2*r - z, 1 = -z. Suppose 2*w - 2*g = -r*g + 22, -2*w = 3*g - 19. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 917 and 211.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p*s**3 + 3*p*s**2 - 2718*p - s**3 - 65*s**2 + 24*s - 1 wrt s?\nAnswer: -24*p*s + 6*p - 6*s - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.263 - 613.237. Let v = n + 675. What is v rounded to 0 dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*g, -h + 13 - 5 = -4*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16308 + -16357.15. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2079746 + -2.1857075. Let y = 1.10926653 - g. Let f = y - 0.087. What is f rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 - 2*g**2 - 10*g + 23. Let m be o(-4). Let a = m + -430. Let b = -0.19 + 0.09. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*b**3 - 191*b**3 + 57*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 11*z**4\/12 - 11*z. Let a(n) = 2*n**2. What is a(i(v))?\nAnswer: 242*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32415315 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (sqrt(11) + -5 + -3*sqrt(11))) + sqrt(11) + sqrt(33)\/sqrt(3) + 1.\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**33*n*n**37\/n assuming n is positive.\nAnswer: n**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.89 times 0.2\nAnswer: -2.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -16, -0.2, 2\/3, 1\/11, 2 in ascending order.\nAnswer: -16, -0.2, -2\/21, 1\/11, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z - 2. Let h(w) = 554*w**2 - 1108*w + 2216. Give 3*h(t) + 3324*r(t).\nAnswer: -1662*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220.2 - -218. Which is the third biggest value? (a) -0.4 (b) q (c) 0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 3 - 117. Let r(s) = -s**3 + 18*s**2 + 24*s - 4. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2037 by -19.\nAnswer: -2037\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 17 = -6*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 13*k**7\/105 + 37*k**5\/60 + 21*k**2. What is the third derivative of r(t) wrt t?\nAnswer: 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219952279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1533\/119 + (-20)\/4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -872030 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*d + 4*v - 78280 = 173*d, d - 19584 = 6*v. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 4, g: 6, w: 4}. What is prob of sequence cww?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 + 193.42. Round g to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -297, -293, -287, -279, -269, -257, -243?\n\"Answer: v**2 + v - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(-4 + (sqrt(108) - 1*(3 + sqrt(108) - sqrt(108)) - sqrt(108))))**2*4*-6.\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/4, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -235 + -7?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 61 = 29 - 45 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00530195 to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1141 by -6.\nAnswer: -1141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 1 in descending order.\nAnswer: 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 3, g: 1, k: 4}. What is prob of sequence gt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/4, 0.03, -4, -4\/3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/8))**(3\/7))**(-23) assuming w is positive.\nAnswer: w**(-207\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 + 316. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**2. Let w(j) be the first derivative of -8*j**3\/3 + 53. Calculate v(w(d)).\nAnswer: -640*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*1386\/(-3432)*5\/7?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:43 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27358.07 milligrams in kilograms?\nAnswer: 0.02735807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 - 4 = 2*v, 3*v = -2*p + 2. Suppose -p*f + 10 = -2*f. Suppose -2*u = -0*u - l - 1, 0 = -5*u + l - f. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42234 (base 5) to base 8\nAnswer: -5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1312*c**2 + 316*c + 17. Let v(u) = -262*u**2 + 63*u + 3. Let n(g) = -2*k(g) + 11*v(g). Find the second derivative of n(q) wrt q.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 + -2?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -67366712.92 less than 40?\nAnswer: 67366752.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -175.3 from 0.4.\nAnswer: 175.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -11539\/34 and -340 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 + 0.965562\nAnswer: -5.134438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 46728\nAnswer: -280368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*x + 793. Let p = x + -128. Let g = 55 - p. Solve g = h + 1 + 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - d + 155 = -6*d, -x = 5*d - 49. What is the remainder when 66 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**5*t - 73771*i**3*t**2 + 257420*i*t**2 wrt i?\nAnswer: -80*i**3*t - 442626*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - ((15 - 25 - -6) + -65 + -1)) + -6\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 4*k**2 - 127 - 135 - 114 + 429.\nAnswer: 4*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 260\nAnswer: -43\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*n + p + 26 + 3 + 1, 5*n - 7*p = 47 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 1648 = -3*y - 31*v, -v + 544 = y. Calculate the lowest common multiple of y and 2184.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.5, 1, 0 in ascending order.\nAnswer: -14, 0, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6259.6229 rounded to 0 dps?\nAnswer: -6260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000757953 rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 11, -3, -4, 46 in ascending order.\nAnswer: -4, -3, 3, 4, 11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5275, -5273, -5271?\n\"Answer: 2*i - 5277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1713897 and 737.3.\nAnswer: 1714634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 3*p - 17 + 17*p**2 + 14 + 13*p**2 - 27*p**2. What is q(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2063*t - 1. Let q(c) = c. What is q(f(w))?\nAnswer: -2063*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1024 * 5.9001.\nAnswer: 6041.7024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - 3) + -77 + 27 + 34?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 870426 and 517798?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2\/7 (c) 0.2 (d) 1 (e) -33248\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.9562 days to weeks.\nAnswer: 107.1366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-7) - 4\/14. Let t = -275\/36 - -31\/4. Let u = 19.2 - 24.2. Which is the smallest value? (a) p (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose -4 = -q*h + h. Solve -h*d = d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(-2*c + 2*c + 2*c) - 3*c - 3*c + 5*c + 7*c - 4*c - 5*c to p*c + y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + p + 7 = 0, -4*p = v + v - 16. Put 6, -1, v in descending order.\nAnswer: 6, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-6)\/4441) + (-1)\/6. Suppose -g = 57*w - 61*w. What are the prime factors of w?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from pbgpkpgybpbgpgpy.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.03 (b) 1\/7 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16) - (-18753)\/1316.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013968875 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 5. Let p be 0*(-2)\/4*2. Let u be y(p). Let f = 9 - u. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -9\/4, -5\/3, 7858, 0?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -63. Suppose 3*q = -j*s + 57, s + 4*q - 108 = -3*s. What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -153\/2. Suppose q + l + 12 = 0, 24*l = -2*q + 25*l - 6. Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 8. Let a be p(-7). Let r = 1.82 - 1.8. Let c = r + -0.08. Are a and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 3*t**3 - 2*t**3)*(-365 + 365 - 45*t**2)*(4 - 2 - 1).\nAnswer: 45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**2 + 8 - 8)*(2 + 1 + 1 + 1 - 1 - 3 + (-1 + 0 - 1)*(2 - 4 + 3)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5038 + 7.5038. Which is the nearest to -0.01? (a) -0.1 (b) -6 (c) 0.4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0159 - -2.9059. Let z = -2.9 + w. Which is bigger: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/177597 and -44\/47.\nAnswer: 8347059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + s)*(4*s**3 + 6*s**3 - 6*s**3) + 3*s**4 + 0*s**4 - s**4.\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220, 474, 738, 1018, 1320, 1650, 2014, 2418?\n\"Answer: p**3 - p**2 + 250*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240640 and 25380.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.2 - 17. Let u = -0.2 + n. Which is the nearest to u? (a) -0.03 (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 47*i + 195. What is t(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h**2 - h + 7. Let q be i(-7). Let v = 6 - q. Which is the nearest to v? (a) -2 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d + 3698 - 3304, -2*d = -4*s - 442. Calculate the least common multiple of 190 and d.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 95481 + 1\/4*v**2 + 309*v = 0.\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 1. Let h(k) = -11*k - 4. Let y(g) = 2*h(g) - 7*u(g). Suppose -67*m = -60*m - 7. Determine y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**2 + 0*b**2 + b**2 + (-2*b - 2*b + 2*b)*(-3*b + 2*b - b) + 12 - 2*b**2 - 12 + (10 - 10 + 3*b)*(0*b - 2*b + b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 + 381*v + 201. List the prime factors of o(-49).\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) -3 (c) -5\/7 (d) 0.1 (e) -2\/19 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 - 1 + 1 + (-2*k - k**2 + 2*k)*(4 - 2*k - 4).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 4\/9*a**2 + 0*a + 3 - 8\/9*a**3 + 1\/2*a**4. Find d, given that s(d) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.2, -59, -1, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q + 1. Let m = -11345 + 11350. Let f(d) = -29*d**2 + 5*d - 4. Calculate m*t(k) + f(k).\nAnswer: -34*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -226 and 3.5?\nAnswer: 229.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6589477.\nAnswer: 23, 286499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3 = 5*i - 18, -3*b - 3*i = -15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16120620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 4. Let z be l(2). Suppose z = -2*c + 10, 2*a = -c - 0*c + 7191. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 4*5\/(-10). Let o be k\/(-21) + (-12)\/(-14). Let n be o*(3 - (-1)\/2*4). Solve -2*a - h = 0, -n*h + 0*h - 16 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 7 = -61 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 - 5*z**4\/8 + 33*z**3\/2 - 2*z**2 - 17*z - 1. Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 + 2*y - 20. Let h be w(-6). Suppose 2*o - h*m - 24 = 0, 4*m + 33 = 4*o + m. Suppose o*b - 10 = 134. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - i - 87, -5*l + 2*i = -444. What is the remainder when l is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + s - 22 = 2*s, -y + 11 = -3*s. Suppose 0 = k + n - 9, -5 = -y*k + 12*n - 9*n. Suppose -2\/5*u**2 + k*u - 10 = 0. What is u?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -2*l. Suppose 3*r = -2*r + d + 21, r + 3*d - 17 = 0. Let m = 7 - r. Solve -h - l + m = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13816241 and -67995.6.\nAnswer: 13748245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**20*m)\/m*m)**(-11) assuming m is positive.\nAnswer: m**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2806, 2810, 2816, 2824, 2834, 2846?\n\"Answer: w**2 + w + 2804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -120. Suppose -p*l + 240 = 5*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) 73 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.87259 centimeters in millimeters?\nAnswer: 928.7259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 445, 893, 1341?\n\"Answer: 448*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294336?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14206 is divided by 85.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 + 5*c - 1. Determine w(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 24*u + 129 to the form b*u + q and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-603113.3.\nAnswer: -241245.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -14.4. Let i = b - -0.45. Let u = 0.05 - i. What is the nearest to 1 in u, 0, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/360 + 55*m**4\/4 + 167*m. Let x(s) be the third derivative of c(s). Let n(p) = 3*p + 24. Give n(x(f)).\nAnswer: 6*f + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1593 = -5*m, 2*m - 580 - 65 = -3*q. Solve 0 = 20*t + m - 478 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/19 - (-582)\/114. Suppose 0 = 5*x + h*a - 1935, -4*x - x - 3*a + 1945 = 0. Suppose -2349 = -v + x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9356?\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13*y = 18. Suppose -j - 6*a = -y*a - 30, 0 = -j + a + 20. Let z = j - 1. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125658?\nAnswer: 2, 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t - 3. Let p(m) = -9*m**3 + m - 2. Let c(i) = 16*i**3 - i + 4. Let u(q) = -5*c(q) - 9*p(q). Give -2*d(k) + 3*u(k).\nAnswer: k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + 12. Suppose -z - 7*z = -4*z. Let s be y(z). Solve 0 = 2*d + s - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-598)*-39*-6*(-6)\/216\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661907139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*j + 5*j = -16926909 - 10420962. Is j 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**5 + 1605*q**4 + 145*q**3 - 4*q**2 - 2*q + 141891 wrt q?\nAnswer: -120*q**2 + 38520*q + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 + 1254\/315)\/((-3)\/9) and -1\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 466 - 322. Let i = p - 143. Solve i = -g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1067 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millimeter in micrometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)\/v*v\/v**(4\/5))\/(((v\/(v*v**(-4\/9)))\/v)\/v**(-17)) assuming v is positive.\nAnswer: v**(-6163\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 1984143475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1783*v**2 + 9*v - 24. Let f(r) = -1778*r**2 - 10*r + 27. What is -8*f(x) - 9*s(x)?\nAnswer: -1823*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in -1, -111, 0.6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9036451*b**5*s**3 + b**5 - 10*b*s**3 - 2*b + 4892*s**3 - s**2 - s - 6 wrt b?\nAnswer: -180729020*b**3*s**3 + 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - s)*(44*s**2 - 37*s**2 - 25*s**2) - 4*s**3 + s**3 + s**3 - 2*s**3 + 3*s**3 - 5*s**3 + (-s + 3*s + s)*(0*s**2 + s**2 + 0*s**2).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55607b (base 12) to base 5.\nAnswer: -321431203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5881 - -5880.9. Suppose -5*p + 86 = -3*w - 69, -5*p - 195 = 4*w. Put w, 1\/9, x in decreasing order.\nAnswer: 1\/9, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 8. Let i = 1\/129 + -29\/43. Let o = 14 - 13. What is the nearest to i in o, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from {k: 2, q: 2, t: 1, b: 2, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013010 (base 4) in base 15?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -9, -0.1, 48 in descending order.\nAnswer: 48, 4, 0.1, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -693 - 523. Let j be (q\/(-114))\/((-40)\/18 - -2). Let y be (-1 + 1)\/(0 + -1). Solve y*b - w - 1 = -b, -j = -2*b + 3*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657 is divided by 413.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111076379 to the nearest integer?\nAnswer: 10539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-15)))**(7\/3) assuming h is positive.\nAnswer: h**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -1\/10*q**5 - 1\/9*q**3 - 7*q + 1\/6*q**4 + 0*q**2 + 1\/45*q**6 + 0. Suppose o(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 15*c**2 - 12*c - 15. Let w be y(14). Let k be (-6)\/39 - (-2)\/w. Suppose -3*f + 4*f + 5 = k. What is the nearest to 2\/23 in 0.4, f, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(130) + (sqrt(130) - (sqrt(130) + sqrt(130)*-2))*5)\/sqrt(10)).\nAnswer: -6 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 3 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b**3 - 21*b**2 + 3*b + 9 = 0 for b.\nAnswer: -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -103*b + 29133. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + 49\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.6, -0.02, -21\/8 in descending order.\nAnswer: 14.6, -0.02, -21\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.7. Let h = 0.2 - z. Which is the third smallest value? (a) 0.4 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 53. Let m = 6 - i. Which is the second biggest value? (a) 2\/11 (b) -1\/11 (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-10)*1\/3. Let s = -20769\/2 - -10384. Which is the fourth smallest value? (a) s (b) -2\/19 (c) h (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 3:25 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16117622 is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, 0, 3, -1 in descending order.\nAnswer: 18, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39744 by -621.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a + 1. Let b(g) = -g**2 - 6*g - 3. Let v be b(-4). Let r(p) = 5 - 1 + 8*p**2 - 9*p + 14*p. Let n(t) = v*d(t) - r(t). Calculate n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/10 - (-70)\/4. Suppose -3*d = -x - 7. Suppose -f - 2*f + 27 = 0. Calculate the lowest common multiple of d and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213 - 10?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-4 + sqrt(162))*5 + -2 + 4)**2*-5.\nAnswer: -65085 + 22950*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*v - 12*v - 20*v)*(0 + 2 - 1) - 17*v - 7*v - 4*v + (3 + 1 - 2)*(-2*v + 4*v + 0*v) - 3*v - 1 + 1.\nAnswer: -89*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1516984617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 275724317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 21464*l - 37913*l + 18995*l as y*l + c and give y.\nAnswer: 2546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 226*l - 430. Calculate the least common multiple of 16 and x(3).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 22 + 89 - r - 67 + 42. Let j(v) = -v. Calculate j(t(i)).\nAnswer: i - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25983580 to the power of 1\/2, to the nearest integer?\nAnswer: 5097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + (-103 - -165) - 222.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141? (a) -4\/157 (b) -26 (c) -3 (d) -2 (e) 2 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50869907.\nAnswer: 11, 4624537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349571 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -80, -78, -76, -74?\n\"Answer: 2*k - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46128 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 158216.8 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101200103 (base 4) to base 3.\nAnswer: 10122100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*v + 97*v + 8. Let f(z) = 6*z**2 - 4. What is f(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-18)\/z)\/((z\/(z**11*z*z))\/z))\/((z*z\/z**7*z)\/z)**(13\/3) assuming z is positive.\nAnswer: z**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 31915.231?\nAnswer: -2553.21848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(27)*2 + sqrt(27))**2 + -5).\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2616600 and 2093280?\nAnswer: 10466400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4303031 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 35 + 5*h**3 - 35 + 2*h**2 + 72 to the form t*h**2 + v*h + r*h**3 + p and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 64 + 36 = 0. Let r be 30\/(4 - 10\/5). Suppose -r = -3*v - 2*g - 3*g, 0 = 5*v - 4*g - t. Which is the third smallest value? (a) v (b) 3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 2}. Give prob of sequence ycc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -1, -3, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559.15 millimeters in meters?\nAnswer: 2.55915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 + 136*j + 36*j**2 - 6088652*j**3 + 6088651*j**3 - 420 = 0.\nAnswer: -5, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -6 + 2 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 121220313 (base 5) to base 7\nAnswer: 4563023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 527, -65, -1775, -4603, -8549?\n\"Answer: -559*n**2 + 1085*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 305*l - 11*l - 361*l - 19 + l**2 as b*l + r*l**2 + h and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 1, i: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llgii. What is prob of picking 1 l, 1 g, and 2 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14\/6*(-162)\/(-189)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 1\/4 (b) 34\/11 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b*b\/(b\/((b*(b**(-2\/25)*b)\/b)\/b)*b)*(b**(5\/2)*b)\/b*b**(-2\/13))**(3\/19) assuming b is positive.\nAnswer: b**(14169\/12350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1823229 is divided by 1712?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 20 = -2*y, 5*u + 33 + 3 = 4*y. Suppose 0*w = y*w - 36. Let b = -28 - -100. What is the greatest common divisor of b and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -23, -7, 15, 43, 77?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 239*u + 158. List the prime factors of i(16).\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77287772*d - 1890 + 411 - 77287773*d to the form y + w*d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-5) - 3)*-185. Suppose -5*d - 3*h + 5*h = -a, 2*d - h = 59. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 1. Let j(u) = -5*u - 2. Let s(x) = 6*c(x) + 3*j(x). Let h(p) = 32*p**2. What is s(h(z))?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1527 greater than or equal to -13.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/51)*q**42)\/((q*q*q\/q**(-15\/11))\/q)**(-49\/4) assuming q is positive.\nAnswer: q**(186623\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2779 - -10.\nAnswer: -2769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 - 283. Let w(r) = -r**2 - r + 7. Calculate w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swvqqstcc. What is prob of sequence sqsc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*y = -12, -13 - 4 = 5*a - 4*y. Let p = 2841\/98210 - 1\/2806. Is a at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121*a**2 + 4756*a - 1701490 wrt a?\nAnswer: -242*a + 4756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9050 and 905.\nAnswer: 9050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.2, 14, 0.07 in ascending order.\nAnswer: 0.07, 0.09, 0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**3 - 2454*r**2 + 605*r - 2745. Calculate t(-307).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(154\/28 - 13)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, y: 10, r: 2, f: 4}. Give prob of sequence lfyr.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 + 317. What is the remainder when d is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**3\/3 + 3*s**2 + 5*s + 1. Suppose 4*v = 8*v - 20. Is 5 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let f(q) = 6*q + 6. Let x be 1 + (18\/3 - 8). What is x*f(c) + 4*v(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 5*n - 2*n + n + 2*n - 5*n + 3 - 3 - 3*n + (0*n - n + 0*n)*(3 + 1 - 2) + 2*n - 3*n + 3*n - 160*n - 16 + 79*n + 76*n to s*n + d and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-66)\/22\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 667544640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*((-2)\/7 - (-4)\/(-35)). Put -91, w, 4 in ascending order.\nAnswer: -91, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1941*i - 1865*i - 380. Solve i*t = 3*d + 11, -3*d + 28 = 4*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.3 - 42.3. Sort 6\/11, n, 2\/3, -0.003 in descending order.\nAnswer: 2\/3, 6\/11, -0.003, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1082361 by -529.\nAnswer: 1082361\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1774 + -438?\nAnswer: -1bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536972.\nAnswer: 2, 134243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 1. Let x be f(-2). Suppose 0*n = x*n - 10. Let j be 0\/(2*-2 + 2). Solve j*i - i = n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199469 (base 10) to base 16\nAnswer: 30b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2049\/(-5400) - 123\/(-328). Is i at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244\/15*y - 448\/3 - 2\/15*y**2 = 0. Calculate y.\nAnswer: -112, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149267 - 105722. List the prime factors of f.\nAnswer: 3, 5, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 7*d**2\/4 + 17*d\/2 + 10 = 0.\nAnswer: -10, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38808 and 19404.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382943.\nAnswer: 11, 31, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y - 55. Give d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 205 = -2*r + 2*r - 10*g - 215, 3*g - 30 = -3*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 6, -1064?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t. Let m(g) = -136*g**2. Determine r(m(u)).\nAnswer: 272*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.1263034.\nAnswer: 0.1263034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o + 2. Does 37 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.83 + -0.17. Let w = 7 + j. Let n = w - -7.5. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -20*h + 3. Let s(u) = -25*u + 4. Let n(i) = 4*f(i) - 3*s(i). Let d(l) = -l. Determine 44*d(b) - 4*n(b).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -1301*t**8\/168 + 32*t**4 - 10*t**2 + 37*t. Find the second derivative of s(p) wrt p.\nAnswer: -52040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 35733964\nAnswer: -3573396.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(228) + 1*sqrt(228)))\/(sqrt(12) - sqrt(108)*2))**2.\nAnswer: 4*sqrt(19) + 701\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 357?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 12 = -13*a. Suppose -2*h = a*h. Suppose h = 9*d - d - 1664. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-1\/4))\/y)**26*(y**(-2))**45)\/((y**1)**(-14\/13)*(y**(2\/9))**(2\/15)) assuming y is positive.\nAnswer: y**(-198149\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 1985 - 466. Let t = -202 - x. Solve -2*h - h + t = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*w = 20, 5*b + 5*w + 10 = 3*w. What is the closest to -1 in b, -3, 0.05?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 10. Let g(k) = -k**2 + 6*k - 2. Let x be g(h). Suppose 0 = -4*j - x + 15. Solve -c = 2*c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 11 - 5. Suppose -2*h - 1760 = -4*m, -4*h - 450 = -m - q*h. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/z*z*z**(-6)*((z*z*z**(1\/10))\/z)\/z**(2\/3) assuming z is positive.\nAnswer: z**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 6*g - 6*g)*(2 + g - g + 2*g).\nAnswer: -8*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-2) + 3\/(-2). Let c = 0 + b. Solve -4*o = -2*o + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20542*0.52\nAnswer: 10681.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96255590 a multiple of 2735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*d + 22*d - 15*d)*((-2 - d + 2)*(2*d + 3 - 3) - d**2 + 5*d**2 - 3*d**2) in the form a*d + p*d**3 + h + o*d**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-80) - ((-7)\/(-4) - 2). Suppose l + w + 4 = -3*l, 2*l + 12 = 2*w. Let u be 2*l*(-1)\/(-16). What is the third smallest value in p, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 0.1. Let w = 1 - b. Let v = 1.8399 + -1.6399. What is the closest to w in 0.3, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866187439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 19*w = 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 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: Rearrange 5537*u - 1 + 1 - 7813*u to s + k*u and give k.\nAnswer: -2276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + (-212)\/(-6). Calculate the remainder when (1*2)\/(2\/b) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1032450 and 39450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19*(2 + (1 - 0)). Let i = -9519 - -9519.2. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806427?\nAnswer: 3, 89603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -631, -1431, -2541, -3955, -5667, -7671?\nAnswer: -9961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from qjzttjqqztjtqeqttq.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38931454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.055 + -0.055. What is the smallest value in -0.5, 12, w, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011044201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9330 and 265760?\nAnswer: 247954080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/28*4 + 24\/56. What is the closest to -2\/7 in s, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56014 - 17252247\/308. Find the common denominator of r and ((-105)\/(-84))\/((-2)\/6).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 705, 1364, -4 in descending order.\nAnswer: 1364, 705, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953282 is divided by 63551.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5369 + 5399. Calculate the remainder when 251 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*q + 270, 601 = c - 4*q + 326. Calculate the remainder when 298 is divided by c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058129601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5202966, -5203020, -5203074, -5203128, -5203182?\n\"Answer: -54*p - 5202912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22598\/48 - (6 - (-16)\/(-3)). Let r = z + -470. Which is the second smallest value? (a) r (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:37 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -10*b + 65. Let l = b - -16. Suppose 4*h = l*h + 15. What is the greatest common factor of h and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 12, q: 1, c: 4, k: 1, r: 1, g: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006032 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -68, -94, -140, -212?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5194)\/(-28) + (-2)\/(-4).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36e4c (base 15) to base 6\nAnswer: 3431443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.6356047 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -274 from -2256550050228.\nAnswer: -2256550049954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*-3*(-38)\/(-741).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 3*v. Let p(q) = 5*q**2 - 7*q. Let z(f) = -14*h(f) + 6*p(f). Let d(j) = -19*j. Calculate z(d(u)).\nAnswer: 722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*m + 127 = -2334 - 1529 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - (-299)\/(-99))*(-10062)\/(-5590))\/(56\/10)\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 - -113. Suppose 2*v + 4837 = m*n + 1179, -v = -2*n + 1464. What is n rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeezzeezee. Give prob of picking 1 z and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -45451 at least as big as -45466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let z(y) be the first derivative of 5*y**2 - 6*y + 3. Let t(k) = -6*s(k) + 2*z(k). Find the first derivative of t(j) wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365 + 4553 = -486*v + 9718 + 5106 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(65\/95) - 7719\/(-403)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*g - j + 16, 0 = g + j - 8. Suppose -g*q + 9 = -107. Suppose -i - i + 20 = 0. Calculate the remainder when q is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 890744000 to the nearest 1000000.\nAnswer: 891000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 974, 970, 966, 962, 958?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**6\/3 - 6*s**5\/5 - s**4 + 4*s**3\/3 + 3*s**2 + 2*s + 8. Factor o(x).\nAnswer: -2*(x - 1)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -14*w**2 - 234*w + 320. What is d(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1765\/7766*((-18)\/15)\/(-3)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -1\/9 (c) 5 (d) 1.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 - 2*q. Let z be x(3). Let h be (12\/10)\/(z\/(-380)). Let s = -666 - -704. What is the greatest common factor of h and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 52. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 5*u + 4. Determine d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0831 and -9869.7510783.\nAnswer: -9869.6679783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 233 and -175.\nAnswer: -40775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 9, j: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -105.568087*0.5\nAnswer: -52.7840435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (10005*v**2 + 2*v**3 - 5025*v**2 - 4983*v**2 - 2*v + 130)*(2 + 2 - 6)*(0 + 2*v + 0)*(2 + 2 - 3) as a*v**3 + k*v + d*v**2 + y*v**4 + h and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 5*t - 3. Let p be a(-4). Let d(m) = 14*m**4 - 4*m**2 - 12*m + 2. Let k(v) = v**4 - v. Let i(s) = p*d(s) - 12*k(s). Factor i(q).\nAnswer: 2*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -72?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 a, and 1 f when four letters picked without replacement from {f: 2, a: 1, h: 2, r: 6, e: 3, d: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 11 - (13 - (27 + -21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1140 + -2053?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 8. Let h(q) = -c*q - q + 10*q + 0*q. Let o(y) = -y**2 + 6*y - 6. Let w(f) = f**2 - 5*f + 5. Let z(n) = 5*o(n) + 6*w(n). Give z(h(m)).\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from auukqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*f - 31 = 0, 3*a - 2*f - 25 = 2*a. Suppose a*h = 20*h - 141. List the prime factors of h.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - -0.5. Suppose 0 = -r - 3*q + 6, 10*r = 11*r - 5*q + 10. Let u be 0 - (-2 - (r - 3)). Which is the closest to 0? (a) p (b) 1.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and (-1)\/(-12) - (-6847)\/24108.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g**2 + 482*g - 1452. What is the remainder when 1832 is divided by w(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868899 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323*j**3 + 2618*j**2 + 172*j - 232 = 0. What is j?\nAnswer: -58\/189, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 449586937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 11) in base 3?\nAnswer: -10201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t = -35. Let o = t - 36. Let g(u) = -4*u - 2. What is the units digit of g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let r be 2\/11 + (-128)\/(-22). Let k(s) = -154*s - 187. Let v = -366 - -179. Let f(z) = -5*z - 6. Let t(g) = r*k(g) + v*f(g). Give t(x(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 28*v - 50. Let i(a) = 13*a - 24. Let s(n) = -13*i(n) + 6*q(n). What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 2*u + 9*u + 82 + 82 + 79 - 32*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 + 3*b - 2. Let x(n) = 7*n**2 - 5*n + 3. Let t(d) = 5*j(d) + 3*x(d). Let k be t(1). Suppose 40 = 5*g - k. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 147 = -33. Solve 2*v = -3*s - v - n, -3*s + 3*v = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - r + 2)*(2*r + 0*r - 3*r) + (0 + 0 - 3*r**2)*(7 - 3 + 2).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 388 = -2*b - 2*b, -2*b + 189 = -3*c. Let f be b\/(-140) + (-2)\/(-7). Let j = 0.02 + -5.02. What is the biggest value in -0.5, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 3\/((-3)\/(-55))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*d**2*m - 3125375*d**2 - 2091246*m + 33 wrt d.\nAnswer: -46*d*m - 6250750*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + 1*sqrt(180) + 0 - (sqrt(180)*-1*-5 - sqrt(180)))**2 - 1*sqrt(605)*2*-6) + 1)*3.\nAnswer: 396*sqrt(5) + 2163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/163331 and 19\/167.\nAnswer: 27276277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*n + 15, 0 = 5*y - n + 5 - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5158326 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 1132*m**2 - 17597*m - 1658. Give l(550).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(95)*2)\/sqrt(5) + sqrt(19) + 3 + (2 + sqrt(76)\/sqrt(4) - (sqrt(19) + -4*sqrt(19)*2)))**2*2.\nAnswer: 88*sqrt(19) + 4606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {j: 1, c: 2, q: 1, w: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 295, 2\/5, -4, 0?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 18 = -o - 2, 5*s - 5*o = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17786723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r - 2. Let v be d(3). Suppose 0 = w - 4, 2*l - 5*w = 4*l + v. Is 2 - (0 + l + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*g + 6134 + 14090 = -819*g - 3954 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 25*b - 239. Let t be f(-16). Let p = 227 - t. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216 - 139. Differentiate 3*y + 8*y + 15*y - j*y + 28 wrt y.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68706 is divided by 170.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/84 - (-45)\/180) + 215\/(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 26906?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 6454 = -5111 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 11. Let c be o(-7). Suppose c*x = 11*x - 392. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z + 1. Suppose 0 + 8 = -4*g. Let v(q) = 84*q**2 + 21*q + 4. Let o(s) = g*v(s) + 6*c(s). Factor o(u).\nAnswer: -2*(9*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*q - s - 2, -5*s - 8 = 3*q. Let u(n) = 32*n + 2. Give u(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21829936 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/3, 1\/4, -107?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 1. Let f be h(1). Suppose -3 = -f*q + 29. Is 17 a factor of (q - -1)*104\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 3*o + o)*(-1489 - 1232 - 2793) to j + q*o and give q.\nAnswer: -11028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 - 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 53*a - 325. Let f be m(6). Let j(o) be the first derivative of -o**4\/2 - 3*o**3 + 2*o**2 + 6*o - 2. What is the tens digit of j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(34*x**4 - 93*x**2 + 93*x**2 + (-2 + 2 - 2*x)*(3*x**3 - 4*x**3 - x**3) - 8*x**4 - 21*x + 21*x).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767751 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*s, 0 = 5*x - 2*s - s - 15. Let r = 10031 + -10013. Which is the closest to x? (a) 3 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 6, u: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 15*k**2 + 14*k - 3. Let y(f) = -3*f + 1. What is the remainder when w(7) is divided by y(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmoo when four letters picked without replacement from dmomomo.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - 0.2. Let r = -219880\/13 - -16914. What is the second biggest value in z, r, 5, -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*(q\/q**(-14))\/q*q*q))\/((q\/(q*q**(-18\/11)))\/q))**(4\/11) assuming q is positive.\nAnswer: q**(-820\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66816519, 66816518, 66816517, 66816516, 66816515, 66816514?\n\"Answer: -c + 66816520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569663 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 0*i**2 + 0*i**2 + (-9*i + 6*i - 2*i)*(-i + i - 3*i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*y = 178*y + 1056. Calculate the greatest common divisor of 552 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from atxhaaaaahtxxhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let n(b) = -b - 4. Let d be n(-5). What is the second derivative of 2 - d - 1 + 3*w - 4*w**m wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/23*m**2 + 62\/23*m.\nAnswer: -2*m*(m - 31)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(1 + (-3)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.786 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 9*b + 9*b + 19*b as m + n*b and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 5*q + 0*q)*(-3 - 2 + 4 + (0 + 0 + 2)*(0 - 2 + 4)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 18}. Give prob of sequence qqf.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 89 + 124 = 5*u, 0*j + u + 3 = -j - j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 10*z - 7. Suppose -4*i = 3*i - 28. Let o be y(i). Suppose -2*k - 10 = -4*k. Solve -2*t + k = -o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/8)\/(6\/4616). Let i be (-3)\/(2\/4 - c\/2284). Suppose -2*b + i = 3*g - 0*g, 0 = 4*g + 2*b - 760. Round g to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135193?\nAnswer: 19, 59747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -426, -638?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-60)*((-6)\/135 - (-24648)\/1755)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78151\/19 bigger than -4112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**37*q*q)**(-2\/29)\/(q\/(q\/(q*q\/q**(-19)))*q*q\/(q\/(q*q**(-20\/9)*q)*q)*q) assuming q is positive.\nAnswer: q**(-6386\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 10\/(-8)*(-121 + -167).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005576689 rounded to 4 dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 43.1. Let v = u + -42. Let q = 1.5 - 1. Which is the biggest value? (a) q (b) v (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-35\/6)*(h*h*h**(-2\/13)*h)\/h**0 assuming h is positive.\nAnswer: h**(-122\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + (-135)\/35)*-56 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 179, 181, 183, 185, 187, 189?\n\"Answer: 2*z + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/113 - -445\/791. Which is the closest to 2\/7? (a) x (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 286697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/3 + 2498*o**2\/9 + 2258*o\/3 - 29330\/9 = 0.\nAnswer: -5, 7\/3, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u - 1723. Calculate the remainder when r(89) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 18 = 3*i, 1898*n + 6 = 1900*n + 12*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 7*j + 4 = -6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -3440\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -75.6 (c) 1 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15*-20)\/((2\/10)\/((-6090)\/(-1450)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 0*j**4 - 2*j**4 + (97863 + 46*j**2 + 10*j**3 - 97863)*(1 + 2 - 5)*(j - 1 + 1)*(2 - 2 - 2) as b*j + o*j**3 + z*j**2 + m*j**4 + u and give o.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -4*m + 4*q - 41, 0 = 4*q - 12. Let s = m + -31. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111000001110100101 (base 2) in base 8?\nAnswer: -4701645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 6. Let h(z) = z + 3. Suppose -28*n + 27*n - 18 = 0. Let d(j) = -j**2 - 21*j - 58. Let c be d(n). Give c*r(i) - 7*h(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 0.05, -5, -48.777?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 1\/6*g**4 - 2*g + 0 + 1\/2*g**2 + 5\/6*g**3. Is 6 a factor of p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.5 + 7.5. Which is the second smallest value? (a) -0.3 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u. Let v(n) = -2*n. Let w(l) = -26*v(l) - 6*y(l). Let g be (-9)\/(-6)*6\/3. Let c(d) = -2*d - d + d**2 + g*d. Determine c(w(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 999, 2207, 3841, 5865, 8243, 10939?\nAnswer: 13917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12966542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7329.486 months?\nAnswer: 610.7905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k + 5, k + 110 = -3*l. Let j = -6736 - -40537\/6. Calculate the common denominator of 8\/l - 146\/72 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.3 (c) 0.5 (d) -8\/4929 (e) 3 (f) -2\/7 (g) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 - (-2216)\/(-72). Let v(x) = 3*x - 5. Let t be v(-5). Let a = t - c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -23 + -50 + -12 - (-6 - (-2 - 5)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, -18, -13.\nAnswer: -18, -13, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7741 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1190.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 152*y + 17. Suppose 3*v - 3 = -2*v - 3*d, d - 8 = -4*v. Suppose -10 = -v*j + 17. Is w(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cocb when four letters picked without replacement from cwzzcbou.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f. Suppose 3*p - 13 = -g - f, 4*g = 16. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - u + 1. Let n(x) = 36*x**3 + 33*x**2 - 33*x + 33. Let y(j) = -4*j**2 + 166*j + 150. Let z be y(42). Determine z*q(k) - 2*n(k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 25*w + 1 - 31*w**3 - 13*w**3 + 2 - 3.\nAnswer: -61*w**3 + 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z. Let g(n) = 29416*n**2. Calculate w(g(p)).\nAnswer: -147080*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u*u)\/(u*u**16*u) assuming u is positive.\nAnswer: u**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.3 - -37.29172. Round x to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200002122211 (base 4) to base 7\nAnswer: 131246266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o - 2*o)*(0*o**2 - 3*o**2 + o**2) + o**3 - 2*o**3 + 3*o**3 + (-6*o + 2*o + 3*o)*(0*o**2 + 2*o**2 - o**2) + 0*o**2 + 2*o**3 + 0*o**2.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -178924 >= -1252466\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4974988 from 37827.8.\nAnswer: -4937160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 254*i - 57777. Calculate l(145).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvvvvj. Give prob of picking 2 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-7))\/((-1044)\/(-20097)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20596508.57 and -0.109.\nAnswer: 20596508.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 124\/(-1*(3 - 2)). Is 10 a factor of ((-1)\/((-6)\/w))\/(108\/(-810))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 + 0*s**2 + s**2)*(-s - 4*s + 3*s)*(2 - 1 - 3) to the form d*s + a + m*s**2 + h*s**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 1. Suppose 4*i + 22 = 2. Let w = 1 - i. Solve -w*d = 5*r - 2*d - 30, -4*d = -u*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from snsstssxsnsntuunt.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 23*l + 74. Let f be h(-19). Let y(g) = 16*g**3 - 2*g**2 - 2. Let n(x) = -x**3 + x**2 + 1. Determine f*n(a) - y(a).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786860 + 12377*p**2 - 786860 + 1396*p**2.\nAnswer: 13773*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-9)\/15*1). What is the fourth smallest value in d, -1\/2, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 0. Suppose y - 4*y + 168 = i. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*r - 35 = 1, -3 = -10*a + r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:23 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 8) in base 16?\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let n(v) = -999*v + 162. Let r(u) = -50*u + 8. Let w(t) = 4*n(t) - 81*r(t). What is i(w(b))?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -15 + -4 - -20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u**3 + u + (4*u + 2*u - 4*u)*(-3 + 0 + 4)*(-5*u**2 + 0*u**2 + 3*u**2).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(sqrt(68) + 1 + sqrt(68) - sqrt(68))**2*-2 - ((sqrt(68) + sqrt(68) + -1)**2*-3 + (-2*(0 + sqrt(68)))**2)).\nAnswer: 8*sqrt(17) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 - 64*p + 12. Let y = -16814 + 16803. Calculate j(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 21*g**4\/4 + 62*g**3\/3 - 3*g**2 + 20. Find the first derivative of p(m) wrt m.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -1077.\nAnswer: 113\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13862644 at least 13862641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 9*n - 9. Determine z(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -28, 22, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and 1643042856.\nAnswer: 1643042846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2750523438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9314069 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1954 + 1955 - 7809 + 1947 + 67*t**2 - 58*t**2 + 1953.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = 77*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/(6\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 33*x**2 + 11*x + 4271. Determine z(25).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*k = -173, 2*k - 422 = -3*n - 2*n. Suppose 3*t = -3 - 6. Let j = t + 59. What is the greatest common factor of n and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-10)*3730\/(-10444). Let h = -94755\/4 + 23555. Let s = h - -133. Which is the second smallest value? (a) 4\/5 (b) -2\/11 (c) x (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*u - 21 + 5, 36184 - 36204 = -2*u - 2*g for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 9142296 divided by 3047432\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-8*33\/(-6). Let d(z) = 3*z**2 - 7*z. Let l be d(-5). Calculate the greatest common factor of a and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*1 - sqrt(121))*-5)\/(-1*sqrt(44)) - (2*sqrt(44)\/sqrt(4) + ((sqrt(11) + 2)*-4)**2))*-5.\nAnswer: 330*sqrt(11) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 26570 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 303, 408, 529, 672?\n\"Answer: i**3 - i**2 + 91*i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = 5*o + 5*o. Let f be (-4)\/30*o\/(-100). Which is the third smallest value? (a) f (b) -1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -6. Suppose -4 + y = -p. Solve 0 = -5*n + h - 15, n - 5*h = 2*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5767537 - 1040.\nAnswer: -1038.4232463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07176 - -0.27176. Let k be 1\/(2*(-1)\/118). Let b = k - -355\/6. What is the third smallest value in f, -3, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 4*l - 20, -4*w + 3*l + 25 = 0. Suppose c = 2*c + q + 1, -2*c + 2 = w*q. Is c smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*z + z = 21, 2*o - 2*z + 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/(k\/(k\/k**(-2)))*k**(1\/6)\/((k\/(k**(-3\/4)\/k*k))\/k) assuming k is positive.\nAnswer: k**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94202 by 19.\nAnswer: -4958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 6*r**2 + 0*r**2 + 2*r**2 + (0 + 3 + 1)*(-r**2 - 5 + 5) + 93 - 93 + 61*r**2.\nAnswer: 53*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1217236*k**2. Let g(a) = -a. Determine g(z(i)).\nAnswer: -1217236*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3\/9820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227054.\nAnswer: 2, 107, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 + 96. Let q be o + 3\/1*8\/(-6). Solve q*g + 2*g - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 + 328*p + 0*p**2 - 211\/6*p**3 - 51\/2*p**4. What is the second derivative of t(j) wrt j?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9477 - 9542. Does -33 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:41 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 212 = 2*o - 258 - 116, -5 = o for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 212. Let i = k + 262. What is the remainder when i is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from qnb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305805315?\nAnswer: 5, 7, 89, 419, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276685 >= 16383423\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 20*n**3 - 5*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + -6698)\/(-1) + (42 - 37).\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 + 5*c + 6. Let n be x(6). Suppose 0 = b - 0 + 2. Let g = b - -6. Sort g, -2, n in decreasing order.\nAnswer: g, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/8 - 1164403*r**3\/4 + 1355825031153*r**2\/8 + 1355839004021*r + 2711687323298 = 0 for r.\nAnswer: -4, 1164407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -22. Solve -q + o = 2*c, 7*c - 28 = 3*c + 4*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 519*c*h**2*o**2 - 61*c*h*o**2 - 2*c*h*o - 46*c*o**2 - 3947363*h**2*o - 2 wrt o?\nAnswer: 1038*c*h**2 - 122*c*h - 92*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 + 145547.\nAnswer: 145546.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 4, o: 7, y: 3, w: 1}. Give prob of picking 1 y, 2 m, and 1 w.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-1)\/((-2)\/(-1))). Let a be 2\/q - (-356)\/12. Let t(p) = 8*p**2 - 307*p + 2265. Let b be t(29). Calculate the greatest common factor of b and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098160 + 1098160 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -135. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-75 + 4141\/82).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 11. Let o(m) = -11*m + 23. Let q(y) = 6*o(y) - 13*z(y). Let l(k) = -k**2. What is l(q(f))?\nAnswer: -f**2 - 10*f - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.68 - 36.68. Sort 557, -0.5, h, 3 in descending order.\nAnswer: 557, h, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0.09?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**3 + 3*r**2 + 38*r + 39. Let f(l) = -2*l**3 - l**2 + 5*l + 8. Let m(z) = -6*f(z) + s(z). Let g = 17 + -7. Give m(g).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -6. Let b be 8\/s*12\/8. Let y be b + 4 - 26\/2. What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3153 + 3983?\nAnswer: 6b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 24*q + 5.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -821930, -1643936, -2465942, -3287948, -4109954?\n\"Answer: -822006*y + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)*(2 - 1). What is the units digit of -1 + o - -2 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441002339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 7*m + 7. Let b(c) = c**2 + c - 1. Suppose 2*z = -0 + 2. Suppose -4 = -5*l + z. Let s(f) = l*t(f) + 4*b(f). Give s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94.5 + -94.1. Which is the closest to -2? (a) -4 (b) -3 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + 249. Let p = 282.999719 - c. Round p to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30936 - 11*c**2 + 0*c**2 + 15466 + 15470.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + g**2 + 31 - 73 + 29. Suppose -3*v - 36 = -7*v. Determine w(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d + 2. Let f be m(3). Let v = 124 + f. Calculate the smallest common multiple of 10 and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 6:16 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2407929*i = -2407928*i + 3*b + 50 - 16, 14 = 4*i - 3*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/12 and -34\/43953?\nAnswer: 175812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a factor of 1748468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5729, -5698, -5641, -5552, -5425, -5254, -5033, -4756?\nAnswer: -4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 627 - 627. Let q be 4\/(3\/(-12)*-2). Let s = q - 3. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2806560 divided by -4.\nAnswer: 701640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)*z*(z**6*z)\/z)**(-37) assuming z is positive.\nAnswer: z**(-2035\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 26 = -2*g + 3*j + 24, -6*j + 2 = -34 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 5*c**2 - 6*c + 3. Let h(u) = u**2 - 12*u - 19. Let l be h(13). Let k be r(l). Solve n - d = 2*n - 1, -3*n - 3 = -k*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005524122 rounded to 5 decimal places?\nAnswer: 0.00552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 + 10. Calculate the least common multiple of 4 and z(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -866485\/36 + 24071. Calculate the common denominator of j and (-255)\/144*-2 - -2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-238)*(-952)\/(-374)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 4 (c) 24\/67 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11535*u - 4*t - 20 - 52 = -11531*u, -56 = -3*u + 2*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404983.\nAnswer: 404983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247175296.\nAnswer: 2, 23, 113, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**6\/15 + 25*j**3\/6 - 8*j. What is the second derivative of f(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(-5*42\/980)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16.63392 days?\nAnswer: 399.21408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7465, -29843, -67141, -119359, -186497, -268555?\nAnswer: -365533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134068 is divided by 7886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.01. Let l = 0.07 - y. Let v = 0.17 - l. Round v to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose h = -h + t. Suppose -q + 5*q + h*j - 12 = 0, 5*q - j = 8. Solve q*w + w + 13 = 4*g, -2*g + 14 = -4*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = 5*l, -a + 12 = l + 2*l. Solve -y + 9 = l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 703.640288 and 3.3.\nAnswer: 706.940288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - 4*t + 25 + t + 0*t - 2*t - 2*t - t - t + (5*t - 4*t + 0*t)*(0 - 4 + 5) + 3*t - 6*t + 2*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02121063*3.\nAnswer: -0.06363189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-177)\/2006)\/((270\/85)\/(-9)))\/((-2)\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 120 = -20*h. Suppose -6006 = -h*f - 18*f. Calculate the remainder when f is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002736784747 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 1546*l + 40260. Determine b(27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 39467.\nAnswer: 2\/39467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 7. Which is greater: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 0*i - 2*i**2 + 5\/2*i**3 - 1\/60*i**5 + 11\/24*i**4. What is the units digit of n(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 1 = 3*u, 4909*a + 3 = -u + 4906*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/230)\/(1\/(-60))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1262*z**4 - 618 wrt z?\nAnswer: -5048*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11336 - -23572. List the prime factors of s.\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x**4\/3 - 81*x. Let h(r) = -9*r. Calculate h(k(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.03, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*l - 4. Suppose -4*p - 5*h - 6 = -2*h, 4*p + 2 = -5*h. Suppose -5*c - 26 = -36. Sort 4, p, l, c.\nAnswer: l, p, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = f, 2*u + 5*f - 3 + 4 = 0. Solve -l - l = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135535901*u**3 - 961727*u**2 + 105*u wrt u.\nAnswer: 813215406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78.706 + -82.1. What is t rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 2*v + 5. Let z be k(4). Let i be z\/(-9)*(4 - -2). What is the units digit of -3 - (-2)\/(i\/49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 8309. Let s(a) = -a**2. What is s(o(q))?\nAnswer: -4*q**2 - 33236*q - 69039481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(5))\/sqrt(12) + 4 + -5*(sqrt(45) + 0))**2.\nAnswer: -112*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -567957 greater than or equal to -567927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 57*o**3 + 2560*o**2 - 201*o + 1080. Calculate u(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 + 4*m**5 - m**2 - 3*m**5 + (-3*m**4 + 4*m**4 + m**4)*(0*m + 0*m - 3*m) - m**3 - 2*m**5 + m**3 - m**5 + 5*m**5 - 3*m**5.\nAnswer: -6*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -40\/9, 0.051, -2\/5, 495 in ascending order.\nAnswer: -40\/9, -4\/7, -2\/5, 0.051, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from aavaavva?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -968*a**3. Let o be v(5). What is o rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*120\/(-16)*5\/(-50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by -22.\nAnswer: 409\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 22*p**2 + 15*p + 3. Let z(k) = -4*k**3 - 47*k**2 + 31*k + 7. What is 13*d(u) - 6*z(u)?\nAnswer: -2*u**3 - 4*u**2 + 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -19950615.\nAnswer: 1\/19950615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 43, 0, -4, 5, -5.\nAnswer: -182, -5, -4, 0, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -263*h**2 + 4*h - 5. Let m(n) = 269*n**2 - 4*n + 6. Calculate -4*m(s) - 5*u(s).\nAnswer: 239*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9145193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 + 2. Let v(p) = 91*p**2 - 21. What is 21*k(b) + 2*v(b)?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1784 = -0*j. Let w = j - -2546. Suppose -w = -5*g - 127. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 2482112?\nAnswer: 2482126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2377313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxa when three letters picked without replacement from oapxxax?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 283692637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813797 less than or equal to 1813801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gug when three letters picked without replacement from ugugiiugzzgizlg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 24) + 33 + -42 + (3 - -18) - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**2 - 20*p + 88. Let b be l(6). Calculate the greatest common factor of 125 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615473741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074446803 rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 27*g = -22*g + 22, 0 = -5*g - 25. What is the least common multiple of 88 and (0 + p)*(-936)\/(-13)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -6\/7 (c) -1\/4 (d) -2910\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -36*n**5 + 68*n**4 + 260*n**3 - 692*n**2 + 352*n + 48 = 0.\nAnswer: -3, -1\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47652882?\nAnswer: 2, 3, 149, 151, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 54. Let w be 3\/k + 61\/38. What is the closest to -1 in w, 2\/9, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -40. Let g(c) = -c**3 - 6*c**2 - 6*c - 4. List the prime factors of g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -5 (b) -6 (c) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 4}. What is prob of picking 2 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -190. Let q(s) = -f*s - 33 + 4*s + 32. Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -731089.81 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*i + 6 = 0, 4*i + 12 = -0*u - 2*u. Let o(s) be the third derivative of 1\/3*s**3 + 2*s**2 - 1\/12*s**4 + 0 + u*s. Differentiate o(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from yxyxq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.7 (b) -0.4 (c) 6 (d) -5 (e) 526\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Let d be i(4). Suppose 2*t + d = 3*t. Sort -1, -4, t in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67549, 270317, 608269, 1081405, 1689725, 2433229, 3311917?\nAnswer: 4325789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -43*w**4 - 9*w**2 + 46*w**4 + 3*w**3 - 9*w**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*m = -1867*m + 48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkbb when four letters picked without replacement from {k: 2, u: 8, w: 2, b: 5, g: 3}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -9)*33\/(-6). Let c be 0\/((-2)\/(-2) + 4). Solve -v*a + 14*a + 9 = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 30 = -4*f - 4*d, -4*f = 4*d - 36. Is 6 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13009259773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/3 (b) 5 (c) -6\/7 (d) -4 (e) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*k - 60*k - 165219 = -3*w, 0 = 4*w - 4*k - 220292. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/3)\/((-2)\/3))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -156. Let f = 48.0000094 - c. What is f rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + 859. What are the prime factors of z?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -4*u - 7, u + l = -14*l - 43 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1526\/3 - 10607\/21. Suppose w*m**2 + 16\/7*m + 4\/7 + m**4 + 19\/7*m**3 + 1\/7*m**5 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 41 = -5*f, 4*f + 2*z = -3*z. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330\/13 - -5584\/221. Let i = -63590 + 63591. Let g = 34 - 23. Which is the closest to g? (a) u (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/(183\/(-793)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = y - 5*q - 5, 3*y - 4 = -2*q. Let z be 2\/3 - 10\/12. Let i = 33 + -32.6. What is the second smallest value in i, y, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a7 (base 11) to base 13.\nAnswer: 2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 2*m + 5. Let j(n) = 6*n**2 + 2*n - 4. Give 4*f(h) + 5*j(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/11 (b) -0.1 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 4*s**2 + s - 17. Let x be k(-5). Suppose -152 = x*r - 7*r. Let g = r - -30. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 28 + -17 + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/((y*y**0)\/y))\/y)**(2\/59))**(-6\/31) assuming y is positive.\nAnswer: y**(-24\/1829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38658 and 187.\nAnswer: 425238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 1, m: 1, q: 4, e: 7}. Give prob of picking 1 q and 2 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let n = 1 + y. Let a = 81 - 79. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.24 (b) 1 (c) -2\/25263 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 13. Let u = 3 + l. Let g be u\/14 - (-632)\/56. What is the greatest common divisor of 33 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -23*d - 217. Let h(x) = -35*x - 326. Let w(u) = 5*h(u) - 7*v(u). List the prime factors of w(-25).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r - 117. Determine t(5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 7*d**2 - 2*d + 16. What is the lowest common multiple of 16 and c(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (4 - 2) + 4. Suppose -3*k - 36 = -4*f + k, -k = -5*f + 29. Suppose -3 = c*h - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404 and 6445764?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/5 (b) 2\/63 (c) 1 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + (-318)\/(-27) + -2 and -59\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294809887 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4284\/11987?\nAnswer: -4284\/11987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2577, 5145, 7707, 10263, 12813, 15357?\nAnswer: 17895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.03929\nAnswer: -0.0019645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-357)\/102*(-60)\/(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 4, -50, 2 in decreasing order.\nAnswer: 41, 4, 2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/6)*n**(-2\/19)*n*n*n*n assuming n is positive.\nAnswer: n**(539\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1204)\/(-882) + (-12)\/(-63))*6\/24?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 31*r + 16. Let s(d) = -d. Let u(t) = -c(t) - 3*s(t). Suppose u(n) = 0. Calculate n.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 112 = -5*p, -2*h - p + 164 = -38. Suppose -g = 4*q - 57, 21*q = 4*g + 20*q - 245. Suppose 2*t = -2*k + h, -t + 2*k + 2*k = -g. 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 next term in 99, 98, 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17*j - 9*j**2 + 3*j**3 - j**2 - 4*j**3. What is the remainder when 62 is divided by k(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11818 * 2.29\nAnswer: 27063.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386 - 397. Suppose -4*h = y - 0*h - 103, 3*y - 3*h = 249. Let c = y + j. Calculate the remainder when c is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 394257942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/48*((-9)\/7 - -1). Which is bigger: a or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 114\/22 + 16\/(-88). Suppose 2*r - 4*j = 5*r - 76, 4*j - 132 = -z*r. 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 w(b) be the third derivative of -17*b**4\/12 + b**3\/3 + 9*b**2. Let o be w(-2). Suppose 302 = 4*a + o. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295072442?\nAnswer: 2, 7, 21076603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 5. Let d(a) = -a + 1. Let y = -2 - -16. Let w(t) = y*d(t) + 2*n(t). Calculate the lowest common multiple of 4 and w(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + 23*x - 1. Suppose 5*t + 32 = t. Let r be a(t). Suppose -r*o - o = -1248. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 413\/2, 32\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + 2\/(-5). Suppose -35 = -5*l + 25. Suppose -x + m = -l. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282739571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let t(i) = i**3 - 3*i - 9. Let a(f) = -t(f) + 3*y(f). Differentiate a(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:33 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9230.959 - -9222. What is i rounded to one dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 12685 (c) 0.041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -51*d**3 - 1. Let i be u(-1). Suppose i + 90 = 5*j. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n + 1742 = 9*n. What is the greatest common factor of 26130 and n?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518055187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 754 - 752. Which is the nearest to m? (a) 17 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -223*s + 5342 - 5342 in the form x*s + a and give x.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 19*t - 330 = -615 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4655511 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -105 and -5616648556.\nAnswer: -5616648661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200474, -200505, -200536?\nAnswer: -200567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 6*f. Let y(p) = -11*p**2 - 13*p. Let l(h) = -13*x(h) - 6*y(h). Let s(n) = 0*n + 2*n - 4*n. What is s(l(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.78 and -31079792.\nAnswer: -31079791.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 829334289 to the power of 1\/2, to the nearest integer?\nAnswer: 28798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 - 2*k - 9. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:13 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -2\/5, -14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 8. Let o be v(-3). Let h(k) = -k**2 - 4*k + 4. Let m be h(o). Solve 0 = z + 2, 0*z = m*n - 4*z - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-71.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409297*a - 728 = -409245*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(4*s - 2*s - 3*s)*(-5 + 1 + 3).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27857907 and 0.5.\nAnswer: -0.139289535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159491 is divided by 176.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqxqqqxq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose -2*m = m - 6. What is the third derivative of 5*k**2 + a*k**m + 2*k**5 - 4*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-2*(-5025)\/40*2. Let f = 12 - 2. Is (4\/6)\/(f\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (2 - 0)*34\/4. Let f = -3 + 19. Calculate the greatest common divisor of f and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255791\/6385254 + 1\/40413. What is the common denominator of 25\/12*696\/(-60) and a?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -545451 and 53.\nAnswer: -545398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -18*t - 93. Let j(m) = 11*m**3 + 5*m**2. Let n(z) = 5*z**3 + 2*z**2. Determine t*n(i) + 4*j(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 42. Find the first derivative of 7*r - 5*r - a*r**3 + 9*r**3 - 33 wrt r.\nAnswer: -21*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 3. Let f(c) = 3. Let a(o) = f(o) + i(o). Let p(r) = -4*r**2 - 2*r. Determine a(p(s)).\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-1 - -3 - 3). Let a = 9 - 11. Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 3 - (-2)\/(-1). Let m = 2 + u. Let x be 192\/28 - 2\/(-14). Solve x + 9 = -m*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4\/13 (c) -1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:55 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 549 - 415 + 810)*(u**2 + 3*u**2 - 2*u**2).\nAnswer: 2*u**4 - 308*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -7*t**3 + 355*t**2 - 584*t - 196 = 0.\nAnswer: -2\/7, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/30 - l**5\/60 - l**4\/24 + l**3\/3 - 3*l**2. Let y be i(-2). What is the tens digit of (-57)\/(-4) + 8\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2604?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(14\/3)))\/(u*u**(-4)*u)*((u\/((u\/(u\/(u**(4\/5)*u)))\/u))\/u*u*u)**27 assuming u is positive.\nAnswer: u**(446\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 4)*(-2 - 2*m + 2)*(886 - 1082 - 1248) to the form g + s*m and give s.\nAnswer: 14440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/35100)\/((-3)\/75)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6331.\nAnswer: 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409684 is divided by 203250.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90, -361, -816, -1437, -2206, -3105, -4116?\n\"Answer: 3*t**3 - 110*t**2 + 38*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/7))\/h*h**(-2))**(2\/25) assuming h is positive.\nAnswer: h**(-24\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -405, -402, -397, -390, -381, -370?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2221 - -2220.8. What is the fourth smallest value in a, -3, 0, -21\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 494 - 159 - 165 - 170.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 224\/15?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17960420 and 57980?\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45bd (base 14) in base 11?\nAnswer: 9121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 6*d**2 - 19*d - 20. Calculate a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1685, -1067, -37, 1405, 3259?\nAnswer: 5525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5104963 is divided by 4558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 3*u - 69 = 0, -6 = -u - 26 + 17 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*f + 253*f - 1012*f = -54786 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7837519 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 19*f - 320*f = -294 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 4*r - 4 = -18*z, 2*z = -17*r - 49 - 12 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575527581.\nAnswer: 17, 61, 1519313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y)**(-3\/4)\/((y\/y**(1\/5))\/y**(1\/22)) assuming y is positive.\nAnswer: y**(329\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24970 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/8)\/d**(-4\/7) assuming d is positive.\nAnswer: d**(53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 9*m**2 + 30)*(-4 + 3 - 3 - 2*m).\nAnswer: 18*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - v**5 + 3*v**5 + 3)*(-4 + 2 - 1).\nAnswer: -6*v**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-75741)\/(-33) - ((-70)\/77)\/(-5).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 2*o**2 + 3*o**2 + 2*o + 2*o - 2. What is the smallest common multiple of j(1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**4 - a**2)*(-2*a + 0 + 0) + (-a - 2*a**2 + a)*(-a**3 - 2 + 2).\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(150\/(-65)))\/(333\/(-3330))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l. Let y(q) = -q**3 - q**3 + 1 + q + q. Let d be y(-1). What is the units digit of m(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2366*q**2 - 873 - 4726*q**2 + 2362*q**2 in the form t + d*q**2 + u*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47942.\nAnswer: 2, 23971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lms when three letters picked without replacement from {m: 9, l: 1, s: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 1, y: 1, a: 2, h: 2}. Give prob of picking 1 f, 2 a, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1487374, 2974754, 4462134, 5949514, 7436894, 8924274?\nAnswer: 10411654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = -2*j + 6, 0 = -3*j + 3*m + 9. Put j, 4, -5, 77 in increasing order.\nAnswer: -5, j, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*u + 3*u + 25, 3*u + 55 = -4*w. Let j(x) = -x**2 - 3*x + 3. Let y be j(3). Let g = y - w. Put 4, g, 2 in ascending order.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*x - 5 = -5*x, -3*x + 3 = 0. Let c = 3 - f. Solve 4*n + c = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 2*l**4 + 0*l**3 + (l**3 + 0*l**3 - 2*l**3)*(3 - 3 + 3*l))*(3 + 2 - 3).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 57, 180, 377, 666?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3891316610 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/(-1*sqrt(3))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**7\/315 - d**6\/60 + d**4\/9 - 21*d**2\/2 - 7. Let j(r) be the second derivative of z(r). Factor j(x).\nAnswer: -2*x*(x - 1)*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 16 + -5 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-150))\/(10*8\/400).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(9) + -1)*-1.\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/87)\/((-10)\/(-14)*(-13)\/(-13)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 116\/13, -0.6, 1554 in descending order.\nAnswer: 1554, 116\/13, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 15*o**2\/2 + 44*o + 10218. Determine w(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5 + 1 + (-380846)\/(-109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from sxpsppxfspm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*q - 2*u, 18 = -q - 4*u. Let t(o) = -4*o - 3. Let y(m) = -m - 1. Let a(k) = q*y(k) + 2*t(k). Let z(w) = -3*w. Calculate a(z(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q - 23*q - 20*q - 14*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -8. Let d = 862 + -865. Let z be (-11)\/((-2)\/((-10)\/5)). Which is the smallest value? (a) i (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 91*k**2 + 735*k + 242. Let x be m(82). Let j(i) = 2*i**2 + 3*i - 8. Calculate j(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-3\/7)*p)*p*p*p\/(p**(-3)*p))\/((p*p\/(p\/(p*p**(-2\/3)*p)))\/p)**(6\/13))**(-48) assuming p is positive.\nAnswer: p**(-16656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2974*h**2*l**2 + 32*h**2 - 976*h*l**2 - 25*h wrt h?\nAnswer: 5948*l**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -17, -35, -69, -125, -209?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-45)*28\/((-35728)\/(-12)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243\/324*8\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-117))\/(10\/(-3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155 (base 14) to base 6.\nAnswer: -21543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*q + 2*b, -3*q - 4*b = -1 + 15. Let m(j) = 3 - 4 + 11*j - q*j. What is the units digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*i - 4, 4*i + 6 = -3*r - 12. Does 50 divide 218\/(r\/17 - (-288)\/136)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:39 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 101 - 216 - 74*b + 115.\nAnswer: -105*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 912*g = -916*g + 132, 54 - 118 = -4*t - 3*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -10. Suppose 5*o - 3*t = 18, -k*o + 2*o = t - 8. What is the remainder when 4 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -435216 + 51?\nAnswer: -435165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/85, -2\/7, -5056?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 176, -843 in increasing order.\nAnswer: -843, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34806227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/690 - 25*c**4\/138 + 72*c**3\/23 - 1104*c**2. Suppose l(w) = 0. Calculate w.\nAnswer: -54, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-6885)*9 + (-22)\/10)\/(-180).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115621135 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (70 + -65) - -73.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -28738.\nAnswer: 3\/28738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 4*b - 8*b)*(b - b + 2*b**3).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057106 or 1057097?\nAnswer: 1057097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13854408 by -556.\nAnswer: 24918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 + b - 9. Let l(n) = -n**3 - 11*n**2 + 2*n + 20. Let i be l(-11). Let s be (-20)\/i + 9\/(-3). Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 2*d**3 + 4*d**3)*(1 + 2*d - 1) - 5*d**4 + 2*d**4 + 2*d**4 + d**4 + d**4 - 3*d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4999*k**2 + 62 - 126 + 62.\nAnswer: -4999*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let o be c(-14). Suppose 5*s - s = o. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*k - 297, 1 = 5*k - 4. What is the tens digit of (6\/5)\/(4\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1137 - -1265) + 2 + -3 + -8 + 2?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from qgqhhrrhqrrhqghhgh.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-28\/9)*r**(-23)*r*r**(-28)*r*r*r**22*r*r)**(-4) assuming r is positive.\nAnswer: r**(716\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 5*u**2 + 5*u + 4. Let s be y(-6). Suppose -s*b + 8 = -12. Solve 2*k - 17 = 7*k + b*c, -2*k + 4*c - 26 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15378331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.9, 0.5, 3\/2, 14.374?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1717.\nAnswer: 27\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70481*l**2 - 70477*l**2 + 140960*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32257145, 32257150, 32257157, 32257166, 32257177, 32257190, 32257205?\n\"Answer: s**2 + 2*s + 32257142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -15*v + 13*v. Suppose k = -2*o - 3*o - 37, -2*k + v = 0. Let d(m) = m**2 + 7*m - 11. Calculate d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.11168 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -21*w**4 + 20*w**3 - 20*w + 21. Let s(n) = 4*n**4 - 4*n**3 + 4*n - 4. Let b(v) = -2*l(v) - 11*s(v). Determine f so that b(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-5 - -9) + (6 - (17 + -17)) - 51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmdztc. Give prob of picking 1 m and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5367?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*y - 113 = 0, -4*k = -3*k - 2*y - 53. Calculate the remainder when k is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2013 divided by -483\nAnswer: -671\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:17 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 55*i + 754. Let d be l(-25). Put d, 1, 0, 28, -7 in ascending order.\nAnswer: -7, 0, 1, d, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -114 + 117 - ((-4)\/(-6) + (-290)\/30). Calculate the greatest common factor of r and 45516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 3*y + 2*y)*(-11*y + y - y)*(2 - 3 + 4 + (-1 + 1 - 1)*(-1 + 0 + 0) - 1 + 1 - 1 + 2 + 0 + 0) to the form u*y**2 + r*y + b and give u.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -127. Suppose 5*q - n*z + 0*z = 1280, 0 = -2*q - z + 527. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**5 - 6110*r**4 - 5421415*r**3 - 951277680*r**2 - 1886315580*r - 940453200 = 0.\nAnswer: -318, -1, 1860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42201432 (base 5) to base 2.\nAnswer: 1010101100000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 120 - 27)*(-2*y**2 + 5*y**2 - 2*y**2).\nAnswer: 101*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 + 2*o**2 - 3*o**2 - 5*o - 6*o**4 + 2*o**4 as f*o**3 + w*o + m*o**2 + l*o**4 + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59400000 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from kqkakaikh.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**2 + 3*h**4 + 12*h**2 - 30*h**2 + 4*h**3 + h to the form p*h**2 + d + c*h**4 + r*h + u*h**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.3, -2\/9, 0.09, -6\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**7\/14 + u**6\/5 - 3*u**5\/20 - u**4\/2 + 4*u - 16. Factor y(m).\nAnswer: 3*m**2*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = p - 1 - 15, 4*p = -2*j + 24. Let i(x) = -7*x + 6 + x**2 - 3 + 9*x. What is the lowest common multiple of i(-2) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 13 = -3*g. Let r be (0 - 1)*1 + (g - -2). Solve -u - 10 + 12 = r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204912 * 45\nAnswer: -9221040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39877903763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.5 - -27. Put f, -2\/5, 5\/4 in descending order.\nAnswer: 5\/4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121268 and 1596?\nAnswer: 6912276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23053097, -23053097, -23053095, -23053091, -23053085, -23053077, -23053067?\n\"Answer: m**2 - 3*m - 23053095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21921790 divided by -5.\nAnswer: -4384358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*d**2*o*t**2 - 6*d**2*o*t + 2*d**2 + 42*o*t**2 + 14*t + 4 wrt t.\nAnswer: 48*d**2*o + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 526, 1045, 1564, 2083, 2602?\n\"Answer: 519*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3357*x - 44. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w + 0*w)*(w**2 + 3*w**3 - w**2 + (0*w + w + w)*(-w**2 - w**2 + 4*w**2) + w**3 - 2*w**3 + 2*w**3 + 0*w**3 + 5*w**3 - 3*w**3)*(-3 + 8 + 2*w + 1).\nAnswer: 100*w**5 + 300*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 392908370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31116 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1682 and 14754.\nAnswer: 12408114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.72 - -2.7. Let w = 0.98 - t. Let j = -4457\/15 - -297. Which is the closest to 1\/3? (a) -13 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-3*(-6*(sqrt(153) - sqrt(17)) - sqrt(17))*-2 + -5)*5)**2.\nAnswer: -19500*sqrt(17) + 2586325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q**2 + 1. Let g be w(-1). Suppose 0 = -5*j + 2*h + 10, j + 6*h = 3*h + 2. Calculate the least common multiple of g\/(0 + 1\/6) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -60 + 76. What is the lowest common multiple of r and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**2 - 12*o - 10. Let u be t(8). Calculate the greatest common factor of u and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -5, 4, -158 in descending order.\nAnswer: 4, -5, -158, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 1.9. Let t = 20.718 - 13.718. Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 25*h**3 - 2*h**2 - h - 1. List the prime factors of k(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(56)*-2*5)\/(sqrt(12)\/(sqrt(24)\/sqrt(4)) - sqrt(2)*2*6) + 0).\nAnswer: 20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -589 - -286. Let s = -303.0062 - q. Round s to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 b when four letters picked without replacement from {b: 5, k: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88051, 88160, 88261, 88354, 88439?\n\"Answer: -4*p**2 + 121*p + 87934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -92, -107?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -11\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**(-9)\/p)\/p)*p*p\/(p*p**(-2\/7)))**(-4\/3)\/((p\/p**1)**44*p**6*p*p**(-2\/9)) assuming p is positive.\nAnswer: p**(-1627\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 989*k - 6722. What is the remainder when x(8) is divided by 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/8 - 7*f**3\/2 - 5*f**2. Let u be n(-15). Suppose 4*m - 2*o + 3 = 33, 3*m = o + u. Solve -m = l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-117)\/10)\/(30\/(-200))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -39 - -19 - (4 - 2 - -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*m = p - 46, p + 4*m = 22. Suppose 30 = -2*z - 6. Let u be (p\/z)\/(2\/(-6)). Which is smaller: 3\/8 or u?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*z + 2057, 2*k - z + 363 = -459. Let b = 417 + k. Solve -b*d - 50 = 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, 4, 3, -369, 0.\nAnswer: -369, 0, 1, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 125343181 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2. Let v(z) = -z + 11*z - 9*z - 2*z. Determine o(v(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 + -229.4. Let m = -28.137 + r. Let d = 0.073 - m. Round d to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -72, 8, 19, 1, -5 in descending order.\nAnswer: 19, 8, 1, -4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*1 + 8 + 0 + -1. Suppose 4*t = -3*n - 24 - 9, 3*t + 12 = q*n. Let y(m) = m**2 + 7*m + 18. What is y(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -7995251\nAnswer: -31\/7995251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/27 + 2)\/(6\/9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -1\/4, -3, -0.9, 3.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)*76\/304\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*t + 65 = 0, 2*u - 22 = -t + 30. Calculate the smallest common multiple of 40 and u.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 31. What is w(14)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from {x: 9, k: 5}?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62910605683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*l - 5*h, -h = 4*l - 2*h - 38. Let t be ((-6)\/4)\/(4\/(-400)*5). Calculate the highest common divisor of t and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7568908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6971*u + 39 = 6968*u - 5*r, 6*r + 18 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12042151 and 2255?\nAnswer: 60210755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2\/15 (c) 1 (d) -3 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 8. Let m(b) = -2*b + 6*b - 15 + 2*b + 6*b. Suppose 61 + 5 = -3*w - 8*w. Determine w*m(n) + 11*h(n).\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798220575.\nAnswer: 5, 19, 43, 347, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22144675 to the power of 1\/2, to the nearest integer?\nAnswer: 4706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154816 = 10*c + 5586. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -3\/5, -2, -0.23 in descending order.\nAnswer: 1, -0.23, -3\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 493?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-2)\/12)*(237 - 233)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46836 and 11227630.\nAnswer: 202097340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547570 is divided by 142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157508 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 33*a**2 - 18*a - 316. Calculate r(32).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47550, -47545, -47538, -47529?\n\"Answer: s**2 + 2*s - 47553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.2. Which is the third smallest value? (a) k (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*i = 27, -4*i - 19 = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrbbrbbrrbrbbrbrr. Give prob of sequence rrb.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -9*t**7\/2 - 91*t**4\/6 - 283*t + 276. Let w(o) be the first derivative of s(o). Find the third derivative of w(a) wrt a.\nAnswer: -11340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 487, 507, 525, 535, 531, 507?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1504, 3010, 4526, 6058, 7612, 9194, 10810?\n\"Answer: p**3 - p**2 + 1502*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)\/s*s)\/s)\/s*s**(2\/13))**(3\/7) assuming s is positive.\nAnswer: s**(-228\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1\/21482, 0.1.\nAnswer: -5, -0.2, 1\/21482, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c + 8*c - 15*c)*(4 + 2 - 4) + (0 - 1 - 1)*(3*c + 0*c + 0*c) + (0 + 0 - 3*c)*(3 - 4 + 0) to the form t + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 13*i**4\/8 + 5*i**3\/6 - 21*i**2\/2 + 6. Let o(d) be the second derivative of q(d). Is o(6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*p + 3123 + 2927 = 0 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0298805 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-131864)\/(-48) + (-37)\/6 + 6?\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311\/(-152) - 36\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*141*(-120)\/480\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 3, l: 3, r: 3, d: 2}. Give prob of sequence llu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 2. Suppose 0 = -3*h - h, -2*h - 2 = -2*l. Let y be -1*1\/1*l. Let k(w) = w - 1. Let d(q) = y*m(q) - 2*k(q). Let i(v) = v. Calculate i(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:28 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 136 - 136.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/628 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 182, 180, 178, 176, 174?\n\"Answer: -2*p + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2)*(1 + 0). Let l be j + 5 + 0 + -1. Suppose 0 = -5*c + 2*x + l + 111, -c + 40 = 3*x. Solve -4*o - 6 = -3*n - 24, -5*n + 5*o - c = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12004 = 4*m, -m + 9*v = 14*v - 3013. Let o = 1219 + m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - o + 50, -4*b + 5*o = 4*o - 49. Calculate the remainder when 50 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7496*v**2 - 7537*v**2 - 7528*v**2 + 22573*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2186481, -4372958, -6559435, -8745912?\n\"Answer: -2186477*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -4, -221, 0, 8 in ascending order.\nAnswer: -221, -4, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s + 16. List the prime factors of 0\/s + 162 - 1*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8851835 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 29*g = 33*g - 41, q + 5 - 40 = -4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24421, -48877, -73333?\n\"Answer: -24456*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112583723 rounded to five dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 726 - 4*n**2 + 709 - 16*n**4 + 4*n**2 in the form t + h*n + d*n**3 + m*n**4 + f*n**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3989 - -3995. Let c(a) = 15*a**3 + 4*a**2 + 6*a + 6. Let d(l) = l**3 - l**2 - l - 1. What is n*d(w) + c(w)?\nAnswer: 21*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.4 and -871 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136145 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-75)*42\/(-4). Which is bigger: d or 0.11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 99*x - 969. What is r(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 + 202. Let d be (-5)\/w - 5 - -5*1. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -60, -110, -192, -318?\n\"Answer: -2*y**3 + 2*y**2 - 22*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 16 + 7)*(2*g**2 - 5*g**2 + 2*g**2) in the form u*g**2 + h*g + d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2870 + 2886. Sort q, 3, 4, -5 in decreasing order.\nAnswer: q, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1120 - -1870. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = -2*q, 0 = -0*w + 3*w - 2*q - 26. Let k(j) = j**3 - 8*j**2 + 10*j - 8. Let r be k(w). Let a = 28 + r. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172699435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6744812?\nAnswer: 2, 1686203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 - 10 = 0. Let k(l) = 5 + 8 - 6 + 7*l - 10*l**g. Let m(p) = -3*p**2 + 2*p + 2. What is -4*k(b) + 14*m(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 7*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50823057 rounded to three dps?\nAnswer: -0.508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:15 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80a8374 - 0?\nAnswer: -80a8374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2617 + 4176. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973121?\nAnswer: 31, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*a = 6*a + 234 - 43 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 632266?\nAnswer: -632261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:15 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:20 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1620261 and 199593.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - 100000010100?\nAnswer: -100000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/300 and -95\/6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*z - 4)*(10 + 12 + 9)*(-10 + 11 + 4)*(3 + 3 - 5).\nAnswer: -465*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -99 - 93. Suppose -w*b + 40 = -19*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5601871 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - g - 4. Suppose -2*n + 9 = q + n, -19 = -3*q - 5*n. Calculate the remainder when z(q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5742, 5741, 5740?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -34)*(0 + 2). Suppose 5*h = 5*n + 30, 5*n + h + 2*h = -v. Let t(g) = g**3 + 11*g**2 + 8*g - 6. Is t(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 3*w - 530. Let l be n(17). Put -117, l, -1 in decreasing order.\nAnswer: -1, l, -117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997951 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 - -5 - 2 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 431 (base 13) to base 15\nAnswer: 32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12758*z**2 + 34*z - 6357*z**2 - 3469 - 6377*z**2 wrt z?\nAnswer: 48*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t + 0*t**4 - 28 + 49\/3*t**3 + 0*t**6 - 9\/7*t**7 + 0*t**2 + 0*t**5. Find the third derivative of r(n) wrt n.\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 380\/547? (a) -0.1 (b) 2\/5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from yppkyw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 64*g - 65. Calculate the remainder when p(5) is divided by 68.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 + 5 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 16*s**2 + 1. Let d be g(-1). Suppose 19*t + 26 = d*t. Let q = 16 + t. Sort 8, -2, q in decreasing order.\nAnswer: 8, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 165*k - 2517. Calculate f(34).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.5 times -5?\nAnswer: -2157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r**3 + 8*r**2 - 8*r - 14. Let s(m) = 5*m**3 + 9*m**2 - m - 9. Let j(t) = -t**3 + t**2 + t. Let f(h) = 4*j(h) - s(h). Give -8*f(v) - 5*i(v).\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/56)\/((-2)\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) - (-4)\/(-12). Suppose 10 = -y*q + 2*q. Find the first derivative of -3*i**3 + 2 + q - 3*i**3 wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/308*(-1)\/2*-75. Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 28 + 23 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 + 3)*(0*d**2 - 2*d**2 + d**2) + (0*d + 2*d - 5*d)*(-d + 1 - 1) to n*d**2 + s*d + g and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.075 + -66.3. Let o = p - -0.125. What is o rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.1, 5\/2, 149\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/4? (a) 36 (b) -11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 56922798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, 73, 147, 217, 283?\n\"Answer: -2*k**2 + 84*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -30*b**3 + 361*b**2 - 536*b + 6282. Determine x(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18247, 36480, 54689, 72862, 90987?\nAnswer: 109052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165256700647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 49055600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -2)*(-57)\/(-266)*1. What is the closest to 9 in -2\/3, p, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s + 3. Let r be d(0). Which is smaller: r or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715053 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:19 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -170, -0.2, -1.7?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-15) + 27873\/2565. Solve 6*y - 13*y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*q - 26, 5*n - 3 = -q + 20. Suppose 0 = n*w - 9 - 1. Find the second derivative of -4*d**2 + 0*d + 0*d**w - 9*d + 7*d wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101011111110 (base 2) to base 16\nAnswer: afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916*z + 1 - 1.\nAnswer: 916*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o - 4. Let d be v(6). Let l be 4\/5*3\/d. What is the smallest value in 2\/17, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -300523\/64620 - -2\/3231. Calculate the common denominator of 27\/4640 and b.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*t - 45 = 0, 0 = -5*a - 0*a - 2*t - 59. Let r = 16 + a. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -3076888?\nAnswer: -9230664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -21 + 101 - 24\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 times -0.047\nAnswer: -0.6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1044, 1030, 1016?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-145)\/(-174) - (-32)\/(-6)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 267*r + 278. Let f be w(-1). Solve -36 = f*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31\/((-2345)\/(-293) + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 0, 5*k + 2*l - 3*l - 256 = 0. Suppose -2*j - 4 + k = 0. What is the greatest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 14*f**2 + f + 23. Let y be p(-14). Let q(a) = -a + 22. Let z be q(y). Differentiate 3 - 6*s**4 + z*s**4 - 6 - 3 with respect to s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**3 + p**3 + 2*p**3)*(-p + 0*p + 2*p + 0*p + p + 0*p + (-1 + 1 - 2*p)*(-1 + 4 - 2) - 80 + 20*p + 80).\nAnswer: -60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1249389 millennia to months.\nAnswer: 1499.2668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3577 divided by -19\nAnswer: 3577\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.8 - 27. Let k = 35\/3 - 137\/12. Which is the closest to j? (a) k (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 131c + -1?\nAnswer: 131b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721400 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Let i(u) = u**3 - 6*u**2 + 7*u. What is i(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/(-1 - -4). Let d = -1.05 - -0.05. Sort w, 4, d in decreasing order.\nAnswer: 4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (188\/6)\/((-7364)\/(-525) + -14)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + j = d + 2, -j = d - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnoftf. What is prob of picking 1 n, 1 t, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 3. Let p be c(6). Let g = 27 + p. Solve w + j = 10, 5*w - g - 22 = -3*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401689 + 563502. Let p = j - 103813. Round p to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 + 10*w**2 - 696 - 6*w**2 + 2*w**3 - 3*w**3 + 715 to n + c*w**2 + j*w**3 + d*w and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 433*j**2 + 14*j + 39. Is w(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:17 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ed0e (base 15) in base 12?\nAnswer: -98b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 121*u**3\/4 + 4948229*u**2\/4 + 50586307275*u\/4 - 50591255625\/4 = 0.\nAnswer: -224925\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52366 < 53134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -28*x - 1764. Let c be v(-63). Factor 0*n + c*n**2 - 2\/11*n**4 + 0*n**3 + 0.\nAnswer: -2*n**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 31*k**2 - 67*k - 265. Let z be b(33). Which is bigger: -297 or z?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 86*h + 26*h - 40*h + 17*h.\nAnswer: 82*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c + 47*c - 29*c - 1)*(c - 2*c + 4*c + (0 + 3 - 4)*(2*c - 5*c + c) - 2*c - c + 0*c).\nAnswer: -4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631504027 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24818354 is divided by 254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 - 7*l**4\/12 + 5*l**3\/3 + 33*l**2\/2 + 202*l + 1. What is j(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 27\/7*n + 0 - 180\/7*n**2 + 354\/7*n**3 + 27\/7*n**5 - 180\/7*n**4 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5160195 divided by 5?\nAnswer: 1032039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 5\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080*i = 9*s + 2079*i - 45, 0 = -2*i - 0*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1173.6 * 6\nAnswer: -7041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let u(f) be the third derivative of -f**5\/60 + 5*f**4\/24 + f**3\/3 + f**2. Suppose -4*r + 3*d + 5 = -0*r, 5*r + 8 = -d. Give r*u(q) + 2*i(q).\nAnswer: q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -e36c7 (base 16) to base 5\nAnswer: -214302102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2199, 2214, 2229, 2244, 2259?\n\"Answer: 15*a + 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15577 - -15580. Suppose -2*x - 3*x = 0. Solve x = o - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28807, -28805, -28803, -28801, -28799?\nAnswer: -28797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 7. Let a be 3 - 20\/8 - i\/8. Suppose a = -4*m - 0*m - 24. Let f(p) = p**3 + 6*p**2 - 7. What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 4*h - 75*h**2 - 75*h**2 - 82*h**2 + 7*h**3 - 19 + 231*h**2 as m*h + c*h**3 + w + t*h**4 + b*h**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*a - 26. Let o(y) = y**3 - 12*y**2 + 9*y - 8. Let p be o(11). Let t = p + 24. Put t, a, -1 in increasing order.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = -2*x, 0 = -k - 5*x - 36 + 10. Let y be (-3916)\/27313 - 6\/(-39). Is k at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -1 in decreasing order.\nAnswer: 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2. Let r(o) = 1303*o**2 + 6*o + 36. Let f(b) = -3112867*b**2 - 14333*b - 85998. Let p(h) = -6*f(h) - 14333*r(h). What is y(p(m))?\nAnswer: 8489045*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*h - 223. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1860 + 217 + 99 = 5*p + 131*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/18)\/((-4824)\/(-21708)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*u - 5*u. Factor 3*t**5 - 3*t**u - 5*t**5 - 4*t**3 - 3*t**4.\nAnswer: -2*t**3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149641 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 154 in -7\/5, 5\/17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-14 - -8) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 2*r + t, -4*r = -2*t - 384 - 144. Let o = r + -561. Let k = o + -420. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -32*n**2 - 1. Let z(y) = -37*y - 295. Suppose m = -4*b - 28, -9*b + 14*b = 2*m - 48. Let r be z(b). Determine d(r).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-42)*(-8)\/12*6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265 + 18*y + 265 - y**2 + (-y + 0*y + 3*y)*(-y + 3*y - 4*y) + 2*y**2 - 1 + 1 to w + r*y**2 + g*y and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 33. Suppose 1484 = 2*n + a*n. Does 43 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*j**2 + 0*j + 6*j - 6*j)*(2 - 61*j + 61*j + 83*j**2) to b*j**4 + g*j**3 + d*j + x + z*j**2 and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537447859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -0*m. Let b be (-132)\/21 + 6 + (-12)\/105. What is the nearest to m in b, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*r + 7. Let i(m) = -m**2 - 5*m + 3. Let v be i(r). Suppose v*u = c - 17, -u - 3*u - 20 = 0. Which is smaller: 1\/4 or c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:49 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2698084954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 10*s**2 + 4*s + 126. Let q(y) = -30*y - 6. What is 8*c(v) + 5*q(v)?\nAnswer: 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Sort -5, 0, y in increasing order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(8\/(-912)). Let m be 3\/4*152\/c. Let 2\/7*o**3 - 6\/7*o**m + 4\/7*o + 0 = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 6. Suppose -10 = -j - 4. Calculate the least common multiple of (-4)\/(-3) - 2\/j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pllg when four letters picked without replacement from ccppltlpccpglg.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 31324.\nAnswer: 7\/31324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 11008274?\nAnswer: 121091014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20084030?\nAnswer: 2, 5, 2008403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 29*a - 36. Let j be z(13). Suppose r - 4 = m - 3*r, -5*m - 4*r + 28 = 0. Solve 8 + m = -j*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + (7 + -1 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 3) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {z: 1, o: 2, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 25790*n - 905100.\nAnswer: 2*(n - 12930)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 240*f**3 + 3*f**2 - 14*f - 15. Let d be k(5). Let q = 1499401\/50 - d. Calculate the common denominator of 99\/70 and q.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -0.2 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152276, 152271, 152266?\nAnswer: 152261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10222 + -230004?\nAnswer: -214232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*d**2 - 1619*d**3 - 125*d**2 - 1531 - 2278*d**3 wrt d.\nAnswer: -11691*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f - 8. Let x be v(7). Let d(r) = -r**2 + 6*r - 6. Let y be d(x). What is the common denominator of -25\/3 and ((-2)\/y)\/((-3)\/(-71))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 5, 23, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-136)\/(-51))\/(1\/39). Let t = 62 + -29. Let w = t + -20. What is the greatest common factor of m and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*s + 0.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j. Let b(h) be the first derivative of -h**5\/40 - 11*h**3\/3 - h**2 - 46. Let o(n) be the third derivative of b(n). Determine o(t(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 65*z**2 + 179*z + 393. What is w(62)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3925, 3919, 3909, 3895?\n\"Answer: -2*j**2 + 3927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i. Let u(m) be the first derivative of -3 - 173*m + m**2 + 173*m. Give w(u(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 0.21 (c) -0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + q + 0*q + q**4 + q**4 - 1 + 0*q in the form w + k*q**4 + d*q + u*q**3 + m*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:25 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 36)*2\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 2. Solve 5 = 5*c + h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 99.087631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**3\/6 + 3*p**2 + p. Let s(a) = 6*a + 8*a - 12 - 29*a + 12*a. Let y(r) = 5*c(r) + 2*s(r). What is y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(10*k**4 - 35*k**4 + 155*k**2 + 27*k**4).\nAnswer: -4*k**4 - 310*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-75)\/(-225))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 11 - t + 6.\nAnswer: -t + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152776719 to the power of 1\/3, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g + 2*g + (-2 + 9*g + 2)*(-4 - 2 + 2))*(30*g - 11*g + 60*g) to the form u + x*g + o*g**2 and give o.\nAnswer: -2686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/sqrt(4) - (sqrt(1452) - 2*sqrt(1452) - sqrt(1452)))\/(sqrt(4356)*-2)*-6.\nAnswer: 20*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 36*z - 372. What is o(12)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-52)\/(-16))\/(-13))\/((-4)\/96). Solve w*o + 2*f = 3*o - 6, -5*f - 15 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 7*p - 36. Suppose -5*f + 13*f = p. Find the second derivative of -12*q**2 + q + 6*q + f*q - 2*q wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -11*s + 203 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60522517 to the nearest integer?\nAnswer: 7780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**3 - 3*n**2 + 7*n - 2. Let d(o) = 3*o**3 - 2*o**2 + 4*o - 1. Let s(a) = -7*d(a) + 4*u(a). What is the units digit of s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 12\/48. Solve y = -4*x - 11 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.8? (a) 2\/131 (b) 1\/3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*a**2*q - 115*a**2*s**2 - 2*a**2 + 4*a*q*s**4 + q*s wrt s.\nAnswer: -230*a**2*s + 16*a*q*s**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 3*c - 3. Let k(n) = 3*n**2 - 4*n - 4. Let x(o) = 3*k(o) - 4*q(o). Let r(l) = 599*l**2 + 3*l + 3*l - 595*l**2 - 6*l. Determine r(x(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -2*h**6\/15 + 7*h**5\/20 - h**4\/6 - h**3\/6 + 3*h. Factor y(v).\nAnswer: -v*(v - 1)**2*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.37 + -22.82. Let h = n - -18. Let i = -0.05 + h. Which is the second biggest value? (a) i (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 10*p**2 + 3. Let r be n(10). Suppose -k + 3*c - c = -64, r*c + 195 = 3*k. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.64343861 + 0.6434. What is j rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98262?\nAnswer: 2, 3, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6568, 6563, 6562, 6571, 6596, 6643, 6718, 6827?\nAnswer: 6976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b. Let u(v) = 2*v + 6*v - 7*v. Give u(x(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(88)\/sqrt(2))*-3*-6.\nAnswer: 54 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 9*h - h - h - 9*h**3 to g*h**3 + a + k*h**2 + u*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 4*x = 6*x - 29 + 5, 0 = -3*x - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 341828064 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 15585*b**3 - 14409495*b**2 + 5338346715*b - 699347575080.\nAnswer: -5*(b - 1848)*(b - 423)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 4050.\nAnswer: -68850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061380329 rounded to 4 decimal places?\nAnswer: 0.0614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2637 - -0.7637. Let h = -1 + 1. Let j be 1*5 + (-3)\/3. What is the third biggest value in x, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1613*p - 3295*p + 1679*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1172, -1127, -1068, -989, -884?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*v - 6 = -22, 0 = 5*i + 5*v - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6006 + -323304?\nAnswer: -315276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 199 (b) -2 (c) -21 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:19 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2 + (3 - 4 + 4)*(3 - 7 - 4) + 0 - 2 + 1)*(-111*u + 111*u - 25*u**3)*(3*u**2 + 2*u**2 - u**2).\nAnswer: 2800*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.03.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o + 1095 = -59*o. What are the prime factors of o?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (30 - (-19 - -3 - -10 - 0))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/45)\/t*t**(17\/5))**17)**(1\/52) assuming t is positive.\nAnswer: t**(901\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 - 9*a - 7. Let p be m(9). Let s = -3 - p. Solve 0 = -q - l - s, 0*q = q + 5*l + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333788773 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkllsslklikslho. What is prob of picking 1 o and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**7\/630 - m**6\/45 - m**5\/10 + m**4\/2 + 14*m. Let v(a) be the third derivative of p(a). What is o in v(o) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-356))\/(2\/8). Let f = i - -81\/356. Let q = 21\/115 - -5\/23. Which is the nearest to f? (a) q (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527*m - 56 = 519*m. Suppose 57 = 12*k + m*k. What is i in 3\/5*i**5 + 0 + 12\/5*i**4 + 6\/5*i**2 + 0*i + 3*i**k = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaqaaaaaaaaaaa. What is prob of sequence qaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c + 5*s - 13, 5*c + 5*s - 25 = 0. Let m(p) = -p**2 + 8*p - 1. Calculate the remainder when m(6) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9204659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -25*i - 38. What is the least common multiple of v(-4) and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**4 - 12*j**3 + 10*j**2 + 12*j - 11. Let y(v) = 5*v**4 + 25*v**3 - 21*v**2 - 25*v + 23. Let i(o) = 7*c(o) + 4*y(o). Determine a so that i(a) = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -49?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2 - t - 1)*(-2*t**2 + 0*t**2 + 3*t**2) + 4 - 106*t**3 - 6 + 107*t**3.\nAnswer: -t**3 - 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37853363329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 - 219*g**3\/5 + 248*g**2\/5 - 48*g\/5 = 0.\nAnswer: -12, 0, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76223*r = -76194*r - 1131 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from wouuh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1536192 by -2.\nAnswer: -768096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 959\/42 + 2\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**6\/24 + 5*w**4\/24 - w**2\/2 + 6. Let b(q) be the second derivative of c(q). Find the second derivative of b(i) wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197244 is divided by 19721.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 22*t + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24835773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:00 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1303069\/335 or 3891?\nAnswer: 1303069\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908066219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342.1 - 342. Put -2\/5, l, -1\/33 in decreasing order.\nAnswer: l, -1\/33, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Suppose -a + i = -2. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05405 + 2.94595. Let l = 2.6 - 2.2. Which is the closest to 8? (a) l (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 39 + 0*x**3 + 7*x - 1\/2*x**4 + 27\/5*x**5 - 2*x**2. Find the second derivative of h(b) wrt b.\nAnswer: 324*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221500 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 481320 and 252.\nAnswer: 481320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -903 - -3987. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -1. Let u = t + -44. Find the first derivative of 3*a - 21 - 3*a - 16*a**2 - 3*a**u wrt a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 2*h - 1 + 1 - 2*h + (2 + 1 - 2)*(3*h - 6*h + h))*(-7*h**2 + 7*h**2 - h + 7*h**3)*(0*h + 0*h + 3*h).\nAnswer: -63*h**5 + 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2113 and 4?\nAnswer: -8452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 3*m + 5*s + 17, 4*m - 21 = s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7182283.5 minutes?\nAnswer: 712.528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15.31, 117, 2, -2 in decreasing order.\nAnswer: 117, 2, -2, -15.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72247762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 7. Let b be j(-5). Let w = b + -8. Let y = 4 - 1. What is the greatest common divisor of y and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 35223.\nAnswer: 2\/35223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2185*j**4 + 3998*j**4 - 1178*j**4 + 1562*j**4 + (-4 - 2*j**3 + 4)*(-2*j + 0*j + 0*j) to t*j**2 + u*j**3 + g + c*j**4 + r*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126182 and 549793?\nAnswer: 9013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 7*u**2 - 4*u - 7. Suppose 2*o = 1 + 3. Suppose 5 = -o*t + 17. Let j be a(t). Solve -3*s - 3*f = 3, -j*s + s = -3*f - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**2 + d**2)*(2 - 1 + 0) - 2*d**3 + 2*d**3 + 2*d**3 - 5*d**3 + 10*d**3 - 8*d**3 + (1 - 3 + 0)*(-3*d + d**3 + 3*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 3*m - 2. Let z be g(5). Let r(u) = z - 8 - 2*u**2. Let c(h) = -2*h. Calculate r(c(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -867, -2098, -3859, -6150, -8971, -12322?\nAnswer: -16203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 16*y**2 + y + 11. Let n be x(-8). Solve -u + 0 = -2*s - 14, n*s + 31 = 4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p - 2. Let q be u(-1). Let a = -1494 - -1511. Solve -a*t + q = -21*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 689037480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -109. Solve -f*o = -o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47557.9 decades to millennia.\nAnswer: 475.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvsivzzsvsrv. Give prob of picking 1 r, 2 z, and 1 i.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 491840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/2))**(-2\/33)\/(s**(-1\/10)\/s*s*s*s\/s**(-3)*s))**38 assuming s is positive.\nAnswer: s**(-37943\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*h*r - 17*d**4*h + 141*d**3*h**3 - 4*d**2*h**3*r + 6*d**2*h*r + 27*d*h**2*r wrt d.\nAnswer: -48*d*h*r - 408*d*h + 846*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 28*f**3 - 1430*f**2 + 25*f - 181. Determine w(51).\nAnswer: -4108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -19. Let c = 22 + p. Calculate the remainder when 39 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 - -176. Which is the fourth biggest value? (a) z (b) 16 (c) -3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 - 9*r - 2. Let j be u(6). Sort -5, j, 5 in ascending order.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153)*1 - (-1*sqrt(153) - sqrt(153))*2)\/(sqrt(729) + 5*sqrt(729)*-5).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5 - 3036*m**4 - 45033*m**3 - 167496*m**2 = 0.\nAnswer: -997, -8, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*210\/(-56)*(-12)\/(-18)*-3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from vvhhvxhhhvvvhh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/9 - 774*x**2 + 2708924*x\/9 + 905296\/3 = 0.\nAnswer: -3836, -1, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*m - 14, 4*q = m - 15 - 2. Suppose 2*d = l + 12, -5*d + 11 = 2*l - m. Let b(x) = -x**2 - 9*x - 6. Determine b(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 372815 - 745630 + 372815.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1318438, -2636876, -3955312, -5273746?\n\"Answer: o**2 - 1318441*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 at least as big as 1108146\/1177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 5, r: 1, g: 1, l: 6, k: 1}. What is prob of sequence rk?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 208\/20 - 6\/15. What are the prime factors of ((-654)\/(-15))\/(4\/x)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, 429, -3, 0.2 in decreasing order.\nAnswer: 429, 5, 1\/2, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61276?\nAnswer: 2, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 24. Let m = 8588 + -8593. Let w(s) = -7*s - 16. Give m*q(c) - 7*w(c).\nAnswer: -c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m - y, -17*y = -3*m - 2*m - 78. Let r = 0.047 - 0.06. Put -4, r, m in decreasing order.\nAnswer: r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**4\/3 - 13*n**3 + 14*n**2\/3 + 13*n - 10\/3 = 0.\nAnswer: -10, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*z + 23, -t - 2*z - 56 = -5*t. Solve 0 = 5*p - 2*p - t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147120918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 90151*q - 6851468. Determine a(76).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63476 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(5)*-1)\/(sqrt(60)\/sqrt(5)*6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*t - 175*t + 67*t + 3*t - t + 0*t + (0 - 4 + 2)*(4*t + t - 6*t) + 2*t - 3*t + 2*t + 5*t + 3*t - 6*t to o*t + b and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 0. Let o be -2*((-4)\/(-210) + q). Let c = -26\/105 + o. Which is bigger: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r - 81531, 4*r = 4*l - 43045 + 151849. What are the prime factors of r?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(1 + (-3)\/2). Is (-10 + 8)\/(q\/9941) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205*i**6 + 5052*i**4 - 7436276*i**2?\nAnswer: -24600*i**3 + 121248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -33. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1515.9 and -4.\nAnswer: -1519.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -3 - (28 - 28). Let s(n) = -7*n - 8. What is the least common multiple of 22 and s(m)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 32*y**2 - 8*y - 40. Let p(j) = -j**3 - 33*j**2 + 7*j + 39. Let l(g) = 4*p(g) + 3*r(g). Suppose l(k) = 0. Calculate k.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-657)\/(-511) - 96\/(-7)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 - 59. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Suppose -w = -2*k - 252, -3*w + z*k + 718 = -46. Suppose r - 10 = s - 83, 5*r - w = -4*s. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1900) + (sqrt(1900) + 0 + 5 - sqrt(1900)))*4 + -1 + sqrt(1900) + sqrt(1900) + -2*(sqrt(1900)*-2 - sqrt(1900)) + -5)**2.\nAnswer: 3360*sqrt(19) + 273796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 11. Let h be d(8). Solve -h*a - y - 2 = y, a = -5*y - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22 - 20) + (-2 - -5). What are the prime factors of 119\/((y + -7)\/(-6))?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -81*k**2 + 339*k + 818. What is c(-2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 t, and 1 s when four letters picked without replacement from sntnnnsnt?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 37*o**2 + o. Let y be l(-4). Suppose 186 = 6*p - y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -5, 12, 37?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 7113?\nAnswer: -7121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 2. Let x(v) = -79 - 72 - 2*v + 156. What is 15*k(g) + 6*x(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17554dd + -4?\nAnswer: 17554d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 139. Let f = 22 + o. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-378)\/(-78) + -5 - 28\/(-13). Suppose o - 150 = -v*u, -o = -u - 38 + 116. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -18. Suppose 4*h = 2*z - h - 361, z - 213 = -t*h. Find the common denominator of z\/(-66) - (-2)\/(-12) and -61\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 4 (b) -2 (c) 0.5 (d) -4 (e) 53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 17. Calculate v(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 2*c - 3*c)*((5 + 3 - 6)*(-c - c + 0*c) - c - c + 0*c + 0 + c + 0 + (3 - c - 3)*(-2 + 3 - 2) + 1 + 2*c - 1 + 13*c - 2*c - c + 1 + 19 + 73*c - 17).\nAnswer: 81*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1)\/(-1 + -1). List the prime factors of (12 + (a - -2))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*t + 112*t - 56 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 661440570.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0493 + -22.\nAnswer: -22.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 11*y**2 - 5*y - 10. Let x be u(6). Sort -1, x, 1, 13 in descending order.\nAnswer: 13, 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1273*b + 1822 - 1822 in the form z + g*b and give g.\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298953 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/6 + 2*u**2 - 3*u + 2. Let a(g) be the first derivative of n(g). Calculate a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022983777 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -504473.27 rounded to the nearest one hundred?\nAnswer: -504500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 149587.\nAnswer: 448761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wptbh. Give prob of sequence htw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 135 = 0. Let i be (-6)\/p + 38\/(-9). Is i less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891304.\nAnswer: 2, 43, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3)*c*((c\/(c*c**(-1\/7)*c))\/c)\/c)\/(((c**4*c)\/c)\/c*c)**1 assuming c is positive.\nAnswer: c**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 66*k**4 - 430*k**3 - 742*k**2 + 240*k + 1000 = 0 for k.\nAnswer: -25, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35337*o = 35339*o + 74 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60330 divided by -4022\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0.5, 2 in decreasing order.\nAnswer: 2, 0.8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/22)\/(43\/((-4257)\/(-18)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)*-2*-4*4)\/(5*(sqrt(810) - (sqrt(810)*2 + sqrt(810))*6)).\nAnswer: 32*sqrt(7)\/255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3036250 + 1532?\nAnswer: -3034415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 - 3*k + 4. Let r be d(4). Let v(g) = -2*g - 319. Let p(n) = -n - 214. Let l(i) = 3*p(i) - 2*v(i). Determine l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 86*j - 170. What is h(88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 4 + 4 + (2 - 5 + 4)*(-3 - 2*x + 3) - x + 0*x + 0*x + 2*x - 3*x + 2*x)*(-4 - 3*x + 4) in the form l*x**2 + p*x + w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17036 is divided by 428.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Suppose 0*b - 102 = -3*b. Suppose 0 = 5*l - 4*f - 35, -4*l + 15 + b = f. What is the lowest common multiple of k and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -16. What is the smallest common multiple of 5\/1 - (-12 + n) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1332603081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -16. Let l be 0 + 0\/w + 0. Solve l = 2*z + 3*b - 8, -5*b = 4*z - 0*b - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.661592 decades in years?\nAnswer: 6.61592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11498 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 - -50616.9468?\nAnswer: 51753.9468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.31 rounded to the nearest integer?\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = 157*c - 51546. What is the highest common divisor of c and 13703?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 12 + 4. What is the tens digit of h\/(-2)*19\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 198 = -20*q. Let w be (q\/(-9))\/(1\/1) + 2. Solve -5*s + 13 + 12 = -5*y, 4*s - 13 = -w*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-6 + 14)\/32). Let z(n) be the first derivative of -1\/4*n**4 + 0*n**m + 2 + 0*n - 4\/3*n**3. Find the third derivative of z(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.273, -56, 4, -4, 1\/2, -23 in descending order.\nAnswer: 4, 1\/2, 0.273, -4, -23, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 3:17 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754171854 to the power of 1\/2, to the nearest integer?\nAnswer: 52480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 8 - 10 + 20 - 2*z**2. Let c(j) = -j**2 - j + 9. Let i(f) = -4*a(f) + 7*c(f). Let w be i(-6). What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 114, 4, -24, -5, 98 in decreasing order.\nAnswer: 114, 98, 4, 1, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) + 2)*3)**2*-3 - ((-1*sqrt(128) + -3 - sqrt(128)) + sqrt(128) + 1*sqrt(128) + 1)**2) + 2.\nAnswer: -9710 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9572 divided by -126\nAnswer: -4786\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21337, -85368, -192089, -341506, -533625?\n\"Answer: -k**3 - 21339*k**2 - 7*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1139714 - 291?\nAnswer: 1139433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -202, -244, -358, -580, -946, -1492, -2254, -3268?\n\"Answer: -6*x**3 - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192028 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v - 11*v + 232344. Suppose 2*p + v - 1418 = 0. What is p rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*j + 5050 = 0, 4*t - 75*j - 10118 = -77*j. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67421 + -41276. Suppose 42*v - 75285 = -d. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - g = -18, 72*k - 68*k = -3*g + 29. Let p(i) = -i**3 + 4*i**2 + 3*i + 10. Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 2*t - 40, -3*y - 2*t - 24 = 0. Let p be 2\/y - 65\/(-20). Solve 7*u - 2*j + 8 = 3*u, p*u = j - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 192 = -2*x. Suppose 4*b - x - 64 = 0. Let f(m) = -m**2 - 5*m + 10. What is the remainder when b is divided by f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -438 + 2207. What are the prime factors of c?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*y**3 - 13*o**3*y**2 + o**3 - o*y**3 + 53*y**4 - 8 wrt y?\nAnswer: 6*o**3 - 6*o + 1272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {k: 1, s: 17, g: 1}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 231*t. Let h(g) = 51*g - 60. Let i(z) = 7*z - 8. Let f(d) = 2*h(d) - 15*i(d). Determine q(f(w)).\nAnswer: -693*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2273, 2118, 1859, 1496, 1029, 458, -217?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28178*0.206\nAnswer: -5804.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 215*t + 86. Determine m(-43).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = -18. Let n = 32 - z. Solve n = -4*d - 3*m, 8 = -4*d + 2*m - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10195 = -86*o - 7701 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -633*s**2. Let i(n) = 263*n + 698. Give i(p(j)).\nAnswer: -166479*j**2 + 698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43, 144, 311, 550, 867, 1268?\n\"Answer: f**3 + 27*f**2 + 13*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 7, 4.7?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + o**3 - 3)*(-4*o - 3*o - 1 + 6*o) to the form s*o + i*o**2 + j*o**4 + r + k*o**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h**2 - 11*h. Let j(a) = 29*a**2 + 2*a + 9. Let w(g) = 7*g**2 + 2. Let f(t) = -2*j(t) + 9*w(t). Calculate 11*f(k) - 4*v(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5157 divided by 1719?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(707\/(-3535)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.3 + -31.34. Let b = -5.1 - y. Which is bigger: b or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570217263.\nAnswer: 1289, 1218167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -411 + 413. Solve 0 = a*k - 9*k + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/7 - 22*f\/7 - 121\/7 = 0. Calculate f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, -3\/2, -2\/21, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125348 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 greatest common divisor of 3150 and 7542.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -12210.7857188.\nAnswer: -12211.0857188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 + 4*s. Let l be t(-7). Let g = l + -13. What is the remainder when g is divided by (6\/(-4))\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2265 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 13147299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, n: 4}. Give prob of sequence ynny.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -574626, -574628, -574630, -574632, -574634, -574636?\n\"Answer: -2*n - 574624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 2. Let t be (-87)\/232 - 26\/16. What is r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848997080 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose x + 3*h = -405, -19*x = -16*x - 5*h + 1271. Let w = x + 414. Which is the fourth biggest value? (a) w (b) -2 (c) -11 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 10, k: 3, h: 2, t: 2}. What is prob of picking 2 h and 1 t?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-48) + 343\/(-3). Let a = -30 - j. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 8*t**2 + 8*t - 10. Let b be j(7). Let m = b + 3. Suppose m = h + 2*h. Let c(s) = s**3 - s**2 + 2. Calculate c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9387 + 2949 = -448*n - 22837 - 3803 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) -4\/3 (c) 0.3 (d) -1\/6 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*x**3 + 4 + 967461*x**2 - 967461*x**2 + 4*x to the form b*x**3 + j + l*x + w*x**2 and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.01 - -0.68. Let v = d + 24.33. Which is the smallest value? (a) 1\/4 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 650\/65 + (-59)\/6. Let g(l) be the second derivative of 1\/12*l**6 - 9*l + 7\/24*l**4 + 0*l**2 - 1\/84*l**7 + 0 - 9\/40*l**5 - n*l**3. Factor g(d).\nAnswer: -d*(d - 2)*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/4)\/(z\/(z*z**28)*z)*z**(3\/8)*(z*(((z*(z*z**(-1\/35))\/z*z)\/z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(7027\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-90)\/(6 + 276\/(-45)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*g**2*u - d**3*g*i*u**3 + d**2*g*i*u**2 + 2*d*g**2*i*u**3 + d*g*i*u**3 - 19*g**2*i - 2*g*u**3 + 3*u**3 wrt g?\nAnswer: 2*d**3*u + 4*d*i*u**3 - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.6 + -1111417.23.\nAnswer: -1111393.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 123880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-91) - 28\/98. Let r = -157 + 156. Let y be (-605)\/660 + r*(-1)\/4. What is the nearest to -1\/2 in i, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 + 30*r**4 + 162*r**3 - 1112*r**2 - 2595*r - 1350 = 0. What is r?\nAnswer: -18, -15, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119071 + -67425. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 2*x**2 - 3*x + 3. Let f be q(2). Let r be -3*34\/(-396) + (21 - 4)\/(-102). What is the closest to 0.1 in 0.2, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*c**3 + 1640398*c**2 + 2*c + 19278917.\nAnswer: -174*c + 3280796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13780)\/(-35) - (-20)\/70.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 233 = -5*p, 0*h - 2*h + 4 = 0. Suppose -5*q - 17 = -p. Calculate the highest common divisor of q and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Let d = -46 + 47. Put o, d, 3 in increasing order.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-209)\/(-77) + -3 + 98395\/(-1925) + (-3)\/5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 24*r = -50*r + 10266. Solve 1704*v = r*v - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(-8 + (-90)\/(-27)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3110\/247599 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -12, 24, 74, 138, 216?\n\"Answer: 7*c**2 + c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132412494 to the nearest integer?\nAnswer: 11507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4323.021 to the nearest integer.\nAnswer: -4323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16400)\/(-984))\/(10\/(-15))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-759)\/(-138)*15\/((-255)\/68)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/27 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -11. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -114958 (b) 2.6 (c) 0.002\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0\/h**(-10\/13) assuming h is positive.\nAnswer: h**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*r - 408*r - 440 - 26 + 1789*r wrt r?\nAnswer: 1514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 24 - 36. Suppose 4*q = -3*b - b + 116, -2*b = -q - 52. What is the lowest common multiple of ((w\/4)\/5)\/((-2)\/40) and b?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 5*w + 3, g - w + 1 = 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-13)\/3)*-3. Put 3, -5, -0.2, j in ascending order.\nAnswer: -5, -0.2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*r + 11. Let l be (-2)\/r + (-78)\/(-24). Let m be l\/(-9) + 12\/9. Which is greater: m or 4\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 867 + 4*u**3 - 5*u**3 + u - 563. Is 11 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 + -521. Let d = c + 262. Let -3\/5*t**d - 6\/5*t + 0 = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)*i**(-7))**(-3\/50) assuming i is positive.\nAnswer: i**(117\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -1. Suppose 5*t = -2*b - 4 + 21, -4*t - 48 = -4*b. Calculate the least common multiple of i and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 + 424*s**2\/7.\nAnswer: -s**2*(s - 424)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17962943 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968 - 200 = 16*q. Calculate the least common multiple of q and 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1446*r**2 - 731*r**2 - 136*r**3 - 2 - 724*r**2 to x*r**3 + f + d*r + s*r**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) 2 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/25, 3, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 12*j - 13. Suppose -153*p = -150*p - 39. Let h be a(p). Solve -4*w = -h*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63) - sqrt(1008)))\/sqrt(9).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 182249*k**2. Let w(q) = 23*q. Calculate b(w(c)).\nAnswer: 96409721*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzkzakzbzz. What is prob of sequence abz?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let k(f) = 1214197*f**2. Give i(k(a)).\nAnswer: 2948548709618*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 2}. What is prob of sequence kl?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*m + 7. Let h be 0\/(m*(-3)\/6). Suppose -5*t + 2*t = 15, h = -f - 5*t + 78. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let k(u) = 2939652*u**2. Determine l(k(m)).\nAnswer: -8818956*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 30*v\/13 + 100\/13.\nAnswer: 2*(v - 10)*(v - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s = -z - 5, -7 = -5*z + 4*s. Let r be (-2)\/(z\/((-9)\/6)). Solve -3*i = t - r, -3*t - 15 = -3*i + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637103 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 1 - 3)*(2*u**4 + u**4 - u**4).\nAnswer: -2*u**5 - 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5. Let i(h) = -620*h**2 + 35 + 1241*h**2 - 622*h**2. Let r(j) = 14*g(j) + 2*i(j). Let f(a) = -12*a**2 - 3*a**2 - 4*a**2. Calculate f(r(b)).\nAnswer: -76*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2 + 1 + 2 + 0*d**2 - 2*d. List the prime factors of k(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/12 - 7*q**3\/6 - 2*q**2 - 2*q + 65. Suppose 0*k - t = -3*k + 49, 15 = 3*t. Suppose 3*j - k = -0*j. Give z(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 2*p**2 + 4. Let h be u(2). Sort h, -3, 33 in decreasing order.\nAnswer: 33, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453 - -756. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001990667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let z(o) = -7*o + o**3 + 3 + 8*o**2 + 1 - 3*o**2. Calculate the smallest common multiple of k and z(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -43, 2 in descending order.\nAnswer: 2, -2, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*c + 9504 - 3576 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 3. Suppose -11*g + 7*g = -8. Suppose -j = -4*q - 22, g*j = 4*q - 8 + 32. What is the units digit of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let i = 5.3 - 5. Suppose -4*p - 8 = -2*h, -4 = -70*p + 72*p - 2*h. Which is the closest to i? (a) p (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 24. Calculate the remainder when 50 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 823537 and 23807706?\nAnswer: 261884766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2265*y - 2267*y = -13, 19 = 3*k - 4*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41072 = -2*x + 5*o + 40964, -2*x = -11*o + 132 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(d*d**(2\/5)))\/d)**(-5\/3)*d**1\/(((d\/(d\/d**1)*d)\/d)\/d))\/(d\/((d*d\/d**5)\/d*d)*d*d**(-5)*d\/d**(-2\/19)*d**1) assuming d is positive.\nAnswer: d**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, n: 1, u: 2, t: 1, m: 1}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2654197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, q: 4, z: 1, h: 2}. Give prob of sequence zqwq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -416880 and -416882 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 17*i + 297846 - 2728359. What is the ten thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + (27 - (27 - 64)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3039*d**6 - 2*d**2 - 225*d wrt d?\nAnswer: -364680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - l + 4. Let h be x(-2). Find the common denominator of 42\/(-8)*(-12)\/8 and (-1)\/h*(-3)\/(18\/(-786)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41101 + -16111635\/392. Calculate the common denominator of -7\/88 and b.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2075 + -28313?\nAnswer: -30388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3166.55 litres?\nAnswer: 3166550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342.92 + 343. What is the closest to 0.1 in -5, 0.3, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332417761*t**4 - 37343*t**2 - 39 wrt t.\nAnswer: -7978026264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36036690424145 from 3.\nAnswer: 36036690424148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -302042?\nAnswer: 302042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 j when three letters picked without replacement from bjdpajya.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v + 2. Let r = 2 + -2. Let i be z(r). Let -2*c + 5*c**4 + c + 5*c**3 - 2*c**4 - 4*c**5 - 3*c**i = 0. Calculate c.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6*(-10)\/15)\/6)\/(12\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -265*p + 7. Let m(w) = -268*w + 6. Determine 3*l(x) - 4*m(x).\nAnswer: 277*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 16239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * 648.\nAnswer: -1360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30136 times -29.6\nAnswer: -892025.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382613448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1\/7*c**2 + 0*c + 1\/35*c**5 - 2 + 5\/21*c**3 + 1\/7*c**4. Factor i(j).\nAnswer: j*(j + 1)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(144) - 1*sqrt(144))\/sqrt(12))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -524 - -557. Suppose 4*u - 6052 = 3*n, 3*n + 1504 = 34*u - g*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16692 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -5*w - 102. Let u = 42 + w. Suppose 596 = 5*m + u*x, 575 = 5*m - 6*x + x. List the prime factors of m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 3*u**2 - 6*u**2 + 139383878 - 139383878 + 2*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 11*w**2 - 10*w + 11. Let x(p) = 3*p - 10. Let y be x(8). Suppose y*t - 13*t = 8. Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 410331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 1116. Let g be 3900\/(-18) - 4\/(-6). Let t = g - v. What is t rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -34*v - 12 - 197 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -26. Suppose -c - 16 - 13 = -3*o, 28 = 4*o - 4*c. Let n = p - o. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/413310 and -187\/1350?\nAnswer: 18598950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*v - 10960 + 10937, -5*v - 5*t = 7*v + 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.03 - -5.4. Let l = m + -0.57. Let s = 3 + -2.6. What is the second smallest value in s, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvxxxvfvvfvvffvv. Give prob of sequence xvxx.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*f + z, 14 - 2 = 4*f - 4*z. What is the second derivative of 2 + 624*d**2 - 619*d**f - 24*d - 2 wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2611201\/180 - 116055\/8. Find the common denominator of v and -91\/380.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, b: 1, h: 5}. Give prob of sequence uhbh.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 1410 + 1002. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, -2, -16039, 21 in decreasing order.\nAnswer: 21, 2\/35, -2, -16039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - s**3 - 98 + 4*s**3 + 7 + s**3.\nAnswer: 4*s**3 - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -61*h + 48. Let l(d) = 15*d - 11. Let f(p) = 2*b(p) + 9*l(p). Let s(m) = 4*m. Give f(s(q)).\nAnswer: 52*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(8\/5)\/(w\/(w**(-27)\/w)) assuming w is positive.\nAnswer: w**(-137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234196997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-24 - (7 + 4 + -29 + 11))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-56))\/(2\/20*-2). Let l(o) be the second derivative of -5\/6*o**4 - 9*o + 0*o**3 - u*o**2 + 0. Differentiate l(g) wrt g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 - -0.01527?\nAnswer: 1.21527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/1295 and 29\/1202845.\nAnswer: 44505265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 3*u + 1. Suppose -1 = 5*o - 16. What is the units digit of x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 620189 by -5.\nAnswer: -620189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 8361.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(13) + -4*sqrt(1300) + sqrt(1300) + 2)**2.\nAnswer: -116*sqrt(13) + 10933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189.698 tonnes in kilograms?\nAnswer: 5189698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + n + 399 = 0, -c - n = -5*n - 182. Find the common denominator of 7\/(2 - 10\/13) and c\/(-4)*(-4)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099739403 to the power of 1\/3, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6970944816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 10. Suppose 0*t = -4*j + 3*t + 15, a*j = -t + 33. Is 12 a factor of (1464\/(-36))\/((-4)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 4892*d**2 - 29860*d - 447356.\nAnswer: 4*(d - 13)*(d + 7)*(d + 1229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3506 - 3108. Which is the second biggest value? (a) 6 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1729 - 3896 = 9*l. Let d = 597 - 1223. Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 57 = 6*b. Let k = b - -27. Let x = -12 - -27. Calculate the remainder when x is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -2) + (-5 - -28) - (-1 + 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/5*10\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -548, -547, -546, -545?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -6533 - 565. What are the prime factors of s?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f + 2*w, -w = -3*f - 3*w + 4. Let k(a) = a**2. Let h(l) = -30*l**2 - 4*l + 3. Let v(p) = -h(p) + 5*k(p). Is v(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)\/(w**3\/w*w))**(8\/3))**(-4) assuming w is positive.\nAnswer: w**(544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243000 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10529.5879 to the nearest ten.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 6*sqrt(99)*-2)\/(sqrt(90)\/sqrt(90)).\nAnswer: 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*-6*(-4)\/18.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 9)\/((1701\/(-6))\/9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3621 + 3620.8. What is the fourth biggest value in -5, -2\/3, 8, 4, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1165, -5, -0.6, -65 in descending order.\nAnswer: 1165, 17, -0.6, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = 2*x. What is the least common multiple of 6\/(2\/(8\/6)) and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 309, 330, 379, 468, 609, 814, 1095, 1464?\n\"Answer: 2*u**3 + 2*u**2 + u + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13939440 - -5?\nAnswer: -13939437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5288424 or -5288423?\nAnswer: -5288424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27955005.7 from -582.\nAnswer: -27955587.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20985 rounded to the nearest one hundred?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcecednnwnnwnwn. What is prob of sequence ne?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 26. Suppose 128*a + 43 + 72 = 151*a. What is the greatest common divisor of a and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.6084 rounded to the nearest integer?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26734 + 26682 = 4*s - 12*d, 0 = -3*s - 4*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x - 23\/42*x**3 - 2\/7*x**2 + 9\/140*x**5 + 0 - 5\/14*x**4. Suppose m(s) = 0. Calculate s.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11753\/4 + -2938. Which is smaller: 23 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1366834, 5467344, 12301528, 21869386?\n\"Answer: 1366837*a**2 - a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 3*d**2 + 4*d + 9. Let p(f) be the third derivative of -f**6\/120 - f**4\/24 - f**3\/6 + 4*f**2. Let b(g) = -o(g) - 2*p(g). Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911801854 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 125190373404951.\nAnswer: 125190373404950.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 140 = -2*o, 406*t - 811*t + o + 338 = -412*t for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -6498 (b) 15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1624 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 0.5, 0.39 in ascending order.\nAnswer: -2, 0.39, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, b: 3, v: 4, r: 1, o: 2}. Give prob of picking 3 b.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 913, 1828, 2743, 3658, 4573?\n\"Answer: 915*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = -14. Solve -b*h = -6*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/10)\/(4\/(-40)). Suppose -5*g + 25 + 90 = 0. Let k = g + z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 129 = 3*l + 3*k, 2*k = -4*l + 158. Calculate the highest common divisor of 57 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1.4, -1, 4, 6, 3\/88?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20*(-24)\/(-63)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, -4 in descending order.\nAnswer: 2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0724 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 82 - 82.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:06 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3207 - 104d2?\nAnswer: -136d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2, 0.133, 1\/2, -96397?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -a + 2*u + 36, -2*a - 2*u + 88 = 0. Let k(t) = 493*t - 2884. Let q be k(7). What is the highest common factor of a and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/15 and 2\/(-84)*(700\/189)\/2.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7630 = 8*l. Suppose -l = -2*h + s, 4*s - s - 3 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 5\/24*b**4 - 1\/20*b**5 - b - 1\/3*b**3 + 1\/4*b**2 + 0. Factor o(t).\nAnswer: -(t - 1)**2*(2*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 5*o + 4*f, -4*f = -3*o + o - 66. Suppose k - 4*a - 24 = 0, -2*k = -3*a + a - 60. Let r = o + k. Is r at least 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 4. Let o be m(-3). Let k(i) = i - 6. Suppose -21 = -4*b + 3. Let v be k(b). Solve 3*y + 1 - o = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5654 by 8264.\nAnswer: -2827\/4132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - y - y + 2*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 86625834*f - 625336259682963 = 0. Calculate f.\nAnswer: -14437639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 5*q - 3*q - 12 - 2*q**2 - 5*q + 1. Determine d(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 40. Suppose 3*d - 8*d + m = 2*v, -4*v + 5*d = 4. Let x = -4 - -1. Sort v, 2, x in descending order.\nAnswer: v, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3140720 divided by 1892\nAnswer: -1660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9 + 12*t + 7)*(-2 + 5 - t - 2).\nAnswer: -12*t**2 + 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 65*y + 4 - 6 = 63*y, 0 = -3*y + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7832 and 46992.\nAnswer: 46992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -962, -0.31, 1?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.59 - 1.06. Let a = r - 0.13. Let v = 4 + -1. Sort v, a, -3\/7.\nAnswer: -3\/7, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 839, 838, 837, 836, 835?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 5*k**2\/2 + k\/2 - 5\/2.\nAnswer: -(k - 5)*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8*b = 108. Suppose -182794040 = -b*q + 476005960. What is q rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5173 + 206994. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1328*g**4*k**3 - 5*g**2*k**3 + 229*g**2*k wrt g?\nAnswer: 31872*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -13. Suppose -a + 5 = -q*a. Solve -2*s + a*j + 33 = 2*s, -4*s = j - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.070587 millennia?\nAnswer: 407.0587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8457 > 41\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56807207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i + 5*w, 6*w - 3*w - 36 = -4*i. What is the tens digit of -3 + i - -120 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 8*p**2 + 4*p - 6. Let j be ((-2)\/(-3 - -1))\/1. Let n be (j + 1)\/(2\/(-7)). Let k be g(n). What is the greatest common divisor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -694*t - 337. Let d be u(4). Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 21 = -r. Suppose -3*h = -2*k, 3*k - 3*h + h = 0. Suppose -y + 5*y + 9 = -s, -2*y + 3*s = 15. Which is the nearest to k? (a) r (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1)*r)**(-1\/5)\/(r\/(r*(r**(-5)\/r)\/r*r*r)*r\/r**2) assuming r is positive.\nAnswer: r**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370699780 is divided by 4707?\nAnswer: 4702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s*s**1 assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (14 - 5 - 15)) + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -152*n - 43*n + 184*n - 3. Let i(d) = 56*d + 16. What is -16*h(v) - 3*i(v)?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 29 = 4*g, -2*g - 3*k + k = 16. Let o = g - -10. Let y be (-27)\/24 - -1*1. What is the nearest to -2\/5 in -3, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 453 - 225. What is the common denominator of (-248)\/(-20)*(1 + (-208)\/c) and 59\/7?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 + 5*f - 1. Determine c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2566729867 - -6.\nAnswer: -2566729861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1944, 3888, 5832?\nAnswer: 7776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 3*v**2 - 10. Let m(n) = -5*n. What is p(m(w))?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 4) + (13 - 33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134372044 plus 0.09601?\nAnswer: 0.230382044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.7 (b) 5 (c) -9 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209.1 + 201. Which is the second smallest value? (a) 2 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5150 is divided by 1690.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pzpzppzzpzzpz?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (59 - (-87 - -95)) + -15\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2452921 plus -1.2?\nAnswer: -2452922.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s**5 + 0*s + 3\/10*s**6 - 14*s**2 + 11\/3*s**3 + 0 + 0*s**4. Differentiate t(p) with respect to p.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2107720 and 31\/185.\nAnswer: 77985640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k - 9. Let x be m(-1). Suppose x = -4*q + 2*p + 1040, p = 2*q - 4*p - 504. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.4 (b) 0.2 (c) -10 (d) 0.34 (e) -6.7 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) -0.02 (b) -4 (c) 310\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 251, 2 in decreasing order.\nAnswer: 251, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 8*q + 112. Put -4, -5, q in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 3250344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55228461*h**5 - 1062532*h**2 + 20*h.\nAnswer: -3313707660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 - 4*n**2 + 2*n + 2. Let t(z) = -12*z**3 - 12*z**2 + 7*z + 7. Let m(b) = -7*r(b) + 2*t(b). Suppose m(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5723843 is divided by 7683.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 59. Let i = 1229 + -1178. Calculate the highest common factor of h and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 155 = 267 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -302572 divided by 3?\nAnswer: -302572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h - 2. Let r(m) = 8*m**2. Calculate q(r(d)).\nAnswer: -48*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 - 9 = 0. Suppose 2*q = -0 + 2. Let i be (-65)\/(-105) + q\/d. Is 0 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 0 = -42. Solve 0 = -t*n + 4*n - a + 8, a = -3*n + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32055948 - 13444052. What is l rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29596 is divided by 124.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -28321*n + 56640. Calculate t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, r: 2, q: 2, y: 3}. Give prob of sequence ryq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3859 + -1087. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 17*j + 22 = -18*j, 0 = 3*y - 16*j - j - 74 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6744944 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20980566060 - -49?\nAnswer: 20980566109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in -1, 1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-4\/3)\/s)*s\/s**(-3) assuming s is positive.\nAnswer: s**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31858 + 53277. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*u**3 - 12*u**2 - u**2 + 13*u**2 + (-1 - 3 + 6)*(-4*u**3 - 2*u**3 + 4*u**3).\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 258*j**2 - 128234*j + 3971. Give o(497).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = -19*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1523 divide 2143521980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2376814, 2376810, 2376806?\n\"Answer: -4*q + 2376818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*h + 29, -5*p + 4*h + 32 = 5*h. Suppose 0*a - a + p = 0. Calculate the remainder when 12 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.5389682 to two decimal places.\nAnswer: -56.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14585941 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 243*u - 476*u + 214*u as q + l*u and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000166151 rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a + y - 4 = 54*a, 4*a + y = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*(-77)\/((-7623)\/(-66)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200.3 - 207. Let h = m - 27.4. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 - -27*(-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(sqrt(500) - (-2 + sqrt(500) + 2)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -14 + -4 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1\/2 (c) 2123\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1813158 and -91\/13900878.\nAnswer: 41702634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let a(i) = -2*i**2 - 1068*i - 3. Determine a(n(t)).\nAnswer: -2*t**4 + 1068*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b**2 + b)*((1 - 4 + 1)*(-16 + 1 + 6) + 49 - 3 - 6).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 31503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 23 - 18 - (6 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1022)\/5)\/7)\/(5 + 204\/(-40)). Is z bigger than 305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379*d**3 + 9 + 369*d**3 + 180*d**4 - 27*d**2 - 42*d**2 + 178*d**4 - 359*d**4 wrt d.\nAnswer: -24*d + 4488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 12. Let p(o) = -o**2 + 9*o - 6. Let c be p(a). Let x(n) = 1 + 1 + n + c. Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30465 + -484. Differentiate 27*h**3 + 29981*h**2 - x*h**2 + 126 wrt h.\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 27*k**2 + 81*k. Determine b(-8).\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 3421*y**7\/70 + 14533*y**4\/24 + y**2 + y - 8. Find the second derivative of o(r) wrt r.\nAnswer: 123156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:08 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 245 = c + 6*o, 5*c + o = 1270. Calculate the remainder when c is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*x + 2*x - 3.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:11 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/7 (c) 2 (d) -3\/13 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 0.3, 48, -453, 5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 542360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 138.98. Let p = m + -2.020107. What is p rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 457724*f**3 + 6023196*f**2?\nAnswer: 2746344","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -8156, -8150, -8132, -8096, -8036, -7946?\nAnswer: -7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -49, -5 in decreasing order.\nAnswer: 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -15*f + 25*f. What is the biggest value in 4, -0.2, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06197718 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1*21\/(-9). Suppose -5*j - 20 = -z*j. Solve 4*y + j = -i - 6, 5*y = 5*i + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 6559358?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + (-47 - 25) - (1 + 51 + -1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 divided by 2?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/835)\/(((-1995)\/(-175))\/57)\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31681332 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 416 - 143. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1565830, 3131675, 4697508, 6263323, 7829114, 9394875, 10960600, 12526283?\nAnswer: 14091918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 + 165. Let w = 61 - b. Let q be 14 + w - 0\/3. Solve -z + 2*a - 4 = q, -z - 2*a = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 3*o)*(-3 + 5 - 3) + (-1 + 1 - o)*(-113 - 194 + 64)*(0 + 5 + 0).\nAnswer: 1216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 31747888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346 + 363. Solve -n*d - 3*d = 60 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 252?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6 + -1 + -3)) + -6 + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140613*x**3 - 71050*x**3 - 69564*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11438702 divided by -8\nAnswer: 5719351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*w**4 + 819 - 5000532*w + 3*w**3 + 5000532*w wrt w.\nAnswer: -216*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.287 + 30.687. Round d to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4837256*p - 4837256*p - 23*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -414169*g*o - 3*g + 11*o + 737287 wrt g.\nAnswer: -414169*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g**2 + 9*g - 26. Is d(6) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/18)*y\/(y*y**(2\/17)*y)*y)\/(y**(1\/4)*y**13))**(-20) assuming y is positive.\nAnswer: y**(38015\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 1. Suppose 14 = 4*g - f. Suppose 3*s + g*q + 705 = 0, -601 = 4*s - q + 316. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 = 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1344785.399948 + -1344782. Let s = 3.4 - z. Round s to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 982 = -z, -2*z = -5*m - z + 2469. What are the prime factors of m?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*s*z**2 - 50*r**2*s*z + 5*r**2*v*z - 3*r**2*v - 1175*r**2*z**2 - 3*r*v*z - 7*s*v*z**2 wrt z.\nAnswer: -2*r**2*s - 2350*r**2 - 14*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37821 and 14.\nAnswer: 75642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*k + 31*g**2*k*z + 23*g*z - 183*k*z + 431*k + z - 1 with respect to g.\nAnswer: 3*g**2*k + 62*g*k*z + 23*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 1)*(-8*l**2 + 14*l**3 + 8*l**2)*(-10 + 7*l + 10)*(4 + 3 - 5) in the form g*l**3 + q + m*l + t*l**2 + j*l**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2*(4 - 3). Let f(p) = 7*p**2 - p. Let w be f(z). Let h = 471 + -457. Solve 0 = -2*q + 4*l - h, 4*q - 3*l - 27 = -w*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhmhmv. Give prob of picking 1 m and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.781992 days in hours?\nAnswer: 42.767808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5436, -10865, -16294, -21723, -27152, -32581?\n\"Answer: -5429*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 49. Let t = 5.8 - -0.2. Let x = -4 + t. What is the second smallest value in 0.5, m, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -851636 - 23516.67?\nAnswer: -875152.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18395376 and 471000.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21723 + 3069*l + 21723.\nAnswer: 3069*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473960.\nAnswer: 2, 3, 5, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.1 + 32. What is the nearest to 3 in -0.4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-9942)\/(-8))\/(-71). Let m = -3\/284 - g. Let u = m + 17. Which is the closest to u? (a) 0 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26692891\/8 or -3336612?\nAnswer: -3336612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1212\/3232)\/((-2)\/32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77832 and 6295744?\nAnswer: 56661696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*q = 11*q. Solve 3*h = -q*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3 - (-7)\/(-3)). Let p(u) = u**3 + 3*u**3 - 3*u**h. Let n be p(1). Solve -n - 3 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*f - 5*x = -573*f + 26, 3*x - 33 = -3*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28116.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h - 4*s + 1, -3*h - 4*s + 7 = 0. Calculate the lowest common multiple of -157*(12\/(-36))\/((-1)\/h) and 11.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/3640 and -47\/77.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let v(z) = z + 7 + z + i. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2249 - 73*g + 2249)*(3*g + g**2 - 3*g).\nAnswer: -73*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/n**(1\/29))\/n*n*n\/n**(11\/3)*(n\/(n\/(n*n**(1\/40))))**(29\/3))**(-2\/47) assuming n is positive.\nAnswer: n**(-35521\/81780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1077*s - 1365*s - 1128*s + 213*s - 1686*s in the form i*s + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8 - -1)*(-3)\/13*(-338)\/39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -80, -163, -268, -389?\n\"Answer: i**3 - 20*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*j + 24 = 0, -3*v + 3*j + 50 = -16. What is the remainder when 33 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f - 68. What is the hundreds digit of w(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(128) + sqrt(128) + (sqrt(128) - sqrt(128)*-2))*1 + (sqrt(128) - -3*(-1 + sqrt(128)) - ((0 + sqrt(128) - sqrt(128)) + -4)) + 2)**2.\nAnswer: 144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 36 = -0*l - 4*w, -19 = -l + 3*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*g - 698 - 82 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q**3\/5 + 64735901*q**2\/5 + 99415904*q\/5 + 4623996 = 0. Calculate q.\nAnswer: -5\/4, -2\/7, 2311998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -2, -9394, 1, 3.\nAnswer: -9394, -5, -2, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*m = 907 + 143 + 156 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37638887, 37638888, 37638889, 37638890?\nAnswer: 37638891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 1}. Give prob of sequence dr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -906236, -906244, -906264, -906302, -906364, -906456?\nAnswer: -906584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:49 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 3*y)*(-2 - 1 + 6)*(1 + 0 + 0) - 2*y - 6*y - y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31012310 (base 4) to base 12\nAnswer: -27098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/120 + 2*w**5\/15 + w**4\/3 + 3*w**3\/2 - w**2. Let g be s(-7). Let a be 46*(-3 - (-3)\/g). Round a to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/6 - 5*n**2\/2 + n. Let o be q(-5). Let j = 20 + o. 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 o(p) be the third derivative of 17*p**6\/8 - p**4\/6 + 2*p**3\/3 - 149*p**2. What is the units digit of o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96\/1161541 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 - o. Suppose 0 = -14*w - 34 + 62. Give c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -3?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-6559\nAnswer: -6559.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1)\/(48\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, j: 6, r: 2, d: 3}. Give prob of picking 2 r, 1 j, and 1 d.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*y + 430, 2*y + 739*d - 740*d = 414. Is y not equal to 809\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(100) - sqrt(100)*1)*-1 - sqrt(100))\/sqrt(5))\/(3*(sqrt(160) + 1*sqrt(160) + sqrt(160))))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/551 + 50137\/1102. Calculate the common denominator of 2\/(-22)*-49 - 3 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*j - 165, j + 0*v - 33 = -3*v. Suppose -j*w + 28*w + 80 = 0. What is the lowest common multiple of w and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/210 + o**4\/84 + 2*o**3\/7 - 33*o**2\/2 - 31*o. Let a(v) be the first derivative of d(v). Determine q so that a(q) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3814596 + 3824383.505. Let d = m - 9748.504982. Let w = d + -39. What is w rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 28*v**2 - 30*v - 42. Suppose h + 23 = 2*b, -61*b - 131 = 4*h - 56*b. What is c(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 6*l - 2. Suppose 0*b - 6 = -b - 2*j, -3*j = -4*b + 35. Suppose -f = -2*f - b. Let p be (3 + 18\/f)*-8. What is d(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -193, -552, -1201, -2224?\nAnswer: -3705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 32 = 2*h, 4*h + 37 = 3*m - 0*m for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/l*l)\/(l*l\/(l**11\/l*l)*l*l*l))\/(l*l**(-3)*l*l\/l**(-1\/10)*l) assuming l is positive.\nAnswer: l**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w**2 + 1 + 5*w**2 - 6*w - 3*w**2. Let u be 2\/2 + 10\/2. Let b(s) = -7*s**2 - 37 + 3*s + 36 + 4*s. Determine u*v(m) + 5*b(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2173*g - 2173*g + 89*g**2 - 2 to m*g**2 + v*g + d and give m.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*b + 21, -2*k + 7*k + 18 = b. Let d(x) be the first derivative of 2\/3*x + 2\/3*x**2 - 13 + 2\/9*x**b. Factor d(c).\nAnswer: 2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 9. Let z(x) = 6*x - 2. Let r be z(o). Solve r*j + 25 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8750 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47\/3? (a) -5\/3 (b) -5737 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1c1921 (base 13) to base 5\nAnswer: 140432040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160691958 divided by 54.\nAnswer: 2975777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b + 6. Let s be g(9). Suppose -l + 125 = 3*k + l, 5*k - l = s. Suppose 3*h = 4*i + 9, -i = 5*h + i - k. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 167, 99, 2\/61, -0.5 in ascending order.\nAnswer: -5, -0.5, 2\/61, 99, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1330, -13\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*n - n + 29, -4*u + 5*n + 32 = 0. Solve -u*m + 0*m = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**2 - d**2 + (5*d**2 - 3*d**2 + 4*d**2)*(0 + 0 + d**2) + d**4 - 2*d**4 - 2*d**4 + (-1 + 1 - 1)*(d**4 + 0*d**4 - 5*d**4).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 23*b**2 + 24*b + 164. What is o(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -20, 1298 in decreasing order.\nAnswer: 1298, -20, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53770922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 3. Determine o(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 9 - 7. Let v = -8 - z. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*26 + -1)*-1. Let q = -33 + y. Let a = 25 - q. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100000111111?\nAnswer: 100000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(84\/6)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 0.78. Which is the second biggest value? (a) o (b) -1 (c) 0 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 13 - 2 + 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2 + 10. Let p(w) = 5*w**2 - 11. Let k(q) = 4*d(q) + 3*p(q). Let l(m) = m. Determine k(l(i)).\nAnswer: -i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 = -5*b - 9, 0 = -5*o + 4*b - 10. Put 2, 9, o, -5 in increasing order.\nAnswer: -5, o, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = -5. Calculate the lowest common multiple of -5*((-6)\/(-5))\/b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -5*h - n + 5, -2*h - 12 = -3*n. Let i(c) = 11*c. Let y(l) = 4*l. Let r be ((-12)\/1)\/((-3)\/2). Calculate h*i(v) + r*y(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let z(w) = 0*w - 11*w + w - 1. Let a be z(q). Calculate the highest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3381 = 634*p - 641*p. Let i = p + 500. Let c = 41 - 23. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) - (sqrt(105)*2 + sqrt(105))) + sqrt(105))\/sqrt(3))\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 92.06. What is the nearest to -1\/3 in 0.1, w, 2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-23.0105711.\nAnswer: 92.0422844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, h: 1, i: 2, q: 1}. Give prob of picking 1 h and 1 b.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/1333, 5, -0.1, -414?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/35 - 0)\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142866.795 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 451\/(-2)*(-3432)\/9438.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 36. Let h = -0.024696 - -17.021096. Let k = g - h. Round k to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302397489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101856 or -102071?\nAnswer: -102071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 29 (b) -61 (c) -0.2638\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 1:27 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6825*p**3 + 12*p**2 - 2*p + 315.\nAnswer: 40950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(468)*4 + -1 + 0 - (sqrt(91) - (sqrt(91)*2 - sqrt(91))*-2)\/(sqrt(1575) - sqrt(63))).\nAnswer: -95*sqrt(13)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/24067442 and 99\/27938.\nAnswer: 1468113962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -103.36 (c) 1 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111 + -11010101001?\nAnswer: -10110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 83 = -2*p + 76, -3*j - 3*p + 159 = 0. Let c be -1 + (1 - 3) + j. Let m = c + -28. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k + 5*k**2 - 4 + 0*k**3 + k**3. Let r be x(-6). Let v = r - -583. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*f - 6 = 0, 3*o + 10 = 2*o - 5*f. Suppose q = r + 8 - o, -2*q + 1 = r. Does 12 divide (29 - -1)*(-2 + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212102122000 + -11002?\nAnswer: -212102210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99869 is divided by 14267.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 276*h**2 - 117*h + 44282. Calculate d(-277).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83538458 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17\/4 (b) -0.08 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*q - 27. Let i(h) = q + 24*h + 3 - 13*h - 14*h. Is i(-14) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12550*v**2. Let a(z) be the first derivative of -z**2\/2 - 2428. Determine a(w(x)).\nAnswer: -12550*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 93*f + 12367. Give p(-136).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 - 3.855. Let t = 0.18 - z. Sort t, 0.3, -2\/5 in ascending order.\nAnswer: -2\/5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 - m + 3. Let y be c(6). Let h(d) = -d**2 - 5*d - 2. Let t be h(y). Suppose 2 = -u + t. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -66. Let t = 67 + u. What is the closest to 0 in t, 4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105917*m**2 - 4 + 4 + 105915*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 16 = 15*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2740, -11082, -25132, -44980, -70716, -102430, -140212, -184152?\nAnswer: -234340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 - 1 = u, 3*u = 3*v + 9. Let m = u + 7. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 - -30. Let d = -126 + v. Solve -d*h - 26 = -3*o, 2*o - 4 + 5 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 10:59 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5710500 (base 10) in base 2?\nAnswer: -10101110010001010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 1692 = -17*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(288) - (-1 + (sqrt(288)*2 - sqrt(288)) + sqrt(288))) - (sqrt(288) + 3*sqrt(288) + -2)*6) + 5)**2.\nAnswer: -10200*sqrt(2) + 180289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -17\/3551 (b) -4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 5.6. Suppose -4 + 1 = n. Let o be 2 - (n + 11) - -2. Which is the closest to 0.1? (a) 4 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from ddaddqdddddddqddd.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 1. Let c(q) = -2*q - 1. Let o be 7\/(42\/(-4)) - 51\/(-9). Suppose y - 6*y - 2 = -a, o*y = -5. Let k(f) = a*z(f) - 4*c(f). Give k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-555 - -566) + (-3 - (0 - (-1 + 3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 3*q**2 + q**2 + (1 + 7 + 0)*(-2*q - 8*q + 5*q)*(44 - 2*q - 53 + 32) to z + h*q + j*q**2 and give j.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146755363 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**3 + 26*l**2 - 30*l + 28. Let r(i) = -i**3 - i**2 - 3*i - 1. Let m(u) = -5*r(u) - t(u). Let m(z) = 0. What is z?\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 36. Calculate the greatest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5074, -4990, -4852, -4636, -4318?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -2.39, -951\/8?\nAnswer: -2.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(26)\/sqrt(98))**2 + (sqrt(468)*-1)**2).\nAnswer: -91192\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3329 or 3325?\nAnswer: 3325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49499 is divided by 105.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/15 and 31\/1017?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*r**4 + 5*h*r**3 - 3*h*r + 5*r**5 + 13144*r wrt r?\nAnswer: 24*h*r**2 + 30*h*r + 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2217 or -2212?\nAnswer: -2212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 14. Let g = 15 - 24. Let d be o(g). Let v be 127 + -9 - (0 + 1). What is the highest common factor of v and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**2 - 51 + 0*p + 1\/25*p**5 - 1\/30*p**6 + 1\/20*p**4 - 1\/15*p**3. Solve o(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 - 82. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -121*c**2. Let a(s) = 406*s. What is a(i(y))?\nAnswer: -49126*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-112) + 5355\/7056.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8 - 369*c + 376*c + 12 + c**2. What is the remainder when n(-8) is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003335601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863337 is divided by 69837?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 16. Let p(w) = -2 - 3*w - 10*w + j*w. Let s(q) = 0*q + 4*q - 3*q - 2. Determine -4*p(l) + 3*s(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/50 + (-254)\/50. Let c be (-3)\/((-6)\/(-4)) + 3. Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2)\/(9\/15). Let l be (28\/10)\/(1\/w). Suppose -4*a + 18 = l. Solve 0 = 2*z + a + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1717524 divided by 228\nAnswer: -7533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(1\/2))))\/o**(-3)*(o**0)**(-2\/37) assuming o is positive.\nAnswer: o**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5385, 5550, 5713, 5874, 6033, 6190, 6345?\n\"Answer: -l**2 + 168*l + 5218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1133 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, 0, 15\/2 in increasing order.\nAnswer: -1, 0, 0.4, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*b - 1486, -2*b + 5*b = 5*u - 3729. Suppose 14*c = 11*c + u. List the prime factors of c.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 1558966?\nAnswer: 21825524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5663 = -4*z + 2*t + 5719, z = 5*t + 32 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104000 is divided by 5131.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4 - 6*d**3 + 7*d**2\/2 + 13*d. Is k(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 32*q = -63*q + 675 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*p**3 - 1261*j**3*p + 3495*j**3 - 2*j**2*p**3 + 2250408*j wrt j.\nAnswer: 12*p**3 - 7566*p + 20970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900058.\nAnswer: 2, 450029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36 + (-2 - -1) + 1. Let u = 96 + -52. What is the remainder when u is divided by 20\/6*d\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*i*m - 1145*f*m - 2*i*m - 495*i - 2*m - 2 wrt f.\nAnswer: -2*i*m - 1145*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/240 + 13*d**5\/120 + d**4\/24 + 3*d**2. Let n(w) be the second derivative of b(w). List the prime factors of n(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*u - 337*u + 40*u**3.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, -1\/5, 9, -7606, -2.5?\nAnswer: -7606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -3*q - 6, -2*x + 3*q = -17. Let t = 35.9 - 32.9. Which is the third smallest value? (a) x (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 374593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 19. Suppose -5*w = -g + 8. Let n = -1.99 - 0.01. Which is the smallest value? (a) w (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1296802.\nAnswer: -1296801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*83\/(-332)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281 - -283. Let i(o) = 2*o - 2. Give i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132513 - -2404?\nAnswer: -130105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 10*z - 13*z = 147 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0391018 rounded to four dps?\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 3*t - 2*t)*(3 - 2 + 1).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 876 + -477. Let n = t - 4395\/11. Which is the closest to 7? (a) n (b) 0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-27)\/((b\/((b*b\/((b*(b\/(b*b**6*b))\/b)\/b))\/b))\/b) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63419, 0, -3, 3, 5, -4 in increasing order.\nAnswer: -4, -3, 0, 3, 5, 63419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.062 or -2\/1049?\nAnswer: -2\/1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43138655 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30733 (base 9) to base 10\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/(-28))\/((-2)\/(-40)). Let o be (18694\/s)\/13 + 6\/45. Calculate the highest common factor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -330 + 6*v**2 - 337 - 4*v**2 - 336 + 1004 - v. Let n(t) = -4*t**2 + 2*t - 3. Let p = -4 - -2. Calculate p*n(u) - 5*w(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47527, -94650, -141773, -188896, -236019?\nAnswer: -283142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u - 10. Let c(a) = a + 1. Let q(i) = 10*c(i) + j(i). Let y(h) = 19*h**2. Calculate q(y(v)).\nAnswer: -38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3874131 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 4.1 (c) -798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 74. Suppose p = 18*f + 22. Solve 0*t - f = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/6)*m*m\/m**(-5\/2)*m*(m**0*m)**9*(((m\/m**(-5))\/m)\/m)\/(m*m\/((m*m*m\/(m*m**(-3\/7)))\/m))*(m**(-1))**(-1\/22) assuming m is positive.\nAnswer: m**(8227\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3800, 7599, 11398, 15197, 18996?\n\"Answer: 3799*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8204?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-36.13998.\nAnswer: -36.13998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 0.05, 0.07, 1\/4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*p**2 - 4*p**3 - 2*p + 24*p**2 + p + 4*p to l*p**2 + r*p + n + c*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, e: 1, x: 5, d: 1, z: 1, i: 3}. Give prob of picking 2 h, 1 z, and 1 d.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccr when four letters picked without replacement from arcvaaavccaa.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*f**2 + 413*f**2 - 805*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 - 1520*d**4 + 244635*d**3 - 2965090*d**2 + 7205780*d - 4483800 = 0. What is d?\nAnswer: -423, 1, 2, 10, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5393589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4137158*o - 8274325*o + 4137163*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from xxaaxvpaxlx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5925651 - -2\nAnswer: -5925649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-1085))\/((-2)\/5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ussuvvuussmuvvvsuv. What is prob of sequence um?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -133225, 4 in descending order.\nAnswer: 4, 1, -133225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 624099.4 centuries?\nAnswer: 748919280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4) - (-16)\/2. Let a be (-1)\/(-3)*(w - -2). Find the second derivative of 8*y**3 + 18*y**a - 15*y - 18*y**3 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-15)\/(5250\/3130).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 35*u**2 + 6*u - 1. Let l(x) = -3*x**2 - 3*x + 1. Let t(z) = -2*l(z) - w(z). Let k(r) = 10*r**2 - 5*r**2 - 4*r**2. Calculate t(k(b)).\nAnswer: -29*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -432 or -433?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-15)*s)\/s*s**(-25))\/((s\/(s*s\/(s*s\/(s*(s\/(s\/(s*s**9*s)*s))\/s*s*s))))\/s**(13\/5)) assuming s is positive.\nAnswer: s**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6693045 and 1230.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 6. Let y be 2\/24 - (-4687)\/(-516). Give m(y).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 63*v**2 - 288*v + 588. What is the smallest common multiple of n(56) and 2748?\nAnswer: 19236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -531 - 3?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 1. Let g be h(-2). Let j be -1*(-2 - -3)*-9. Let n be (-1)\/(-4) + j\/12. Sort n, 3, g in descending order.\nAnswer: g, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11647, -23293, -34939?\n\"Answer: -11646*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 12*g + 2. Let q be s(0). Is (645\/45)\/(q\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-245353)\/(-2920) + -77 - (-3)\/8\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1431 - 20)\/(2 + 189\/(-93)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*o + 42 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 30*g + 88. Let w be x(-24). Let z = w + 279\/5. Which is the second smallest value? (a) 2\/13 (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3384435*i**5 - 72832*i**2 - 7*i wrt i?\nAnswer: -203066100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 12*f**2 + 5*f - 1. Let k be d(-5). What are the prime factors of ((-16)\/(-3))\/(k\/3492)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 9*o + o = 3*n + 133, 0 = 4*o + 5493*n - 5489*n + 60 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + y + 0*y + 0*y.\nAnswer: y + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*b, 0 = 4*b - 2*b + 3*s - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 921\/523837 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4 - 66\/312)\/(405\/(-3510))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/47)*g)\/(g*(g**(-2\/77)\/g*g*g*g*g)\/g) assuming g is positive.\nAnswer: g**(-7298\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2612 - -1?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -17. Let r = 1.02 - 1. Which is the nearest to r? (a) -0.5 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - l. Let h(c) = 5384*c**3 - 164*c + 4*c**2 - 2827*c**3 - 2693*c**3. Let d(b) = h(b) - 2*n(b). Find the second derivative of d(v) wrt v.\nAnswer: -816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:58 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 s when four letters picked without replacement from sssssgsssssssss?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1578 and -39174.\nAnswer: -37596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 6. Let q be a(-5). Let u be ((-5)\/20)\/(1\/q). Calculate the greatest common factor of 5 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -650*a**5*r + 19*a**3*r**3 - 1729*a**2 + a + 6*r**3 wrt a.\nAnswer: -39000*a**2*r + 114*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19904287 to the nearest integer?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*k = -128*k + 6578. Calculate the remainder when k is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6) - 0)\/((-157)\/(-1664514)*114).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12*m = 3429. Let s = m - 230. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -53*l**2 + 757*l - 199. Determine i(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4962384 divided by 2?\nAnswer: -2481192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46936359523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86653395*z**4 - 34879481*z wrt z.\nAnswer: -1039840740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:58 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 7*x**3 + 3*x - 5*x**3. Let s(l) = -2*l**3 + 7*l. Give 3*s(w) - 7*u(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.6 (b) -113 (c) 0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 20*d - 180. Calculate the greatest common factor of d and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 36*x**4 - 102*x**3 - 72*x**2 + 321*x + 252 = 0. Calculate x.\nAnswer: -1, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2403 = -2*f + 157. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1020562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 10*h + 4*h)*(2*h**3 - h**3 + 0*h**3) - 2*h**4 + 16*h**2 - 18*h**2 + 10*h**2.\nAnswer: -3*h**4 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 15*a + 97. Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 54421?\nAnswer: -5441b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18613.\nAnswer: 7, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -15 = -3*i - 0*h - 4*h, 0 = -p*i - 3*h + 12. Solve 5*w + i = -9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40132 = 2*k + 4*o - 2*o, 5*k + o = 100334. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 - 2*j + 9. Suppose 2*o - 24 = -2*o. Is x(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 - (-6)\/(-1) - (-147)\/3 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. What is the least common multiple of 24 + -1*(2 + 0) and 4\/10 + 98\/y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33653 - 4?\nAnswer: 33646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyldnnneklk. Give prob of sequence yne.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 0*l - 5*l + 2*l + l. Let u(h) = 3*h**2. Calculate u(q(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-104 - -100)*(1\/10)\/((-10)\/(-25)). Let h = -0.3 + 0.28. Which is the nearest to s? (a) 1\/4 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490186 is divided by 122544.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 63*t + 86. Let c(g) = 13*g**2 + 190*g + 259. Let h(q) = 6*c(q) - 19*s(q). What is the first derivative of h(o) wrt o?\nAnswer: 4*o - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 4479488685?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100 (base 4) to base 11.\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**5 - l**2 + 0 + 2*l**5 + 0 wrt l.\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 997435 divided by 5\nAnswer: 199487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*v = -0*v + 9, -9 = 3*v. Let g(b) = 0*b + 10 + 2*b**2 + 3*b + q*b - 8. Let y be 20\/(-9) + (-2)\/(-9). What is g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -21. Which is the biggest value? (a) -2\/7 (b) -1\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 73*r - 70*r. Let f(w) = 2*w**2 - 6*w**2 + 1 + 5*w**2 - 7*w**3 - 3*w**2. Calculate f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2056*r**2 + 6167*r - 3. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3770 by 5.\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4631903.\nAnswer: 4631903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - -0.293896.\nAnswer: 0.053896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 8) in base 11?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = m - 5, 0*w + 3*w + 4*m - 20 = 0. What is the second derivative of 2*r + 2*r**2 - 3*r + w*r - 5*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 3*y**2 + 4*y - 5. Let n be 9\/6 + 4\/8. Let m = 5 - n. Let f be b(m). Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-74944)\/(-32) + 2 + -9. What is the highest common factor of b and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115480 or 115469?\nAnswer: 115480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17375.010633 + 17375. What is k rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -195. Let m be ((-8)\/5)\/(l\/30 + 3). Solve -5*b = -b - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.34, -0.5, -9, 5796?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -33092*i - 191. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6)*((-465)\/434)\/((-250)\/175))\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 64*h. Let c(y) be the first derivative of y**3\/3 - 174. What is i(c(o))?\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15598949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-138*j**2 - 26595 + 26595)*(-7 + 2 + 1) - 8*j**2 + 1 + 7*j**2 - j**2 to the form i*j**2 + a + v*j and give i.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-192))\/((-132)\/(-176))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171206 in -5, 10, -1\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 15*q**2\/2 - 6*q + 14.\nAnswer: -(q - 1)*(q + 2)*(q + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1715.379 and 31.\nAnswer: 1746.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394776 and 14.\nAnswer: 16763432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 5*c**8\/168 + c**4\/6 - 6*c**2. What is the second derivative of d(o) wrt o?\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*h - 172*h + 39*h**2 + 33*h**2 - 71*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - 86*n + 166. Let i be y(2). Solve i = 5*h - 5*p + 45, -8 = 5*h + 2*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let g(y) = 5*y**2 + 0*y**2 + 0 + 0. Determine g(q(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 7*j + 4. Let b be i(4). Let w(t) = -t - 16. Let f be w(b). Let a = f + 32. Solve -3*y + 9 = -2*n, n + a - 1 = 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -53. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -9325, 1 in ascending order.\nAnswer: -9325, -15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10600339.51 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 30. Differentiate 77 - 4*v**3 + 12*v**p - 79 with respect to v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r = i + 192*r - 116*r - 19, 0 = 4*i - 5*r + 115 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-3))\/(9\/(-2)))\/(404\/(-2424)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -572\/439 or -2?\nAnswer: -572\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35384*i*t - 26375*i wrt t?\nAnswer: -35384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + (-3 - -3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/2)\/(2\/8). Let d = k - 31. Let j = -16 - d. What is the third biggest value in 0, j, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8*6\/(-30))\/(55\/(-44)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197539 - 12363.27?\nAnswer: -209902.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135781\/17 + 1210\/(-170) + 7. Suppose -5*r = -23778 - g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3225*o**2 - 16*o - 9?\nAnswer: 6450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 + 12*d - 2. Let l(y) = y**2. Let h(z) = g(z) + l(z). What is the remainder when h(5) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllgiglgggigolllggzg. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.091547 and -1.\nAnswer: -0.908453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = -o, 2*o - o + 5 = p. Let z = 10 + p. Calculate the remainder when 18 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvkk when four letters picked without replacement from qvqvkvkq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-13 - 6) + 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - c**2 - c + 8. Let f(t) = 3*t**3 + 2*t - 7. Let o be -2*1 + 5*(-12)\/30. Let x(l) = o*n(l) - 5*f(l). Calculate x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34429, -68652, -102875, -137098, -171321?\nAnswer: -205544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:23 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 24 = -5*d - 64 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60154014*t**3 - 62711094 with respect to t.\nAnswer: 180462042*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085926?\nAnswer: 2, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = t - 7, 26 + 9 = 5*t - 4*x. Suppose s = -3*s + 12. Let b be (-1504)\/(-24) - (-1)\/s. What is the highest common divisor of b and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.8 - 14. Which is the smallest value? (a) -2\/15 (b) 0.07 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waawwwawawaaaaaaawa. What is prob of picking 1 w and 3 a?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(1*(0 + -1)). Let q = l + 56. Is q greater than -26\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 (base 11) in base 10?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/28 - -13\/14. Let l = -2389\/9 + 265. Sort l, -7, w.\nAnswer: -7, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0732 or 4\/11?\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(200)*-1)\/sqrt(10))\/(sqrt(360)*-4*6).\nAnswer: -5*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**3 + v**3 + 2*v**3)*(2 - 7 - 8) - v**3 + 4 - 4 + (0*v**2 - 2*v**2 + v**2)*(v - v - 2*v) as l*v**3 + p + m*v + u*v**2 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 2, a: 1, j: 2, u: 1}. What is prob of picking 2 j, 1 g, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 19*t = 23*t + 16, 0 = -2*u + 3*t + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 669024, -2?\nAnswer: 669024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 191.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27709272 by -2.\nAnswer: -13854636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/26 + 1023\/(-143). Put y, 4, 37 in ascending order.\nAnswer: y, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*(48\/396)\/((-42)\/231).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*l = q - 7, -3*l = -3. Let k be ((-45)\/(-20) + q)*8. Suppose 2*f = -5*p + f + 39, 0 = 3*p + 5*f - 41. Solve p*o - k = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*h - 6, 2*h - 16 = 4*t - 6*t. Solve -t = -c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917*1.5.\nAnswer: -1375.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o - 140*o + 84*o = 87. Let p = 15 + -9. Solve 0 = n + o - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {j: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/28104 and -43\/32.\nAnswer: 112416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61861232 or 61861230?\nAnswer: 61861232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i + 6. Let g(u) = -i*u - 3*u + 3*u. Let d(f) = 147 - 147 + f. Give g(d(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1979\/1132 - -1\/566. Is q >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/3 (c) 1\/8 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 358484 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1287 + 1287.000001259. What is a rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 11*x + 22. Let c be b(7). What is c rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-325))\/((6\/(-70))\/(24\/(-56))).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 133 + 2 - -2) + 1. Let f = j - 89. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*z. Suppose z*y - 33 - 27 = -5*b, -3*b + 4*y = -36. Let m = -47 - -81. What is the remainder when m is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 3248 = -3262. Let y be 84\/3 + c + (2 - -1). Solve 2*w + y = -5*z, -3*w + 0*z - 22 = 2*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/42)*r*r*(r**(-15\/4)\/r)\/r*r assuming r is positive.\nAnswer: r**(-229\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48248486 rounded to the nearest one hundred thousand?\nAnswer: 48200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135828?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from aaspppasapapp?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-9\/4)\/(b**4\/(b\/(b\/(b\/b**(-1)*b)*b))) assuming b is positive.\nAnswer: b**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. What is the smallest value in -1, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110455324 (base 6) in base 10?\nAnswer: -1998340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1495859858 and 0.05.\nAnswer: -1495859857.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*p = -p + 8, 8 = -4*o + 4*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3175 + 3175.0469. What is c rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 3*g**3 + 2*g**3)*(-4*g**2 + g**2 + 0*g**2) - 5*g**3 + 2*g**5 - 2*g**3 + 3*g**3 - 3*g.\nAnswer: -g**5 - 4*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1584 and 1591524?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r**2 - 17*r + 16. Let w be i(5). Let s = -379 - w. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870000 = 33*f - 35*f. What is f rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 2787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Suppose -6*j + 4*j = -j. Let u = 25 + -28. Which is the closest to -1? (a) s (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8461*h**5 + 2*h**2 - 2*h + 573 wrt h.\nAnswer: -507660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*m - 14 = -5*g, -m - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 + 0.01. Let w = 4.88 - 1.88. Let p(j) = -j**2 + 3*j + 2. Let v be p(4). Which is the third smallest value? (a) w (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 21*p + 24031 = 60283. 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 prob of sequence ssss when four letters picked without replacement from {s: 7, r: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(800) + sqrt(50))\/(sqrt(60)\/sqrt(6)*4))**2.\nAnswer: 245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*h + 1191 = -2*v, -3*v = h - 1188. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -10*i + 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -17, 4 in increasing order.\nAnswer: -94, -17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a*a*a**(27\/4))\/(a**(3\/2)\/((a*a*a**33)\/a)) assuming a is positive.\nAnswer: a**(173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/36)\/((-196)\/588)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 13*o**3\/8 + 183*o**2\/4 + 1031*o\/8 + 75\/4 = 0.\nAnswer: -25, -3, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4*(-4)\/(-32))\/((-5)\/250). Calculate the highest common factor of t and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -6 - (-2)\/((-42)\/(-27)). Let i(d) = -d**3 + d**2 - d + 2. Let j be i(0). Suppose 0 = z - j*z - 1. Is h < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c + 4*g + 32, g = -3. Calculate the remainder when 9 is divided by 3\/1*(0 + c\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838172305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.224 * 1.19\nAnswer: 2.64656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 12*f - t - 472, 0 = -3*f - 3*t + 294. Calculate the highest common factor of f and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5029 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 10 + (6 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*h - 37*h. What is the closest to h in -0.5, -1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(2 + 33) + 1920\/280?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.5, -0.2, -5, -647?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2299, -3767, -5233, -6697, -8159, -9619, -11077?\nAnswer: -12533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ttgtgjgg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o + 80 = 0. Let d be (5\/(-10))\/(2\/o). Solve 0 = -2*a + 6*a + d*x + 36, 4*x = 3*a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2 + 13 + 143*y**2 + 33*y**2 as o + h*y + a*y**2 and give a.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:10 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.86762084 rounded to 4 dps?\nAnswer: -1.8676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*w - 338*w = 0. Which is the nearest to -2\/3? (a) w (b) 1\/2 (c) 10\/9 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -29, -79?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1032 - -26835\/26. Let v = t + -8\/13. Let n be ((-3)\/(-4))\/(-1) + 18\/56. Is v equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + p - 54. Calculate z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 352, 3853, 10502, 20299, 33244, 49337?\n\"Answer: 1574*j**2 - 1221*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13194178.\nAnswer: 2, 61, 83, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 968388?\nAnswer: 101680740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1\/18*2). Let j be -7 + 7 + (-1)\/g. Are 0 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1379 and 1336648152?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27756 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 674 = 4*r + 2*f, f = 5*r - 1145. Suppose -5*j = 183 - r. Calculate the lowest common multiple of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1180 + -500. Suppose -r = 2*x - 6*x. What is the greatest common divisor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(65) + 6*(sqrt(65) + sqrt(65)*-1) + sqrt(65)))\/(4*1*sqrt(80)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 173609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5068 + -3287. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + (0 - 1) + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let f(x) = -b*x**2 + 0*x**2 + 0*x**2. Let w(u) = 2*u. Determine w(f(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 45*a**6\/2 + 246*a**5 + 535*a**4 + 330*a**3 - 195*a**2\/2 - 140*a + 2667. Suppose w(f) = 0. Calculate f.\nAnswer: -7, -1, -4\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)*n**20*n*(n**(-11)*n)**21 assuming n is positive.\nAnswer: n**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*t - 8, -3*k + 26 = k - 5*t. Solve 0 = k*z + 2 + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6243709?\nAnswer: 17, 367277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*q + 171*q = -19449126. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + (1 + sqrt(12))**2).\nAnswer: 5*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*c**2 - 4*c**3 + 117*c**2 - 260*c**2.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/(-1590))\/(1\/(-35))*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**6\/40 - 3*w**5\/20 + 3*w**4\/8 - w**3\/2 + 3*w**2\/2 - 4. Let u(a) be the second derivative of c(a). Factor u(h).\nAnswer: 3*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(5\/75) + 8. Let n = 1 + -10. Let w = n + 24. Solve -3*l - w = 5*p, -l + m*p + 9 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)\/(w*w**6)*w*w*w**(-1\/2)*w**(1\/12))\/((w**(1\/11)\/(w**(-5\/2)\/w))\/(w**7\/w*w**3)) assuming w is positive.\nAnswer: w**(-281\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 5*c + 5 = 3*i, 0 = 5*i + 5*c + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*o*s - 17420*h*o*y + 20*h*s*y + 4111*h*s + 962*h*y - 8*o - 37*s wrt s?\nAnswer: 2*h*o + 20*h*y + 4111*h - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/2900430 and 31\/6660.\nAnswer: 5800860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 4, -18, -56, -110?\n\"Answer: -8*o**2 + 18*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1480b - -1252?\nAnswer: -13579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 1879. What are the prime factors of z(-107)?\nAnswer: 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 - 7*j**2 - 4*j - 2 - 11*j**2 + 24*j**2 to d + z*j + a*j**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 219 = -28*z + 645. Solve 4*u + z = -4*i, 2*u - 3*i = -4*i - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 15*h + 33*h**3 + 15*h**2 - 7*h**3.\nAnswer: 26*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*-1*sqrt(110))\/sqrt(10).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(8) + -1*sqrt(12) - -6*(sqrt(192) + 0)**2*2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = -p + 162, -m = 2*p - 333. Suppose 4*x = 4*o + o + p, 5*x - 210 = 2*o. Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1689 and 291.99 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 16531*l - 42611 + 42611 + (2*l - l + l)*(0 - 2 + 0) + l - 4 + 4 in the form y*l + z and give y.\nAnswer: 16528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 3818 = -3634. Suppose 0 = -2*u - 74 + 454. What is the lowest common multiple of n and u?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342091258.\nAnswer: 2, 89, 97, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 54*c - 561 + 22*c.\nAnswer: -32*c - 672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/6 - 2*u. Let o(c) be the first derivative of -c**3 - 3. Calculate o(h(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i = -5*i + 193806. What are the prime factors of i?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:28 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -61*l**3 + 5*l**2 - 27*l + 5. Let i(o) = 30*o**3 - 3*o**2 + 13*o - 3. Let k(z) = -5*i(z) - 3*q(z). Find the second derivative of k(h) wrt h.\nAnswer: 198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 49 - 170\/15) + (-3)\/5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, g: 6, n: 1, u: 3, y: 1}. Give prob of picking 1 y and 2 p.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 273?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let x = -14 + y. Let a = x + 8.85. What is a rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/13, -0.3, 67, 651?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 20. Suppose -18 = -l*c + 30. Calculate the highest common divisor of c and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - r + 3)*(r - r - r**2)*(11*r + 4*r - 4*r) + r**4 + 2*r**4 - 2*r**4 to j*r**2 + g*r**4 + m*r**3 + x + f*r and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/6)\/(19\/(342\/12)). Factor -3*u**2 + 22*u**3 + 5*u**3 + 7*u**2 + m*u**5 + 23*u**4 + 5*u**2.\nAnswer: u**2*(u + 1)*(u + 3)*(5*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 + 1.2. Let p = -13.2 - w. Round p to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let g(z) be the third derivative of z**6\/240 - z**4\/12 - z**2. Let s(r) be the second derivative of g(r). What is x(s(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 3:47 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(1 - -3)*1. Let q(z) = z**3 + 9*z**2 + 7*z. Let k be q(-8). Let f(s) = 2 + k*s + 3 + s + s**2 - 2*s. Determine f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c + 4*c, -3*j - 2*c = 37. Let a be j\/3*3\/(-5). Suppose -g = -4*v - 25, -a*g + v + 16 = -26. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 23*a**2 - 78*a - 35. Determine y(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:58 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13c - -10?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/28 + (-12)\/(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -55*3\/9. Let z = k + 19. Let r = 6 - 2. Sort 0.3, z, r in increasing order.\nAnswer: z, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 3*u**2 + u + 1. Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265870373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 2*d**2 + 0*d**2 + 2*d**3.\nAnswer: 4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 513.4823 litres?\nAnswer: 513482.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1724 in -1, -98, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2907 - -1858. Let o = -241 - u. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(0*h - h**3 + 0*h) - 2*h**3 + 5*h**3 - 2*h**3 - 2*h**3 + 1 - h**3 + 2*h**3.\nAnswer: -4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85.83371 millilitres?\nAnswer: 0.08583371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(198)\/(sqrt(72)\/sqrt(8))*-4)\/((sqrt(330)\/(-1*sqrt(10)))\/sqrt(3)*-1).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277515 divided by 63.\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 31 = 2*f + 16, 0 = 4*f + 2*x + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 254, 381, 506?\n\"Answer: -u**2 + 132*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 807486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835.7485 litres to millilitres.\nAnswer: 835748.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8951 - -179107\/20. What is the common denominator of (150\/(-16) - -2) + 3 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/4, -35, 594?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 268688 and 806064.\nAnswer: 806064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w + 2. Let g be 105\/(-14)*(-62)\/w. Suppose -5*h - 60 + g = 0. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/396 and 3\/1408.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 4*y - 109 = 0, -4*a + 456 = 4*y. List the prime factors of a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 2*y - 5*y + (-2*y + y + 0*y)*(1 - 3 + 3) + 0*y - 3*y + y + 2*y - 3*y - y + (0 + 1 - 3)*(2*y + 3*y - 4*y) - 3*y + 21*y + 6*y as l + h*y and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 8. Let i be 74 + (-2)\/6*-15. Let w be i\/(-11) - 7\/(77\/(-2)). Give p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -2)))*5*5*6 + 1 + 3 + -3)*-2)**2.\nAnswer: 3973200*sqrt(19) + 207272404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l + 1. Let k be m(6). Let j be (126\/6)\/(k\/2 + -2). Calculate the highest common factor of j and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275330800 divided by -217825\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*g + 47, 2*g = -3*b - g + 141. Let p = -16 + b. Suppose -4*z - 222 = -2*j, 0 = 5*z + 2 - 27. What is the remainder when j is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-1\/3)\/d)\/d*d))**39)**(10\/11) assuming d is positive.\nAnswer: d**(910\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*g + 17. Let n(r) = r**3 + 9*r**2 - 9*r + 4. Let i(s) = 5*s**3 + 37*s**2 - 37*s + 16. Let f(l) = -2*i(l) + 9*n(l). Determine f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - 7*w + 1. Let n(o) = -o**2 - o. Let x(s) = 6*n(s) - r(s). Let q(y) = -y**2 + 2*y - 4. Calculate -q(c) + 4*x(c).\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 12.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 21, -2, -45, -114, -215?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j**2 + 2691*j + 1181. Give z(150).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 89) + 33 + 15 + (3 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666814 to the power of 1\/2, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 69 = 3*g, 7*g - 3*g = -z - 92. Let f = -68\/3 - g. Factor -1\/3*w**3 - 1\/6 + 1\/6*w**4 + f*w + 0*w**2.\nAnswer: (w - 1)**3*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2196.6 and -13.\nAnswer: -28555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29699.02ml to litres.\nAnswer: 29.69902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*2.802217\nAnswer: -14.011085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/3))**(-3\/4)\/(c**(-7))**22 assuming c is positive.\nAnswer: c**(307\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.5 - 26. Let f = -0.4 + 0.1. Let k = 0.1 + f. Sort k, m, -1 in increasing order.\nAnswer: -1, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*g + 75. Let y(c) be the second derivative of 6*c + 0 + g*c**2 + 2\/3*c**3. Let b(h) = -4*h**2. Give b(y(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -49451.\nAnswer: -49451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/2 - ((-1)\/2 - 0). Suppose 4*l - 5*j = 63, 5*l = l - 5*j + 33. What is the highest common factor of l and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -9) + (-17 - 0) - -8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-232)\/(-40) - 1\/(-5). Suppose r = -w - w. Let j = 2\/41 + 35\/123. Which is the biggest value? (a) j (b) w (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1752 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjohojhff. What is prob of sequence jjf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 1 d when three letters picked without replacement from {i: 3, q: 3, d: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*l - 24, 35*k - 13 = 2*l + 34*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994554.\nAnswer: 2, 3, 11, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 4*m - 12. Let v be ((-6788)\/(-1896))\/(1\/m). Let a = v + -3\/316. Calculate the common denominator of a and -137\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 7*j - 3*j)*(10 + 0 - 2*j - 3)*(3 - 3 - j).\nAnswer: 12*j**3 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 3*s**2 + 7*s + 6. Let p(d) = -2*d. Let a be p(3). Let t be m(a). What is the units digit of t\/35 + (-4)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 116, 0.7, 2, 0, 7 in descending order.\nAnswer: 116, 7, 2, 0.7, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101297 divided by 1?\nAnswer: 101297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 864 + 246. Suppose 8 = p*y - 183*y. Solve y*g = 0, 0*g + 4*g = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1\/((-1)\/(-5)). What is the third derivative of v**3 - v**3 + 3*v**3 + 2*v**m - 3*v**2 wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7160 divided by 1432\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/(-15) + 4)\/(3\/9). Let t(c) = -8*c - 2. What is the tens digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4720 and 457840.\nAnswer: 457840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 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 u = -87 - -87.14675. Let s = -2487.15 - -2487. Let d = s + u. Round d to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 23. Let q be g(4). Let v(l) be the first derivative of l**3\/3 + 2*l**2 + 5*l - 3. Determine v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.2 + 39.42. What is y rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {r: 2, f: 2, w: 4, s: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 660 = -2739. Solve -26*r - a = 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34829 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -93\/2, 0.052, -44, 0.01, 3?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 5*j**2 - 75*j - 207. Let o be t(-3). Is 22\/163 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-4) + 4)\/(-2). Which is smaller: -16\/17 or j?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -65, -102, -157, -236, -345, -490?\n\"Answer: -x**3 - 18*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282 - 282 - 14*x to the form c*x + o and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 105485 (base 13) to base 15\nAnswer: 78778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30477 and -2.\nAnswer: 30475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8*v + 6)*(-5 + 5 - 2)*(3 - 2 + 1).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143484 = -3*b + 3*i, -3*b - 3*i + 97950 + 45504 = 0. Suppose -b = y + 5*k - 132813, 169998 = 2*y + k. What is y rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 748 + -747.9. Let v = -32.5 - -17.3. Let u = -0.2 - v. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 21*w - 6. Let u be d(21). Let x = 17 + u. Suppose x*g - 10*g = 28. Solve -5*s - 2*f = -g, -5*s + 4*f + 2 = -2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3588*i**2 + 207. Let o(g) = 69*g**2 + 4. What is -4*a(c) + 207*o(c)?\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-210) + (-56)\/(-70)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-9) + (-8)\/28*-7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -39\/2. Let a = -22.7 + 24.7. Are a and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxqxxqxqqqqxqqqqqxx. What is prob of picking 2 q and 1 x?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-174530)\/8445 - 2\/(-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Let m be (-48)\/(-168) - (1 - 346\/14). Suppose -z - 3*v = -14, 4*v - 13 - 1 = z. Solve -u + z*s - k = -13, 5*s + m = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 110*t**2 + 335*t - 296. What is m(-113)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*z - 5*z**2 + 96859 - 7*z**2 - 96886.\nAnswer: -3*(z - 1)*(4*z - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 7. Let q(u) = u + 1. Let p(c) = n(c) + q(c). Let t(w) = -2*w - 5. Let g be (2 + 2 - 2) + 0. Let a be (1 - -1) + -1 + g. Give a*p(i) - 4*t(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025207 to the power of 1\/2, to the nearest integer?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279 - -297. Suppose 0 = -j*i + 17*i + 3. Calculate the remainder when 7 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 695, 1407, 2119, 2831, 3543?\n\"Answer: 712*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -8 (c) 0 (d) -524 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 563 - -4186. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(2\/5))\/c**13*c\/(c\/(c**11*c))*c\/c**11 assuming c is positive.\nAnswer: c**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*u + 6 + 8, -4*v - 4 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84, -337, -762, -1359, -2128, -3069?\n\"Answer: -86*c**2 + 5*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 23*h**2 + h. Let r = 334 + -333. What is g(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 + -24)\/((-2)\/(-2)*-2). Find the third derivative of 3*l**5 + 3*l**4 - y - 22*l**4 + 5*l**4 - 3*l**2 wrt l.\nAnswer: 180*l**2 - 336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 111150*g.\nAnswer: 5*g*(g + 22230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 58*l**2 - 242*l + 391. What is z(-62)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 227*f**2 + 345*f + 936. Calculate m(-112).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppsnns. What is prob of sequence pss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -221 (b) -62 (c) 23 (d) -1 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 73245a61?\nAnswer: -73245a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2134*u - 4450*u - 3896*u.\nAnswer: -6212*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5789 = 15*u - 16366. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 19*b - 24. List the prime factors of u(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6035226 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -33*j**2 - 18*j. Let d(g) = 3*g**2 + 2*g**2 - 4*g**2 + 0*g**2. Let b(z) = 6*d(z) - q(z). Find the second derivative of b(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*u + 53 + 36*u**4 + 18*u - 46*u wrt u?\nAnswer: 144*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:26 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 17*v**2 - 15*v + 19. Let b(x) = 11*x**3 + 52*x**2 - 44*x + 57. Let a(h) = 2*b(h) - 7*f(h). Give a(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u\/(u**(-5)\/u)*u**(-2\/39))\/((u\/(u**4\/u)*u*u**(3\/2))\/u**(-44)) assuming u is positive.\nAnswer: u**(-2617\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00487601 to five decimal places.\nAnswer: 0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -17*h + 37*h - 91*h + 410*h + 650*h. Let s(d) = 2*d. Calculate s(f(c)).\nAnswer: 1978*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 5*z + 3. Let s be u(3). Let y be (-14)\/(-6)*450\/s. Let q(n) = 175 - y - 4*n**2. Let a(c) = -5*c. Determine q(a(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 218996 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-1)\/5*-2). Let j(a) = 12*a**2 + 31*a - 28. Let q(x) = -4*x**2 - 10*x + 9. Let m(u) = -2*j(u) - 7*q(u). Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111011101 + -1?\nAnswer: -11001111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*f**3 + 2933*f**3 - 960*f**3 - 460*f**3.\nAnswer: 528*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1550.243 + -1552. Let y = 0.033 - u. What is y rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/7*q**4 + 141\/7*q**2 + 54\/7*q + 120\/7*q**3 + 0.\nAnswer: 3*q*(q + 1)**2*(11*q + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(-10)\/(f\/(f\/(f\/((f*f**(-2)\/f)\/f))))**(-15) assuming f is positive.\nAnswer: f**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18416320*0.2.\nAnswer: 3683264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6248 is divided by 157.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.858726 microseconds in days?\nAnswer: 0.000000001676605625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -21*j + j. What is the hundreds digit of (-6339)\/j - (-36)\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872571251.\nAnswer: 872571251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.039271 rounded to two decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from fffcfcc?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 72*r - 74. Let h be p(40). Round h to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*u**3 + 128*u**3 + 186*u**3)*(2 + 2 - 6) - 2*u**3 - u**3 + 4*u**3 as v*u + d*u**2 + c*u**3 + g and give c.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 7*j**3\/3 + j**2 + j + 1. Calculate f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llaacaljlacalca. What is prob of sequence lccl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100012110 (base 3) to base 8\nAnswer: -15064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 31. Let o(b) = b**2 + 9*b - 23. Let f be o(m). Calculate the greatest common factor of f and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -12) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1378210751 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1631 - -1.0861. Round a to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 - (-21)\/9. Let p = -1.1 + 0.1. Let r = 0.5 + p. What is the nearest to 0.1 in r, -2, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41977 times 3.047\nAnswer: -1.27903919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 672*k + 34. Let c be o(8). Is 10\/(-85) + c\/34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 26.29596ml?\nAnswer: 0.02629596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, 301, 1193, 2947, 5851, 10193, 16261?\n\"Answer: 48*q**3 - q**2 - 15*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8 - 6 + 11399*q**2.\nAnswer: 11399*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 1, 11, 27, 49?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 98. Suppose 6*p + 148 = 4*c + p, -a*c + 2*p = -72. Calculate the highest common factor of c and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -10 + -10 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69, 85, 107, 135?\n\"Answer: 3*z**2 + 7*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/40 - 65*i**4\/4 + 4225*i**3 - 549250*i**2 + 5459*i. Factor h(n).\nAnswer: (n - 130)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 156. Let p be 117\/l*(-8)\/6. Suppose w = p*w - 120. What is the remainder when w is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r - 106. Let p be w(-16). Let c(b) = -b**3 + 10*b**2 - 16*b - 3. Let n be c(p). Calculate the greatest common divisor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {v: 1, g: 6, e: 4}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.798 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 12*x + 35. Determine p(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:30 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17725, -17726, -17727, -17728?\nAnswer: -17729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l - 3*g + 5, -28 = -3*l - 2*g. Calculate the greatest common factor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.963947 minutes?\nAnswer: 297836820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68627*d**5 - 27151*d**2 wrt d.\nAnswer: 4117620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:45 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*q - 876 = 0, 0*q - 5*q - 357 = 2*b. Let m be 2\/(-8) + (-12)\/b. Is -2 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 0.5, 0.3, -45, -4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 64, 75, 100, 145?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 154 + 24 - (2 + 25)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:17 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - 244122213?\nAnswer: -244122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1030*d**3 - 11*d**2 + 431*d + 11. Let j(f) = 206*f**3 + 2*f**2 - 86*f - 2. Let v(w) = 22*j(w) + 4*u(w). What is the second derivative of v(b) wrt b?\nAnswer: 2472*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48741 greater than or equal to -48802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 13*w**5\/5 - 3*w**2\/2 + 634*w - 520. Find the first derivative of o(f) wrt f.\nAnswer: 52*f**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 5*j**2 - 8. Let b be m(-4). Let w = -5 - b. What is the remainder when (-2)\/9 - (-6461)\/117 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -27.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - f + 25 = -5*m, -f + 30 = -5*m. What is the closest to 0.2 in 0, m, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 7*o - 16. List the prime factors of k(-7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h**2 - 4*h + 113. Calculate the remainder when w(10) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342)\/2888)\/(204\/(-3230))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707, 2971, 6685, 11747, 18055?\nAnswer: 25507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 541.28745 minutes?\nAnswer: 0.3758940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 38*i**2 - 158*i - 6. What is k(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1381150111 to the nearest integer?\nAnswer: 37164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.89 times 1?\nAnswer: -126.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*f - 55*f = -38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2*s. Let g(x) = -1 + 2*x**3 - x**3 + 3 - 6*x + 5*x**2. Let z be g(-6). Let f be o(z). Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**3 - 678*f**2 + 1329*f + 106. Give c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 > -1028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 - -239.1. Which is the fourth biggest value? (a) 2\/3 (b) -0.3 (c) j (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:32 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-12)\/(-270))\/((-14)\/(-10)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16040909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/143 and 41\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeexe. What is prob of picking 1 e and 1 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*l + 42, 2*d + 22 - 2 = -l. Let s = 33 + -7. Let c = s + l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -847 and -4.3.\nAnswer: 3642.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let r(k) = -1039*k. What is q(r(p))?\nAnswer: 1039*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/((-6)\/(-18)). Let p = 158 + -108. What are the prime factors of 1120\/p - z\/10?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((sqrt(44) + sqrt(11))*-2 - sqrt(11)))**2 + 2 + -4.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1741 + 243. Suppose -5*b - w = -3312, -v = -3*b - 0*b + w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14017*x**2 - 2*x + x + x.\nAnswer: -14017*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnwxxxwwwiwwnw. What is prob of picking 2 n and 2 w?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-24) + 12\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9980273.2 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79706441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 72. Let m be 1 + 1 - 156\/z. Let c = 129 + -126. What is the second biggest value in -4, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/80 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.4, -4, -2, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*p - z - 12, -2*z + 6 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 791*q*v**3 + 9713*q*v + 78890817*q wrt v?\nAnswer: 2373*q*v**2 + 9713*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24766 or -24764?\nAnswer: -24766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24880.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t, -17*w - t = -14*w - 11. Suppose -5*a = -2*a. Suppose y + 5 = b + 3*y, -2*b - y + 7 = a. Solve b = w*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/83 or 1\/4?\nAnswer: -22\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.4, 9, -3 in ascending order.\nAnswer: -3, -2\/3, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541*g**5*r*u - g**3*p*u - 3*g**2*r + 5*g*p*r*u - 9*g*p*r - 4*g*p - 3*g + p*u wrt g.\nAnswer: 10820*g**3*r*u - 6*g*p*u - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6005919 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 319680*c**3 + 198627849*c**2 - 132555048*c - 3732 = 0.\nAnswer: -622, -1\/35520, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 4*v - 3. Let d be a(-2). Let q = -4613 - -4616. What is the greatest common divisor of d and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + h**2 + 2*h + 1. Let x = 7 - 0. Suppose 0 = -3*b + 4 - x. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10 and -7\/8544.\nAnswer: 42720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1083\/7 - -3256\/21. Put -2, -1456, o, -2\/9 in ascending order.\nAnswer: -1456, -2, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.022993?\nAnswer: -0.0045986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82 + 128 + (-24 - -44)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 9*c + 8. List the prime factors of f(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, b: 4, i: 1, n: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let b(v) = v**3 + 5*v**2 + 4. Let m be b(-5). Let j(y) = m*y - y - 4*y. Give s(j(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -9. Suppose -f = -4*i, -i = o - 3*o + 22. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-298*h**2 - 527*h + 995*h - 515*h)*(-5*h + h + 3*h).\nAnswer: 298*h**3 + 47*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 17032170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) - (-3)\/(66\/2380). Suppose 0 = 27*i + 27 - u. Solve -4*b + 8*b + 35 = -3*o, i*b - 10 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -42?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 117.1452 centuries?\nAnswer: 140574.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y + 4*d + 11, -5*y = 4*d - 9. Suppose b = y*t + 40, b - 4*b + 100 = -5*t. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169961899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 581 = 481 - 173 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -322. Suppose -3*i + 3*w = -k, -w - 240 = -5*i - 4*w. Suppose -i = -3*y + 5*g, 6*y = y + 2*g + 66. Solve 0 = d + 2*d - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Suppose 0 = -d*r + r. Determine g so that r*g + 6\/7*g**3 + 0 + 2\/7*g**2 - 8\/7*g**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 651\/(-1116)*36\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 5*v. Let o(c) = -c**2 - 126*c - 243. Let m be o(-2). Let w(j) = -2*j. Suppose 2*y = 5*x - 4, 0 = 5*x - 4*y - y + 5. What is m*w(z) + x*a(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -615.7, 0.5, -2, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 44. What is the units digit of j(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26872306*l + 7888038 wrt l.\nAnswer: 26872306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, x: 6, p: 4}. Give prob of sequence vvpp.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3313271, 2, 4 in decreasing order.\nAnswer: 4, 2, -3313271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/8)\/(5\/5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/136100 and -13\/12.\nAnswer: 408300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c, c + 4 = y. Suppose 4*v = -3*d - 48, 2*d + y*v + 0 = -36. Is (-13)\/((-182)\/d)*-7 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28559 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000574 to five dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*r**2 - 28*r**2 + 61*r**2 + 64*r**3 + (-3*r**3 - 3*r**3 + 4*r**3)*(-1 + 2 - 2) - 2 + 2*r**3 + 2.\nAnswer: 68*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(((-20)\/4)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*h - 11, -2*h = 5*b - 7*h + 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from scpcnscsssscssusn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiwg when four letters picked without replacement from qigqggqgqqgiwiwqqqi.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281 + 1103\/4. Which is the third smallest value? (a) z (b) -1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0061636 centuries to millennia.\nAnswer: 0.00061636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 84.9. What is r rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -601, -1466, -2331, -3196, -4061, -4926?\n\"Answer: -865*b + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-928)\/(-24) + 4\/(-6). Calculate the greatest common factor of 190 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-21)\/(-6))*(-4)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195736, -195438, -195140?\n\"Answer: 298*d - 196034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3247*s**3 - 79*s?\nAnswer: -19482*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1 + 3 + w - 2. Let j be q(0). Suppose -j*v = 2*v. Solve 3 = -v*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = 3*x + 2*u, -2*u - 4 = 0. Suppose 0*h + 8 = 2*h. Suppose -4*n = -4*d + h, 2*n + 4*d + 4 = 26. Calculate the highest common divisor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgprpgprr. What is prob of picking 2 g, 1 p, and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/14 (b) 1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15744322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 39. Let z be (1 - 1)\/(27\/(-9)). Suppose 4*l - n*l = z. Solve -4*a = -2*k - 4, -a = 5*k - l - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13543 - -20346. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixtxxoxxoxtxxxt. What is prob of picking 1 o, 1 t, and 1 i?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/64*(0 - 146) and (-6)\/(-66)*23\/(-2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 - 4*b**2 + b + 24. Let x be j(-3). Suppose w - x = -g - 23, 2*w = 5*g + 431. Is 208 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 - 0 - -1. Let o(u) = -14*u - 3. Let s be o(-2). Suppose -4*l = -5*l - v*x - 4, s = -5*x. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -13*r**2 - 3*r**2 + 9*r + 9*r + 17 - r**3 + 2. Let l be h(-17). What is the second derivative of -385*c - l*c**2 - c**2 + 376*c wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -187. Let z = -127 - t. Let k = -184 + 1286\/7. Put z, 0.2, -6, k in increasing order.\nAnswer: -6, k, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14897733*0.3.\nAnswer: 4469319.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6858 - 6854. Let m = 0.36 + 0.04. Which is the fourth biggest value? (a) k (b) m (c) -2\/5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1175 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-1)\/(-14)). Suppose 5*s + f = -58. Does 14 divide 0 + 0 + 1 - s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1350)\/315 - 4\/(-14). Let d(i) = 10*i**3 + 7*i**2 + 3*i. Let j(f) = -5*f**3 - 4*f**2 - 2*f. Calculate w*d(m) - 7*j(m).\nAnswer: -5*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 3*w**2 + 3*w. Let r = 26 + -28. Give s(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let l(m) = -55*m**2. What is l(b) + 66*p(b)?\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 4*g + 50*g - 41*g + 13*g**3 - 2*g - 11*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 7. Let n(u) = -6*u - 6. Let i(r) = -6*n(r) - 5*q(r). Let w be (-8)\/28 + 564\/14. Suppose w = 5*t - l, -5*t + 2*l = -20 - 25. What is i(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.008273 micrometers to kilometers.\nAnswer: 0.000000001008273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n + 985032 - 972932 = 0 for n.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3387456703+9487\nAnswer: 3387466190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2)\/((-4)\/(-6)). Suppose -8 = 3*r + 52. Let k be (4 - 1)*r\/12. Put k, t, 0 in increasing order.\nAnswer: k, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*b - 25, 20 = -3*g + 8*b - 4*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 211076 - 1660076. What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 34. Suppose m = -5*i - 4*x + 22, 3*x = -2*i - 1 + 7. Let q(r) = -r**2 + 5*r + 2. Calculate q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -14*s - 137. Let g be t(-10). Suppose 2*o + 2 - 8 = 0. What is v in 2*v**2 - v**g + v**2 - v**2 + 7*v**o = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 79845 = 5*c - 16001, -2*p = -5*c - 47938. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - -1*(sqrt(200) + -1) - (sqrt(200) + sqrt(200) + 0 + 2)**2.\nAnswer: -805 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/70 - 8\/28. Let n(r) = -2*r + 11. Let a be n(8). Let i = 45\/4 + -11. What is the third biggest value in a, o, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -103. Let o = -19\/81 + 1\/81. Let v = 1 + -4. What is the third smallest value in w, v, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -210?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -109 + 121. Solve -z - 5*a = -25, -z + 2*z - 17 = -j*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2 - 109*n - 62. Let o be h(-13). Let v(s) = 6*s**3 + 2*s**2 - 2*s - 4. Let l(j) = 5*j**3 + 2*j**2 - 2*j - 3. What is o*v(a) - 4*l(a)?\nAnswer: -2*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0 + 0*s + 0*s**2 + 5\/3*s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -23. Let o = s - 7. Suppose o + 14 = j. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjwjjuw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, -6, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(-27)\/(-18). Suppose 2*s - 10 = -p. What is the remainder when 46 is divided by 27 - (2 - s - -5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - 3*r. Let x be z(6). Suppose 0 = 10*i - 12*i + x. Let s(a) = -a**3 + 2*a**2 + 9*a + 10. Let o be s(-2). Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/(2\/(-6)). Let y = -17 - -16.5. Let q = 24 - 28. Which is the closest to v? (a) y (b) -3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 160, 3535 in decreasing order.\nAnswer: 3535, 160, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Let j = -5199166.0000004 + 5199169. Let f = d - j. What is f rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and 0.3?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65628 = -5*m - 25243. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.019?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*q - 15, -5*q = -q - t - 25. Suppose q*s - 8 - 7 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6020 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -7*g**6\/120 - 7*g**4\/24 + 8*g**2. What is the second derivative of p(b) wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q = 64*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -155 - -5?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 10. Calculate w(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:37 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + 125\/(-20))\/(7\/(-8)*2). Let g = -6.8 + 5.8. Which is the nearest to -2? (a) 0 (b) 1 (c) o (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 3\/2, -14, -2\/9, 357?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, x: 3, t: 3, i: 3}. What is prob of picking 2 t and 1 i?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 11. Let k be 6\/(-20)*974 + (-34)\/(-170). Let a = 297 + k. Solve s + j = a*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2029174?\nAnswer: 2, 7, 144941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.5, -0.3, -39545\/114?\nAnswer: -39545\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 7*g**3 - g - 4*g**2 - 14*g**3 + 6*g**2 - 2. Let c be y(1). Suppose 3*u = -1 + 7. Sort u, -5, c in ascending order.\nAnswer: c, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oszoczozszo. What is prob of sequence zzo?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v - 4. Let l(n) = -n**2 - 15*n + 4. Let c be l(-15). What is the least common multiple of 4 and s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -6b876?\nAnswer: -6b877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145673 to the power of 1\/2, to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734694144 to the power of 1\/3, to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 3*d + 15548 = 0. Let w = d - -678. Factor 0 - 6\/13*n**3 + 6\/13*n**w - 2\/13*n + 2\/13*n**4.\nAnswer: 2*n*(n - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3118016\/(-309))\/(-88)*(9\/(-4))\/(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + 9 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 11 = -4*i, 13 = 4*i + 5*x. Let w be 3*5\/(-40)*i. Let z = 36 - 395\/11. Sort 5, z, w.\nAnswer: w, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 9507*b + 172098.\nAnswer: -3*(b - 18)*(b + 3187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 - -0.03. Let c be (-1)\/(-1) - (-19)\/(-17). Sort 0, c, p in decreasing order.\nAnswer: 0, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129961457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101199*c**2*v - 100182*c**2 with respect to v.\nAnswer: 101199*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.065\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18.74, -27\/2, -95 in ascending order.\nAnswer: -95, -18.74, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25222148027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1279, -1281, -1307, -1375, -1503, -1709, -2011?\nAnswer: -2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.65485 tonnes to kilograms.\nAnswer: 7654.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 - 42*q**2 + 21 - 21 - 10*q**3 + 0*q**4 + 32*q**3 = 0 for q.\nAnswer: -7, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(1210) + sqrt(1210) + 1*sqrt(1210)).\nAnswer: sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 201, 206, 209, 210, 209, 206, 201?\n\"Answer: -g**2 + 8*g + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.6 - 9.59866. What is w rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1413 - 1356. Let g = -71 + 112. Let u = r - g. Solve m - u = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpn when three letters picked without replacement from {c: 1, n: 4, r: 3, p: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -24, 31090 in increasing order.\nAnswer: -44, -24, 31090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from qqpqpqpqqqpqppppqpq?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2729 and 234?\nAnswer: 638586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 7)\/(1\/2). List the prime factors of (-79)\/3*(1 - (-16)\/l).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 28*c**2 - 58*c - 32. Let y be x(-26). Solve 0 = 7*q + y - 103 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u - 10 - 5 + 15 in the form f*u + h and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187314074?\nAnswer: 2, 29, 1153, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64728 divided by 696.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1560*v - 31 + 1560*v - 116 + v**2 to d*v + u*v**2 + j and give j.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/(i\/i**(-1\/6)*i))*i*i*i**(-8) assuming i is positive.\nAnswer: i**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 13. Let n be 1\/(-2)*l\/4*3. Suppose 3*u - 11 = -5*x, -u + n = 2*u + 3*x. Solve u*v = 3*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, 142, 777, 2176, 4633?\n\"Answer: 49*x**3 - 59*x**2 - x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041349094 rounded to seven dps?\nAnswer: -0.0004135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*s - 2 + 54, 284 = 6*f - 2*s. Let u be ((-4)\/12)\/(3\/(-459)). Suppose 0*o + 2*k = 4*o - 182, -u = -o - 5*k. Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 8 - 4*o + 3)*(1 + 1 - 4).\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - g - 5, 4*b + 5*g - 31 - 1 = 0. Let x(l) = -l**3 + 4*l**2 - l - 4. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 240*t + 325*t + 86*t + 858*t to the form a + w*t and give w.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*q - 12, 4*u + 3*q = 2*q + 15. Let c = 5 + -1. Suppose -3*m - 7 = 4*v - u*m, c*v + 5 = 3*m. Sort v, 4, -3 in descending order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.61 + -24.6. Let s = 1.11 - i. Which is the nearest to 1? (a) -0.5 (b) -3\/10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 10*t**2 - 3*t - 4. Calculate u(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254259456 by 3972804.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -25*d - 220. Let s(p) = -p**3 + 29*p**2 - 30*p + 47. Let c be s(28). Calculate k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0578 + -0.4388. Let x = 0.419 - n. Which is the second biggest value? (a) x (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -22*k - 1. Calculate c(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 35*m. Let v(z) = z**2 - 99*z + 12. Let f(k) = 3*l(k) + v(k). Give f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433180, -433176, -433162, -433132, -433080?\nAnswer: -433000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 16. Let p(g) = -8*g + 12. Let h be p(-7). Let v = h + -50. What is the remainder when v is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjaaaaaaa. Give prob of picking 2 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Suppose -r - 80 = -f*r. Calculate the highest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2697*c**3 - 32363*c**2\/3 - 32360*c\/3 + 4\/3.\nAnswer: -(c + 2)**2*(8091*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 - 6415*y**3 - 6405*y**3 + 12846*y**3. Let s(l) be the second derivative of 9*l**5\/20 + l**4\/6 - 2*l. Determine -3*i(t) + 8*s(t).\nAnswer: -6*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5636816 to the nearest integer?\nAnswer: 2374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1346033 and 1222?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(0 - 1 + 2)*(-3*s + 7*s - 3*s) to j*s + n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-546)\/(-49))\/(30\/70).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*f + 8*f. Let d be 712 + 1*f\/2. Suppose 0 = 2*j - 3*q - 213, -2*q + 209 = -5*j + d. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031858 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.864677m in centimeters?\nAnswer: 986.4677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 36 = 3*p, 2*p + 38 = -2*v + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 289131, 289528, 289925, 290322, 290719, 291116?\n\"Answer: 397*f + 288734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z + 2*z = -102, z = l - 20. Let b be l*(3 - (-24)\/(-9)). Let i be b\/(-28) - 309\/(-4). Round i to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-18))\/(46\/(-23))*5\/(90\/27)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1780)\/(-6))\/((-4)\/(-480)). What is h rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1025654 or 17436110\/17?\nAnswer: 1025654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 71. Suppose -2*r + 315 = -f, -3*r = -s*r + 4*f - 489. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0*h - 6*h + 3*h + 339*h**2 + 0*h to b*h + w*h**2 + k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277719*n**3 - 938*n**2 - 3*n - 12?\nAnswer: -1666314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 - (0 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 23*f**3 - 1931*f**2 - 90*f + 513. Determine r(84).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 13. Let f = 21 - u. Calculate the highest common factor of f and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 25*n + 6. Let h(u) = u**2 + 26*u - 8. Let y be (-1232)\/660 + (-4)\/30. Let p(f) = y*d(f) - 3*h(f). Factor p(t).\nAnswer: -(t + 6)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -1\/3 (c) 116.1 (d) -2\/19 (e) -4\/3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -196 and -5?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000 (base 2) to base 10.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.17, -4, -2, 1.1, 1 in decreasing order.\nAnswer: 1.1, 1, -0.17, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 7*g + 2863 - 2889, g - 2*b + 13 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 1, p: 2, q: 4, a: 2}. Give prob of picking 2 a and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/28)\/((-781)\/710).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w. Let j(z) = -z**3 - z**2 + z + 5. Let q be j(0). Suppose a + 15 = -2*a, 3*a = q*i. What is the units digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/43)\/k)*k)\/(k*k**12*k))\/(k\/(k*k\/(k\/(k\/((k*k\/k**(-2\/5)*k)\/k)))*k*k))**(3\/11) assuming k is positive.\nAnswer: k**(-25738\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*d + 74 = -1671*d + 2*a, -4*a + 12 = -3*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 335 and 96?\nAnswer: 32160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Suppose -2*l = 2*z - 4*z - 70, -5*l + 165 = -3*z. Let x be -1 + 1 + l\/2. Solve k = 2*o + w + 4*w + 17, -x = -5*o - w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -300 - -308. Solve -15*t + z = -19*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztdvd. Give prob of sequence vdt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*g = 4*t - 4, 2*g = -4*t - 2. Suppose -5*d + 82 + 68 = 0. Let j be (4\/d)\/((-3)\/5). Is j < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94719181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 21*f**3 + f**2 - f + 1. Calculate d(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267531.9700097 + -267532. Let z = 0.03 + s. Round z to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 41*w**2 + 9*w - 8. Let m(y) = -14*y**2 - 3*y + 3. Let q be 1788\/2235*(11 - 1). Determine q*m(j) + 3*f(j).\nAnswer: 11*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1113.6 - -1114. Which is the nearest to 0.2? (a) 3 (b) i (c) -111 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85120 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(4\/3)*o))\/o*o**(-2))**19 assuming o is positive.\nAnswer: o**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175339*p + 97 = -175336*p - 2*a, 9*p = 4*a + 191 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/33 and -10\/3741.\nAnswer: 41151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 5*t = 4*n + 12, -9 + 9 = -3*n for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/125 + 384\/(-4800)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (2 + (-16)\/6)\/(1\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 9*q**2 - 4*q + 1. Let y(r) = -12*r**3 - 2*r**2 + r**2 + 11*r**3 + 1. Let j(l) = -g(l) - 2*y(l). What is the tens digit of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3\/10, -7\/2, 4, -2\/149, 2 in ascending order.\nAnswer: -6, -7\/2, -2\/149, 3\/10, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -871361 take away 7.138?\nAnswer: -871368.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5235116 divided by -2\nAnswer: 2617558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13722902 to the power of 1\/2, to the nearest integer?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 30*d + 29. What are the prime factors of c(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554906.53 rounded to the nearest 1000?\nAnswer: 1555000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - w - 173 = -6*w, -2*l + 3*w = -147. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4516840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -7. Let h = f - -7. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1053030 or -1053029?\nAnswer: -1053030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68)\/sqrt(4) - sqrt(17))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27257\/6 + -4561. Find the common denominator of -39\/20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10888\/48*(-3 + 3 - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21183.\nAnswer: 3, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k**2 + k**2 + 0*k**2 + 3*k - 5. Let v be l(-5). Suppose 0 = -3*p - v*o + 52, -3*o = -p - 4*o + 18. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 368885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 10 - 4*a + 6 + a + 13 - 6.\nAnswer: -4*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*n - 21 = 0, -2*q + 2*n + 14 + 0 = 0. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*-83.48659\nAnswer: -4758.73563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-187))\/(45\/(-110)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14280522 divided by 460662?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.53 - -0.47. Which is the smallest value? (a) 2\/13 (b) q (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*c*q*r**3 - 6*c*q*r**2 + 76*c*q - q*r**4 + 2*q - 340*r**3 - 1 wrt r.\nAnswer: 240*c*q - 24*q*r - 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13695 = -3418*r + 3833*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1645, 1646, 1649, 1654, 1661, 1670?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -0.2295114 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*sqrt(26)\/sqrt(2).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/63)\/((-2)\/(-21)*-3). Which is the biggest value? (a) -5 (b) -2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14495 divided by -13\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = h - 15845, -31691 = -130*h + 128*h + 5*j. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35796 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -596 + -40247?\nAnswer: -40843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 2*f**4 - 4*f**2 + (-2*f**3 - 5*f**2 + 55 - 55)*(-4*f - 2*f + 4*f).\nAnswer: 2*f**4 + 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650901 - 10?\nAnswer: 4650891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719 = -513*p + 193*p - 241 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (8 - (0 + 3)). Suppose 5*k - 72 = 33. Suppose 36 = 4*w + 2*f + c*f, 5*f - k = -3*w. 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 g = 222 + -220. Let o(m) be the third derivative of 0*m + 1\/20*m**5 - m**g + 0*m**4 + 0 - 1\/3*m**3. Differentiate o(l) with respect to l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96987 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3754*c - 11268*c - 33 + 3754*c + 3734*c as b + s*c and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.976352 litres?\nAnswer: 8976.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 2*u - 3*u - u - u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 - u**3 + 6*u**3)*(0 - 2 + 5)*(13 - 24 + 12)*(7*u - 31 + 31).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/16, 4\/3, -3, -335, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*u + 12*u - 51. Let q = u + 20. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 31*a**2 + 40*a + 10. Let n be r(-30). Is n bigger than -288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f**2 - 46823*f + 516744. Determine b(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 27*v - 1. Let i(j) = 2*j**2 - 18*j - 1. Let a be 3\/4*(-10)\/15*10. Let k(g) = a*f(g) + 8*i(g). Calculate k(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31031304.999979 - -31031257. Let r = 0.01 + 47.99. Let t = r + h. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 23 = 9. Suppose -3*p + 197 = 5*z, -5*z + 201 = -7*p + 11*p. What is the remainder when z is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - p - 30, -4*p + 5 - 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from {z: 3, d: 1, y: 5, u: 1, q: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1535788 + 2826369. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 375*u - 181*u - 2*u**2 + 9 + u**2 - 184*u. Let v(q) = q**3 + 5*q**2 + 2*q - 4. Let y be v(-3). What is the tens digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 34233?\nAnswer: 34241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (78 - 74)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.0292233.\nAnswer: 0.01461165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070 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: Simplify ((((j\/(j\/j**(-1\/3)))\/j)**(14\/9)*((j**(2\/9)\/j)\/j)\/j**(-9))**45)**45 assuming j is positive.\nAnswer: j**10425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 1\/2*r**4 + 0 + 4*r - 2\/15*r**6 + 0*r**5 + 0*r**3 + 0*r**2. Find the third derivative of n(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30265.04 + 30827. Let z = u - 562. Let j = -2.5 - -2. Sort 2\/13, 6\/5, j, z in descending order.\nAnswer: 6\/5, 2\/13, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/7))\/i**(-1)*i**3\/i**1)\/((i**1*i**(-2\/13))\/(i**(-1)\/i)**(-5)) assuming i is positive.\nAnswer: i**(1275\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 2551 - g**2 + 2387 + (-1 - 1 + 1)*(g**2 + 3*g**2 - 2*g**2) as c*g**2 + q + m*g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 + 3*z - 3. Is x(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 + 1 - 1 + (2*d**3 + d**3 - 4*d**3)*(-4 + 3 - 2))*(18 - 6 - 6) to the form l + g*d**3 + q*d + v*d**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 3, w: 1}. Give prob of picking 2 i and 1 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80911698 divided by 26970566?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*r - 136, -4*g - 85 - 85 = -5*r. What is the remainder when r is divided by ((-12)\/(-4) + -5)*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 0*u**4 + u**4 + (3*u - 3*u + u**2)*(3*u**2 + 4*u**2 - 4*u**2).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Let r be 20\/d*(-5 + -1). Let m = r + 71. 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: -531 * -0.04\nAnswer: 21.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 65 - 64, 4*r + 48 = 4*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/33 - 28*t**5\/55 + 100*t**4\/11 - 340*t**3\/33 - 199*t**2\/11 + 368*t\/11 + 7505. Let k(y) = 0. Calculate y.\nAnswer: -23, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*z - 5*x, 0*x + 2*x = -2*z. Let g = -1 + -4. Sort g, z, -3\/7 in descending order.\nAnswer: z, -3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000068 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20. Let u = -25\/44 - -3\/4. Factor 0 + u*c**2 + y*c.\nAnswer: 2*c**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11329*z**3 - 33851*z**3 + 11377*z**3 + 11140*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let r(g) be the third derivative of -g**8\/5040 - g**5\/20 + 5*g**2. Let q(c) be the third derivative of r(c). Determine y(q(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 5)*(-r + r - 3*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11760 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*n + 4*s - 44 = -293*n, 3*s - 12 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 72175*y**3 - 36466*y**3 - 3*y - 3*y.\nAnswer: -108641*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 12*h**2 + 16*h + 4. What is the units digit of m(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsmmdxmdumummsmjm. What is prob of sequence sdum?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -37*c. Let m(l) = 5*l - 6. Let h(i) = -4*i + 5. Let z be (-4 + 3)*1*-3*-2. Let p(q) = z*h(q) - 5*m(q). What is p(r(f))?\nAnswer: 37*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, 0, 2, 211?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 74*t**3 + 10*t. Let l(k) = 37*k**3 + 142*k - 21. Let q(a) = 7*a**3 + 27*a - 4. Let c(v) = 4*l(v) - 21*q(v). What is -10*c(b) + z(b)?\nAnswer: 64*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(147) - sqrt(3)) + (sqrt(288)\/(sqrt(12)*3))\/sqrt(8).\nAnswer: -4 + 73*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*p - 68407*a - 25885*p with respect to p.\nAnswer: a - 25885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, f: 1, k: 1, j: 1, c: 5}. Give prob of picking 1 l, 1 c, 1 j, and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1926 (base 15) to base 16\nAnswer: -153c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. Let q be 7 + (-4 - 5) + y. Suppose 3*o - q*r = 480, 800 = 5*o - r - 3*r. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 5, z: 2, a: 5, x: 1}. Give prob of sequence xpz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193448 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33940503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 295671 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - t**2 + 3*t**2 - 1 + 8*t - 31*t + 26*t as h*t**3 + f*t**2 + v*t + j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n**3 + 0*n**6 + 1\/1995*n**7 + 0*n**4 - 1\/570*n**5 + 0*n + 0 - 9*n**2. Find c such that h(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:48 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 = -4*x - 59. Let s = 143 - 153. What is the common denominator of s\/(-35) - (-359)\/x and 25\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - h**2 - h + 70. Let w be ((-2)\/8 + (-1)\/(-4))\/(-3). Let s be n(w). Let l = 45 + s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 61*c**3 - 2*c - 14. Let p be j(3). Suppose 7*w - p = -136. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2))\/(-17*50\/25).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/10*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16*-3*(-1)\/1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 0, -4 in decreasing order.\nAnswer: 0, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - 2*y**3 - y**3)*(4 - 1 - 4)*(13 - 39 - 15).\nAnswer: 41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.04*5.3.\nAnswer: 5.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Let h = -2606 - -2606. Which is the closest to -1? (a) h (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 7168?\nAnswer: -7161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 13358*g - 13360.\nAnswer: 2*(g - 1)*(g + 6680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 + 3. Let p(w) = 19*w. Give p(j(s)).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imzmimidzid. Give prob of picking 1 i and 1 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 9*m + 186. List the prime factors of (35\/m + -2)*-72.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/24*2*-7. What is the common denominator of -61\/27 and 131*(3\/12)\/(w\/(-3))?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/613833 and -41\/2937.\nAnswer: 613833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1377.39194099 + -1316.3919436. Let h = z - 61. Round h to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**4 + 23*a**3 + 26*a**2 + 35*a - 3. Let c(m) = -14 + m**3 - 4*m + 13 + 6*m - m. Let o = 10 + -8. Let y(w) = o*r(w) - 22*c(w). Factor y(f).\nAnswer: 4*(f + 1)**2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 21*h**2 + 9*h + 8. What are the prime factors of l(21)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 17. Let v be ((-4)\/l)\/((-1)\/(-3) - 0). Factor b**3 + 4*b**v + 0*b**4 + 7*b**3 - 4 - 8*b.\nAnswer: 4*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -2\/49, 11, -5\/3, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 282\/69 - (-23 - -7 - -7)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 767 + -478. What is the remainder when f is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50\/3 - -553\/33. Let h be ((-2)\/6)\/((-77)\/33). Which is the second biggest value? (a) h (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/1061 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*o - 78949*n - 9*o - 11940 with respect to n.\nAnswer: -2*o - 78949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 5. Let z(u) = 3*u + 10. Let s(p) = 5*t(p) + 3*z(p). Let q be s(5). Suppose q = 4*v - 62 - 174. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 400*c + 176. Let f(d) = 3*d + 2. Determine 176*f(h) - 2*x(h).\nAnswer: -272*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 493 - 344054?\nAnswer: -343561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 42 - 20 - 38*h - 40.\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) - (-2)\/6. Suppose 0 = -r - l*r + 6. Suppose 2 + 1 + 2*v**2 + 1 - r = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4804\/19 - -253. Sort -4\/9, 2\/7, f in decreasing order.\nAnswer: 2\/7, f, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -2\/7 in increasing order.\nAnswer: -0.3, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223852442.\nAnswer: 2, 11, 37, 275003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -15, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.15, -3\/34, -1\/4, 2, 1\/8 in descending order.\nAnswer: 2, 1\/8, -3\/34, -1\/4, -4.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + -2 + (2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -27*w - f - 817, f = 2*w - 1636. Calculate the remainder when w is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 0*l**2 + 3 + 1\/4*l**4 + 4*l + l**3. Let j be o(-3). Solve -3*x - 28 = -4*a, -9*a = x - j*a - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 63. Suppose -b + 5*a = -49, -3*b - 2*a + 6*a = -125. What is the first derivative of -5 + b*v - n*v - 34 wrt v?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 14634018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {g: 5, e: 4, m: 1, o: 3, u: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -69. Let p = 25 + w. What are the prime factors of p\/56*-8 - 1013\/(-7)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3317554 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 + 0*u**2 - u**2)*(4*u**2 - 3*u - 4*u**2 - u**2 + 4) in the form x*u**2 + m*u + j + i*u**4 + c*u**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3235 + 3235. Sort 0.4, n, 3, -1\/3 in ascending order.\nAnswer: -1\/3, n, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 664753 + -71?\nAnswer: 664662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552567274.\nAnswer: 2, 776283637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 8\/5, 7, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16415420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 12 = -21*c + 2*c + 2*z - 40 - 12, -2*z + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16 = -5*r + 6*r, -3*d + 24 = 3*r. Suppose -8*a + 9*a + 146 = 3*s, 5*a + 213 = r*s. Solve s*h = 43*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (302 - -10 - 133)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 1. Let k(h) = h**3 + 11*h**2 - h + 6. Suppose a + 8 = 5*a. What is a*k(l) + 11*z(l)?\nAnswer: 2*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 - 15*u**3 - 132*u + 5*u.\nAnswer: -3*u**3 - 127*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 735 - 698.1. Let z = n - 37. What is the third biggest value in -0.3, -5, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a**1\/a)\/(a\/a**(3\/16)*a**(-2)) assuming a is positive.\nAnswer: a**(-157\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, k: 5, j: 3, x: 1}. What is prob of picking 1 p, 1 k, and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 776a725 (base 11) to base 6\nAnswer: 1204051150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 104 = 4*g, -64 = -0*w - w + 4*g. What is the remainder when w is divided by (6 - (-85)\/(-15))*57?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4\/3 + 3944*j**3 - 4020400*j**2 + 4599140000*j\/3 - 123462000000 = 0.\nAnswer: 108, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1885, 3619, 18545, 47603, 95503, 166955, 266669, 399355?\nAnswer: 569723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43126035?\nAnswer: 3, 5, 23, 125003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*a - 468, 7*h - 20 = 2*h. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8046186 and 1328.\nAnswer: 64369488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(3*sqrt(12)) - (sqrt(55)\/sqrt(5) + 5))**2.\nAnswer: 20*sqrt(11)\/3 + 269\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*p - 13459 - 54252, 8*y = -3*p + 135487. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0 + 3*y - 7\/2*y**2 + 1\/20*y**5 - 1\/2*y**4 + 7\/6*y**3. Give t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49990 - 39696. Is j a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49295 is divided by 16127?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 + 43*f + 35. Let l be b(-10). Solve -l*g = -28 + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = 6*x - 645. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 8. Let t be l(10). Solve 3*d = t*v + 7*d + 10, -5*v = d - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 67. Suppose -4*f + r = -3*p - 1, -5*f = -2*p - 68. Let d be 9\/f - 26\/24. Which is the nearest to 0.1? (a) 1 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 22. Let w(v) = -4*v + 33. Let n(r) = 7*a(r) - 5*w(r). Suppose 4*y - 3*d = -8, 4*y - 4*d - 1 = -5. Give n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(4\/(-36)*2)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -704276, -1408547, -2112816, -2817083, -3521348?\n\"Answer: q**2 - 704274*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/493 in 31, 0.1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 137, 32.17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 536538 times 4\nAnswer: 2146152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102136\/15 - 6806. What is the common denominator of t and 4\/6*(-3)\/(-270)*335?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(0*n**4 - n**4 + 0*n**4) - n**4 + n**3 - n**3 + (-2*n**3 - 2*n**3 + 2*n**3)*(3*n - 6*n + 2*n).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62754949, 125509899, 188264849, 251019799, 313774749, 376529699?\nAnswer: 439284649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -14.2 (c) 107 (d) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/((-11)\/((-55)\/(-2)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftftootofoofoofo. Give prob of sequence ooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 10750?\nAnswer: -10748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 - 89. Suppose -u - b = 140, -o*u - 673 = u - 4*b. Let y = u + -18. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66310688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19937*z - 2142*z - 2649*z = -7280*z - 426094 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 15}. Give prob of sequence lrl.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -6 + 1 - 6. Let q be (m\/(-24))\/(1\/24). Let c(h) = -h**3 + 8*h**2 + 2*h - 4. What is the tens digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 4)*(6 - 1 - 5*u - 3)*(-44 + 9 - 2).\nAnswer: -370*u + 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43801377\/890 + 49215. What is the common denominator of s and -11\/1869?\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -86041741168?\nAnswer: -86041741168.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k + 51*k = 148. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669396500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 2*y - 1. Let l be v(-3). Let m = 74 + l. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4932 divided by -12\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1247 = 5*d, 4*d + 1003 = 2535*j - 2534*j. Do -0.03 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**3 - 23*l**2 - 20*l + 10. Is b(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 168*b - 1. Let m(l) = 2*l**2. What is m(j(r))?\nAnswer: 56448*r**2 - 672*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1 + 0*o + 1\/2*o**2. Let s(h) be the third derivative of -h**4\/24 + 18*h**2. What is s(t(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3084?\nAnswer: 15420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.15 and 2756.6?\nAnswer: 2756.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/(-1)*6\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 3, x: 5, l: 2, r: 4, m: 5}. Give prob of sequence om.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -11, -21, -31?\n\"Answer: -10*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - 7) + 56 + 13 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -0.06 (c) -0.5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - -3 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/1647? (a) 3 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.93416693 to one decimal place.\nAnswer: -63.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 + 4*v. Let i(a) = 24*a**2 - 33*a. Let z(p) = -4*i(p) - 33*k(p). Let m(h) = 11*h. Let s(r) = -r. Let c(j) = m(j) + 6*s(j). Give z(c(l)).\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n + 0*n + 23*n - n.\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose z*k - 60 = 10. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -266, -385, -502, -617, -730, -841?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let d(b) = b + 125529. Calculate d(t(a)).\nAnswer: -2*a + 125529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axjaapgllpaallpajj. Give prob of sequence xpa.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= -35698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 716797, 716798, 716803, 716812, 716825, 716842?\nAnswer: 716863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 932 + -936. Let u = 0.42 - 1.42. Which is the fourth smallest value? (a) u (b) 0.1 (c) j (d) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/11)*q)\/q**(-4)*(q**2*q)\/(q**(-3)*q) assuming q is positive.\nAnswer: q**(123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -3, 265?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t**5\/9 + 64795*t**4\/9 - 189608*t**3\/3 + 1457164*t**2\/9 - 909280*t\/9 + 18368 = 0.\nAnswer: 2\/5, 4, 2583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1)\/((-2)\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3269*w - 639864 = -1127*w - 2318*w - 2173*w for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, j: 3, f: 3, m: 3}. Give prob of picking 1 m and 3 j.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24275137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + v**2 + v**2 + (103 - 103 + 58*v**2)*(-1 + 0 + 3) as m*v + s + x*v**2 and give x.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let z(k) = -43*k**2 + 7*k + 26. Let s(u) = -14*u**2 + 2*u + 9. Let o(f) = 7*s(f) - 2*z(f). Determine o(v(g)).\nAnswer: -12*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -103. Let i be (1 + (-31)\/33)*(-99)\/(-66). What is the smallest value in f, 4, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51104590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0. Let i(w) = -w - 3. Let s be i(-4). Let x = -0.07 + -1.93. Put s, k, x in descending order.\nAnswer: s, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175498798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 63 = -v - s, 2*s = 5*v - 302. Suppose 7*t = 19*t - v. Solve -t*h + 2*i + 27 = 0, 3*h - 4*i = 4*h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (208 - 189) + (-37 - -1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7978 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 - (30 + (-9 - 37)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 0*v**2 + 7*v - 5*v + 0*v**2. Let s be -3 - (28\/8)\/(2\/(-4)). Suppose 5*x + 21 = 2*u + 1, -s*u + 18 = x. Determine z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/6 + (-1)\/(-3). Suppose 2*q + q - 9 = 0. Let t = f - q. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 5 - (7 + -9 - 87). Suppose -84*t - 356 = -y*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2050893 and 89\/37827582.\nAnswer: 340448238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 9. Let n be (-12 - -1)*m\/3. Let x = 98 - 54. What is the highest common factor of n and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/(-5) - (-4 + 9). Solve 2 = s - l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 39 - -55 - (-10 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = -15*s - 18. Suppose 6*t - s*t - 12 = 0, 3*i = 5*t - 11. Sort i, -4, 0 in descending order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -51, -22, 31, 114, 233, 394, 603?\n\"Answer: l**3 + 3*l**2 - 5*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-8)*8*(-1)\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -5, 1 in descending order.\nAnswer: 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1089 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9896 is divided by 1275?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/(13\/52).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1631, 1538, 1407, 1244, 1055, 846?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 104, 361, -1\/6.\nAnswer: -0.3, -1\/6, 104, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*i = -312*i + 2*p - 12761, 0 = -p + 2. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15b18 + 6?\nAnswer: -15b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -858.2 + 858. Which is the nearest to q? (a) -2 (b) -4.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 1940*f**4 - 93185*f**3 - 803440*f**2 + 898560*f = 0. What is f?\nAnswer: -32, -13, 0, 1, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17766, -35528, -53290?\nAnswer: -71052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 2, 4, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/12 and 97\/1391498.\nAnswer: 8348988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*x - 4*z, -2*z = x - 5*z + 2. Suppose -i - x*i = 5. What is the common denominator of -13\/12 and 207\/42 + i*1?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, q: 3, p: 2, r: 7}. What is prob of sequence rqr?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2013464*o**2 - 2122355*o**2 - o + o.\nAnswer: -108891*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754.8796 centuries to decades.\nAnswer: 7548.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -3431334\nAnswer: 2\/1715667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qggigqiiji.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (-16)\/31104*-636 and -5\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5\/4, 9\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + 4.5. Let c = -10 + q. Suppose 4*s = -x - 10 - 9, -4*s = -4*x + 4. What is the nearest to x in c, 0.1, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:49 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78.93316 - -0.06684. Suppose 12 = -24*n + 21*n. Which is the third smallest value? (a) -3 (b) -3\/7 (c) n (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -0.9, 2\/21, -0.5, 3941, 1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54952636 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*s**6 - 3*s**5 - 573*s**2.\nAnswer: -9120*s**3 - 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15426 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*r - 33*f**3*t**2 - 750*f**3*t + 30*f**3 + 3*f**2*r*t**2 - 47*f**2*r + 5*f*r*t - 352475*t**2 wrt t.\nAnswer: -66*f**3 + 6*f**2*r - 704950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032123 + -31201032?\nAnswer: -23102303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 0.5, 3 in descending order.\nAnswer: 180, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 50*b**3 - 3*b**2 - 20*b + 34. What is the hundreds digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1282848*g**2*w**3 - 2*g**2*w - 7933*g**2 - g*w**3 + 2*g*w - 4*w**3 + 62*w wrt w?\nAnswer: -7697088*g**2*w - 6*g*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {v: 8, y: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0*c**2 + 0 + 25\/6*c**3 - 19\/12*c**4 - 27*c. Find the second derivative of s(z) wrt z.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 250 or 61454\/247?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37228\/(-1435) + 2470\/95\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 18*s**2 + 18*s + 39. Let m be y(-4). Calculate the highest common divisor of m and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.038 and 5.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 4 + 12*b**2 - 15 - 3*b**2 + 18 + 2*b as i*b + y + z*b**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62580283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*z - 2613, 2*z - 1111 = 3*q + 593. What is the remainder when z is divided by 147?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 54564778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135241 is divided by 181?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.1. Let i = -15.1 + 17. Let n = i + -1.91. Which is the nearest to h? (a) 5 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6 + 22\/(-33). Let q be (2 + (-10)\/(-4))*-22. Let k be 10*(q\/105 - -1). Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/42 of a week?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c + 5*b + 5, 0 = -c - 3*b - 5. Let z be 0 - ((-4 - -7) + c). Solve -3*q + q - 4 = 4*t, 3*q - 10 = z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-580)\/(-110) + -5 - 48\/176 - 12\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 197. Let v = d + 144. Suppose 0 = -2*p - 3*p - 5. Put -5, p, 1, v in descending order.\nAnswer: 1, v, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Let k = 5 - q. Let l = 0.12 - -4.88. Which is the third biggest value? (a) k (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 56. Let p(u) = -u**3 + 3*u - 1. Let x be p(-3). Let m = x - 9. Solve 3*k - 4*g = -7*g - s, -m = -4*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3513 - -3519. What is the remainder when 9 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6276838 - -6276837.7399903. Let p = -6 - -5.74. Let j = p - l. What is j rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-88)\/(-18) - -2 - 51\/54?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*p**3 - p + 3*p**4 - 91*p**3 + (2*p**2 - 3 + 3)*(4 - 4 - 1)*(3*p - 3*p - p**2) as j*p + m*p**3 + q*p**2 + a*p**4 + o and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 445*k + 434*k + 181*k - 28*k + 331*k as h + p*k and give p.\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223020010 + -101?\nAnswer: -223020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008.999 minutes in days?\nAnswer: 0.70069375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 4. Let y be x(-4). Suppose y = -0*h + h - 8. What is the highest common divisor of 56 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10.1 or 1674?\nAnswer: 1674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1835197)\/38416 - (-10 - (-978)\/96)) + 4\/(-98)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.6895 rounded to zero decimal places?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(432) - (sqrt(432) + -1 + sqrt(432))) + sqrt(432) - sqrt(432)) + -5)**2 + ((sqrt(75)*2*3)**2 - sqrt(75) - sqrt(75)) + 0.\nAnswer: 110*sqrt(3) + 3157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53034*n**2 - 43665*n wrt n?\nAnswer: -106068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 290.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10*n - 119 = 7*n, -4*n = 3*z - 176. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 + 41)\/(-490))\/(76\/(-14) - 0)\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 56\/3, -0.3, 5462 in descending order.\nAnswer: 5462, 56\/3, 7\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l + 70. What is the remainder when b(19) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 99014.37 and -0.2.\nAnswer: -19802.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12.42*1\nAnswer: 12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/40*(-1)\/2. Suppose 8*m + 32 = 8. Let f be 1 - -1 - (-1)\/(-2). Which is the third smallest value? (a) f (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, 40\/39, 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**7\/w))*w\/(w**(-16)*w) assuming w is positive.\nAnswer: w**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-15) - 6\/10. Let f = 6 + -1. What is the second smallest value in f, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75709205 is divided by 339?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:28 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696854671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 101 + 19)*(0*w**4 + 0*w**4 - 2*w**4).\nAnswer: 110*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4371 and 13659093.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*j + 15. Let x(m) = 10 - 10 + 6*m**j. Let c(v) = 0 - 27*v + 28*v + 0. Calculate c(x(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -212. Let q(t) = t**2 + 4*t + 3. Let d be q(-3). Which is the nearest to d? (a) 0 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 and 7\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -879601, -1759160, -2638703, -3518230, -4397741, -5277236, -6156715?\n\"Answer: 8*m**2 - 879583*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497719657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -759, -430, -91, 264, 641, 1046?\n\"Answer: m**3 - m**2 + 325*m - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1391812 and 6980.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.6. Let f = -0.09 - 0.11. Let r = g - f. Sort -2, 1\/5, r in increasing order.\nAnswer: -2, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -2434*s**5\/5 - 3615*s + 2595. What is the derivative of r(v) wrt v?\nAnswer: -9736*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3791422361?\nAnswer: 3791422361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(3520)*1) + (sqrt(165)*-2)\/sqrt(3))\/(1*sqrt(80) - sqrt(80) - sqrt(5)*-1*-6).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d. Let n(z) = 17*z + 140. Let p be n(-8). Let v(r) = 4 - p + 1271*r - 1268*r. Calculate v(x(k)).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34288317 by -34288317.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -57\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 110, -0.045, 1\/2, 76, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(389 - 783 + 5*o + 393).\nAnswer: 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y + 2. Let g be t(2). Solve 4*d - 2*x = -g, 3*x = -d + 4*d + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + 4.3. Sort -2\/13, 1\/2, k in descending order.\nAnswer: 1\/2, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671604459?\nAnswer: 3, 223868153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 3.3. Let d(i) = -112*i + 10860. Let g be d(97). What is the second biggest value in g, -11, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6325 + -3?\nAnswer: -6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -803.18 take away 0?\nAnswer: -803.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 35. Suppose -z = j - 8. Let u = j + 69. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -4*k. Suppose k*z = 62 + 4. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68918?\nAnswer: 2, 17, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 541570186 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115992.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7)*c**7)\/(c**4\/((c\/(c**(-4\/5)*c))\/c)) assuming c is positive.\nAnswer: c**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*w + 574*w - 143 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78735054?\nAnswer: 2, 3, 103, 127403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -26*c. Let h(p) = 2023*p. What is r(h(u))?\nAnswer: -52598*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16722 divided by 14\nAnswer: -8361\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - z - 9 = -5*d, -4*d + z + 13 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(13\/(-104)*-2710))\/(2\/5)?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 4*t + 4. Let d(r) = -8*r**2 - 3*r + 3. Calculate -4*d(i) + 3*n(i).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 21346248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 3 - 3)*(-1 - 6 - 4 + 1 - 1 + 2 + (-1 + 1 + 1)*(-3 - 1 + 5)) to the form l*y + v and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23303 (base 4) to base 3\nAnswer: 1000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + x - 120838, 146*o - 3*x + 24162 = 147*o. What are the prime factors of o?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65145 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315 - -319. Solve r*s - 3*v + 0 - 6 = 0, 6 = -3*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -21*w - 1128. Let k = w + -190. Which is the closest to 7? (a) 1 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k - 79. Let d be a(-9). Solve d*b - 2 = 5*p, 0 = -p - 3*p + 2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/8)\/((-124)\/62).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.84 and 2106.\nAnswer: -3875.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -193364, -773460, -1740264, -3093752, -4833900, -6960684, -9474080?\n\"Answer: 4*k**3 - 193378*k**2 + 10*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 194, 415, 714, 1085, 1522, 2019, 2570?\n\"Answer: -a**3 + 48*a**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - 46. Let p = 83 + g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30457 plus -1?\nAnswer: 30456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxbbdxxdxx. Give prob of sequence dxdd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 6, k: 3, x: 7}. What is prob of picking 2 k, 1 u, and 1 p?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -54)\/((-1)\/(-2)). Let r = -58 + 73. Suppose -r*l - 89 + 299 = 0. Calculate the highest common factor of k and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344179383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3360*c**4 - 23852*c**2?\nAnswer: 80640*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-58)\/(-6))\/((0 + -3)\/(-9)). Suppose 0*m - m = 9. Let g = q + m. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 52\/2*15. Let r = 1034 - i. Let o = r - 1014. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = 43*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2 - (-181404)\/112). Let g = -1617 + k. Let s = -909 + 3603\/4. Find the common denominator of s and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113\/3 + -449\/12. Let y(i) be the third derivative of 3*i**2 + 0 + 1\/30*i**5 + 2\/3*i**3 + d*i**4 + 0*i. Factor y(j).\nAnswer: 2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14949 - -28060. What are the prime factors of v?\nAnswer: 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (2 + 3\/1). Let a(y) = -2375*y**3 + y**2 + 3*y + 2. Let j be a(z). What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -1. Let d(y) = 9*y**2 - 6*y + 7. Let w(c) = c - 1. Let j(b) = d(b) + 4*w(b). Let v(a) = 4*a**2 - a + 1. Calculate o*j(l) - 5*v(l).\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = h + 4. Let c be -9 + (-8)\/(-10)*h\/(-14). Let s(v) = v**2 + 9*v + 10. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b**2 - b. Let m(u) = -9*u**3 - 4*u**2 + 4*u. Let t(o) = -48*o + 256. Let p be t(6). Let n = 36 + p. Determine n*f(l) + m(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-260))\/((-204006)\/200915).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvi when three letters picked without replacement from {r: 5, q: 1, v: 11, i: 3}.\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 0. Suppose x = -2*b + 4*j + 24, 5*b + 3*j - 34 = -0*j. Solve b*l - 3*l - 6 = -3*h, -4*h = 4*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:51 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*a - 5*a + 576*a - 136578 = -63*a for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 55*c**2 - 11*c - 536. Determine d(28).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 + 0.8. Let l = w + -5.0000004. Round l to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -389, -1, 12\/37, 1\/3, 1\/5, 1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 95*s + 97*s + 22, 3 - 5 = 2*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose d - b*d + 22 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*r + 19, 2*r + 2*r = -t + 13. What is the remainder when 72 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21232 + -24a1?\nAnswer: -23723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40194 = -37*v - 39750 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-130)*-13)\/(14\/(-3)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5000, -5772, -6548, -7328, -8112, -8900, -9692?\n\"Answer: -2*k**2 - 766*k - 4232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 + 6*y - 85. Let o be u(-30). Let j = o - -2025. Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8.04. Let j = -0.16 - 0.18. Let q = j - m. Which is the smallest value? (a) -1 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 5*v + 27 = 12*l, -2*v = 6. Suppose -x - l*c + 356 = 0, 3*x - 449 = 4*c + 554. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 + 7*f**2 - 2*f + 2. Let q(y) = -y**3 + y**2 + y - 1. What is m(p) + 2*q(p)?\nAnswer: 3*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4740, -20, -5, 4 in descending order.\nAnswer: 4740, 4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79*a**3 + 1120*a**2 + 190 + 170*a**4 + 1114*a**3 + 755*a - 463*a**3 - 5*a**5.\nAnswer: -5*(a - 38)*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48862 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 608779?\nAnswer: 86\/608779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 306481347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m - 21. Let v be s(7). Let o = v - 9. Let i(h) = -h**2 + 4*h + 7. What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 2*n + 8, 206 = 4*w - n. Let o = -4 + w. Suppose -5*s + 233 = 73. Calculate the highest common factor of s and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77 + 129)\/((-2)\/(-4)). Suppose 4*w + 33*o = 34*o + n, -4*o - 41 = -w. Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.02, -4, 2\/7, -342?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let n be 20*(-4*1)\/(-8). Let v(w) = n*w**2 - 3*w**2 - 4*w**2. Give v(q(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*a + 2 = -6, -4*a - 20 = 0. Solve -u + 3 = 3*w, -3*w + 3 = d*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y**2 + 17*y**2 + 25*y**2 + 4*y**3 - 70*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 - 3*m - 1. Let w(y) = 7*y**2 + 7*y + 3. Calculate -2*w(b) - 5*z(b).\nAnswer: 6*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2981653466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -373.859 + 0.859. Let k = c + 362.43. What is k rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(((sqrt(3388) + -1 - sqrt(28))**2 - ((sqrt(336)*-2 - sqrt(336)) + sqrt(336))\/sqrt(12)) + -2 + -4) + 0).\nAnswer: -432*sqrt(7) + 33540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 9 + 25 = 0. Suppose -26 = -8*x - y. Let o be (0 - 0 - 0)\/(-2). Solve -n + x = f, o = 4*f + f - 3*n + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -4*k**3\/3 - 7*k**2\/2 + 3*k. What is the derivative of a(z) wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 86 = -5*k, 65 = 2*j - 4*k - 17. Suppose -4*d + 29 = 2*n - j, 4*d - 91 = -3*n. What is the remainder when 173 is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -588 + 581. Let i = 49 - 22. Let c = q + i. Solve l + c = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l + 59*l**2 - 28*l**2 - 32*l**2)*(6*l**2 + 2*l**2 - 3*l**2).\nAnswer: -5*l**4 - 130*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1063*h + 3. Let v(j) = -518738*j - 1463. What is 1463*d(k) + 3*v(k)?\nAnswer: -1045*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*f = 18 + 1, -f = -m + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379201078.\nAnswer: 2, 11, 17, 23, 83, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(((-1)\/5)\/(24\/(-40))). What is the highest common factor of 84 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**4 + 48 + 110*o - 12*o**4 - 110*o with respect to o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2851940 divided by 285194.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*y - 183 = 5*o, -2*y - 61 = o. Let r(s) = s**3 - 10*s**2 + 7*s - 6. Let h be r(5). Let p = o - h. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r. Suppose r = -4*c - c + 25. Suppose -5*m + 5*t = -50, c*m + 0*m + t = 68. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -437*z**3 + 32*z**2 + 11*z. Let c(l) = 109*l**3 - 8*l**2 - 2*l. Let y(v) = -9*c(v) - 2*t(v). What is the third derivative of y(m) wrt m?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 17. Let s be n(-14). Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 8. Let l be s(8). What is the units digit of (-4)\/(-2) + (l + -3 - -30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 46360.\nAnswer: 46362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 749\/5. What is the smallest value in d, -1\/3, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.83 - -7.53. Let g = -10 + 5. What is the closest to 3 in q, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56004131 (base 7) to base 2.\nAnswer: -10010011001111111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5634514 - 5?\nAnswer: 5634506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140823 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 (base 6) in base 2?\nAnswer: -110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - t - 2*t)*(4 - 4 - 2) + (-2*t - 6 + 6)*(1 - 1 - 6) to g*t + c and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-9)\/(-18)*(-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 2040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8220113, -8220099, -8220075, -8220041, -8219997, -8219943, -8219879?\nAnswer: -8219805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 + 158 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(2 + (-2 - -1))*-1. Suppose w = -1 + 2, a = 5*h - 5*w - 535. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 5) + (-2)\/(9 + -10). Solve r*c + 244 - 268 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623715.\nAnswer: 3, 5, 43, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757479443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39034991 rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/55*-1*(2 - 4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 5. Let s be z(-4). Let k = -16 + 31. Factor -k*b**2 + 46*b**3 + 4*b - s*b**2 + 10*b**3.\nAnswer: 2*b*(4*b - 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(252) - -2*(3 + sqrt(252) - sqrt(252))) + 1*(3 + sqrt(252))*6 + 5 + -2)**2.\nAnswer: 1932*sqrt(7) + 12877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 5486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 454 = 0. Suppose -4*a + 126 = 5*v, -2*a + 5*v = -3*a + 39. What is the remainder when k\/8 + (-4)\/(-16) is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1500*l**5 - 2553*l**4 + 624*l**3 + 411*l**2 + 18*l = 0. What is l?\nAnswer: -1\/4, -6\/125, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1000021?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081626 to seven dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -c + 61. Suppose -g + 4*x + 41 = -3, 5*x = 2*g - c. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 - -465. Suppose 3 = -0*v + v, 4*h + 4*v = 44. Let z(g) = g + 11. Let l(k) = 6 + 4 - 1 - 4 - 9. Determine h*l(t) + o*z(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*-3 + sqrt(170))*-5)\/((2*sqrt(100))\/sqrt(10)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1134635 and 745.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 1750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjjhjhjhdjjrjh. What is prob of picking 1 h and 1 r?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57 + 1 - (0 + -4). Does 10 divide (-12)\/(-7 + 3) + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 2)*5\/(-3). Let f be -4*1*245\/(-20). Suppose b*k + f = 154. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.037 from -5205.\nAnswer: -5205.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 39 = -3*z, 3*z - n - 57 = -z. Suppose -17 = -3*k - 5. Differentiate 4*f**4 + 14 + z*f**k + 12 - 38 wrt f.\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(5) - (2 + sqrt(5))) + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/15 + 2*p**2\/5 - 4*p\/15.\nAnswer: -2*p*(p - 1)**2*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**34*(q\/(q**6*q))\/(q**(-1\/5)\/q*q*q))\/(q**1\/((q\/(q**(-3\/7)\/q*q))\/q)*((q*q**8)\/q*q)\/q**(-1\/12)) assuming q is positive.\nAnswer: q**(7369\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*w**4 + 6482*w - 6482*w + w**3 + 40 wrt w.\nAnswer: 12*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 + 57060*a**4 - 742535*a**3 + 1029050*a**2 + 9140640*a + 7312000 = 0.\nAnswer: -11425, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 12 + 4. Suppose 84 = 5*h - 2*k, 5*h - k = a*k + 81. Suppose 4*n - h = 2*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -104, 2\/21, -6, -27 in increasing order.\nAnswer: -104, -27, -6, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 609492 and 95496?\nAnswer: 513996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558 + 748. Let a be 29 + 12\/6 - (3 + -2). Calculate the highest common factor of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(119) + 2*-3*sqrt(119))\/sqrt(7).\nAnswer: -5*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**8\/20160 + j**7\/1260 + j**6\/720 - j**5\/60 + 4*j**2. Let c(g) be the third derivative of s(g). Determine c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1576\/64 - (-195)\/(-312). Solve 69*f + 372 = -g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 366, 578, 812, 1074, 1370, 1706, 2088?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x + 19. Let d be s(0). Let o = d + -16. Which is smaller: 1\/4 or o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561\/2 equal to 780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 101\/2, 479, -1, 0.1 in ascending order.\nAnswer: -1, 0.1, 101\/2, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 62, 94, 148, 230, 346?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -247226308\nAnswer: 24722630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-7)\/(847\/110)))\/((-2)\/10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 56536*i - 3561774. What is o(63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 11, z: 7}. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9790 divided by -4895?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431395, -862794, -1294193, -1725592, -2156991, -2588390?\nAnswer: -3019789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 6 = -7*x, 2*x = -k + 11772. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20256 divided by -137?\nAnswer: -20256\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -191, 0, -5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 - 3094\/(-84))*(-12)\/(-2). Solve 0 = -4*t + 12, i*t - 3 = -3*x + 24*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-8*(-8)\/1920.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15120 and 107100.\nAnswer: 1285200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*v = -715*v + 272 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -1*(2 - 0). Let w(b) = 17*b + 2. Let v(r) = -25*r - 3. Let z(q) = 5*v(q) + 8*w(q). Let h(j) = 6*j + 1. Let f(g) = 7*h(g) - 4*z(g). Give f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -13. Suppose -53 = -14*p + 283. What is the highest common divisor of f and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**5 + 19*d**4 - 26*d**3 - 408*d**2 - 12.\nAnswer: 480*d**2 + 456*d - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925837 divided by -180?\nAnswer: -1925837\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95)*-6)\/(sqrt(50)\/sqrt(40)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/20 (b) 8463 (c) 3 (d) 2 (e) 18 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 272638520 divided by -18040\nAnswer: -15113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193614675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1166282 and 3038?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 2*l**3 + 3*l**2 - 4*l**2 - l**3 to the form a*l + s*l**3 + p*l**2 + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(98) + -1)*-1)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/70 (b) -1 (c) 0 (d) 8 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d. Let h be m(1). Solve -3*u + 2 = -h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+-266.81\nAnswer: -259.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let o(w) = w**2 - 7*w + 2. Let z be o(6). Let x be (-2)\/4*z*1. Solve s + x*s = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20713 - -1460?\nAnswer: 22273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 45*d**2 - 234*d + 122. Give v(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 20. What is the derivative of 0*y**2 - y**2 - 4*y**2 + 2*y**2 - w wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10815608 and 1160?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1012 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584042*u**2 + 6*u**3 + 584042*u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -34 + 98. Calculate the remainder when 58 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*4\/((-28)\/(-4753)).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.1 (c) -5 (d) 2\/5 (e) -3\/338 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 2280?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37546\/9845 - 4\/895. What is the common denominator of i and (-36)\/(-22) - -1 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 529948\/(-180)*1 + 2. Let t = 2942 + h. Let p = -4\/9 + t. Which is the biggest value? (a) 1 (b) 14 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 33264 = 4*l, 0*l + 2*l = -5*r + 41592. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -445*t**3 - 460*t**2 - 27*t + 4. Let x(b) = -890*b**3 - 920*b**2 - 51*b + 7. Let d(s) = 7*g(s) - 4*x(s). Factor d(h).\nAnswer: 5*h*(h + 1)*(89*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 3. Let n(d) = -5*d. Let u(x) = x. Let y(b) = -2*n(b) - 9*u(b). Let o(t) = -q(t) + 5*y(t). Determine o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 15*p + 8. Let w be (1\/(-3))\/(6\/(-36)). Suppose w*b = -b - 39. Calculate the smallest common multiple of y(b) and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(-3) + 46\/4. Is 10 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*x**3 - 3*h**3*x + 2892*h**3 - 3*h**2*x**3 + 2*h**2*x**2 + 4*h*x**3 + 245*h*x - 3 wrt h.\nAnswer: 12*x**3 - 18*x + 17352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -143, -230?\n\"Answer: -87*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**3 - 2*a**2 - 4*a - 9. Let d(v) = -v**3 - v**2 - 2. Let k(y) = -6*d(y) + u(y). Let w be (-9)\/3 + 0 - -2. Let x = 3 + w. Determine k(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4\/11 - 6*k**3\/11 + 260*k**2\/11 + 384*k\/11 - 256\/11 = 0. Calculate k.\nAnswer: -8, -2, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -1\/38 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17041 is divided by 5413?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 63 = 36*j - 35*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29664920?\nAnswer: 2, 5, 67, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165256713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/137184 and 49\/4287.\nAnswer: 137184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20266250 divided by 50\nAnswer: 405325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1498754, 1498757, 1498760?\n\"Answer: 3*k + 1498751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6422.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 20*g**2 - 3*g + 116. Let v be l(-21). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 10*o**2 + 5*o + 83. What is v(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (9 - 1) - (-5 + 5). Put j, -75, -4 in decreasing order.\nAnswer: j, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 - -0.01. Let m = 9.64 - -0.36. Let h = 10.1 - m. What is the closest to -1 in 1\/5, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11498 is divided by 5634?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 + (-1708)\/5. Let t = -322 - q. What is the highest common divisor of 220 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4856.8992978 - 4847.8993. Let z = 22 - 13. Let f = z - x. What is f rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l - 4*l + (2 - 4 + 3)*(l - 1 + 1) + 0*l + 0*l - 3*l - 3*l + 4*l - 2*l + 2*l - 5*l + l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(1 + sqrt(320))*5 + 4 + 1)**2.\nAnswer: 28800*sqrt(5) + 514025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 4*w + 3*w + (-1 - 4 - 5)*(5 + 3 - 2)*(3*w - 4*w + 0*w) as j*w + o and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772232.\nAnswer: 2, 83, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8428 or -8429?\nAnswer: -8428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n - 116 - 264. Let h = -5 - 50. Let i = n - h. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**2 - 1. Let z be o(-1). Suppose -z*v + 9093 = 3072. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 542 + -540. Suppose o - 1135 = 4*h, 97*o - 95*o - 2310 = -s*h. List the prime factors of o.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x, -x = -0*h - 4*h - 56. Let d = h - -17. Solve d*l = 2*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 2. Let a(z) be the second derivative of 8*z**3\/3 - 9*z**2\/2 + 33*z. Calculate -2*a(q) - 9*j(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28989803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -49. Suppose 2*g - q = 9. Let k = g - 11. Solve -k*i - 16 + 1 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -410, -215938, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18410451607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7594*y - 102*y**2 + 7594*y.\nAnswer: -102*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a)*(-a**2 - 2*a**2 + 2*a**2) + 2*a**2 + 2*a**3 - 2*a**2.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3565, -7375, -10873, -13903, -16309, -17935?\n\"Answer: 26*b**3 - 3992*b + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9.6, 2\/7, 4, 0, -31, 1\/4, 0.11?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245409 plus -15835?\nAnswer: 229574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-36)*-6)\/((318\/(-8))\/(213\/142)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727091?\nAnswer: 1021, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621369, -2485567, -5592595, -9942453?\nAnswer: -15535141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 2*a**3 + 0*a**2 + (0*a + 2*a**2 + 0*a)*(-7*a + 3*a + 9*a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 51, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 - n**2 + 2*n. Let k be j(2). Suppose o + 0*o = -4*c + k, 0 = 5*c + o - 121. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23712301 + 23712310.00000064. Let k = 14 + -23. Let c = l + k. Round c to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5485484 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001227 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 - 2. Let l(b) = -b**3 - 2*b**2 - b + 2. Let s(z) = 3*l(z) + 4*o(z). Let u(x) = x + 1. Give s(r) + 3*u(r).\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.947 rounded to the nearest integer?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19602088003949 - 17.\nAnswer: 19602088003932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 574563 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**3 + 5*p**2 + 19*p + 501. Let h(x) = -4*x**3 + 3*x**2 + 11*x + 250. Calculate -5*h(n) + 3*r(n).\nAnswer: -4*n**3 + 2*n + 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 36*g - 155 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134.456 - 0.144. Let p = 135 + h. What is the closest to p in 1\/5, -0.3, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnjnnnnn. What is prob of sequence njnn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 86*m + 23. Is u(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*100\/6. Let r be 90\/j + (-9)\/15. Suppose -88 = -0*s - r*s + 5*p, 0 = -2*s + p + 68. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 31 - 38. Let r(u) = 531*u - 82. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 5\/6*w**3 + 0*w - w**2 + 1\/12*w**4 + 0. Does 13 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 3*p**4\/4 - 4*p**3 + 6*p**2 + 8. Factor d(x).\nAnswer: 3*x*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -213 + 207 + -3 + 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 770543 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 + -a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*u + 6*u. Solve -u = -2*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express i - i + 6*i + 0*i - 27 - 4*i + 2*i**4 + 2*i**3 as j*i**4 + b + y*i + c*i**2 + r*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1497*i**2 + 2 + 0*i**3 + 2*i**3 - 21*i**4 - 2*i + 1496*i**2 - 1 to s*i**4 + g*i**3 + h*i + v + b*i**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 8. Let n be j - (-4 + (-16)\/(-2)). Suppose -y + 1 + 2 = n. Solve -y*f - f = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61047900669*d**3 + 5820879320*d**2 - 647193*d + 18.\nAnswer: -(21*d - 2)*(53917*d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63209 - 7458747\/118. Find the common denominator of -17\/2 and l.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/2 + 3390*k**2 - 40842*k + 122688.\nAnswer: 3*(k - 6)**2*(k + 2272)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093312937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 33*z**2 - 26*z**2 + 42*z**2.\nAnswer: 49*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -9. Let u = 11 + q. Suppose -m + 2 = -u. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -292, -304, -316?\n\"Answer: -12*m - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - -0.5. Let b = d - -14.62. Let a = 15.0000028 - b. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1062 - 9*i + 1057 - 21*i - 2*i**2 + 1066 - 3269 as o*i + c + r*i**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-170)\/20)\/(15\/(-14) - -1). Let q = -87 + n. Factor -q + 6*k**2 + 8*k**3 - 20*k**3 + 13*k**3.\nAnswer: (k - 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 5 + 15*g to f*g + a and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 548. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/7, -3\/7, 1\/20, -4, -14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908284710?\nAnswer: 2, 3, 5, 1051, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-6 - (-1 - -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 1818564?\nAnswer: 9092820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 357?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.79 and 8744.\nAnswer: 6907.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.764106t in grams?\nAnswer: 3764106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/10)\/((-4)\/(-20)). Suppose 2*h - 6*h = -d. Suppose 30 = 4*w - h*m + m, -2*w = 5*m - 28. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371065733?\nAnswer: 3, 152340637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*g + 13*g - 120. Let d(l) = 2*l**3 + 14*l**2 + 5*l - 7. What is the remainder when d(g) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 less than or equal to 499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17553 + -37.116.\nAnswer: -17590.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/553343 and 99\/140?\nAnswer: 11066860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeevvvvv. What is prob of picking 3 v?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 6*j**2 - 3*j - 31. Let g = -674 - -668. What is b(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1150.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/311 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -21 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499058.\nAnswer: 2, 1749529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 327822 and 149010.\nAnswer: 1639110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*f - 2*f - 939, -3*u = -3. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Let b(p) be the first derivative of -2\/5*p + 2\/5*p**t - 2\/15*p**3 + 2. Determine j so that b(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)*w**(-5))**(2\/11) assuming w is positive.\nAnswer: w**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4712 - -4708.6272. Let r = j + -0.0572. Let x = r + 0.23. What is x rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {b: 3, y: 2, c: 5, o: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -39. Let x be (-159094)\/(-40) - 12\/k. Let w = x - 4002. Calculate the common denominator of 53\/9 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32443211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 4096.\nAnswer: 4096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 + 7570*w**2 - 83564*w - 197392 = 0. What is w?\nAnswer: -3796, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033306 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let b be r(6). Let g be 10\/(-25) - ((-22)\/5)\/1. Put -5, g, b in descending order.\nAnswer: g, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from {q: 2, d: 2, h: 2, z: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 10 + 36 + -46\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*b - 148, 0 = -b - 2*b - 3*i + 84. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 10 + 6. What is the least common multiple of 6 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -23 - 26 + 49 - 4*l. Let d(z) = -z - 4. Let a(w) = -w - 3. Let y(n) = -4*a(n) + 3*d(n). Determine u(y(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-6)\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/2160 + l**5\/120 - 7*l**4\/144 - 4*l**3 + 8*l**2 + 3*l. Let h(p) be the first derivative of z(p). Factor h(u).\nAnswer: (u - 1)*(u + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 130.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9219 - 7882. What is the least common multiple of 7 and d?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from hhiiiijjijibjjzzh?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1372 and 257936.\nAnswer: 257936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*q + 5*q + 16, i + 12 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-7)\/168*27).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 238 = 92. Let r = 308 + k. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 - 93. Calculate the greatest common divisor of h and 4224.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*r**4 + 5*r - 5*r + 3*r**4 + 2*r**4 - 3*r**4 + (0*r + r**3 + 0*r)*(2 + r - 2).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 15*t - 6. Calculate l(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + -2 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - -12)\/((-1)\/233). Suppose -4*w + 159 = -g. Let u = -38 + w. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 1589*w + 4*w**2 - 1589*w + 2*w**3.\nAnswer: 2*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.129 and -4.\nAnswer: -0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332 (base 5) in base 9?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265434 + 499434. Round s to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(104\/(-12840)) - 7. What is a rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - 3*k. Let l(t) = -t**3 - t + 4. Let z be l(0). Let w be y(z). Suppose 0 = m - 3*m + w. Calculate the remainder when 34 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*c**2 + 11*c**2 + 5*c + 1 - 2*c**3 + 31*c**2 + 4*c to r + t*c**3 + z*c**2 + u*c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/((-3)\/18). Let r = -4 + p. Solve 4*m + r = -7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -8 - (-11 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:03 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904502.\nAnswer: 2, 17, 37, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*n + 84 = -3*n, 2*n = -y - 21. Let j be 7\/2 + y\/14. Put j, -1, 7 in decreasing order.\nAnswer: 7, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0 + 1\/2*q**3 + 0*q + 3*q**2 - 3\/16*q**4 + 1\/40*q**5. Factor u(m).\nAnswer: 3*(m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f - 1. Calculate v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 6, d: 1, r: 4, m: 2, l: 2}. What is prob of sequence urml?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416 and 142374.\nAnswer: 33600264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 101 = -5*x + 4*a, x + 14 = -3*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.19 (b) 1\/21 (c) -1 (d) -1\/3 (e) -6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3544, 7090, 10640, 14194, 17752, 21314?\nAnswer: 24880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 1 - 3*d**3 + 307*d - 72*d + 0*d**3.\nAnswer: -3*d**3 + 2*d**2 + 235*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1046672801 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000239297 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, s: 7, q: 7}. Give prob of picking 1 s, 1 d, and 1 q.\nAnswer: 245\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -18 + 66. Does 21 divide (d - 37)*(-2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-342)\/36)\/(2\/8). Let w be b\/(-10) - 12\/15. Put -3\/7, w, -2\/3 in descending order.\nAnswer: w, -3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 297425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 39*c + 18. Let s(z) = -z**2 - 10*z + 18. Let u be s(-11). Let w be v(u). Let b = w - 105. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1)\/((-2952)\/(-296) - 10). Suppose 127 + t = -41*h. Which is bigger: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - -110012?\nAnswer: 111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 779890.43 times -0.6\nAnswer: -467934.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3400 = -10125*d + 10159*d for d.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h = -325. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - 34\/(-10). Suppose -6*j + 15 = c. What is i in -1\/2 - i - 1\/2*i**j = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 33. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 2 v when four letters picked without replacement from mvmbmmvrrv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2310*r = 3*x - 2308*r - 6, r = -2*x - 0*r + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4250 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30.075. Let x = 0.035 - k. Round x to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {s: 1, p: 1, h: 1, o: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5\/3 - 11*b**4\/3 - 25*b**3 - 34*b**2\/3 + 92*b\/3 + 8 = 0. Calculate b.\nAnswer: -2, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c0 (base 16) in base 14?\nAnswer: -ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.950816 >= 458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*b + 57 = 0, -3*b + 15 + 10 = 2*l. Let x = l + -2. Solve k - 1 = -o, -2*k + 3 - x = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdtv when four letters picked without replacement from tpvkkpkkdtpvtdtkvd?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 7 = 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 487280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -164, 63\/4, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65296342*x - 3*x**2 + 38 + 65296317*x - 3 to the form r*x**2 + a*x + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39577525 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1061034 and 9613539?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 199594770 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 7. Suppose 13*o = 8*o + 100. Calculate the lowest common multiple of (b + 1)\/1 - -25 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 105*x**2 + 8*x - 7. Let b be q(3). Suppose 18*k - b = 5*k. What is the greatest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 178 - 165 = -47*o + 42*o, -3*n - 17 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = -m + 21*h - 41, -47 = 4*m - 3*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02557943 to five decimal places.\nAnswer: 0.02558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 8*v**2 - 13*v + 7. What is x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 1 g when three letters picked without replacement from {m: 1, n: 7, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 d when four letters picked without replacement from rrrrrurrrrdrurddrrrr?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h + 31 - 27*h - 29*h. Let l(a) = -16 - 4*a + 6*a - 6*a + 11*a + 14*a. Let g(f) = 11*l(f) + 6*z(f). What is the first derivative of g(t) wrt t?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19464 by 3.\nAnswer: -6488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 17 = -l + 3*w, -13 = -3*l + 4*w. List the prime factors of (25\/5 - l)\/((-3)\/(-109)).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-570)\/25)*(-6)\/(-15)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/60 - 5*j**4\/12 + 11*j**3\/6 - 2*j**2. Let n be y(9). Solve -5*r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 39*a - 11. Let f(x) = -x**2 - 19*x - 6. Let l(u) = -4*b(u) + 9*f(u). Find k such that l(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 122774\/(-69)*(-15)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {a: 1, u: 2, l: 11}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 15. Let g = u - 60. Sort 4, -9, g in decreasing order.\nAnswer: 4, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.353 or 2410?\nAnswer: 2410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 4439.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 + 62*k**2\/13 + 60*k\/13.\nAnswer: 2*k*(k + 1)*(k + 30)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -4 (c) 0.5 (d) -4.683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152522 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*v + 455, -7*v - 161 = -5*v + 5*w. Which is greater: -92 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**2 + 115*o + 5 - 50 - 26 + 1 = 0. What is o?\nAnswer: 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -29.2. Let f = 0.2 - o. What is the second biggest value in 2\/9, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0.04602, 0 in descending order.\nAnswer: 0.04602, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214 - -502. Let r = -286 + b. Suppose -3*h = h - 16. Solve -4*s + 0*s + 10 = -5*f, -h*s - 4 = r*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {n: 8, g: 1, p: 4, f: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1857603, 1857661, 1857719, 1857777, 1857835, 1857893?\n\"Answer: 58*n + 1857545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 121, -1, 4\/3 in ascending order.\nAnswer: -173, -1, 4\/3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -2648458485.\nAnswer: -2648458472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -124, -176, -228, -280, -332?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*b**3 - 290*b**2 + 1840*b + 9120.\nAnswer: -5*(b - 6)*(b + 4)*(9*b + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3951 in 4, 0, -4, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12331 - 2?\nAnswer: 12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16818*w**2 - 347*w - 16209430?\nAnswer: -33636*w - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021002211020011 - -1?\nAnswer: -10021002211020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48435773 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 10. Suppose 2*u + 0*u + 18 = 0. Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53\/252 - 1\/84. Which is the closest to i? (a) 3 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 1178 = 342 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60 - 29?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37297 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-24))**(-6\/7) assuming h is positive.\nAnswer: h**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80587509 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41614345417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/11 - 620*n\/11 + 618\/11 = 0.\nAnswer: 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31238 = r + 2*b + b, -31254 = r - b. Let a be 16*156*r\/4. Round a to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111060 or -111058?\nAnswer: -111058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 24*j + 3872. Let h = 739 + j. What are the prime factors of h?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/805 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31585 - 21448. Let s = 202681\/20 - m. Find the common denominator of (2\/(-16))\/(1\/(-39)) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 25 = 0. Suppose -2*o + 5*z = -3*o - 11, -5*z - 7 = 2*o. Suppose 12 = o*l - l, -3*i - j*l = -185. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14334 - -931678\/65. Calculate the common denominator of k and 31\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 28 = -g - 14, -2*g = w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*o - 65, 1726 = 2*q - 3*o + 1695 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 6*n + 1. Let b(a) = a**2 + 3*a + 1. Let k(i) = 5*b(i) - 3*g(i). Let f(p) = 4*p. Let y be f(-1). Calculate k(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/51 and 97\/1710.\nAnswer: 29070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 49, 10, 12, 4.\nAnswer: 4, 10, 12, 21, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 - -62. Let b = x - -48.016. Let t = b + -0.036. Round t to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from brb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + -1.856. Let v = 5.174 - 7.13. Let a = v - f. Sort a, 0, -3\/14.\nAnswer: a, -3\/14, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = o + 1, -3*o - 3 = 247*u - 241*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*p**2 + 55*p**2 - 1 + p**3 + 3*p)*(-3 + 5 + 4) to b + w*p**2 + n*p + i*p**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9, -4*c - c + 25 = -5*u. Solve o - h - 1 = c*o, 0 = -4*o - 5*h - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 65696\nAnswer: 26278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 13. Let y be (-11)\/((-11)\/(-7))*(-4)\/14. Solve -b*h + 14 - 5 = -5*t, y*h - 6 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1719*132311.\nAnswer: 227442609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10442878 is divided by 218?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002344366 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188392085 rounded to five dps?\nAnswer: -0.18839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4065411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53107300 divided by 1295300.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1119655767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.871552 times 1?\nAnswer: -1.871552","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.86 + 5.86. What is the third biggest value in 8, n, -5, 17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573578 is divided by 411?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhoooooohoohooho. What is prob of sequence hohh?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 48 - 27. Let t(v) = v**3 + 15*v**2 + v + 16. Let j be t(k). Which is the nearest to 1? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {u: 1, c: 1, l: 1, h: 2, m: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 7*k = 3*k + 24, 4*v - 899 + 897 = -9*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*o**3 + 28*o**3 + 35*o**3)*(-17 + 11 - 9).\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 187 = 7109. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9*z + 52 = 7*z, -5*l + 2*z + 276 = 0. Let q be l\/7 + (-15)\/5. Solve -1 = -q*a + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -79. Suppose -3*n = 3*c - 15, 4*n - 2*n + 5*c = 25. Suppose -9 = -n*u - 3*u. Calculate the highest common factor of u and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*h + 70*a**4 - 4*a**3*h - a**3 - a**2 + 58*a*h + 3*h wrt a?\nAnswer: -24*a*h + 1680*a - 24*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) + (-24)\/16. Let c = 2 + g. Solve c = -2*j + 6*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s + 2. Let p = -9 + 10. Let a be (-10)\/20 + 14\/4. Let m(q) = -1 - a*q + 0*q + 4*q. Determine p*u(t) + 3*m(t).\nAnswer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4938824.\nAnswer: 2, 11, 56123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i**2. Let b(g) = 8879*g. Determine b(y(z)).\nAnswer: 124306*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**3 + 89*m**3 + 6*m**3)*(-3 + 2*m + 3) + 20*m**4 - 9*m**4 - 13*m**4 - 25.\nAnswer: 162*m**4 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.47 - 56. Round k to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/77)\/((-91)\/(1276275\/(-375)))?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 3, m: 4}. Give prob of sequence gtm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose l = 3*z - 4 - 11. Suppose -3*h = -2*y - 3, -27 = -z*y - 3*h - 3. Solve s - y = -2*b - 0, 0 = -5*s - 5*b + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 21 + 5*p - 9*p + 29 - 14.\nAnswer: 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47950*p**2 - 3*p + 3*p - 4*p + 4*p.\nAnswer: 47950*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(384)*-2)\/(sqrt(128)\/sqrt(4)) - -2*(sqrt(3)*2 + 1 + -3 + sqrt(12))**2) + -2.\nAnswer: -36*sqrt(3) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 9*p. Let a be c(-9). Let y(g) = 28*g**3 - 1 + a*g**2 + 0 + g**2. Is y(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332235?\nAnswer: 5, 266447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3305*v**3 - 4*v**2 + 31*v - 1. Let c(m) = -9914*m**3 - 14*m**2 + 108*m - 3. What is -4*c(p) + 14*g(p)?\nAnswer: -6614*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*z - 19, 0 = -u + 2*z + 12. Let c(q) = -q + 15*q**2 + u*q - 2*q + 14*q**2 - 16 - q**3. What is the remainder when 89 is divided by c(29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1 + 18*b**2 - 435*b - 19*b**2 + 436*b. What is d(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 19*j**2 - 8*j + 17. Determine d(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872475555 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 1, r: 2, m: 1, t: 2}. Give prob of sequence qttl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17807.028 rounded to the nearest 100?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47 + 3 - 40*s**3 + 15 - 6 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100 - 144102?\nAnswer: -143002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 7*a - 6. What is b(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b264 (base 13) to base 4.\nAnswer: 331302103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-8) - (-41)\/2. Suppose 4*h + 8 = -0*h, 3*z - 4*h = t. What is the smallest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + 2.93. Let n be ((-6)\/8)\/(2 + 1). Let k be (-6)\/(-20)*16\/6. Which is the second biggest value? (a) n (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -74. Suppose 3*r + u = r. Let n(t) = -6*t**3 - 4*t - 1. Let p(i) = -7*i**3 - 5*i - 1. Let z = 7 - 2. What is r*p(m) + z*n(m)?\nAnswer: -2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*t - 3*w + 30 = 448*t, -24 = -4*t - 4*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -65*q**2 + 21*q. Let i(r) = -37*r**2 + 12*r. Let p(g) = 14*i(g) - 8*u(g). Let x(d) = -1429*d**2. Determine p(x(a)).\nAnswer: 4084082*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**0*y**(-3) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/9 + 1\/3*k - 1\/9*k**2 = 0. Calculate k.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12068*h**2 + 6014*h**2 + 5944*h**2 + (-2*h - 2*h + h)*(-h - h + 4*h) as p*h + g + n*h**2 and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -18, 859 in descending order.\nAnswer: 859, 0, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*q - 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -415. Let z = 416 - g. Solve -10 = -c - 4*c, 5*v = z*c + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13 = -2. Suppose m*n = 10*n - 14. Suppose -r - 4*o = -85, n = 2*o + 6. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-28) + (-190)\/14. Let v = 22 + g. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w = 3*h - 145, 0 = -7*h - 0*w + 2*w + 339 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14490, 14491, 14492, 14493?\nAnswer: 14494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l**(-3\/2))\/(l**2*(l\/((l**(-2)*l*l)\/l))\/l) assuming l is positive.\nAnswer: l**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*m**3 - 11\/4*m**2 + 0 - 1\/4*m**4 - 1\/4*m**5 + m.\nAnswer: -m*(m - 1)**3*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.8? (a) -0.3 (b) -4\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 947855.2 litres in millilitres?\nAnswer: 947855200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498.7 rounded to the nearest ten?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-18)\/98) + 965\/2895.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -442 + 3?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 7150. List the prime factors of k.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -20. Let z be (6\/p)\/((-2)\/(-6)). Let j be 0 - z\/(-6)*3. Solve 0*g - 2*h - j = -3*g, -4*h = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/9 + 36*m**3 - 13120*m**2\/9 - 36*m + 1458 = 0. Calculate m.\nAnswer: -1, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 5. Calculate t(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 4*a + 14. Suppose -4*w + 16 = 0, -5*c = -4*c + 2*w - 2. Let r be v(c). Let p be (1\/r)\/(3\/(-6)). Is p equal to 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 543*x**2 + 1067*x - 44. What is z(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03311377 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 2*v**2 - 3*v - 4. Let b be w(-2). Let y = b - 8. Let d(j) = -j**3 + 4*j**2 + j - 2. Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 8*s**2 + 12*s + 17. Calculate d(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.305 + -27.305. Sort 1\/11, -1.8, m.\nAnswer: -1.8, 1\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -284773105*m**3 + 60295176?\nAnswer: -854319315*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s. Let u(g) = g - 1 - 5*g**2 + 3*g**2 + 4*g**2 + 0*g. Let o be u(-2). Let y(l) = 3*l - o*l + 3*l. Calculate z(y(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7 - 2) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -14, -z + 635 = w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4270 and -11\/135.\nAnswer: 115290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 447 = -4*l, 0*l + 109 = l - 3*a. Suppose l - 1453 = -9*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 143091.\nAnswer: 1144728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200540 * -15.\nAnswer: 3008100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1093341 + 1094260.871. Let a = o - 920. Round a to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -952, -9, -5, 2, 14 in descending order.\nAnswer: 14, 2, -5, -9, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5 = 332*q - 327*q, -4*y + 5*q = 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 21, 46, 91, 162, 265?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10}. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/15 - 82*d**4\/5 - 8756*d**3\/15 - 23744*d**2\/5 - 12544*d\/3 = 0.\nAnswer: -56, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.902 + 0.102. Let u = -2.7999915 - o. What is u rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0 + 11\/96*o**4 + 0*o + 13\/80*o**5 - 1\/4*o**3 - 7\/240*o**6 - 3*o**2. What is v in l(v) = 0?\nAnswer: -1\/2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1129, -1130, -1131, -1132, -1133, -1134?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7285860 and 160?\nAnswer: 58286880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -157\/5104573?\nAnswer: -157\/5104573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose -5*w + 7*c - 2*c + 45 = 0, -2*w = -c - 14. Let m be 25\/30*1\/w. Is q not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-42) + -2082415*(-289)\/1785 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56577072 to the nearest integer?\nAnswer: 7522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(1\/4))\/v))**(3\/19))**(-14)\/(v**(3\/7)*v*v**(-1\/3)*v)**13 assuming v is positive.\nAnswer: v**(-23059\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 48 = 5*o. Let p be -1*3 + (-12 - -15). Suppose 0 = 4*s + b - 3, p = b - 2 - 1. Sort 2, o, s.\nAnswer: s, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**2\/2 - 53. Let s(k) = -68*k. Calculate s(p(c)).\nAnswer: -204*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*p + 18 = 0, 1 = 5*i + 3*p - 20. Suppose -7*r - i*r = -2821. What are the prime factors of r?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 16*j - 2*i = 8, j = 2*i. Solve j*g + 6 = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53822 + 107*f - 53830 + 107652.\nAnswer: 107*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c + 3. Let d be v(0). Let w(n) = -d - 15*n + 4*n - 3. Let k(p) be the first derivative of -2*p**2 - 2*p - 1. Calculate 8*k(m) - 3*w(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.82 and -8094.\nAnswer: -8098.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 311576.1us in seconds?\nAnswer: 0.3115761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439634.\nAnswer: 2, 13, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(-5)\/(5\/(-5))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 1 - -13 - -1) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356948 - 356949 - 26*v + 8*v - 10*v + v - 25*v.\nAnswer: -52*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/99 and -95\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2772 - 2766. Let j(q) = -q - 2*q + q**3 - 5*q**2 + 7 + 0*q**2 - q**2. Determine j(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 631 - 743. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -270*t + 536*t + 1 - 265*t. Let k(q) be the first derivative of 5*q**2\/2 + 6*q - 1. Let i(s) = k(s) - 6*v(s). Let z(d) = -d. What is z(i(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-2))\/1)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 2*v**2 + 0*v**2)*(-3*v + 5*v + 0*v + (3 + 0 - 5)*(4*v + 0*v - 6*v) - v + 0*v + 3*v + 3*v - 3*v - 3*v) as z*v**3 + b*v + w + y*v**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o - 1. Let n be p(-1). Let u(k) = -83*k + 184*k + 17 - 69*k. What is the units digit of u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n = 4*n - 858 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:24 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -96. Suppose 0 = -q - 3*q + 32. Let u = q - r. Calculate the remainder when 39 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23465835541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**4\/15 + 1082*j**3\/15 - 6416*j**2\/5 - 5016*j\/5 = 0. Calculate j.\nAnswer: -3\/4, 0, 22, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - (12 + -31)) + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttstssstttt. Give prob of picking 3 t.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6))**17*l**(-7)\/l*l**(3\/5)\/l assuming l is positive.\nAnswer: l**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irbbirkibrkoir. What is prob of picking 1 o, 1 k, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -11207964, -4 in decreasing order.\nAnswer: 18, -4, -11207964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 26. Suppose -6 = t - a. 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: (16\/((-16)\/(-2)))\/(56\/12)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 384\/7 - 3589\/63. Find the common denominator of 98\/392 + 0 + 203\/(-20) - 2 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtxxddidtiif. Give prob of picking 2 i and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.7 - 17.7. Put 280, 1\/2, g in increasing order.\nAnswer: g, 1\/2, 280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 - (182 + (-227 - -143))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.6611ml in litres?\nAnswer: 0.7166611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/728 and 53\/286454?\nAnswer: 14895608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -6, 0 in decreasing order.\nAnswer: 0, -6, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 591736323?\nAnswer: -591736324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*f - 2 - 488*f - 596*f + 2049*f - 492*f + 185*f**3.\nAnswer: 185*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11654*g**2 + 11647*g - 1. What is n(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*g + 4*g. Suppose -168 = -g*z - 5*a, 4*z - 84 = 2*z + 3*a. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-24)\/5) + -3. Suppose -5*q + 2 = 3*t + 7, -5*q - 4*t = 10. Suppose 3*u = 2*j + 5 - q, 0 = -2*u - 3*j - 11. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 7, s: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3042, -3044, -3046, -3048, -3050, -3052?\n\"Answer: -2*u - 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, i: 4, p: 6, e: 1}. Give prob of picking 1 e and 2 p.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1949, 3073, 4947, 7571, 10945, 15069?\n\"Answer: 375*y**2 - y + 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 53 (b) 0.3 (c) -4 (d) -993 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let u be d(-4). Suppose 5*y - y = -2*x + 88, -61 = -3*y - u*x. Calculate the remainder when 68 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2373 or 27372?\nAnswer: -2373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/7 - 44409*q**3\/7 - 197046*q**2 - 3560496*q\/7 + 712032 = 0 for q.\nAnswer: -28, -4, 1, 14834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10691 and 1436?\nAnswer: 15352276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*j - 2\/9*j**3 - 2\/3*j**2 + 0 = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) -2\/3 (c) 0.2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:32 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/7 + 1454787*c**2\/7 + 176289244416*c\/7 - 18879608684004\/7 = 0.\nAnswer: -242518, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -p - 3*b, 5*b - 1 = p + 18. Suppose p = -j + 18. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -2*j + 1000, j = -5*s + 480. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -3, 3, 9, 15, 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100760022 divided by 3?\nAnswer: 33586674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = -0*t, 5*c - 1 = 4*t. Let x(i) = i**2 - 10 - 4*i**2 + 2*i**2 + 8*i. Let o be x(7). Put c, 5, o in decreasing order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*2 - 1. Suppose -4*o - 32 = -s*o. Let x = o - -45. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6643 + 0.3357. Let z(h) = h**3 + 6*h**2 + 5*h + 2. Let t be z(-5). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbpp. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -3234.\nAnswer: -3234.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2336680, -2336587, -2336492, -2336395, -2336296, -2336195, -2336092?\nAnswer: -2335987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110536 and 19352?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 5. Let v be q(-6). Let u = -18 + v. Suppose 0*z = u*z - 1435. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27 + 21 - (-4 - -3)) + (192\/44 - -3). Suppose -j*r**3 - 94\/11*r + 2\/11*r**4 - 32\/11 - 90\/11*r**2 = 0. What is r?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 6*a**2 + 5*a**2 + a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3323 (base 4) to base 8.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + (1*(sqrt(128) - (4 + sqrt(128)*-1)) - 5*(-3 + -2*sqrt(128)))))**2.\nAnswer: 12096*sqrt(2) + 166329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-52))\/((-1)\/(-4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -5, 0, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:52 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*a - 8 - 20, 88 = 5*a - p. Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - 7. Let r be c\/14*(11 - 1). What are the prime factors of (-3)\/(-15) - 74\/r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 3*v**4 - 17*v**2\/2 - 13. What is the second derivative of b(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.9179107 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 161*y**2 + 566*y - 9748. Calculate t(-157).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 + 13*f + 1. Let h be x(-4). Let p(l) = -95790*l - 10. Let v be p(h). What is v rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Let d = -0.05 - -0.25. What is the third smallest value in -3\/5, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -159*w**2 - 931*w + 977. Determine q(1).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14*b*b\/((b*b**(6\/7))\/b) assuming b is positive.\nAnswer: b**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 7*u**2 + 7*u. What is f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) -2\/425 (c) -0.0778 (d) 3 (e) -5 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990007 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -210301?\nAnswer: -210231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 208. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2, i: 1, b: 2}. What is prob of sequence abq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 32 = 2*a, 5*k = -a - 0*k + 2. Suppose 2*s - 7 = -3*m, 3*s + 3 - a = -3*m. Suppose 0 = n + 2 + s. Is -5 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1332?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2383 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 3643\nAnswer: -8\/3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104 - (196 + -38)) + -7.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2. Let y be 4 + (-34)\/10 - (-8)\/(-5). Calculate h(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997315.\nAnswer: 5, 7, 19, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/28 and -93\/10214.\nAnswer: 142996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101\/2 + -52. Let q = 0.02 + -2.02. Let y be 2\/(-5) - 110\/(-25). Which is the closest to q? (a) y (b) k (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 3. Let w(s) be the first derivative of -s**5\/40 - s**4\/12 + s**3\/3 - 4. Let f(o) be the third derivative of w(o). Give 3*f(b) + 2*x(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 53. Calculate the remainder when 23 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -616, -464, -312, -160?\n\"Answer: 152*j - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19212 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8382639*c**3 - 58448021 wrt c.\nAnswer: -25147917*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-14) - 85\/(-70))*12\/30. Which is the fourth smallest value? (a) 3 (b) 2\/3 (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39013.071 - 0.5\nAnswer: -39013.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96373\/21 at most as big as 4589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 342 + 120 = 0. Let q = -21 + 25. Suppose -60 = -4*j - q. Calculate the greatest common divisor of j and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8112)\/1782 + 6 + 2\/11 and 2\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = 1. Suppose 0 = 4*u - 4*l - 24, 20*l = -5*u + 24*l + 27. Put p, -4, u, 4 in increasing order.\nAnswer: -4, p, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 14. Suppose 6 = -13*r + 10*r. Put r, -5, h in descending order.\nAnswer: r, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/5)*q)\/(q\/(q**3*q)))**(-46)\/(((q*q\/(q\/(q*q**(-1\/2)))*q)\/(q\/(q\/(q\/q**(2\/5)))*q))\/(q*q**(-2)*q\/q**(-4))) assuming q is positive.\nAnswer: q**(-2177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*d - 3*x + 9, 0 = d - 2*x + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 52*d = -g + 40, 6*g = d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000951781542 to six dps.\nAnswer: 0.000952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 388, 401, 440, 517, 644, 833, 1096?\n\"Answer: 2*c**3 + c**2 - 4*c + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**5 - 4*a**4 - 4*a**3 + 4*a**2 + 3*a. Let s(t) = -2*t**5 - 5*t**4 - 5*t**3 + 4*t**2 + 4*t + 1. Let d(m) = -2*s(m) + 3*v(m). Factor d(k).\nAnswer: (k - 2)*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(891)*1 + 0 + (4*(sqrt(891) + 1 + sqrt(891) + sqrt(891)))**2).\nAnswer: 873*sqrt(11) + 128320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*s = 1, 8*m = 6*m + s + 29. Solve -44 = 8*d - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + -6 + 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from onmngwgwgn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-180)\/80)\/(3\/(-76)). Solve 53*s - 16 = o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 5\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5345160 + 16?\nAnswer: -5345146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 t when three letters picked without replacement from gppzhthgs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 280379 times 3?\nAnswer: 841137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 90*m - 1344. What is j(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35095 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v - 126 = 12*v - 0. Let p be 3\/((-2)\/(-764)*3). Suppose -v*u = -5*k - 1104, 0 = u + 3*k - 0*k - p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*(-6)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728 is divided by 1236?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2288*k + 2265*k - 69 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 8 - 12)*(h**4 + 51*h**2 - 96*h**2 - h**3 + 46*h**2 + 1) as b*h + s*h**4 + n + a*h**2 + c*h**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11392.971 microseconds in minutes?\nAnswer: 0.00018988285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 4*n + 3*n - 2*n + 3*n + 2 + n + (-16*n + 7*n - 6*n + (2*n + 2 - 2)*(-2 + 2 + 2))*(5 - 2 - 1) as g*n + t and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8745b - 1?\nAnswer: 8745a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 55 - 485 = 0. Let c be (-1)\/(-2) - f\/(-30). Let t(v) = v**3 + 4*v**2 - 5*v - 19. Let r be t(-4). Put -5, r, c in increasing order.\nAnswer: -5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4 + 6. Suppose 8*g - 16 = -8. Put o, -6, g in ascending order.\nAnswer: -6, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 + 7*r**2 + 6*r - 8. Let u(k) = -5*k**3 - 8*k**2 - 7*k + 9. Let z = 5 - 12. Let m = 7 - 13. Calculate m*u(o) + z*i(o).\nAnswer: 2*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13311 + -4?\nAnswer: 13304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 23 = -2. Let t = i - -1. Solve 5*l - 14 = 2*j - 6, -j - 5*l = t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-78)\/(-8) - (-18 - -7) and 44\/357.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 7498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11550 = -58275*h + 58000*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 - 1923822*z + 230859792\/5 = 0.\nAnswer: -4809579, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -119. Let a be 6\/(496 + 2)*c. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h - 16. Let d(y) be the third derivative of -y**4\/8 + 6*y**3 + 3*y**2 + 31. What is the tens digit of d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741.017 nanometers in micrometers?\nAnswer: 2.741017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f - 12. Let m be z(4). Suppose l - 8 = -2*q, -5*q + m = 5*l - 2. What is the remainder when 28 is divided by q\/(38\/48 + (-8)\/12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 6:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 211\/133?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6856960 and 3\/85712?\nAnswer: 6856960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 362, 360, 356, 350, 342, 332, 320?\n\"Answer: -c**2 + c + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 20 - (0 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2842 and 1133552?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36607*g**5 + 63*g**3 + 2*g**2 - 18346*g - 110 wrt g?\nAnswer: 732140*g**3 + 378*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -63*s**2 + 7*s + 8. Let p be m(-1). Let j = p + 101. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**37\/v*v**40\/v assuming v is positive.\nAnswer: v**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14122 - -3?\nAnswer: 14125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11845257 and 141.92.\nAnswer: -11845115.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 436.4726 centuries?\nAnswer: 43.64726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -42. Calculate the lowest common multiple of -3*6\/36*-24 and v.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51753289 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -376*i - 197. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 10?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 3, a: 3}. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20115 and 26623767?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:51 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 622. Suppose -16*l - 3384 = -20*l. Let q = l - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 5*u)*(-769 - 8804 + 2181)*(3*u + u - 6*u).\nAnswer: -29568*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -27, -69, -137, -237, -375, -557?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from zucac.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130602457 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 25*q + 49. Let z be r(31). Let w = 1818 - z. What are the prime factors of w?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -8*n - 6. Solve -5*d + 3*d - 5*l = -29, n*l = -3*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 248 = a - 244, 48 = -5*m - a. Let t(v) = v**3 + 5*v**2 + 2*v + 2. Let f(l) = 4*l**3 + 24*l**2 + 11*l + 11. Determine m*t(p) + 2*f(p).\nAnswer: -3*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76889516 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*p + 19, 2*o + 1 = p - 0*p. Suppose -p = -6*g + 1. Let d(z) = -z**3 - 2*z**2 + 3*z + 5. Let m be d(-3). Solve m*y - 4 = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4022674 is divided by 1332.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 10*o**2 + 11*o. Let i(m) = -m**2 - m - 3. Let h be i(0). Let r(t) = -3*t**3 + 9*t**2 - 10*t + 1. Let y(j) = h*r(j) - 2*l(j). Give y(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -4.234?\nAnswer: -12.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**9\/252 - 211*p**8\/336 + 8*p**5\/5 - 5*p**3\/6 + 63*p**2 - 3. Find the third derivative of v(q) wrt q.\nAnswer: 240*q**3 - 12660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 678 - 24 - 1437.\nAnswer: 9*g**3 - 2139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 3 = 4*o - w, -2*w + 111 = 5*o. Suppose 7 = -4*l + o. Solve -5*y - 25 = l*t, 0*y + 5*t + 26 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.131 + 6.6542. Let i = -0.3248 - n. Round i to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4827240 by 2915.\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113523901 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 11. Let o(r) = -4*r + 10. What is -4*o(p) - 3*q(p)?\nAnswer: p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 177*j**3 + j**2 - j + 1. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, -275, -1289, -3333, -6743?\nAnswer: -11855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -0.4, 3.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 13*p = -15*f - 6*p - 9, 23 - 34 = -5*f + p + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13329766 is divided by 684?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140803 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/919231 or 1?\nAnswer: 38\/919231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 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: Let h(c) = -16*c**2 - 23 + 27*c**2 + 5 - 6*c**2 - 7*c**2 - 20*c. Let l(u) = 6*u**2 + 60*u + 54. Let p(x) = 7*h(x) + 2*l(x). Find b, given that p(b) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 382 and 28772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 + 4*a**2 + 2*a + 6. Let r(b) = b**3 + b**2 + b + 1. Let j = -4 + 6. Let p = j - 3. Determine p*l(f) + 4*r(f).\nAnswer: -f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013328411 rounded to 4 dps?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) 0.11 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(79\/(2370\/(-100))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 3 + 2*r**2 + 13*r**4 - 6*r**4 as n + c*r**3 + h*r**4 + d*r**2 + t*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00075 - -3.99925. Let y = 2.1 + -0.1. What is the nearest to 8\/7 in d, -3\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/11)\/w**6)\/(w\/w**(-4)*w*w**(1\/2)))**(1\/45))**(-20) assuming w is positive.\nAnswer: w**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**3 - h - 3*h**3 - 8*h**3 to the form x + o*h + a*h**2 + l*h**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1628 - -2068. Calculate the greatest common divisor of 396 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 2. Suppose 0*a - 2 = 2*a. Let p(u) = 1170*u - 1169*u - 1 + 2. What is a*y(k) + 3*p(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 70*j**2 + 12*j + 843. Calculate b(-70).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001492841 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8*r + 7*r = -8, 5*m - r = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -824*g**6 - 80*g**4 - 5*g**2 + 15807*g wrt g.\nAnswer: -98880*g**3 - 1920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((4 + -9 - 4) + 21 + -14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 1549590.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 - -6.6. Let s = -0.4 + 0.2. Is s bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 671 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*w - 22, 22 = 5*s + 2*w + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vnvnnmnm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 61. Let k be 25\/(x + -3) - -7. Suppose -w - 1\/2 - 1\/2*w**k = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let g be j(2). Let q(z) = -15*z**3 - z**2 - 4*z + 1. Let v be q(g). Suppose -6*l = -3*l + k - 421, 0 = 3*l - 2*k - v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*s**3 + 28*s**3 - 48*s**3.\nAnswer: 148*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 29 + z - 14 - 13. Let k be t(0). Sort 0, k, 4, -2 in descending order.\nAnswer: 4, k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6 - (22 + -23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1883726, -7534916, -16953568, -30139682, -47093258, -67814296, -92302796?\nAnswer: -120558758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -6 - (1 + -3)) + -4 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 - 113*d**2 + 198*d + 373831 wrt d?\nAnswer: -8*d**3 - 226*d + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115 + 33 = 7*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 37 + -4 + -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1275636 (base 8) to base 12\nAnswer: 153b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/20)\/((-1)\/(-2)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 18396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2. Let w(n) = 92*n - 4. Calculate 2*a(p) + w(p).\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 0*j + 0*j + (-j**3 - 6*j**3 + 11*j**3 + j)*(1 + 3 + 3).\nAnswer: 26*j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/((-2)\/6). Suppose -1538*a + 1536*a - 3*b = 47, -4*b = -3*a - 96. Let q = w - a. What is the highest common divisor of 130 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/14528 and -55\/146188.\nAnswer: 2339008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) + (-26)\/(-10). Is h < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 - k. Let q(w) = w**3 - 11*w**2 - 2*w - 8327. Let j(i) = q(i) - 3*z(i). What is the derivative of j(y) wrt y?\nAnswer: -6*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42970693 + 2.57029355. Let w = -5 - -8. Let g = h - w. What is g rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/15 + 83*x**4 - 41334*x**3 - 111*x**2 + 2*x. Factor b(d).\nAnswer: -4*(d - 249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5, 2*y + y - u - 43 = 0. List the prime factors of (y - -21)*(0 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - (1 + -1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/21 + -277\/987. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505071899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -5\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 + (4 - 3 - 3)*(-3 + 1 + 0) + 1 - 2 + 4)*(-2*n**2 + 3*n**2 - 2*n**2) + (-24 + 184 - 15)*(-2*n**2 - 3*n**2 + 3*n**2) - n**2 - 2*n**2 + 2*n**2.\nAnswer: -296*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1522, 2658, 3794, 4930, 6066?\n\"Answer: 1136*w + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20664, 82692, 186088, 330852?\n\"Answer: 20684*o**2 - 24*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 + -98. Let a = 81 - f. Does 3\/7 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361700 rounded to the nearest ten thousand?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 619365 and 8635?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5972.3 times -0.192?\nAnswer: 1146.6816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 11*t - 408. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101120103003 (base 4) in base 10?\nAnswer: -4555971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1624 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbvaababvbbbbb. Give prob of picking 2 v and 2 b.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4493463.231 to the nearest one thousand.\nAnswer: 4493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -m - m. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, -57, 3 in ascending order.\nAnswer: -57, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4*20)*-2. Let f = u + -90. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p + 3. Let t be m(3). Suppose -a - 14 = a. Let j = a + t. Calculate the least common multiple of 14 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -9*h**2 - 3*h + 13. Let t(p) = 4*p**2 + 2*p - 6. Calculate -3*q(n) - 7*t(n).\nAnswer: -n**2 - 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.034, 3, 9?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 4\/943657?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*t**4 - 15*t + 395 wrt t?\nAnswer: -156*t**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 930 = 0. Suppose -2*a = -3*a - 5*s - 215, 0 = -2*a - 4*s - 424. Let f = v + a. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-567)*-84 - -37.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*r = -516*r + 575560. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621 + 598 = 23*w. Which is the closest to w? (a) 4 (b) -3.5 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 48. Let j(f) = -7*f + 95. Let a(c) = 21*c + 429. Let x be a(-20). What is the least common multiple of v(0) and j(x)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 - -312.2. Put -2\/9, 3, s, -0.4 in descending order.\nAnswer: s, 3, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**5 - k + 1\/6*k**4 + 0 + 1\/30*k**6 + 0*k**2 + 0*k**3. Find the third derivative of f(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdr when three letters picked without replacement from {d: 1, h: 3, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34528 + -17015. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = w + 2328. Does 4 divide w\/(-10) + 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 - 91. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -0. Suppose -4 = 4*d - 0*d, -9 = -2*m + 3*d. What is the first derivative of -5 + m + f*i**2 + 0*i**2 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907118.\nAnswer: 2, 453559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, l: 2, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12\/5))**(-2\/3)*q**16*q**(6\/19) assuming q is positive.\nAnswer: q**(1702\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1661, 3323, 4985, 6647, 8309?\n\"Answer: 1662*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30615611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12178753 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = -19*k - 40. Suppose r - 7 = -z, -3*r + 3 = z - k. Solve 11 = 4*m + 4*s - z, 0 = 5*m - 2*s + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65100000 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + 1 + sqrt(13) - 4*sqrt(832))**2 + -3 + (2*sqrt(104))\/sqrt(2).\nAnswer: -116*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*v + 46*v + 36. Suppose 29*z + v = 35*z. Suppose 12 = z*n + 2*k, 16 = 7*n - 2*n + 2*k. Solve -20 = 7*l - n*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(44))**2 + ((sqrt(64)\/sqrt(4))\/sqrt(8))**2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103311 (base 4) in base 6?\nAnswer: 5513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**5\/65 - 7*a**4\/26 - 8*a**3\/13 + 176*a**2\/13 - 640*a\/13 - 23. Factor s(p).\nAnswer: 2*(p - 4)**3*(p + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Solve 2*y - 15 = -o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19286.2 and 0.02.\nAnswer: 19286.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:27 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + 4*(sqrt(143) - (sqrt(143)*-5 + sqrt(143) + sqrt(143) + sqrt(143))) + sqrt(143))\/sqrt(11)*6.\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4) - 0)\/(5670\/(-41580)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y\/(y*y*y*y\/y**(2\/7))*y*y**(2\/13)\/y*y*y**(1\/9) assuming y is positive.\nAnswer: y**(-6920\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -32, -96, 2, -5.\nAnswer: -96, -32, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 51*s - 22. Let x(p) = -105*p + 46. Let v(l) = -13*m(l) - 6*x(l). Let t be v(0). Solve 0 = 3*n - 9 - 6, n + t = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 6365190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -176*327\/17440*(-10)\/4?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + 10\/(-4))*(-20)\/(-3) and -2\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438522 is divided by 92.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 9. Let h(q) = q**2 + 6*q + 3. Let s be h(j). Sort s, -4, 2 in descending order.\nAnswer: 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 + 1046*w**3 + 15*w + 7?\nAnswer: -40*w**3 + 6276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 16*o - 19*o + 58, -3*r - 3*o + 84 = 0. Let x be (2\/6)\/((-6)\/(-18)). Let l be (7 + (-1)\/1)\/x. Solve l = -5*v + r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 1493*b**4\/4 + 2*b**2 + 99*b - 1843. Find the second derivative of x(p) wrt p.\nAnswer: 8958*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 2424*q**2 + 44532*q - 46960.\nAnswer: 4*(q - 1)*(q + 20)*(q + 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 1896966.\nAnswer: 3793932","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 19*i + 8216. Calculate y(-69).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {c: 6, l: 9, v: 1, x: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from osowosswawowqq?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8935828, -8935837, -8935840, -8935837, -8935828, -8935813?\n\"Answer: 3*o**2 - 18*o - 8935813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 5. Let g = -13 + 21. Let a be u(g). Sort a, 1, -2 in descending order.\nAnswer: 1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 + 15*z**4 - 56*z**3 + 56*z**2 + 48*z - 80 = 0?\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*u**3*y**2 + 20*u**3*y + 449*u**2 + u*y**2 wrt u.\nAnswer: -384*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-44)\/(-10) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279 - -279. Let o(d) be the second derivative of 3*d + 1\/165*d**6 + j - 1\/33*d**4 + 1\/110*d**5 + 0*d**2 + 0*d**3. Find v such that o(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66634, -66618, -66586, -66532, -66450?\nAnswer: -66334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 65966 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 1) + (0 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1233 and 791082?\nAnswer: 108378234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258981997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/795950 and 11\/285.\nAnswer: 45369150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2827)\/(-12))\/(-11) - (40067\/412 + -99).\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 186946.\nAnswer: -63\/93473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 216723626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -316 (b) -1 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -27 (c) -43 (d) 0.5 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*i*l**3 + 2*c*i*l - 2*c*l**3 + 3*c*l**2 - c - 278*i*l**3 - 6*i*l**2 wrt l.\nAnswer: -6*c*i - 12*c - 1668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 149*a + 446. Calculate the remainder when 20 is divided by o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*c - 233, -38*p + 43*p - c = 249. Calculate the remainder when 1173 is divided by p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417962.\nAnswer: 2, 1708981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 2*t + 15. Let f(k) = -7*k**2 + 6*k + 42. Let d(m) = -4*f(m) + 11*x(m). Determine d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -1. Let s(z) = -3*z**3 + 4*z**2 + 4*z - 4. Let w(h) = 9*h**3 - 11*h**2 - 11*h + 11. Determine b*s(p) + 4*w(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n + 19*n - 1063 = 28*n + 584 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/6)*n**(5\/2)\/n)**(16\/7))**(1\/25))**24 assuming n is positive.\nAnswer: n**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 14*f**2 + 4*f - 3. Let d be q(2). Let y = 136 - d. Suppose 4*v = v + y. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 + 16*p - 88. What is z(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -551800 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/(d**(-3)*d)*d\/d**(1\/4)*d*d*d*d\/d**(-2))\/((d**(-1))**(-2\/43))**(-1\/10) assuming d is positive.\nAnswer: d**(2369\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/12 + 20*u**2. Let o(i) be the second derivative of -i**3 + 6*i. Calculate o(m(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 2*d - 133.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 18*u - 7. Let r be y(-15). Suppose -1468 = 36*x - r*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**35\/(h**2)**38 assuming h is positive.\nAnswer: h**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1599, 1715, 1831?\nAnswer: 1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -24, -69, -132?\n\"Answer: -9*c**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818, 1957, 3298, 4841, 6586?\nAnswer: 8533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79431023587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-14) + -19 + 8 + 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.94. Let c = u + 3.06. Let m = -8.7 - -9.7. Which is greater: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1220 or -1221?\nAnswer: -1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f + 2. Let v be u(2). Suppose 2*c = 4*c - v. Let p(q) = q**2 + 2. Let l be p(0). Solve -c*m + 1 = -r - 3, -2*m + l*r + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, 1 q, and 1 r when four letters picked without replacement from ryyrqfkt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8*p + 28 = 0, -t - 29*p = -28*p + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*m**4 - 49150*m**2 + 24202457*m + 1?\nAnswer: 1104*m**2 - 98300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c + 3 - c**2 - 1\/4*c**4 + c**3. Factor d(s).\nAnswer: -s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7309252 and 32018?\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*k**2 - 1372*k**2 + 524*k**2 - 1768*k**2.\nAnswer: -2204*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z + 10. Give g(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -22751.0732.\nAnswer: -22749.0732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 6, f: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(363) + sqrt(363))**2 + 0)*2.\nAnswer: 352*sqrt(3) + 2936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 2, h: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*d - 2*f + 92, -61*f + 35*f - 51 = -6*d - 29*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6996 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*n - 13 = 0, -3*g + 48 - 56 = -g + 2*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*w = 124, 0*w - 283 = -2*b - 3*w. List the prime factors of b.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2599145472 and 10988.\nAnswer: 10988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + m**2 + m. Let b(r) = 14*r**4 + 49*r**3 + 37*r**2 + 5*r. Let p(v) = -b(v) - 3*s(v). Factor p(d).\nAnswer: -2*d*(d + 1)*(d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15452 and -15499 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423004286.\nAnswer: 2, 211502143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**32*y*y**(9\/4) assuming y is positive.\nAnswer: y**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2727 = -215*m + 1124*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-98*q - 16*q + 20*q) - 8*q + 11 - 11.\nAnswer: -102*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - (3 + -1) - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5\/3, 0.0618, 3, -5 in descending order.\nAnswer: 3, 0.0618, -5\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, -5 in increasing order.\nAnswer: -14, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*d - 1 - 8, -3*d = 4*l - 31. Let a(c) = -c**2 + 10*c - 15. Let f be a(l). Let i(b) = 7*b**2 - b. Let j be i(-1). Which is greater: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1151, 3803, 8245, 14477, 22499, 32311?\n\"Answer: 895*d**2 - 33*d + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9118 + 45593\/5. What is d in -k*d**2 + 2\/5*d**3 + 2\/5*d - 1\/10*d**4 - 1\/10 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 8 = h, -5*y = -4*h + 5. Suppose 5*j = -2*w - 99, -2*j + y*w = 2*w + 45. Let k = j - -40. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s - 3465. Let j = s + 1882. Suppose -3*r + 1880 = -2*t + 129, -2*r = 3*t - j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1081138 by -2474.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/7 + 6012*s - 84180\/7 = 0. What is s?\nAnswer: -14030, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/((-6)\/1359). Let h = z - -635. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658 + -658.5. What is the nearest to 0 in 2\/59, 4, d, 2\/3?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 28185\/855)\/(6\/21 - 50\/126).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Solve -14*z + h*z**3 + 15*z - z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 27*h + 5. Let o(f) = -14*f - 3. Let j(z) = 7*o(z) + 4*r(z). Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 2*h**3 - 3*h**3)*(-1 - 3 + 3)*(-2*h**2 - 6*h**2 + 2*h**2).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -47. Let p = k - -29. Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-120)\/21) + 8\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -64. Factor -4\/5 - 2\/5*t**s + 6\/5*t.\nAnswer: -2*(t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -1\/2*c**4 - 5*c**3 + 25 + 0*c + 9*c**2. Find the second derivative of q(b) wrt b.\nAnswer: -12*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -75091*j - 1. Let a(y) = 477*y - 4. Determine k(a(q)).\nAnswer: -35818407*q + 300363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342221410 (base 5) to base 12.\nAnswer: 6156a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(9\/(-2)*(-1)\/(-3)). Suppose -c*m = -4*m - 2*d + 186, -5*m - 2*d + 471 = 0. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -11*c + 1\/20*c**5 + 1\/2*c**3 + 0*c**2 + 1\/3*c**4 + 0. Solve r(m) = 0 for m.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from uygyu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 6 + 6)*(4*i + 2*i**4 + 0*i**2 + 0*i**2).\nAnswer: 14*i**5 + 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21254507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 2*p - 7. Let f be (-2 - -5)*(-10)\/6. Let s be j(f). Solve 8*r + 3*h = s*r, 0 = 2*r + 4*h + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.49988 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*r - 47, 3*r - 31 = -4*n + 6. Suppose z = x - 4*z - 188, 4*x = 2*z + 662. What is the remainder when x is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((207\/(-1))\/69)\/((-2)\/(-10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*r + 5*b, -61*b + 56*b = -5*r + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 3.6. Let z = -1.7 - -0.6. Let w = z + 0.1. Which is the closest to 0.1? (a) w (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -5) + ((-12)\/(-54) - (-1435)\/(-180)). Put 3\/5, 0.5, u, 17\/5, 0.2 in decreasing order.\nAnswer: 17\/5, 3\/5, 0.5, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a**2 - 3*a - 1. Let g be 24\/(-16) - 2\/4. Determine h(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028942295 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fd955a3 - 4?\nAnswer: -fd955a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -183\/5. Let s = 2830 + -2833.902. Let m = 0.098 - s. Which is the closest to m? (a) -0.5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -700981.3438.\nAnswer: -700981.3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-1)\/(75\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6227, -24937, -56127, -99797, -155947?\nAnswer: -224577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + r**2 + 0*r**2 - 1 + 2. Let a(i) = -3*i**3 + 2*i**2 + 2*i + 2. Let t = -871 + 872. Calculate t*a(l) - 2*x(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsziisssiiziizz. What is prob of sequence zi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 14\/19 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 8*k**2 + 4*k + 9. Calculate r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 670896, 1341790, 2012686, 2683584, 3354484, 4025386?\nAnswer: 4696290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/2529879 and -77\/10788?\nAnswer: 293465964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 2*b - 11. Let z be t(9). Let u = 184 - z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 6*i - 21131*i**2 + 21130*i**2 + 26 + (-5*i**2 + 5*i**2 + 3*i**2)*(0 - 2 + 3) as r*i**2 + t + l*i and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27 + 16 - w**2 + 12*w - 18. Let a be l(8). Suppose 5*p - 4*q = 905, 5*p = -q + a*q + 895. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 8*c - 15. Let n be z(-2). Suppose -n*a + 47 - 22 = 0. Solve -q + a = 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (18 - 74) - 29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4131245 is divided by 651?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 919 (b) 0.23 (c) 0 (d) 79 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4\/5, -0.3, 0.553 in ascending order.\nAnswer: -4\/5, -0.3, 0.553, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 8. Suppose -10 - 22 = 2*w. Let k be 60\/w + 1\/(-4). Let j be n(k). Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*f**3 - 3868*f + 448*f**3 + f**2 - 6*f**5 - 129*f**3 + 2*f**5 + f**5 wrt f?\nAnswer: -180*f**2 + 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 6*y**2 + 0*y - 6*y**2 + 2*y**2 - y**2 + 2*y**2 - y + y + (2 + 3 - 3)*(-3*y**2 + y**2 + 4*y**2) + y**2 - 1 + 1.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17 + 4 + 8 + 6 - l. Let n(i) be the second derivative of 5*i**3\/3 - 11*i**2\/2 - i. Calculate 22*j(b) + 2*n(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 4*b**2 + 0*b**3 + 0*b**3 + (-b**2 + b**2 - b**2)*(b + 4*b + 0*b) - 126*b**3 + 151*b**3 - 126*b**3.\nAnswer: -105*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38370903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v**5 - 5 + 1\/33*v**4 - v + 0*v**3 - 1\/11*v**2 - 1\/165*v**6. Let j(h) be the first derivative of a(h). Factor j(c).\nAnswer: -2*(c - 1)**2*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (23 + 39 + -34)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -172. What is the remainder when w is divided by 1 - -30 - (-48)\/(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 2 + z - 12*z**5 + 11*z wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(-2)\/(-1). Let j(r) = -11*r - 1. Let q be j(h). Calculate the greatest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**10\/n*n**(-1\/9)*n*n*n**(5\/3)*(n*n**(-5))\/n assuming n is positive.\nAnswer: n**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1328, 1261, 1192, 1121, 1048, 973?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -4. Solve -4*l = 5*y + 1 - 4, -y + f*l = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.04, -1\/9, -1\/14, 6 in increasing order.\nAnswer: -0.4, -1\/9, -1\/14, 0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 26.00370065\nAnswer: -26.30370065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 275?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*k + 2 + (3 - 2 - 2)*(-14 + 14 - 26*k))*(0 + 1 - 4).\nAnswer: -87*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2503 + 22?\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 9*v**2 + 2*v + 13. Let z be k(-9). Let t(u) = 234*u - 1346. Let h be t(6). Sort h, z, 2 in decreasing order.\nAnswer: h, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Let l(r) be the second derivative of -5*r + 1\/6*r**4 + 0 + 4*r**2 + i*r**3. Differentiate l(g) with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + -6)*1\/(-3). Suppose -3*z = 3*j - 9, z - 6 + 3 = 3*j. Solve -f*n = 3*g - 25, -z = -n - 5*g + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -29 (b) 13\/6 (c) 2\/9 (d) 1\/20 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1557 (base 8) to base 14.\nAnswer: 46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586673 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -4*x - 4*k + 34, -4*x - 18 = -k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/47, 2, -4 in decreasing order.\nAnswer: 2, -1\/47, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f - 58*f + 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {r: 5, k: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4\/a)\/a**(-18))**(-2\/7) assuming a is positive.\nAnswer: a**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*a - 60. Suppose 3*v + a*f = 4*f - 6, -3*v - f = -6. Suppose o = -v*o + 1972. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7107.\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10088370 and 15132555.\nAnswer: 30265110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26 = -j + 4*v, -2*j - 29 = -5*v. Which is the closest to 1\/3? (a) j (b) -2\/5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -5861.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let q = 40 - 12. Suppose 27 = 11*o - q. Solve 2*i + a - b = 0, 29 = -o*i + 5*a + 69 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47698 divided by -14.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 4\/3*d**3 + 3 + 1\/2*d**4 + 0*d + 0*d**2. What is the third derivative of l(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(5\/6)))\/(j**(-7\/6)*j) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49570660 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 15 = 5*r. Suppose h - r = 3*v, -v + 2*h = 9 + 1. Which is the smallest value? (a) -2 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70267, 140384, 210501, 280618, 350735, 420852?\n\"Answer: 70117*g + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26619 divided by -57?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 34 = 4*u + 6*s, 2*u - 12 = 2*s. Solve -9*h + 7*h + 8 = d, h - u = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 - 11110011101?\nAnswer: -11111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*z**2 + 342*z**2 - 226*z**2 + 971*z**2 + 865*z**2 + 1.\nAnswer: 1740*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -17, 18, 87, 202, 375, 618?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 986568 + -493463. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114225 (base 6) in base 2?\nAnswer: 1101110101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 3\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 304*m**4 + 8640*m**3 + 108800*m**2 + 512000*m.\nAnswer: 4*m*(m + 16)*(m + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 12598943 and 12598940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3336 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 11*a = -24. Let b = 196 + -195. Let g be b + (-22)\/a + (-15)\/(-45). Solve 0*v = g*h + v + 25, -3*v = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:52 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 914 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1357, 18, -50, 4 in descending order.\nAnswer: 18, 4, -50, -1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.8708 rounded to one decimal place?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-24) - -6) + (-21)\/15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)\/i)\/i)**(-5\/12)*(i*i*i**5*i)\/i*i**2\/i assuming i is positive.\nAnswer: i**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let n be (j\/2)\/(2\/(-4)). What are the prime factors of (n - 19)\/(9\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*q + 6. Suppose -2*f + f = -q. Let p be 2\/(-4) + f\/14. Sort 0.4, 0.1, p in decreasing order.\nAnswer: 0.4, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18) - 6\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l)\/(l\/l**(1\/5)))\/(l*l*l**(-1\/4)\/l)**39 assuming l is positive.\nAnswer: l**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4545)\/(-135))\/((-14)\/6) - -16.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to 58069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.861 - 0.139. Which is smaller: u or 5\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30748316 is divided by 3074831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1388601 or 1?\nAnswer: 1\/1388601","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -273, 1\/4, 597, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 969 + -967. What is the second biggest value in -2, q, -53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 239, 240, 241, 242, 243?\n\"Answer: k + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*f + 189*f + 918 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 55. Suppose -217 = -5*a - j - 3*j, 0 = -j - f. Calculate the least common multiple of a and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*u + 14329, d = -2*d + 4*u - 10753. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yprpyyyf. Give prob of picking 3 y and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 780823\/6 <= 130136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177922 is divided by 1648.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -t + 4767, 4*r = -0*t + 2*t + 4770. Is r a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2adc (base 15) in base 9?\nAnswer: -13560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-12)*144\/(-900)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/20 + (-36)\/45. Let f = -0.39 + -1.91. What is the third biggest value in f, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7082 divided by 174.\nAnswer: -3541\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - -2.3. What is the fourth biggest value in -5, a, -0.3, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 25*q**6\/6 - 47*q**5 - 147*q**4\/4 - 149*q**3\/15 - q**2 + 188. Factor k(f).\nAnswer: f*(f - 10)*(5*f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 1:23 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -180110 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26456726 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 27 = 2*q + 16, -5*q + 20 = 5*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 20274*o**2 + 13*o - 56. Let v be p(4). Round v to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12185 = 2*q, 2*l = 4*q + 3323 + 1551. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-38)\/(-4) + -7)*1*-6. Sort l, -5, 0.2 in ascending order.\nAnswer: l, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.05 + -2. Let m = b + 0.05. Let d = 3466 - 3463. Put d, m, -1 in decreasing order.\nAnswer: d, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2942 + 2964 = 11*b. Put b, 0, 1, -1 in increasing order.\nAnswer: -1, 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 906*z = 909*z + 3, 2 = 3*j - 2*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-2)\/(-1*sqrt(432)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**8\/336 + 21*t**6\/20 - 49*t**5\/30 + 9*t**2 + 20. What is the third derivative of a(b) wrt b?\nAnswer: -60*b**2 + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1855*j**3 - 3716*j**3 + 1864*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-5)*(-88)\/(-96)*8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273924, -273536, -273148?\nAnswer: -272760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -31. Suppose 4*a + c*a = 0. Suppose 5*t - b = 266, -2*t + 101 = -a*b + 5*b. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r - 2. Let c(a) be the second derivative of -a**3 - 3*a**2\/2 - a - 99. Determine 2*c(t) - 3*v(t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 8044 = 2222. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*s + 2*s - 14, 2*n - 5*s = -7. Suppose n*t - 1 = 11. Suppose -p + 2 = 0, -3*o = -p - t*p - 106. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 814929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 271*c**6\/30 + 28*c**2 - 253*c. Differentiate z(h) with respect to h.\nAnswer: 1084*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*j**3*n*s*z - 2*j**3*n*s - j**3*z - j**3 - j**2*s - 5*n*s*z + 39*n wrt z.\nAnswer: 86*j**3*n*s - j**3 - 5*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5137607274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - k + (-k + 2*k + k)*(-1 + 2 - 4))*(3*k - 3*k - k) + 0 - 3*k**2 + 0.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(63) + sqrt(504)\/sqrt(8))\/sqrt(9)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.5 (c) 2\/11 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-1)\/3). Let d be (k\/(-6))\/((-3)\/18). Suppose 2*q - 2 = d. Solve -q*x + 4 = -0*x, -4*f = -x + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 7316.\nAnswer: 73160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1114392 and 276.\nAnswer: 25631016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242.903mm to micrometers.\nAnswer: 1242903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**7\/105 + 3*l**6\/2 + 1933*l**5\/30 - 345*l**4 + 2116*l**3\/3 + 2619*l**2. Let k(r) = 0. What is r?\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5)\/g*g)\/g*g)\/g**(2\/9)*(g**(-1\/2))**2 assuming g is positive.\nAnswer: g**(-46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 365. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1, 6, 1051, 0 in descending order.\nAnswer: 1051, 6, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251376 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12 + 12 - 2*z**2. Let s be (-3)\/(-9)*3 - -2. Let h(x) = 5 - 3 - 2 + s*x. What is h(d(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y. Let p(a) = -4517*a + 5. Let t(d) = 18030*d - 21. Let g(b) = -21*p(b) - 5*t(b). Determine g(l(f)).\nAnswer: -18828*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 - 0.05. Let u = 5.26 + r. Let s be 0 + (1 - 6\/8). Sort s, u, 2\/5 in decreasing order.\nAnswer: u, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2. Let x(f) = -224598*f**2. Calculate x(c(r)).\nAnswer: -898392*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 8*y. Let j(h) = -h**2 + 7*h - 1. Let x(n) = 3*j(n) - 2*r(n). Suppose -163*a + 174*a + 66 = 0. What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2330208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 307915, 307886, 307835, 307768, 307691, 307610, 307531, 307460?\n\"Answer: l**3 - 17*l**2 + 15*l + 307916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y + 1. Let d = 62 - 57. Calculate the remainder when q(-1) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 3*f**3 + 4*f**2 + 2*f - 29. Suppose 0 = -4*h + 6 + 6. Is 7 a factor of i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*369\/(-6). Which is the third smallest value? (a) 1\/6 (b) j (c) -2\/3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11228, 11232, 11236?\nAnswer: 11240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 83.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(88) - (sqrt(88) + sqrt(88) + -4*sqrt(88)*-3 + sqrt(88))) + sqrt(88))\/sqrt(8) + 1 + 4)**2 + 4.\nAnswer: -234*sqrt(11) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2313 - 1151 = -4*h. Let i = h - 602. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -13*248\/(-364).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from qlltxlqlgttgglxlg.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2, -3, 1\/5, -0.2 in descending order.\nAnswer: 1\/5, -0.2, -4\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - 1*sqrt(85)*-1) + sqrt(85) - sqrt(85) - sqrt(85))\/sqrt(5))**2*-6.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-155)\/(-10))*(-32)\/(-10). Let y = 31 + n. Does 14 divide (24\/5)\/(42\/(-140))*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.224874nm in micrometers?\nAnswer: 0.009224874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/4)*u*u**5)\/((u**(-1)\/u)\/u*u)**1)**(-1\/7) assuming u is positive.\nAnswer: u**(-37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11)*d**(-33))\/(((d\/(d\/(d**(2\/55)*d))*d)\/d)\/d*d**11) assuming d is positive.\nAnswer: d**(-2412\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9327334, -37309489, -83946422, -149238139, -233184646, -335785949, -457042054?\nAnswer: -596952967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -17*h**3 + 9*h**2 + h - 11. Let j(z) = 4*z**3 - 2*z**2 + 3. Let n(b) = b**2 - 205*b - 1486. Let u be n(-7). Give u*f(y) - 9*j(y).\nAnswer: -2*y**3 - 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007306692 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 767*g**2 + 9279*g - 1495. Give v(371).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048813 is divided by 1937?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1094*c + 1532. What is the tens digit of i(-47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5630, 6775, 7920, 9065?\n\"Answer: 1145*c + 4485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306982 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39580223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84408974?\nAnswer: 2, 13, 3246499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + 2)) + sqrt(396) + 4 + sqrt(396) - (sqrt(396) + -1)*-3)**2.\nAnswer: -60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose c = o - 9 + 3. Let v(g) = -o*g + 0 - 1 + 3*g. Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259261 take away -0.1?\nAnswer: 259261.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**3 + 398*z**2 - z + 402 wrt z.\nAnswer: 12*z + 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-27)\/189)\/(10\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 345, 668, 1101, 1650, 2321?\nAnswer: 3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428\/(-650) + 2 - (-18426)\/239538?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from rrfbfbrfffhffbfrrrbr?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 + 212.579961738\nAnswer: 212.759961738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -15.17. Let z = l + 0.17. Let t = 5 + z. Which is the biggest value? (a) t (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 110*b + 106*b - 217*b + 25 as w*b + i and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.60166 and 144.\nAnswer: 374.63904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/5)*a**(-1\/55)*a)**(-2\/47) assuming a is positive.\nAnswer: a**(-262\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, n: 5, a: 3, w: 1, m: 8}. What is prob of picking 3 a?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -42, -35, -28?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10288 + 10281. Which is the closest to -0.3? (a) 0.07 (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2971 + 1494 + 1479 - 238*d**3.\nAnswer: -238*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 - 2 = -3*w, -12 = -w - 5*t. What is the least common multiple of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(-1*(-8)\/264).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 271.\nAnswer: -17\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose 0 - 33 = -z*m - 5*a, a = 3*m - 1. Let y be (8 - 6)\/(m\/13). Do 11 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5830411 is divided by 166.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 - 2 + 2*v**2 + 6*v**2)*(-4*v + 5 - 5) as k*v**3 + h*v + u + o*v**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.634401 millennia in months?\nAnswer: 115612.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*s - 10*s + 20*s)*(-3*s**3 + 4*s**3 - 4*s + 5*s).\nAnswer: 31*s**4 + 31*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 9*w = 828. Let q = w - -116. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -99, -2 in descending order.\nAnswer: 0, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -482, -603, -754, -947, -1194?\n\"Answer: -2*d**3 - 3*d**2 - 98*d - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 13. Let k(u) be the second derivative of u**4\/6 - u**3\/2 + 5*u**2\/2 - u. Is k(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2\/1)\/1)\/((-1)\/(-8)). Suppose -w + 12 = -2*o. Suppose 2*r + 2*b - 102 = 0, 2*r - o*b = -5*b + 107. Calculate the remainder when r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -13 + (-4 - (-14 - -15))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78164159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:22 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3188861.5 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.81424713 and 0.3.\nAnswer: -11.51424713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056315?\nAnswer: 5, 11, 149, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*o + 5483 = -2270 + 1764 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075740 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y + 17 = 4*u, -3*y + 4*u - 91 = 0. Let c = y + 56. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**(-2\/17)))**(-5)\/(j*j*j\/j**(-20)*j\/(j\/j**8)))**(-1) assuming j is positive.\nAnswer: j**(602\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12642 (base 7) in base 14?\nAnswer: -1359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(468) - (-2 + sqrt(468)))*3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.33520892\nAnswer: 0.067041784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39409155 to the nearest integer?\nAnswer: 6278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 + 4*s**2 - 4*s**2.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 2 (c) -3 (d) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 + 26 = 105*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-208.1078.\nAnswer: -20.81078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*t*z**2 + 3*t + 29*z**2 - 3*z - 4072 wrt z?\nAnswer: 12*t*z + 58*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.188 and -1952576042.\nAnswer: -1952576041.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8741 to 2 decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 3*j + 6, -4*j = -b - 0*j - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f + 1. Let v(c) = c. Let r(a) = -2*l(a) - 18*v(a). Let g(o) = o**2 - o - 1. Determine 4*g(u) - 2*r(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 40. Suppose -k*i + 20 = -i. Solve -v + 2 = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*k**2 - 42*k**2 - 19*k**3)*(3613 - 1552 - 1655).\nAnswer: -7714*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, 4\/7, -2, -62\/13 in descending order.\nAnswer: 4\/7, -4\/19, -2, -62\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 + 42*x - 141. Let d be h(-11). Solve 2*q = -d*t + 2, -47*q + 42*q + 2*t - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 72*k**2 + 270*k - 131. Let v be g(-68). Which is the biggest value? (a) v (b) -3 (c) -396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 7*g - 4. Let z be w(5). Let q be 2 - 2 - 306\/(-2). Suppose z*o - q = 3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2 + sqrt(7) - ((-1 + sqrt(448) - sqrt(448)) + sqrt(448)))**2 + 5.\nAnswer: 34*sqrt(7) + 2029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*r, -2*r - 3 - 17 = -15*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.68 + -0.68. Let x = 34.06 - g. What is the closest to -0.2 in 5, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -1, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/45)*p**12\/p*p)**(-27) assuming p is positive.\nAnswer: p**(-1896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*n + 120*n = 6. Suppose 0 = -n*p + 11*p. Solve 0 = -u - p*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w - 5. Let h be b(-8). Let l be 21*(3 + 9\/7). Let g = -63 + l. Calculate the highest common divisor of g and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (-9)\/(-3) - 2. Suppose -l*p = -19 - 8. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3973*z**3 + 1066*z**3 + 93 + 2*z**4 + 2*z + 2*z**4 - 27*z**2 + 1687*z**3 wrt z?\nAnswer: 96*z - 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55928182*f**3*o**3 - 15*f**2*o**3 - 1057*o**3 - 2019 wrt f?\nAnswer: -335569092*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*k + 885 - 309 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 823 in 0.2, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323006353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - 15 = 0. Let l(k) = 2*k**2 + 4*k - 1. Let t be l(-3). Suppose -2 = -t*o + 3*u, -5*o + 9 = -5*u - 1. Put o, z, 0 in decreasing order.\nAnswer: 0, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 5)*(-s + 5*s - 2*s) + (-3 + 7 - 3)*(2*s + 0*s - s) + 0*s - 8*s + s + (-3 - 1 + 5)*(-2*s - s + s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - -9. Suppose -4*n - x + a + 14 = 0, -35 = -n + 5*x. What is the greatest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(sqrt(2) + 1)**2.\nAnswer: -45 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*d - 327*d + 1423*d - 364*d - 366*d + 36*d**2.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 + 2*f + 2. Let d(o) = 3*o + 5 - 2*o - 6. Suppose -2*g = -3*g + 1. Let a(r) = g*w(r) + 3*d(r). Determine l so that a(l) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-2)\/(-428)). Suppose 0 = -2*j + 25 + d. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = v - 553 + 123, -3*v = 6. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 6206751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2214*i**3*t**3 - i**3*t**2 + 968*i**3*t + i**2*t + 4*i**2 - 5*t**3 + 5 wrt t.\nAnswer: -13284*i**3*t - 2*i**3 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 19*p - 12. Let x be g(-15). Let n = x + -34. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 8*f - 17. Calculate t(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/9 + 508*b**3\/3 - 45320*b**2\/9 - 508*b\/3 + 45322\/9 = 0. Calculate b.\nAnswer: -1, 1, 31, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 6*w**2 + 5*w - 10. Let z be l(-7). Solve 20 = z*u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/98*(-104)\/2)\/((-6)\/882*-6)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176929 divided by 2\nAnswer: -176929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-360) - ((-532)\/60)\/(-7) - (-5)\/(-3)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + 4*i**4 + 0*i**4)*((0 - 2 + 1)*(3 - 4 - 2) - 1 + 7 - 3).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2428006, -4856007, -7284010, -9712015?\nAnswer: -12140022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**6\/360 - l**5\/30 - l**4\/8 + 5*l**3\/6 + 6*l. Let v(j) be the second derivative of x(j). What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 2:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 90683?\nAnswer: -906a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h + 201 = 569. Calculate the least common multiple of h and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -8.3, 5 in decreasing order.\nAnswer: 5, 0.15, -8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8524 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 3*p - 8, g = -2*p + 5. Solve -7 = 2*l - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1116 and 107585128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*i - 5 = 12, -2*x = -3*i - 13. Let z = 14 + -10. Solve -z*k = -3*s + s - x, 5*k = -5*s + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*t + 6, -32 = 2*o - 4*t + 9*t. What is the third biggest value in o, -0.3, 0.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 3.67052?\nAnswer: 14.68208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270494 and 42686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 88. Suppose h = 87*z - 88*z + 99. What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9545*j**2*u**3*y**3 - 16*j**2*u*y**3 + 2*j*u**2*y**2 - 4*u**3 + 1012*u**2*y**3 - 3*y**3 wrt j.\nAnswer: -19090*u**3*y**3 - 32*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 5\/(-15)*9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5218 bigger than -5220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 52. What is the second derivative of 2*k**4 - u*k**4 - 1 - 894*k**5 - 7*k + 839*k**5 wrt k?\nAnswer: -1100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -13. Suppose 0 = -j*v + 8*v - 22. What is the remainder when 19 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 = 2*l, 30740*l - 30735*l = p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + k + 5 = -2*k, 5*k = -4*h + 1. Suppose -2*l = -6*l - h. Let o = -8 - -12. Sort o, 2, l in decreasing order.\nAnswer: o, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 0.02.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034364 rounded to 4 dps?\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luxububabuubbxubb. What is prob of picking 2 x and 1 a?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/(21\/(-56)*-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**4 - 786189*s**3 - s**2 + 176*s - 60328 wrt s?\nAnswer: -24*s**2 - 4717134*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11154488\/51 - 218695. Let i = -61\/3 + y. Which is the third biggest value? (a) i (b) -0.2 (c) 6\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -132, -210, -362, -612, -984, -1502?\nAnswer: -2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*k - 129 = 403*k. Suppose 4*v + 3*f = -k, 4*v - 4*f + 36 = -0*v. Let o = v + 10. Solve -u = -o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3781*r - 22697. Determine t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151148*c*f**2 - 535*c*f + 40*f**2 + 2124*f wrt f.\nAnswer: -302296*c + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*r + 562 = -0*a, 2*r + 1673 = 3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18*(-3)\/4)\/(4\/(-8)). Let m = 29 + u. What is the third derivative of h + 4*h**m - 4*h**5 + 24*h**5 - h wrt h?\nAnswer: 1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2523218*n*z - 2*n - 51040 wrt z.\nAnswer: -2523218*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001000 (base 2) to base 3.\nAnswer: 2012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose d*h + 4*q = q + 5, -4*q = -4*h. Let r = 1 - h. Round r to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let u(q) = -96*q. Let i(b) = -216*m(b) - 2*u(b). Let o(s) be the second derivative of 2*s + 6 + 0*s**2 - 1\/6*s**4 + 0*s**3. Calculate i(o(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b221b00 - -3?\nAnswer: b221b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744*z - 721080 = 738*z. What is z rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -26. Let y = -5 + n. Let f = 46405 + -46400. Sort 0.1, f, y, -1 in descending order.\nAnswer: f, y, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 689 - 354. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 9*o - 12. Let x be b(-11). Let a(s) = -s**2 + 10*s + 5. Let v be a(x). Let k(f) = f + 0*f + v*f - 2*f. Give k(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 + 1833*u - 11106 = 0.\nAnswer: -617, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18)*3*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2276 and 10?\nAnswer: 11380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 64721097, -0.5 in decreasing order.\nAnswer: 64721097, 0.5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 30, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -4 - (-27 - (37 + -35))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.85916 millilitres in litres?\nAnswer: 0.00785916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31603 = 8.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -480323 and -480318 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -5*s**6\/6 + 20*s**5 - 265*s**4\/4 - 2290*s**3\/3 - 1680*s**2 - 1440*s - 54. Find o such that y(o) = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by -164\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 6, -2, -3.42, -3?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 17. Suppose -5*m + 0*m = -o, 3*z + 2*m = 0. Is 14 a factor of 1*(0\/z + 42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 + 22*l**2\/7 - 36*l\/7 = 0. What is l?\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -443104 (base 5) in base 2?\nAnswer: -11110000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 15*t + 9. Suppose 100 = 4*y + z - 134, y = -3*z + 53. Let b = -71 + y. Is 31 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516291 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012273549038 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than or equal to -496.3361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 13. What is t(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 7. Let b = 43 - 23. Calculate the remainder when b is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4 (c) 3 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 84*h**3 - 8.\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121000 (base 3) in base 6?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7964 rounded to the nearest one hundred?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8117273 millilitres to litres.\nAnswer: 0.0008117273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2561.09 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*r = 9, 0 = -r + 4 - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(18)\/(sqrt(6)*-1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + sqrt(11) + 5)**2 - (sqrt(539) + -3)**2.\nAnswer: -134 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 547241*r**5 + 103*r**4 - 342894707*r wrt r.\nAnswer: 10944820*r**3 + 1236*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 59*y + 5. Let a(b) = 60*b + 4. What is 5*a(g) - 4*n(g)?\nAnswer: 64*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-6) - (-2669)\/102. What is the greatest common divisor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 0*h - 2*h + 427 = -11*z - 0*h, 0 = 4*h + 4 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 2\/7, 2, -3\/5, 10\/73, 3\/2.\nAnswer: -3\/5, -3\/7, 10\/73, 2\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4272, -16429, -36690, -65055, -101524, -146097?\n\"Answer: -4052*r**2 - r - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6533 - -6538. Let q(n) = -7*n**3 - 5*n**2 + 5*n + 4. Let r(g) = -6*g**3 - 4*g**2 + 4*g + 4. Calculate w*r(l) - 4*q(l).\nAnswer: -2*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7251 + -7250. Solve -135*o + 137*o = -3*h + i, 0 = -3*h + 3*o - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 45. Suppose v*r = -5*u + 160 + 50, -u = -4*r - 42. What is the remainder when 251 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7888930 times -0.1?\nAnswer: 788893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r - 149. Let j be t(-9). Suppose 27 = 5*s + j*i, 0*s + 4*s - i - 9 = 0. Put s, 12, -15 in decreasing order.\nAnswer: 12, s, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 67*z**2 + 2*z - 7. Let l(p) = 68*p**2 + 2*p - 9. Determine -2*l(y) + 3*m(y).\nAnswer: 65*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*y - 15, 19 + 1 = -3*y - 5*g. Let k = y - 23. Let j be 32\/(-56) - 65\/k. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 32*l + 1. Let k be t(-1). Let g be ((-3)\/(-2))\/(9\/12) - 62. Let u = k - g. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) - sqrt(15))\/sqrt(3)*5.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54738.2 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 651229122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121 + 374 + 28*q - 117 - 114 to u + g*q and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 + 507*i + 1494 = 0. Calculate i.\nAnswer: -166, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 + 12645 - 25282 + 12637.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54635365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(3 - 1107*g - 3 - 1713*g + 1335*g).\nAnswer: 2970*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 13*x - 1. Let g = 12 - 13. Let y be (g\/(-1))\/(-1) + (37 - 19). What are the prime factors of b(y)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from zgrjg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 493853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-748*434\/(-10912))\/(7\/8).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0*l**4 + 0 - 2*l + 1\/60*l**5 - 1\/6*l**3 - 1\/3*l**2. Let t(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105735, 211700, 317665, 423630?\n\"Answer: 105965*m - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let z be (6 - w) + -2 + -3. Suppose -32 - 12 = -2*q + z*k, -5*k = 4*q - 88. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 6:16 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40*18\/126*(-14)\/(-8). Solve 0 = -2*j - 0*j - d - 10, 5*j = 5*d - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 m when three letters picked without replacement from {g: 2, x: 6, m: 1, f: 2, y: 7}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.54 - -0.46. Let a = k + -14.000118. What is a rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9310*y**2 - 443*y - 3.\nAnswer: 18620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = -53*z + 29 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 10}. What is prob of sequence ntnn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 6. Let i be n(3). Let c(k) = -2*k - 3*k**2 + 4*k**2 + 3*k**2. What are the prime factors of c(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -53. Calculate the lowest common multiple of m and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p**3 + 1479*p**2 + 4511*p - 176. What is q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -133386.57 to the nearest 100.\nAnswer: -133400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 18*s + 130*s**3 - 17*s - 3*s.\nAnswer: 130*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 14. Suppose 5*b + 24 = p*b. Let m = b + 8. Solve u + 20 = 4*x, -x + m = 3*x - 3*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x**3 - x**3 - 3 + 3.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*w + w + 16 = 0, -5*w - 20 = 0. Suppose z = -10*c - 34 + 214. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r**2 + r - 1. Let b be f(-1). What is the least common multiple of ((-10)\/b)\/(1\/12) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(39)\/sqrt(3))*-5 - sqrt(13))**2*1.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, p: 3, u: 1, q: 7}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -358 * -3104\nAnswer: 1111232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 9*x - 18. Let o = 32 - 27. Let s be d(o). What is the first derivative of -s*p**3 - 19 - 7 + 42 wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -461*b + 1. Let n(g) = g**3 - 5*g**2 + 3*g + 3. Let a be n(4). Let d be u(a). Let j = d - 264. Calculate the greatest common divisor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 801, 2827, 6205, 10941, 17041?\n\"Answer: k**3 + 670*k**2 + 9*k + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Solve 0 = k*t - 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -6\/7 (c) -1\/11 (d) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2 + (-1 - 17)). Suppose i - 5 - a = 0. Let z = i - 8. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7491 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*g**3*r - 319*g**3 - g**2 + 10*g*r - 3*g - 16308*r + 3 wrt g?\nAnswer: -1146*g*r - 1914*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/3 of a week?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130255, -128873, -125115, -117793, -105719, -87705, -62563, -29105?\nAnswer: 13857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41506132 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n**(-2\/7)*(n*((n*(n\/n**(2\/19))\/n)\/n)\/n*n*n)\/((n**(-1)*n)\/n))**11 assuming n is positive.\nAnswer: n**(264\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 368.002 + -7587.\nAnswer: -7218.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 j = -0.04763 - 34.51237. What is j rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2 - g + 0*g - 11 + 7. Let m(o) = o + 12. Let r(b) = 6*d(b) + m(b). Let c(w) = 7*w. Calculate c(r(i)).\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -62.3. Put a, 3, -0.7, 0.2 in ascending order.\nAnswer: -0.7, 0.2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197516 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1521 and 39?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793.9204g to kilograms.\nAnswer: 0.7939204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3*d - 12. Let b be w(-5). Let i = -23 + b. Suppose -2*a - h + 208 = 0, -a - i + 109 = -5*h. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 + (39 - -44 - 43)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -277, -521?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 291201.5m?\nAnswer: 291201500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 200111 (base 3) to base 13\nAnswer: 2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = 6. Suppose -5*q - k + 505 = 0, -131 - 172 = -a*q - 3*k. Is 14 + q - (3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 12*a**2 + 11*a - 1. Let g be h(5). Suppose 4*s + 3*r - 29 = 0, -17 = -6*s + g*s + r. What is the highest common factor of 32 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 33. Suppose -4*a + 23 = 2*y - x, -2*y - 1 = -a. What is the remainder when (-4)\/18 + 182\/9 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 187*w**2 - 96*w - 182. Let y be p(-94). Solve y*o - o - 29 = -4*a, -23 = 2*a - 5*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131666 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l + 2*l**2)*(-223 + 149 - 334 - 474) in the form z*l**2 + m*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130 - 190?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243162 (base 9) in base 13?\nAnswer: -1a9861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 44 = -x - 2*i, -5*i = -3*x + 68. What is the remainder when 76 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 1290 + 94. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15968 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t - 21. Let g(w) = -12*w - 20. Calculate -7*g(d) + 8*x(d).\nAnswer: -12*d - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1303 or -1183?\nAnswer: -1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (93*z - 42*z + 165*z)*(-2*z + 4*z - 3*z + (0*z - 5*z + 3*z)*(2 - 2 + 2) - 2*z + z - 3*z) as f + n*z + s*z**2 and give s.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 9 - 48. Let j(t) = -16*t - 127. What is the least common multiple of j(a) and 30?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1266 or -1265?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = -w. Suppose 4*g - 3 = -3*y, y - 3*y + 2 = -w*g. What is the closest to y in -0.3, 5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124507421 to the power of 1\/2, to the nearest integer?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405 * 1.6.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-4)\/(-20)) + -5. Find the first derivative of 36 - 13*k + 7 + 7*k**4 + 19*k + b wrt k.\nAnswer: 28*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from dzzzzzzzdz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2 + 2*z**2 + 4\/3*z**3 + 3*z. Let o(p) = p - 1 - p**2 - 2*p - 2*p**2 + 2*p**2. Calculate b(q) + 3*o(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u - 4*u. Let x be 7\/((-21)\/u) + -4. Suppose 2*r - 9 = -1. Solve -m - 4*j = -5*m, x = -r*m - 4*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - p + (0 - 2 + 3)*(-2 + 2 - 2*p) + 16 + 21*p - 16)*(-2 - 1 + 4).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2287.101 + 2286. Let j = -0.101 - v. Sort 2\/11, -2\/13, j, 2\/9.\nAnswer: -2\/13, 2\/11, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*c**3\/7 + 171033*c**2\/7 + 7869144*c\/7 - 6404784\/7 = 0. What is c?\nAnswer: -11356, -47, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)**(-3\/4))**(-3\/10) assuming p is positive.\nAnswer: p**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 901320*c**2 - 901306*c**2 - 237*c**3 - 596*c**3 + 101 wrt c?\nAnswer: -4998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 - 193. Suppose t = 4*d - 3*d. Solve 2*m = -4*p + 10, 2*p - d*p - 15 = -3*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:07 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, -5, 7, -1 in ascending order.\nAnswer: -5, -2, -1, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2480.2 - -2480. What is the nearest to r in 3, -2\/7, -0.23, 5?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - 3*m**4 + (1 + 1 + 2)*(-m**4 - 3*m + 3*m) - 2*m**4 - m**4 + 2*m**4 + (21*m + 0*m + 11*m)*(2*m**3 + 2*m**3 - 3*m**3).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800922 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let t(w) = w - 6. Let q(k) = -4*k + 10. Let j(n) = 7*n - 19. Let y(b) = 3*j(b) + 5*q(b). Let i(f) = 7*t(f) - 6*y(f). Calculate i(p(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 e, and 1 o when three letters picked without replacement from {a: 1, z: 1, e: 2, p: 4, o: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - -39 - (-6 - -4 - (-16 + 24)))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7618, -15238, -22856, -30472, -38086, -45698, -53308?\nAnswer: -60916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233\/3 equal to 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -18. Let f = 69.4 - 53.4. Let x = f + y. Which is the closest to -0.1? (a) x (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.62 + -2.89. Let x = -0.73 + h. Let p = 0.3 - 0.1. What is the third smallest value in 5, x, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -102, -0.06, -5, -4 in decreasing order.\nAnswer: 2, -0.06, -4, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409915 and 638?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*c - 2*h, -2*h + 3*h - 2 = 0. Let d(g) = 71*g - c*g + 78*g - 1 + 25*g. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -41, -101, -175, -257, -341?\n\"Answer: d**3 - 16*d**2 + d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5250, 10280, 15310?\n\"Answer: 5030*j + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5472 divided by 144\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 432, 1742, 3932, 7008, 10976, 15842?\n\"Answer: n**3 + 434*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1541 + 3972. List the prime factors of n.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 4827*z**3 + 4863*z**3 - 185 - 9732*z**3.\nAnswer: -42*z**3 - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1) + 46\/15. Let h(r) be the second derivative of -i*r**6 + 0*r**4 - r**2 + 2*r + 0*r**3 + 0 + 0*r**5. What is the first derivative of h(u) wrt u?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + 2*o)*(-1 + 107*o - 49*o + 116*o) to the form x*o + h*o**2 + z and give h.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 18*t + 38 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26470 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11506066, 23012136, 34518206?\n\"Answer: 11506070*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-45)*q*q**(-2\/45)*q**(-3\/2)\/q**(5\/2) assuming q is positive.\nAnswer: q**(-2117\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8 - 8 = -4*r, 4*r - 13 = -n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 465, 7.\nAnswer: 1\/10, 7, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 11*y - 5*y)*(-8 + 0 - 6)*(-y - 3*y + 5*y)*(-21*y + 32*y + 2*y) to t*y**3 + g + p*y**2 + h*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2.53.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k. Let g(b) = 9*b**2 - 5*b. Let r(w) = 2*g(w) - 10*s(w). Let p(l) = 4*l**2. Give r(p(z)).\nAnswer: 128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181 - -5241?\nAnswer: 5050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {r: 1, p: 1, y: 2, c: 1, a: 2, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8245 - -26541. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 minus -202291?\nAnswer: 203077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 8 + 29*q + 2 - 98*q to i + t*q and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21397 is divided by 5334?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/15))\/(w*w\/(w**(1\/16)*w)) assuming w is positive.\nAnswer: w**(-1\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from {p: 3, g: 1, s: 2, v: 1, z: 1, f: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276c75 (base 13) to base 15.\nAnswer: -13dbe9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000209699 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**16*c)\/((c\/(c\/(c*(c*c*c**(4\/19))\/c*c*c*c)*c))\/c))\/((c*(c\/(c\/(c\/c**(-4\/3)))*c)\/c)\/c*c*c*c**(3\/2)*c))**(8\/5) assuming c is positive.\nAnswer: c**(3172\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -687? (a) 751 (b) -11\/8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 571, 1042, 1829, 2926, 4327, 6026, 8017, 10294?\n\"Answer: -b**3 + 164*b**2 - 14*b + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4 and -65\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -38*l**3 + 2*l - 9. Let y be j(2). Let h = y + 365. Calculate the remainder when ((-332)\/(-6))\/((-1)\/(-3)) is divided by h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5*2)\/(3 + -5). Let k(g) = g - 5. Let t be k(q). Are t and 3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:18 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272950 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19960491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 3, -49084, -4 in ascending order.\nAnswer: -49084, -4, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 + 7*h. Let q be v(-5). Solve -9*f + q = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 5:03 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-29\/2)\/d)\/d**(3\/22)*(d\/d**(-2\/39))**(1\/4) assuming d is positive.\nAnswer: d**(-26381\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 360.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heeeeeeeeeeeeheeeeee. Give prob of sequence hehe.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-8 - -35) - 40\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:01 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4681.843 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -261, -172, -83?\n\"Answer: 89*v - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27.77447t?\nAnswer: 27774.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*u**5 + 14300*u**3 - 413109*u - 2.\nAnswer: -400*u**3 + 85800*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 3 + 3)*((c - c + 2*c)*(2*c - 3 + 3) + c**2 - 2*c**2 - c**2) to the form g + a*c + r*c**4 + y*c**2 + q*c**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1246*c*o**3 - c*o + 10*c + o**2 - 2*o wrt o.\nAnswer: 7476*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10443343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let a = 14 - 21. Let d(h) = -h. Let z(l) = a*d(l) + 3*k(l). Let f(w) = -1. Let c(i) = i + 8. Let m(q) = 5*c(q) + 40*f(q). Determine m(z(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**3*j\/j**2*j*j*j*(j*j*j\/(j**(-2\/3)\/j)*j*j)**33*(j**(-1))**(1\/28)*j**(-1)*j*(j*j**(2\/9))\/j*j assuming j is positive.\nAnswer: j**(57251\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 620, 1590, 4188, 9218, 17484?\n\"Answer: 134*u**3 + 10*u**2 + 2*u + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.400797 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -582 divided by 58\nAnswer: -291\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1213023012 (base 4) to base 13\nAnswer: 11a477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 77843?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -81*c + 1781. What is t(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -8)\/((0 + 4)\/4). Solve 4*f = 2*f + i + 9, x*i = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248 + 140. What are the prime factors of 84\/(-9)*u\/42?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + d + 5*x = 0, -5*x = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/20*(1 + 1). Solve h*j = 4*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 - 261*s + 1826. Give z(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 1. Let l be a(-4). Suppose -l*d + 2*b = -d + 4, 5*d + 2 = b. Let i be (2 + 15\/(-6))*d. Solve 0 = -0*j - j - t - 5, 5*t = i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (2 - -1 - 2). Let z be -1 + (1 - (-1)\/(-6)). What is the smallest value in z, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 52. Calculate v(-20).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*t + 430*t - 14 = m, -5*m + 5*t = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7375 and 171513.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-9))**(-41))**1)**(-18) assuming o is positive.\nAnswer: o**(-6642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/21 + 28\/4. Let o = -32 - -133\/4. Let w = 43\/28 - o. Which is the biggest value? (a) w (b) -0.5 (c) -2\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -142.88. Is 10\/9 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(2))**2*-3 + -1*sqrt(2) + 2.\nAnswer: -22 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117292729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.02 - 1. Let p = -0.02000003 + y. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 182*l**3 - 185*l**2 - 366*l.\nAnswer: l*(l - 2)*(l + 1)*(l + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-2)\/(-15)*-23)\/(132\/(-396)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 709332740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**8)\/(w*w*w**(-1\/12)))\/(w**(1\/5)*w*w**5\/w) assuming w is positive.\nAnswer: w**(113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**4 + 0*i**3 + 0*i - 1\/8*i**6 + 1\/5*i**5 - 11*i**2 + 0. What is the third derivative of w(x) wrt x?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 45369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 660358.1 years in months?\nAnswer: 7924297.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -701*j**8\/336 + j**5\/20 - 23*j**4\/24 + 12*j**2 - 16*j. Find the third derivative of i(d) wrt d.\nAnswer: -42060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 0.64 (c) -2\/21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:16 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-64)\/(-240)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-21))\/((6\/(-252))\/((-3)\/27))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = -q, -5*q + 4 = -2*q - 4*m. Suppose -36 = -4*j - q*i, 2*j - 2*i + 0*i = 14. Let w(c) = 21*c**2 - 4*c + 7. Is w(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c**5\/2 + 8915*c**4\/2 - 120631*c**3\/2 + 446233*c**2\/2 - 229038*c + 61776 = 0 for c.\nAnswer: -1287, 3\/7, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 2)*(r + 25*r - 2*r)*(-r**2 - r**2 - 2*r**2) - 2*r**3 + r**3 + 5*r**3.\nAnswer: 868*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 4*l - 5 + 10 + 13 + 51 to a*l + h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - 5 - (-12 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*(0 + (3 - 5)). Let q be (w\/2)\/5*44. Let v = 36 - q. Is 93\/7 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2 - -5) + 0 + -106. Let v = y - -97. Sort v, 0, -1 in decreasing order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -10\/19 (c) -3 (d) 5 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 2\/3, 0, 987, -0.4, -1448?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3268373490 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127686151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 1. Let q(v) = 4*v - 1. Let o(p) = 6*q(p) - 5*r(p). Let f(g) = -g. Give -3*f(d) + o(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3688080 by 22352.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 1, -2 in decreasing order.\nAnswer: 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**15)*o*o\/o**(-9)*(o\/((o\/o**(5\/3)*o)\/o))**(2\/79) assuming o is positive.\nAnswer: o**(6172\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -17024400 to the nearest 10000.\nAnswer: -17020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -38?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 18 = -2*p, -4*p = 4*b - 0 - 12. Let u(r) = 15*r - p*r - 8*r - 12 - 2*r. Give u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-8))\/((-3)\/(-2)). Let m = k - -1\/4. Is 2 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**13\/m*m))\/(m\/m**(1\/4)))**30\/((m**(3\/2)\/m*m)\/(m**5\/m)*m*m*m**4*m\/(m\/(m\/m**(2\/9)))) assuming m is positive.\nAnswer: m**(-3751\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -4, 0.2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {u: 9, i: 3, v: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 72 + 72 - 3*y**3 + (-y**2 - y + y)*(1 + 2*y - 1)*(-949 + 949 - 159*y) to f*y**4 + v + b*y**2 + p*y + x*y**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -36)*(16 + -13). Suppose 0*q + d = 3*q. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 - 4908?\nAnswer: -4971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/24 - 67*f**5\/12 - 175*f**4\/3 - 710*f**3\/3 + 2*f**2 - 73*f. Find p, given that k(p) = 0.\nAnswer: -2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7*q + 5*q + 10 = 0, -2*q + 10 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 - 69*a**3\/2 - 19995*a**2\/2 - 1018799*a\/2 - 7871193.\nAnswer: (a - 198)*(a + 43)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -262767711 and 1.\nAnswer: -262767711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -132, -284, -468, -678, -908, -1152, -1404?\n\"Answer: d**3 - 25*d**2 - 46*d + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -347547 > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/(y**31\/y) assuming y is positive.\nAnswer: y**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2831 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*t - 1. Let g(m) = 2*m**4 - m**2 + 3. Let x(w) = -w**4 - w**2 - 1. Let i(n) = t*g(n) - 3*x(n). Find the third derivative of i(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 15 - 8 - 128*b**3 - 119*b**3 - 6 to m + h*b + a*b**2 + d*b**3 and give d.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268195 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83262 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 - 10*l + 20. Suppose 5*u = 3*u + 174. Calculate the remainder when u is divided by z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1991\/3 + 657. Let p be 6\/15 - (-13377)\/(-30). Let h = p + 461. Find the common denominator of h and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-5)\/10*-6). Suppose w = 5*p - 77 - 63. What is the remainder when 167 is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.7, -3, -5, -2\/173, 35, 5.\nAnswer: -5, -3, -2\/173, 3.7, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 173*w + 5528. What is c(-32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.2, -150, -0.4, 0.2, -0.0695?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61690 + 39*a**2 + 61693 + 78*a**2 to the form k + n*a**2 + y*a and give n.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + (-174)\/8. Let h be 33\/c*4\/3. What are the prime factors of ((-18)\/(-4) + h)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 3*b**2 - b**2)*(-b + b + 2*b**2) + 2*b**4 - b + b + 19*b**4 - b + 1 + 1319*b**2 - 1319*b**2.\nAnswer: 25*b**4 - b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1, 1045, 0, -3\/4?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 2 + 0*o - o + 0*o. Calculate the remainder when 11 is divided by k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 13.8. Let q = b - 0.7. Let n = 1 - 3. What is the nearest to n in 2\/7, 4, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -3) + (1 - 3). Let k = 4 + z. Does 10 divide (-20)\/(-3 + (-5)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304 + -287 - (-1 + 1 + 4 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 593 = 3*t - 3*q, -1241 = 2*t + 5*q. Let z = 4843\/8 + t. Find the common denominator of -79\/4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkk when four letters picked without replacement from zhkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzbbbzzzbzbzz. What is prob of picking 3 z?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -268.2576 - 140.054764\nAnswer: -408.312364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4048, -2\/17, -0.4, 1\/7, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -501*o**3 + 5*o**2 - 9*o - 31. Let n be r(13). What is n rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151436 - -151431. Let n = 0 - 1. Which is the third smallest value? (a) -1\/14 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 8. Let c be d(-6). Let f(p) = 0*p**2 - p**c - p**2. Let l(j) = 0*j**2 + 4*j**2 - 3*j**2. Calculate f(l(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3518 - -3525. Calculate the remainder when 207 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*a = 23, 2*y - 5*a = y + 5. Let j = -24 - -20. What is the smallest value in j, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.851 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwuuwwuwuw. Give prob of sequence uwuw.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = z, -5*z + 30 = p. Suppose -5*t - 3*g + 40 = 0, t - 35 = -t - p*g. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - -2) + (7 + 89 - 144)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131221 and -1.\nAnswer: 131221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16) - ((-21)\/4)\/(-7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:59 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -651, -5142, -17365, -41196, -80511, -139186?\n\"Answer: -646*w**3 + 10*w**2 + w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.4 - -123.3. Which is the closest to m? (a) -36 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-46)\/(t*t**(-5)\/t*t*t\/(((t*(t\/(t\/(t\/t**(-1)*t))*t)\/t)\/t*t)\/t)))**(-7) assuming t is positive.\nAnswer: t**(434\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 8*q + 5. Let j be w(-4). Suppose -2*x - 4 = -j*f + 20*f, -4 = x - f. Which is smaller: 3\/169 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*2 + (sqrt(484) + sqrt(484)*-2)\/sqrt(11))\/(sqrt(180)\/sqrt(5) - 6*(-1*sqrt(4) + sqrt(4))).\nAnswer: 19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -2. Let y = -0.026 - -0.326. Which is the closest to -1? (a) y (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**4 + 61*f**3 - 208*f**2 - 334*f + 777. Let m(k) = -k**4 - 16*k**3 + 52*k**2 + 84*k - 194. Let q(o) = -2*l(o) - 9*m(o). Factor q(a).\nAnswer: (a - 2)**2*(a + 2)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x**3 + x**3 + 3*x**3 + (1 - 1 + 2*x)*(-x**2 - 3*x**2 + 3*x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 2. Suppose -10 = 2*j - 2*s, 5*s - 2 = -j + t. What is the remainder when j - -4 - (2 - 1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15424970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6331*d + 101301. Calculate s(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2.1\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7302, 7301, 7300, 7299, 7298?\n\"Answer: -q + 7303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - f = 1, -b - 3*b = 3*f + 1. Suppose b*x - 6*x - 4*q + 1932 = 0, -3*x - 5*q = -1445. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 - 216. Let j(r) = 3*r + 3. Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -70*f + 26433637. Is f 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 11:07 AM and 5:14 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 327. Let s(t) = t - 653. Give -2*s(a) - 5*x(a).\nAnswer: -2*a - 329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1)*(4 + 0 - 5)*(-120 + 99 + 60)*(1 + 1 + 2).\nAnswer: -156*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*37.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from xamruxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353036 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 0, -15, -46, -99, -180, -295, -450?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 1.6. Let h = 12.6 - 10.5. Let g = 1.8 - h. Which is the nearest to u? (a) 3 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = s - 3. Suppose -4*p - 5 + 14 = -m, -4 = 4*m. Let k be p\/4*(-8)\/1. Sort 4, k, s in increasing order.\nAnswer: s, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*i - 1335*f - 385 = -1340*f, -5 = i - 5*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -936 + 2777\/3. Is -10 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 16. Let v = 10 - 17. Let f be b(v). Let n = 22 + f. Solve k + 4*j + 15 = 0, k + n*j = -0*k - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3851045, 3851047, 3851049, 3851051, 3851053?\nAnswer: 3851055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 11, 1 in descending order.\nAnswer: 11, 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(85) - -2*sqrt(85))\/sqrt(5).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45761993 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845, 847, 849, 851, 853, 855?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2 = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6 + 15*w + 11 - 75*w**2 + 10 - 1 + 112*w**2. Does 35 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1510, 1476, 1416, 1330, 1218, 1080?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6491 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 1. Let d(t) = 6*t**2 + 11*t + 7. Let o(x) = -d(x) + 5*f(x). Let j be o(-15). Solve -5*r + 5 = 5*q, -5*r = j*q - 1 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13874, 14481, 15086, 15689, 16290, 16889, 17486?\n\"Answer: -c**2 + 610*c + 13265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111444 + -71941. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636326743 - 85?\nAnswer: -1636326828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715972 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 260 = 3*f. Let x be (-2)\/(-4)*-1*f. Suppose 4*s - 96 = -4*a, -12 = -a + 3*s + 20. Calculate the highest common divisor of a and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*f - 200 = 473*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb + -5?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 735.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/60 - i**4\/8 + i**3\/6 - 40*i**2. Let y be n(4). Solve 3*o = y*w + 20, 3*w = -o - 4*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 3*x + 5. Calculate the remainder when 42 is divided by t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -4*g, 9*w + 2*g - 10 = 5*w. Suppose u - 4 = -4*h, -w*h + 15 = -5*u + 123. Solve 4*q + 2*i + 15 + 1 = 0, 4*i = -2*q - u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 631 + -6309\/10. Let d be (-2)\/(-4) - 6\/(-4). Suppose d*t + 3 = 1. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + 1 - -3 - 5. Let d be l + -1*(0 + -6). Solve -4 = d*r - 17*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-81)*6\/(-8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, w: 7}. What is prob of picking 1 w and 3 i?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 8 = -7*f. Let t = 5 - 3. Let h = t - 2. What is the smallest value in 0.5, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228703 is divided by 114351.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in -1\/3, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-165) - 23\/92*7944\/22?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o - 103. Let p be f(6). Suppose 5*h = 3*s - 20, 0*h = -p*s + 4*h + 16. Solve 0 = 4*j - a + 12, 2*j + 4*a + 24 = -s*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657721 - 117235 = -52*o. List the prime factors of o.\nAnswer: 7, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 9\/5, 0.09, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*r = -13, -4*r = -2*z + 12 + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 340038.\nAnswer: 2\/170019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4355413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95731062 and 246412?\nAnswer: 191462124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3454, 3948, 4774, 5932, 7422, 9244?\nAnswer: 11398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/11, -0.8, 0.1 in ascending order.\nAnswer: -0.8, -5\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.774 and -3.8.\nAnswer: 1.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-65) - 14546\/1638. Let i = 610\/63 + b. Factor -i*o + 0 + 8\/7*o**2 - 4\/7*o**3.\nAnswer: -4*o*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*m**3 + m**2*r + 49*m**2 + 577155*r wrt m?\nAnswer: 63*m**2 + 2*m*r + 98*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -755, -829, -913, -1007, -1111, -1225?\n\"Answer: -5*d**2 - 59*d - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 33516919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3*g**3 - g**3 - 2 + 1584*g**2 + 14 - 1536*g**2.\nAnswer: 2*g**3 + 48*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:51 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.456 litres to millilitres.\nAnswer: 61456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002046648489 rounded to 7 dps?\nAnswer: 0.0002047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 412, 412, 414?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s**3*s))\/s)\/s)\/s**(-1\/5))\/(s**(-4)\/((s**(-2\/11)\/s)\/s*s)))\/(s**(1\/9)*s**7*s)**(-46) assuming s is positive.\nAnswer: s**(183709\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ccccccccdccdcccccccc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 19028*s - 247383. What is a(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b + 40. Calculate v(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x)**(15\/8)*(x*x**0)**36 assuming x is positive.\nAnswer: x**(591\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48468, -48461, -48440, -48399, -48332, -48233?\nAnswer: -48096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1905*o**2 + 3672*o - 2. Give b(2).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyjmmyqy. What is prob of picking 2 y and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 9 = -8*i + f, -23 = 3*i + 5*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4070*v**4 - 75*v**3 - 2771648*v wrt v.\nAnswer: -48840*v**2 - 450*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*x + 437, 300 = -4*y + 2*y - x. Is -149 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -0.37. Let w = 3 + 1. Let u be (-1)\/w - (-5)\/(-4). What is the closest to 0.1 in k, u, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*c**4 - 34*c**4 + 5765*c**3 + 79 - 5765*c**3 wrt c.\nAnswer: 372*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60591348*x**3 - 77918*x - 1911?\nAnswer: -363548088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1214737\/42 - 28926. What is the common denominator of k and 97\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/614 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*u + 22, 2*h - u = -2*h - 16. Let d = 30811\/1098 - 1200\/61. Find the common denominator of d and (-61)\/(-28) + h\/12.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let s be v(3). Let l be 121\/22 - (-5)\/2. Suppose w + l = s*w. Sort w, -13, 3, -4 in descending order.\nAnswer: 3, w, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2593431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5161 - 6558.785.\nAnswer: -1397.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -j + 6 + 8, 0 = -k + 5*j + 26. Suppose -2*i = -k*i. What is the common denominator of (-29)\/(-11) - i\/3 and 109\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91951.98067 to the nearest one hundred.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6572303711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-35) + ((-31832)\/(-44634) - (-4)\/(-86)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 19*n**2 - 15*n + 51. Let q be b(-18). Let g(m) = m**2 - 5*m - 6. Let s be g(6). Put 5, q, -5, s in ascending order.\nAnswer: -5, q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a**(-2\/7)\/a)\/a)\/a)*a\/a**3*(a*a**6)\/(a**(3\/10)*a))**46)**27 assuming a is positive.\nAnswer: a**(347139\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - -0.04. Let b(c) = -2*c**3 + 3*c**2 + c - 2. Let p be b(2). Sort p, i, 1 in decreasing order.\nAnswer: 1, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 4 (c) 336 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1747139, 6988593, 15724351, 27954413?\n\"Answer: 1747152*r**2 - 2*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + (-15)\/(-2). What is the remainder when 53 is divided by (2 + 25)*b\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7408 = 5*d, 5943 = 5*d + v - 1461. Does 47 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 3*v**2\/2 - 8*v + 5. Let n be q(4). Let h(g) = -7*g**3 - 3*g**2 + g - 5. Is h(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (-90111)\/(-51) - (-18)\/153.\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -2 (c) 14172 (d) 1 (e) 5 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*w + 2*w + 4)*(-4*w**4 + 38*w**2 - 38*w**2).\nAnswer: -8*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3055 - 6109\/2. Which is the closest to 0? (a) 1\/96 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -0*t - 16. Suppose -9*s + 28 = -t*s. Suppose s*w - 407 - 93 = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 77 + 24 + 30 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 16 + 24, 0 = -13*b - 3*o - 51 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 27, 2\/5, 6, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 234, 799, 1902, 3723?\n\"Answer: 30*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 11*b**3\/3 - 17*b**2 - 3396. Let t(w) = -5*w**2. Give q(t(m)).\nAnswer: 275*m**4 + 170*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2784920 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -45. Solve -4*a - 4*o = 0, -2*a + o + s = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 3*v + 15, 0 = 5*p - 4*v + 20. Let t(i) be the first derivative of -i**2\/2 + 15*i - 3. Let g be t(0). Solve p = c + 2*c + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*d + 21 = 0, -6*d + 5*d = 5*s - 5. Solve 2 = 2*w - s*x, 0 = 4*x + x + 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and (-310)\/48 - (-11)\/11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343685, 343690, 343695, 343700?\nAnswer: 343705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g - 2*g - 10*g + 42*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 2 q when four letters picked without replacement from {b: 3, i: 1, g: 1, x: 3, q: 5, r: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t - 3. Let j be o(-2). What is the greatest common factor of j and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) - -3*sqrt(539)*-1))*-3 + 0)**2.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114818223 is divided by 3275.\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/15 + o**4\/24 - 472*o**2. Let z = -2 + 3. Does 7 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 - 916*d - 52812. Let f(w) = -w - 22. Let l(u) = c(u) + 4*f(u). Determine z, given that l(z) = 0.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-2 + -1 + 2). Let y be 7946\/(-8) - (-1)\/(-12)*r. Let f = 62 - y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 27857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 12 = -x + 6, 4*q = -5*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1103 or 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h**2 + 92*h - 72 = 0. Calculate h.\nAnswer: 1, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -3, 88.\nAnswer: -3, 2, 16, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 277000000 to the nearest one million.\nAnswer: 277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1670515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, 1, -88 in increasing order.\nAnswer: -88, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 5*h**3 + 0 - 2*h**2 - 2 + 67*h**4 - 64*h**4 to the form t*h**4 + y + f*h**2 + v*h**3 + a*h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -10*j**4 - 6*j + 9355 + 5*j**5 + 75*j**2 - 9445 - 49*j**3 + 51*j + 25*j**2 - j**3 = 0?\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-60)\/(-15)))\/8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -122\/2033 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5840 + 5843 + 4*o**2 - o**4 - 2*o**2 - o - 2*o**3 in the form h*o**2 + i*o**3 + n*o + g*o**4 + k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6723 = 23*z - 7160 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14036, 28323, 42624, 56945, 71292?\nAnswer: 85671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(6*(sqrt(4) + sqrt(36)\/sqrt(9))).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbjbjjxbjbxjxjjjjx. Give prob of picking 2 j and 1 b.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624307133?\nAnswer: 17, 36723949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.95\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpfxpppgffpgg. Give prob of sequence ggx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.7381 - -17.61. Round u to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/537544978 and 101\/8.\nAnswer: 2150179912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 18*t**2 - 13*t - 13. Let q = 43 - 34. Let b = q + 8. What is the tens digit of n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2, -108113\/218, 3.\nAnswer: -108113\/218, -2, -4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10528 divided by -2632?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ubbbubububbbuubuuu?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 3. Let s = 0.2 + 0.1. Suppose -3*y + 2*z - 21 = 0, 4*z = -y + 6*y + 37. Which is the closest to f? (a) 3\/8 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:01 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.2.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2*85\/((-9350)\/(-132)))\/(195\/125)?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 22*l\/7 - 8.\nAnswer: -2*(l - 7)*(l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**5 + 2*n**3 + 2*n**2. Let h(a) = -16*a**5 + 11*a**3 + 10*a**2. Let y(t) = 6*h(t) - 33*s(t). Find the third derivative of y(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9645 = -8*i + 5*i, z - 3215 = 2*i. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-1 + sqrt(11)*3 + -2 - 2*(sqrt(396) + (sqrt(396) + (sqrt(396) - -2*sqrt(396)))**2*-4).\nAnswer: -10*sqrt(11) + 50686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.238607 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 + 8*l + 10. Let p be s(-7). Let o(g) = 15*g**p + 5*g - 3*g**3 - 11*g**3 - 4*g**2. Is o(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/30)\/((-1)\/2). Find the common denominator of (-27)\/15*((-11)\/(-2) + h) and 3\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*j = -5679, 0*i = -2*i + j + 2272. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -309 - -671\/2. Find the common denominator of 7\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 6*i**3 - i)*(4 - 1 - 4)*(-2*i**2 + 2*i**2 + 2*i**2) - 26*i**5 - 23*i**5 + 87*i**5.\nAnswer: 26*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537538274.\nAnswer: 2, 19, 43, 89, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-9 - (7 + -14))) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 292?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from bbbbvbvbbbbbvv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 4 + -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2146321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 740, 107, -142?\nAnswer: 740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1864 and 565957.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 35913?\nAnswer: 395043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 463501879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-14))\/(2\/2). Let o = -174.132 - -0.132. Let n = o + 174.5. Which is the closest to 0.8? (a) y (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-3\/10)*d)*d*d\/(d*d*d\/d**(2\/23))*d*d*d*d**(-2\/31)*d**(-27)\/d assuming d is positive.\nAnswer: d**(-194489\/7130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3476*s - 4734*s + 1929*s - 2791*s.\nAnswer: -9072*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171678 or 171684?\nAnswer: 171678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 363027, 726052, 1089077?\n\"Answer: 363025*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2233 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 38*l**2. Let o(k) be the second derivative of 0*k**2 + 0*k**3 + 1\/6*k**4 + 0 - 3*k. Calculate o(m(c)).\nAnswer: 2888*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5201*k - 83206. What is q(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39050*k + 0 + 5 = 39051*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*a - 17, -91*a + 27 = -96*a + 3*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -55919*m + 1286142. Calculate c(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5437 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*a - 1821, 1801 = -4*z + 7*z - 2*a. Calculate the smallest common multiple of z and 9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0487 + -0.3513. Put 1\/7, 0.1, -0.2, -1, v in ascending order.\nAnswer: -1, v, -0.2, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 - 213298*s + 213287*s + 1077.\nAnswer: -11*s + 1651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*f + 48, -5*m + 82 = 6*f + 43. Solve -71 = -f*k - 44 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 5.6.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683 = -4*f + 5*h + 295, -2*f + 5*h + 494 = 0. Sort -5, f, 0, 2 in ascending order.\nAnswer: -5, 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.6705250477391 - 15\nAnswer: -18.6705250477391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48028223910 take away -1?\nAnswer: 48028223911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 215544?\nAnswer: -215521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*w - 154*w = t - 37, -25 = -5*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 2. Let n = 0 - -5. Let z(j) = j**3 - 4*j**2 - 6*j + 7. Let m be z(n). Let l(y) = -4 - 17*y - 7 + y. Give m*l(q) + 11*x(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3657493?\nAnswer: 7, 47, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7 = 5*b - 8, -3*b - 19 = 4*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghz when three letters picked without replacement from {h: 1, g: 2, z: 7}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2154.98 - -2155. Which is the third smallest value? (a) 0 (b) -28 (c) n (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-7))\/(267\/(-890))*3\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1507824*u**2. Let z(g) = 10*g**2. Calculate q(z(v)).\nAnswer: 150782400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 18 - 770)*(i**2 - i + i + i**2 + 0*i**2 - 2*i**2 + (-i - i + 4*i)*(-4*i + i + i)).\nAnswer: 3036*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c + 19. Let y = c - 3. Suppose -f + y*f = 26. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 9. Let p(f) = 6*f + 10. Suppose 2*t - 4*k + 2*k - 22 = 0, 0 = -4*t - 2*k + 20. What is t*v(r) - 6*p(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (65\/(-26))\/((-132)\/128). Is a at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1177923.99915 - -1177955. Let y = b + -31. What is y rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7305)\/(-17045))\/(28\/(-105)*-27*3\/(-42))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/402470 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -206 - -82?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 3*d. Solve 2*f + d*z = 4*z + 12, -f + z - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22754 + -22497. What is the remainder when h is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 - 2)*(-h**4 + 14*h - 14*h) - 4*h**4 + 3*h**4 - h**4 in the form z*h + l*h**3 + c*h**4 + t + u*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*3)\/(sqrt(10) + 3*sqrt(30)\/sqrt(3)) + 2.\nAnswer: 2 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3651 - 46?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7719814 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050065 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4871.817435+0.03\nAnswer: -4871.787435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4319*y**3 + 1185*y + 80393357.\nAnswer: -12957*y**2 + 1185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9185.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*i - 8 = -304*i. Let o(q) = 109*q - 24. List the prime factors of o(i).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -43095.\nAnswer: -43095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in -3\/1589, -0.5, -1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43165 divided by -185?\nAnswer: -8633\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-6))**22\/((r**(2\/7))**(-2\/81)*(r*r**(-2\/11))\/r*r**4) assuming r is positive.\nAnswer: r**(-847054\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5278 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a92 - -3?\nAnswer: 2a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 21*c**2 + 21*c + 22. Let r be x(22). Suppose r = -27*j + 32*j + 5. Which is smaller: j or 2\/25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - n + 2. Let j(m) = -3*m**2 - 2*m + 5. Suppose 5*i - 3*c + 22 = 0, -2*i = -0*i + c. Calculate i*j(p) + 5*x(p).\nAnswer: -4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 259801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w**2 - 3*w + 2)*(4 + 3*w**2 - 4)*(1 - 4 + 14).\nAnswer: -66*w**4 + 66*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) + (-2*sqrt(1053) - sqrt(1053)) + 1))**2.\nAnswer: -324*sqrt(13) + 37917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/2 + r**2 - r\/2 - 1 = 0 for r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 72, 1\/5, -3495, 6\/7, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 237 + -424. Let a = -178 - r. What is the nearest to a in -0.5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/210 and -41\/4650.\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 + z**5\/4 - 5*z**4\/8 - z**3 + 2*z**2. Suppose 2*r = -4*o + 62, -2*r = -o + 6 - 3. What is the units digit of s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + 0.1. What is the nearest to 2 in -1, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -128\/3. Let m = -40 - -164.8. Let p = m - 125. Which is the smallest value? (a) p (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -202101?\nAnswer: 202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from {i: 1, c: 5, f: 2, d: 4, l: 2}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let a = -4831 - -4836. Suppose 5*h + 3*p = p, 0 = a*h + z*p - 10. What is h rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/5 + 8*g**4\/5 + 6*g**3\/5 - 8*g**2\/5 - 8*g\/5 = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 0 - (-189 + 234 - 129)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 3*m**3 + 4*m**3)*(4*m - 3*m**2 - 4*m) - m**2 + m**5 + m**2 + (-1704 - 11*m + 1704)*(2*m**4 - 5*m**4 + 0*m**4).\nAnswer: 37*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9 - 4 - -3 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e5 (base 15) to base 3.\nAnswer: -11220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 4*x**2 + 2*x - 1. Let b be t(-4). Let v be b\/12 - (-1)\/(-4). Let y = -2 - 0. Is y > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28.15, -83, -717?\nAnswer: -717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*w = -61*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-89)\/1 - (0 - 1). Let o = b - -40. Let w = -28 - o. Solve 2*z - 4*j + j + w = 0, -4 = 3*z + 2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 8:55 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -3*x**6\/40 - 2*x**5\/15 - x**4\/3 + 11*x**3\/6 - 2558*x**2. Let s(v) = -3*v**3 - 3*v**2 - 3*v + 4. What is 4*h(d) - 11*s(d)?\nAnswer: -3*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = j + 18, 5*t + 215*j = 218*j - 42 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (287 - 287 - 168*u)*(-1 + 1 - u) to the form x*u**2 + z*u + a and give x.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/(-10))\/(3\/6). Let j be (6\/(-4))\/(k - 2). Let q = -1 - -1.1. Which is the closest to q? (a) 0.3 (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218 and -33.\nAnswer: -7194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21022010012 + 2?\nAnswer: -21022010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345303195.\nAnswer: 5, 83, 5651333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/12 - o**3\/6 + 13*o**2. Let j be u(-1). Which is the second smallest value? (a) -1\/8 (b) -2 (c) j (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**2\/7 + 230518*b\/7 - 153676\/7 = 0. What is b?\nAnswer: 2\/3, 38419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 15*w = -19*w + 125 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/3 - 3*i. Let n(f) = 3*f**2 + f**2 - 2*f**2. Calculate n(p(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 41 (b) -0.02 (c) -4.9 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:28 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*u - 376*u - 204 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12042634.5 seconds to days.\nAnswer: 139.38234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(((-144)\/(-126))\/(4\/14)). Suppose -4*s + 5*h + 25 = -y*h, -4*h + 12 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-33) - (-2)\/6. Let l be 4 - 1*(-2 - b). What is the second smallest value in -1\/7, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -3 + 32 + 31?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522688 by 3.\nAnswer: -522688\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/459, 4, 2\/11?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*i + 1990 = -938 - 393 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*m + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14355204.000216 + -14355310. Let t = s + 106. Round t to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6327, 9784, 13241, 16698, 20155?\n\"Answer: 3457*h + 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)*12660*(-15 - -17). Round x to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 55 + 30 = 0. Let b(t) = -t**3 + 7*t**2 - 7*t + 8. Let k be b(6). Solve -a = -k*a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/31806 and 113\/33858.\nAnswer: 1049598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*d**2 - 2*d**2 - d**2)*(0 + 0 + 2) + 5*d**2 - 4*d**2 + 0*d**2 + 3 - 2*d**2 - 3)*(-5*d + 13*d + 2*d).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885093 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 20539*g**3*z - 152*g**2 - 484*g*z wrt g?\nAnswer: 60*g**2 - 123234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(396))**2.\nAnswer: 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 2\/3115, 0.1, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/515 equal to 302.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 0, -8*j + 5*n = -6*j - 247. Calculate the greatest common divisor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 6*f**2 - 579*f + 5272. Give a(9).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/4). Let w = z + 1. Let p be (-2)\/(-2 - 0) + -6 + 8. Solve w = -t - p - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**6*y*y**24)\/(y**(-11))**(-46))**40 assuming y is positive.\nAnswer: y**(-19440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/6 + (-4)\/6. Suppose 0 = -0*m - m + 2. Is y less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 + 2*j - 2. Let l be p(-4). Suppose -5*o + 3*o = 2*n - l, -o - 3*n = -7. Let k be -1*(-2 + 1 + o). Solve k = -7*r + 4*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171863918 and 99847?\nAnswer: 1890503098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w + 2. Let d be 4 + (-2 - -2 - 3). Suppose 2*z - 7*z = -60. Let h(v) = -v + z - 20 + 7. Calculate d*b(f) + 4*h(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 68547*l**3 - 51*l**2 + 49*l. Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -408 + -5c06?\nAnswer: -6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519343 divided by -341.\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**5 + 170*n**4 - 470*n**3 + 140*n**2 + 475*n - 310 = 0. Calculate n.\nAnswer: -1, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 41\/300635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/5 (c) -10 (d) 0 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*w - 18, 8*w + 3*f = 7*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(144))\/sqrt(9))\/(-2*sqrt(50)) + (sqrt(126)*-1 + sqrt(126))\/((1*sqrt(84))\/sqrt(12) + sqrt(7)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 32. Let n be 8\/10*(-20)\/z. Suppose -3*u + 205 = k + n*u, 5*k - 1088 = -4*u. Calculate the highest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 70\/(-315) - -2*130\/36. Let f(k) = -k**3 + 7*k**2 - k - 16. Determine f(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 646484\/(-6532) + 103 + -5 + (-1 - -2)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3*o + o)*(-17*o + 10*o - 32*o)*(11 - 3 + 14) to a*o + x + n*o**2 and give n.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*r = 181, -2*r + r + 809 = 4*g. Suppose -23*v = -20*v - g. Calculate the remainder when v is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkakkkak. What is prob of picking 1 k and 2 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -161*y**3\/3 - 49*y**2\/2 - 49*y + 79. Let r(s) = 20*s**2 + 6*s + 6. Calculate -6*b(v) - 49*r(v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l*l**(4\/3)*l*l)\/((l*l*l**(6\/7)\/l)\/(l**(-2\/3)\/l)) assuming l is positive.\nAnswer: l**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - v**2 - 3*v + 5. What are the prime factors of i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c261 (base 15) to base 14.\nAnswer: -39bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3.36, 0.5, 0.13, -5 in decreasing order.\nAnswer: 2, 0.5, 0.13, -3.36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 5*p + 6. Let d be q(4). What is the highest common divisor of 50 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2535593 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -679, 187 in increasing order.\nAnswer: -679, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5760376 or 0?\nAnswer: -3\/5760376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 325, 601, 1139, 1933, 2977, 4265, 5791?\n\"Answer: -s**3 + 137*s**2 - 128*s + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Let i = -205.4 + 206. What is the closest to -1 in g, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*q**3 - 1 - 310*q**3 + 154*q**3 + 1.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbqqnqqbnnnnqqq. Give prob of picking 2 q and 1 n.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*f**2*o*q**4 + 4*f**2*o*q + 906*f**2 + 88*f*o*q**2 + o*q wrt q?\nAnswer: 2328*f**2*o*q**2 + 176*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/8)*c\/c**29*c**(-1\/11)\/((c**(2\/59)*c)\/c) assuming c is positive.\nAnswer: c**(-149269\/5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.3. Let f = 121.04 + -123. Let s = -0.04 + f. Which is the nearest to j? (a) 3 (b) -3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-one halves of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0 - 1\/6*u**3 + 31*u - 3*u**2 + 25\/24*u**4. Let y(t) be the first derivative of v(t). Differentiate y(b) wrt b.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*3\/(-6)*3. Let d = z + 19. Find p such that -6*p**2 - d*p**3 + 3 + 8*p**2 - 3 + 4*p - 2*p**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124 divided by -1465?\nAnswer: -2124\/1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905 and 63531?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2. Let r(p) = 25*p**3 - 20*p**2 - 15*p - 10. Let k = 39 + -19. Let a(j) = k*i(j) + r(j). Factor a(o).\nAnswer: 5*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735 (base 8) to base 13\nAnswer: -2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*f - 4. Let d be 2 - 121\/69 - 2\/6. Sort 4, f, d.\nAnswer: f, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 13297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 11*g + 10. Let u(z) = 2*z**2 + 12*z - 10. Let m(p) = -2*u(p) - 3*w(p). Let i be m(7). Suppose a - 2*y = 0, y + i - 5 = 0. Is 2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 78?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and -5569.886577.\nAnswer: -5569.726577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/9)*q)\/((q\/((q*q**17)\/q*q))\/q*q*q))\/((q\/((q*q**(14\/5)*q*q*q)\/q)*q*q)\/q**(-13\/4)) assuming q is positive.\nAnswer: q**(3199\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d. Let q(t) be the third derivative of -t**6\/180 + t**3\/6 + 6*t**2. Let g(n) be the first derivative of q(n). What is g(p(y))?\nAnswer: -98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310315713 to the power of 1\/2, to the nearest integer?\nAnswer: 17616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70854 is divided by 35342?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 373323133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**2 - 601*y - 35. Determine p(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 15*h**2\/4 - h\/2 - 2 = 0.\nAnswer: -2\/3, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 2}. What is prob of sequence dj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Let i(s) = -75*s**3 - 150. Calculate -i(y) - 150*o(y).\nAnswer: 75*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37.01 in -4, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*p + 5*x = -112*p + 15, x + 20 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*o - 8520, -2*o + 2564 - 8969 = -3*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1 - -1)\/1. Let o be 16\/(-352) + 712\/176. Solve a - o = -m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 661 + 339 - 25*w - 10*w**3 + 1030*w - 1995*w**2.\nAnswer: -5*(w - 1)*(w + 200)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 360 and 362 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 11*f + 9. Give l(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + m**3 - 109*m - 102*m + 213*m - 13*m**4 to the form k*m**4 + x*m**2 + a + u*m**3 + f*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195401 - 195369.0004. Let b = z - 32. What is b rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let y(p) = -4*p + 54. Give t(y(x)).\nAnswer: 32*x**2 - 864*x + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 136, 214, 296?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 167, -16.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 12*s. Let l be k(-6). What is the closest to -9 in 5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*a + 7159 - 7159.\nAnswer: 573*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 52346*s**3 + 52365*s**3 + 1 + s**2 + 1 to the form x + y*s**2 + j*s**3 + n*s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 3 - f)*(3 + 3 - 4).\nAnswer: -2*f - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.008 (b) 3 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63.13 and -4.\nAnswer: -252.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 92?\nAnswer: -79\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 3, -2\/9, -2\/47, 9, 0 in descending order.\nAnswer: 9, 3, 0, -2\/47, -0.1, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14835045*i**5 - 299*i**2 + 2*i + 455 wrt i.\nAnswer: 890102700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/177 and -73\/3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27257.05*-0.109\nAnswer: -2971.01845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 434 - 94 = 0. Let n = -728 + u. Let g = -415 - n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 11*n**2 + 9*n + 78. Let o be z(-11). Let i(b) = -b**2 - 15*b + 124. Let u be i(o). Let s = 3 - 2. Is u greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1792 + 1809.03. Let h = -17 + t. Put 0.5, 5, h in decreasing order.\nAnswer: 5, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpt when three letters picked without replacement from {r: 3, t: 3, o: 2, p: 9, f: 1, x: 2}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4 - 19*c**2 + 7*c + 20*c**2 + c. What is h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3473058 to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbqqqtttqtqqq. Give prob of sequence bq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmmzzm. Give prob of sequence zmz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543408463 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24507, 51056, 77605, 104154, 130703?\n\"Answer: 26549*j - 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281731 is divided by 204?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 39*x + 258. Let t be g(-6). Let u(q) = -q**2 - 16*q - 54. Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfezfwegofwzoozz. Give prob of sequence zf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -257*g**5\/30 - 81*g**4\/8 - 310*g**2 - g. What is the second derivative of y(z) wrt z?\nAnswer: -1028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023637895 to 5 dps.\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 181110000 to the nearest one million.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276759378?\nAnswer: 2, 19, 33598931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1620662\/239 - 6781. Which is the closest to 1? (a) l (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -26*j - 30. Let o be r(-4). Suppose 20 = -5*s + 4*s + 3*i, o = -5*s + 2*i. Let n be 2*(4\/s)\/((-2)\/14). Solve -4*m - 16 = n*l, 2*l + 2 = -m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 25. Let g(y) = 154*y - 18. Let f be g(1). Let s be (-14)\/f*-2*(-216)\/(-378). Which is the closest to -1\/2? (a) -1 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*s + 21, 41*l - 44*l - 2*s + 16 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12416*c**3*g - 46962*c**3 + c**2*g wrt g.\nAnswer: -12416*c**3 + c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -62*a + 3. Calculate the remainder when u(-3) is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223931 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -56*z**2 - 4843*z - 50. Does 48 divide w(-86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -6*i + 2*i - 11, -3 = -3*o. Let u be (12 - -1)*(-12)\/i. Suppose -u = -2*n - 9. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*s**5 - 108*s**4 + 270*s**3 - 84*s**2 - 45*s = 0. What is s?\nAnswer: -5, -3\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634892 is divided by 13794?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051204313 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.209514 decades?\nAnswer: 745.14168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 114. What is the highest common divisor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d*d**(-3\/7)*d*d)**(11\/3)*((d*d*d**(1\/3))**(34\/9))**29 assuming d is positive.\nAnswer: d**(48710\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 141 - 244 - j + 105 - 22*j**4 to the form h*j**3 + b + z*j + k*j**4 + f*j**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**39)\/(h**4*h))\/((h*h\/(h*h**(-35)*h*h))\/(h\/(h\/h**(-3\/17)))))**(2\/71) assuming h is positive.\nAnswer: h**(28\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102302 + 2?\nAnswer: 11102310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -44*c - 7. Let t be v(-2). Suppose 0 = 2*s - 3*o - t, 2*s + 0*o - 75 = 5*o. Suppose -2*l + 3*l = s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 4 - (sqrt(275)*-4)**2)*-4.\nAnswer: -44*sqrt(11) + 17584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 + 6 - 4 - 5*w. List the prime factors of u(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*k + 9 - 3 = 0, 3*k = -4*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 1, o: 3}. What is prob of sequence oyoz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.077410223 and 0.235.\nAnswer: 0.312410223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 1, d: 1, y: 1, n: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))\/h**(-22))\/((h\/h**36)\/h)**(-3\/32) assuming h is positive.\nAnswer: h**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 676*m - 30238. What is j(61)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 43587*z**2 - 161347032*z + 21891788028.\nAnswer: -3*(z - 7194)**2*(z - 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1352997*t**2 - 1062134 wrt t.\nAnswer: -2705994*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253005404 (base 6) to base 16.\nAnswer: 4ac50c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 0*l - 107 - 2*l.\nAnswer: -2*l - 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 3*j**3 - 3*j**3 - 5*j**3 + 2*j**3 + 4*j**3 - j + j - j**3 + (3*j - 2*j + 0*j)*(-2 - j**2 + 2) - 2*j**2 + 2*j**2 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53998144278 + 537.\nAnswer: 536.46001855722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922419 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + 2119\/156. Let u = o + -125\/24. What is the common denominator of 83\/20 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004677199 to five dps.\nAnswer: 0.00468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - 2*c - 12*c)*(-1 - 2 + 839*c - 897*c) in the form h + k*c**2 + r*c and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 13 = z, 22*z - 25*z - 3 = -6*l for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207027 - 207027 - 63*v**3 + 23*v**3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14206851751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.02 - 0.02. Let u be ((-25)\/12 - 0) + 2. Let g = 9\/20 + -13\/20. What is the biggest value in u, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 32\/9.\nAnswer: 2*(r - 4)*(r + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 3792*v**3 + 67608*v**2 - 404352*v + 807408 = 0. What is v?\nAnswer: 6, 1246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262 or 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3199 - -3199. What is the closest to w in 13, -2\/7, 1\/12, -2\/11?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 4. Let m = 41 + -41. Let q be p(m). Determine b so that -21*b**2 - b**4 + 17*b**4 + 8*b**3 - 12*b**5 + q*b + 5*b**2 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61458313.\nAnswer: 7, 587, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 2*d + 4*n, 271*d - 76 = 275*d + 3*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 97*d - 94*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-7\/3)*(b\/(b*b*b**(1\/5)))\/b*((b**18\/b)\/b)\/(b\/b**2) assuming b is positive.\nAnswer: b**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 74 = -4*b, -2*b - 2*i + 34 = 2*i. Suppose 59*p - 180 = 54*p. Calculate the remainder when p is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -8, -2, 4?\n\"Answer: 6*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000876836436 rounded to seven dps?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 930, 897, 846, 771, 666?\n\"Answer: -q**3 - 3*q**2 - 17*q + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -7.\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -11 + 12 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**5\/20 - 11*n**4\/12 - 5*n**3\/3 + 11*n**2\/2 - 39*n - 37. Let f(t) be the first derivative of g(t). What is f(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166164.000070431 - -166164. Round b to six dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-6)\/3))\/(3\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 28*b**3 - 3*b + 4. Let o be y(2). Calculate the greatest common divisor of 481 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkkfxkkx. What is prob of sequence xxk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.4 - 27.8. Let c = p - -13.4. What is the second biggest value in 11, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.9 - 10. Let f = 1 - 4. Let m = 12 - 7. Which is the nearest to z? (a) -0.4 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:30 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2295747542 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -46. What is the units digit of 1 - (-1 + r + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 984, 3925, 8828, 15693, 24520, 35309?\nAnswer: 48060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/32 and -37\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -52. Let b = q + 31. Find the third derivative of -z**6 - 8*z**2 + b*z**2 + 4*z**2 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111537572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m - 12. Let z(r) = -r. Let l(a) = -w(a) + 6*z(a). Suppose 6*d - 23*d + 391 = 0. What is the remainder when d is divided by l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 4. Which is the closest to 1? (a) -2 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 97*v**2 - 189*v + 129. Determine s(-95).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231444.\nAnswer: 2, 31, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a second in milliseconds?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 79*d + 425. Let t be z(-8). Calculate the highest common divisor of t and 826.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*x*x**(6\/25))\/x)*x*x*x\/(x**(1\/22)*x))\/((x\/(x\/(x*x**(5\/8)*x))*x)\/x*x\/(x*x*x\/(x*x**15*x)*x*x)) assuming x is positive.\nAnswer: x**(-32803\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52367*j**5 - 7565*j.\nAnswer: 1047340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 15dc?\nAnswer: -15d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2 - 1)*2. Let z be -6*(-6)\/72*(1 - -9). Suppose 0 = w - 3*r - 3, 0 = -w + 4*r + r + z. Solve w = x*s - 6*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h. Let z = 5 + h. Is z greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32333078*b**2*l**2*n - b**2*l**2 + b**2*l*n - b**2*l - 2*b*l + 33430*b - l**2 - 3 wrt n.\nAnswer: -32333078*b**2*l**2 + b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -342 + 571. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(39\/(-104))*1. What is the closest to 2\/11 in -2, m, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25935728 and 1316.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-22)*((-11)\/(-11))\/(-2)*4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*n = 40, -170*s + 168*s = -7*n + 130 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {t: 2, v: 1, f: 1, b: 5, p: 1, u: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:16 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 1. Let m be i(-4). Suppose u = -u + 4. Suppose u + 7 = m*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 308000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27196448 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 + 5*r**2 + 4*r + 5. Let h(g) be the first derivative of 2 + 7*g + 3*g**2 + 7\/3*g**3 + 5\/2*g**4. Determine 5*h(p) - 7*j(p).\nAnswer: p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-3192)\/80)*14\/(-8).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 137) + 7 - -121.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 8 - 2 + 8 - 475*z + 475*z.\nAnswer: -9*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g\/g**8)\/(g*g\/g**(3\/11)*g*g**3*g) assuming g is positive.\nAnswer: g**(-217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**4 + 7*r**3 - 7*r + 4. Let i = 12 - 6. Let u(d) = -5*d**4 + 6*d**3 - 6*d + 3. Let q(n) = i*l(n) - 7*u(n). Differentiate q(m) with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24026, -48041, -72058, -96077?\nAnswer: -120098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38469196 rounded to the nearest 1000?\nAnswer: -38469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 10, i: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, k: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 337875047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318608 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -183*c - 5456. Let g be h(-30). Solve 4*s = 6 - g for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 1274?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - 382*w**2 - 191*w - 209. What is b(96)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -13*h + 100. Suppose -3*y = -j - 3, 5*y - 19 = -5*j + 2*j. Solve h*d - 4 = j*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t - 3. Let n be l(-5). Let o = n + 4. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9139, 9169, 9219, 9289, 9379, 9489, 9619?\nAnswer: 9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 11886\/(-12))*-14*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*v + 7*r + 19, -5*v = 3*r - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6f24 (base 16) to base 5\nAnswer: -1402302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from hdhmhmxmmpp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - l**4\/6 + l**3\/2 + 5*l**2\/2 + 205*l. Let s(b) = -b**3 + 2*b**2 - 2*b - 4. Calculate -2*h(t) - 3*s(t).\nAnswer: t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*d - 0*z - 6, 5*z + 27 = 4*d. Let x be (12 - 2)\/(d\/21). Calculate the highest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 23. Let s = l - -6. Which is the second smallest value? (a) s (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 4 + -2 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 1264*a**2 + 1276*a - 6249. Calculate i(633).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, -2, -5, 13 in increasing order.\nAnswer: -5, -3, -2, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 - 5*b**2 + 23*b + 5. What is the hundreds digit of g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t. Let s = -607 + 613. Let y(m) = -s + 7 + 358*m**2 - 10 - 360*m**2. What is q(y(v))?\nAnswer: -8*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(2\/3))**(38\/5)\/(x*x\/x**(-1\/11)*x**(-5\/4)) assuming x is positive.\nAnswer: x**(6133\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17164000 is divided by 1861.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (61 - (-29 - -10))) + 15.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*m - m - 2*m)*(0 + 0 - 1) - 2*m - m + 2*m)*(3 - 3 - 3) + 1 + 3*m + 0*m + 0.\nAnswer: 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 8. Let q be f(-7). Suppose -2*w + 259 = 25. Calculate the greatest common factor of w and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j**3 + 172695*j**2 + 302244*j + 129537 = 0. Calculate j.\nAnswer: -1, -3\/4, 14393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 422024241 - 14?\nAnswer: 422024224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 6*h - 6. Let v(t) = 6*t**3 + 17*t + 17. Suppose -16 = 5*u + 14. Suppose 44 - 204 = 2*c. Let k be 1376\/c - 1\/(-5). Give k*r(j) + u*v(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let x be j(6). Let t(k) = -k + 15. Let r be t(x). Suppose r*u + 2*c = 4 + 22, -5*c = -4*u + 73. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542770257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -w - 15, -w = 4*q - 25. Let x(y) = y**3 - 8*y**2 + 7*y - 8. Give x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8 - 15) + 8 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295345 is divided by 185?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767.551 rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 478909 and 4?\nAnswer: 1915636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2358, 1, 3\/4, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (8 - 0) - (103 - (76 - -138)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 36*t - 2. Let b(r) = -7*r**2 - 28*r + 3. Let c(i) = -6*b(i) - 5*u(i). What is the smallest common multiple of 438 and c(7)?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -312, -316?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-3) + (-1)\/3. Factor 13*b**3 - b**4 + 2*b + 2 - 12*b**3 - 3*b - 4*b + w*b**2.\nAnswer: -(b - 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 + 21*l + 2*l + 4*l**2 - 143*l = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b - 1. Let v(r) = 2*r**3 - 26*r**2 + 5*r + 5. Suppose -99 = -212*p + 113. Give p*v(o) + 5*x(o).\nAnswer: 2*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (4 + -1 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 2*t**2 - 3*t - 4. Let s = 13 - 8. Suppose 2*j = -2*j - 12, s*x - j = 38. What is the least common multiple of d(-2) and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 91104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*u + 2511 = 122*u. Sort 2, u, 5, -7, -5 in increasing order.\nAnswer: -7, -5, 2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 9*b**2 + 4*b - 16. Let l be x(9). Let s = -6 + l. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 4, 2, 89, 0, 1 in descending order.\nAnswer: 89, 4, 2, 1, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -243879152 and -3.\nAnswer: 731637456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.460385 days in weeks?\nAnswer: 6.780055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 - 6?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 48 = -5*b - 0*s, 0 = 5*b - 4*s + 33. Let c be (0 - b)*(-1)\/3. Let w be (c\/1)\/((-3)\/10). Calculate the highest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3\/2, -14, -0.2 in descending order.\nAnswer: -0.2, -3\/2, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2457 - -3985. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -242, 36, 2, -16, 14.\nAnswer: -242, -16, -1, 2, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*r - 4*p, 5 = 4*r - p - 0*p. Solve -i + 0*i + 5*l + 17 = r, -4*i + 23 = -5*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(252) - -3*sqrt(252)) - sqrt(56)\/(sqrt(8) + -3*sqrt(32)))**2.\nAnswer: -726*sqrt(7)\/5 + 102712\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 93. Let q = -581 - l. Let n = -281 - q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 2*p - 2*b, 3*b - 7 = -p. Let t be ((-12)\/(-14))\/(p\/504). What is the highest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 21 + (-11 - (5 + -7 + 0))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2590990 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 4*l + 0*l**2 + 3*l**2 - l**4 - 2*l**3 - 2*l**2 as a*l**2 + c*l**4 + w + p*l + i*l**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 18 - (-31 - (-48 + 25))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -53*k + 57*k - 28, -5 = 5*x - 5*k. Solve 9\/7 + 30\/7*r + 4\/7*r**x - 23\/7*r**2 = 0 for r.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1687*o**4 + 2463*o**2.\nAnswer: 40488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*h + 2 - 147*h + 1 - h**4 in the form l*h**3 + w*h**4 + d + j*h + k*h**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 77?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -251\/74034 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + -5 + -9 + 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -46, 0, -2 in descending order.\nAnswer: 3, 0, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 42. What is the smallest value in q, -4, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4574*a + 182186 = 31244 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7933 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 14*g + 18*g + 112 = 0. Solve -34*p - 40 - g = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1871041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) 2\/129 (c) -2\/9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (979\/40139)\/((-10)\/(-4) + -2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-20) + 12\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 41.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t + 238. Determine h(0).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 14. Let s be (-6*d\/4)\/((-2)\/164). Round s to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 24*j**2 - 108*j + 112.\nAnswer: (j - 2)**2*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 40674247?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1088*i**4 - 1089*i**4 - 14*i**2 + 53*i**2 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 50*d**2 - 405*d + 205. Calculate t(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-88660)\/(-2728))\/(15\/18)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 319\/10. Let k = 81\/2 - 46. Let s = 5 + k. What is the smallest value in -3, s, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13400 + 0?\nAnswer: -13400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*((-160)\/(-18) + (-13)\/(-117)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**7\/1155 + g**6\/132 + 55*g**2. Factor o(i).\nAnswer: 2*i**3*(i + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0, 2, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/1519 and 18\/417431.\nAnswer: 12940361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p - 245 - 210 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = -3, -5*m = -4*h + 89. Let l(b) = -b**2 + 21*b + 11. What is the remainder when h is divided by l(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 5, 13, 715, 0, -4 in descending order.\nAnswer: 715, 13, 5, 0, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292237, 292481, 292725, 292969, 293213?\nAnswer: 293457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.5637 + -0.0337. Let a = 7 - i. Let m = a - -0.5393. What is m rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*o + 18*o - 6*o)*(5*o - 3*o - 4*o)*(2 + 1 - 6).\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, o: 5, h: 4}. What is prob of sequence ohv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/364*(-9)\/2*(-8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9993.7 + 9314. What is n rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2 + 2\/1). Let t = 16 - 9. Let z(x) = -x + 11. Let v be z(t). Solve v*u - u - 9 = h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10682451 to 3 decimal places.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -16520?\nAnswer: -16542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6\/((-1 - 4) + (-490)\/(-95)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 12bb?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -2\/111, 4, 2\/5, 0?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/34)\/(((-3)\/(-6))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992100 and 7500.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1662 - 332. What is j rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 0)*((-y + 0*y - y)*(-2*y - 2 + 2) + y**2 - 1 + 1 - 51*y**2 + 16*y**2 - 29*y**2) in the form h*y + o*y**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2248233.2 rounded to the nearest one thousand?\nAnswer: -2248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 338527636 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)*2 + sqrt(104) + sqrt(104) + sqrt(104))\/(sqrt(72)*-5) + ((4 + sqrt(13))*1 + (sqrt(13) - (sqrt(13) + sqrt(208) + -4)))**2.\nAnswer: -727*sqrt(13)\/15 + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81) + sqrt(81)*1)\/sqrt(3) - sqrt(27)*1*6)\/(sqrt(9) + -3*sqrt(27)\/sqrt(3) + sqrt(27)\/sqrt(27)).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 210. What is the highest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147042 is divided by 6873?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from qlqlsrlssllrrslqslr?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 9. Let p be q(8). Suppose 365 = 227*w - 316. Let k be 30\/4*(-16)\/(-24). Sort p, w, 2, k in descending order.\nAnswer: k, w, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25927 - 25927 + 66204*t**3.\nAnswer: 66204*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1534)\/59)\/((-3)\/30*215\/(-86)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1474, -2950, -4424, -5896, -7366, -8834, -10300?\n\"Answer: p**2 - 1479*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 42 = -234 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 3, 5, 16.26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + c - c)*(-3 + 0 + 2) + 3*c - 5*c + c)*(0 + 0 - 2*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6114505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 532 + -407. Calculate the remainder when w is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - -0.02. Let v = 7.3 - 0.3. Let d = 5 - v. Put -5, g, d in decreasing order.\nAnswer: g, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 8*j**2 + 2*j + 11. What is the tens digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1002 - -2237\/2. Let a = m + -116. Sort a, 1\/3, 2\/13, 46 in increasing order.\nAnswer: 2\/13, 1\/3, a, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - f**2 + 124*f + 51. Give o(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 - (6 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(833) - (-5 + -2 + sqrt(833)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 40, 60, 74, 76, 60, 20, -50?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758681?\nAnswer: 7, 11, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.04776 + -0.12919?\nAnswer: -78.17695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52410 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: Let c(l) = 403*l**2 + 28*l + 27. Let z(u) = 80*u**2 + 5*u + 5. Calculate 4*c(v) - 21*z(v).\nAnswer: -68*v**2 + 7*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 123681382*j**2 + 956067734919024*j + 478033898379858.\nAnswer: 2*(j - 15460173)**2*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5927241 and 1373.\nAnswer: 5927241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**5\/60 - 10*o**2 + 1. Let m(r) be the second derivative of b(r). Let a(q) = -2*q + 0 + 0. Give a(m(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4296 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 293, 677, 1211, 1889?\n\"Answer: -l**3 + 84*l**2 - 17*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*((z\/(z*z**(1\/4))*z*z)\/z*z)\/z*z\/((z**(-3\/5)*z)\/z))**(-6\/5) assuming z is positive.\nAnswer: z**(-261\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-8)*6\/55. Let h = -0.8 + 1. Which is the biggest value? (a) 1 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77645551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.322939066 + -0.32296. Round x to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -17. Let h = 9 + v. Which is the third biggest value? (a) 2 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3371728643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -335307 (base 9) in base 3?\nAnswer: -101012100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g - 14*g + 9*g)*(-g + 1 - 1)*(4 - 4 - 2*g**3).\nAnswer: 32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -26230 at most 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -29*q**3\/3 - 27*q. Let k(g) = -3*g - 333*g**2 + 670*g**2 + 3*g - 335*g**2. Give v(k(p)).\nAnswer: -116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 60. Which is the second smallest value? (a) 5 (b) l (c) -4\/3 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -0.5 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 8*n**2 + 5*n - 30. Let b be l(8). Solve 0 = 3*p - 3*h, 8*h = -3*p + 6*h + b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33412 + -4?\nAnswer: -33421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2 + (-3)\/(-3)). Let j = y + 2. Let l(r) = -j*r - 3*r - r - 1. Calculate l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((76\/(-16))\/((-3)\/12)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5042235 (base 7) to base 11\nAnswer: -379866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3\/2, -276, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193009396 to the power of 1\/2, to the nearest integer?\nAnswer: 13893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by -2*(-6 + 9\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06701*-0.3.\nAnswer: -0.020103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113, 152, 217, 308, 425, 568, 737?\n\"Answer: 13*j**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 30*p**3 + p**2. Let f be g(-1). Let d = -1 + -17. Let s = d - f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 81 - 69 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043448 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 16 = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Let u be (-3)\/g*1\/(-3). Let 1\/2*j**2 - u*j**3 + 0 - 1\/2*j**4 + 1\/2*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12563 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(11) + sqrt(11) + 1)**2.\nAnswer: -300 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.45 - 17.65. Sort 5, 13, b.\nAnswer: b, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1)\/((-2)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 500\/900*(-18)\/(-52)*(-4)\/25?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59941 is divided by 19936.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217885?\nAnswer: 5, 43577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/33 + ((-4)\/(-11))\/(-2). Find the third derivative of 0*c**3 - c**2 + 0*c**3 - c**n + 5*c**5 wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -80*q**7\/7 - q**6\/6 + q**4\/4 - 199*q**3\/3 + q**2 + 5*q + 7726. Find the third derivative of n(v) wrt v.\nAnswer: -9600*v**3 - 60*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00422 rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -196572 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -14, -31, -64, -119, -202, -319?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bsbbhhbsshhb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -118577693 and -118577691 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -100*i**3 + 535760*i**2 + 214316*i + 21432 = 0.\nAnswer: -1\/5, 5358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8793, 8792, 8791, 8790, 8789, 8788?\nAnswer: 8787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -139 + (-3 - 15)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139644 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 90.91143mm?\nAnswer: 9.091143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1 - 10 - d**2 + 7*d + 1. Let i be m(6). What are the prime factors of 25\/15 - i\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -0.1, -5, 0.2, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.56402, 1, -4?\nAnswer: -3.56402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324552318615*m - 4*m**3 + 324552318615*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**5 + 6*b**3 - 4*b**2 - 6*b - 8. Let m(w) = -w**3 + w + 1. Let r(p) = g(p) + 6*m(p). Find the third derivative of r(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4 + 0 - (-136482)\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42369 - -42369.1. What is the nearest to -2\/65 in -5\/6, 4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287.123 + 287. Let t = 0.013 + x. Put -4, t, 4 in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/((66\/12)\/11)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose 0 = g*i + 4 - 0. What is the units digit of 1\/i + 15\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - -3.08. Let x = q - 3. Which is the biggest value? (a) 2\/7 (b) x (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08948+-0.0432\nAnswer: -0.13268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21752 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 5148312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4363027212 to the nearest integer?\nAnswer: 66053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/4 + k**3 + 3*k**2\/4 - k - 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 1414*c - 2833. Let i be t(2). What is the nearest to 14\/31 in i, 0.02, 1, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 18. Let u be (-6)\/(-5 - -2) - -25. Let w = y + u. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0*b*b)\/((b\/(((b\/(b*b**(-9)))\/b)\/b))\/b)*((b*b*(b*b**(3\/2))\/b)\/b)**(-2\/27))**(-30\/13))**(-1\/2) assuming b is positive.\nAnswer: b**(1190\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -138b47 (base 13) in base 7?\nAnswer: -4023061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -45. Calculate the lowest common multiple of l and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5 - 29. Suppose -3*y - i = -y. Let u(j) = j**3 + 2*j**2 - 3*j + 2. What is the units digit of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 88 = -5*p, -32 = -14*k + 13*k + p. Calculate the remainder when 169 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1459*p + 8766. Calculate m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10001?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797574222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:28 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*c - 2. Let d be -5*(-156)\/(-806)*2\/6. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158603 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/20 - 4*v**3\/3 + 18*v**2\/5 - 645. Factor i(r).\nAnswer: r*(r - 18)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-33)*9*(-24)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*2*6\/(-72)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48254850 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3876, 3874, 3872, 3870, 3868, 3866?\n\"Answer: -2*j + 3878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t - 1218. What is the remainder when 746 is divided by y(78)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let a be k(5). Find the second derivative of a*r**2 - 2*r**2 - r**4 - 3*r - 3*r**2 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*w**3 + 582*w**3 - 199*w**3 - 199*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6752 - 3*w + 6845 - 13518 to u*w + i and give i.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40388 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + ((sqrt(42) + (sqrt(42) - sqrt(2058)*3))\/sqrt(6))**2).\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*a - 6 = 0, -2*a = 6*o - 5*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2962*11068\nAnswer: -32783416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let l be c\/2 + 138\/100. Let p = 3\/25 + l. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 15, 39, 104.\nAnswer: -9, 3, 15, 39, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/127 and -46\/3.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3045 (base 10) to base 15.\nAnswer: d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10\/17)\/(n**(-2\/83)*n)*(n\/n**(-43))\/n*n**(-25)*n assuming n is positive.\nAnswer: n**(24602\/1411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7205 + 3665?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 (base 10) in base 14?\nAnswer: 71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2184 and 67\/468?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1017613322 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455.5244us to nanoseconds.\nAnswer: 455524.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 1, m: 2, s: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37816766 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21994.836 months?\nAnswer: 18.32903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074224 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 5*t**6\/6 - 9*t**4 - t**2\/2 + 7*t + 298. Find the second derivative of o(z) wrt z.\nAnswer: 100*z**3 - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 104. What is the greatest common divisor of 20 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjsssssvqrrfjss. Give prob of sequence ssv.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2190*d**3 - 3*d**2 + 2191*d**3 + 2*d**2 + 2*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 + 78?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -74. Let a = 52 - r. Calculate the remainder when 4169\/143 - 2\/13 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/((-4)\/(-20)). Let h = v - -5. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - -8 - (-14 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 33*q = 6. What is the second smallest value in 0.12, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13144, 52521, 118130, 209959, 327996, 472229?\nAnswer: 642646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742535, -742443, -742351, -742259, -742167, -742075?\nAnswer: -741983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 176 = -4. Suppose 0 = j + 3*j - 2*n - z, -24 = -2*j - 2*n. Let s = 6 + j. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (856\/42)\/(-4) + ((-26486)\/(-714) - 37)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 8:31 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(80) + (2*sqrt(80) - sqrt(80))**2 + (sqrt(5) - sqrt(750)\/sqrt(6))).\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1181*c*f**2 + 2661*c*z**3 - 3*c + 81332*f**2*z**3 - 6*z**3 - 217 wrt f?\nAnswer: -2362*c*f + 162664*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407445180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, k: 4}. Give prob of picking 2 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**3 + 15*v**2 - 3*v + 1. Let a(p) = -6*p**3 - 16*p**2 + 2*p - 1. What is 5*a(b) + 4*i(b)?\nAnswer: 2*b**3 - 20*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f + 1. Let y(z) = -9*z**2 + z - 6. Let i(s) = -5*j(s) - y(s). Let m be i(3). Solve -2*b = -4*w, -4*w + 3*w + m*b = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366321 divided by 40\nAnswer: 366321\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -36, -0.13, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**3 + 2*h**2 + 2*h + 1. Let q(w) be the second derivative of -w**3\/6 + 9*w**2\/2 + 6*w. Let g be q(10). Give v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 49. Sort -1, q, 1\/3 in descending order.\nAnswer: q, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 39*y + 20. Does 14 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 2*r + 2. Suppose 24 - 6 = -6*t. Let q be ((-165)\/(-44) + -4)\/((-1)\/(-4)). Let m(s) = s**2. Determine q*o(a) + t*m(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -345531*i*o*z**2 - 110*i*z**3 + 78*i*z - 2*o*z**3 + 7*z**3 wrt o.\nAnswer: -345531*i*z**2 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0359, -2\/3, -3, 6 in decreasing order.\nAnswer: 6, -0.0359, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 3. Let u(c) = -16*c + 14. Let z(j) = -2*u(j) + 11*w(j). Let r be z(5). Let g(v) = -3*v**2 + 1 + 5*v**2 + r*v**2. Calculate g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1092*a - 12247. Determine o(-11).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 2862*h**2 + 1365174*h - 217062666.\nAnswer: 2*(h - 477)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151443?\nAnswer: 3, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10743461, 21486918, 32230375, 42973832, 53717289, 64460746?\nAnswer: 75204203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqv when three letters picked without replacement from {q: 1, t: 1, j: 1, f: 5, m: 1, v: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 16*v - v**2 + 19*v + 71082*v**3 + 10*v.\nAnswer: 71082*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4548907 is divided by 150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -128838 and -129445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:56 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 34476.3 and 35.1.\nAnswer: 34511.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 85, 1, 2\/7?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -2. Suppose 0 = -5*m + 20, -76 = -4*f + l*m - 2*m. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 23 = 2*q + 22, -q - 3*z = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8. Let i be (k + 12)\/((-1)\/(-1)). Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 17*x**2 - 18*x - 3. Let n be b(-18). Suppose 0 = -5*g + 12 - 2. Let s(p) = -2*p**2 - p - 4. Let q(c) = -c**2 - c - 3. Give g*s(l) + n*q(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21*1*6\/(-6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -32822.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 - (-3 - -1)). Let d be ((-3 + 3)\/q)\/2. Suppose -5*n + 3*g + 69 = d, 6*n + g - 57 = n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 187. Determine a(-24).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.1 - 9. Let j be 4\/26 - (-44)\/559. Let h = -64\/645 + j. Which is the nearest to y? (a) h (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 52 = 2*l. Let n be (-4)\/26 - (-56220)\/l. Let p = n - 7579\/7. Which is greater: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w - 6. What is n(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - k + 12 + 124 = 0, k = -5*t + 228. What is the remainder when 275 is divided by t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 7145.7, 2\/9, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and -3\/132401545 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**2 - 2*p + 1. Determine a(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 727, 726, 727, 730, 735, 742?\n\"Answer: v**2 - 4*v + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/8)\/((-6)\/16))\/(1\/9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13329410 to the nearest ten thousand.\nAnswer: 13330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308439752?\nAnswer: 2, 19, 4463, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368 - 365. What are the prime factors of l\/((-21)\/(-7)) + 212?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5*13\/325)\/(11\/145). Let m = v - 239\/99. Suppose -2*b - 3*k - 21 = 0, -6 = -4*b + 3*k - 39. What is the nearest to 1\/3 in b, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1011\/7 + 3\/(-7). What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 424010 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*26*20\/780. Which is the nearest to t? (a) -0.1 (b) 0.3 (c) -0.12349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 21*f + 3. Let y be z(-3). Let j = -42 - y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1036 and 46768.\nAnswer: 327376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 382999*o**2 - o + 2. Let k be l(1). What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 386482 or 385944?\nAnswer: 386482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41\/10 (b) 758 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - ((-1*sqrt(468) - sqrt(468))*5)**2)*-2.\nAnswer: -12*sqrt(13) + 93600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (1 - 23) + -384 + 374?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 1. Suppose 0 = -3*g + 4*t, -t + 24 = -3*g - 5*t. Let w be q(g). Let c = 0.18 - -0.22. What is the second smallest value in w, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y + 3*y + y**3 + (y**2 + 4*y**2 - 4*y**2)*(y - 3*y + 0*y) - 196*y**3 - 1041*y**2 + 1041*y**2.\nAnswer: -196*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9912)\/994 - -2) + (-24)\/852?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - f - 18 = 0, 3*y = -y + 3*f + 21. Suppose 27 = -y*t + 4*l, 2*t + 5 = 4*t + 5*l. Let u be 7\/14 + t\/(-2). Solve u*q = q - 8, p + 16 = -4*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 3, t: 1, k: 2, d: 4}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18193228, -18193214, -18193176, -18193102, -18192980?\n\"Answer: 2*x**3 - 18193230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*3*(-245)\/147)\/(2\/(52\/(-39)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1428 and 14224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -94. What is the nearest to 2 in -1\/2, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/23 + 52*c**2 - 4742*c\/23 - 5940\/23 = 0?\nAnswer: -1, 5, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1112 (base 3) to base 6\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*s + s - 18, -5*l + 2*s + 69 = 0. Suppose 2*v = 4*v + 5*i + 42, -2*v + 5*i - 2 = 0. Let o = l + v. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/47573 and -13\/563192.\nAnswer: 237103832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003413219643 rounded to five dps?\nAnswer: -0.00341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in -1, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 521*q**4*u**3 - 5*q*u**3 + 16*q*u**2 + 2*u**3 wrt q.\nAnswer: 6252*q**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 76*n + 646. Calculate w(44).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1522, -5731, -12752, -22591, -35254, -50747, -69076?\n\"Answer: -c**3 - 1400*c**2 - 2*c - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = -2*t + 9*t + 30*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 + -100001101010?\nAnswer: -11111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017205523 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3136) + 1*sqrt(3136))\/sqrt(700).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.41 - 2.91. Let y = -2 - -6. Which is the fourth smallest value? (a) y (b) 1\/3 (c) o (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 4*d**3*r**3 + 2*d**3*y - 6*d**2*r**3 - d**2*r*y - 12*d*r**3 wrt d?\nAnswer: -48*d - 24*r**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5*k**7\/252 - k**5\/24 - 53*k - 22. Let x(u) be the first derivative of h(u). Factor x(n).\nAnswer: 5*n**3*(n - 1)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 26*j**2\/7 - 1056*j\/7 + 7200\/7.\nAnswer: (j - 12)**2*(j + 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, -44, -4, 1, -24, 0 in decreasing order.\nAnswer: 24, 1, 0, -3, -4, -24, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380.3 - 326. Let z = 52 - j. Let x = 2 + z. Which is bigger: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 335383.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 508 and 1651?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 64. Suppose -4*b + 5 - 1 = l. Calculate the greatest common factor of 20 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4)\/(-3) + 3. Is ((-2)\/(-2))\/(i\/(-33)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4 - -2) + 1\/4)*4. Let q(o) = 18*o + 140. Let v be q(i). What is the greatest common factor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-12*(-70)\/(-30))\/(2\/(-85))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 2*s - 2. Suppose -4*b - 4 = 0, -3*p + 6 = -2*p - 4*b. Let t(m) = 3*m**2 - 5*m - 6. Determine p*t(f) - 7*w(f).\nAnswer: -f**2 + 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 269008.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*l + 3. Calculate the lowest common multiple of 4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6679613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - 2*b)*(2 + 2 - 6 + (4 - 1 + 0)*(2 + 3 - 3) - 3 + 5 - 4)*(-8*b**2 + b**3 + 8*b**2).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0776472202 to 3 decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*k + 17 - 1 = 0, -5 = -k. Which is the nearest to h? (a) -10 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205600.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 v when three letters picked without replacement from rknvkskrvk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -6*i**2 + 4952. Let h(m) = -145*m**2. Determine h(z(c)).\nAnswer: -20880*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 1688 = -1904. What is the least common multiple of 12 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -5 (c) -2\/17 (d) 0.01118 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -16 + 17 + 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-127)\/381)\/((-2)\/(-522)*3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 23*k**2 + 108*k + 5. Let i be o(27). Suppose 9 = -6*h + 9*h - 5*a, 0 = -i*a. Let 0*c**2 - 6\/7*c - 4\/7 + 2\/7*c**h = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4, 2*k = -3*k - 2*s + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2433878216 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 + 2*l**2 + l + 3*l**3 - 194 as h + y*l + s*l**2 + i*l**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 8*a - 15*a)*(-3 + 2 + 2*a + 2).\nAnswer: -36*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 23*s - 11. Is 13 a factor of r(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41805 and -6.071.\nAnswer: 41798.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.5 and 530165.04189.\nAnswer: 530173.54189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 174813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 6. Let t(n) = n - 1. Let r(o) = 3*h(o) + 12*t(o). Let y be r(-1). Calculate the common denominator of 37\/17 and (-157)\/6 - -1 - 2\/y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 12, -3, -4 in ascending order.\nAnswer: -4, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1766 - -1764. Suppose 2*l - 2 = 2. Sort l, a, 5.\nAnswer: a, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 253\/60870?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-10101)*((-206)\/(-30) + (4 - 870\/225)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/(-16)*4\/6. Let l(g) = -g + 10. Let x be l(s). Put x, -0.4, 2\/7 in descending order.\nAnswer: x, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 - 7*i + 2. What are the prime factors of s(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Suppose u*s = 2 + 6. Calculate the smallest common multiple of s and (4\/6)\/2*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22269 - -22269. Solve -u = c, 36*m - 34*m + u + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*(1 + sqrt(1377)) - (4 + sqrt(425) + sqrt(17) + sqrt(17) - sqrt(136)\/sqrt(200)))*-1)**2.\nAnswer: 8096*sqrt(17)\/5 + 4354212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338325 is divided by 318?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28529535?\nAnswer: 3, 5, 1901969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c + 7 - 8 + 2 to d + f*c and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506 and 632362.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, 153, -1.\nAnswer: -205, -1, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3184 + 3184 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1020 + 1023 + (1 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6520*t + 19256*t - 6360*t - 6374*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-14 + 4 - -5) + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -139*f**7\/7 - f**6\/3 - 25*f**3 + 3*f**2\/2 + 51. What is the third derivative of t(o) wrt o?\nAnswer: -16680*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*((-9)\/6 + 1 - 0). Solve 5 = 3*q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11453837.\nAnswer: 11453837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/8*(2 + (-5988)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:38 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 1830 = 20*k. Suppose -3746 = -8*j + k. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 9*j**2 + 22*j - 11. Calculate a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.5 - -14.51. Let c = z + 1.39. Put c, 1\/3, 5\/4, -0.1 in increasing order.\nAnswer: -0.1, 1\/3, c, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1372317?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y - 12. Let a be f(-2). Suppose -2*h - 13 = -a*g + 5, 6 = -g - 2*h. Factor g + 4*r**2 + 23 + 16*r - 11.\nAnswer: 4*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 79. Let x be t(0). Let v be (-429)\/22*1\/((-3)\/(-10)). Let d = v + x. Put -3, -5, d in descending order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6443\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (15 + (-13 - (-2 + -1)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(2\/18). Suppose -5 = s - l. Let d = -0.8 - -1. Sort d, 1, s in descending order.\nAnswer: 1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509985.13 rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.14 (c) -3\/4 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79017 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16343 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48455, 49383, 50311?\nAnswer: 51239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942*a**2\/5 + 13184*a\/5 - 56\/5 = 0. What is a?\nAnswer: -14, 2\/471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 3, 3*x + 3 = 2*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 60, 59, 42, 3, -64?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from iyyyyyyiyyyy.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*j = -3*v - 22, 4*v + 16 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100000101001010 (base 2) in base 3?\nAnswer: -221211011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -35271, -70542, -105813, -141084, -176355, -211626?\n\"Answer: -35271*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 525 = 4*i, -2083 = 11*j - 15*j - i. What is the remainder when j is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - y - 3, 2*y = -5*i - 6. Suppose i = -3*z + 4*t + 21, 2*z = -t + 3*t + 16. Solve 4*j + 1 = -z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 48. Let x be r(12). Suppose -15 = -z + m, -40 = -5*z - 2*m - x*m. Calculate the remainder when 109 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*x - 4*x - 61763*x**3 + 4*x + 61931*x**3 + x**4 as z*x**3 + i + s*x + b*x**2 + j*x**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**3 - 7*m**2 + 2. Let p(i) = 4*i**3 - 4*i**2 + 1. Let v(a) = 3*b(a) - 5*p(a). Suppose -c = -0*c - 2. Determine v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 3 + 7*z - 7\/2*z**2. Differentiate l(n) wrt n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -21012000110?\nAnswer: 21012000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (195\/(-156))\/(6\/(-576)*-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/3*(-2)\/(-6). Suppose y*o + 15 = 0, r - 6*r + 3*o = -25. Suppose r*x - 40 - 8 = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and -2.81402.\nAnswer: 185.72532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 93858.\nAnswer: -91\/46929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.61881 seconds?\nAnswer: 8618.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -986*o**2 + 866*o**2 - 2126*o**2.\nAnswer: -2246*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*g + 34, -3*g - 7 = -2*g - 5*i. Calculate the remainder when g is divided by ((-5)\/(-10))\/(-1)*-14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/5 - 9*d**2\/2 - 10*d. Find the first derivative of o(j) wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82468 and 2968?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -46. Let x(u) = -u**2 + 3*u**2 - 3*u**2. Let k be x(l). Solve k = 2*c + 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}