diff --git "a/data/dm_maths/full_data/11125_11255.jsonl" "b/data/dm_maths/full_data/11125_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11125_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (sqrt(3) - sqrt(12)*-4)**2 + -3.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -5 (c) -4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -139377, 56, 4 in descending order.\nAnswer: 56, 4, -139377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 352153320 (base 6) to base 8\nAnswer: 30762660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 114. Suppose 2*f - 83 = i. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -94*1*-1*(-27 + 28). Suppose -l = 20*k - 514. Calculate the highest common factor of 189 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -3*z = v*s - 8*z - 4, s - 5*z = 2. Factor -7*g**s + 9*g**2 - g**3 + 3*g**3.\nAnswer: 2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -1*(sqrt(1088) + 2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 45 + -92 - -45.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/13206 and 48\/15407.\nAnswer: 92442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 10 = -4*j - q, 25 = -5*j + 3*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:19 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 409 - 136 = 0. Let k be (-4)\/(-14) - 884\/f. Let h(l) = 4*l**2 - 12*l + 7. Is h(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -63. Suppose 4*x + 32 = u. Let d be (5 + (-9)\/6)*x\/(-7). Solve z + d*z + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277465 (base 8) to base 14.\nAnswer: 27a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 257079164 to the power of 1\/2, to the nearest integer?\nAnswer: 16034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 0, -2, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 3*c - 7, c = 2*o + 2. Let t = -19 - -20. Let s(n) = n - 1. Let g(f) = 4. Give c*s(y) + t*g(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 10*p - 8*p. Let a = -52 - p. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**2 + 2*w + 5. Let a(j) = 0*j**3 + 4*j + 3 - 4*j**3 + 5*j**3 + 3*j**2 - 2*j**3. Let v be a(4). Is l(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-58\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74356 < 74361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7305 and 8279?\nAnswer: 124185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16018507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*f - 5431*f - 1019*f - 156277 = 390698 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 51. Solve 1 + x = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/5 + 6306*l\/5 = 0.\nAnswer: 0, 6306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, -7167, 6 in descending order.\nAnswer: 15, 6, -4, -7167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iwbwixwwwwfii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.29 to 0 decimal places.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.579 times -1\nAnswer: -0.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o**2 + 1383*o**2 + 815*o**2 - 545*o**2 + 593*o**2.\nAnswer: 2349*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 10*l**2 + l - 7. Let g be a(10). Suppose 0 = -g*b + 12 - 6. Let k = 5 + b. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 3. Let c = 7 - 12. Let j(a) = 5*a - 4. What is c*j(u) + 6*h(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 621*u + 18603. Give a(-30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (1*sqrt(343) + -3 + 0 - ((sqrt(343) + 2 + sqrt(343) - sqrt(343))*-5 - (sqrt(343) - (sqrt(343) + -2)*5))))*-2)**2.\nAnswer: 1344*sqrt(7) + 6064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 + 2*y - 4. Let v be a(5). Let f = 1 + v. Let u = -144 + 148. Sort -3, f, u in descending order.\nAnswer: f, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -646 - -742. What is the greatest common divisor of 48 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1795 + 3184. List the prime factors of t.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.484869 micrograms in milligrams?\nAnswer: 0.005484869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -43*b + 45*b, -6*b + 4 = -4*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 10*j**3\/3 - 3*j**2\/2 - 11. Let f(l) = 3*l**2 - l. Let w = 21 + -7. Give w*f(q) - 4*i(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -37.5. Let w = -9.5061 + g. Round w to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2480 and -151\/7440.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 1. Is (0 + 1 - -421) + p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**4 + m**3\/3 + 5*m**2. Let a be n(2). Suppose 2*q = -3*q, -5*q - a = -5*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 10. Calculate the greatest common factor of 112 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 60. Let y = 180.3 - n. Let b = -1 - 1. What is the smallest value in -1, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 521 and 260897523.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*q + q**2 - 62*q + 9*q + 6*q**2 + 10*q as j*q**2 + n*q + a and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 - (-3 - -3))\/(-5 + 3). Suppose 3*o - 5317 = -l*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-62 + 33 + 32)*(18 + 2*o + 72 - 28).\nAnswer: -12*o - 372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219174?\nAnswer: 2, 3, 36529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468561351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54968 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236398 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.356 + -17.878. Round r to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/221 and 131\/340?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 3*y**5 - 5*y**5 + (-9*y + 0*y + 5*y)*(y**4 - y**4 - y**4).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255307 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 20 = -9*m. Put 0, -82, m in descending order.\nAnswer: 0, m, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62983 is divided by 61009?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29724 + 56557. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -5*n, 13 = 2*w - 4*n + 5*n. Suppose -22*r + 3*t = -24*r + 358, 4*t - w = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32301220021102 + 0?\nAnswer: 32301220021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -395\nAnswer: 129\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -4 (c) -10 (d) -17\/2 (e) 0 (f) -11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77aa - 381?\nAnswer: -8080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69144 and 1575907.\nAnswer: 2881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 13) in base 12?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q - q**4 + 71*q**2 - 71*q**2 + (2*q**3 - 5*q**3 + 2*q**3)*(3*q + 3*q - 5*q).\nAnswer: -2*q**4 - 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7830, 2, -4 in ascending order.\nAnswer: -7830, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*n**3 + 20*n**3 - 17*n**3)*(n - 2 + 2)*(-3 - 1 + 3).\nAnswer: -38*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 divided by -2?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/(-1826)*(-165)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2588 - 2585. Suppose 0 = 5*t - 3*o + 27, -t - 2 + 1 = -5*o. Let a(s) = s**2 + 5*s - 4. Let l be a(t). Solve 5*b = b + k - 15, -l*k - 3 = i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 157*m + 502 = -156*m, 0 = -2*k - 3*m + 180. Solve -k*j + 78*j = -24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -3, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 16. Let i(c) = 6*c - 48. What is -3*i(o) + 8*q(o)?\nAnswer: -2*o + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -723*s + 724*s - 3*k, 4*s + 1076*k = 367*k - 1398 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 5*v + 2. Let w be l(5). Suppose 24 = 2*h + 2*h. What is the lowest common multiple of 20 + (-2 - 0\/w) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299 - 172. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)*b*b**(-8)*b)\/(b**(6\/7)*b**(1\/9)*b) assuming b is positive.\nAnswer: b**(-1132\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (9 - -2) - -54?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -366 - -530. Let q = p - 156. Solve 4*h = -5*m - 2, -4*m + 0*m - q = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10821*j - 5420*j - 5401*j - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2794179 and 2262?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**3 + 241*w**2 - 16 - 8*w**3 + 18 - 4 + w in the form y + s*w + u*w**3 + m*w**2 and give m.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = -0*d, 2*o - d = -16. What is the common denominator of (o\/(-6))\/((-5)\/(-2)) and (-190)\/28 + (-6)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/92)\/((2\/(-4))\/(1406\/(-74))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.47282082 and 4.\nAnswer: 37.47282082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 1980, 5106, 9482?\nAnswer: 15108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 38 = u + 2*g, u - 3*g + 11 = 0. Let k = 0 + u. What is the units digit of (-6)\/8*192\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 19*k = -91, -27 + 6 + 4 = -4*l + 5*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25816 is divided by 104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(104\/24))\/(4\/182*-7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-588)\/(-1008) - (2\/(-8) - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*z - 20. Solve 2*v - z + 5 = 4*a, a = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 266 = 13*p. What is the remainder when 195 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.91141 seconds in hours?\nAnswer: 0.093308725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = -2. Suppose z - 12 = -j*z. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-819)\/(-14)) - (-4)\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8242\/9 at most as big as 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268083.9263586 + -268084. Let j = 0.0737 + w. Round j to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 66*c - 14 = -71*c, -2*c + 18 = -5*j. Let l(n) = -n**3 + n**2 - 5*n - 22. Let k be l(j). Solve -7*u - 8 - 20 = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:11 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6 - 3710121*s**5 + 41760*s**2 + 221?\nAnswer: -120*s**3 - 222607260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l**2 - 20*l - 55. List the prime factors of n(-9).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 32*b - 7. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 442*l + 443*l = -134, -l + 100 = 4*b. Solve -b*h + 30 = -21*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34558 = -437*n - 46794 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3*(-4 - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.5 (c) -4 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/11)*a)\/a**(-15))\/(a**13*a*a*a\/(a**(-1\/8)*a)*a) assuming a is positive.\nAnswer: a**(-3\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 2*t + 2. Let o be (-10)\/(3\/(6\/(-4))). Suppose -o*l - 11 = -1. Let f(k) = -k**2. What is l*f(u) + d(u)?\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*c**3 + 26 - 26 + (-3*c**2 + 0*c**2 + 2*c**2)*(3 + 4*c - 3))*(0 + 0 + c)*(2 - 2 + 1).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1545004666 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*k + 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1*5 - sqrt(425))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 24 + 22 + s**3 + 12*s**2 - 42 + 6*s. Determine g(-10).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -6, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffpf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006387175178 rounded to five dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.62 less than -3?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 3995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -26 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255880 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1423 + -1421. Let a(k) be the third derivative of k**o + 0 + 0*k**4 + 0*k + 1\/6*k**5 - 1\/3*k**3. Differentiate a(u) wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 65 = 2*y + y, -5*y + 105 = -5*d. Suppose 2*x - 3*w + y = -16, -2*w = 4*x + 30. Let a = x - -35. What is the remainder when 73 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-6))\/((12\/(-9))\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-154))\/((-8)\/84). Sort 5, y, 0.3, 1, 3\/110 in ascending order.\nAnswer: 3\/110, 0.3, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3013*w + 322393. Determine k(107).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 35*g**2 + 67*g + 15. Give p(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -19. What is the nearest to -2\/7 in i, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*w**6 + 3180*a*w**5 + a*w**2 + 10047*a wrt w.\nAnswer: -360*a*w**3 + 190800*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 91*o**2 - 1181*o - 291. Calculate f(-56).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241650790*j**4 - 2*j**2 - 28513866*j wrt j.\nAnswer: -5799618960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176990901, 176990897, 176990891, 176990883, 176990873, 176990861, 176990847?\nAnswer: 176990831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/82482 and -11\/26352999.\nAnswer: 52705998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32303521 (base 7) to base 16.\nAnswer: 2a1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*w - 2*n + 18, -4*w - 35 = 5*n. Let o(d) = d**2 + 4*d - 2. Let r be o(w). Find the third derivative of 3*i**2 + 4*i**r - i**3 - 2*i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 297.069 litres?\nAnswer: 297069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, n: 2, p: 1}. What is prob of sequence gp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2 + 14\/4). Suppose 2*y - 3*z = -o*z + 7, -2*z + 10 = 0. Find the second derivative of y*f - 2*f**5 - 5*f + 2*f wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*u + 42. Let t(b) = b + 21. Let f be t(u). Solve -n + 0*n = f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18232 and 11395?\nAnswer: 91160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7 + 1. Let y = 8 - a. Suppose 2*v + 2*v - 86 = -x, 439 = y*x - 3*v. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 744\/455 - -98\/65. Factor u*i**4 + 4\/7*i + 18\/7*i**2 + 6\/7*i**5 + 0 + 30\/7*i**3.\nAnswer: 2*i*(i + 1)**3*(3*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*i = 3, -3*v + 5*i + 0*i = -31. Let b(r) = -8*r + 40. Let x be b(12). Let h = x + 105. What is the highest common factor of h and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1876 = 4*l, 1507 = 4*t + 2*l - 5*l. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkukuukku.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 4. Let o be h(4). Suppose -o = -4*n + 600. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 7*k - 57878, -x + 679 + 13792 = 2*k. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 27, 10, -13, -42, -77?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 7*d**3 - 76*d**2\/3 + 32*d.\nAnswer: d*(d - 24)*(d - 1)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 35*u + 114 - 220. Solve -u*m - 18 = -9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 6 = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/7 - 66*a = 0.\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 346198132 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1511?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2915.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010001100110 (base 2) in base 3?\nAnswer: 11012220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*p + 70 = 0, -86 = -5*s + 6*p - 3*p. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**2 + 2. Suppose 18*x + 661 = 23*x + 4*y, 3*x - 400 = y. Let c(o) = -1121*o**2 + 133. Calculate x*g(q) - 2*c(q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312.1 - 302. Let i = p + -10.1605. What is i rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 39*w**4 - 1062*w**3 + 1944*w**2 = 0 for w.\nAnswer: -27, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301362 is divided by 3044.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(13\/13). Let n = 31 + -43. Put n, o, -4 in decreasing order.\nAnswer: o, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**4 + 0*y**3 + 33*y**2 - 2 - y - 34*y**2 + 0*y**3 in the form s*y**3 + j*y + n + f*y**4 + r*y**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 513134418.\nAnswer: -513134443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -7. Let d = 4 + l. Let b be (1*d)\/((-14)\/67200). What is b rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 9*c**2 - 14*c. Let s be x(7). Let a(n) = n**3 + 3*n + 397. Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddgdddgddggdg. Give prob of sequence dgd.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -264, -289, -334, -405?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 960\/(-36)*(-240)\/320 - 95?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 788 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9665\/8 - -1209. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 301832 - 31605. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2\/2 - 7*k + 24. Suppose -8*t + 3*t = -65. Suppose -3*u - t = -1. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34, 2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 73983.50038 to zero dps.\nAnswer: 73984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(23200\/(-60))*-8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -232*n**3 - 13*n**2 - 4*n + 48. List the prime factors of q(-2).\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186499 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {u: 2, h: 4, q: 1, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/195 and 2\/377?\nAnswer: 5655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36512 + -5?\nAnswer: -36517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-20)*(-865)\/6. Let x = -43 + z. Let w = 5\/2 - 2. What is the nearest to -1 in x, -4, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1088)*1 + 3) - (sqrt(408)\/(sqrt(8)*-1))\/(sqrt(6)\/sqrt(2)*-6))**2 + -4.\nAnswer: 772*sqrt(17) + 638273\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13067 - -4?\nAnswer: 13073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1843*m**2 + 1839*m**2 - 3697*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41589 + 41589 - 21*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*(4\/((-4)\/2))\/(61944\/(-348))\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.18 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/(6*(-9)\/(-72)*-122)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4661 in 1\/7, -27, 21?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63144.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699\/880 + -1\/176. Which is the third biggest value? (a) g (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (260*t + 157*t - 723*t)*((-2*t - 3*t + 6*t)*(-3*t + 2*t + 3*t) + 5*t**2 - 2*t**2 - t**2).\nAnswer: -1224*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(684) + 0)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(243) + -3 + -1 + sqrt(243)) + 2.\nAnswer: -14 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + 2 + (sqrt(320)*-1 - sqrt(320)) + sqrt(320)*-3 + -1 + -4 + sqrt(320)*-1)**2.\nAnswer: -288*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560753, 1121502, 1682251, 2243000, 2803749, 3364498?\nAnswer: 3925247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51514 = -3*r + 3*b + 51520, 2*r = -3*b + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*x + 1819 + 3879. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4800 = -8*d. Suppose 18*r - 13*r = d. Suppose -4*z = 4*s - r, -z + 246 = 5*s - 2*z. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449898 times -0.2239?\nAnswer: -100732.1622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - 8*p**2 - 20*p**2)*(-p**2 + p - p)*(0*p + 2*p - 3*p).\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 6909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 443237, 443234, 443229, 443222?\n\"Answer: -l**2 + 443238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26544 rounded to the nearest one hundred?\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 not equal to -5.1424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37814 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*a - 15, -20 = -2*s - 2*s - 4*a. Calculate the remainder when 17 is divided by ((-12)\/(-10))\/(s\/25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 46. Suppose -2*x = -14 + h. Solve 0*y + 5*y - 25 = x, 2*l + 3*y - 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140002 (base 5) in base 12?\nAnswer: 330b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -0.1. Let n = -0.14 - h. Let k = -6 + 1. Which is the third biggest value? (a) k (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 14*p = 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 85*n**4\/24 - 7*n**3\/6 - 3*n**2. Let u be q(7). Suppose -u = -2*p - 2*p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7 - 9*q**2 + 4381*q - q**3 - 8779*q + 4386*q. Calculate i(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 10*i - 7. Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h**2 + 11*h + 53. What is the hundreds digit of b(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77165833 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 25, 62, 133, 250, 425, 670?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30) + (14069930\/(-696))\/(-145)*4\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -107, -108, -109?\n\"Answer: -g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1216) + -2)**2 - sqrt(1216)).\nAnswer: -160*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, -5, -20521, 0 in increasing order.\nAnswer: -20521, -18, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14097\/20 - -418789\/10. Let n = d + -19844057\/466. What is the common denominator of n and -15\/14?\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*b - 1)*(-3 + 2 + 2) - 7*b - 124 + 124)*(-5 + 0*b**3 - 2*b**3 - b**3).\nAnswer: 15*b**4 + 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 2*o - 148. Let l(d) = -4*d**2 - 3*d + 295. Determine 3*l(s) + 5*y(s).\nAnswer: -2*s**2 + s + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(304) - -4*(1*sqrt(304) - sqrt(304)))**2 - ((-6*sqrt(304)*5)**2 + (sqrt(304) + -4)**2*-5).\nAnswer: -261056 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2532)\/(-20) - ((-112)\/10)\/(-7). Which is greater: r or 119?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cf58 (base 16) in base 5?\nAnswer: 3144310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 7*u + q + 10, -4*q = 3*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoopxyooooocop. What is prob of sequence cyy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-9))\/1*170\/68*42\/(-35)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*p + 6, 776*w - 780*w = -15*p + 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - ((1 - 5) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjijllijljll. Give prob of sequence ll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -376, -644, -902, -1144, -1364, -1556, -1714, -1832?\n\"Answer: i**3 - i**2 - 272*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) 2\/3 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**10\/1680 - j**6\/180 + 2*j**3\/3 - 3. Let b(h) be the third derivative of m(h). What is the third derivative of b(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -27. Let m be 6\/(-4) + 2\/(-4). What is the remainder when g is divided by (10\/(-6))\/(m\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*v = 2, -g = 4*g + 3*v + 36. Let f = 7 + g. Which is smaller: f or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let j = -1 + 2. Let q = 24 - 27. Which is the closest to 2\/7? (a) z (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168445 and 14455?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2. What is b(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15214 is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -303245 (base 6) to base 2\nAnswer: -101111000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -6 = y*i, 0*i = 3*u + 3*i - 9. Calculate the highest common factor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 27*w**2 + 6*w - 38. Is 49 a factor of u(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 146*h**2 - 2575*h - 5143. What is t(-2)?\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 185, 259, 403, 641, 997?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1417, 0, -61 in increasing order.\nAnswer: -1417, -61, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(98)*1 + 3 + sqrt(98) + 4*1*sqrt(98) + sqrt(98) + -3 + -2 + sqrt(98) + -1 + -4)**2*-6.\nAnswer: -38496 + 8064*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 3*s = -36*y - 2379, -3*y + 7127 = -s. Is y a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v + 13. Let l be (1 + 1)*147\/(-14) + 4. Let o(w) = 5*w - 4. Let i(s) = l*o(s) - 6*c(s). Suppose -4*x + 0*x = 32. Give i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - 10. Suppose -320 = -3*o - d*b, -3*b - 2*b = -2*o + 230. Calculate the greatest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 3*u**4 + u**2 + 5*u - 5*u - 1 as s*u**4 + w*u**2 + h + y*u + p*u**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -5\/3, -10.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1896*s - 10845. Is 71 a factor of o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w + 7. Let u be c(-5). Let m be u*((-1 - 1) + 1). Suppose -2070 = m*x - 0*x. What is x rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -z + 5*x, 1418*x + 72 = 3*z + 1440*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15987*n**3\/7 - 7446*n**2\/7 + 867*n\/7 = 0. Calculate n.\nAnswer: 0, 17\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108961 is divided by 768?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/4 + (-1)\/(-1). Suppose w + c = 3. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.07 - -10. Let n = 0.06999972 + a. Round n to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -0.1 (b) -42 (c) 152 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1577653 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzp. Give prob of picking 1 t and 1 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.176255 - 54.8763. Let r = -1.3 + p. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 104*o**2 + 169*o - 3528. Calculate l(51).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2360914.\nAnswer: 2, 587, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 153364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35400 and 1755132.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -0.02284588.\nAnswer: 2.02284588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15965675.\nAnswer: 5, 11, 58057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.1 (b) -74 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -801a (base 11) to base 2.\nAnswer: -10100110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0522 * 0.3.\nAnswer: -0.01566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {a: 1, q: 1, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aznx when four letters picked without replacement from xazlzxcn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-34) - (-18)\/(-153).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let v be g(-2). Let a be 735\/21 - (-4)\/v. Let k = -32 + a. Which is smaller: k or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2423.5 - 2424. What is the nearest to 1 in -5, 0.05, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1562)\/(-22)*3\/9)\/((8\/12)\/2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*g - 8, -3*a + g - 5*g = -32. Calculate the least common multiple of a and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -272, -439, -596, -737, -856, -947?\n\"Answer: a**3 - a**2 - 171*a - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*s**4 + 0)*(-18*s - 3*s - 30*s).\nAnswer: 102*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*x**3 - 788*x**2 wrt x.\nAnswer: 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 + 9*t + 18. Calculate p(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c - 2*c - 3*c)*(-3*c + 3*c + 2*c**2 + 0 - 2*c**2 + 0 - c + c + c**2 + (-c - c + 4*c)*(2*c - 3*c - c)) to y*c**3 + l + t*c + o*c**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 1. Which is smaller: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/6 - 7*v**3\/3 - 5*v**2\/2 + 10*v. Let l be u(-7). Suppose -3*y - 3 = 9. Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-38 - -47 - (1 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640258980 is divided by 10594.\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -187*r**2. Let g(c) = 440*c**2. Determine p(g(q)).\nAnswer: -36203200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1092 + 16382\/15. Which is the nearest to -1? (a) 2\/11 (b) l (c) -1\/11 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 71071.\nAnswer: 355355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*x - 234*c + 232*c, 3*c = -5*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31542 by 42.\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 351?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 6. Let c(o) = -o + 14. Let q(r) = -7*a(r) - 3*c(r). Let j = -5 - -8. Suppose j*m = 5*m + 3*k + 1, -m + 6 = -5*k. Give q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29915 + -2.58132?\nAnswer: 29912.41868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55747, -219623, -492749, -875125, -1366751?\n\"Answer: -54625*i**2 - i - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + 4*l. Let v be i(-3). Let m = 8 - v. Let w = -97 + 146. What is the remainder when w is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110100011001 (base 2) to base 5.\nAnswer: -332140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 211998*c**2 + 11*c - 7. Let l be f(5). Let d be 0\/2 + (2 - l) + -4. Round d to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let r(c) = -54*c + 81. Let a(z) = 2*b(z) + r(z). Find the first derivative of a(q) wrt q.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526b68 (base 15) to base 2\nAnswer: 1110111101010000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 + 8*l**2 + 4*l**3 - 6*l**2 + 1 in the form u + y*l**2 + v*l**3 + x*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 24*u**2 - 40*u - 40. Does 4 divide w(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/10 or -3\/8?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuiu. Give prob of sequence uu.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1910*y - 9539. Determine b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -992 divided by 6?\nAnswer: -496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Is 13 a factor of (23 + 4)\/(1 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 0.02418?\nAnswer: 0.17582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 88943604.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00103576 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/5)\/u)\/u*u)\/u)\/(u\/((u\/(u*u**(-1\/6))*u)\/u))*u*u*u**1*u*u\/(u**7*u*u*u) assuming u is positive.\nAnswer: u**(-217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, r: 5, y: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25712 and -797484039.3.\nAnswer: -797509751.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.24426 micrograms?\nAnswer: 0.00000000124426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509 - 278. Let d = w - 14. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/10 - (-73268)\/5636\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/74648 and -109\/8229942.\nAnswer: 32919768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrtrtrtttrrr. What is prob of picking 3 r?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61224 or 5203981\/85?\nAnswer: 61224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471828 divided by -4.\nAnswer: -117957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 5\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let g(y) = -48*y + 4. Let u(d) = -97*d + 7. Let c(v) = -7*g(v) + 4*u(v). Determine k(c(s)).\nAnswer: -5408*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/10)*r**8*(r**1)**35 assuming r is positive.\nAnswer: r**(431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.088927 and -0.4.\nAnswer: -0.488927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i, 6*k - k - 2*i - 6 = 0. What is the units digit of 183\/k - (-15)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let w be (6\/(-4))\/((-6)\/(-152)). Let b be w\/(-14) + 2\/7. Solve -2*t + a + 13 = 3*d, b*d = t + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151219041\/709 - -213285. Let j = -143\/23 - -2833\/230. Find the common denominator of w and j.\nAnswer: 7090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 24 + 5272\/3*b**3 - 2*b**2 - 3*b. Is f(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1615)\/(-3230))\/(((-2)\/(-1))\/32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, -0.05, -2\/13, 163, -0.07, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 74231761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:00 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let s(j) = 7*j + 5. Suppose -12 = -2*u - 0*u. Suppose -4*p - u = -3*p. Give p*t(w) - s(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1925*c**3 - 110951 - 2*c + 110951)*(c + 0*c + 1 + 2*c)*(-3 + 5 - 4) to the form w*c**2 + s*c**4 + y*c**3 + b*c + d and give s.\nAnswer: -11550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*j - 94*j - 116*j + 505*j - 92*j - 100*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.4. Let n = 180 + -177. What is the nearest to n in -3, a, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 3*u**2 + 3*u**2)*(22 - 7 + 14 + 1 + 1 - 3 + (2 + 0 - 1)*(3 - 1 + 0)).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30379 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and -77\/48880?\nAnswer: 48880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (12 + -5 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 6, 333, 1\/8, 124 in decreasing order.\nAnswer: 333, 124, 6, 1\/8, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1738726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -8\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/180490 and 28\/234637?\nAnswer: 2346370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 1361304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 36 - (-9 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 531*g**3 - 44847*g**2 - 793881*g = 0. What is g?\nAnswer: -33, 0, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**(1\/39))**(23\/6)*(b*b*b*b**(-1\/3)*b*b*b*b)\/(b*b**(-8))*(b\/(b*b*(b\/(b\/(b\/b**(-4\/3))))\/b*b))\/b**8 assuming b is positive.\nAnswer: b**(2480\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 152.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872)*2 + 5 + sqrt(1872) + -5 + -2.\nAnswer: -3 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/9, 0.2, 3\/4, 4, 6\/13?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 30*d. Let f(u) = 1283 + 2*u**2 - 1283. Calculate f(w(r)).\nAnswer: 1800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 2, v: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*t**3 - 2442*h**3*t*u - h**2*t**3 - 2*h**2*t**2*u + 20*h*t**3*u + u wrt t?\nAnswer: 6*h**3 - 6*h**2 + 120*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/4 + t**4\/12 - t**3\/6 + 6*t**2. Let h be r(1). Solve 3*w = -w + h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:37 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -26\/3*k - 359\/3*k**2 + 91\/3*k**3 + 8 = 0.\nAnswer: -2\/7, 3\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - l + 2. Let v = 576 - 580. Calculate g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 2*q - 1. Let a be 1\/1 - (1 + 0). Suppose a = -t + 1 + 9. Let n be (-4)\/(-6)*(-15)\/t. Calculate b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 3*s - 3*s to the form q + c*s and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from kqsnnksskp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237 - 0.3?\nAnswer: -0.3237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 3*q + 5. Let l be 0 + -6 - (5 + -6). Let i be r(l). Let u(j) = j**2 + 5*j + 6. Give u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*n + 29, n - 20 = 4*m - 9*m. Suppose 5 = v - n. Find the third derivative of -2*f**3 + 2*f**3 - v*f**4 + 16*f**2 - 21*f**2 wrt f.\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (207\/(-23 + 14))\/(2*(-3)\/4074)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 308 = -19*t. List the prime factors of (-22)\/t - (2 + (-2958)\/14).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.332999 rounded to two dps?\nAnswer: 146.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 4. Let z be r(-3). Suppose -2*i = -3*i + z. Is i + 3 + 530 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 1, k: 1, y: 2, c: 5, g: 1}. Give prob of sequence bvc.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 1788*x\/5 - 18458.\nAnswer: -2*(x - 839)*(x - 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2635637?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 50*h = -259*h + 3808 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k - 193. Let f be r(-24). Let n be ((-42)\/(-2925))\/(24\/170). Let i = 3\/65 - n. Is f <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298*l + 241 - 608*l + 311*l to g + h*l and give g.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -969860\nAnswer: 19\/969860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0 + 2*n + 0. Let k(h) be the third derivative of 2*h**5\/15 - 298*h**2. What is k(x(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153, 307, 449, 573, 673?\n\"Answer: -c**3 + 161*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034004638.\nAnswer: 2, 7, 79, 391889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48557444 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 - -251. Let t = h + -467. Calculate the lowest common multiple of 105 and t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7940*y = -7925*y + 75. Sort -2, 34, -1, y, 0 in ascending order.\nAnswer: y, -2, -1, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 224, 764, 1822, 3572?\n\"Answer: 29*i**3 - 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/22)\/(47\/(-517)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2 (c) 2\/67 (d) -2 (e) 0.02 (f) -1\/7922\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 1947875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 9, 0.03, -2, 2\/11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p - 0*p. Suppose -227 + 663 = p*b. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 + -249.763. Let d = -100180 - -100179.762887. Let b = d + n. Round b to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10700 take away -144?\nAnswer: -10556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81818417 rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24004101 and 2972?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/6 - 4*s**3\/3 - 493*s**2\/2 - 7061*s\/3 + 40204\/3 = 0.\nAnswer: -23, -19, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/199104 and -13\/2928.\nAnswer: 199104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(20)*4 + 1 + sqrt(80) + -1.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + -2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) -4\/7 (d) 5 (e) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*g = 8, 5 = r - 0*r - 3*g. Suppose 0 = y - r*y. Solve v + y = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12786583\/488 - -26202. Calculate the common denominator of -93\/40 and f.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 79. What is the highest common divisor of 57 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 23*l**2 - 122*l + 54. What is u(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 23*f**2 + 20*f - 54. Give i(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4410 divided by 2205.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 419*x**2\/2 - 155*x + 314. What is the derivative of f(b) wrt b?\nAnswer: 419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1777279, -1777281, -1777283, -1777285, -1777287?\n\"Answer: -2*t - 1777277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scsnnsnncnnnsns. What is prob of picking 2 n and 1 s?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2811b (base 12) to base 14\nAnswer: -162d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526439 is divided by 87735.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3074*s**3 + 2 - 3073*s**3 + 3*s + 0 + 3 as u*s + p + o*s**2 + a*s**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiwmiimiwiimiiiiiw. What is prob of sequence mimm?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -35, -1\/6, -3.6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agi when three letters picked without replacement from {g: 5, a: 1, v: 2, i: 1, c: 7}?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62197088 to the nearest integer?\nAnswer: 7887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3336 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hosvsfjh. What is prob of sequence fs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 - 18*t**2 + 27*t**2 as u + n*t + o*t**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -3) + (-3)\/(-1). What is the third derivative of -c**2 + c**2 + 3*c**6 - 2*c**6 + t*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 14. Let a be l(4). Suppose 0 = -i - 2*f + 140, -7*i + a*i + 656 = -f. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 13) to base 12.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291.174 + 3.526. Let u = l + -363. What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-35)\/42)\/(650\/(-1560))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*b - 831*b - 902*b + 24639 = -65250 for b.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3503 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*g - 118*g = 5*c - 258, -4*g + 2*c + 272 = 0. What is the remainder when 266 is divided by g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25307827067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 7*t**5\/9 + 10*t**4\/3 + 22*t**3\/9 - 8*t**2\/3 - 29*t\/9 - 2\/3 = 0.\nAnswer: -3, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*4\/24*6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-15) + (-6)\/(-5). Let i = 4 + f. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - i - 89 = -6*i, 4*c - 172 = 4*i. What is the first derivative of 8 - 7 + c*f - 48*f wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 8*u + 20. Let v be z(5). Let k be 25\/v - (-1)\/6. Sort 5, k, 3, 13 in decreasing order.\nAnswer: 13, 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, a: 1, r: 1}. What is prob of sequence ru?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((16 - (0 - -4)) + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + 9*1. Let j = -6 + c. Which is smaller: j or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 + -1017\/7. Let z = 5 + -4.7. Let f = -0.2 + z. What is the closest to f in h, 4\/7, -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + 3.91. Let z = -4 + s. Is z not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q + 4 - 8 + q**3 - 10*q**2 + 0*q**3 - 7. Is p(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.46 and -0.4?\nAnswer: -1.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 - -26?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3\/(-15))\/(10\/50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*h = -574, -366 = -3*c - 2*h + 491. Suppose -2*y = 2, -2*y - c = -2*r + 325. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/5 + 1172*z**2\/5 - 64632*z\/5 - 1140048\/5 = 0.\nAnswer: -14, 78, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14333, -0.5, 0.2, -0.3 in increasing order.\nAnswer: -14333, -0.5, -0.3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Sort 3, 0.3, h, 0.5 in ascending order.\nAnswer: 0.3, 0.5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 263?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499*g + 498*g + 12 = 4*n, -4*n + 12 = 0. Solve g = 2*u - 0*u + 12 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140968, -282005, -423042, -564079, -705116?\n\"Answer: -141037*t + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:15 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229934.\nAnswer: 2, 114967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1426 and -0.024.\nAnswer: 1425.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4041.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.7 and -5?\nAnswer: -153.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**17)\/g)\/(g*g*g*g\/g**9) assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 17*t + 5. Let c(g) = -g**2 - 8*g - 3. Let s(y) = -5*c(y) - 2*p(y). Let f be s(6). Suppose 4*n = f*n. Solve -o = -4 - n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duzyzyzdu. What is prob of picking 1 u and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5 + 68*q**4 + 340*q**3 + 492*q**2 + 216*q = 0.\nAnswer: -9, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -2\/15 (c) 6\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004372 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28591 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + c + 20, h = -4*c - 0 - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + 684. List the prime factors of m.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -8502, 237 in decreasing order.\nAnswer: 237, 6, -3, -8502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 2:14 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222 - -1330034233?\nAnswer: 1330034011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1503, 2935, 4367, 5799?\n\"Answer: 1432*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194695504 a multiple of 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-202.\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 364, 539?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286912 and 20528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 2\/3*o**3 + 1\/2*o**2 - 5 + o - 1\/4*o**4. Let r be v(2). Solve 14 = 3*q + r*k - 4, -14 = -3*q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/809, -8, 18 in increasing order.\nAnswer: -8, -1\/809, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-12) + (-33)\/(-6))\/(8\/144). What is the closest to 0.1 in b, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/8 - 39\/8. Which is the smallest value? (a) 0.2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2725 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) + (-1*sqrt(91) - sqrt(91)))*-2 + sqrt(91) + sqrt(91))\/(-6*sqrt(112)).\nAnswer: -5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (14 + (-1 - (25 + -2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**3 - 3*v + 30*v**3 + 3*v.\nAnswer: 49*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 4*k - o + 17 = 0, 3*k + 4*o - 29 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 73*r + 424. Determine c(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*g**3 + 143499*g**2 - 175422*g + 31896.\nAnswer: 3*(g - 1)*(g + 5316)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7276 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -10, -12, -14?\n\"Answer: -2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*s**2 + 1824164 - 1824164.\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -136. Suppose 4*g + 56 = -296. Let l = u - g. What are the prime factors of l?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 - k**2 + 2*k + 3. Let i(f) = -f**2 + f. Let q be i(-1). Is j(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 7, 1\/7, 1\/3 in ascending order.\nAnswer: 1\/7, 1\/3, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 189 + 160 - 3*m**2 - 13*m in the form t*m**2 + n*m + h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160*a**2*q**3 + 9*a**2*q*v**3 + 4*a**2*q*v + 12*a*q**2*v + q**3*v**3 wrt q.\nAnswer: -960*a**2 + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.015 (b) -4\/3 (c) 0.54 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:17 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/5))*o*o**(-10)*(o*o\/o**(3\/5))**43)**27 assuming o is positive.\nAnswer: o**(6966\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5954, -11915, -17876, -23837?\n\"Answer: -5961*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 56600088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -11 - -8 - -12) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/14)\/((-9)\/(-12)). Let l = -95461.2 + 95461.5. Let h = -11 + 6. Which is the nearest to 0.1? (a) l (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**3 - 11 - 1\/6*u**4 + 0*u**2 - 5*u. Let b(q) be the first derivative of j(q). Let v(o) = -24*o. Give v(b(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67116 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**3\/6 - w**2 - 3*w. Let i = -5 - -11. Let x be d(i). Solve -h - h = x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13604025*q**4 - 110636*q - 48.\nAnswer: 163248300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/71, -3\/2, -2\/11?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/74 or 2?\nAnswer: 103\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.809877 rounded to 2 dps?\nAnswer: 130.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (20 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 4) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 26 - 8912*y - 34 + 39 to u*y + k and give u.\nAnswer: -8912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 11*y - 33*y - 6*y - 196. Factor 2\/3*q**y + 16\/3 - 2\/3*q**3 + 20\/3*q.\nAnswer: -2*(q - 4)*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**2 + 11*k**2 + 0*k**2.\nAnswer: 35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4734495 divided by 105211\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 26700*b - 35644500 = 0.\nAnswer: -2670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11352043, 11352038, 11352033, 11352028, 11352023, 11352018?\nAnswer: 11352013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33174 and 6.\nAnswer: -33168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39327 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: Round -0.09482 to three dps.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(2\/23)*(m**(-2\/17)\/m)\/m**7 assuming m is positive.\nAnswer: m**(-22286\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 - 70*m**2 + 11*m - 150. Let r(z) = -z**3 - 14*z**2 + 2*z - 30. Let t(q) = -2*g(q) + 11*r(q). What is the first derivative of t(o) wrt o?\nAnswer: 9*o**2 - 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/220)\/(-270*(-144)\/145800)?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -7*b - 130 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -267 + -1?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (2 - (3 - -4 - 0) - -5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83677693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77.50634 + 77.5. What is o rounded to four dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))**(2\/7)\/((v*v**1)\/v*v)**(4\/21))\/((v*v**(1\/3)\/v)\/(v*v*v**(1\/4)*v)*(v**(2\/7))**(-2\/131)) assuming v is positive.\nAnswer: v**(11413\/3668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/3 + 5*u**2 + 41*u + 63. Let v be x(0). Calculate the highest common factor of 369 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113643 by -183.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2017*i + 10 = 2007*i. Put -4, i, -8 in decreasing order.\nAnswer: i, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 = -4*r, -4*r - 5*s + s - 4 = 0. Suppose -3*i = -r*i - 5, -447 = -3*d + 3*i. Let w = d - 99. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.7964 (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 502589104 and -0.1.\nAnswer: -50258910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -48 (b) -2\/5 (c) -2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.4394526\nAnswer: -0.2197263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 3*y = 0. Solve -w - 1 = -y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 39*t**2 + 77*t - 3. Let x be y(-41). Let b = -169 + x. Calculate the least common multiple of b and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47954?\nAnswer: 2, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95745 and 6435?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 27 - 7, -4*u + 68 = -2*b. What is the least common multiple of 80 and (-5)\/(u\/(-3)) + 89?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -14. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 10*o**2 - 6*o**2)*(1 - 3 + 0).\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.009781854?\nAnswer: -0.004890927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/4 + 1355*n\/2 + 14784 = 0. What is n?\nAnswer: -2688, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303520 and 4878?\nAnswer: 2731680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 7. Let u(n) = 14*n + 20. Let j(f) = 6*u(f) + 17*x(f). Let v be j(16). Let o = v + 29. Calculate the smallest common multiple of 26 and o.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2170 (base 11) to base 14.\nAnswer: -1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*w**4 - 203*w**3 - 383171*w**2?\nAnswer: 2280*w - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4 - 2. Suppose -76 = -0*c + j*c. Let r be c\/(-14) + 4\/14. Which is bigger: r or 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 2*y - 5. Let b be p(4). Let q = 656 - 652. Suppose -128 = -4*k - 2*v, 5*v - q*v + b = k. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z + 1. Let p(a) = -11*a**2 + 4*a - 7. Calculate p(m) + 2*t(m).\nAnswer: -11*m**2 - 6*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 9*f**2 - 5*f - 2. Let w(u) = -5*u - 1. Let i be w(-5). Suppose -r = -5*r - i. Calculate the common denominator of r and k(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 122078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v + 2*v**3 - 10*v)*(-3*v + 2 - 2) + (-2*v**4 + 4 - 4)*(-1 + 2 + 1).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9175256.\nAnswer: 2, 31, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -31\nAnswer: -35\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244116241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -9. Calculate the common denominator of (-9)\/6 - (s\/(-12))\/13 and 68\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1466a45 (base 13) to base 2\nAnswer: -11000110010011111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/45)\/((o**(-48)*o)\/o) assuming o is positive.\nAnswer: o**(2158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j**2 + 14*j + 4 - 2 + 8*j**2 + j**3. Let z be -39 + 32 + (-2 - -3). Let x be k(z). What is the closest to x in 4, 3\/5, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58074341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 356220*c + 2137140.\nAnswer: 5*(c - 71238)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 0. Suppose -2*z - 3*v + 30 = -4, c = -z + 2*v + 31. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3135 + 3525. What are the prime factors of k?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28854 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 0*r**4 + 14*r**3 + 0*r**2 - 33\/10*r**6 + 0 + 0*r**5 - 74*r. Find the second derivative of d(o) wrt o.\nAnswer: -1188*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (196\/(-252))\/((-8)\/14) and -29\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 174642*q + 57477819 = 0.\nAnswer: -57883, -331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 - 146*k**3\/3 - 592*k**2\/3 - 664*k\/3 - 224\/3 = 0 for k.\nAnswer: -2, -1, -2\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/270*-9)\/(9*36\/(-47142))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 1566809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from emcmdmcmdcmmdddm.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:46 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101.99 + -102.99. What is the biggest value in 1.4, y, 0.3, 2\/7, 2\/5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 286*d - 275*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 205.9 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -7\/2, -9, 3.2, 2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-350))\/(2\/(-10)). Which is the nearest to -2? (a) 2\/5 (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/140 - ((-399)\/(-30))\/(-7). What is the nearest to 4 in -1\/15, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2106.705ml to litres.\nAnswer: 2.106705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184121881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let i = 819 - 814. Suppose -4*u + 7 + i = w. What is the highest common factor of u and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3\/(6\/(-8)))*8\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (62721\/(-230))\/(-27) - 2\/20. Calculate the greatest common divisor of t and 1910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11164 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)\/f)\/(f\/(f**8*f))*f**(3\/2)*f\/(f*f**18*f) assuming f is positive.\nAnswer: f**(-319\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -186 + 885.43\nAnswer: 699.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/4 + 81*u\/4 - 2583\/2 = 0.\nAnswer: -123, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 20*p**2 - p + 19. Let o be k(-3). Suppose 0 = 3*f - 2*x - o, -4*f + 0*x + 2*x + 266 = 0. Calculate the remainder when 127 is divided by f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 254 = -26. Let q = 16 - k. Let r = q + 114. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1876147588\/(-6))\/(21895\/(-30)). Let p = 428442 - g. Let n = p - 8\/151. Is n != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164654.164 rounded to the nearest 10?\nAnswer: 164650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35989 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-6)\/10*30\/(-2046)). Let v = d + 115. Factor -v + k**2 + 4\/3*k - 4\/3*k**3 + 1\/3*k**4.\nAnswer: (k - 2)**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*o + 2202*o + 198*o.\nAnswer: 4228*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohnihhuhh. Give prob of sequence nu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68210533 + 2*s - 515*s**2 + 68210533.\nAnswer: -515*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2440, -11771, -50344, -125459, -249296?\n\"Answer: -2030*p**3 - p**2 + 2*p + 4469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2343, -2344, -2345, -2346?\nAnswer: -2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -395.\nAnswer: 2\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8*2\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {m: 2, p: 5, n: 1, v: 1, o: 5, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1\/7 (b) 3492 (c) -0.5 (d) 1\/8 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5*g**2\/2 + 3. Let q(x) = x. Calculate q(j(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*m**2 - 6*g**2*m + 30*m**5 + 8 wrt m?\nAnswer: 4*g**2 + 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000001010100 - 0?\nAnswer: 10001000001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/41 - -14\/697. Let n = 1.7 - 1.3. Let o = 0.3 + -0.1. What is the closest to -2 in o, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 12*x**2 - 146*x + 161. Let w be b(18). Does w = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84300 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*n - 30509 + 1709 = -48*n. Solve n*v + 16 = 200*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkliiiyilrl. Give prob of sequence yll.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -1\/3, 44, -4, 1006?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 - n**2 + 2*n + 2. Let y = 13 - 8. Let l(p) = -y*p + 2*p**2 + 9*p**3 - 5 + 5*p**2 - 4*p**2 - p**2. Calculate -5*g(j) - 2*l(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - l + 2 - 3 + (-6*l + 3*l + 4*l)*(2 - 2 - 1) + 8 - 8 + 14*l in the form j + x*l and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7) + 175\/49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:42 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 806623 and 77179?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*u + m, -10 = -0*u - 2*u - 4*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 10*a**2 - 3*a + 30. Does 61 divide f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 27. Let a = -2 - -9. Let v(u) = -3*u - 14. Let j(g) = a*v(g) + 4*z(g). What is the units digit of j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -618.8 - -618.5. Put 2\/3, 2.42, j, -1 in decreasing order.\nAnswer: 2.42, 2\/3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17074 - 17076.2. Sort -1, -0.2, u, 0.5, -1\/2 in decreasing order.\nAnswer: 0.5, -0.2, -1\/2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggmggggggmgggg. Give prob of sequence mm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.5 + -41. What is the nearest to -0.1 in 5, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 3, 3\/7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let p = 60 - 59. What is the closest to p in -2, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778 is divided by 507.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2226)\/424*(-32)\/3. Let o be (-168)\/(-18)*144\/h. Suppose 11 = 5*j - 14, 5*j + 100 = 5*u. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1332*y**3 + 305*y**3 - 2363*y**3.\nAnswer: -3390*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298958546.\nAnswer: 2, 59, 227, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q = -4*x + 22*q - 61, 3*x + q + 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94*k**3 + 1618*k - 1618*k)*(2*k + k - k) in the form b*k**3 + w*k**2 + n*k**4 + i + h*k and give n.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.68 + -0.18. Let s = f - 0.4. What is s rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019272001 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 56. Suppose -5*v + 7 = 4*o - 60, 0 = 2*o + 4*v - a. What is the smallest common multiple of 3 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:52 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1114*q + 934. What is the hundreds digit of z(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 650768*o\/5 - 105874747456\/5.\nAnswer: -(o + 325384)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -69155508.\nAnswer: 4149330.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/3 - (8 + -11). Let d = 0.5 - 0.1. What is the second smallest value in h, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9651 divided by 124\nAnswer: -9651\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:10 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 814640226.001318 + -814639413. Let l = -813 + n. Round l to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637.0597 minutes in days?\nAnswer: 5.997958125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -29922, -454, 3, 0 in decreasing order.\nAnswer: 3, 0, -454, -29922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32057159 and 4756.401?\nAnswer: 32052402.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-112)*1*4. Solve -3 = l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(9\/45). Suppose 4*o + 2 = -l. Are o and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {q: 1, h: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11384 and 5?\nAnswer: 11389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20821\/14322 + 1\/1302. Suppose -3*w + 100 - 10 = 0. Calculate the common denominator of f and 4*(-2 + w\/9).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6*(-1096)\/32)\/(7\/(-14)) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2 in increasing order.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 4*s = 3, -3*o + 9 = 3*s. Suppose 9*h - 15*h = 0. Let u = 1.1 - 0.1. What is the nearest to -2 in u, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 8*w - 30 = 0. Calculate the greatest common factor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -35*b**2 - b + 1. Calculate c(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -523.\nAnswer: -5\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eubqqqqer. Give prob of picking 1 e, 1 u, and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5208?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*u + 5*c, 3*u - u - 22 = 3*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3434*p - 3887. Does 33 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4, -3*w + 5*r - 8 = 2. Let l(g) = 57*g + 47. Let v(b) = 29*b + 23. Let n(z) = w*v(z) + 2*l(z). What is the units digit of n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/40 and -19\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0864 and -86.\nAnswer: 7.4304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, 0, 0.28, 5, -3, 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4224\/(-42) - 1*-1. Let s = l + 99. Is -3 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5189519 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 - -5?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 549 and 6819129.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/11 + 8*i**4\/11 - 10*i**3\/11 + 4*i**2\/11.\nAnswer: -2*i**2*(i - 2)*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 2 - 2*j - 2*j.\nAnswer: -8*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -8, -28, -54, -86?\n\"Answer: -3*a**2 - 5*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23584647719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1121 + 1126. Solve -v*u = -3*m - 7, -21*u = -17*u + 3*m + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 7*n**4 - 16*n**4 + n**3 + (3*n + n - 2*n)*(5*n**3 + 3*n - 3*n).\nAnswer: -13*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 746920696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-15)\/(-2340)*4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**4 + j**3 + j + 2. Let h(x) = 16*x**4 - 5*x**3 - 174*x - 10. Let s(k) = -5*g(k) - h(k). Find the second derivative of s(v) wrt v.\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 318 and 2226.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 284 = 276. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 46*m - 17. Let t be (-3)\/(4 - (-11)\/(-2)). Suppose 4*i = -5*o + 25, 2*o - t*i - 10 = -i. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 - 0.063. Put -0.1, r, 5 in ascending order.\nAnswer: -0.1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfhgfbbz. Give prob of sequence zg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + (-1363 - -7 - -2))\/(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-2)\/9 - (-43)\/(-9)). Solve 4*j + 4 + 9 = t, t + j = -c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {b: 1, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718*d + 442*d = -60837 + 3417 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -168. Suppose t = -6*v + 10*v. Suppose -v - 36 = -2*c. Solve -4*y = c - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-100)*2\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455 and 280?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let x be n(8). Let p(c) = c**2 + 3*c - 6*c - 12 + x*c. Let h be p(-6). Sort 2, 1, h.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222401*f - 222372*f = -551 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*b**3*h**3 - 43*b**3*h - b**3 - b**2*h**2 + 8*b*h + 3*h**4 - h wrt h?\nAnswer: -372*b**3*h - 2*b**2 + 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615 divided by 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 201 = 3*y, 5*o - 4*y = 238 + 61. Suppose 0 = -4*h + h - 3*r - o, -4*h + 5*r = 39. Is 12 a factor of h\/(-6)*246\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 8, t: 10}. What is prob of picking 1 r and 3 i?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.27 and -0.3365220401.\nAnswer: -0.6065220401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 19000 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let m(j) = 23*j**2. Give m(s(r)).\nAnswer: 207*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859258967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58068764.\nAnswer: 2, 13, 433, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 358, 360, 362, 364?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184 - 264)*3\/6.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3 - 3. Suppose 5*g - 5*w - 2 = 28, -3*w - 10 = -g. Let p(n) = -4 - 4*n**2 + g + 0. Calculate -6*d(a) - 5*p(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 15, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*w - 32 = 0, 4*j + 4*w - 46 - 10 = 0. Suppose -j = x - 4*x. Solve 0 = -3*f + 3*b - 30, 20 + x = -2*f + 3*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + f + 0*f)*(-f - 3*f + 2*f + (-326 + 326 - 115*f)*(1 - 1 + 2)) to the form x*f + j + p*f**2 and give p.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 2, a: 1, u: 1, w: 1, t: 1}. What is prob of sequence wt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -2*s - 80 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 2*i**2 + i + 7. What is x(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = t + 11*k - 107 + 63, 4*k + 8 = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 88, -1, -0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2036? (a) 0 (b) 71.7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 659 and 41.\nAnswer: 27019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1112677672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:29 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9996 + 9989. Which is the nearest to 0? (a) -5 (b) f (c) -3\/2 (d) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12076946*a*j**4 + a - 3772938 wrt j?\nAnswer: 48307784*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 126 in -0.2, 1.2, 0?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i - i - 6*i**3 + 4*i**3 + 5*i**3 + (i - 4*i + i)*(i**2 - 2*i**2 - i**2))*(-2*i**2 + 0*i**2 + 0*i**2).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109889.\nAnswer: 13, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-3 + (-1 - -1)). Let s(q) be the first derivative of q**3\/3 - 1934. Let m(r) = r**2. Calculate p*m(z) + 4*s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 8*a**2 + 2*a - 4. Let x be u(8). Suppose -p + x = 2*p. Let g = 4256\/3 - 1417. Is p equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**6\/5 - 5*m**4\/3 - 19*m. What is the third derivative of c(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 + 38*a**3\/5 + 126*a**2\/5 + 26*a + 44\/5.\nAnswer: -2*(a - 22)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349762180?\nAnswer: 2, 5, 2833, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 322 + 110. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8258452 - -8?\nAnswer: 825845a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(-25)\/5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -66, -98?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122315 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 119?\nAnswer: 190\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 45*t**2 + 51*t - 9. Let x(h) = 245*h**2 + 258*h - 44. Let n(r) = 11*j(r) - 2*x(r). Calculate n(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t**(2\/47)*t*t**(-1\/13)*t assuming t is positive.\nAnswer: t**(3034\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7 + 3 - (26 + -25)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 154\/7 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8 + 17 + 19 = -7*x, -3*o - 6*o - 5*x - 20 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 - 5*z + 2. Let j be t(4). Let y(g) = 15*g. Let v be y(3). Calculate the highest common divisor of v and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - 1. Let s = -0.8 + l. Which is the third smallest value? (a) s (b) -1\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 - m - 1. Let f(j) = 4*j**3 - 6*j**2 + 6*j + 6. Suppose -2*z + r + r - 2 = 0, 2*z = 3*r - 4. Determine z*f(x) + 6*w(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24625 = -40*f - 85*f. What are the prime factors of f?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -2 + (7 + 1 - (-87 - -90))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/3403 - -302627\/68060. Find the common denominator of -29\/22 and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtmtmttdmtd. What is prob of picking 1 t and 1 m?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 9.2. Sort t, 3\/2, -5, -2\/3 in descending order.\nAnswer: 3\/2, -2\/3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 - 11*p**2 - 6*p + 78. Calculate a(-5).\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2\/29, 2\/53.\nAnswer: -2\/29, 2\/53, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*799\nAnswer: -399.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/15 + 3*n**5\/10 - 43*n**2\/2 - 33*n + 2. What is the derivative of t(o) wrt o?\nAnswer: -8*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqk when three letters picked without replacement from qkqeeo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 263 - 34 + 3*f**2.\nAnswer: 3*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let p = l + 6. Find the third derivative of -6*g**p + 2*g**2 + 0*g**5 - 3*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*n + 2*s, 13*s - 9*s = 3*n - 33 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405475 is divided by 598?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -158900 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1078 times 0.2\nAnswer: 215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22.515 and -0.4.\nAnswer: -22.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 210, 130, 38, -60, -158?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-116)\/10*(-20)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 350002?\nAnswer: 345534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 + 14*d**2 + 11*d. Let b(k) = -6*k**3 - 13*k**2 - 11*k. Let z(u) = 4*b(u) + 3*f(u). What is the tens digit of z(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033e6 (base 15) in base 3?\nAnswer: 1110010210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/6 - z**2\/2 + z\/2 - 1\/6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/35 + 3)\/(39\/(-21))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2368, 5111, 8276, 11863?\n\"Answer: 211*h**2 + 2110*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 13}. What is prob of picking 1 c and 1 p?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 - 7. Let h(k) = -5*k + 6. Let b(f) = f - 1. Let q(s) = -6*b(s) - h(s). Calculate q(x(t)).\nAnswer: -7*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(0 + -1)*7\/126.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.592 - -16.592. Which is the nearest to k? (a) -647 (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*c - 111, 0 = -c + 3*o - 3 - 21. Let n = c - -43. Let i = n - 6. What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1591579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*d**2 + 231*d**2 + 16*d**3)*(7 - 2 + 7) + 2*d**3 + d - d.\nAnswer: 194*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -343*i**6\/20 + i**5\/30 + 7505*i**4\/24 + 102*i**2 - 2. Find the second derivative of k(v) wrt v.\nAnswer: -12348*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382497 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: b\"What is the tth term of -34, -43, -64, -103, -166, -259?\n\"Answer: -t**3 - 2*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-6))\/(54\/(-12)) + -1. Determine n, given that k*n**2 + 2\/3*n + 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554812 and 20.\nAnswer: 2774060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37714, -37712, -37710, -37708, -37706, -37704?\nAnswer: -37702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1446151 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 b when three letters picked without replacement from {f: 1, b: 4, t: 1, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 164*n**5 - 3*n**4 - 168*n**5 + n + 2*n**5 + n**5 - 4*n**5 + (n + n - n)*(2*n**4 - 2*n**4 + n**4) + 2*n**5 + 1 - 1.\nAnswer: -2*n**5 - 3*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018550899 to five decimal places.\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 45. Suppose 5*i - z = i. Solve h = -w + 1, w = i*h + h - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -19*k - 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -994 divided by 13999\nAnswer: -994\/13999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 3*p**2 + p**2 + (0 + 0 + 4*p)*(3*p + 2*p - 3*p) + 2710*p + 187*p**2 - 2710*p to the form d*p**2 + q*p + k and give d.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32 and 490.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22050 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -334356 + 2345143\/7. Let x = y + -670. Which is the fourth biggest value? (a) 0 (b) -1 (c) -0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 580, 2005, 4780, 9355, 16180?\nAnswer: 25705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 7*z + 5. Let c be l(7). Let x(n) = c*n + 5 + 11*n - 13*n. Calculate x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20062023 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -97.887, 606 in increasing order.\nAnswer: -97.887, 1\/5, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - -60?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1134*l + 3392. Calculate s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102816045.2 from 0.\nAnswer: 102816045.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/74, 4, -1?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - i. Let t be r(-1). Let u(h) = -h**3 + 8*h**2 - 8*h - 4. Let o be u(t). Let l = o - -10. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1840*u - 1840*u + 3673*u.\nAnswer: -7*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131 (base 16) to base 12.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -48137?\nAnswer: 17\/48137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379 + 86 + 66)*(-9*x + 2624*x**2 - 2624*x**2 - x**4).\nAnswer: 227*x**4 + 2043*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*o + 6. Suppose -4*q + o + 9 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*-2*sqrt(66)*2)\/(-1*sqrt(384)*-1) + -4.\nAnswer: -8 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1201 and -44\/953.\nAnswer: 1144553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -237*s + 187*s + 1626 + 5174. Solve 0 = 8*d - s + 136 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -5.4224.\nAnswer: -0.4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 + 8*x + 9. Let i be j(-4). What is the second derivative of i*m + 50*m**4 + 2*m - 3 + 1 wrt m?\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(110)\/(1*sqrt(10)))*-2.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**6\/180 - d**4\/4 - 27*d. Let a(p) be the third derivative of o(p). Let n(t) = -11*t**2. Give a(n(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -335609.7 times 0.2\nAnswer: -67121.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2944 and 611?\nAnswer: 1798784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 4 + 7*v - 6*v - v + v**3 to f*v**2 + o + w*v + x*v**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/3, 0.2, -2\/3, 852?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -7*d**3\/3 - d**2 - 6. Find the second derivative of t(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 - (2 + 0). Let t(z) = -8*z + 7*z + g*z. Let a(b) = -1 + b + 4*b - 3*b. What is -a(r) - 2*t(r)?\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, 22973, 1 in increasing order.\nAnswer: 1, 5, 11, 22973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9539*d - 906199. Calculate z(95).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2767 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 120*q**3 + q**2 + 11*q + 10. Determine s(-1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300.7 + 301. Which is the closest to -1? (a) 0.1 (b) -1 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/1176 + 7031\/647976. Find the common denominator of l and 49\/638.\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 8 = m, -3*m = 12. Suppose z*f - 5*l - 11 = 2, -12 = -4*l. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 60850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 1. Let b(y) = -2 + 3*y**2 - 5*y + 2*y**2 + 2*y**2 - 6*y**2. Let w be b(6). What are the prime factors of t(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -150025, -149834, -149655, -149494, -149357, -149250, -149179, -149150?\n\"Answer: -y**3 + 198*y - 150222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 142 - 142 + 2*x**2. Suppose a - 4 = -0*a. Let u(t) = -3*t + 3*t - a*t. What is l(u(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-865)\/(-173))\/(50\/1080).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -38, -131, 5, -5 in decreasing order.\nAnswer: 5, -5, -38, -131, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 9*c + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z + 19*w - 18*w, -z - 6 = -3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(28\/13 + -2). Let d = -139 - j. Suppose -5*h - 14 = -d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -8. Let f be 2\/b - (-1136)\/56. Solve -5*y + f + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -301*n**3 + 16*n**2 + 4*n + 620. Find the second derivative of h(s) wrt s.\nAnswer: -1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534*a + 124 = -530*a. Calculate the highest common factor of 124 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/5 of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:47 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:42 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*v + 480*v + 391 - 391*v + 69)*(-2 + 4 - 4) + (v + 2*v - 2*v)*(-3 - 1 + 2) to o*v + n and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 3*w**5 + w**5 + (-2*w**4 - 3*w**4 + 3*w**4)*(3 - 3 - 2*w).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 - x - 1. Let v be j(-6). Is v < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-48)\/28*51\/(-408))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnl when three letters picked without replacement from nnnnlnnnnlllnwlwnl?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/28*(-18)\/42?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*(2*sqrt(170) + sqrt(170)))\/((sqrt(10) - sqrt(10)*-1*-6) + sqrt(10)))**2.\nAnswer: 173\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/3 (c) -50 (d) 3\/1213 (e) -20 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-4)*-1*(-1466)\/3. What are the prime factors of ((-9)\/(-18))\/(2\/x)?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 5:38 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98385 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h - 28. Suppose -4*v + 2*f + h = 0, 5*v - 4 = 3*f - 2*f. Let i = 3 - v. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2746*m**3*x**3 + 197868*m**3 + 15*m*x with respect to x.\nAnswer: 8238*m**3*x**2 + 15*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 9a?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llclxlwcxwcxcwwc. What is prob of picking 1 x, 1 w, and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 40*n**2 - n + 20. Determine h(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236 - 4?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 12) + 4*7. What is the highest common divisor of o and 3110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0469046904 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 138 = -5*u + 79 - 42, 195 = -3*f - 87*u for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 5, 30, 2, 2919, -2 in descending order.\nAnswer: 2919, 30, 6, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 14 = -3*h + n, -3*h - 10 = -4*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (349*c - 253*c + 515*c)*(4 - 2 - 4)*(2*c + 7*c - 3*c).\nAnswer: -7332*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 - 3552307.\nAnswer: -3552300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25084 divided by -1491?\nAnswer: 25084\/1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/574*(-770)\/20*4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6058171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -107*h**3 + h**2 - h - 1. Let s be v(-1). What is the greatest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = u + 2*k - 93, -3*u - 4*k = -239. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*c + 36, 8*g - 12*g = -c - 30 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138\/18 + -7 - 4\/(-30). Let j = 12\/55 - -2\/11. Is j at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*h - 2055 = 28*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1210 + 1215. Solve -11 = -o*v + d, d + 7 - 5 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -4*w + 26. Let j(i) = -i**2 - 11*i - 1. What is the units digit of j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5769.54000096 + -5768.98. Let k = f + -0.56. What is k rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a5147 (base 13) to base 8.\nAnswer: 23427060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 152 + -161?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25887 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12114 - 103?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 1104 = -79. Let a be (-492)\/18*3\/(-2). Are y and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(6*c + 3*c - 5*c)*(1 - 2*c**2 - 1).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 85658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.184 (b) 0 (c) 5 (d) 1 (e) 5.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-192)\/(-768) + (-14162)\/56584. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*s + 12310 + 11525, -x + 2*s = -4779. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/7)*n\/(n**(-2)\/n)*n)**27 assuming n is positive.\nAnswer: n**(1161\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.052576+3\nAnswer: 3.052576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*o*o)\/o*o\/(o**(-6)\/o)*o**(-4\/3)*o**(-2\/9)\/o assuming o is positive.\nAnswer: o**(259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 0*g = u - 29, 5*u - 4 = 5*g - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677130629 to the nearest integer?\nAnswer: 40953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7132 - -7147. What is the smallest common multiple of 39 and j?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.032 + 0.032. Let h = s - -31. Let v = 5\/99 + 61\/99. What is the nearest to v in 0.5, -0.03, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7573991 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 40 = 0, 4*o + 4*j - 4 = -32 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 57288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 17. Let p be -9 + 9 + 6\/t. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 492205.\nAnswer: 147661.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/20 - 5*h**4\/12 - 5*h**3\/6 - h**2 - 2*h + 95. Let k be 10\/(-8) + (-1)\/(-4). Let v = -2 + k. Give n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.6073ug in kilograms?\nAnswer: 0.0000009756073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + 3*m + 10. Let p(l) = -6*l + 277. Let k(b) = -5*b + 276. Let n(y) = -5*k(y) + 6*p(y). Let c be n(25). What is q(c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0398 and 123?\nAnswer: 123.0398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 - 4 + 11*f**2 - f - 2 - 19*f**2. Suppose -k = k - 2. Let c = 1 - k. What is h(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/9, 141, -1\/3, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 17 = 23. Let k = -112 + 126. Which is the closest to 2? (a) k (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 5*y - 8 = 0. Let o(r) be the first derivative of 5*r - 4*r - 2*r + 3*r + 3*r**2 + 3. Give o(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 222 = -x. Suppose x*t - 73 = 73*t. Calculate the remainder when t is divided by (15\/(-4))\/((-2)\/8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 409 = 4*x - 0*o, -2*o - 521 = 5*x. Let c = 106 + x. Solve 4*v - c*v = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 221, 448, 747, 1118?\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11. Let d = -587\/9 - -65. Put d, t, -2\/7 in descending order.\nAnswer: t, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59c5 + 9?\nAnswer: 5a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxxlll. Give prob of picking 2 l, 1 p, and 1 x.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -14) + (1 - 5) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18951 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x. Suppose -5*j - 3*f - 15 = 0, 4 + 11 = -2*j - 3*f. Let u(t) be the first derivative of 0*t + j*t**2 - 2\/3*t**3 - 2. Determine u(b(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 2287?\nAnswer: -226c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2408\/172 - (-12331 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by 16.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154730 + -884730. Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21 and 20\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 5*c**6\/6 - 4*c**5 - 5*c**4\/2 + 40*c**3\/3 + 5*c**2\/2 - 20*c - 105. Let t(m) = 0. Calculate m.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j**3 + 2 + 0*j**3)*(22 - 7 + 24).\nAnswer: -78*j**3 + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17173, 17322, 17539, 17824?\nAnswer: 18177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:49 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3019*j**4 - 506 + 1013 - 507 + (2*j**3 + 15 - 15)*(-j - 1 + 1).\nAnswer: 3017*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 61251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2933 + -29273\/10. Let h be 188\/20 + 4\/(-10). Calculate the common denominator of l and ((-74)\/18)\/(6\/h).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1385.766461 - 1379.749437745. Let h = d - -25.982977075. Let m = 32 - h. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2681, 4, -2 in increasing order.\nAnswer: -2681, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b + 0*b + 4005 - 3980 + 73*b**3 + 63*b**3 to w + m*b**3 + t*b + p*b**2 and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*d + d + 271, -g - 2*d = 59. Let s(a) = -2*a**2 + 10*a + 1. Let o be s(6). Let u = o - g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (377 - 372)*1\/115*4.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from asjsj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (3*6\/3 - -2). Put y, 12, -1 in decreasing order.\nAnswer: 12, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657 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 v(h) = -8*h**2 + 9 - 4*h**3 - 26 - 2*h**3 - 9*h**2 + 17*h. Let f(b) = 2*b**3 + 6*b**2 - 6*b + 6. Suppose -12*a + 5*a + 27 + 92 = 0. Give a*f(x) + 6*v(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, e: 4, f: 7}. Give prob of sequence fef.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 3*s)*(2*s + 3*s - 7*s) + (-3*s - 3 + 3)*(39 - 8*s - 39).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 5*d. Let s be q(5). Let i be ((-56)\/(-12) - 2)*942\/8. Suppose s = c + c - i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*b - 0*b. Let r(x) = 5*x - 7. Let q(k) = 0 + 0*k + 2*k - 3. Let w(z) = b*q(z) + 6*r(z). Let d(p) = -2*p**2. Calculate w(d(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -477, 0 in increasing order.\nAnswer: -477, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45345517 - 10?\nAnswer: 45345507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 10*h**2 - 10. Let k(m) = -m**2 + 1. Suppose z = -5*v + 10 + 7, -z = 2*v - 5. Let q be (z + 0 - -4) + -3. What is q*i(r) - 20*k(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/119)\/(4\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/666 and 13\/22977?\nAnswer: 45954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -58. Let p(k) be the first derivative of -2*k - n + 0*k**2 + 4\/3*k**3. Find the first derivative of p(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose -t = 5*p - 5, m*p = t + 2*t + 19. Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p**2*q**2 - 787*p**2*q + 95451*p**2 - 5*q wrt q?\nAnswer: -12*p**2*q - 787*p**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*d - 465*d + 10*c = -931*d + 25, -5 = 4*d - 5*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -3 + -3 + -4. Let x(t) = -t**2 - 8*t - 17. Let s be x(o). Let i be (8\/s)\/((-16)\/440). Solve 5*g + y + 3*y = -i, -3*g + 3*y + 3 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 18136086.\nAnswer: -25\/18136086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 36*f**2 - 33*f - 132. Calculate l(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**8)\/(t**(-1\/4)\/t))\/(t*t**0*t)**(-3\/11) assuming t is positive.\nAnswer: t**(-229\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.6, 34, -0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025444441.\nAnswer: 7, 146492063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**3 - h**2 - 6*h + 311. Let p(k) = -12*k**3 - 2*k**2 - 8*k + 314. What is -4*a(w) + 3*p(w)?\nAnswer: -4*w**3 - 2*w**2 - 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -2\/17, 0.2 in decreasing order.\nAnswer: 10, 0.2, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 4. Let i be g(12). What is m in -7 + 5 - 3*m**2 - 11*m + 2 + i*m = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794862014?\nAnswer: 2, 8627, 219941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637836509?\nAnswer: 1877, 339817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.992353 days in hours?\nAnswer: 215.816472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z + 915. Let u = 2506\/5 + -494. Find the common denominator of u and 2*(-1)\/(204\/z).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 11 = 5*m, 5 + 11 = 2*s + 4*m. Which is the nearest to s? (a) -0.3 (b) 0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 72, 0.5, -2.\nAnswer: -2, -2\/13, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1623?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15492699.3 - -42.\nAnswer: -15492657.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 10*q = 51. Suppose 3*y = 3*d - d - 2, -d + y + 2 = 0. Suppose -17 = d*s + 5*x, 4*s - 4 = -4*x - 16. Solve -q*f - s*f = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6380623?\nAnswer: 6380623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 959*j + 351. List the prime factors of o(20).\nAnswer: 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1259*h**3 - 1356*h**3 - 4 + 899*h**3 - 20*h wrt h.\nAnswer: 4812*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3744895 centuries in millennia?\nAnswer: 0.03744895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*-5 - (sqrt(1815) + (sqrt(1815) - -4*sqrt(1815)) + sqrt(1815)))\/((sqrt(216)\/(sqrt(12)*-2))\/(-6*(sqrt(6) + sqrt(54)))).\nAnswer: -3936*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020564 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*o + 433521*o**2 + 0 - 239*o**3.\nAnswer: -239*o**3 + 433521*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -17*f**6\/120 + 3*f**4\/4 - 10*f**2. What is the second derivative of p(w) wrt w?\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = -0*g - 2*o, 0 = -g + 4*o + 7. Suppose 0 = -n - 4*v + 19, 16 - 4 = g*n + 3*v. Let c(b) = -3 - 2 + 4. Let s(i) = i + 4. Calculate n*s(q) - 2*c(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -2\/7 (c) -8.801 (d) 0.2 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.761 weeks in hours?\nAnswer: 52711.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 3 = 0. Let j(d) be the first derivative of 5*d**2\/2 + d + 43. Let t(l) = 9*l + 2. Give g*t(s) - 5*j(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2544 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 253516 (base 7) to base 14\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -182. What is the third smallest value in v, 1\/3, -0.01?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -34*(-7)\/(21\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157136899?\nAnswer: 17, 2399, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let v = -486 - -488. Let i(q) = -24*q**2 - 232 + 7*q**2 + 240 - 8*q**v. Calculate i(h(u)).\nAnswer: -25*u**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 112966.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iddiuduuiudddd. Give prob of picking 2 i and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)*r*r*(r\/((r**(2\/5)\/r)\/r)*r*r)\/r*r**13\/r**(-6\/5))**(10\/13) assuming r is positive.\nAnswer: r**(108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 902667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 146. Let v(b) = -b**2 + b + 1. Let r(f) = d(f) + v(f). Let h(q) = 132*q + 135*q + 134*q - 682*q + 140*q + 139*q. What is r(h(a))?\nAnswer: -4*a**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1435315 - -151?\nAnswer: 1435510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 + 377565521777 - 377565521777.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 42591931.23 to the nearest 10000.\nAnswer: 42590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65771 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 56 = -0*x. Suppose -c + 5 = -x. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -455543227 + -5?\nAnswer: -455543234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -611 (base 13) to base 12.\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and 10452?\nAnswer: 909324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (960\/(-576))\/(1\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 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: What are the prime factors of 46743208?\nAnswer: 2, 5842901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3 - 4*g**2 + g + 2. Let c be d(1). Solve 0 = c*q - 4*s, q = 2*q + 3*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 0*u**2 - 5*u**2 - 1352*u**3.\nAnswer: -1352*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, -0.11, -11\/3, -3\/53, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 - 97*d**2\/7 + 1104*d\/7 - 144.\nAnswer: (d - 84)*(d - 12)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-44) - 4) + 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -17*x**5 + 118*x**2 - 245. What is the second derivative of c(p) wrt p?\nAnswer: -1020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192 or -193?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 178\/20 - ((-707)\/70 + 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/23 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*-3*(sqrt(243) + sqrt(243)*2))**2 + 5*-1*sqrt(243) + 0) + -1.\nAnswer: -354295 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4\/4 + 3723*w**3\/2 + 7449*w**2\/4 = 0 for w.\nAnswer: -1, 0, 2483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1165, 1162, 1159, 1156, 1153, 1150?\n\"Answer: -3*j + 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - 3*r)*(-19*r + 7*r + 6*r)*(-3938*r**2 + 3938*r**2 + 584*r**3).\nAnswer: 3504*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-seven halves of a micrometer?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 100*o - 14. Let f(j) be the first derivative of -j**2 - 3180. Determine f(p(u)).\nAnswer: -200*u + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**3 - 3*k**2 - 2*k + 10. Calculate i(3).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489996941?\nAnswer: 7, 5869, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336*c**2*t*w**2*z**2 - 1104*c**2*w**2 - 8*c*t*w**2 + 2*c*t*w + 161*c*t*z + 2*c*w**2*z + t*w**2 - 2*t*w*z**2 - t*w*z wrt c?\nAnswer: 672*t*w**2*z**2 - 2208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -390, -718, -1150, -1680, -2302?\nAnswer: -3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 769.0000765 - 769. What is b rounded to 6 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(-3\/7))))**17 assuming o is positive.\nAnswer: o**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -597\nAnswer: -14925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6625000 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 96464*w - 96473*w. Suppose -4*h = 4*z - 4, 3*z - 4*h = -0*z - 25. Let r = w + z. Solve r*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 29. Give d(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v + 97*v = 54*v - 40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.98*-8135.\nAnswer: -16107.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kugrgrgkvrruv. Give prob of sequence vv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28507867 at most 28507868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjqqvqqjjjjvjjqjvj. What is prob of sequence vq?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -120, -283, -522, -843?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/21*-7*(-6)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -173882000 rounded to the nearest 1000000?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**3\/3 + a**2\/2 - 4*a - 4. Let u be d(0). Let o(v) = 2*v - 3. Calculate o(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/116)\/((-982)\/1964)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 2*m**2 + 3*m. Let s(n) = -6*n**3 - 3*n**2 - 5*n. Let y(d) = -d**3 + 43*d**2 + 90*d - 5. Let o be y(45). Give o*z(c) - 3*s(c).\nAnswer: 3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.9 take away 1951119?\nAnswer: -1951084.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 1. Suppose 5*g + 3*l = 310, -2*g - 5*l = -g - 84. Let p = g + -56. Suppose 6 = -2*y + 4*q, -p*y + 3*q - 3 = -0*y. Calculate c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddddddddddxdkx. Give prob of sequence kk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43294 divided by 21647.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmmnn. Give prob of picking 1 n and 1 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -68 (c) 2\/7 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.00308 - -0.0050176. Round l to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 2\/7 (b) -0.05 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 6. Suppose h*m = 4*m + 1065. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -6, 2, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2484 equal to -2481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -235*z**2 + 3*z. Let q(b) = 2*b. What is q(y(t))?\nAnswer: -470*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53343?\nAnswer: 3, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, -25, 28, 0 in descending order.\nAnswer: 28, 0, -3, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 6. Let v be s(-3). Let g(x) = -6 + x - x - v*x + 5*x. Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 723 (b) 0.70208 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*l + 4, 2*k - 61*l - 33 = -56*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -801 in decreasing order.\nAnswer: 4, -4, -801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 1680 = 18*g. Solve -5*t - 9*t + g = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10323*u + 2672. List the prime factors of a(2).\nAnswer: 2, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639558 is divided by 3763?\nAnswer: 3611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 12) in base 14?\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 24?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 38. Which is greater: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 8. Let k be h(0). Let x = k - 7. Let j = 3 + x. Solve -5*s + 3*v - 4*v = 30, 5*s + j*v + 45 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2419*z**4 - 6*z**3 - 480*z - 3. Let p(b) = -2419*b**4 - 8*b**3 - 479*b - 4. Let f(s) = -4*m(s) + 3*p(s). Find the second derivative of f(q) wrt q.\nAnswer: 29028*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 + u - 5. Let w be g(7). Let x = 3 + -1. What is the least common multiple of ((-65)\/(-15) + 1)\/(w\/3) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + -2)\/(-7)*(4 - 8). Suppose 5*w - 12 = -3*s, w + 2*s - 3*s - 4 = 0. Suppose 2*j + 1 - 6 = -w*y, -5*j + 22 = -2*y. Put y, -5, q in decreasing order.\nAnswer: y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 36518.\nAnswer: -14607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 219*f**3 + 7*f**2 + 5538*f - 38607062 wrt f?\nAnswer: 657*f**2 + 14*f + 5538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.3 (b) -15.22804 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-10)\/2 - 6))*(-39 - -37)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 5*d)*(3 - 6 + 4) - 6 + 6 - 6*d + 2*d - 4*d - 6*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/5 + 42576*w**2\/5 + 2763081*w\/5 - 5696474\/5 = 0.\nAnswer: -42511, -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18501671\/128439996 - 2\/212649. Calculate the common denominator of 83\/2 and m.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/((l\/(l**(3\/5)\/l)*l)\/l)*l\/(l*l**9\/l)*l*(l\/(l*l\/l**(-8)))\/l*l)\/((l\/l**(-5)*l\/(l\/(l*l**5*l)*l))\/((l*l**3*l*l)\/l**8)) assuming l is positive.\nAnswer: l**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12651 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 + 14*f + 7*f + 2*f - 21*f - 3*f**4 - 15*f**3 - 8*f**2 - 1 as q*f**3 + g + s*f**2 + p*f + d*f**4 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*h + 46 = 2*x, 2*h + 6 = 0. What is the tens digit of x - ((-3)\/1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 7*x - 2. Let r(j) = -3*j**2 + 1 - 2*j**2 + 3*j**2 + 3*j. Let v = -3 + 5. Let t = v - -5. Calculate t*r(q) + 3*f(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837 + -841.07. Let t = -0.07 - u. Which is the biggest value? (a) -0.2 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 49*j**3 + 81*j**2 - 167*j - 251. What is a(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/14 + 8\/28. What is the third derivative of 6 + 3*i**3 - 3*i**2 - 6 - 4*i**f wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(4\/(-10)*5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -82*y + 10 + 84*y - 3. Let u be o(4). Suppose -12 = s - 4*p, 2*s + 6*p - p - u = 0. Which is bigger: s or 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 68293.9490355 and -0.09.\nAnswer: 68293.8590355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.32 + 1.62. What is the nearest to b in -5, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -82. What is the closest to 0.1 in 2, i, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-5\/7)*d*d**(-4\/15))**(-28))**(-1\/25) assuming d is positive.\nAnswer: d**(428\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/9 (b) 4 (c) 3 (d) 1 (e) 2\/497\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -w - 13, -5*b + 12 = -2*w - 9. Let x(z) be the first derivative of 0*z - 2 + 0*z**w - 2\/3*z**3. Let j(n) = -2*n. Determine x(j(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75051363 to the power of 1\/2, to the nearest integer?\nAnswer: 8663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703758630.\nAnswer: 2, 3, 5, 23458621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + g**3 + 0*g**3 - 193.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 1, f: 1, o: 1, r: 8}. Give prob of picking 1 f, 1 l, 1 i, and 1 r.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f. Let t(p) = 2*p. Let d(s) = -5*c(s) + 16*t(s). Let l = 31 + 244. Let k(g) = 7*g**2 - l*g + 275*g. Give k(d(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.03, 0.2, 98, 0.4, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948 = -62*p - 106 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6150, -5646, -4888, -3876, -2610, -1090, 684?\n\"Answer: 127*p**2 + 123*p - 6400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1920.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 17200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 6*1\/2. Suppose 0 = -m*a + 217 + 68. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5\/2 - 374*d**4 + 24955*d**3\/2 - 28451*d**2 + 20978*d - 4628 = 0. What is d?\nAnswer: -178, 2\/5, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, -2, 48\/19 in ascending order.\nAnswer: -2, -1\/2, 48\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*i**2 + 19*i + 0 - 1 - 19*i as u + t*i**2 + j*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122135 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 12:58 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*4 - -2*sqrt(243)) + 6*-2*sqrt(3) + (sqrt(72)\/sqrt(4))\/sqrt(6).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-63))\/(4\/(-30) + 0). Suppose 59*j - 63*j + 6 = -r*u, -8 = -2*u - j. Solve 0*z + 4 = -u*z - 2*p, p = -4*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*(sqrt(343) + -3) - sqrt(343) - sqrt(343)) + 3)**2.\nAnswer: -1190*sqrt(7) + 8864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -35. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2183 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63041, 252116, 567241, 1008416, 1575641, 2268916?\nAnswer: 3088241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 12617.\nAnswer: 25234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-21))\/(6\/(-42)). Suppose f*w + 16*w = -56. What is the smallest value in w, 0.1, 3\/22?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11795 + -11793. What is the second biggest value in 0.3, -0.06, s, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(47\/(-893)*19)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279285.\nAnswer: 5, 607, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 60, p + 2*q + 24418 - 24543 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f - 1. Let p be 20\/(-8) - (1 - 4). Let h(n) be the first derivative of 3\/2*n**2 - 3 - p*n**4 - 2*n + 0*n**3. Determine 2*h(y) - 3*s(y).\nAnswer: -y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18523.3887*-5.\nAnswer: -92616.9435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-5 - (-3 - 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098077131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2664977 is divided by 1194.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Suppose -x*f = -3*z, -2*f + 5*z + 4 = 3*z. Which is bigger: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/9 - (-30 - 321356\/(-6302))?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/255 and -9\/14246?\nAnswer: 213690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72485 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: What is the second smallest value in -5, -0.07, -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 40 - 165 = 187 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.206? (a) -2 (b) -3 (c) -38 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + x - 152 = 3*o, 0 = -x + 2*o - 13 - 49 for x.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37583*p**6 - 2920*p**2 + 21 wrt p?\nAnswer: 4509960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32496\/5 equal to 6500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9405.318 litres to millilitres.\nAnswer: 9405318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7229\/14 + -516. Let w = -4\/21 + p. Which is the biggest value? (a) -1\/9 (b) w (c) 4 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 32?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ee337 + -1?\nAnswer: -7ee338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand j - 3*j**4 + 5*j**4 + 0*j + (-3*j**2 + 2*j**2 + 4*j**2)*(j - j + j**2) - 224*j + 12*j**4 + 224*j.\nAnswer: 17*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:24 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 v when four letters picked without replacement from {v: 12, h: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 5?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:28 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -114, -108, -104, -102, -102, -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27\/160, 0.5, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + -16 - -21)\/((-1)\/2). Solve 4*w - 1 + 6 = 3*v, -y*v + w = -5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l. Suppose l*q - 4*q - 7 = -3*n, -5*q - 3*n = -25. Which is the third smallest value? (a) q (b) 3 (c) -0.1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -12 + ((-12)\/39)\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12620111?\nAnswer: 7, 47, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + -5*-5*sqrt(117) - (sqrt(143) - (-1*sqrt(143)*1 + sqrt(143)))\/(sqrt(11) + sqrt(99)*1 + sqrt(99)).\nAnswer: -10 + 524*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420 is divided by 195.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.07787*3\nAnswer: 0.23361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -27. Sort m, 1\/5, 1 in increasing order.\nAnswer: 1\/5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.0043, 0.004, -11, -1, -2, -0.6?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 129*y - 855. What is u(-7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69954, -139876, -209798, -279720, -349642?\nAnswer: -419564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -6*n. Suppose 0 = -n*h - 15 + 35. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2 + 8*n - n**2 + 4*n**2 + 2*n**2 - 4*n**2. Let w be u(-8). Solve w - 4 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -n - 1144, 611 = 5*k - 5*n - 1309. Calculate the remainder when k is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let d(p) = 0 - 2*p + 3*p + b - 1. Let n(r) = r. Let x(s) = -2*s - 1. Let u(a) = 4*n(a) + x(a). What is -d(h) + u(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81056 and 1305600?\nAnswer: 194534400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 102*y = 57*y + 180 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-2)\/(sqrt(128)*-4))**2.\nAnswer: 45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716128.\nAnswer: 2, 3, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r*r*r**(-4\/5)*r)\/(((r*r**(-2\/13)\/r)\/r)\/((r**(2\/7)\/r)\/r*r)))\/((r**(-1)\/r)\/(r*(r\/(r*r\/(r**(-1\/5)*r)))\/r))**14 assuming r is positive.\nAnswer: r**(13122\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*n + 3*b + 62912, 5*b + 62910 = 5*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7701.\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(93\/((-38130)\/(-82)))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - (-8 - 1)) - -6 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7269.274ml?\nAnswer: 7.269274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 7*a - 4. Let w = -13 + 18. Let k = w - a. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q. Suppose -3*y + v = -10, -y - 2*v + 4 = 3. Is i(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/27)\/(l*l**(11\/7)\/l)*l**(-1\/3)\/(l**(2\/71)\/l) assuming l is positive.\nAnswer: l**(-11525\/13419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5 + (1 - 1 + 2)*(-1 + 3 + 2) - 1 + 4 - 4 + 3 - 2 - 2)*(3 + 3 - 1)*(1 - 1 + x).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfbf. What is prob of sequence fbg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 693436.3 kilometers?\nAnswer: 693436300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 49. Suppose 0 = 4*q + 2*u + 4, -q - 4*u + j = -3*u. Let p = 16 + q. What is the remainder when 34 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7420 (base 13) to base 7\nAnswer: 64612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) - 9\/54\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/4 - 582966*l + 14456788.\nAnswer: (l - 466348)*(5*l - 124)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.221268 millimeters?\nAnswer: 0.0221268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 993224 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 13, 13, 11?\n\"Answer: -u**2 + 5*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/(-21))\/4 - 6\/(-21)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(512) + sqrt(512) + 3 + 0 + sqrt(32)*-2))**2.\nAnswer: 576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4*-2)\/(6\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2, -4*c - 5*i + 6 = -0*c. Solve 0 = 5*a - 5*k - 35, -a + c*k = -3*a + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*g = -36, -2*q = 3*q - 2*g - 72. Let h(u) = 10*u - 160. Let w be h(q). Put 3\/5, w, -4\/17, -5 in ascending order.\nAnswer: -5, -4\/17, w, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15981*u**3 + 13*u**2 + 6*u + 4.\nAnswer: -95886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - (4\/(-22) - 35\/(-11)). Let s(p) = -3*p**3 + p**2 + 3*p + 3. Let r be s(-2). Suppose z*x - 125 = -r. Solve 5*m - m = -x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89323.02172 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -362*s + 13. Let g be w(-2). Suppose 4*z - 3033 = -g. Suppose v + 4*n = 202, z = v + 2*v - 4*n. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 30. Let k(z) = z**3 - 10*z**2 + 8*z + 12. Let o be k(w). Suppose -o*u - 42 = -6*u. Solve n + j = -6, 2*n = 5*n + j + u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100289\/10686 + -16\/411. Let h = -19\/2 + p. Let v = 0.142 - 0.042. Which is the closest to v? (a) 3 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 16) to base 3\nAnswer: 1001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 47 = q + 4*j, -q + 43 = 4*j. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(21\/28). Let m(k) = -3*k + k - 3*k + 3*k + 2 + 4*k**2 - k**3. Calculate the remainder when 16 is divided by m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18 = r + 4*f, 16 = 2*r + 2*f. Put 11, r, 14 in increasing order.\nAnswer: r, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 60 + 7*j**3 + 20 - 6*j**3 + 4*j**2 + 18 + 158*j as d*j**3 + r*j**2 + i + g*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162411 - -26?\nAnswer: -162363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/19 (b) -3\/7 (c) 2\/9 (d) 5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244 - -491. Suppose 246*a - r*a + 596 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*v - 3*v - 3*v + (3*v + v - 6*v)*(-1 - 3 + 5).\nAnswer: -4*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10428*r + 1071. Let p(w) = -2*w**2. What is x(p(z))?\nAnswer: 20856*z**2 + 1071","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.1 and 1592.\nAnswer: 1595.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 17\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 39*q - 339. Calculate u(-14).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)*t)**(-30)*t**(6\/5)\/(t*t\/(t\/(t\/(t**(-2\/13)\/t)*t))) assuming t is positive.\nAnswer: t**(-3294\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987797187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose b*d + 37 = -11. Let j(a) = a + 10. Let s be j(d). Solve l - 4 = s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45\/14213 + -7134938638\/497455. Let v = -14344 - a. What is the common denominator of -87\/28 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 5*h**3 - 3*h**3)*(-5*h - 12*h + 2*h).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/3 - 2*c**4 + 414*c**3 + 21950*c**2\/3 + 47136*c + 107136 = 0. Calculate c.\nAnswer: -9, -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1850528 divided by -1\nAnswer: -1850528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30195*i - 30192*i + 33 = 2*p, -4*p + 54 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = 77*u - 73*u, 4*p = 2*u + 18. Let a = -0.06 + 2.06. What is the second biggest value in 0.2, u, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*-0.062741\nAnswer: -3.576237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5798716 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10939572 and 85085560?\nAnswer: 765770040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = i - 10, 5*i = -51334*x + 51337*x - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3929 - 3929. Let x(u) be the first derivative of 3\/8*u + s*u**3 + 22 - 3\/8*u**2 + 3\/16*u**4 - 3\/40*u**5. Suppose x(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*r - 11 = -0*r, 5*r = -4*x + 7. Suppose x*h - 178 = 2*h. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/9442 and 63\/4.\nAnswer: 18884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-87)\/12 + 7)*-10*288\/30. Solve b = -132*h + 126*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12272 + 12272.015397. What is n rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00471474 to 5 decimal places.\nAnswer: 0.00471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18176\/(-73600) + 4\/46)*15\/42. What is the third biggest value in 4, 4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1262 + -159. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -902, -1354, -1806, -2258?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15697532?\nAnswer: 2, 31, 71, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/17*n**3 + 0 - 16\/17*n**2 + 0*n = 0. Calculate n.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/7612, -34, 7 in ascending order.\nAnswer: -34, -0.3, -1\/7612, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7860 and 120?\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2. Let l(d) = d - 3. Let n(a) = -3*c(a) - 2*l(a). What is n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven fifths of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -23.\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -16*d**2 + 497*d - 32. Let t be v(31). Is 5\/2307 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -a + 12, -2*c + 5 = -5*a + 116. Let z(s) = -70*s**3 + 21*s - 21. Let v(b) = -7*b**3 + 2*b - 2. Determine a*v(k) - 2*z(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632*g - 1661*g = -2971*g + 14490 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51623477.\nAnswer: 23, 2244499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-22)\/s*s*s**(2\/27))\/((s\/s**(-7))\/(s*s*s**(-1\/22))) assuming s is positive.\nAnswer: s**(-16021\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2040)\/25)\/(-34)*(-5)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 - 12*o**2 + 0 - 1 + 0*o**2 - o + 11*o**2 in the form p + n*o + j*o**2 + v*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - j - 2*j - 9 = 0, 3*j = -2*l - 1. Let v be (-20)\/6*6\/l. Let w = 0 - 3. Which is the third biggest value? (a) v (b) w (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -352842, -705660, -1058476, -1411290, -1764102, -2116912, -2469720?\n\"Answer: x**2 - 352821*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) -2 (c) 154.97 (d) -1 (e) -0.3 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 28*o**3 - 13*o**3 + 2 - 66*o - 7*o**3 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - 656\/7. Which is the nearest to o? (a) 0.4 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15041, -15038, -15035, -15032, -15029?\nAnswer: -15026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.77 - 4.77. What is the fourth biggest value in s, -6, 5, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1560*s**2 - 17148*s - 131. What is k(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1120 + 1185. Solve -75 + a = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/36 + r**3\/9 - 28*r**2 + 2625*r. Solve t(b) = 0.\nAnswer: -14, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 7 - 2 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18*r**3 + 3*r**2 + 8*r + 172. Let t(w) = 12*w**3 - 2*w**2 - 5*w - 115. Let b(k) = 5*d(k) + 8*t(k). Differentiate b(v) wrt v.\nAnswer: 18*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*h - 2*d - 3, 3*h + 4*d = 12. Let i(x) = 5*x**2 + h + 0. Let j(t) be the third derivative of t**4\/8 + 5*t**2 - 1425*t. Calculate i(j(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(5))\/sqrt(4) - sqrt(35)\/(sqrt(28)\/sqrt(4))) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 8*z + 11. Let p be q(9). Suppose 9*b = p*b + 56. Calculate the smallest common multiple of b and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)\/(w**4*w)*w\/(w\/(w\/(((w*(w*w**(-1\/3))\/w)\/w)\/w))*w)*w*w\/((w*w*(w\/(w\/(w*w**(-2\/19))*w))\/w)\/w))**15 assuming w is positive.\nAnswer: w**(-2260\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 14. What is the tens digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(1\/6)*h)*h))\/(h\/((h**(5\/2)*h*h*h)\/h)))\/(h**(-4)*h*h*h**(-1\/9)) assuming h is positive.\nAnswer: h**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -28*t**2 + 29*t - 1731. Let b = 12 - 22. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from ubzmmnk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*v - 6325 = -162*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from szssssszs.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iif when three letters picked without replacement from feiiefeee.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67899\/5 - -13579. Sort 2, -0.04, -0.3, s, 0.2 in descending order.\nAnswer: 2, 0.2, -0.04, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/7*w**2 + 6\/7*w - 2\/7*w**5 + 0*w**4 + 12\/7*w**3.\nAnswer: -2*w*(w - 3)*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 45*h - 5. Give t(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*k + 18, 2*k - 2*t + 10*t - 26 = 140 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46150 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 736\/28)*7. Let p = 155 - d. List the prime factors of p.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36767 or 36766?\nAnswer: 36766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 27650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000132487 to 7 decimal places.\nAnswer: -0.0001325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14649.\nAnswer: 3, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1401802232 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -26*c**2 - 165*c - 10. Let k be a(-4). Solve -18 = 54*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -142021 and -5.52.\nAnswer: -142026.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*b - 2, -4*d + 3*b + b + 12 = 0. Solve -2*m = d*a - 18, -4*a - 1 + 2 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94348363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -200, -770, -1712, -3026?\n\"Answer: -186*i**2 - 12*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (37\/((-999)\/6))\/((-14)\/12). Let u(a) be the first derivative of 16\/7*a - 6\/7*a**2 - l*a**3 - 16. Determine m, given that u(m) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(-2*w + 4*w + 0*w) - 4*w + 2 + 8*w**2 - 9*w**2 + 2*w**2.\nAnswer: 5*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.4773 - 157.4. Round w to 3 decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29417 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-2)\/6). Let j = a + 0. Let l(q) = -q - 2. Let k be l(-3). Are j and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114767000 to the nearest one million.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -457 or -456?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7) + (2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/609 and -73\/174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - (-8 + -3)) + 4622?\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 65 + 51 - 116. Let q(b) be the second derivative of 0*b**2 + 0 - 11\/6*b**3 + 2*b. Calculate q(x(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488.1182ug to tonnes.\nAnswer: 0.0000000004881182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 55182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 23*m + 24. Let x be t(-22). Suppose -11*v = x*o - 8*v - 54906, -82359 = -3*o + 5*v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 2137.59 in descending order.\nAnswer: 2137.59, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 4 - 4)*(0*i + 5*i + 0*i) - 40*i**3 - 35*i**3 - 3*i**3 as f*i + t*i**3 + s*i**2 + r and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22857, -182680, -616395, -1460928, -2853205, -4930152?\nAnswer: -7828695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -55*z**3 - z**2 + 6*z + 7. What is the remainder when q(-1) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 402 + 16221*m + 401 - 16221*m.\nAnswer: 9*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/23027?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860586 is divided by 1545.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*v = -15, 5*v = -23*u + 20*u - 15. Let y = 0.2 + -0.1. Put y, -3, u in ascending order.\nAnswer: u, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18*y**3 + 8*y**2 - 72*y + 6. What is x(5)?\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7*f**2 + 2\/3*f**3 - 16*f + 29. Factor q(i).\nAnswer: 2*(i - 8)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 100?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-32)*260\/15. Let f(n) = -5*n - 12. Let w(o) = -11*o - 25. Calculate s*f(i) + 6*w(i).\nAnswer: -i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*v + 2765 = -233*v for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17021 + 20848. Calculate the lowest common multiple of 2 and p.\nAnswer: 7654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*-1*3 + -5.\nAnswer: -21*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1560 + 1560. What is the third smallest value in -2\/5, r, 2\/9, 5, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -26*f + 11. Let k be g(10). Is k*(-2)\/(-18)*-3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 950694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7837791 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: Collect the terms in 4 - 481*s + 11 - 15.\nAnswer: -481*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -10*o - 488. Sort -3, 2, 5, o in descending order.\nAnswer: 5, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24064057 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2\/4 - 10340*n + 704565\/4 = 0 for n.\nAnswer: -8289, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g - 24. Let v(j) = -1. Suppose 2*x - 22 = -9*x. Let a(m) = x*y(m) - 48*v(m). Calculate a(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 - 48*j**3 - 92*j**3 - 23*j**3 - 68*j**3.\nAnswer: -211*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(104))\/sqrt(8).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/555698 and 27\/153296.\nAnswer: 4445584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:12 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273928757 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -g - 5*o, 3*o = 3*g + o + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-55941)\/60 - 2)\/(-357). Let a = y - -111\/119. What is the common denominator of -101\/18 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 < 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*d**3 - 101*d**2 + 36*d**2 - 3 + d**4 + 66*d**2 to i*d**2 + s*d**4 + l + y*d**3 + z*d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7122 is divided by 146?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0173 * -465913.\nAnswer: -8060.2949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -97193, -97190, -97187, -97184, -97181?\n\"Answer: 3*t - 97196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 613, 651, 717, 817, 957, 1143, 1381?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 126*t = 416. Calculate the highest common divisor of 1004 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.27. Let z = i + 0.01. Let r = -0.3 + 0.2. Which is the third biggest value? (a) r (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/18 + (-1)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13475*p - 13369. Is d(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*v**3 - 32 - 113*v**3 - 107*v**3.\nAnswer: 5*v**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*n = 30, 0 = -0*o + 2*o + 5*n - 12. Does 13 divide 340\/o - (-4)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.128, -2, -0.01, -0.4, -1\/4, 1.3?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 times 15582?\nAnswer: 4783674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 228 = 61 - 13 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 50227470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*9\/(-2). Suppose -m = c*m. Suppose m*y = -y + 12. Solve 3*u + y = -0*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211454 (base 9) in base 16?\nAnswer: -1eb41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164190635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let v(k) = 7920*k. Give v(j(p)).\nAnswer: 15840*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -183190.\nAnswer: 1648710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 9. Suppose -5*w - 32 = -2*v - 0*w, 4*w - 2 = -3*v. Let m be p(v). Suppose m*o - 122 = 361. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n**2 + n - 10*n + 8*n.\nAnswer: -88*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -36628128201.\nAnswer: -36628128200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 - 1. Let t(o) be the second derivative of -o**2 + 2*o + o**3 + 5\/8*o**h + 0 - 11\/20*o**5 - 7\/20*o**6. Suppose t(r) = 0. Calculate r.\nAnswer: -1, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*r**2*t**3 + 17*r**2*t - 199*r*t + 10660*t**3 + 10*t + 2 wrt t?\nAnswer: -66*r**2*t + 63960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.315?\nAnswer: -1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239617 is divided by 88?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 5 (c) -0.04 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 69. Let g = l - 16. Let s = 59 - g. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37493964 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 - 27710082?\nAnswer: -27710078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1 + 1. What is the smallest common multiple of 2\/(-7) - -18*12\/21 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 127*k. Let p(v) = -v**2 - 5*v + 2. Let c(t) = -15*t + 6. Let m(x) = c(x) - 3*p(x). Give m(u(n)).\nAnswer: 48387*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366539 is divided by 6545?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10668)\/(-56) - (-4)\/8 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268041437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/7 + 304*k**2\/7 + 620*k\/7 + 312\/7 = 0 for k.\nAnswer: -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/20 + 11*n**4\/6 - 11*n**3\/3 + 13*n**2 + 32*n. What is the lowest common multiple of 2 and d(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383 divided by 17?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 161*o - 22. Let z(l) = 161*l - 37. What is 3*n(p) - 2*z(p)?\nAnswer: 161*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -2, 5, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 2. Suppose -m + 6*m = 0. Suppose -3*u + 18 = -3*y, -u + 4*u - 15 = m. Let t be i(y). Solve 5*f + t = 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*6\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2\/23))*g**(-4)*g*g)\/(g**(-2\/7)\/g*g*g\/g**(2\/3)))**(2\/79) assuming g is positive.\nAnswer: g**(-2062\/38157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.377821 minus -5.48657?\nAnswer: 5.108749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 20. Suppose -r*y = -2*y - 6. Let k(j) = -y*j + 3 + 0*j + 3. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283 + -212. Let a = 71.00748 - r. What is a rounded to four decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(4\/27)\/(l**(-1))**(-21))\/(((l**(2\/11)\/l)\/l)\/(l\/(l*l**(-7))))**22 assuming l is positive.\nAnswer: l**173","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b - 3. Let k be j(-1). Let h(x) = k*x + 11 - 2 - 8. Determine h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2002 and 137423.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*s + 12, 3*d + 10 = -0*s + 2*s. Let x = 4 - 2. Let i(h) = -h + 0 + 3 - x. Let g(n) = -5*n + 7. Determine s*g(r) + 6*i(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3033, -6066, -9099?\n\"Answer: -3033*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - 3 - q)*(107 - 58 - 32).\nAnswer: -34*q - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -7, -3, -6, -2, -4.\nAnswer: -7, -6, -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**8\/336 + f**4\/8 - 8*f**2. Find the second derivative of d(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 + -0.4. What is the third smallest value in 0, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 78*a - 5373. Let b be s(69). Which is smaller: b or 396?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 59*u + 59*u. Let a(y) = -13*y - 5. Let z(q) = 20*q + 8. Let d(o) = -8*a(o) - 5*z(o). Give d(p(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2054396 and -0.029?\nAnswer: 59577.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-212*d + 212*d - 259*d**4)*(3 - 6 + 5) as i*d**2 + w*d**4 + m + l*d**3 + h*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-273)\/(-224) + (-7)\/6. Let q(a) be the second derivative of 0*a**2 + 0 - b*a**4 - 1\/240*a**6 - 1\/40*a**5 - a - 1\/24*a**3. Factor q(x).\nAnswer: -x*(x + 1)**2*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:59 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 12) in base 10?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12522250*g**3 - 124425*g**2 wrt g.\nAnswer: -75133500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4 - d**2 - 10.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802831.2 litres to millilitres.\nAnswer: 802831200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1594.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmvffv. Give prob of sequence fm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78591\/2805 + (1 - 28) + 13\/((-65)\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735623*k**2 - 735618*k**2 - 3*k**3 + 2*k**3 - 13*k - 2 to w + s*k**2 + b*k**3 + f*k and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 - 5 = 0. Let y(b) = -b**2 + 12*b - 13. Let l be y(11). Let x be 1\/l - (-22)\/4. Solve 6*s + q*k - 21 = s, x*k - 5 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -4\/5 (b) -0.1091 (c) 4 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (2 + 14)\/(-4). Let m be 3\/12 + 22\/8. Solve m*j - r = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*z + 5*z - 12*z + 114 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232238 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665525887*o**2 + 206*o - 2797247 wrt o?\nAnswer: 1331051774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:14 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10*z - 76. Determine w(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:55 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*g - 145*o + 140*o, g - 25 = 2*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-114)\/(-1767) - (-6)\/(-93). Which is the nearest to o? (a) -20 (b) 0.3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64564 or 46926?\nAnswer: 46926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1470420156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 427 - 392. Solve -s - 18 = 3*h, -2*h - 5*s - l = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2635595625 divided by 5\nAnswer: 527119125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10143*y**2 + 902730*y + 267.\nAnswer: 3*(y + 89)*(3381*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 20*f**2 - 22*f + 18. Suppose -70 = 5*a + 30. Is 66 a factor of p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54087, -54100, -54119, -54144, -54175, -54212?\n\"Answer: -3*g**2 - 4*g - 54080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116218572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)\/k*k**3*k)\/(k\/k**(-4)*k**(-2\/3))*(k*k**(-2)*k)**(-1\/86)*k*k**(1\/4)\/k*k**4*k*k assuming k is positive.\nAnswer: k**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, 279, -3\/4, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j + 1. Let l(h) = -4*h**3 + 5*h**2 + 6*h - 9. Let w(n) = -5*i(n) - l(n). Let c = 21 + -17. Suppose c*t + 19 - 3 = 0. Give w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllflflhhalbbbl. What is prob of picking 1 f and 1 h?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 6763 = 266*n + 614 + 658 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448)*1 + 5)) + 0 + sqrt(448)*-1)**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -872212*k**4 + 88*k**2 - 636034326*k wrt k.\nAnswer: -10466544*k**2 + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3806, 3807, 3808, 3809, 3810?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 25378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82 + 82 + 5*w**2)*(-3 - 2*w + 3) + (-1 + 1 + w**2)*(-7*w + 2*w + 3*w) in the form x + n*w**3 + y*w**2 + p*w and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1909 times 7\nAnswer: -13363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 + -84.65?\nAnswer: -343.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 + 11*s**2 - s - 11. Let z(l) = l**3 - 2*l**2 - 2*l. Let i(j) = -h(j) + 5*z(j). Determine i(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 66*k - 276. Let g be d(4). Solve -45*c = -g*c - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 3. Let r = 4 + -3. Let s = o + r. What is the smallest value in s, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(-45)*((d\/(d*d*d\/((d\/d**(-3\/16))\/d*d)))\/d)\/d**(-17) assuming d is positive.\nAnswer: d**(-2637\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = w - 17 + 2, w - 3 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + t + 0 + (-4*t + 7*t - t)*(-1 + 3 - 1).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + j. Let q be k(1). Solve 18 = -4*m - 0*m + q*w, 0 = 3*w - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -1\/3 (b) -2 (c) 3\/5 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 2 - 15*c**2 - 8*c**2.\nAnswer: -23*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 7646094*c - 91753416.\nAnswer: 2*(c - 12)*(c + 3823059)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 193 - 17140624\nAnswer: -17140431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -16*m + 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 11. Let d = 5 - o. Which is the biggest value? (a) d (b) -0.1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9*16\/48. Which is the nearest to 0.1? (a) u (b) -5\/3 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -350391.\nAnswer: 4\/350391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 + 6 = 2*u, -2*u + 16 = 2*l. Which is the nearest to -10? (a) u (b) -1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b. Let u(h) = -3*h + 442922. Determine u(r(k)).\nAnswer: 45*k + 442922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817476704?\nAnswer: 2, 11, 2322377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**4 + 870*p**3 + 220750*p**2 wrt p.\nAnswer: -96*p + 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206083655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) - (4 + -3). Suppose 4*k + 2*m + 2*m - 40 = 0, m = v. Suppose k*r - 20 = 6*r. Sort r, 0, -1 in increasing order.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 2394*w**3 + 450543*w**2 + 10796940*w + 61020300.\nAnswer: 3*(w - 410)**2*(w + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 35*z**2 - 31*z + 83*z - 22*z - 23*z.\nAnswer: -33*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2783.8 take away 4675192335?\nAnswer: -4675189551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.5 and 2.77?\nAnswer: 5.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2 - 4*r + 3*r**2 + 4*r**2. Let g(s) = -4*s + 1. Let t(c) = 2*b(c) - 3*g(c). What is the remainder when 50 is divided by t(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/((-170)\/51)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*c**4 - 2 + 9 + 79*c**4 wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7990, -63824, -215392, -510562, -997202, -1723180, -2736364?\nAnswer: -4084622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(1\/19)*m**(-6\/7)*m**(-7) assuming m is positive.\nAnswer: m**(-5239\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from pbiqipipfbig.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 13*k**2 - 15*k - 12. Let d be j(-14). Suppose -d*l - 62 = -g, 3*g = l + 15 + 196. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suullvlhvuv. Give prob of picking 2 l and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w = 1055, -5*w = 5*f - 0*w - 1055. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 2*r**4 + 2*r**4 + (6*r**2 - r**3 - 6*r**2)*(-3*r + r + 0*r) + 3*r + 4*r**4 - 3*r.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*c**2 + 352*c**2 + 825*c**2 - 290*c**2.\nAnswer: 1116*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/4)*(x**(-12)*x*x*x)\/x assuming x is positive.\nAnswer: x**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -2*n. Suppose 8 = -m - 3*b + 19, 4*m + n*b - 24 = 0. Find the first derivative of 8*d + 13 - d - m*d + 14*d wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*b**3 - 211*b**3 - 234*b**3 + 784*b**3.\nAnswer: 225*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 53*j - 9. Let l(a) = -21*a - 6. Let y(o) = 364*o + 105. Let t(x) = -35*l(x) - 2*y(x). Give t(d(r)).\nAnswer: 371*r - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/30 + 5*i**4\/12 + 11*i**3\/6 - 40*i**2 - 21. Determine x(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -2. Let j = -1 + a. Let m(q) = q**3 + 6*q**2 + 3*q - 3. Calculate m(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 - 213. Let t = 7 - 11. Let i = t + 4.1. Which is the closest to o? (a) i (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1168 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*k**2 - 62 + 62 to b*k**2 + f*k + r and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/140, 117758, 4, -5?\nAnswer: 117758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27770, 34051, 40332, 46613, 52894?\nAnswer: 59175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2 - 3*g - 1. Is r(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484813917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 2 - 3 - s + s**2 + s. Let h be q(5). Calculate the greatest common divisor of h and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 77*j - 11. Let g(v) = -540*v + 81. What is -2*g(k) - 15*h(k)?\nAnswer: -75*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.051, 2, 0.933 in decreasing order.\nAnswer: 4, 2, 0.933, 0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 244483, 244481, 244479, 244477, 244475, 244473?\n\"Answer: -2*r + 244485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14733 + 376?\nAnswer: -14335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 206627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -457*g - 1828 + 76*g + 379*g to the form r + n*g and give r.\nAnswer: -1828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 10 = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586441.3 seconds to microseconds.\nAnswer: 586441300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0.4, 0.5, 0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -1 - (-1)\/1. Suppose 6*j = f*j. Suppose 6*s - 2*s - 32 = j. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let c(o) = -o**2 - 3*o - 12. Suppose 0 = -4*k + 120 + 208. Let b be 3\/(-21) + k\/(-14). Let i(w) = b*x(w) + c(w). Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 137 + 919. Suppose -o + 4*r + p = 0, 5*o + 4*r - 560 = -r. What is the remainder when o is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21223\/10 - 2124. Let b = 198 - 785\/4. Let v = b + 0. Find the common denominator of a and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*y + 3*u - 13 = -185*y, 4*y = -2*u + 22. Solve y*k = -5*a + 5, -5*a + 12 = -5*k - 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5507919 millennia to centuries.\nAnswer: 5.507919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99898 is divided by 4714?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20712 + -20712. Factor -1\/6*v**3 + 0*v + 0*v**2 + 1\/6*v**5 + 0*v**4 + y.\nAnswer: v**3*(v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 25. Solve -w = -2*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5.6 (b) 2\/3 (c) 4 (d) 12 (e) 342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 823698*m*s**2 + 1093*m*s - 81*m + 36*s**2 + s + 17 wrt s?\nAnswer: 1647396*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = -17189 - 17677. What is the remainder when y is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 960*a**2 + 959*a.\nAnswer: a*(a + 1)*(a + 959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q + 12 - 23*q + 10 + 10*q in the form a*q + z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*n + 4*d = -241*n - 36, d = 5*n - 2 - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-90))\/((198\/55)\/9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23850 - 18928. Calculate the lowest common multiple of 20 and u.\nAnswer: 49220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6796*t**3*z**3 - 2*t**2*z**2 - 8*t**2*z - 38*t*z**3 wrt t.\nAnswer: -40776*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - u**2 + 3*u. Let r(k) = -2*k - k + 4*k. Let j = 5 + -6. Calculate j*c(h) + 3*r(h).\nAnswer: -2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1)))\/c**0*c\/(c**(4\/5)*c)*c*c*c**8\/c assuming c is positive.\nAnswer: c**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - 27263042.\nAnswer: -27263024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*w + 62*w + 81*w)*(2*w - w**2 - 2*w) in the form a + b*w**2 + k*w**3 + r*w and give k.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, 0.77, -2\/13?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486368718 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -9\/10, -1, 4, 0.98.\nAnswer: -1, -9\/10, 1\/10, 0.98, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 136716992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5 + 1. Suppose 0 = 4*b + 7 + u. Is -1\/2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 16*o + 3. Let g be u(16). Find the second derivative of 17*c - 9*c**3 + 3*c**3 + 4*c**g wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m. Let k be (-28)\/(-18)*-4 - (-10)\/45. Let t(d) = 9*d. What is k*t(s) + 9*v(s)?\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:45 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**2)\/j)**(-3\/14)*(j*j**8\/j)\/(j\/j**(-1\/10)))**(-36))**(-12\/17) assuming j is positive.\nAnswer: j**(110808\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 5*v + 8. Let y(w) = -3*w - 3*w + 9*w + 0*w - 5 + w**2. What is 5*o(c) + 8*y(c)?\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*b = b. Let k(q) be the third derivative of 0*q**4 + 1\/210*q**7 + 5\/336*q**8 + 2*q**2 + b + 0*q**3 + 1\/75*q**5 - 2\/75*q**6 + 0*q. Factor k(v).\nAnswer: v**2*(v + 1)*(5*v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100\/(-168) + 5\/(45\/6). Let g = -7 - 13. Let t be (-1)\/3 - g\/15. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.029 (b) 3\/5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 10. Suppose -5*w - t = -5*t - 169, -s*w + 164 = t. Solve -b - 5*l = 15, l + w = -5*b - 3*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 717*0.23525\nAnswer: 168.67425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2. Let f be 3*(2\/2)\/1. Let u = f - 1. Let r(n) = 2*n**2 + 0*n**2 + 0*n**2 - 3*n**u. Determine r(h(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -45\/26, -0.07, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 2*j**2 + 0*j**2 + 3*j**2 - j**2 - 4*j**2 + (2*j + 1 - 1)*(-7*j + 2*j + 4*j) + 5*j**2 - 4*j**2 - 4*j**2 - 144279 + 144279 + 769*j**2 + 368*j**2.\nAnswer: 1131*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10635.\nAnswer: 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 1467825 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590407737?\nAnswer: 83, 727, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44044 (base 12) to base 9\nAnswer: -146287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.6 - 29. Which is the smallest value? (a) 5 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1220)\/100)\/(-61))\/(2\/170)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -183*u**2 - 5. Let l(t) = 182*t**2 + 4. Let p(z) = 4*l(z) + 3*v(z). Let y be p(1). Let k be (3*1)\/((-54)\/y). Are k and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*t - 35, -t + 3 + 7 = y. Solve -y = -2*m + m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -540, -534, -504, -438, -324, -150, 96?\n\"Answer: 2*n**3 - 8*n - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**5\/c)\/(c**37*c))\/(c\/c**15*c\/(c**(-16)*c)))**(-15) assuming c is positive.\nAnswer: c**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -16538\/73 and -226 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74890700*f**3 - 228346885 wrt f?\nAnswer: 224672100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*r**2 - 30*r**2 - 13*r**2 + (-r + 0*r + 0*r)*(595 + 198*r - 595) as o*r + l + v*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in 1781, 0.3, 5, -5, -33.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -880 - -37?\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424 divided by -106.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {d: 3, l: 1, y: 2, f: 6, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29765 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1640, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2 + -1 - 0). Suppose -3*u - 10 = -o*z, 2*z + 6 = -u + 5*z. Suppose u*m + 3 = -m, 3*h - m = 33. What is the smallest common multiple of h and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 3580*g - 17775.\nAnswer: -5*(g - 711)*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*h + p, -36 = -20*h + 17*h + 3*p. Let i be (-4 - 32\/(-1)) + h. Solve -3*x = -3*a - 6, 5*a + 0*x + i = -4*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(70)*2 + sqrt(70) + sqrt(70))*-5 - sqrt(70) - sqrt(70)*2*2)\/(5*(sqrt(250) + sqrt(10) - sqrt(10) - sqrt(10))*4) + -4.\nAnswer: -25*sqrt(7)\/16 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 28*g - 2. Let w be b(-2). Is (w\/4)\/((28\/8)\/(-7)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3875651280 and 8856?\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z + 7. Let t(k) = 5*k**3 + 4*k - 13. Let s be t(2). Suppose 4*g - 85 = -f, 3*g - 3*f - s = 2*f. What is the remainder when p(7) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**12*w))*(w*w**(-7\/3))\/w)\/(w\/w**(-24)*w\/w**(-29)) assuming w is positive.\nAnswer: w**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001 - 101?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1001640431 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -4502.\nAnswer: -4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 13500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1685, 3368, 5049, 6728?\n\"Answer: -u**2 + 1686*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -49*c**2 + 32*c**2 + 4*c - 6*c - 6*c. Let i(x) = 4*x - 4*x**2 - 3*x + 0*x - 3*x. Let t(l) = 6*g(l) - 26*i(l). Find q such that t(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.162 + -0.238. Let q = 0.01 + -3.01. Put -3\/5, q, t in decreasing order.\nAnswer: t, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599377 a multiple of 921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1042 - -1361. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17))**(-33) assuming t is positive.\nAnswer: t**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 + 1)\/((-9)\/45). Let a be (-25)\/3 - (-2)\/6. Is (-2)\/a + u\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 18, -3, -1 in decreasing order.\nAnswer: 18, 6, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17567, 17561, 17551, 17537, 17519, 17497, 17471?\n\"Answer: -2*y**2 + 17569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7320673 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 + 308 - 2*s - 1372)*(-2*s + s + 3*s).\nAnswer: -4*s**2 - 2584*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35.75552 millilitres?\nAnswer: 0.03575552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*a - 10, 0 = -2*m + 3*a + 19 - 48. Let x(o) = o**2 - 6*o. Is x(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19951047.\nAnswer: 3, 17, 130399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13349018 rounded to the nearest one hundred thousand?\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165395.947 - 165296. Let l = 100 - x. Round l to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1298857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*d - 10, 2*d + u - 1 = -0*u. Differentiate 0 - 4 + 4 + 3 - 2*s**d wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 + (30 - -5 - -6). Let y = 41 - g. Suppose 4*c = y*c + 1990. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126006 is divided by 179?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53326 and 178269.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffy when three letters picked without replacement from {z: 2, x: 1, v: 4, f: 3, y: 6}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooouuooooooooooo. Give prob of sequence ouu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*k - 33, 5*q + 7*k - 3*k = 17. Suppose -2*t - 3*o = -1486, 3*o - 561 = q*t - 4276. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1792216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 247, 249, 251, 253?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4067 - 14196 = -r, -r = -4*v - 18257. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 769 + -771. What is the closest to -2 in p, -5, 1\/38, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960792 less than 960791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105382 or 105546?\nAnswer: 105546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16259609 by -16259609.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52199?\nAnswer: 7, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2083014793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) 0.2 (c) 0.9 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/60*b**5 + 0*b + 0 + 0*b**6 + 0*b**3 + 2*b**2 + 11\/210*b**7 + 0*b**4. What is the third derivative of u(g) wrt g?\nAnswer: 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1611*s**2 + 4833*s - 4833. Let y(q) = -q + 1. Calculate g(m) + 4833*y(m).\nAnswer: -1611*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-218.\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2*p - 1. Let y(w) = -w**3 + 7*w**2 + 8*w + 3. Let b be y(8). Let g be q(b). Suppose -g*m = -3*m + 58. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 7*s + 8. What are the prime factors of d(-7)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -110, -181, -280, -419, -610, -865?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120859 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let v be g(6). Calculate the lowest common multiple of 11 and ((-8)\/v)\/((-7)\/21).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 6 + 5)*(-2*a + 2*a + a)*(2 - 2 - 1).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28639898 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8231\/24 + -343. Let q = -3\/8 - o. What is the nearest to 0.2 in 2, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378603 is divided by 523?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v - 1. Let l(n) = 6*n**2 + 3*n + 4. What is -l(r) - 3*z(r)?\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 4, 2 in ascending order.\nAnswer: -8, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/26 and 83\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/8))**(3\/17)*h*h\/h**6*((((h**(11\/2)\/h)\/h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(-449\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 19.80144nm?\nAnswer: 0.00000000001980144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 25047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7811784 is divided by 1001?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 63, -3, 6\/5, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 + 5*a + 5. Let s be r(-7). Let c = 684 + s. Let f be 82000\/((-2 - 1) + 1074\/c). Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2105 - 14*n + 616 + 29*n + 852*n**3 - 15*n with respect to n.\nAnswer: 2556*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 3*p - 6*p)*(3 - 2*p - 3) + (p**2 - 4*p + 4*p)*(24 - 26 - 40).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/9*2079\/18. Suppose 75 = -5*l + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/5)*m**(-11))**(-47)\/((m\/m**(1\/4))**(11\/7)*((m**(-3\/4)*m)\/m)\/m**4) assuming m is positive.\nAnswer: m**(16904\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -147728*y**3 - 160823 wrt y.\nAnswer: -443184*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 7*q**2 + 3. Let y(i) = i + 3. Let p be y(-10). Let d be z(p). Factor 3*o**2 - 6*o + 9 + d*o**3 - 3*o - 3*o - 3*o.\nAnswer: 3*(o - 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*r = 141*r + 2681 - 12756 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b60 + -390a1?\nAnswer: -38141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l*r**3 + 3*l*r + 118*r**3 + 37*r wrt r.\nAnswer: 30*l*r + 708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 26 + 10 = -5*s, 5*s = 4*q + 4. Suppose -s*x - 1761 = -7*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 13341, -10, -3 in descending order.\nAnswer: 13341, 10, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -t, -t = 5*o + 2*t - 7. Let h(v) = 2*v - 1 + 3 - 3 + 4*v**o - 2. Let a be -2*3\/18*-3. Let x(m) = m**2 + m - 1. Calculate a*h(b) - 3*x(b).\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (222\/(-8))\/((-27)\/72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b4 + -237?\nAnswer: -aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c**10)\/(c**9\/c*c*c\/c**(-2\/35)) assuming c is positive.\nAnswer: c**(-352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -19, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1892 = -4*t, 7*m + 5*t = 3*m + 1887. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 11*r - 18. Let y(b) = -2*b - 1. Let v(n) = -h(n) + 2*y(n). Let v(q) = 0. Calculate q.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -79, -137, -249, -433, -707, -1089, -1597?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9)\/((-180)\/8))\/((-20)\/(-8748850)*11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/(-57))\/(2\/(-24)). Let k = 5 + f. Solve n + k = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 111*u**2 - 5233*u + 609. What is z(47)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 492.\nAnswer: 35\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 306960522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9055 divided by -5849.\nAnswer: 9055\/5849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 3*l - 88 = -104, 3*t - 4*l = 8*t + 50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.027 (c) 7.42 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4457146814?\nAnswer: 2, 2228573407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 0, -2*h - 4*x - 54 = -5*h - h - 46 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10 - (-4 - -14)) + (-3 - (-1 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4915700 divided by -4915700?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*g + 100*g = 16769685. What is the remainder when g is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 7 + -5 + -2 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1222*q + 17 + 16 + 25 - 58 to the form r + w*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 151*w**2 + 442*w - 359. Determine q(-148).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1839*c + 1707*c - 5 to the form n + o*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1989290124\nAnswer: -1989290125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 + 3 = 3*v, -5*v = 0. Let q = 9 - 5. Let x = f + q. Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-4))\/(15*14\/1260)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8931 - 4666. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5170995 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 2*h + 3*h)*(h - 2*h + 4*h)*(58 - 58 + 43*h**2) to the form b*h + x + k*h**4 + q*h**2 + s*h**3 and give k.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 24 - 14 = 0. Suppose -6*x + x = -i. Which is the closest to -1\/3? (a) -6\/11 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a week in minutes?\nAnswer: 79380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*x + 192*x + 86*x - 161*x + 14*x**3 + 34*x.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -462, 0.41, 1\/5, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10111001000 (base 2) to base 4\nAnswer: -113020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*q - 5*q + 2*q)*(-1 - 2 + 1) - 5*q + 12*q + 18*q - 893 - 301*q + 893)*(-q + 2 - 2) in the form t*q**2 + v*q + b and give t.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + 6. Let s = 150 - 131. Calculate the remainder when n is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -34 + 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14493187 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:06 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.0777, 17.\nAnswer: 0.0777, 2\/5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 59. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 395 + 1979. Suppose z = 2*o + 2*i, -721 = -5*o - i + 289. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -9. Let d = 6 - q. Let t(v) = v - 4. Calculate t(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 20. Which is the third biggest value? (a) s (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*j - 0 + 20, -3*y + 5*j = -9. Let m(s) = -s**2 + 5*s + 2. Let c be m(5). Let x(o) = 0 + 2 + c*o + 4*o + 1. Calculate x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 64*s**2 - 91*s - 1701. Calculate g(-65).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w*(w\/(w\/w**(-6\/13)))\/w)*w)*w*w\/(w\/w**2))**(-30\/7) assuming w is positive.\nAnswer: w**(-600\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:41 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6951\/68 + 2370163\/24072. Let d = c - -65\/118. What is the common denominator of -17\/22 and d?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15639, -15906, -16343, -16944, -17703, -18614, -19671?\n\"Answer: t**3 - 91*t**2 - t - 15548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 16*p = 1030. What is the remainder when p is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 7*c + 12617 = 9*c. Calculate the least common multiple of 407 and c.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (107 + -1)\/(7*(-3)\/(-21))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 7, -451?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.6, -4, 6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**44 assuming k is positive.\nAnswer: k**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51844475.\nAnswer: 5, 17, 199, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 13 - 305. Calculate the remainder when 61 - (4\/(-1) + (-22 - -28)) is divided by o\/10 + (-6)\/(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/4043 - 15209\/7524023. Which is smaller: 12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58185671 divided by -4\nAnswer: 58185671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -4 - 4 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193382 and 14.\nAnswer: 193382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**15*h*h**(-1\/5)*h)\/(h\/(h\/h**(-3)))**(-1\/11))**(1\/42) assuming h is positive.\nAnswer: h**(303\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Suppose -3 + a = i. Let o(g) be the first derivative of -4*g**3\/3 + g**2\/2 - g + 2. What is o(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -85. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 30. Let i be 4\/(1 + 1) - -10. Does 9 divide (-2 - v\/i)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5999429.\nAnswer: 71, 84499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 86 = -4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 10*t**3 - 10*t**3)*(6*t + t + t) + 1 - t**5 - 1.\nAnswer: -33*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9*35\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/27)\/((-165)\/1386)*6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28731 rounded to two dps?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.504 - 25.504. Put 2.86, 0.2, k, -3 in decreasing order.\nAnswer: 2.86, 0.2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23212034?\nAnswer: 2, 19, 610843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -127, 3314.\nAnswer: -127, -2, 3314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3778581 times 0.3\nAnswer: -1133574.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Let d be 26\/3*9\/k. List the prime factors of (d - (3 + -5)) + 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26067256 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4292 - -4330 - (0 - -47).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 462955*i**4 + 1349200.\nAnswer: 1851820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 45 - 203. Suppose h + 64 = 3*h + k, 4*h + k = i. Let j = h + -24. Solve 5*y = 2*y + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49247 - 49172 = -5*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 30*n - 41*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94476, -188951, -283426, -377901, -472376, -566851?\nAnswer: -661326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -3*(-8)\/(-6)) + -16. Let k be (l\/(-20))\/((-5)\/(-20)). Sort -1, k, -4, -2 in ascending order.\nAnswer: -4, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = y + 32 + 12, 3*v + 51 = -y. Let g(n) = -n - 1. Let i(z) = -2*z**2 + 16*z + 16. Give y*g(u) - 3*i(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823767 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 + 7*h + 8. Let o be y(-6). Factor -4\/3*m**o + 4 + 8\/3*m.\nAnswer: -4*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/13*6*3\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2377203 less than or equal to -2377203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*l + 132*l + 7880 = -4*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 29*p + 1. Let t be d(29). What is the hundreds digit of 20*t*(69 + 3\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 99\/8 (b) -3\/4 (c) 22.8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -60*i - 136. What is c(3)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 62. Suppose 0 = -3*p - r*m + 3444, -828 = -p - 2*m + 320. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-13 - -1 - -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k**2 - 7*k**3 + k**3 - 25*k**2 - 4*k**4 + 2 + 11 to the form y*k**3 + a*k**2 + z*k + j*k**4 + f and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 14 (c) 1 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/12*j**4 + 3*j - 9\/2*j**2 - 4\/3*j**3 + 0. Determine s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (1\/(-2))\/(6\/(-28140)). Suppose -1276 = -3*q + b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*k = -4*p + 22, -k = -2*p + 8. Solve b - 7 = -p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1708*-25\nAnswer: 42700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5, t: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-2 + (-3)\/(-12)). Suppose 0 = 5*v - 4*i - 91, 0 = -4*v + 3*i - 14 + 87. Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(1458) - (sqrt(1458) - (0 + sqrt(1458))))**2*-3 + 0.\nAnswer: 21870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqzpqzqqppqp. Give prob of sequence zzp.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (107 + -85 + -80)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 15*f**2 + 27*f + 28. Is r(16) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -94. Suppose -f - 5 - u = -3*i, 0 = 3*i - 5*f - 42. What is the greatest common divisor of i and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.4 - -3.6. Let v = r - 24. Let m be (-108)\/(-36) - (-26)\/(-10). Which is the nearest to v? (a) 0.5 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 51. Let x(u) = -2 + 21*u**k + 2 + 26*u**2. Let n(j) = 3*j. Calculate x(n(z)).\nAnswer: 423*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/6)\/((-8)\/(-146376)). Let m = u + 128792. Round m to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.2491 tonnes in milligrams?\nAnswer: 180249100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 413 - 741*u**3 + 740*u**3 - 45 to the form b + t*u**2 + h*u**3 + d*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, m: 6, f: 3, r: 1}. Give prob of sequence qf.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -17*w**8\/84 + 41*w**5\/20 - w**2 + 19*w. What is the third derivative of f(z) wrt z?\nAnswer: -4080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**4*x\/((x*x\/(x*x\/(x*x**(1\/3)\/x)*x)*x)\/x))\/(x**1)**(-1\/16) assuming x is positive.\nAnswer: x**(-61\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5518.95 to the nearest 10.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 5*y = -20, -5*u - 3*y = -12. Suppose u = p + 3*p - 128. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s - 37. Let b(f) = -14*f - 50. Let t(n) = -7*b(n) + 9*r(n). Let k be (-1 - -1) + 0\/1. Give t(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754570.\nAnswer: 2, 5, 61, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + 182. Suppose f*s = -34*s + 36889. Is s a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, m: 2}. Give prob of picking 2 r and 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(-4)\/(((h\/(h\/h**(1\/9)))\/h*h)\/h**(-5)))\/(h**8\/h**(6\/11))**5 assuming h is positive.\nAnswer: h**(-4295\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j + 21*j - 95*j + 16*j + 22*j + j**3 + 19*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/(-36) + (8 - (0 - -6)) and (2\/(-10))\/(216\/30 + 4).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3734 rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from {h: 2, i: 2, w: 4, p: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 30.2050293.\nAnswer: -9.06150879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563339761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(2\/3))\/(4\/40). Suppose a = 28*i + 183. Let x(o) = -2*o**2 - 9*o - 7. Give x(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**4 + 11228*w**2 + w + 473502 wrt w.\nAnswer: 4*w**3 + 22456*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3031*j - 4631*j - 1674*j - 5464*j to v*j + a and give v.\nAnswer: -8738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*p - 25 = 0, 3*z - p - 6 + 11 = 0. Solve 3*m - 93 + 69 = 4*k, z = -3*m + k + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/12 + 10*v**4\/3 + 105*v**3\/2 + 723*v**2 - 2*v. Factor k(x).\nAnswer: 5*(x + 7)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 40. Let z = o + -18. Calculate the common denominator of -137\/12 and (0 + (-42)\/8)*z\/460.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 1 - 1 + (-4*j + j + 2*j)*(6 - 8 - 13))*(1 - 2 + 4 + (-3 + 0 + 1)*(-2 + 1 + 3)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 21. Differentiate 10 - 6*m**4 + 50*m**2 - 50*m**r with respect to m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*w - 50 = 0, -4*w + 10 = -k + 40. What is the remainder when 62 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7632*o - 1516*o - 1540*o - 1522*o - 1522*o - 1532*o + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a0520 (base 15) to base 4.\nAnswer: 130000123110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.4. Let b = -3981 + 3981.1. What is the second biggest value in -2\/3, b, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.235 - 0.235. Which is the biggest value? (a) -2 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 2*u + 9 + 3*u. Let z(n) = 2*n**2 - 10*n + 9. Let m be z(1). Let w(h) = 13*h - 6. Let k be w(m). What is v(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 829 - 827. Solve 0*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000111110101000000100 - -11?\nAnswer: 1001000111110101000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -655 + 655 - 34*z**4 + (0*z**3 + z**3 + 0*z**3)*(25*z - 50 + 50) to the form k*z**3 + a + s*z**4 + l*z**2 + n*z and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -1. Suppose n - 34 = -3*u + 6*n, 5 = -g*u - 4*n. Suppose 7*o = u*o + 20. Solve -6 - 19 = o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -47577ab4?\nAnswer: -47577ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than -132.698?\nAnswer: -134.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45028, 89346, 133664?\n\"Answer: 44318*f + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 3*m**4\/8 + m**3 - 3*m**2\/4 - 3*m + 3. Factor j(f).\nAnswer: 3*(f - 1)*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 4*f + 5*f. Let l(s) be the second derivative of 4*s**4\/3 + 2*s**2 - 51151*s. Calculate j(l(v)).\nAnswer: -48*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.41466019 - 1.\nAnswer: -25.41466019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/37, 0, -6 in descending order.\nAnswer: 6\/37, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**6 - 74205639*b**5 - 37577707*b**2 - 2*b.\nAnswer: 480*b**3 - 4452338340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from bfppdrbppd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*p**3 + 108*p**3 - 227*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 10*l**3 + 0*l**3 + (-3 - l**2 + 3)*(l + 0 + 0) + 9*l**3 - 91*l**3 - 71*l**3 in the form x + u*l + i*l**3 + w*l**2 and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*s - 154*s + 23130 = 304*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 3*h**2 + 0*h**2. Let u(w) = -20*w - 525. Let f(c) = -c - 28. Let d(n) = -75*f(n) + 4*u(n). Calculate j(d(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -655 (base 10) in base 8?\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.659 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 + 2*v**2 - 16*v - 43. Let a(n) = n**3 - 4*n - 11. Let d(o) = 11*a(o) - 3*c(o). Suppose -i - 21 = 3*l, 5*i - 2*i + 3*l = -33. Calculate d(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.89418 days in seconds?\nAnswer: 4742857.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*s + 153 = 62*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -2 + -1 + 0 + 5 + -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2694397659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from itcgzgrgcgiggcc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -49870647183 - -20\nAnswer: -49870647163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(3 + (-5 - -3)). Suppose -j + 2*p + 17 = 7*p, -3*p + w = -5*j. Which is the closest to 1\/4? (a) j (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840717.3 centuries in decades?\nAnswer: 8407173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**7\/2520 - b**5\/24 + b**4\/4 + 4*b. Let a(x) be the third derivative of q(x). What is the units digit of a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssnnssssnsssss. Give prob of picking 2 n and 2 s.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 3. Let z be k(6). Suppose -2*f - 2*d = d + 10, -f + z = -5*d. Suppose -14*l = -501 + 473. What is the smallest common multiple of l and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 16 = 3*g, -2*j + 4*g = 2*j - 32. What is the remainder when 13 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 (base 9) in base 6?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 9. Let g(l) be the second derivative of l**3\/6 + l**2 - 960*l. Determine -2*c(u) + 9*g(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - o**2 + 5*o**3 - 2*o - 2*o**3 - o**3 - o**3 in the form z + r*o**4 + f*o**2 + v*o + l*o**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2282 or 6?\nAnswer: -2282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 34*x - 67*x + 33*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6940\/384129*123)\/(5\/(-18))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.093 - 1.947. Let t = -2.2835 - p. Let v = 0.25 + t. What is v rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 30*v + 28. What is the third smallest value in -0.2, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4147899?\nAnswer: 3, 7, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m. Let c(r) = -7*r**2 + 4*r + 1. Let d(v) = 5*v**3 + 2*v**2 - 3*v + 1. Let y be d(1). Calculate y*b(i) - c(i).\nAnswer: 2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 274 and 10?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1970*q - 242294. Determine w(-123).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.279 (b) 2\/53 (c) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(6 - 19\/3). Solve a - v = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 983 - 983 + 1825*a**2.\nAnswer: a**3 + 1825*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + w + 26 = -3*w, -x + 3*w + 7 = 0. Let o(u) = 3 + 5*u + u**2 + 9 - 4 - 1. Give o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*z**2 - 11*z**5 + 0*z**2 + 5*z**5 wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2. Let c(q) = -11156491*q. What is n(c(p))?\nAnswer: 1120205622897729*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -2\/5, -2\/7, 2\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 749 - 755.2. Let k = -67.7 + 74. Let v = h + k. Which is smaller: v or 51?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l**2 - 5*l**2 + 3*l**2 + 15*l**2. Let p(j) = -4*j**2. What is f(p(q))?\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*z - 12\/7*z**2 + 3\/7*z**3 + 48\/7.\nAnswer: 3*(z - 4)*(z - 2)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -43. Suppose -5*b + 3*o = -0*b - 300, 120 = 2*b + x*o. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggegeeee. Give prob of sequence ge.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99, -105, -121, -153, -207, -289?\n\"Answer: -y**3 + y**2 - 2*y - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 3. Let h be s(6). Let q be (0\/2)\/(h - 5). Is -2\/9 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p**2 + 6*p**2. Let h(s) be the third derivative of s**5\/12 + 2*s**2 + 20. Give h(b(t)).\nAnswer: 180*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*k + 164 + 4*k - 180)*(0*k**4 + 2*k**4 - k**4).\nAnswer: 51*k**5 - 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1243991*a + 225. Let f be z(25). What is f rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/((s\/s**12)\/s)*s)*s)\/s*s**(4\/5))**(4\/7) assuming s is positive.\nAnswer: s**(-264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16826*o - 3108 = 17048*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55148, -110322, -165494, -220664, -275832?\n\"Answer: p**2 - 55177*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 34*y + 16. Is j(56) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = d, -5*d + 7 + 28 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 3*d + 7 + 6 - 13. Let w(c) be the second derivative of 0 + 0*c**2 + c - 1\/2*c**3. Determine x(w(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -371\/23 or -17?\nAnswer: -371\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.5757 rounded to 1 dp?\nAnswer: 419.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2*y - 5*y)*(-66*y - 6*y - 35*y) to the form q*y**2 + l + c*y and give q.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150924331017.4119896 + -150834346487.412. Let q = 89984496 - z. Let t = q + 34. Round t to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3097811616 and -0.2.\nAnswer: 3097811615.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-54))\/(((-3)\/108)\/((-9)\/(-9))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1325\/8 > -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36404621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25779, 25775, 25771, 25767, 25763?\n\"Answer: -4*m + 25783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:10 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857921590?\nAnswer: 2, 5, 31, 37, 74797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-93 - (-17 - (-4 - -14))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i = -40. Differentiate -42 - 11 - 19 + 9*c + c**3 + i with respect to c.\nAnswer: 3*c**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -30 in increasing order.\nAnswer: -30, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610864190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 19*a + 15. Let o be w(-13). Suppose 29*z + o = 15480. List the prime factors of z.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let n(y) = y. Let a(d) = -5*d. Suppose -2*j - 8 = 4. Let b(g) = j*n(g) - 2*a(g). Determine v(b(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:56 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + 10*x - 7. Let i be t(8). Let l be (-6 - (4 - i))*-25. Suppose -4*u + 31 = -l. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 13) to base 5.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 240383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -124d7 (base 16) in base 5?\nAnswer: -4344332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20476\/1911 - 1\/1911. Suppose 9*j = 3*j - 66. Let y = h + j. Is -1 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -k + 121. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -5*l**8\/336 + l**6\/12 - 5*l**4\/24 + l**2 - 6. Let p(a) be the second derivative of b(a). What is k in p(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g - 3678 = 63*g. Let n = g + -294. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 2)*(-3 - 9\/6). Let z be (-3)\/(-5)*150\/m. Suppose 2*f - 2*y = 32, -3*f + 49 = -z*y - 3. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9734963 nanograms?\nAnswer: 0.0000000009734963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u**2 + u + 31. Let z be v(9). Let g(d) = -z*d + 2197*d - 1101*d. What is g(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b - 14*b = 18*b - 196872. Calculate the smallest common multiple of b and 9.\nAnswer: 5679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 b when four letters picked without replacement from jbbjbjbbbbbbbbbbbb.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150396897 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - b**3 - 419*b**2 - 974892*b?\nAnswer: -24*b**2 - 6*b - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*n + 65027, 2*k + 4*n = 5*k - 48747. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5440253570.\nAnswer: 2, 5, 544025357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - 3*q**4 + 2*q**4)*(3*q + 0*q - 4*q) - 44*q**5 + 40*q**5 - 114*q**5 + (q**4 + q**2 - q**2)*(4*q - q - 4*q).\nAnswer: -116*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -2, 6\/19, -29.\nAnswer: -29, -2, -0.19, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 382 = 1256. Suppose i - 5*w + 16 = 0, -4*i + 4*w = -2 + 66. Let u = i + d. 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: What is y in -5*y**2 + 2710*y - 274725 = 0?\nAnswer: 135, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(3995\/188))\/((-88)\/(-6))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 958570180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(((f*f**(-3))\/f)\/f)))\/f)**(-1\/69))**7\/((f\/f**(5\/7)*f)\/f**(-2\/9))**(-32) assuming f is positive.\nAnswer: f**(70508\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 3*a**2 - 5*a - a**2 - 6*a - 6. Let f(i) = -6*i**2 - 33*i - 17. Let l(q) = 4*f(q) - 11*j(q). Let d be l(-5). Solve d*c - 25 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4987836, -9975663, -14963488, -19951311, -24939132, -29926951?\nAnswer: -34914768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from ggggvll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 34.8. Let y = v - 1.8. Let w = 3.8 + y. What is the third biggest value in 4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 619*n\/2 + 780.\nAnswer: -(n - 312)*(2*n + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.0725 milligrams in micrograms?\nAnswer: 154072.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3 + 8 = -2*u, 4*f = 3*u - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 26, 57, 122, 233, 402, 641?\n\"Answer: 2*i**3 - i**2 - 2*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/21)*k**(-8))\/(k**9*k*k**(2\/19)*k))**(2\/75) assuming k is positive.\nAnswer: k**(-3034\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 180935.66 and -0.5?\nAnswer: -90467.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157, -165, -173?\n\"Answer: -8*k - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 530 = -1510. Calculate the highest common factor of k and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/32 and -101\/400.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -12 + 2. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*x + 0 = 18, f + 8 = 3*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29716520 is divided by 2288?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 4*j - u + 30 = 0, 4*j + 4*u = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 451129662443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26088 divided by -2174\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44901 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**4 + 5*p**3 - 2*p + 5. Let h(j) = -2*j**4 + 6*j**3 - 2*j + 6. Let y(a) = 6*b(a) - 5*h(a). What is the second derivative of y(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 + -0.48. Suppose 2*w = 4*w. Suppose 5*z - 15 + 0 = w. What is the closest to -5\/2 in 0, z, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2 - (-7)\/14. Suppose -5*x = -o*h + 57 + 93, 0 = -5*x + 4*h - 140. Let q = x + 71. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c30 (base 15) in base 6?\nAnswer: 20413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose -l = 3*d - n, 2*d + 6 = 4*l - l. Let x be (1 + (-1 - 0))\/1. Are x and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169934582 by -2.\nAnswer: 84967291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448918, 897835, 1346752?\nAnswer: 1795669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -60*o**3 - 2*o**2 - 5. Let f(m) = 59*m**3 + 2*m**2 + 6. What is -7*c(d) - 6*f(d)?\nAnswer: 66*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 11. Let p = 8 - i. Is -1 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 take away -7232?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 69. Find the second derivative of 11*z**u + 115 + 64*z - 115 wrt z.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2409 + 2408.78. Which is the closest to -1\/2? (a) 2 (b) 5 (c) 4\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a**2 - 6*a - 237*a**2 + 6*a.\nAnswer: -208*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-22)*(-1178)\/57?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -359, -1445, -3261, -5807, -9083, -13089, -17825?\n\"Answer: -365*i**2 + 9*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/17 in 5, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 - 224 = 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 6*u**2 - u + 8. Let p(a) = a**2 - a + 6. Let z be p(0). Let m be k(z). Suppose m*f - 6 = -f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*b + 47 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 79 - 8) + (0 - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 + 0.35. Let q = 6.57 - r. Suppose -3*i - b + 2 = -0*i, 27 = -2*i + 5*b. What is the smallest value in i, 0.3, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6789784 and 4600.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (21 + (-33 - -19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*y + 2*x = -382*y + 18, -3*y = -6*x + 18. Determine o so that -1\/6*o**3 + 0 + 4\/3*o**2 - 1\/3*o**y + 2\/3*o = 0.\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 17*t + 19. Let u be (299\/69)\/(2\/150). Let h = 341 - u. Determine m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/10 + 267*i**2\/5 + 7182*i + 70756\/5 = 0. What is i?\nAnswer: -266, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184274 divided by 84591?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -20, -39, -58, -77, -96?\n\"Answer: -19*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 5*b - 5*b**3 - 4*b.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -13331959.8 to the nearest one thousand.\nAnswer: -13332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 - 15*o - 127. Give q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 1 (c) 1\/6 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2821 + -2793. Solve -g = -0*d + 7*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -5) + 7 + 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 8*t + 9*t + 15*t + 7*t - 47*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - y**2 + y - 1. Let a(k) = -22*k**3 + 90*k**2 + 8*k - 8. Calculate a(o) - 8*d(o).\nAnswer: -6*o**3 + 98*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-469)\/28*(-2 - 2). Let b = -10 + s. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 231, 303, 429, 627?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 1 + 101*b**2 + 23*b**3 - 6*b**3 + 4 - 2*b**3 - 13*b**3 in the form i*b + a + d*b**2 + y*b**3 and give d.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2304 - -2713. Calculate the remainder when y is divided by 54.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173964031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 2.4. Which is the closest to -1\/3? (a) 0 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -2*c - 32. Let i(s) = -113*s + 1. Let t be i(0). Put c, 2, t, 4 in decreasing order.\nAnswer: 4, 2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 + 19*v + 43. Let i be l(-8). Let z(o) = -o**2 + 17*o + 35. Give z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 5 (b) -4 (c) -1\/6 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 23825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.3 - 13. Let s be 2 + (2\/(-12) - 2). What is the second biggest value in s, r, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5020 - 4975. Solve -5*s - 32*l + 20 = -33*l, 5*s + 4*l = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -91. Suppose 2*f - 48 + 379 = l*t, t = -5*f + 77. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 14149 = 4*f, 0 = -4*f + 4. Let i = 1693 + j. Let k = i + 4539. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6) + 0)*-425558. Let k = -7018965 - m. Let f = k - -17806186. What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69668*o - 68721*o - 761 + 43376 = 0 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9972280 and 10452.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -266\/75493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24670 - 24666. Let w = -8 + 0. Sort -2\/3, w, s.\nAnswer: w, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60676 - -9?\nAnswer: -60667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2122950 and 89\/30?\nAnswer: 2122950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o = l - 3, 4*l = 2*o + 82. Calculate the lowest common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let z(y) = -3*y + 40 + y - 14. Let t be z(12). Let p(c) = -9*c**t - 3*c**2 + 3*c**2 + 6*c**2. Calculate d(p(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 4. Suppose -v = 4*j + 3. Is (-4)\/(j\/(-147))*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5940185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8 and 109\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*r**2 - 3*r + 101 wrt r?\nAnswer: 20*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003304 (base 5) to base 13.\nAnswer: -741b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (-1*sqrt(108) - sqrt(108)))*-3 - 6*-2*sqrt(108))\/(2*sqrt(441)*-4 + (6*sqrt(441)*-2 - sqrt(441))) + 0.\nAnswer: -2*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/18 - -3 - (-13)\/(-6). Sort 3, -4, j, -5.\nAnswer: -5, -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*y - 75, -2*y = -w - 3*y + 15. Let g = -11 + w. What is the second derivative of 12*s**3 - 12*s**3 - 4*s + s**g wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78354 - 18*u + 78354.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, -4, -1\/7, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-8)\/72*-1). Suppose -k*n = -8*n + 20. Suppose 3*v - 3*q = 2*q + 6, 10 = 5*v - n*q. Solve g + 2 = -v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -258038.294\nAnswer: 51607.6588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 4*n - 2*n + (n - 3*n + n)*(1 - 1 - 1) - 2 + 1105*n + 561*n + 2 to l*n + m and give l.\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 68.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/402222 and 17\/66.\nAnswer: 4424442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:41 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/13*n - 2\/13*n**2 - 50\/13.\nAnswer: -2*(n - 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -16*v + 25. Let d be (-6)\/(-4) + (-1)\/2. Solve -d = -v*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 11 - 6 + 12 - 19*d + 12*d**2. Let i be l(10). Solve i = 5*h - 6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 18991*f**2 - 3*f - 18992*f**2 + 26 + 32. What is s(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 64. Let o = -14 + i. Suppose 5*z = 2*u - 103, -o*u + 79 = 7*z - 4*z. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 - -282949443750?\nAnswer: 282949445084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:40 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1785*u = -33768 + 183708 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 569407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c. Let z(q) be the first derivative of 0*q**2 - 4 - 1\/3*q**3 + 0*q. Give z(x(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 - 6*r - 2. Let f be c(3). Let g(j) = -3*j - 15. Let v be g(-5). Let k = v + f. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, v: 9, s: 3, x: 2}. Give prob of picking 1 s and 1 h.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -30.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, -14, 57 in increasing order.\nAnswer: -14, -2, 2\/7, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22000.4 - -22000. Which is the biggest value? (a) 10 (b) 406 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, q: 4, l: 3}. Give prob of picking 1 q, 1 t, and 2 l.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6777739 - 23.5911.\nAnswer: -6777762.5911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-49)*2*(-1)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1409510390 by -5.\nAnswer: -281902078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 45*o + 56. What are the prime factors of z(7)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x**2 - 3*x)*(2*x**3 - 5*x**3 + 5*x**3) + (x - x - 7*x**3)*(0 - 4 + 2)*(-5 + 5 + 3*x**2).\nAnswer: 38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/2 - 17*c**3\/6 + 4*c**2. Let f be p(13). Sort -3, 2, f in descending order.\nAnswer: 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/4))*r)\/(r**(9\/7)*r))**26 assuming r is positive.\nAnswer: r**(-559\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 24 - 30. Let u(c) = c**q + 4*c + 4 + 0*c**2 - c**2 - c**3. Let g(k) = -k**3 + 5*k + 5. Let d = -9 - -5. What is d*g(y) + 5*u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (2 - -12) + (8 - 9 - 0).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 3*t + 20 = 0, 0 = -4*o + t + 6836. List the prime factors of o.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -975363931*a**2 - 720247165*a?\nAnswer: -1950727862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -136, -115, -86?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143005 is divided by 1357.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581543166 a multiple of 2527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - 11 - v + v**2 + 19 - 5*v**3. Let w be (3\/1)\/(-1) - -3. Give x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (3 - 3) + (-39 + 24 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((13 + -13)\/8)\/2. Solve 3*x + u - 8 = c, -2*x + 4 = -x + u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 800607 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244311303 (base 5) in base 13?\nAnswer: 31ac12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by -24.\nAnswer: 251\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -1 - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in 2\/3, -0.1, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1926394835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*j - 4*j + 2, -2*j = -5*f + 6. Suppose 0*p = 4*p - 228. What is the remainder when p is divided by 2*((-10)\/(-4))\/(f\/8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2571.19176?\nAnswer: 2571.19176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -79181 and -3275.83434?\nAnswer: 75905.16566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 4. Let o be g(5). Suppose -4*t + 13 = q, -o = 4*t - 4*q + 6. Suppose t*w = -3*w + 185. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69977 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 1. Suppose 2*h - 5*k = 8, 1 - 21 = -5*h - k. Give p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681567292 to the power of 1\/2, to the nearest integer?\nAnswer: 51784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 210.8. Which is the fourth biggest value? (a) r (b) 4 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 1\/22 (c) 0 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - s + 1 = -a, 5*a = -2*s + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 39. Let x = u - 34. Let i = -5 + 17. Calculate the remainder when x is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -0.007 (b) -3\/28 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 3\/5, 6\/113, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0075 times -1.2\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -183825408 divided by 1\nAnswer: -183825408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f - 4. Let l be (1 + (-20)\/16)\/(3\/(-24)). Let w be x(l). Differentiate w*d**3 + 3*d**3 + 2*d**3 + 8 with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1188 - 6?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o - 12. Suppose 3*y + 70 = o*g, -3*g + 5*y - y + 49 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araaaaarararraaaar. Give prob of picking 2 r.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/15)\/((-60)\/(-36))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 257.058252 seconds?\nAnswer: 0.00297521125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23225327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -174*q**3 + 397*q - 27*q**5 + 603*q**4 - 4 - 272*q + 4 - 540*q**2 + 139*q = 0.\nAnswer: -1, 0, 2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*v + 44*v - 38*v + 69 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10370, 2, 465, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -6. Let m = 0.039 + -0.039. Let q = -2 - -1.5. What is the closest to m in -0.3, q, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 + -15.4. Let p = v - -18.8. Let y be (-2)\/(-8) - 2\/(-8). Is y < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -35*q**4\/24 + 2*q**2. Let c(m) be the second derivative of m**3\/6 + 2*m + 425. Calculate c(g(u)).\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4*t - 161. Let x be s(-11). Solve -3*c + 4 = -4*w - x, w = 2*c + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + (-10 + 16 - 10) - 4 - 10\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 - 0. Let i(p) = 300000*p**2 - p - 1. Let q be i(k). What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r + 3*r + 6 + 3*r - r wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 1. Let j(m) = 17*m - 3. Let c(x) = j(x) + 3*s(x). Let q(t) = 117*t**2. Determine c(q(b)).\nAnswer: -117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 843*d + 11*d**3 - 1715*d + 13 + d**2 + 872*d to the form h + n*d**2 + t*d + b*d**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -586.6940827 to 1 decimal place.\nAnswer: -586.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2206 + 5?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27592, -27545, -27498, -27451, -27404, -27357?\nAnswer: -27310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -8. Let j = 910 + -958. What is the tens digit of (j\/(-15))\/(x\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - b. Let a(q) = -q**3. Suppose 3*w + 46 = -4*u, 3*w = 49*u - 52*u - 39. Calculate w*a(i) + j(i).\nAnswer: 8*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m - 6. Let g(d) be the third derivative of d**4\/2 - 5*d**3\/6 - 6*d**2 - d. What is 5*a(n) - 6*g(n)?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - v - 3, -k - v + 0 = -1. Suppose -k*r + 27 = 2*r - 3*m, 25 = -5*m. What is the second derivative of 10 - r*q - 5 + 6*q**3 - 5 wrt q?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (368\/(-2))\/(4\/(-4)). Suppose w + j = -3*w. Find the common denominator of w and -99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 843522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let a = -320 + 315. Let u = 0.7 + -4.7. What is the closest to u in a, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 20 - 5*x**3)*(-5*x + x + 3*x) to the form d + a*x**2 + c*x**4 + i*x + l*x**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.2. Let g = 2 + z. Let i = -32 + 30. Which is the third biggest value? (a) i (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67210489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 507078158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6598295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:18 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -5*z**8\/84 + z**7\/2 + 19*z**6\/24 - z**5\/2 + 62*z**2 - z. Suppose i(f) = 0. What is f?\nAnswer: -1, 0, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*c + 157087, -125*c = -124*c - 2. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 39. Suppose -k + 1 = -m, m + 3*k = -3*m + o. Suppose m = -a + 2*a - 22. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120029\/(-3640) + 33)\/(1\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -10.84.\nAnswer: -0.8672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**11\/36960 - d**10\/25200 + 11*d**5\/20 + d**3\/6 + 120*d**2. Let t(o) be the third derivative of y(o). Factor t(q).\nAnswer: -3*q**4*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 941, -2\/35, -19?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 8*g + 1. Let c = -48 + 49. Calculate the remainder when 42 is divided by u(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*p**3 + h*p**2 - 3*h*p - 6865*h + 30*p**3 + 3*p**2 wrt p?\nAnswer: -12*h*p + 2*h + 180*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkab when four letters picked without replacement from {b: 4, l: 7, j: 1, e: 1, a: 1, k: 5}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -2*q**3 + 9*q**2\/2 + 6*q. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*t**3 - 30*t**3 + 4*t**4 + 11 wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.97? (a) 1\/5 (b) 7 (c) 6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22647, -22665, -22683, -22701, -22719, -22737?\n\"Answer: -18*f - 22629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 13. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 6390*x**2 + 217525*x.\nAnswer: 5*x*(x - 1243)*(x - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4828)\/(-2516) - (12\/54)\/(4\/36).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 2 + -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let m(h) = -1 + 3*h + 0*h - 2*h - 2*h. Let j = 7 - 11. Let o(q) = -3*q - 4. Let f(n) = j*m(n) + o(n). Calculate i(f(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -18*k**5 - 544*k**4 - 3054*k**3 + 12200*k**2 - 6504*k - 2080 = 0.\nAnswer: -20, -13, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2630346 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 4*b - 5*b)*(6 + 4 + 8) + 4*b - 4*b - b)*(2*b + 4 - 3 + 1).\nAnswer: -38*b**2 - 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 74 = -3*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**15*l**(-1\/4)*l**(-2\/15) assuming l is positive.\nAnswer: l**(877\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - 39*j + 19*j + 20*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 - -304. Let r = q - 270. What is the highest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 580 - 883. Let q = 686 + b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, f: 4, e: 4, c: 4, j: 3, q: 1}. Give prob of picking 2 e and 2 c.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -14 + (-5 - -15) - -6 - -18 - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5221895 by 5.\nAnswer: -1044379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/5929 and 57\/634403.\nAnswer: 634403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.12 + -22.5. Round q to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43467?\nAnswer: 3, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 163, 359, 633, 985?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 748 (b) -15 (c) -0.5 (d) 5 (e) 3 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 151. Factor 0 + s**2 - 1\/2*s**l - 1\/2*s.\nAnswer: -s*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (3\/((-9)\/(-6)) - 3). Let g(t) = -425*t - 6. Let y be g(o). Let j = 368 + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.115674142 and 108769?\nAnswer: 108769.115674142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/1820 + (-13)\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -16\/7 (b) -0.3 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -702, -774, -846, -918?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.535416 rounded to one decimal place?\nAnswer: -46.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 1327541742.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z - 2 = 0, 3*r - 3*z = 0. Let p be ((-2)\/(r*-4))\/((-12)\/264). Let u = p - -11. Solve 2*j = -u*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03065841051 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h - 155. What is x(10)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:22 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 200*v - 205*v + 56078, 4*x - 74748 = -v. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2395666, 4791328, 7186990?\nAnswer: 9582652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 1 + 0 - 10*h. Let j be p(-1). Let d(m) = -m**2 + 7*m + 3. Determine d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + 8*a**2 + 20*a**3 - 3*a**4 - 6*a**2 + 2*a**4 in the form r*a + s*a**4 + v*a**2 + n*a**3 + d and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10249496609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 19*v - 10. Let n be w(9). Let x = -21 + 37. Calculate the greatest common divisor of n and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30096 and 3529152.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6366586 - -3350586. What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/9 - 14534*w**3 + 1962494*w**2\/9 - 1003102*w\/3 - 566956 = 0.\nAnswer: -65418, -1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -r + 6*n + 1, r - 18*n + 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a - 7*a + 3*a**4)*(1 + 5 - 5 + 0 + 2 - 3 + (3 - 5 + 4)*(-1 + 1 + 2) + 1 + 2 - 5) to the form o*a**4 + q + d*a**3 + l*a + z*a**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(9)*-1 + sqrt(9) + (-1*sqrt(72))\/sqrt(8))\/(-4*2*sqrt(108)).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -97270835702 + -87\nAnswer: -97270835789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:13 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 26 - (-4 - (0 + 3 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -230.8. Put 0.2, -3\/5, n in increasing order.\nAnswer: -3\/5, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.3494 nanograms to grams.\nAnswer: 0.0000008993494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + 242\/(-33) + -3. What is the second biggest value in k, 2\/7, -1, 84?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f63f (base 16) to base 3.\nAnswer: 10012110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-48))\/((-136)\/612)*56\/70.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 4665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 704*g**5\/9 + 1280*g**4\/3 - 2596*g**3\/9 - 5830*g**2\/3 + 17300*g\/9 - 250\/3 = 0.\nAnswer: -5, -3, 1\/22, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6166*b**2 - 2986*b**2 - 3181*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*3*4\/(-96).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/151496 and 91\/90?\nAnswer: 6817320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 + 4. Let k be m(6). Suppose 0 = k*i - 1 - 15. Let x = -3 + i. Sort -1, x, 3 in decreasing order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 331830*l. Let j(x) = 42*x**2. Calculate j(s(t)).\nAnswer: 4624668253800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/22 + 26768\/88. What is the units digit of z\/7 + (-28)\/(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3001? (a) -0.3 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*o**4 + 3328*o**3 - 8230*o**2 - 300*o = 0. Calculate o.\nAnswer: -6\/167, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*m**5*r**2 + 825*m**2*r**3 + 413*m*r**3 + 11*m*r**2 + 2*m*r - 43*m + 2*r**2 wrt m?\nAnswer: 4140*m**3*r**2 + 1650*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g - 776. Let j be d(41). Solve 5 = -5*v, v = j*y - 2*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.809 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.107 + 15.993. Let n = 21 - 11. Let a = o - n. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/93747472 and -145\/348936.\nAnswer: 281242416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24247674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 - (-3)\/6. Suppose 24*r - 64 = 8*r. Let b(d) = -d - 1. Let c(m) = 1. Determine r*c(u) + x*b(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 108*m - 112*m + 215, 0 = -3*m + 6. What is the remainder when 374 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -28, 2\/13, 2, 1014 in ascending order.\nAnswer: -28, 2\/13, 2\/9, 2, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/15)\/(4\/(-18)). Let f be 14 - ((-4 - -1) + p). Let o be (-3)\/(-24)*f + -2. Is o > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 3*z)*(0 + 2 - 4) + (4*z + 4*z - 7*z)*(-71 - 32 - 474) + (0 + 3 - 2)*(2*z + z - 5*z).\nAnswer: -581*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2051, -4066, -6075, -8078, -10075?\n\"Answer: 3*m**2 - 2024*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from bbbzmzbzbbbbzzbbz?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376091973?\nAnswer: 101, 109, 239, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 5*a + 11, -2*k - a - 2 + 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -29.84. Let u = v + 0.84. Let t = 0.37 + -4.37. Which is the closest to -1? (a) t (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/5*(1 - 6). What is the units digit of -2 - (-6 + z + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-16)\/84)\/(30\/45).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 23. Suppose 5*o - 3*x + 4*x + 570 = 0, 0 = 5*o - s*x + 540. Round o to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134, 117, 88, 41, -30?\n\"Answer: -d**3 - 10*d + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hegh when four letters picked without replacement from {j: 1, g: 1, e: 1, h: 5, v: 6}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 62*t**2 - 2412*t - 52. Determine d(39).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11037509 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2)*2.\nAnswer: 4 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 - -21 - (-19382 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000705 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v - 50 + 2. Let l be ((-2)\/12)\/(v + 536\/132). Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*o. Let p = 1 - o. Is 100\/(-15)*(0 + p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48277842*f + 48277842*f + 28*f**3.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 0 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*j + 2*n = -118*j + 1223, -j - 4*n + 391 = 0. Calculate the least common multiple of 24 and j.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**(4\/7)\/((f\/f**(-3\/4))\/f**(-2\/9)))**(-4\/5) assuming f is positive.\nAnswer: f**(2197\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3 = -3. Suppose g = -2*j + 9 + 7. Suppose -5*o = -s + 2*s - 40, j = o + s. What is the lowest common multiple of o and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 961 + -965. Let j(k) = 5*k + 2. Let v(f) = -f - 1. Determine p*v(i) - j(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13623540 rounded to the nearest ten thousand?\nAnswer: -13620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from axaaiaaiaaaxiaxaaa.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2140 - -1085. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:45 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -299 - 4918?\nAnswer: -5217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4130943, 4130942, 4130941, 4130940, 4130939, 4130938?\n\"Answer: -u + 4130944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91039824.\nAnswer: 2, 3, 632221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 41*v + 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15673*j**4*w**2 + 2*j**2*w**2 - 30314*w**2 with respect to j.\nAnswer: 62692*j**3*w**2 + 4*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**2*m*u**3 - 407*h**2*u**2 + 51496*h*m*u**3 + 2*h*u**3 - 12 wrt m.\nAnswer: -3*h**2*u**3 + 51496*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7399*m**3 - 2375*m**2 - 29173*m**3 + 2375*m**2.\nAnswer: -36572*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*y**3 + 0 + 957*y**3 + 0 - 433*y**3.\nAnswer: 47*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118489944.\nAnswer: 2, 3, 1093, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - ((sqrt(102) - -2*sqrt(102))\/sqrt(6) - sqrt(17)))*-5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-40))\/7*(-14)\/126*6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190\/3 + 64. Which is the nearest to 1? (a) w (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -1.7?\nAnswer: 161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.0314.\nAnswer: 0.2198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4 (c) 0 (d) -1\/4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.09 - -0.996. Let u = 0.02 + i. What is u rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 64. Let o be (-3)\/(-9)*18\/d. Suppose 4*n - 2*p = 138, 105 = o*n - 0*p - p. Is 34 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031933 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.48 and -33369830715.\nAnswer: -33369830716.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 137*b - 363 - 596 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 1974?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 9)*(10 - 2*a**2 - 10)*(-5*a**2 + 5*a**2 + 10*a**2) as g + o*a**3 + j*a**4 + m*a**2 + k*a and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 208 + -207. What is the second biggest value in 3\/4, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 8:46 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.839 plus -0.05?\nAnswer: 12.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1466 + 6505. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and -53\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + ((-63)\/42)\/(((-7)\/30)\/7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57995970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -25, -4, 1 in descending order.\nAnswer: 5, 3, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18065807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w - w)*(2*w + 2*w - 3*w + (2*w - 3*w + 3*w)*(4 + 1 - 4) + 2*w + 3 - 3 - 6*w + w + 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 353 - 353. Let a be 4\/15 - (j + 12\/18). What is the third biggest value in 2\/9, a, -28\/9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59561 < 59560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5710968 and -101\/7931900.\nAnswer: 142774200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(425)*-1)**2.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-40 - 40) - -48?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002284763 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619246 is divided by 532.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9279, -9276, -9273, -9270?\n\"Answer: 3*z - 9282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*r = 24, 0*r + r + 5 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107802080*z + 50618390 with respect to z.\nAnswer: 107802080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - -4 - (-3 - 0\/(-3)). Suppose 2*l = 7*l - 3*x + 35, -t*l = x + 3. Let u = 25 + l. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let x(d) = -4127*d**2. Give z(x(a)).\nAnswer: 34064258*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 6155255.\nAnswer: -6155254.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22689 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 26*g + 18. Let r be i(24). Suppose -a = 3*u - r, 2*u = 2*a + 23 - 131. Calculate the smallest common multiple of 95 and a.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/(6\/(-576)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8 - 7\/56*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 9 = 13*w. Calculate the highest common factor of 27 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Let o = -856\/9 - -95. Is o at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {b: 1, f: 2, o: 1, g: 1, l: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 3*l - 2*k + 12 = -7, -k - c = l. Sort 4, l, -4 in decreasing order.\nAnswer: 4, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -481 + 483. Solve u*o + 2 = 5*h - 2, 4*h = 4*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50\/5)\/(0 - -2). Suppose -w*z + 21 = 2*k, -2*k + 9 = -0*z + z. Suppose z*h - 140458 = -422458. Round h to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/16 - (-417)\/8. Suppose 4 = 4*u - f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/11 + 57\/(-11). Let a be -3*(l + 4)*1. Suppose 0 = -2*g - a*g + 280. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5684 - 5673. Solve 5*n - r + 5*r + 37 = 0, -2*r = n + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-4 + 3)*1. Let r be ((-30)\/25)\/(n\/5). What is the second derivative of -4*b - 143*b**r + 143*b**3 - 3*b + 9*b**4 wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/3)\/((-6)\/(-9)))\/(300\/4500).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3674805?\nAnswer: 3, 5, 17, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(4)\/sqrt(2))*-5 + 2.\nAnswer: -5*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*h**2 - 92\/15*h - 82\/3.\nAnswer: -2*(h + 5)*(h + 41)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 + -0.1. Let b = g - -3.992. Let p = 0 + b. Round p to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4896606 is divided by 227?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - o**2\/2 - o - 31. Let p be l(3). Suppose 10 = p*j - 15. Solve 0*v - j = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -724\/727?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1759*f**2 - 191*f + 4. Let h(k) = 3511*k**2 - 382*k + 9. Let s(j) = -9*a(j) + 4*h(j). Find the second derivative of s(z) wrt z.\nAnswer: -3574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63991367 rounded to 3 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.598 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*z = 30, 4*o - z - 31 = 2*z. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(891) + -2 + -2 + (sqrt(891) - (sqrt(891) - (0 + sqrt(891) + 1))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 6\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203898113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 468 = -1698. Suppose 3*b = a - 230, 16*a + 5*b = 11*a + 1190. Suppose -4*y = 2*u - k, -3*y + 64 = -u - a. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 1 + -4 + (-34)\/15. Is k greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201*q**6 - 36*q**2 wrt q?\nAnswer: 24120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2202511\/11 - -200229. Determine q so that 2\/11*q**3 - 8\/11*q - 2\/11*q**2 + k = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -503*r - 6 + 6 - 734*r - 166*r as v + o*r and give o.\nAnswer: -1403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -172*b + 2071. Calculate m(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4316150 + -316?\nAnswer: 4315531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3 + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 1\/26*f**4 - 1\/13*f**2 + 0*f + 0*f**3 - 5. Factor m(t).\nAnswer: 2*t*(t - 1)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2*1\/22). Let a = j + 19. Suppose -5*k + a = 3. Calculate the greatest common divisor of k and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 21. Suppose 4*h - 95 = -5*g - 0*h, g - 28 = h. Calculate the remainder when g is divided by 21\/d*(-52)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629214.\nAnswer: 2, 3, 104869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 470 = -38*z - 3*y, -y - 235 = -z. Calculate the remainder when z is divided by 106.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose 2*f + 30*f - 128 = 0. Suppose -3*w - j = -90, w - 3*j = -0*w + 30. Solve -3*v + f = d*i - 5*v, -3*i - 5*v + w = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w - w)*(-3*w + 2*w + 3*w) + 2*w**2 + 0*w + 0*w + 19 + w**2 - 18 + 7*w**2.\nAnswer: 6*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -8\/13903, -2\/7?\nAnswer: -8\/13903","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - -8) + (31 - 26) + 73.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -314649, -629247, -943845, -1258443, -1573041?\n\"Answer: -314598*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23346 + 3312 = -4*f - 2*z, -2 = 2*z. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*x + 4*u = 652*x - 36, 3*x - 3*u = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -168. Are c and -158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12771 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*c + 57237 = 233984, 2*q + 5*c - 353524 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*r - 1217*r = 5*q - 27, -r = -2*q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 24 = j. Let q be -3*2\/j*7. Suppose -q = -t + y, t - 1 = -2*y - 0. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/5)*i*i*i)\/i)\/(i**(-10\/7)*i) assuming i is positive.\nAnswer: i**(127\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3343*d = 3342*d - 4*g - 17, 3*g + 34 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/24 + g**3\/3 + 4*g**2. Let s(k) = 5*k**2 - k. Let l be s(1). Calculate the remainder when 9 is divided by t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 170586694*p - 170586696.\nAnswer: 2*(p - 85293348)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by 4\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -483, 2, 78.\nAnswer: -483, -5, 2, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19345693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**3 + 33*k**2 + 9*k. Let c(t) = 3*t**3 - 8*t**2 - 2*t. Suppose -2*z + 12*m + 23 = 11*m, 3*m - 21 = -4*z. Give z*c(d) + 2*b(d).\nAnswer: 3*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 594488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628585429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 + a**3 + 3*a**3)*(3 - 7 + 3 - 411 + 2202 - 503 + 1413 + (2 - 2 + 2)*(-4 - 1 + 4)) in the form n*a**3 + o + t*a**2 + b*a and give n.\nAnswer: 5396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-24)*71\/((-11431)\/138)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc35 (base 14) to base 10.\nAnswer: -35327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9 - (38 - (54 - 50))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l**2 + 14372*l + 116193. Determine g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5286, 10542, 15764, 20940, 26058?\n\"Answer: -2*l**3 - 5*l**2 + 5285*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + sqrt(192) + sqrt(192) + 3 + 4 + sqrt(1200)*3)**2.\nAnswer: 1176*sqrt(3) + 21217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -697 - -700. Let s(x) = 57*x - 3. Let q be s(3). Let t be 10\/15 - 106\/q. Sort n, t, -4 in increasing order.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -248. Let m = j + -26. Which is smaller: m or 29?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:18 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let k(a) = -a**2 - 8. Calculate b(k(w)).\nAnswer: 2*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*l - l = -16, 0 = 2*r + 3*l - 5. Suppose r*b - 6 - 6 = 0. Suppose 5*v - 17 = b*x + 106, 0 = -5*v - 5*x + 115. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = -1. Let i = 6 + x. Let f be i\/(-10)*(-8)\/1. Solve -4*t + 2*t + 3*d + 10 = 0, 0 = -4*t - 2*d + f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 15*y**2 + 3*y - 9. Let a be m(-14). Suppose 6*k - 11*k + a = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8632 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354455 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 254681215 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86430 and 426990?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 8*a = 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - 587*i**2 - 78*i - 509. Calculate k(84).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44017, -100818, -157615, -214408?\n\"Answer: 2*o**2 - 56807*o + 12788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(4 - 0) - 2. Let k be (0 - w) + 8 + 6\/(-3). Suppose 4*c - 145 = -k*v - v, -9 = 3*v. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 71*v - 167 - 354. Solve -2*a + v = -3*b, 5*a = 12 - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112896 and 108?\nAnswer: 338688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 98*d**2 - 122 + 61.\nAnswer: 98*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128815079 to the nearest integer?\nAnswer: 11350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -795, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 + 37*l**2 + 54*l - 5. Let v(h) = -10*h**3 - 108*h**2 - 162*h + 16. Let a(x) = 16*n(x) + 5*v(x). Factor a(d).\nAnswer: -2*d*(d - 27)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 2021 + 5885. Suppose 21*l - 1813 = d. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192230 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3\/4, -2\/3, -204, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2286*m + 7. Let t(u) = u. Give i(t(n)).\nAnswer: 2286*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -1756*b + 1744*b. Suppose -85 = 8*y - 3*y. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 14*x - 18*x + 16*x - 4.\nAnswer: -23*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 - 2*h**2 + 2*h + 4. Let c be r(-2). What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/5)\/(((c*c\/(c**(3\/7)\/c))\/c)\/c*c*c))**(16\/9)*(c*c**(-1)*c**(-3\/7)*c)\/(c**(1\/4))**7 assuming c is positive.\nAnswer: c**(-473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2 - 2 + (0 + 0 - 2*a)*(2*a - 2 + 2) - 134*a**2 + 49*a**2 - 252*a**2)*(0*a**2 - 10*a**2 - a**2).\nAnswer: 3762*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcfcfafffcffccfccff. Give prob of sequence fff.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 3 - 2 = -24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1023 - -1177) + (4 - 82)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156773916 divided by 6.\nAnswer: -26128986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.354 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/(1\/(-42)*1). Let k = 25 - p. Which is the nearest to 0? (a) -5 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54164.86433 - 54166. What is v rounded to two decimal places?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:25 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c. Suppose -s + 13 + c = 0. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) + 16\/10. Let w be 1\/((-9)\/3 + f). Let v be 0 - (w - (2 + -3)). What is v rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r**5\/5 - 1436*r**4 + 241578*r**3\/5 - 2134088*r**2\/5 - 394016*r + 82560 = 0. What is r?\nAnswer: -1, 3\/17, 20, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5915630 (base 10) in base 8?\nAnswer: -26441756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5972*18\/6*(-28)\/24. Let h = -10251 + z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1880 - -1879.8. Let z be (-1014)\/(-24) + 2\/(-8). Let x = 127\/3 - z. Put g, -5, x in increasing order.\nAnswer: -5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 + -5.47. Let z = -0.25 + h. Let q(o) = o**3 + 5*o**2 + 5*o + 2. Let x be q(-4). What is the nearest to 2 in z, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24314, -48032, -71750, -95468, -119186, -142904?\nAnswer: -166622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*i - 576*i + b + 8 = 0, -2*i + 3*b - 4 = 0. Sort i, 47, 229 in descending order.\nAnswer: 229, 47, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/7 + 2784*j**2\/7 + 79482*j + 3724084 = 0. What is j?\nAnswer: -91, 1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -2312876?\nAnswer: 2312881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259365147 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 801247?\nAnswer: -801243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.926 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1956207215 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 13778, -5, -2 in decreasing order.\nAnswer: 13778, 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9353042.983 - -9357948. Let z = h + -4900. Let a = z + -5. Round a to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6570 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose -3 - 12 = -m*j. Is (j\/2)\/(1\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350 + 2*f**2 - 3*f**2 - 706 + 356 + 0*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172236*l + 7*l**3 - 3 - 19*l**3 + 3.\nAnswer: -12*l**3 - 172236*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2. Let r(j) = 75118509*j. Give p(r(c)).\nAnswer: 16928371183149243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57437 times 10?\nAnswer: 5.7437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126806, -255779, -384752, -513725?\nAnswer: -642698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -2\/13, -3 in decreasing order.\nAnswer: 58, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548267413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 477 or 77520\/163?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*(57*a - 8 - 68*a + 29*a) as i*a + b and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822295 is divided by 438?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121313230 (base 4) to base 5.\nAnswer: -43234413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32902 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*j = 157*j + 147 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*o, -2 - 2 = q - 3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 5:02 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 1321 = 6223. What is the third derivative of s*t**5 + 43*t**2 + t - 254*t**5 - 3*t - 6*t**4 wrt t?\nAnswer: 240*t**2 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11774 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 8*r + 10. Let d be z(7). Suppose -2*n - d*p = 2, 7 = -3*n + p - 7. Let b be n\/10 + 81\/15. Solve 5*u - 3*a = -0*a - 19, b*u = a - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(1\/3))*q)\/q*q*q**(-1\/23))**(-43))**(-1\/27) assuming q is positive.\nAnswer: q**(3827\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -16. Suppose 0 = 3*l - p - 95, 0*l + l = -4*p + m. Let z = 60 - l. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10173270 - -3772270. Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*p + p + 24, 0 = 2*p - 4. Factor 8*q + 0*q - q**2 - b*q.\nAnswer: -q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 28 - (4 - (-4 - -5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598*f - 5224*f + 2 - 2877*f - 3228*f.\nAnswer: -13927*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 106*m - 106. What is l(-4)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*w + 74*w + 68*w - 42 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b + 21*b - 42*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7840\/(-336)*-6*(-3)\/30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2383495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159162236?\nAnswer: 2, 109, 223, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q\/(q\/(((q*q**(-37)*q*q)\/q)\/q))*q**(-15) assuming q is positive.\nAnswer: q**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 30*o + 9. Calculate d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*l - 2*d, -5*l - 2*d = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932*u**3 - 314*u**3 + 1861*u**3.\nAnswer: 2479*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02865 - 0.51675. Let z = -0.55 - o. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/145)\/((6\/(-8))\/(5\/4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76 (b) 2\/9 (c) -3.33 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 462036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 4*b = -25*q - 12, -5*b + 8 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from {g: 3, m: 6, e: 4, n: 1, f: 4, w: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140690.883 - -140632. Let b = u + -0.117. Let g = b + 56.02. Round g to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 52*d**2 - 92*d + 44 = 0. What is d?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10*v - 4082 = 0. Is -314 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((((t**(1\/9)*t)\/t)\/t)\/t))\/(t\/(((t\/(t**1\/t))\/t*t)\/t)))\/(t*(t\/t**(-1))\/t)**7)\/((t**10\/t*t)\/t**(-1\/3))**(-5\/6) assuming t is positive.\nAnswer: t**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -236*p**5\/15 - p**4\/8 + 1319*p**3\/6 - 2*p**2 + 41*p + 1. What is the first derivative of j(r) wrt r?\nAnswer: -1888*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15598 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/17874 or 2\/5?\nAnswer: 13\/17874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100222111000010 + 110?\nAnswer: -1100222110222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = 0, 0 = 3*x + 635*l - 631*l + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -5\/3 in descending order.\nAnswer: -5\/3, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:23 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*5863\/(-66) - -8. Solve o*s + 32 = 533*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34845 and 21735.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*q - 194*q + 4. Let f(a) be the first derivative of 2*a**2 - 8\/3*a**3 + a**q + 0*a + 7. Factor f(j).\nAnswer: 4*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 28. Let l be z(8). Find the second derivative of -10*m**4 + 2*m - 3*m**l + 52*m**2 + 15*m**4 - 4*m**4 + 11 wrt m.\nAnswer: -24*m**2 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8 times 219.2?\nAnswer: 832.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-5)*(10 + -5). What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1597*i - 1594*i = 12. Solve -i = -n - 3*f, -n - 3*f = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14133, -53035, -117871, -208641, -325345, -467983?\n\"Answer: -12967*i**2 - i - 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 22. Let z(l) = 6*l - 5*l + p - 5. Let w(y) = -13*y. Give w(z(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 3*d**5 + d**5 + (-11*d**4 + 6*d**4 + 10*d**4)*(-19*d + 5*d - 15*d).\nAnswer: -146*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussbxeuebbsbssbb. What is prob of sequence ebu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65711*p - 65639*p + 131084*p.\nAnswer: -266*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -3 - -19) + 3 - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1342\/(-110) - -13) + (1 - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 66, 98, 200, 396, 710?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453303335 - -125?\nAnswer: 453303504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465 (base 11) to base 7.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 + 9.18. Let m = p - 12.5. Let u = -0.5 + m. What is the biggest value in -3, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176290368 a multiple of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogopoohpppo. Give prob of picking 3 p and 1 g.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30779.7658 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t - 26. Let f = t - -12. Calculate the remainder when 0\/f + 3 + 30 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/420 and -81\/2170.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + r + 1. Let w(t) = -7*t**2 - 5*t - 8. Let b(y) = -4*i(y) - w(y). What is b(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -33312?\nAnswer: 33220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.64 + 6.64. Put 2, 2\/3, -2, c in decreasing order.\nAnswer: c, 2, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 6*l**4 + 24*l**4 + 7*l**4 + 15*l**4 - l**2 to the form n*l**3 + o*l**4 + y*l + s + f*l**2 and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-127)\/2 - (-6 + 66\/12). Let o = v + 67. Which is the nearest to -0.1? (a) -1\/3 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41012102 (base 6) in base 8?\nAnswer: -4351446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(45)\/sqrt(5)) + 1 + 4 - (sqrt(39)\/sqrt(48) + 1)*-5)*-1 + -5.\nAnswer: -15 - 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18436.68188 + 18436. Round p to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2\/15*t**3 + 0*t - 2 + 1\/5*t**2. Determine d so that k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68145895 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - t**3\/6 + t**2 + 137*t. What is l(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 5*a + 0*a)*(-3*a**2 + 2*a**4 + 3*a**2) + a**5 - 7*a**5 + 5*a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285029607307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 737 + 736 - 9*c**2 + (0*c**2 - 4*c**2 + 2*c**2)*(1 + 3 - 6).\nAnswer: -6*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*z - 42. Let v = z + 13. Suppose u = -5*t + v, 3*u - 4*u = 2*t. Solve 5*j - 25 = 0, t*s + 3*s = 3*j - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73305 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + -340. Let a = w - -177.8. Is a >= 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2299) + 0 + -5 - (sqrt(2299) + sqrt(2299) + sqrt(2299)*-2*4) - (sqrt(2299) - 6*(sqrt(2299) + -1 - sqrt(2299)))*3)*-4*-3)**2.\nAnswer: -4663296*sqrt(19) + 85969152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) -1 (d) -760 (e) 2715\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47364703 + 50125?\nAnswer: 50125.47364703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + z**2 - 2. Suppose 3*f = 5*r + 6, -3*f + 0*r + 6 = 3*r. Calculate the remainder when y(f) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -0.5 (c) -0.3 (d) 2\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 12*r + 22*r + 87 - 85 + 5*r**2 as d*r + a*r**2 + b + g*r**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 373, -4 in descending order.\nAnswer: 373, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1657\/9915 + 3\/6610. Let j = -11 - -6. Sort 3, -7, y, j in descending order.\nAnswer: 3, y, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9010004?\nAnswer: 2, 89, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -4454764 in descending order.\nAnswer: 4, -11, -4454764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 2244290751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 13*d = -14*d - 186, 0 = -p - d + 93. Which is bigger: 95 or p?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 10*x**2 + 13*x + 5. Let n be p(11). Suppose 0 = -4*m - 2*v + 22 - 0, 3*v + n = 4*m. Calculate the smallest common multiple of m and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/285 and 32\/19.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -488*v - 13 - 16 + 9 + 489*v. Let w be o(21). What is the common denominator of -2\/45 and 19*w\/20 + 5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 9. Let l be 1 + (0 + w - -2). Suppose -z - 27 = -l*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -109 (b) 4\/3 (c) 0.3 (d) -594 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 861977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36036 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37274365561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7104 + 7184. Solve 46*r = k - 310 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - 2*g**2 + 5*g + 6. Calculate the remainder when h(-3) is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 0.3713?\nAnswer: -4.0843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = w + 9784000, 0*v + 48920000 = -5*w - 3*v. Round w to the nearest one hundred thousand.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 644.3786m?\nAnswer: 644378.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -3*m**7\/245 + m**6\/70 - m**5\/210 - 13*m**2. What is b in h(b) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6556.589 meters to micrometers.\nAnswer: 6556589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**8*t*t\/t**4)**(-3)\/((t*(t\/(t\/t**(-2\/3)))\/t)\/((t\/(t\/t**(-1)))\/t)*(t**(-1\/8)\/t)\/t**(-1)) assuming t is positive.\nAnswer: t**(-533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99200 = 99985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 445140524 - 11?\nAnswer: 445140513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1720*o + 1465*o - 591*o - 554*o.\nAnswer: 2040*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3595 - 2*i**5 - 12*i + 3*i**3 - 4*i**5 - 3588 wrt i.\nAnswer: -120*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/12)\/(1\/(-4)). Let x(j) = 26*j**2 + 1. Does 9 divide x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6533 + 9228. What is the highest common divisor of 55 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u + 29*u + 4 - u + 0.\nAnswer: 45*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 41157925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - 5 - -5)*(-232 + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from fnbqinbz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = f. Let u = 3.2 + -3. Suppose -y + 4*q = 2*y + 2, y = -5*q - 7. Which is the nearest to u? (a) f (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 107, 139?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056501 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1795 + 10*n**4 - 2*n**2 - 2*n**4 - 1798 - 3*n - n**4 in the form p*n**4 + a*n**2 + x + y*n + h*n**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d - 86. Let v be f(11). Calculate the common denominator of -49\/12 and (4\/(-13))\/v + (-38024)\/3640.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334460271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255054?\nAnswer: 2, 3, 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.9 + -35.9. Which is smaller: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuunpnnnuu. Give prob of sequence pppn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-673 + 673 + 239*h)*(1 - 3*h - 1) to q + o*h**2 + f*h and give o.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-2 + 57\/15). Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.125633 centuries to years.\nAnswer: 412.5633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105766 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101259 = 5*y - 2*h, 3*h - 430 + 421 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -5.2. Sort -5, w, 0.3 in increasing order.\nAnswer: -5, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -2) + -40 + (17 - (16 - 16))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 756 divided by 63\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -627 and 59.663.\nAnswer: -567.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-104)*-1)\/((-2)\/26).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(-5\/9)))\/q*(q\/(q*(q\/(q**(-1\/16)*q*q))\/q))\/q assuming q is positive.\nAnswer: q**(-233\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 4*c)*(4*c**3 + 0*c**3 - 2*c**3) + 2*c**4 - 3*c**4 - c**4.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3054*z**2 - 312*z**2 + 134*z**2.\nAnswer: 2876*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cunc when four letters picked without replacement from nnnnunccncndnn?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/900 - (-4)\/18\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 9, 507*m = -2*z + 500*m + 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005595 less than -0.2?\nAnswer: -0.194405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -188. Sort l, -1, 1 in ascending order.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 14) in base 11?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -52. List the prime factors of (-4)\/(-3)*(-1 - (-167)\/y).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43533.7 + -43534. Let z = 2\/21 + 13\/84. Which is the nearest to -0.9? (a) 3 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.3, 2, -0.07, 0.12?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/25)*y*y*y*y\/(y*y\/y**(3\/5)))\/(y**12)**(2\/45))**(1\/66) assuming y is positive.\nAnswer: y**(118\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 22 = w, -w + 0*f = f - 20. Let p(j) = 20*j - 1158. Let u be p(58). Solve -5*i = 2*x + w, 0 = 4*x + 5*i + u + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4 - -3) + 0)\/(576\/(-90) - -6). Factor 0 + 1\/2*k**3 + 3*k + x*k**2.\nAnswer: k*(k + 2)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 8) to base 10\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/360 - 3257*t**5\/180 - 294487*t**4\/8 + 294849*t**3\/2 + 13248*t**2. Find p such that l(p) = 0.\nAnswer: -1629, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 17*j - 16*j)*(2 - 2 - 3*j**2) + 2*j**3 - 2*j**2 + 2*j**2.\nAnswer: 89*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*k**2 + 112*k**2 - 221*k**2 - 9 + 5*k in the form v*k + m*k**2 + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Suppose 0 = 3*b + w - 14. Solve 3 = -b*s + 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 59. Let g(t) = 115*t**2 + 1. Give q(g(a)).\nAnswer: 460*a**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 3. Let x be r(3). Suppose 8*n - n - 2*n + 25 = 0. What is the biggest value in x, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, b: 16}. What is prob of picking 4 b?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182251336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from tzvyptzya?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**1)*(t\/(t\/(t\/(t**4\/t))*t))\/t)\/(t**10*t\/(t*t**(1\/7))))**(-1\/4) assuming t is positive.\nAnswer: t**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 9 - 6*f + f - 2*f**3 - 2 as a + p*f**3 + d*f + x*f**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1215\/171 - (-2)\/(-19). Suppose 6*t - l = 5. Suppose f + 2*f = -4*q + 9, 3 = f. Solve t*i - 3*i + 5 = q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*1350\/(-6). Suppose 243*c - 253*c = -p. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 5:12 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/805)\/((2\/1)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**6\/165 + k**5\/22 + 3*k**4\/22 + 7*k**3\/33 + 2*k**2\/11 + 2*k + 5. Factor r(x).\nAnswer: 2*(x + 1)**3*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12814737.\nAnswer: 3, 13, 457, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480613990?\nAnswer: 2, 3, 5, 17, 691, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z*z**7)\/z))\/z)**9*((z**(1\/7)*z)\/z)\/(z**7\/z) assuming z is positive.\nAnswer: z**(-608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 15907.44 and 10.82.\nAnswer: 15918.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - -0.27495.\nAnswer: 0.32495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 290\/23 (c) -10704\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390 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: 1138, 2216, 3324, 4462, 5630?\nAnswer: 6828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1625 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-780)\/1120 - (-12)\/(-42) and 13\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 114 = -h. Let l = -96 + h. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -303094582.87 to the nearest one million.\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 - k + 12. Let n be f(5). Suppose 6*s + 5 + n = 0. Are -1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - ((-6534)\/55 - 4\/(-5)).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Suppose 0 = -5*w + 6 + 4. Suppose a = -3 - w. Sort a, -4, u.\nAnswer: a, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 - 4*h. Suppose 8 = 3*j - j. Suppose 5*b + 85 = -j*v, -2*v + v + 47 = -4*b. Let s(n) = 3*n**2 - 2*n. Calculate b*s(p) + 6*z(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 20*v**2 - 11*v + 1. Let c be r(6). Let c*s**2 - 10 + 9*s**2 - 11*s**2 - 5*s = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7419, 16741, 26063, 35385, 44707, 54029?\nAnswer: 63351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1556 + -1536 + -2 + -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 50. Calculate the least common multiple of (33\/7 + -3)\/((-16)\/((-5824)\/26)) and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2368435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23562 and 809336.\nAnswer: 50988168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**14\/a**(1\/20))**(3\/35))**(3\/23))**(1\/38) assuming a is positive.\nAnswer: a**(2511\/611800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 13*g - 2. Let d(s) = s**2. Calculate -2*d(u) - p(u).\nAnswer: -3*u**2 - 13*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 1 - 1 - 3*v + v + v + (-2 + 2 + 1)*(-4 - v + 4) + 0 + 0 - 2*v + 33*v - 9*v + 12*v)*(2*v + 2 + 5 - 2).\nAnswer: 62*v**2 + 155*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*r + 69*r + 1917*r + 1079*r.\nAnswer: 3733*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k - 6*k + 35*k - 11*k. Let b(q) = 7*q. Determine s(b(l)).\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*2 + 0 + sqrt(80).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 9*i**2 + 3*i + 56. Let k(x) = 2*x**3 - 16*x**2 - 5*x - 111. Let u(h) = -5*a(h) - 2*k(h). List the prime factors of u(14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 3*c)*(231*c**2 - 765*c**2 + 196*c**2).\nAnswer: -676*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -271*m**3 - 1580 + 1580 + (-m - m + 3*m)*(m**2 + 2*m**2 - 5*m**2).\nAnswer: -273*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y + 2. Let g be i(-3). What is the derivative of -2*n - 2*n + n - 3 + g wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 12 - 168 = 0. Solve -14*k - 80 = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*n. Suppose 3*m + 12 = 0, -n*p + 8 = -2*p - m. Suppose -k - t - 4*t = -1, 2*k - 58 = p*t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34966 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from uddmupudmddmpdmmduu.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 799919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 20 - 5 = 0. Suppose -2*n + 32 = -24. Suppose n - 22 = -3*s. Sort u, 3, s in increasing order.\nAnswer: u, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317085210 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4 - 2*u**2 + 11*u + 2 + 62*u**3 - 14*u - 2. Let o be n(2). Suppose -h + o = 8*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -246427, 5, -7.\nAnswer: -246427, -19, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*h - 2*d, 0 = 5*d - 3*d - 6. Suppose s = -s - 4*v + 8, 3*v + 30 = 3*s. What is the smallest common multiple of h and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4895648351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63272035, -126544085, -189816135, -253088185, -316360235?\n\"Answer: -63272050*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.61 + -12.29. Let m = f + 13. Let x = -0.269 + 0.169. What is the nearest to 1 in m, x, 1\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434660 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*s**2 + 50*s**2 - 298*s**2 + 45*s**2 in the form o + t*s + w*s**2 and give w.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 - 6*l - 1. Let o be r(-5). Suppose -5*v - 5*n = -4*v, 0 = -o*v + 2*n. Let p be (4\/10)\/((-6)\/10). Is v smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 11 = -5*p. Does 8 divide (10 - p)\/((-1)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 25. Let o = s - 2. Suppose y - 85 = -5*h, o*h + 3*y + 2*y = 73. What is the lowest common multiple of 18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8167 + 16567. Suppose 0 = -3*q + 2*b + 15, 4*q = -2*b + 2 + 4. Suppose -q*p + 0*p = g. 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: What is the least common multiple of 6886900 and 204?\nAnswer: 351231900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 3 + -1 + -1. Suppose 5*p = -h - 2445, h = -q*h - 3*p - 9695. Let t = h - -4820. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/11 - -1337\/264. Let o be (-5501708)\/528 - (-2)\/(-11). Let h = 10428 + o. Find the common denominator of x and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -83\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 707, -0.2, 0.2, -118, 0.4?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 153*v - 184 - 737 - 1221 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/2 (b) -4\/7 (c) 2\/17 (d) -4 (e) 3\/29 (f) -2\/5 (g) 2\/4871\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuyuuuuyyuyyyyuuyu. What is prob of sequence yuyy?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -10 + 25 + -2 - (-2 + 55) - -7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020951.\nAnswer: 3, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2353 = -55*m + 627 + 1090 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7808? (a) 5\/7 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5340787 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -7*k**5\/150 + k**4\/12 + 2*k**3\/15 - 7*k**2 - 1. Factor p(f).\nAnswer: -2*(f - 1)*(7*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30 and (201\/(-12))\/(20\/(0 - 4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 4*o - 3. Let a = -18 - 7. Let r be 36\/2 - (-10)\/2. Let z = r + a. Determine j(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-11) + 6\/(-33). Let p(r) be the third derivative of r**6\/360 - r**5\/60 - r**4\/12 + 2*r**2. Let o(f) be the second derivative of p(f). Give o(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 45*u**2 - 567*u + 7. Calculate r(12).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 5*b + 2*b)*(4*b**3 - 6*b**3 - b**3) + 2*b**4 + 2*b**3 - 2*b**3 in the form n*b**3 + l*b**4 + u + q*b + d*b**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 8. Let a = 7 + -2. Let i be t(a). Suppose -16 = 2*z + w + 15, -48 = 3*z + w. Which is greater: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2353008 and 14118048.\nAnswer: 14118048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z + 241091 = -40*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373429001 to the power of 1\/2, to the nearest integer?\nAnswer: 19324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279512 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -481*n**4 + 213.\nAnswer: -1924*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -740, -1110, -1480, -1850?\nAnswer: -2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 933643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 560 - -1?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n + 4. Let h be (-1)\/(((-3)\/6)\/(6\/(-4))). Let s be g(h). Is 12 a factor of s\/(140\/(-96))*(-135)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 0.02, -1, 5, -80?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/3))**(-1\/16)\/(h**(-3\/5)\/(h\/(h*h**(-2\/17))*h)) assuming h is positive.\nAnswer: h**(3419\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164835.\nAnswer: 5, 7, 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*f + 1059*f = 527*f + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 188, 96, -42, -232, -480?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36268716 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 12 = 0. Suppose 0 = -h*q + 148 + 352. Suppose -q + 1277 = 4*c. What is c rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/13625 and 127\/4834150?\nAnswer: 24170750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/120 + 4*l**3\/3 - 5*l**2. What is the derivative of w(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12939 + 0.1361. Round q to 4 decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 542\/9*y - 76\/9*y**2 - 2\/9*y**3 + 616\/9.\nAnswer: -2*(y - 7)*(y + 1)*(y + 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*b - 4*u, -47*u - 6 = -2*b - 45*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191006 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (((-456)\/(-12))\/(-19) - 22)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -5*n - 11, -15 = 3*n. Suppose 4*x - 42 = -d, d - 4*d + 3*x + 201 = 0. Suppose d = -5*c + h, 2*c - r*h + 11 = h. Is c at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0359109547 and 0.4.\nAnswer: -0.01436438188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1661884*h*m**4 - 807*h*m**2 + 8*h*m + 2*m**2 + 1 wrt m.\nAnswer: 39885216*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13340 divided by 20\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -682, -1081, -1564, -2167, -2926, -3877, -5056?\nAnswer: -6499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117? (a) 2 (b) -2\/3 (c) -1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/11)\/j)\/j)**(-5)*j*j**(-1\/3)*j**(2\/7))**(5\/2))**(-38) assuming j is positive.\nAnswer: j**(-220400\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22*m**2 + 5*m - 1. Let o(b) = -b**2 + b - 1. Let a(y) = -k(y) + 5*o(y). What is the derivative of a(u) wrt u?\nAnswer: -54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1838262 and 6433917?\nAnswer: 12867834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -367, -720, -1079, -1444, -1815?\n\"Answer: -3*m**2 - 344*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 - 2*b + 3. Suppose -2*h = -6 + 14. Let p be z(h). What is the tens digit of -1*(-63 + p + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y + 2. Let n be z(-4). Let o(i) = i + 2. Let c be o(-1). Let p = c + 1. Solve p*k = -n - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 78\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 15*x = -360. Calculate the remainder when (-36 + 2)*(-1)\/2 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from rrntxtrnrrrrnnxxrr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 4531606?\nAnswer: -57\/4531606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9007 and -0.004.\nAnswer: 36.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2. Let i(g) be the first derivative of -16*g**3\/3 + g**2\/2 + 74. Give a(i(b)).\nAnswer: -768*b**4 + 96*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**4\/6 + 38*w**3\/3 - 19*w**2\/2 - 18*w - 2. Is g(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 940495319 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1967467*d**4*y - 17*d**2*y + 139*d**2 + y wrt d?\nAnswer: 47219208*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 13) in base 2?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 262*u**5 - 496*u**2 - 262*u**5 - 520*u**6 - 138*u**2 wrt u?\nAnswer: -62400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-6)\/(sqrt(567)*2).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128212366 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 10 - 19)*(14*o**5 + 58*o**5 + 0*o**5 - o**5).\nAnswer: 1491*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.5, -7\/6, 0.7 in decreasing order.\nAnswer: 0.7, 0.5, -1\/2, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18289*w - 2 + 8 - 6.\nAnswer: 18289*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 820?\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3810)\/(-4445)*1\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w + 20. Let m(x) = -4*x. Calculate m(h(p)).\nAnswer: 112*p - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1612.13 and 21965.537?\nAnswer: 23577.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**5))**(-2\/37))**(3\/2) assuming k is positive.\nAnswer: k**(15\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 70*k**2 + 1. Let w = -5 + 4. Let y = 2 + w. Is g(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 499*q + 33895. What is u(-81)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n + 0 + 0 - 2 + 19*n.\nAnswer: 68*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 438 = 622. What is the smallest value in 9, j, -4, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -12. What is the tens digit of n + 7\/(28\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/30 - 63*c**5\/5 + 2023*c**2 - 1082*c. Differentiate p(r) wrt r.\nAnswer: 4*r**3 - 756*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 92*v - 102*v. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bf + -42?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1605898 and -69\/27300266?\nAnswer: 27300266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3372977 and -250994.\nAnswer: -3623971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 840754462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*l + 25*l + 560. Suppose -2*g = 5*v - 4*g + 40, -4 = -v - 2*g. Let n be (l\/8)\/((-3)\/v). What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55909407*k*t**3 + 207761*k*t - 2*k - 607*t wrt t?\nAnswer: 335456442*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**4 - 15*a**3 - 5*a**2 + 15*a - 10. Let b be (-292)\/(-10) - 2\/10. Let z = 9 - b. Let v(t) = 1. Let y(u) = z*v(u) - k(u). Factor y(s).\nAnswer: 5*(s - 1)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4*(-6)\/(-180)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5463, 1, 6 in increasing order.\nAnswer: -2, -1, 1, 6, 5463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*g**2 - 8*d**2*g + 3*d**2 + 14*d*g**2 - 2*d*g + 36*d + 3*g**2 wrt d?\nAnswer: 4*g**2 - 16*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scssccsncsussauccc. What is prob of sequence anc?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/2148 or 4332?\nAnswer: 4332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3*b)*(0 + 1 - 2)*(-2 + 4 + 0 + (-2 + 3 - 2)*(1 + 0 - 3)) in the form s*b + c and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 13) to base 14.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110010100011101000011 (base 2) in base 12?\nAnswer: 1310403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.08 (b) -15 (c) 0.6 (d) 0.1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z + 21. Let r = 10 + -6. Suppose -r*w + 15 - 436 = -3*x, -2*w = -10. What is the highest common factor of x and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7894864*z - 7*z**2 + 7894866*z - 15789730*z.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373344 divided by 8.\nAnswer: -46668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + ((-6)\/(-2) - 539\/7). Let d = f - -12079. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*a - 3*a. Suppose a = 125*l - 121*l - 756. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q + 2. Let j be y(-2). Let f = 7 + j. Suppose -u - 3*i - 12 = 0, 5*u + f*i - i = -8. Solve u = 3*v - 4*v + 5*o - 19, -o = -3*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-6)*(5 + 31\/(-7)). Which is the third biggest value? (a) -14 (b) l (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 742*y + 2*p = 743*y - 44, -2*y + 94 = -3*p. Solve -m - y = -50 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4635*v = 2321*v + 2295*v - 1691 for v.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**15\/u)\/u)**14)**(9\/2) assuming u is positive.\nAnswer: u**819","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -46 (c) 2 (d) -1\/19475\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 1. Let b(o) = 4*o - 1. Determine -2*b(n) + 3*s(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2. Suppose 6 - 2 = 2*n - 2*l, 2*n - 11 = -5*l. Let s = 28 + n. Let g(r) = 2*r**2 + s*r - 31*r. Determine b(g(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.4117 litres?\nAnswer: 15411.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 + 5*x + 13. Let y be g(-6). Let f = 396 + y. What is the remainder when f is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -493, 1898, 8321, 20792, 41327, 71942, 114653, 171476?\nAnswer: 244427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*k = -32, 0 = 2*p - 2*k - 3*k - 53. What is the highest common factor of 56 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 6\/7, -78, 3, 101\/3 in descending order.\nAnswer: 101\/3, 3, 6\/7, -1\/8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21350*s. Let n(l) = 6919*l**2. Calculate n(r(q)).\nAnswer: 3153835877500*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 206164725433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - 8*n + 20. Let y be c(5). Solve -2*w = -y*t - 4*w - 12, 5 = -5*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*z - 25 - 0, 12 = -3*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**7\/3360 + l**6\/1440 + l**3\/6 - 7*l**2. Let s(u) be the first derivative of n(u). Determine d so that s(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 44\/5 (c) -8702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 38 - 2*r - 63 + 3*r**2 - 2*r**2 + r**3. Let n be l(0). Let y = 141 + n. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*2\/(-238) - 1\/17. Let y(g) be the second derivative of h + 1\/4*g**5 + 19*g - 1\/3*g**2 - 5\/6*g**3 + 1\/18*g**4. Let y(d) = 0. Calculate d.\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 2*t**2 + 2*t**2 + (t - 3*t + 3*t)*(-1 + 1 - 2*t) + (-4*t**2 - t**2 + 3*t**2)*(-2 + 3 - 3) + 102*t - 102*t - 2*t**2 + 0*t**2 + 4*t**2 - 2*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000238259468 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -11321201?\nAnswer: 11321122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 9*n**2 - 9*n - 312. Calculate r(-10).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/9 - 92*w**3 - 5920*w**2\/3 - 90800*w\/9.\nAnswer: 4*w*(w - 227)*(w + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 19*u - 14. Let g be i(8). Suppose g = 3*y - 31. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 7, w: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*2*5*2)\/((sqrt(44) + sqrt(44) + sqrt(132)\/sqrt(3)*2)\/(sqrt(64) - (sqrt(64) - sqrt(64)*1))).\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by -8.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -614 + 859. What is the second biggest value in 5, v, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 19.4. What is the third smallest value in 1\/4, u, 2\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/15)*i*i*i*i\/i**(1\/2))\/((i**(1\/12)\/i)\/i*i\/i**(1\/6)) assuming i is positive.\nAnswer: i**(343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/4 + 121\/(-220). Which is the nearest to 2\/5? (a) -1 (b) -2\/7 (c) k (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 3. Let h be k(2). Let o be (1\/2)\/(h\/(-24)). Let v = 11 + -5. Solve o + v = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0 + 3*b - 1 - 6*b + 7. Let p(w) = 2*w - 4. Let d be (10\/3)\/((-8)\/12). Determine d*j(t) - 7*p(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*w + 2*w. Put 3, 1, w in descending order.\nAnswer: w, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17115691350*s**2 - 17115691350*s**2 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.481 + -17060138\nAnswer: -17060139.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 15*v**2 - 15*v + 6. Calculate the least common multiple of g(6) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.64 - 6.64. Suppose 2*d = 5*o - 4, 3*o + 2*o + 8 = -4*d. Let k be (-5 - o) + 4\/4. What is the biggest value in j, k, 5\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110474.\nAnswer: 2, 7, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.60489 times -7\nAnswer: 53.23423","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4990244 or -4990236?\nAnswer: -4990236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10803*a**2*b**3*g**2 - 766*a**2*b**3*g + a**2*b**3 + 2142*a**2*b*g**2 + 9*a**2*b*g - 337*b*g wrt g?\nAnswer: -21606*a**2*b**3 + 4284*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 625*q. Let t(l) = -7*l**2. Determine b(t(m)).\nAnswer: -4375*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 2*p**2 - 2*p + 1. Calculate the remainder when 10\/(25\/15 - 1) is divided by s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z + 14. Let p be r(-10). Let f(w) = -3*w + 9. Let j be f(p). List the prime factors of (4\/1 + j)*34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -291.1 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 14*v**2 + 10*v - 26. Let d be z(-13). Solve -4 = -s - 3*w - d, s - 4*w = 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2961462 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2347 - -3560. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5089247 millilitres to litres.\nAnswer: 0.0005089247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y**2 + 42244*y + 126748. Calculate c(-3).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:48 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = -2*q - 9, -4*m = -3*q + 3. Suppose 0 = 3*f - 0*f - m*s - 19524, -5*s + 6514 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110011?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 309584265*i - 436506710?\nAnswer: 309584265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*u + 5*r + 3, 2 = -5*u - r. Suppose 3*c = -u*c - 24900. Round c to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t. Let l(m) = -155*m. What is h(l(u))?\nAnswer: 2015*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 24*x**2 - 53*x + 35. Let f be o(26). Suppose 4*d = f*d + 5. Put d, 2, 3, 6 in decreasing order.\nAnswer: 6, 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55225293*n**3 - 139138622*n**2.\nAnswer: 331351758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-11) - 5*(-84)\/60?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = n, -3*p - 403*n + 406*n = 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-25 - -94) + -57\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 143 = -45 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-12)\/(-8))*(112\/(-42) - -14). Solve 0*i = 4*h + 3*i - n, -3*h = i - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 6 + 0 - -11 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l + 8. Let n = 8959 - 8960. What is d(n)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 3*m - m**2 + 2*m)*(3*m**2 - m**2 + 2*m**2) as r + c*m + h*m**2 + v*m**4 + u*m**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1632838158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*h**3*o**2 - 4349*h**3*o*y + 4*h**3*y + 5*h**2 + 2*o**2 + 4*y - 6782 wrt o?\nAnswer: 110*h**3*o - 4349*h**3*y + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1027615 divided by 205523.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5136296 and -124.04.\nAnswer: 5136171.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -24 - (3 - -6 - -19).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 10*v + 13. Let p be b(-11). Suppose -9 = -4*k + 7. Suppose 2*o = n - 29, -n - o - k = -p. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*j - 4*j. Let g = -1 + j. Let o be (-2)\/(-2)*g + -200. What is o rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.809 - 0.409. Which is the closest to -2\/3? (a) 5 (b) -9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(16) - (sqrt(1936) - (sqrt(1936) + 1*sqrt(1936))))\/(sqrt(8) - sqrt(88)\/(sqrt(11)*4 - sqrt(11)))*5)**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6319, -6346, -6407, -6514, -6679, -6914, -7231, -7642?\nAnswer: -8159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005973653*o - 1005973653*o + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 - 1*-2. Suppose 52 = -3*s - 41. Let p = s + 27. Which is the second biggest value? (a) 0 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 2*h + 0*h. Let b(i) = 2*i**2 + 2*i - 1. Let a(o) = -3 + 3 - 26*o**2 - 2 + 4*o. Let w(c) = -a(c) + 2*b(c). What is g(w(d))?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 4*u + 3*q, -8*u = -3*u + 3*q + 111. Let o be 16\/(-28) - 201\/u. Suppose -5*m = -o*m - p + 640, -5*p + 302 = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - a2?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose -3*t - 5*a = -32, -q*a + 4*a = 3*t - 46. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 28419 + 28419.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + sqrt(17))**2*-2 + 2.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - 92. Let h = w + 243. Solve 8*p - h*p - 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 638 (b) -0.5 (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15934 is divided by 430?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1159\/8 + 145. Let w = n + -29\/8. Put 2\/19, -3, 0.4, w in ascending order.\nAnswer: w, -3, 2\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 212912*b. Let v(o) = o. Give j(v(l)).\nAnswer: 212912*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 - u**2 - 5*u**2)*((-53 + 38 - 25)*(2*u + 0 + 0) + 4*u - 5*u + 2*u) to q*u**3 + t*u**2 + h*u + f and give q.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 11. Let f be y(9). Let t = 25 - 22. Suppose 9*q = 4*q - f*c + 106, 0 = -2*q + t*c + 50. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2841.91 + 2842. Which is bigger: 10\/27 or i?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:30 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 10*a - 4*a. Solve 54*y - 47*y + 42 = a for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(2\/19)*u**(3\/7)*u*u**(-1) assuming u is positive.\nAnswer: u**(29\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - u - 3. Let y be d(2). Suppose -2*k = 0, y*q = -11*k + 10*k + 66. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + 5*p**4\/24 - 11*p**3\/3 + 2*p**2 + 244*p. What is i(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 77511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w)*(-73 - 3*w + 34 + 35).\nAnswer: -6*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4404041, -4404044, -4404047, -4404050?\n\"Answer: -3*h - 4404038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*((2*t**2 + 0*t + 0*t)*(-2 + 2*t + 2) + t**3 - 3*t**3 + 0*t**3 - 6*t + 6*t + t**3) + 137*t**4 + 314*t**4 + 293*t**4.\nAnswer: 750*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 8) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = s - 15, -2*n = 5*s - 3. Suppose 0 + 4 = n*u. Let q(l) = l + 5*l**2 - 3*l**2 - u - 3*l**2. What is q(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 200 = 435. Let q be 3 + (-3 + 2 - w). Find the common denominator of 55\/(-4)*90\/q and 127\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675472 divided by 337736.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, -3682159, -1 in increasing order.\nAnswer: -3682159, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 3*s)*(s + 0*s - 3*s) + 186084 - 3*s**2 + 3*s - 186055 - 6*s.\nAnswer: -5*s**2 - 3*s + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/((-135)\/(-1)))\/(1\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o**3*(o**2)**3)**(-47))**(1\/18) assuming o is positive.\nAnswer: o**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 27 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 4. Let z = -2.5 + r. Which is the closest to 1? (a) -4\/3 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and 3\/1891?\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 5\/140769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(24)\/sqrt(4)*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/264 and 97\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11152543 (base 6) to base 16\nAnswer: -535ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1677753*s**2 - 9*s - 41767323?\nAnswer: -3355506*s - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 7 + -5 + -2 + 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33060)\/(-203))\/(-38)*-7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1567*d**4 + 737 wrt d?\nAnswer: -6268*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, 2, 3.\nAnswer: -24, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h + 11. Suppose 3*w = 2*w - 8. Let p be r(w). Put p, -2, -4 in increasing order.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggq. What is prob of picking 1 q and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7855 is divided by 187.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.336 + -101.334. Let y = -126 - q. Let d = -0.47 + y. Sort -14, 1, d, -1 in increasing order.\nAnswer: -14, -1, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252761776 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*t - 1614*t + 829*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13008.3 less than 0.16?\nAnswer: 13008.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.75 + 1. Let z = -53.315912 - -53.566. Let p = z - d. Round p to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 3*p + 13*p + 3*p**2 + 14*p + 6*p.\nAnswer: 3*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3971 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -47, -88, -153, -248?\n\"Answer: -y**3 - 3*y**2 - 7*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54108 and 1678.\nAnswer: 45396612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.4 or 1\/15?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-20)\/12 + -1. Suppose 0 = -3*d, 2*g - 57 = -g - o*d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) 125\/3087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:51 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-12\/7))\/(h**13\/h))**(-17\/2) assuming h is positive.\nAnswer: h**(1513\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229 and 31047362?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -69. Solve 0 = -j + i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 17. Let n be b(5). Let d = 0 + n. Suppose 6*z**3 + 2*z + z**4 + 0*z**4 + 12*z**2 + d + 8*z = 0. Calculate z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -40044*u. Let r(m) = 74*m + 8. Determine o(r(l)).\nAnswer: -2963256*l - 320352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(-2\/25)))\/r*r)\/r**8 assuming r is positive.\nAnswer: r**(-173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 2*z + 0*z**2 - 4*z**2 - 2*z**2 - 9*z to the form u + g*z**2 + v*z and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 528669 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -20*j + 10 - 10*j - 27 + 10. Let n(g) = 16*g + 3. Let a(z) = -11*n(z) - 6*p(z). Suppose -5*b - 10 = 5*y, 6*b - 4*y = 2*b - 40. Give a(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let t = 0 + m. Let l = -0.2 - 0.3. Which is the second biggest value? (a) l (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 9) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + g**2. Let s(k) = -3*k**3 - 4*k**2 - 2*k. Let d(j) = -10 + 16 + 5 - 2*j. Let t be d(6). Let w be (0 - 8)\/(2\/t). Give w*f(u) + s(u).\nAnswer: u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10237 - 20493 - 4*v**2 + 10235 - v**4 + (3*v**3 - 5*v**3 + 0*v**3)*(4 + 3*v - 2 + 0).\nAnswer: -7*v**4 - 4*v**3 - 4*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, v: 2, w: 1, x: 2}. What is prob of picking 1 x and 1 z?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73\/560 - 1\/80. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 595 + -592. What is the nearest to 0 in d, -2\/11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**3 - 2*v**3 + 9*v**2 - 3*v**3 + (4*v - 2*v - 3*v)*(-v**2 - 3*v + 3*v).\nAnswer: 2*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -148660246*j*k - 50279634*k wrt j.\nAnswer: -148660246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (17 - 20 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 2870?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 214b5 (base 15) to base 14\nAnswer: 2a739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 22*y + 62. Let j be c(6). Let x(b) = 4 - 6*b**2 - 2*b + 9*b**j + 64*b**3 - 7*b**2 - 63*b**3. Determine x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55620 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/8 - 15\/(-10). Let s(w) = 4*w. Let z(x) = -5*x. Calculate u*s(f) - 5*z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -111010101101011101000?\nAnswer: -111010101101011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - (-18 - (22 + -21)) - 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 28*q**2 - 70*q + 70. Calculate f(30).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 + 108*f**3 - 2340*f**2 + 6084*f.\nAnswer: -4*f*(f - 39)**2*(f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-35) - 17\/((-119)\/(-6)). Let z = -13\/2 - -4. What is the closest to -0.2 in s, z, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*g + 1. Suppose 3*m + 0 = k + 3, -5*k + g*m = -9. Suppose 3*x = -k*a - 0*a + 33, -a = 5*x - 39. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1462*d - 2738.\nAnswer: 1462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/540 + 91*j**5\/135 - 2635*j**4\/36 - 3844*j**3\/3 - 1246*j**2. Factor h(y).\nAnswer: -2*(y - 93)**2*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6, 2*j - 2*l + 21 = 7*j. Suppose -j*d + 9*d - d = 0. Factor -4\/11*u**3 - 2\/11*u**5 + 6\/11*u**4 + 0 + d*u + 0*u**2.\nAnswer: -2*u**3*(u - 2)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -15 - 75. Suppose 0*a = 5*a - r. Factor 4*y**2 - 9*y**4 + 9*y**5 + 5*y**4 + a*y**3 - 15*y**3.\nAnswer: y**2*(y - 1)*(y + 1)*(9*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 9*n**2 + 7*n + 8. Suppose -6*t = -10*t + 32. Let o be h(t). Factor 2\/13*g - 2\/13*g**3 + o + 0*g**2.\nAnswer: -2*g*(g - 1)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:25 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 3.7. Let w = -0.4 + 0.2. What is the fourth smallest value in 13, w, n, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61022606 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 -8 (base 15) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181 - -184. Let u(l) = -5 - 2*l + 3*l**2 + l**3 - 5*l + 0*l**2. Let o(p) = 2*p**3 + 6*p**2 - 13*p - 10. Let r(i) = h*o(i) - 5*u(i). Determine r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/4*54274\/101147.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97029257 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 c when four letters picked without replacement from {c: 4, s: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1699060 and 29\/169906.\nAnswer: 1699060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*x + 3 = x, 3*h + 3 = 3*x. Suppose h = 5*a - a. Suppose a = -2*k + 71 - 21. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**3 + 29*g**2 - 101*g - 32. Let i(n) = 50*n**3 + 88*n**2 - 304*n - 96. Let s(l) = 3*i(l) - 8*u(l). Factor s(h).\nAnswer: 2*(h - 2)*(h + 4)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -463558, -463566, -463588, -463630, -463698, -463798, -463936, -464118?\n\"Answer: -i**3 - i**2 + 2*i - 463558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + 5 + -12)\/((-2)\/4). Which is the closest to 0.9? (a) 0.3 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjz when three letters picked without replacement from jzzk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 + a - 2. Let h(f) = -f**2 + 2*f + 28. Let x be h(6). Let c be m(x). Solve 3*r + 40 = 5*k, r = -c*r - k - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 7*z**2 + 2*z**2 + z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42365 and 0.6.\nAnswer: 25419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-10)*-1*170\/68. Solve -2*i + 0 = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 29. Let c be j(9). Calculate the greatest common factor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r)*(-1 + 1 + 2*r) + (0 - 3*r + r + 2)*(20539 + 373*r - 20539).\nAnswer: -742*r**2 + 746*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/40)\/(4 - 100\/24). Solve 0 = a*y + 5*t - 37, 3*y - 12 = -4*t + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -11 - 11) + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 0*a - 5*a)*(-20 + 3*a + 20)*(0 + 0 - 2) to the form j + l*a + r*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/35)\/(5 + (-183)\/21). What is the closest to -0.1 in -1, -0.064, l, 0?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 4*y**2 - 4*y + 4. Let f be j(3). Let w(i) = 3 + 3*i + 2 - f - 2*i. What is the tens digit of w(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*((k - 2*k + 3*k)*(0 - 2 + 1) + (-3 + 10 - 2*k - 3)*(4 + 1 - 10)) as t + r*k and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 4. Let k be 1 - (-1 - y - 3). Is k at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 210 - 2*x**2 - 427 - 23*x + 218 in the form j + w*x**2 + a*x**3 + y*x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 10 (c) -0.6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -126, 0, 2, -1 in descending order.\nAnswer: 3, 2, 0, -1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6023*m - 27835 wrt m.\nAnswer: 6023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60 + -104dd3?\nAnswer: -104d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -26 - 82. Find the common denominator of (-2)\/(m\/93*3) and (-4)\/(-2) + 101\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 334207458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6148265 nanograms?\nAnswer: 0.0000006148265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3973 + -4?\nAnswer: -3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 48. Let s be ((-9)\/4)\/((-9)\/d). Put s, -4, -2 in decreasing order.\nAnswer: -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16959*c = 346*c - 1074*c + 919724 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/7 + 16\/21. Let m = 129.03 - 132. Let h = m + -0.03. What is the second smallest value in -2, f, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 + 918*l + 920 = 0.\nAnswer: -1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -5*o + 10*x + 625, -3*x - 635 = -5*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 62, -22, 6, 11, 5 in increasing order.\nAnswer: -22, -8, 2, 5, 6, 11, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4\/(-5))*(30058\/(-7505) + 4)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -4, -3, 0 in decreasing order.\nAnswer: 1, 0, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/6*0\/2. Suppose 78 = 11*f - 54. Suppose -38 = -7*l - f*l. Solve -3*k - s + 16 = x, 3*s - 28 = -l*k - 2*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4 - 8, r = 5*u + 1. Let x = 19 + r. Suppose -1 = y - x. Put y, -0.8, 2 in descending order.\nAnswer: y, 2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 8*i - 7. Let q be m(-9). Suppose 0 = -q*p - 23 + 29. Solve 2*d = 2*v + v + 2, -5*d + p*v + 14 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 2490*v**2 - 778734*v + 2313846.\nAnswer: -2*(v - 621)**2*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.51 - 0.11. Let m be 34\/30 + (-2)\/6. What is the second smallest value in j, m, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356712 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 5*sqrt(33)\/sqrt(3))*1 - -4*1*1*sqrt(1331))*3)**2.\nAnswer: 2646*sqrt(11) + 237780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4, 3*k = -4*g - k + 232. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b**5 + 6000*b**4 + 137958*b**3 - 2698448*b**2 - 2810280*b - 453024 = 0. What is b?\nAnswer: -66, -4\/5, -1\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*b, -3*c + b = -8. Suppose 3 = -c*n + 12. Let w = n - 0. Solve -w*d - 2*d = -a - 16, 2*a + 11 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75992 at least -76038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 45. Suppose -t*x + 30*x = -100. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*((-4*l - l + 3*l)*(1 - 3 - 1) - 6*l + l + 2*l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 17*q + 15*q = 9, 6 = 2*r - 2*q. Let k be (r + (-5)\/2)\/((-159)\/1166). Solve 0 = -8*m + k - 51 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*a = 37, 12 = -4*j + a - 13. Let m = j + 9. Suppose -2*f + 112 = m*f. Calculate the remainder when 111 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -18*l**3 + 2*l**2 - 2*l - 10. Let x be w(-4). Suppose -3 = x*p - 1181*p. Let o(i) = -2*i - 1. Let h(q) = q. Determine p*o(a) - 5*h(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28979\/7 + 4140. Determine a, given that 0 + y*a + 1\/7*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*y - 9580 = 0, -2*y = -4*h - y + 12796. Round h to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257969649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717227 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*s + 291 + 6159. Suppose 824 + 82 = 6*w. Is w greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.542 + -0.742. What is t rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58279155 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2604, -5210, -7828, -10464, -13124, -15814, -18540?\n\"Answer: -q**3 - 2599*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/(-1)*61\/(-244))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30334463 to the power of 1\/2, to the nearest integer?\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2130648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 69?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/((-16)\/40). Suppose 57 = m + 12. Is 21 a factor of m - (0 + -2)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153115475?\nAnswer: 5, 43, 142433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13 = -2*l, 4*l - 5*a - 17 = 3*l. Suppose -6 = -0*m + l*m. Let z be 15\/(-9)*(-30 + m). Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/11 and 68.202 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(45))*6 + -4 + -1 + -2 + (sqrt(245) - (sqrt(245) + 1 + sqrt(245)))**2.\nAnswer: 32*sqrt(5) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*q = 2*b - 12, 2*b - 30 = 5*q. Suppose 18598 = 24*t + b*t. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, -687, -1551, -2431, -3333, -4263?\nAnswer: -5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*v**2 - 2\/7*v**3 - 2\/7*v.\nAnswer: -2*v*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - j = -13*f - 25, 4*j = -5*f - 36. Let w(g) = g**2 + 10*g + 25. What is w(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j. Let y(o) = 7*o. Let l(x) = -5*v(x) - 2*y(x). Let z(t) be the first derivative of -1\/2*t**2 + 0*t + 5. What is z(l(s))?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2467 - 1387. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*v + 4*v + 3*r, -2 = -4*v - r. Suppose 4*f = -y + 22, 0 = 3*y - 4*f + 6*f - 16. Solve v = -4*o + 6 + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(20)\/(sqrt(10)*-3) + sqrt(2) - (sqrt(96)\/sqrt(4))\/sqrt(12))*2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*o - 6, -2*r + 5*o = -25 + 27. Let l = 10 - 14. Put -8, l, r in descending order.\nAnswer: r, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 25 = -4*o, f + 4*o - 21 = 0. Solve 29*i + f*i - 272 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204399 to the power of 1\/2, to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 67*z**2 - 4. Let b(a) = 16*a**2 - 1. Let j(n) = 4*b(n) - d(n). Let m(h) = 0*h**2 + 2*h**2 + 23*h**2. What is m(j(g))?\nAnswer: 225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 11*q**3 - 9*q**3 + 3*q**3 - 2 - 16*q**2 + 2*q**3 as n + j*q**4 + p*q + f*q**3 + z*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3563072446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874217 is divided by 359270?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13635a8 (base 11) to base 6.\nAnswer: -122151004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54239 or -54238?\nAnswer: -54239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-m + 0*m - m)*(-3 - 2 + 3)*(-98*m - 30*m - 118*m) + (m + 0*m + m)*(-4*m + 0*m - 3*m) to the form f*m + i*m**2 + t and give i.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3418?\nAnswer: 3418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*t + 33*t - 44. Suppose t*c = 69*c. Solve -o + 5*o - 12 = c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5846+-10.71\nAnswer: -5856.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 21667.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(147) + sqrt(147) + -1*(-1 + sqrt(147)) + sqrt(147) - sqrt(147) - sqrt(147)) + -2 + sqrt(147) + 1*sqrt(147))*-6)**2 + 0).\nAnswer: -63612 + 3024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4006103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5437, -0.4, 23\/3 in decreasing order.\nAnswer: 23\/3, -8\/5437, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmw when three letters picked without replacement from rvvwymvvwswvy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1\/8, 0.1, -1\/3, -501 in decreasing order.\nAnswer: 14, 0.1, -1\/8, -1\/3, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 73*b**3 + 2*b**2 - b**2.\nAnswer: -73*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -164*h - 2. Let o be a(-3). Let r = o + -286. Suppose 5*m - r - 121 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49398.152 to the nearest 100.\nAnswer: -49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416188050?\nAnswer: 2, 5, 28323761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2912219*g = -2912253*g + 612 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsj when four letters picked without replacement from {s: 12, j: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11. Let j = 3 + -3. Solve 5*i - 6 = 2*l, s = -j*i + 4*i + 3*l + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4602 and 119444?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-6))\/(-17)*8\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99810, -199617, -299424, -399231, -499038?\n\"Answer: -99807*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 193690 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 186 + 171 - 354 + 3*o. Calculate h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -43*d**2 - 21*d - 80. Determine q(-3).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3573, 22853, 57825, 108483, 174821, 256833, 354513, 467855?\nAnswer: 596853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 172433.8 to the nearest one thousand.\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*c**3 + 3*c**2 + 12*c**2 - 6 + 8 - 15*c**2 to the form j*c + u*c**2 + o + s*c**3 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 275. Let c(i) = i**2 + 10*i + 9. Let u be c(-9). Let a be t(u). Suppose 4*w + 142 = -5*b, 114 = 5*w - 2*b + a. Is w >= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -125?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 - h**2)*(-2*h + h - 3*h + (2 + h - 2)*(-2 + 1 - 1) - 3*h + h + 4*h).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36735 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*z**2 - 110*z**2 - 127*z**2 - 104*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204.557 + 0.443. Let r = -206 + v. What is the closest to 0 in r, 7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 5\/4*w**4 + 4 - 7\/2*w**2 - 7\/3*w**3 - 4*w. Let v(h) = 2*h**3 - 3*h**2 - 3*h - 2. Let d(n) = 3*u(n) - 7*v(n). Calculate d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 1. Let p(t) = 3*t**2 + 8*t + 4. Let c(f) = 4*g(f) - p(f). Let x(q) be the third derivative of -2*q**5\/15 - 16*q**2. Calculate c(x(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21511 - (-8)\/30*(-96)\/(-64)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -84. What are the prime factors of 136\/h*(7 + (-51)\/6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3411022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18200*k**4 - 1619799*k**3 - 3294289*k**2 - 1656381*k - 91 = 0. Calculate k.\nAnswer: -1, -1\/18200, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, h: 4, d: 2, o: 5}. What is prob of picking 1 o, 1 t, and 1 h?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 605864 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:25 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhghgvliif. Give prob of picking 1 i, 1 l, and 1 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8725*j. Let m(b) = -b + 7. Determine t(m(c)).\nAnswer: -8725*c + 61075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1728\/(-4224)*(-16)\/(-18).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(108\/42) - 2\/6. Let x(g) = 36*g**2 + 13*g**z - 4 + g**2 + 2*g**2 - 5*g. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 180. Let p be d(0). What is the greatest common factor of 36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6 = 3*o - 3*l, 0 = 5*o + 2*l - 21. Let c(h) = h**2 - 4. Let x be c(-3). Let s = x + o. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 - 1. Suppose -4*w = -u*w, -4*d + 12 = -2*w. Solve 9 = -0*x - d*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3609904 or 3609907?\nAnswer: 3609904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-21)\/(-6))*(3 - 1). Suppose 0 = -u + 2*p + 1442, 6*u = 3*u + m*p + 4325. Suppose -5*r = 4*r - u. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135668 + -135665. Let r = 1 - -1. What is the nearest to 0 in -0.3, b, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361 divided by -2.\nAnswer: -361\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, -261?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4\/7, 2\/7, 7\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -20259.99932\nAnswer: -20260.29932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 3208?\nAnswer: 702552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.3, 0, -1.09, 4, -0.5?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 24*s + 14 - s**2 + 11 + 2*s**2 = 0. Calculate s.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.3, -1.1, -0.4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*(-9 - (-2 + -9))*-3. Sort w, -28, 21, 0 in decreasing order.\nAnswer: 21, 0, w, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(31 - 6) - (-30)\/(-4))*-22\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -86\/12063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 4*h = -12. Let q = -70 + 89. What is the remainder when q is divided by 1 + h + 3 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) 14202 (c) 388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -17\/3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24606, 24957, 25308, 25659?\nAnswer: 26010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 minus -32?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 180 = g, 5820*g - m = 5839*g - 130 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*f + 27, 625*f + 7 = 2*o + 624*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*t**3 + 10*t - 1\/3*t**2.\nAnswer: -t*(t - 5)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 947165104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 21.5. Let f = -4 - j. Let n = -492\/5 - -99. Which is the smallest value? (a) f (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2562754199 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*c + 5*m, -5*c - 28 + 3 = -4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*h - 450 = -250*h. What is the remainder when 112 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21121063087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -565 and 287 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 - -1 - 1258\/(-102). Find l such that n*l + 0*l**2 + l**5 + 0 - 3*l**3 + 2\/3*l**4 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -1, 108882 in descending order.\nAnswer: 108882, 11, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b**2 - 5*b - 5. Let k be i(-3). Suppose -2*h + k = -35. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(14 + (14 - 31))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994619.\nAnswer: 3, 11, 60443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:46 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1299 - 1298.4. What is the second biggest value in -5, h, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -3933cc?\nAnswer: -3933ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 - (4408\/1856 + (-15)\/40).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 6*f = 11*f - 12*f. Solve s - 2 = 25*i - 27*i, f = 3*i + s - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeoekoenm. What is prob of sequence em?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 4*o - o**3)*(-2191*o - 18485*o + 3007*o).\nAnswer: 17669*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2412 or 2413?\nAnswer: 2413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -65*t**3 + 454*t**2 + 26*t - 132. Give a(5).\nAnswer: 3223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -2. Let v be 0\/((0 + 1)*-1). Solve v = -h*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 4, 8, -3\/8, -5\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkjj when four letters picked without replacement from jjjkkjjjjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(45\/34))\/(2278\/(-22780)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9925?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/310362 and -49\/620724.\nAnswer: 620724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 35 (c) 2 (d) 3\/5 (e) -7 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0 + 0)*(1 + 3 - 1) + 213*c - 204*c - 121*c in the form h*c + o and give h.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*(-4)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14183 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -5\/7 (b) -17 (c) 3\/2 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8453642 is divided by 1408935?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.23. Let v = h - 0.3. Let b(k) = -k - 2. Let p be b(-3). What is the nearest to 0 in 2, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let y = -24 + 26. Let r = y + 1. What is the third biggest value in r, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1954dd8 + -28?\nAnswer: 1954db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3 + t - 5 + 0. Let h be o(4). What is the units digit of (-1)\/(-4)*10*h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 40. Let 0*i**2 - 2*i - i**2 + f*i + 0*i**2 - 49 = 0. What is i?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.04 and -11460.\nAnswer: -11461.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5587185 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5792 - 0.01.\nAnswer: 5791.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 + 8 = -4*r, p = 2*r - 3. Put 1\/12, -5, 2\/9, p in ascending order.\nAnswer: -5, 1\/12, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5694 = -21*u + 34*u. Let m = u + 1239. What are the prime factors of m?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14100*f + 14099*f - 14*d - 2 = 0, -d - 2 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = 98*u + 64. Which is the second smallest value? (a) -6 (b) 6 (c) u (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-5))\/((-18)\/60). Suppose c*i - 4 - 4 = 0. Differentiate 0*a**4 + 2*a**4 + a**4 + 3 - i with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 6 = -38 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -200deb?\nAnswer: -200de2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 295\/59.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16494008 divided by 4123502\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 37*r**2 + 16*r + 7. Let z be i(4). Calculate the highest common factor of z and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -165916130\nAnswer: 3\/165916130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d*p**4 + 9*d*p**2 - 99*d*p + d + 146*p**5 - 851*p - 1 wrt p?\nAnswer: 36*d*p**2 + 18*d + 2920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4*x - 20, -3*x + t + 9 = -4*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-2) + (-4 - -4). Let f = 187 - 190. Sort g, -12, f in decreasing order.\nAnswer: g, f, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224373 is divided by 251.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, -1, 339921, 4.\nAnswer: -2, -1, 0, 2, 4, 339921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40070 and 16028.\nAnswer: 80140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -478 + 178. Let f = m - -595. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n**2 - 32*n - 24. Let p be b(4). Solve 2*v - 2*a = 16 - p, 0 = -v + 4*a + 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906 + 3*y - 899 + 2701 - 896.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/4 + 36460359*f\/2 + 36460360 = 0.\nAnswer: -2, 72920720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2213070309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 85693956990 to the nearest 1000000.\nAnswer: 85694000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/7 - 6763324*o**2\/7 + 2858831690748*o\/7 + 65756706734268\/7.\nAnswer: 4*(o - 845427)**2*(o + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:31 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 389028 and 408.\nAnswer: 778056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -17*d + 13*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b + 1. Let p(v) = 6 + 45*v + 8*v - 59*v. Give 2*p(o) - 12*r(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 959*n - 6895 wrt n?\nAnswer: 959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152.9 + -153. Which is the closest to 1\/3? (a) -0.2 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301.708 + 300. Let c = 2.16 + k. Let l = c + -0.452001004. What is l rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 + 30*x**4 - 70*x**3 + 80*x**2 - 45*x + 10 = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -214594, -429194, -643792, -858388?\n\"Answer: q**2 - 214603*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-472)\/(-14)) + (-6)\/21. Let b = 36 + o. Suppose -8 = 4*q + 2*c, -3*q = -c - 1 + 2. Sort q, -3, b, -4 in descending order.\nAnswer: b, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -915*f + 499*f + 531*f - 8280 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 27*b**2 + 15*b - 32. Give r(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 - 19*y - 7. Let b(r) = 2*r**3 - 2*r**2 - 1. Let a(z) = b(z) - t(z). Let v be 0 - (-7)\/1 - -1. Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1038103 and 836.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526846173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 5}. What is prob of sequence iyi?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(13) + 5*(sqrt(13) + -1) + -1 + 3 + 2 + -4)**2.\nAnswer: -72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 5*c**2 - 4*c**2 + 844 - 3*c**2 + 9*c**2 to the form a + k*c**2 + u*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/9)\/((-2)\/36). Suppose -6*r - 351 + 1731 = 0. Let s = -146 + r. Calculate the greatest common factor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-56) + -1*9\/21. Let o = 4.87 - 5.97. Which is the second smallest value? (a) o (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 10\/4)*-14. Let g be (-4512)\/r - (-4)\/28. Suppose 0 = 5*z - 75 - g. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 57, 84, 109, 132, 153, 172?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.88 - -0.8. Let r = w - -0.0797. Round r to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 26. Suppose -3*m + 3 = -9. Suppose -d = 3*f + 2*d + 63, 74 = -m*f - 2*d. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 2671816*v\/3 + 1784650184464\/3.\nAnswer: (v + 1335908)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3383 + 19011. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + -11) - (-1940 - -1964) - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 + -338. Let p = l - 157. Let a(b) = -7*b - 3. Let i be a(-7). Is i at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -2*u - 23. Let a = u - -177\/2. What is the common denominator of a and -1\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 3*y)*(-2*y + 0 + 0) + 3 - 5 - 3835*y**2 - 2*y - 809*y**2.\nAnswer: -4646*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 107*p**2 - 7*p + 10. Let d(x) = -53*x**2 + 3*x - 4. Calculate 5*d(l) + 2*w(l).\nAnswer: -51*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179555 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 5*b = -69, 126*d + 16 = 130*d - b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5897*l - 1478 + 543*l - l - 5549 - 1885*l wrt l.\nAnswer: -7240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 13. Let l(t) be the third derivative of -t**3\/6 - 4*t**2. Let x(s) = -6*l(s) - v(s). Determine x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdqdaqm. Give prob of picking 1 d and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*o - 6096 - 42412 = 0, 4*o = -2*g + 32328. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2 - (8 + -8) - -5) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5*(-2 + 5)*41\/(492\/49160)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swk when three letters picked without replacement from hkhpsow?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3eb + -d?\nAnswer: 3dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28296, -56145, -83994, -111843, -139692?\n\"Answer: -27849*b - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 28*g + 11. Let y be h(-9). Find the third derivative of -27*a**4 + 8*a**2 + y*a - 15*a**2 + 0*a - 49*a**4 wrt a.\nAnswer: -1824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2250\/(-3375))\/(0 + 2\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 1. Let s(d) = -7397*d - 1707. Let o(i) = 1707*j(i) - s(i). Let h(r) = 2*r. Give h(o(b)).\nAnswer: 1138*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.977399 micrograms?\nAnswer: 0.000000000002977399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h + 276. What is b(16)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-9)*94\/376)\/(-3*8\/396).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 11, 2, -432?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*m + 56*m - 4 + 4 - 12*m + 45*m.\nAnswer: 100*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2 + 86*k - 3. Let f(l) = -2*l**2 + 1. Determine -3*f(v) - z(v).\nAnswer: -v**2 - 86*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 - 13 = 0. Let z = -1216.6 + 1216.9. Sort 2\/11, z, s, 0.1 in ascending order.\nAnswer: s, 0.1, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1266165561?\nAnswer: 1266165555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*x - 5*a, 3*x + 3*a - 6 = 6*a. Solve -x*l + 28 = -2*p, -5*p + 0*l = 3*l + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8707e (base 16) in base 14?\nAnswer: -1057c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 5*c + 28*c + 0*c - 2*c**2 - 1 as q*c**2 + f + j*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-188)\/(-6) + 44\/66. Suppose -h - l = -3*p, -16 = -2*p - h - h. Let o(s) = 3*s**2 + 14*s + 5. Let c be o(-5). Is c < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430353 is divided by 126.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1000) - sqrt(1000))\/sqrt(2)*-4 - -6*(sqrt(605) + (sqrt(605) + (sqrt(605) + 0 + sqrt(605) - sqrt(605)))**2 + -2))*3.\nAnswer: 438*sqrt(5) + 43524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + t - 1. Let u be (2\/12)\/((-13)\/(-78)). Let d be a(u). Find c, given that -78*c**d - 18*c**4 + 7*c**3 + 22*c + 68*c**3 - 14*c + 24 - 20*c = 0.\nAnswer: -1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1 - 392\/((-20)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/3 + 7*k**2 - k. Let w be q(8). Let r = 12 + w. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 10*g**2 + 15*g + 3. Let n be y(-12). Suppose -14 = 104*c - n*c. Solve -q + 5 = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 178*b - 935. Calculate o(-94).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 2*g**2 - 2*g + 5. Let l be o(2). Suppose -l*x + 4*x - r + 5585 = 0, 1117 = x + r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 + 2*f + 11 - 7*f + 0*f**4 - 126*f**2 + 188*f**2 wrt f.\nAnswer: 24*f**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/2, -0.08, -1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169.7 - 169.8. Which is smaller: n or 14.22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.775085 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16.27839km?\nAnswer: 16278390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1621181, 3242360, 4863539, 6484718?\nAnswer: 8105897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18159?\nAnswer: 3, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 4. Let j be p(2). Let r = 358169\/18 - 19905. What is the common denominator of r and (-2)\/j*975\/70?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 6*a + 3*a + (-1 + 4 - 1)*(a + 0*a + 4*a))*(0 + 1 + 3 + (-3 + 0 + 1)*(2 - 5 + 2) + (-2 + 1 - 1)*(-6 + 4 + 1)).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 323121223 (base 4) in base 2?\nAnswer: 111011011001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p + 92*p - 38*p.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(64\/(-36)) - (-2)\/(-4). Suppose h*y + 17 = 149. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + 9*x**2 + 2*x**2 + 20*x**3 - 33*x**2 + 13*x**2.\nAnswer: 20*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 95 + 95. Let x(b) be the third derivative of 0 - 3*b**2 + 1\/8*b**4 + 0*b + 0*b**3. Determine d(x(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 + 6*j - 7. Let c be w(-8). Suppose -k + 2*s + 4 = 1, -3*k = 2*s - c. Suppose 34*l = 732 - 188. Solve -k*p = p - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 5*k - 5 + 3 + 2*k**4 + 3330*k**3 - 3329*k**3 + 4*k**2 in the form x*k + a*k**4 + t + o*k**3 + q*k**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 + 4 - 4 + 4*t**4 + 3*t**5 - 4*t**4 + 2*t**5 - 2*t**5 + 2*t**5 + (2*t**3 + 0*t**3 - 3*t**3)*(t - t + t**2).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/22)\/l)\/l**(-1\/6))**(2\/13))**(1\/40) assuming l is positive.\nAnswer: l**(-1\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/7)*t\/((t**(-1\/44)\/t)\/t) assuming t is positive.\nAnswer: t**(667\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*w - 5 = -4, -3*z = w - 19. Let l = z - -110. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29109 and 10964703.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -4. Let o = u + -6. Which is the third smallest value? (a) o (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/7)*y*y)\/(y*y\/((y\/y**(2\/5))\/y)))**(-1) assuming y is positive.\nAnswer: y**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313 + 2030?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/4 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58981 + 2?\nAnswer: -5897a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2391466 - 0.94011?\nAnswer: 0.2990366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 1. Let x be v(9). Let t(o) = o**2 + o + 6. Let k be t(-7). Let l = x + k. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-1\/2))*z)**(-19) assuming z is positive.\nAnswer: z**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/5 + 48*g**3\/5 + 228228*g**2\/5 + 23051952*g\/5 = 0.\nAnswer: -154, 0, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -5, 29, 97, 211?\n\"Answer: 2*z**3 - z**2 + z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/18 + (-24)\/16. Let s(t) = t**3 - 4*t**2 - 6*t + 4. Let z be s(5). Let p = z + y. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -63. Let o(p) = -3*p**2 + 3*p - 2. Let y be o(3). Let n = w + y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.05735.\nAnswer: 0.02294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41080.8 minus -156.2084?\nAnswer: -40924.5916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1, 4, -2\/679, -4?\nAnswer: -2\/679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57*1232\/(-8360)*(-5)\/(-33)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 2. Let o be x(2). Let d be (o + 0)\/(8\/(-4)). Solve -2*s + 6 = -d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32442140 (base 5) to base 13.\nAnswer: -9ab33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 7*u + 7. Let f be s(4). Suppose -3*d - 135 = 4*q - q, -5*d = 4*q + 223. Let k = d + 47. Sort 2, f, 5, k in ascending order.\nAnswer: f, 2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 46*r**2 - 47*r - 92. Let l be m(-45). Let i = -3.5 - -4. What is the nearest to l in -3, -2\/13, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-15) - (-20)\/(-25). Let y be (-28)\/(-21)*(-4 - 17\/(-4)). What is the closest to y in b, -4, 0.2, -0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-10) - ((-35)\/(-25) - 1). Which is smaller: 1\/42 or q?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(3\/2 + -1). Let j be (-578)\/153 - -1*2\/(-9). Suppose 3 + 1 = -k, 4*k + 14 = 2*m. Sort j, q, m.\nAnswer: j, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, k: 5}. Give prob of picking 1 k and 1 o.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13423385?\nAnswer: 5, 59, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2214\/369 - (213\/(-30))\/(-1))*(5 - 1)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -523 and 0.3?\nAnswer: -156.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21748 is divided by 21747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.32, -2, 1\/4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-16)\/(-6). Let i(k) = k - j*k**2 + 0*k**2 + 0*k + k**3. Let p(h) = 2*h**2 + 2*h - 1. Let v be p(1). What is i(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*q = 2*l - 3710, l - 2*q = 3704. Find the third derivative of 2*m + 3747*m**6 - 1 - l*m**6 - m**2 + 1 wrt m.\nAnswer: 5640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from ooohhoooozohoooo.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100\/6 - 8\/72*15. Let q = 0 - -6. Let s be -2 - (y\/q + -4). What is the third smallest value in -0.2, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -6.2. Let v = -0.804 - p. What is v rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -10, -9, -8, -7, -6?\n\"Answer: x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -981.7 * -120.\nAnswer: 117804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 736607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 2117697*n.\nAnswer: -3*n*(n + 705899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1261*q**2 + 1254*q**2 - 2515*q**2 - q**3 + 387 - 387.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 31\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1854 and 154312746.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/78 and -73\/1638?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.8. Let z be (30\/28 - 1)*-2. Let x = -0.22 - -0.12. What is the nearest to x in z, d, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.97 - 28. Which is the biggest value? (a) 3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1104776802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -417791*x**3\/5 - 2005397*x**2 - 60161928*x\/5 - 144\/5.\nAnswer: -(x + 12)**2*(417791*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 239, 474, 711, 950, 1191, 1434?\n\"Answer: l**2 + 232*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 80. Sort o, -1\/6, 0.1 in ascending order.\nAnswer: o, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 18\/(-8). Let c be 0\/(a*(-1)\/(-1 - -3)). Suppose -12*z + c*z = -720. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*g - 60, 21*p + 2*g = 19*p - 16. Factor 2\/9*t**5 + 2*t**3 + 4\/9*t + 0 - 14\/9*t**p - 10\/9*t**4.\nAnswer: 2*t*(t - 2)*(t - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 9*j + 26. Let u be (32\/(-12))\/j - (-4)\/(-6). Which is the fourth smallest value? (a) -14 (b) 0.5 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 1. Let s(t) = 6*t**3 + 5*t**2 + 4*t + 8. Let b(i) = 5*q(i) + s(i). Let v be b(-4). Solve -v*l + 5 = -8*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347553?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 2) + -7 + 10 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 4*r + 13. Let g(u) = 6*u**2 + 5*u + 13. Give -4*g(l) + 5*x(l).\nAnswer: l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:41 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3198 and -29\/173307.\nAnswer: 4505982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2) + sqrt(44)\/sqrt(4) + 5 - (-2 + sqrt(11)*1*6))**2.\nAnswer: -42*sqrt(11) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211382, -211387, -211394, -211403?\nAnswer: -211414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8540 - 9855 = -283*f for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(-5*12\/600)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 496 - 475. Suppose -35*i + 38*i - n = 0. What is the remainder when 9 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4830775508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 82*r - 389. Let y(k) = 66*k - 391. Let v(z) = -4*j(z) + 5*y(z). Let m(x) = 7*x. What is m(v(n))?\nAnswer: 14*n - 2793","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l**4 + 5\/6*l**3 + 0 + 0*l - 3*l**2 + 1\/60*l**5 - 7\/120*l**6. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**5 - 290*z**4 + 32940*z**3 - 814590*z**2 + 6237945*z = 0.\nAnswer: -123, 0, 21, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 76 = 19*m + 4*p, -28*m - 95 = -5*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*z - 1152 = -123*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(-159)\/((-10176)\/(-2560))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/4 + 25*c**3\/3 + 133*c**2 + 14*c. Differentiate g(l) wrt l.\nAnswer: -6*l + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:25 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brbb when four letters picked without replacement from {r: 2, b: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*l + 1 + 40*l + 36*l - 167*l + 41*l in the form x*l + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 5*v**3 + 10*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 48. Let y(k) = k**3 - 5*k**2 + 5*k - 9. Calculate the remainder when y(6) is divided by p(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 1204834, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/5463098?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 9*v + 2*v + 2*v. Let j(t) = -t. Calculate j(k(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + h - 11, 0 = -0*d - 4*d - 3*h + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10475 + 3065 = -5*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(11214\/356*(-2)\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 101.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 3*n. Let g be f(3). Let p = -1442\/9 + 160. Which is the smallest value? (a) p (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 - 21*a**2 + 11*a**2 - 2*a - 3*a + 0*a in the form y*a**3 + g*a**2 + r*a + k and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -398, -597, -796, -995, -1194?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269235554?\nAnswer: 2, 3, 211539259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5417226.98505 + -0.23?\nAnswer: -5417227.21505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -332 in -0.6, 2\/9, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 8*g - 15. Let q be m(5). Let y be (-124)\/q - (-4)\/(-30). Solve -10 = -y*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzhhhzzhzzhzzhzzzz.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.154 + -0.654. What is the nearest to f in -4, 3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 a when four letters picked without replacement from aauizcaarczazaaiaa?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - k**3 - 3*k**3)*(2 - 3 - 2) + 0*k**2 + 0*k**2 + k**3 - 35*k**3 - 9*k**3 + 14*k**3 + 2*k**3 + 4*k**2 - 4*k**2.\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -5 (c) 2 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 1172*l**3 + 8302*l**2 = 0. What is l?\nAnswer: -593, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(3 - 8\/6). Let q(b) = 2*b**2 - 11*b + 4. Let d be q(y). Is d\/((6\/1746)\/(1\/(-3))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 24\/5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*m - 46 = 3*m, -3*d + 2*m = -31. Suppose d - 15 = y. Let i(o) = -o**2 - 5*o + 8. What is i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108497454.\nAnswer: 2, 3, 13, 1390993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10\/(b\/b**15*b)*(b\/(b*b**(15\/2)*b*b))\/(b**(5\/8)*b) assuming b is positive.\nAnswer: b**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224480888 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1)*(1 + 3 - 3)*(-4 + 5 + 0 + (-2 + 0 + 0)*(-3 + 0 + 2)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(9800\/208) + (-6)\/(-15)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s = 80*s - 177*s + 1241 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 15 = -2*f - 5*g, -5*g + 85 = 5*f. Which is smaller: f or 24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*25*21\/84?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70\/6720*(156\/(-130))\/(3\/(-5))\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + u - 5 = -4*k, -4*k - 5*u - 7 = 0. Let v be 0\/k*(-2 - 1)\/(-6). Suppose 7*l - 3*l + 22 = 2*b, v = 4*b + 5*l - 5. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8231*a - 98724. What is s(12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, 2\/9, 12, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 344914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -45. Let v = -8 - -11. Suppose 0 = v*f + 2*f. Solve 3*k + f*c - 2*c = 10, -j*k = c + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2296587989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyyzyzzzzy. What is prob of picking 3 y and 1 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus 23543589578?\nAnswer: -23543589587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u + s = 53*u, 2*u - 16 = 3*s for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -1, -6, -2\/9, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 o when four letters picked without replacement from {x: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 + 8*m - 3. Let g be h(5). Suppose -c = g*c - 360. Round c to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000032299 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*m + 5 + 1, -2*p + 2*m - 4 = 0. Suppose 5*c - 2*h - 642 = c, p = 4*h + 4. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 + 3*j + 2. Let c = -18 + 15. Give m(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -4*d**4\/3 - d**3\/3 + 6*d**2. Is b(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let a(m) = -m**2 - 8*m - 6. Let g be a(-7). Let c(w) = 1 + 57*w - g - 50*w. Determine n(c(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 10:39 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2)*-15)\/(-24). Let o = k + 23\/48. What is the closest to -0.1 in o, 2\/3, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145388291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 not equal to 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 1, -16, -2, -4, 4 in decreasing order.\nAnswer: 17, 4, 1, -1, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 z when four letters picked without replacement from vztczvzcvtztcv?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 44. Let l = 0.51 - 3.81. Let p = t + l. Which is the biggest value? (a) 3 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*q**3 + g**3*q**2 - 55*g**3 + 2*g*q**3 + 9*g - 2*q**3 wrt g?\nAnswer: 12*g*q**3 + 6*g*q**2 - 330*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k + 8. Let g be u(-6). Suppose 4*y - g*y = -8. Let t(b) = b**2 + 3*b - 4. Let i be t(y). What is the nearest to 0.2 in 2, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -125, -122, -119, -116?\n\"Answer: 3*i - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3071*d**2 + 30*d - 98 wrt d?\nAnswer: -6142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110a88 (base 13) to base 15\nAnswer: 7e021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 2:27 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230800 divided by -8.\nAnswer: -28850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.0269\nAnswer: 0.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 954 - 928. Which is the closest to -3\/4? (a) 2 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12699876 divided by 4233292.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + (7 - 13) + 5) - 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -17. Let q be ((-1)\/7)\/(v\/11). Which is the smallest value? (a) -0.5 (b) -2\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994479 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: -66507400759+-2\nAnswer: -66507400761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -r + 2*m, -3*r + 4*m - 8 - 14 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12\/(t\/t**(-7\/4)))**23 assuming t is positive.\nAnswer: t**(851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10535 - 10536. Which is the closest to 0.04? (a) r (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 11 + -13 + 4 + (1 - -26)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**3 - 7*q - 7. Suppose 3*p = -7 - 35. Let k(b) = -4*b**3 + 2*b + 2. Determine p*k(h) - 4*n(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(3450\/(-72)))\/((-9)\/15)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059041 times -4?\nAnswer: -0.236164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20676*x + 21902. Let p(o) = -4597*o + 4867. Let q(a) = -5*g(a) + 22*p(a). Differentiate q(s) with respect to s.\nAnswer: 2246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-9))\/((-4)\/(-6)). Suppose -12 = 2*y - q*y. Find the third derivative of -6 + 27*x**3 + 4 + 11*x**2 + y wrt x.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4)\/(sqrt(242) - (sqrt(242) + sqrt(242)*3 + sqrt(242))) + 2 + (sqrt(150)*3 - sqrt(150) - sqrt(150) - sqrt(150))\/sqrt(3) + 1)**2.\nAnswer: 15*sqrt(2)\/22 + 8737\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3358*k - 1229*k + 3 to the form m + q*k and give q.\nAnswer: 2129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2764.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338375507?\nAnswer: 227, 1490641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1669*r + 829*r + 23 + 836*r.\nAnswer: -4*r + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0 + 1 - 2 - 3 + 3*g. What is the units digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m - 18. Let v be (-16)\/m*(-54)\/36. What is the smallest value in v, 4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/328? (a) 2\/9 (b) -4 (c) 1\/7 (d) -4\/255 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 27657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -17 (c) 5 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7895 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -3344675?\nAnswer: 3344665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*h - 13, 3*v + h - 7 = 3*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6459 is divided by 919?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 - 69674*h + 209011. Determine a(3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008219912 - 3?\nAnswer: -3.008219912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -70 + 78. Let g(j) = 6*j**3 + 2*j**2 - 2*j + 1. What is g(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-40)\/6)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h. Let w(x) = -19*x + 1. Let d(b) = -7*k(b) + 4*w(b). Let u be d(-2). Calculate the greatest common factor of u and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96764\/(-12807))\/(20\/(-24)*(-8)\/(-10)).\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 5*f**2 - 2*f**4 - f**2 - 3*f**4 - f**4 + 2*f**4 + 0*f**4 + 3*f**4 - 5*f**4 + (-2*f**3 + f**2 - f**2)*(0*f + 3*f - f).\nAnswer: -10*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4940.995 to 0 decimal places.\nAnswer: -4941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 2*u**4 + 1585*u**5 - u**4 - 1583*u**5 + (0*u**2 - 6*u**2 + 0*u**2)*(u + u**3 - u).\nAnswer: -4*u**5 + u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 4 - 4. Suppose 0 = 117*c - 112*c. Let f(i) = -6*i + 60 + c*i - 60. Give k(f(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*l - 17 = 19, -3*l = 3*d - 36. Let r be 180\/(-27)*18\/(-4). What is the greatest common divisor of d and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 3 - 11*u in the form t + j*u and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1 - 5 - -2) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 5*f**2 + 4*f - 7. Let q(y) = y**3 - 8*y**2 - 9*y - 6. Let m be q(9). Determine n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35325?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w. Let r(j) = 105*j**3 - 42*j**2 + 42*j. What is -42*n(l) - r(l)?\nAnswer: -105*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Differentiate -3*n**3 + 4 + 2*n**y + 1 - 2 wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d745e9 - -4?\nAnswer: d745ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -66698 + 37670.1?\nAnswer: -29027.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006098 - -0.1?\nAnswer: 0.093902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggjgggggg. What is prob of picking 1 j and 3 g?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24170 is divided by 8053?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17466\/11644*(-2)\/18*(-36)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 2*i**2 + 2*i - 1. Let t be j(-2). Sort t, 4, -4 in increasing order.\nAnswer: t, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 8*f - 70 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11430000 to the nearest one hundred thousand.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 5 = -5*r, -r = 5*h - 1. Let i(v) = v - 1. Let m(c) = c**3 - 4*c**2 + 1. Let p(k) = r*m(k) + 5*i(k). Give p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 0.2. Let b = -7.6 + 7. Let g = b - -0.5. Is g less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 141390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:32 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 671 = q + 87, -1 = -b. What are the prime factors of q?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*c - 2*s, 0 = -5*c + s + 973 - 987 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s - 2 + 4*s + 3)*(0 - 564496*s - 23 + 564507*s) to the form c*s + p + m*s**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 448 - 350.1. Let h = -98 + z. What is the nearest to h in -2, 1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7023\/5792 - 250\/181. Calculate the common denominator of l and -93\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91585 is divided by 619.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 2*m = 279, 0 = n + 2*m - 101. Suppose y + 5 = n. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/15 (b) -9154 (c) -0.1 (d) -1\/2 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-2\/13))\/f))**7*f**(-13)\/(f**(5\/4)\/f) assuming f is positive.\nAnswer: f**(-269\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/702 and -17\/1014.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/2))\/c**(1\/5))**(-24\/7)\/((c\/(c*c**(-1)))**(-2\/31))**(-5) assuming c is positive.\nAnswer: c**(-5186\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.039, -0.02, -0.178, -4\/5?\nAnswer: -0.178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -14*d**5\/55 - 10*d**4\/11 - 2*d**3\/3 + 2*d**2\/11 + 302. Solve h(c) = 0 for c.\nAnswer: -2, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.1 - -54. Let x = 2 - q. Let t = 2.90000036 + x. What is t rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x - 360. Let s(z) = -z**3 - 65*z**2 - 126*z + 40. Let j be s(-63). What is the greatest common divisor of x and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1095)\/22265)\/(1\/(-1)).\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y + 360. Let p(r) = -4*r + 179. Let o(g) = 6*j(g) - 13*p(g). Calculate the smallest common multiple of 13 and o(43).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 156\/25, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -51?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 218*n. Let p(l) = -3 - 1253*l + 3 + 1255*l. What is k(p(y))?\nAnswer: 436*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 3) + 3 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*l = -877, 6*g - 2*g + 1156 = -4*l. Let u = g - -315. Calculate the greatest common divisor of 408 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 + 3*w + 3. Let v be (-10 - 0\/(-2))\/(-1). Suppose 3*n + 5*p + 14 = n, 0 = -5*p - v. What is the units digit of a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*q**3*t**2 - 38*n*q**3*t - 25*n*q*t + 3*n*t - 5*q**4 - 2*q**2*t**2 wrt q?\nAnswer: 12*n*t**2 - 228*n*t - 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239417963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*r - 38*r - 6*r**3 + 6*r**2 - 45*r as x*r + f*r**3 + o + b*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 13*j**2 + j - 3. Calculate the least common multiple of 2 and a(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from rpprprpprrppprrfpp?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-2 - 3) - -4) + 96 + -2?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -11.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*q - 3, -4*s - q + 0 = -1. Let x = 96346 + -96324. Solve -2*y = -4*i - x, -4*y = 4*i - s - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1035, -521, -19, 465, 925?\n\"Answer: -s**3 + 521*s - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1914 = -474. Suppose 0 = -5*n + y - 13. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/3 - 18*j**5\/5 + 23*j**4\/2 - 10*j**3 - 251. Factor o(t).\nAnswer: 2*t**2*(t - 5)*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*v + 162*v + 45*v as o + c*v and give c.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-254)\/1596)\/((900\/(-14))\/(-15)) and -19\/72?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 3. Let m(z) be the first derivative of 5*z**2 + 43. What is n(m(v))?\nAnswer: -300*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*r + 9. Let b = r - 9. Solve 7 = 2*l - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*s + 6 = -6*p, 4*p - 5*s + 3 = 0. Let c = 2 - 5. List the prime factors of (2 + c\/p)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402202665 times 0.1?\nAnswer: -40220266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -44573.\nAnswer: 2\/44573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103672331 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 9*x + 49 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -4357.\nAnswer: -86\/4357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1659756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 m when four letters picked without replacement from {m: 9, o: 11}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*c**2 + 125*c**2 - 53*c**2 - 29 + 10*c**3 to the form x*c**2 + g*c + w*c**3 + l and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(0 - 1 + 2) + 4 + 1 - 4)*(0*f**3 + 0*f**3 - 4*f**3).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -x + 53. What are the prime factors of x?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from {v: 4, c: 1, a: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o*o*(o\/(o\/o**(1\/10)))\/o))\/o*o*o*o)\/(o\/o**(-1))*(o*o**(-1\/4)*o)**(-49))\/(o**(-2\/13)*o*o**(3\/7)*(o**(-1))**(1\/5)) assuming o is positive.\nAnswer: o**(-154563\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:59 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7000101 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:48 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13 - 7) + -7 - -26) + (-86 + 2 - -2)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.193 - 4.193. What is the second smallest value in -0.031, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let h = 9 + -7. Let k(g) = 2 - 5*g + 12*g - h. Determine k(u(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-50)*(-7 - 8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1501007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2469 divided by -16\nAnswer: 2469\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -520. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2836\nAnswer: 1\/1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336200, 1344770, 3025720, 5379050, 8404760, 12102850?\n\"Answer: 336190*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 46. Let l = u - -14.128. Let d = 0.015 - l. What is d rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 4 = 16*o. Is -2\/3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -174, -140, -86, -6, 106, 256, 450?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126302 to the power of 1\/2, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let m = 90 - 53. Let d = m - 36.9. What is the smallest value in -0.4, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10002331 + 2?\nAnswer: -10002323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*16\/(-108)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 22105280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17942 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {u: 3, i: 3, l: 3, p: 1, j: 2, e: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i - 2*i + 482*o - 484*o, -5*o = 4*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.648782 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2661980 and 35865?\nAnswer: 23957820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*r**3 - 2 + (0 + r**2 + 0)*(4 + 2*r - 4) - 89*r**3 - 77*r**3 + 279*r**3 + (2*r**3 - 2*r**3 + r**3)*(-1 + 1 - 1))*(-5*r + 2*r - r).\nAnswer: -464*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3367, 3409, 3451, 3493?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-66)\/(-9))\/((-4)\/6). Let v(q) = 3*q**2 - 8*q - 2. Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1342086692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v + 1. Let b = 131 + -136. Let h(t) = 7*t**2 + 8*t + 25. Let f(w) = b*x(w) + h(w). Differentiate f(s) with respect to s.\nAnswer: 4*s + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*g - 797243 + 5399393. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 9. What is the least common multiple of l and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 2*i, 0 = -2*i - 10. Let o(k) = k**3 - k**2 - 4*k + 3. What is o(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*30\/105*1*3\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1472524, -1472522, -1472520, -1472518, -1472516?\nAnswer: -1472514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 142\/(-4). Suppose t - 6*t = -k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 48, 29, -44, -189?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:25 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -258, -10\/13, 383?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234, -467, -700, -933, -1166?\n\"Answer: -233*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15626*g + 2*g**3 - 7*g**2 - 15624*g + 0*g**3 to the form d*g**3 + y*g**2 + u*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 21.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 88*i**2 - 4*i + 8. Let z(k) = -88*k**2 + 5*k - 10. What is -5*s(h) - 4*z(h)?\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -183 + 251. Calculate the greatest common divisor of 3332 and r.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-19))\/q**(-2\/63))**(-1\/27) assuming q is positive.\nAnswer: q**(1132\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**3 + 112 + 2*f - 2*f**2 - 116 + 7*f**3 + 6*f**2 to the form o*f**2 + p*f + g*f**3 + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let p(g) be the second derivative of -4*g**4\/3 - 16*g. What is o(p(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 4*p**2 + 6*p + 2. Let y be o(-5). Sort 12.7, y, 1\/6 in increasing order.\nAnswer: y, 1\/6, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 - 0)\/((-2)\/(-4)). Suppose 4*r - 250 = -2*d, -d + 79 + s = 4*r. Suppose 2 = m - 17. Calculate the highest common factor of d and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 40. Let r = 46\/3 - 17. What is the nearest to -2 in 5, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 33 = -22*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:33 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55154 is divided by 11030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1218 - (0 + 1)) + 4. Let v = r - -2043. Suppose v = 4*f - 1168. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 - 672067*q**2 - 16130040*q - 96781104 = 0.\nAnswer: -12, 672091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/27)\/(13475\/(-165)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = -2*b + 178, 5*b - 454 = 4*w. Let t = 0 - -3. Suppose -t*v + 46 = v + 2*x, -4*v + 4*x = -28. Calculate the highest common divisor of v and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822957881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 13*o**2 - 14*o + 20. Give c(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 40. Let i = -41\/2 + n. Let v = -50155\/8 + 6278. What is the common denominator of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 + 247)*(-2*h + 0*h - h).\nAnswer: -738*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*x - 29, q - 3*q = -3*x - 32. Let c be 2\/q + (-82)\/26. Put -1, c, 3 in decreasing order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 2*z - 1, 0 = 6*o + 5*z - 27. Solve -o*g = -3*b - 5, 2*g - 3*b = -7*b - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 1247*m + 5197*m**3 - 5215*m**3 + 2*m**2 + 1247*m.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(((-6)\/(-20))\/(-1)). What is the greatest common factor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/6045)\/((-14)\/(-63))*(-10)\/8?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-4)\/48*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 572 - 54. What is the highest common divisor of 74 and l?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1739, -1, 74?\nAnswer: 1739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8331668?\nAnswer: 2, 2082917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3702 is divided by 127.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + (-4 - -1) - -1. Let z(y) = -y**3 + 8*y**2 + 3. Let r be z(p). What is the third derivative of r*h - h**6 - 3*h + h**2 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*z + 413, f - 37 - 33 = -5*z. Suppose 3*u = 38 + f. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*p**5 - 231423*p**2 + 20079*p - 4600?\nAnswer: 6700*p**3 - 462846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341290631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066529 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 20*i = 10*i - 60384. What are the prime factors of i?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3327 (base 8) to base 4.\nAnswer: -123113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (55\/2)\/5*(-2*3)\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1778\/779 or -21.7?\nAnswer: -21.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 0.3. Let f = d - -0.1. Sort f, -0.4, -0.04 in descending order.\nAnswer: -0.04, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/3, 1, -4, -392?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.2 times -4?\nAnswer: -224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 51064500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/6 - 0). Let g be (-2 - -3)\/(f\/(-36) - 0). Let b be 3 - ((-1830)\/g - 2\/(-6)). What is b rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/(594\/27))\/(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225234 (base 6) in base 8?\nAnswer: 45566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 2*z + z)*(-4 + 3 + 0) - 60 + 60 - 16*z as g*z + p and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 4*h + 24, -2*a - 11 = 3*h. Solve -2 = a*l + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5432 by 97.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/(r**(9\/5)\/r) assuming r is positive.\nAnswer: r**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 30 = 3. Let v(m) = m**3 + 11*m**2 + 9. Give v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 462 + -1345. Let m = -465 - a. Let p = m + -418.303. Round p to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559 minus -0.42509?\nAnswer: -1558.57491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 3, g: 5}. What is prob of picking 3 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20724.401917 + 20755.352. Let b = -397.949826 + y. Let j = b + 367. What is j rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 15. Let g be c(-12). Solve 5*z - g*d = 7, z - d = -2*d + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11429699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. Suppose 0 = 5*j + 2*j - 490. Let n be 1 + -4 + j\/21. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2212 or 15474\/7?\nAnswer: 15474\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 117.6766 centuries?\nAnswer: 11.76766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1346+-219127050520\nAnswer: -219127051866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 115*y - 250.\nAnswer: 5*(y - 2)*(y + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-3)\/(-15)). Suppose -18 + 8 = c + 5*q, -8 = 5*c + 4*q. Let d(a) = a**2 - a + 5. Let p be d(c). Solve 3 = p*w - y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.131117 and 5.69?\nAnswer: 0.74605573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 30\/33613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + p + 16 = -7*d, 2*p = d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, d: 12}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168.3 + -237. Let y = 75 + x. Let q = -6.337 + y. What is q rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0306813*177.\nAnswer: -5.4305901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. What is s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10720, 21460, 32214, 42988, 53788, 64620, 75490, 86404?\n\"Answer: q**3 + q**2 + 10730*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2248 (b) 1\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 - 9*f - 1. Let v = -3289 - -3283. Determine a(v).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5780 and 1246780?\nAnswer: 21195260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -464*o + 475*o + 86, -6*w = 4*o + 44 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -435511, -435516, -435521?\n\"Answer: -5*k - 435506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010477 rounded to 6 dps?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(12) + sqrt(1764)\/sqrt(3))*-5)**2.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -22*f - 36 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, o: 7, t: 1, d: 1, f: 2}. What is prob of picking 1 f and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*t + 8, 4*a - 2*t = -3 - 1. Which is smaller: -7\/54 or a?\nAnswer: -7\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from bbbbbbbbzbbzbzbb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*z - 5102 - 13919 = -143*z - 5217 for z.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:59 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -328*n + 161*n + 3*n**2 + 3*n**2 + 168*n + 4. Let z(u) = -9*u**2 - u - 6. Let q(f) = 6*f - 1. Let p be q(-1). Calculate p*h(l) - 5*z(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6 (c) 0.37 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 - 811 = 554*d + 67*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4 - 0)*14. Let d = 6 - p. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose f = 3*q + 3, 0*t - 2*t = -q + 7. What are the prime factors of (t\/6)\/(2\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 850 divided by 50\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7313.426ml?\nAnswer: 7.313426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2513959 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*g - 2*x + 6 = 0, -x = -2*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let n be (w\/3)\/((-2)\/36). Suppose 5*p + n*c - 38 = 2*c, 3*c + 18 = 4*p. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 6*g + 4. Let j = -151 - -155. What is f(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 1715013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d - 6 = 0. Find the common denominator of 67\/22 and (-8)\/36 + (5\/9 - d).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717 = -23*j + 157. Calculate the remainder when 111 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000110110010010101 (base 2) in base 12?\nAnswer: -75a019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 95 (b) -2\/5 (c) 3 (d) 0.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9164, -9274, -9382, -9488, -9592?\n\"Answer: c**2 - 113*c - 9052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(2 - (-22)\/77*-14). Put -73, v, 3, -13 in decreasing order.\nAnswer: v, 3, -13, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(20)\/sqrt(2)) - (sqrt(126)*-1 + sqrt(126)))\/(sqrt(18)\/sqrt(36) + (-1*sqrt(200) + sqrt(200) - sqrt(2))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36641.\nAnswer: 11, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -69 - (-4 + -17 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -40. Suppose 90 = m*k - 7*u + 2*u, u - 50 = -3*k. Suppose 3*n = 5*p - k, 5 = 5*n - p + 4. Calculate the highest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -1745?\nAnswer: 31410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + sqrt(3388)*-3 + sqrt(3388) - (5*sqrt(3388) + 5)) + 2)**2*-4.\nAnswer: -3984312 + 7392*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944*m + 912*m - 3*m**3 - 2799*m + 943*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239 - 219. Let n be (5*(-4)\/(-25))\/(4\/10). Solve n*c - g = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12 - -9 - (3*(-2 - -3) - 49486)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*h = -58 + 11, 2*y = 4*h + 34. Suppose -y*b - 426 = 42. Let p = 61 + b. Solve -2*v + p + 0 = g, -2*g = 2*v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 96, -2 in decreasing order.\nAnswer: 96, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + -1 - (-13 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-130) + 186\/26. Let b(k) = -k + 0*k + 5 + 2*k**3 - n*k**2 + 8*k. List the prime factors of b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(99)\/(sqrt(36)\/sqrt(4)))**2 + sqrt(11) + 0 + (1*sqrt(1331)*1)**2 + sqrt(1331) + 3.\nAnswer: 12*sqrt(11) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2 + 6, g = y - 13. Find the common denominator of (6\/y)\/((-35)\/196) and 71\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.813 + 0.03.\nAnswer: -26.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - u**4 - 3*u**2 + (-10*u**3 + 4*u**3 + 0*u**3)*(-u - 3*u + 5*u) in the form k + s*u**2 + z*u**4 + t*u**3 + c*u and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -152. Let f be (-4 + m)\/(-2 - -1). Solve 2*x - h = 3*h + 20, f = 5*x - 4*h - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110110000011110000111?\nAnswer: -110110000011110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099407 to the power of 1\/2, to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 161*w**3 + 49*w**2 + 49*w - 49. Let a(z) = 10*z**3 + 3*z**2 + 3*z - 3. Let m be 5\/(50\/(-520)) - -3*1. Give m*a(j) + 3*t(j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 12*u**2 - 14*u - 14. Is 11 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13*2\/((-38)\/(-1083)). Which is greater: 732 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wltqoio?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/4 + o**3 + o**2 - o + 2. Give r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 18603645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose 0 = -p*y + 9, 3*d + 0*d + 4*y = 30. What is the third derivative of -9*l**d + 5*l**2 - 6*l**6 + 17*l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -3 - -7 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(117) + 2*sqrt(117))*-3*3)\/(sqrt(9) + sqrt(36)*3 - sqrt(63)\/(sqrt(14)\/sqrt(2))).\nAnswer: -9*sqrt(13)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehbehhpwhpbhthhhh. Give prob of picking 2 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 4. Let o be n(2). Suppose f - 5*w = 23 + 104, -o*f = -w - 508. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3020211420 (base 5) to base 8\nAnswer: 26763117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 11*p**2 - 11*p - 7. Let y be r(-10). What is the first derivative of -2*f + 0*f - 4 + 2*f - 3*f**y wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*d = -18, 3*c + 3*d - 108 = -114 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*j - 1216 + 3573 + 3107 + 2022 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6673 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/20 - 3555\/(-20). Factor i - 150*d - 305 + 35*d**2 + 167.\nAnswer: 5*(d - 4)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-4 + -45 + 1) - ((-3 - -9) + -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2222 - 2204.53. Let q = d + -122.77. What is q rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 2\/7 (b) -1 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2587939045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/165 and 33\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagaaaaaaaaa. Give prob of sequence ga.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054160.\nAnswer: 2, 5, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjvvjvvjjj. What is prob of picking 3 j and 1 v?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, -1\/14, -7, -0.16?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8 and 93\/105733856.\nAnswer: 105733856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + -61 + 71\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*p**5 + 79*p**4 - 2*p**3 - 105778*p?\nAnswer: 960*p**3 + 948*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 4, d: 4}. Give prob of picking 3 n and 1 h.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6466706280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) 0.6 (b) -0.068 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-5)*b*b**(-1)\/b*((b*b*b**1)\/b)\/b assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 3*o - 3 - 4. Let w be r(5). What is the highest common factor of 144 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435982138 - 2*o + 4307946421 - 1435982139 - 1435982144.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 98, 119, 140?\n\"Answer: 21*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2198514 and 6?\nAnswer: 2198514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 456*-5\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.4743\nAnswer: 0.033201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -810, -1585, -2360, -3135?\nAnswer: -3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1354*((-3)\/(-9))\/(4\/(-6)). Suppose -515 = -4*w + a. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d - 11*d + 4*u, 0 = -d + 3*u - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1426 and 368?\nAnswer: 11408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 10. Let f = y + 16. Suppose 2*z - 4*m - 298 = f, 5*z + m + 149 - 850 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 43*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d**2 + 55439*d + 55404*d - 111201*d - 1 + (-2*d + 7*d - 3*d)*(-4 + 1 + 2)*(-6*d + d + 2*d) to the form t*d + c*d**2 + l and give t.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894, 2399, 3904, 5409, 6914?\nAnswer: 8419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/(-10)*(532\/21)\/((-1364)\/(-186)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**3 - 1853915*n**2 - 85924557200*n + 42962742080.\nAnswer: -5*(n + 92696)**2*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 10934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.689818 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194, 2374, 3558, 4740, 5914, 7074, 8214?\nAnswer: 9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 2, i: 4, m: 1}. What is prob of sequence uuii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 4. Suppose 3*l = -l + 12. Let t be y(l). Let a(h) = -h**3 - 1. What is the units digit of a(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose 22 = 3*d + u*a - 8, -5*d - 4*a = -47. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 6*i - 3*i - 5*b, -i + 4*b + 22 = 0. Solve 5*m + 8 = m, -m = -i*w + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11127*z**2\/4 + 3326975*z\/4 + 299\/2 = 0. Calculate z.\nAnswer: -299, -2\/11127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4212.943 tonnes in nanograms?\nAnswer: 4212943000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 13*q - 94. Is 22 a factor of z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*i + 22 = 2*i, 4*i - 8 = 0. Let v = 2627\/18193 - 4\/2599. What is j in 1\/7*j**l + 0 + 0*j**2 + 0*j - v*j**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - c + 36 = 27, 3*c = 5*j + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f - 57*f = -6. Let o be 1 + (2 - (f - 99)) + 3. Let c = 64 - o. Which is greater: -45 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2102 + 121210?\nAnswer: 123312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -410 - 380. What is the units digit of (0 + 2)\/(478\/h - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3020*d - 20925. What is h(7)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 98. Let l be t(-33). Suppose -19*x + 11*x = -l. Solve -x - 11 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25898*v - 76*v**3 + 25898*v)*(-4*v - v + 3*v) as d*v**4 + g*v**3 + f*v + n + i*v**2 and give d.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 1, -4323?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431002004 to the power of 1\/2, to the nearest integer?\nAnswer: 20761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943*j + 359*j + 4365 = -153*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzznn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 291636*j**2 - 5313534336*j - 79768646640.\nAnswer: -4*(j - 36462)**2*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244784.\nAnswer: 2, 202799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 1039 = 4*y + 1059, 5*o - 6 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) 20.678 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.40958l?\nAnswer: 51409.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.7 + 31.46. Let u = 195.04 + -219.9. Let i = s + u. What is i rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.4 + -48.26. Which is the nearest to l? (a) 1\/8 (b) 1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 143 - 1202. Suppose -4*w = -3*c - u, -w - 3*c + 45 = -32. Let a = 69 + w. List the prime factors of a.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) 0.09 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352996582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -77.4. Let z be 228\/(-3078)*(-18)\/10. Let f = -3.02 + 0.02. Which is the closest to -2\/3? (a) f (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*m + 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373070 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Let k = z - 4. Solve -k = 4*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312523 (base 7) in base 6?\nAnswer: -1052534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -5. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.3 + -32.3. What is the nearest to 0.4 in -19, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -x - 192, 7*x - 933 = 15*p + 9*x. Let j be (2\/4)\/(2\/(-236)). Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153 - (-25 - -88)) + (-3 - (0 + -1)) + 14.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(147))*1*5)**2.\nAnswer: 3500*sqrt(3) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/3 + z**3\/3 + 216*z**2. Determine c(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571938?\nAnswer: 2, 7, 326567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.8 + 22.8. Let x = 1\/33933 + 1662665\/1764516. Let o = x - 9\/13. Which is the closest to 4? (a) 0.4 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/440 - (5 - 5118\/1020)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208945?\nAnswer: 5, 11, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*v = 230*v + 4149 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-7) - (1 - (2 - 1)). Put 0.4, -2\/7, c, -7 in increasing order.\nAnswer: -7, -2\/7, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1169 + 0.3831. What is the second smallest value in 3, -1\/173, c, -3?\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.1, 6, 1\/4 in ascending order.\nAnswer: -0.1, 1\/4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26886570 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38a5 + -7?\nAnswer: 389a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/137 (b) 0 (c) 3.65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 - l**5 - 297*l**3 - 10*l**2 + 2008?\nAnswer: -120*l**3 - 60*l**2 - 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 2 - 5)*(1 - 3*b - 1) + 3*b + 3*b - 5*b)*(3 - 24 - 3) - 3*b - 4*b + 5*b to the form h*b + o and give h.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -0.3, -3, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:44 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -282, -359, -498, -705, -986, -1347?\n\"Answer: -g**3 - 25*g**2 + 5*g - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -50, 4, 7 in decreasing order.\nAnswer: 7, 4, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/124053 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105334000 rounded to the nearest one million?\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4691470 by 670210.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1720 and -41\/8170.\nAnswer: 32680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 6. Let r be o(6). Let m be -2*3\/r*-6. Solve 0 = -4*b + m*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13. Is 115 + -2 + 1 - a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = -4*x, -4*x - 16 - 4 = 2*i. Suppose 0 = -i*o + 5*o - 170. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.04, -3.4 in ascending order.\nAnswer: -3.4, -0.5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 296*u**2 - 85 + 190 - 105 + 933*u**2. Let q(l) = 3*l. Determine q(w(h)).\nAnswer: 3687*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5027359 divided by 5.\nAnswer: 5027359\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 30 + 2*g**2 + 3 in the form w*g + t*g**2 + b and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17452, 17451, 17450, 17449, 17448?\nAnswer: 17447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041216626?\nAnswer: 2, 520608313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 7*z - 69. Let x(q) = -2*q - 1. What is i(p) + 3*x(p)?\nAnswer: -p**2 + p - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**2 - f. Let q(i) = -61 + 182*i + 11 + 27 + 23. What is q(u(l))?\nAnswer: 2366*l**2 - 182*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 245*y**2 - 510*y.\nAnswer: 5*y*(y - 2)*(y + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24800, -49668, -74536, -99404, -124272, -149140?\nAnswer: -174008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**0)\/m)**21*m**4*m**(-1))**30 assuming m is positive.\nAnswer: m**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slp when three letters picked without replacement from qbpjssl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 68 (b) 1 (c) 27.1 (d) 3\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -557, -1108, -1659?\n\"Answer: -551*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/21 - 4\/(-14). Let p be (17\/68)\/((-3)\/12). Sort p, -5, o, 7 in decreasing order.\nAnswer: 7, p, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkf when three letters picked without replacement from {f: 8, z: 2, k: 5}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/82326483 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = j. Suppose z = -j*z + 5*a, -3*z = -5*a + 6. Let o be (3 + -2 - 1) + z. Solve -o*r - 20 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9488, 9488, 9502, 9542, 9620, 9748?\nAnswer: 9938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13975 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-54)\/(-36) - (1 + -5). What is the second smallest value in 0.5, -21, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0393533 millennia in months?\nAnswer: 472.2396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8809?\nAnswer: 1\/8809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(360\/(-48)) + -19\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*j + 21, 264*g - 266*g - j + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25*3*(-36)\/450\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -277*r**5\/5 + 79*r**2 - 174. Find the second derivative of g(s) wrt s.\nAnswer: -3324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 440\/25 - (-8)\/20. Let n = o - 14. What is the remainder when 7 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-6)\/((-9)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.204476km?\nAnswer: 204.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 13*d - 12. Let g(i) = 2*i**2 - 11. Let v be g(0). Give w(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {h: 2, y: 1, d: 1, q: 2, z: 2, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/228 and -41\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-66 - -78) + (-2 - 6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 516\/57 - (-4 + -5 + 18).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85322.35ml?\nAnswer: 85.32235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 1099386?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -433957667 divided by 3981263?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340935 is divided by 340921.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -53. Calculate the common denominator of 61\/22 and 56\/s*302\/(-42).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - 4\/30. Suppose 0 = -l + 2*j, 15 = 2*l + 3*l - 5*j. Let u be 4 - (1 - l\/(-8)). Which is the biggest value? (a) u (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 1. Let y be t(-1). Suppose 5*p = p - 4*s + 8, -5*p - y = -5*s. Which is bigger: p or -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53000 equal to -53008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 281018484 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let s = -5.87 - -6. Let p = 1.87 + s. Is q less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160394766, 320789534, 481184302, 641579070, 801973838?\nAnswer: 962368606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-12)*-4 - (-41 - 1). Suppose -2*c = -12*c + f. Suppose -3*r + 314 + 374 = c*h, 5*r = -h + 189. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3818341, -7636391, -11454443, -15272497?\n\"Answer: -j**2 - 3818047*j - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(405) - 3*sqrt(405) - (sqrt(605) + 0 + sqrt(605))) + 1 + 2 + sqrt(45) + -1)**2*5.\nAnswer: -4440*sqrt(5) + 205470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 3630. Let h = z - 3646\/5. Find the common denominator of h and -3 - (0 + -2) - -35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/120 + d**5\/60 - d**4\/24 - 2*d**3 + 19*d**2. Calculate f(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5405 is divided by 1787?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4 - 2*z + 3 + 0*z. Let n be t(1). Let a = -0.103 + 0.303. What is the third smallest value in a, n, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -494 - -494. Factor 1\/5*y**5 + 0 - 2\/5*y**2 - 3\/5*y**3 + w*y + 0*y**4.\nAnswer: y**2*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.4. Let q = -6 - -7. What is the nearest to f in 2\/15, -4, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3983 centuries in years?\nAnswer: 7139.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*3)\/(sqrt(160) + sqrt(160)*3).\nAnswer: 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/(-48)). Let o = 6893 + -6869. Let v = o - u. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 1. What is the lowest common multiple of 8 and r(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -22*n + 24*n - 15, 4*n + 3*z = 33. Suppose -n*p + 364 = 4*p. Let b = 373 - 233. What is the greatest common divisor of p and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 10068*q**2\/11 + 50390*q\/11.\nAnswer: -2*q*(q - 5)*(q + 5039)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135.87 + 138. Let p = i - 1.13. Which is the closest to 3\/8? (a) p (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1968, 1969, 1970, 1971, 1972, 1973?\n\"Answer: v + 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653248 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8000579 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -91346.51 != -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319303 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -45*b**2 + 21*b - 42. Determine q(3).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -946, 0, 12, 2, 8.\nAnswer: -946, 0, 2, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -445043 and -445041 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 19*p**2 + 2*p + 1. Suppose -2*i = 4*u + 4, -2 = u - i - 1. Is m(u) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 1273*n - 7674.\nAnswer: (n - 6)*(n + 1279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/529676435 or -1?\nAnswer: 2\/529676435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/98171?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 9 = 6*q - 2*q, -4*j = 2*q + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90657, -362635, -815931, -1450545, -2266477, -3263727?\nAnswer: -4442295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 + 278061*t**3 - 1946550*t**2 + 2224704*t + 4449312 = 0.\nAnswer: -92694, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74960 and 22642605.\nAnswer: 4685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2958 and 272.\nAnswer: 23664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1409 and 0.13707?\nAnswer: -193.13163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.043 from -0.4.\nAnswer: -0.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6, g = u - 0*g - 6. Suppose 3*m - 4*h - 82 = -20, 2*m + h = 45. What is the smallest common multiple of (-3 + 2)\/(u\/(-12)) and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-6) - (-6)\/(-18). Suppose -18 = -d + q. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374057549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xkwkxkkkxxkkkkwx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76482198?\nAnswer: 2, 3, 13, 108949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2110?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let m(x) be the first derivative of -x**2 - 3. Give q(m(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 23*q = 25*q - 136, -4*o = 2*q - 108. Solve 50 = -26*g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83199.899 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -127377.\nAnswer: -127376.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:56 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 - (-1 + -1). Let h be ((-2)\/10 - -1)*-5. Let c(u) = -u**3 - 4*u**2 + u + 5. Let b be c(h). Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 267 and -37396?\nAnswer: 37663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63 from -100828851.42.\nAnswer: -100828788.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 - p**2 + 1. Let a be v(-1). Suppose -7*h - 5 = 16. Sort a, h, 4.\nAnswer: h, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*t**3 + 53*t**3 + 57*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 - 688241448*d - 29604768171571044 = 0.\nAnswer: -86030181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at most as big as 8014080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 + 449*l**4\/2 - 11703*l**3\/2 - 186404*l**2 + 4355162*l + 42822864 = 0. Calculate l.\nAnswer: -49\/2, -8, 34, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let w = 14549\/6 - 2426. Let b = -2\/9 + 19\/45. What is the third biggest value in k, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10 = -2*c, -10*c + 25*k + 22 = 21*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.5773km in nanometers?\nAnswer: 243577300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167865, 335773, 503689, 671613?\nAnswer: 839545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.003 + 0.003. Suppose 3*z = -2*y + 13, -16 = 3*y - 5*z + 12. Sort y, -3, 0.3, o.\nAnswer: o, -3, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125940 (base 11) to base 9.\nAnswer: -331684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 206588.5975 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 16*y - 100. Give i(-16).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1eb (base 16) to base 9\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -31, 56, 221, 488?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2530660 to the nearest 10000.\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n**2 + 16*n**2 - 9*n**2.\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6677 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 o when three letters picked without replacement from {j: 5, t: 3, n: 1, o: 4, e: 5, q: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)\/(z*(z**(1\/7)*z)\/z))\/(z**(1\/4)*z)**(-2\/57))\/((z*z*z\/z**(-2\/13)*z**(-9))\/(z**0\/(z**(-3\/8)\/z*z))) assuming z is positive.\nAnswer: z**(191801\/41496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14268 * 0.4.\nAnswer: -5707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/15))**(-2\/3)*k*(k\/(k**10*k))\/k*(k\/(k\/(k\/(k*k**(-2\/35)\/k))*k)*k)\/k assuming k is positive.\nAnswer: k**(-3188\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(2\/27)*z))*z)\/z*z**4)\/(z\/z**(-2\/3)*z)**(15\/2) assuming z is positive.\nAnswer: z**(-403\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 704?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:50 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 669, -2\/7?\nAnswer: 669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -19, -75, -185, -367, -639, -1019, -1525?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 6 = 2*l, 4*l + 5*r = 10*r + 18. Calculate the smallest common multiple of l and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/44 and 15\/4*116\/10?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/213, 1\/22, -8, -0.33 in descending order.\nAnswer: 1\/22, 2\/213, -0.33, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 137262 (base 11) to base 9\nAnswer: 356335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f + 128. Suppose -f = -11*q - 24. Solve 7 - 3 = q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-552))\/(42\/672)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**6\/120 + 13*w**5\/10 - 507*w**4\/8 - 187*w**2 - w. Factor u(m).\nAnswer: -m*(m - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*j = -1220*j + 633*j - 1805*j - 301767 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66644.5 to the nearest one hundred.\nAnswer: -66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 19. Let f be n(-16). Let r = 20 - f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - 2. Let s(x) = 3*x**2 - 31*x + 12. Let t be s(10). What is a(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53952 and 8440512.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 25 = -19*r. Solve 5*k = -h + 6*h - r, k - 2*h = -10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6255135 and 126408.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let r(m) = 1635*m + 1. Determine v(r(z)).\nAnswer: 2673225*z**2 + 3270*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + -189. Let t = d - -159. Let p = t + 237\/2. Find the common denominator of -13\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4374 in 0.2, -3, -3\/5, -214, 0.1?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -954\/2670169 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66934 divided by -66934?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10*76\/12255)\/(15\/((-90)\/(-8)))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/48 + (-8)\/(-3). Let z be 6\/(-8)*(-1 - t). Let f be ((-20)\/z)\/(5\/(-30)). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 less than -8778\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.348339 nanograms?\nAnswer: 0.005348339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5438138?\nAnswer: 2, 29, 93761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + z**5 - z**5 + (6 - 3 - 1)*(-2*z**2 - 3*z**5 + 2*z**2) + 1 - 1 + z**5.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2210 - -21617. Does 125 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*j - 12*j = -12*j + 40848. Let a = -322 + 27. Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.124704 to one dp.\nAnswer: -213.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 718349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40111 - 3289007\/82. What is the common denominator of x and -1\/5?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.82 to 1 decimal place.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 less than -64857481.4?\nAnswer: -64858319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -2, 6.\nAnswer: -2, 6, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 10. Calculate the remainder when -1*1 - (3 - (12 + -3)) is divided by j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 25\/17 (b) -2\/7 (c) 5\/7 (d) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 1442 = 4147. Let y = t - -667. What is the remainder when (681\/6)\/((-2)\/(-4)) is divided by y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (17 - 24 - -27)) + 63\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.836 + -0.854. Let l = -0.00339 - h. What is l rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, z: 4}. Give prob of picking 4 z.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 2*r + 28. Calculate p(7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11655 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 14 + 6. Suppose r*j = -b + 56, -301 = -8*b + 3*b + j. Suppose b = w + 4*w. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22262\/3 <= 7421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 175784 = 175776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 6:47 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(5 + 0))\/(-8 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - z - 10 = 5*h, -3*h - 6 = -3*z. Let r be h*(4\/8 + -3). What is the third derivative of -4*l**6 - r*l**2 + 11*l**2 + 6*l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-7)\/z)\/z)\/(z**(-8)*z))\/(((z\/(z**4*z))\/z)\/(z\/z**(2\/13)*z)) assuming z is positive.\nAnswer: z**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssxx when four letters picked without replacement from {s: 2, j: 3, x: 2, u: 4, o: 1, r: 2}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 87. What is z(0)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 62*m + 16 = -55*m, m - 10 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.32, 0.2.\nAnswer: -1.32, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32900620 and 2032?\nAnswer: 131602480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 279a66 - -203?\nAnswer: 279c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 75 + 267. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 104*h**2 - 60*h + 36. Is 16 a factor of b(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20808349, -20808348, -20808347, -20808346, -20808345, -20808344?\n\"Answer: t - 20808350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 11*u + 12. Let n be o(-10). Let s = -10 + 16. Suppose -s*h = -5*h + 2. Put h, -1, n in descending order.\nAnswer: n, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3087*q**2 + 6154*q**2 - 3069*q**2. Let p(u) = 2220*u**2 - 2. Give p(w(z)).\nAnswer: 8880*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000034 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 6*g**2 - 5*g - 1. Let z be a(-3). Let n be (z\/10 - 1) + 213\/5. Suppose 3*o + 0*o - 2*x - n = 0, 64 = 4*o + 4*x. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 + 19575*m**2 - 1530135333*m\/4 - 50665147137\/2 = 0. What is m?\nAnswer: -66, 39183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (14 + -5) - -211. What is the second derivative of -100*o**2 + q*o + 488 - 974 + 487 wrt o?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 - 250. Let t(d) = d**3 - 8*d**2 + 5*d - 9. Calculate t(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-54)*-4 - (-1685)\/(-90) and -40\/87.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58250 (base 15) in base 7?\nAnswer: 2246136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44969*n**3 + 17643*n**3 - 2028*n**3.\nAnswer: 60584*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131073.\nAnswer: 53, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 10*a**2 + 13. What is the remainder when g(8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 0) + 8 + -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-4)*m**9*m*m**(-2\/15)\/m)**(-12) assuming m is positive.\nAnswer: m**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 340 - -105?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 21\/14 + (-1)\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -168, -463, -1030, -1959, -3340, -5263?\n\"Answer: -15*v**3 - v**2 - 5*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y + 0*y)*(-6*y + 5*y + 4*y + 2*y + 0*y - 4*y + (2 + 4 - 4)*(y - y - y))*(4711 - 3526 - 13545) to the form x + u*y + t*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 302*q - 700. Let f(u) = -14. Let z(a) = 300*f(a) - 6*w(a). Let m(c) = c. Give m(z(k)).\nAnswer: -1812*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5064 divided by 211\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let h = 6 + v. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58549427?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 173, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157032 is divided by 2131?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z\/z**2*z*z)\/z)*z\/z**8*z**(-4)\/(z*z\/(z*z**(-6)\/z))*((z\/z**(-8)*z)\/z*z**(3\/2)\/z)**(-1\/3) assuming z is positive.\nAnswer: z**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 + 4*a**3 - a**2\/2 + 12. Calculate the least common multiple of 18 and h(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 2 - 2*m**2 + m - 3*m**3 + 4*m**4 - 3 - 3*m**4 as v + g*m**4 + o*m**2 + d*m**3 + u*m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 1287.1075614\nAnswer: 1314.1075614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 2 i when four letters picked without replacement from kwierwriwrkkrkkk?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**2. Let m(h) = -24884713*h**2. Determine j(m(r)).\nAnswer: 6811738352016059*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**2 + 9*d + 63. Let c be 1 + 3 - 2 - (3 + 3). Let w(o) = 3*o**2 - 5*o - 31. Let y(b) = c*p(b) - 7*w(b). What is y(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5300)\/150)\/106*(85 + 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.125 + -0.125. Let k = 1 - 0.8. Put 2\/3, k, d in increasing order.\nAnswer: k, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 3332.\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, t: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1016 + -1015.9999107. Round w to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 877 + -873. Find the third derivative of -79*k**n - 175*k**4 - 46*k**2 + 219*k**2 wrt k.\nAnswer: -6096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 439578, 879588, 1319598, 1759608?\n\"Answer: 440010*o - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.8 - 73.83. Round m to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 + 2)*(-3*i + i + 4*i) - 3*i + 6*i - 2*i)*(2*i - 10 + 18 + 9)*(0 - 4 - 2) to the form h*i + c + r*i**2 and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 14*h = -8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10804 and 4958.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 467*m + 674027 + 523*m - 674027. Let s(i) = -2*i**2. What is s(q(n))?\nAnswer: -1960200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d**2 - 2*d**2)*(-73*d - 16172*d**3 + 8086*d**3 + 8080*d**3).\nAnswer: -12*d**5 - 146*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.9927 + -0.1027. Let g = 7.9 - k. Let w = g - 0.11. Which is the nearest to w? (a) 2\/7 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*u - 625*u - 344793 = 4*o, u - 2*o + 68981 = 0. Round u to the nearest 100.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(2 - (-26)\/(-14)). Which is the third biggest value? (a) 0.2 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 138*o**2 - 839*o - 23. Give p(8).\nAnswer: 2097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - -1. Let x = h + -2.3. What is the third biggest value in 0, x, -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 2. Let d(l) = -3*l - 3. Let j(v) = 2*d(v) - 3*y(v). Suppose 0 + 3 = x. Let z(m) = -x + m + 3. Give j(z(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*b. Suppose -5*s + 109 = 3*w, w = 5*s - b*s + 41. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 39981*l + 39980*l - 3.\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 - 217 + 56 + 23)*(-u + 4*u + 5*u) - 4*u - 1 + 1 + 2*u - 3*u + 0*u - 3*u - 2*u + 4*u + (2 - 6 + 2)*(0 + 2*u + 0) - u - 3*u + 3*u + 1 - 1 - u.\nAnswer: -2484*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 divided by 5958?\nAnswer: -1625\/5958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:55 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/((-1)\/2). Suppose 2*g - 17 = -5*i, g + 4*i - 18 = -8. Solve h*m = m - 3*s + g, -4*s + 6 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*n**2 + n**2 + 41 - 40 - 83 + 37.\nAnswer: 3*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 128206*y - 2820523. Give a(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1647*m + 110. Is z(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o + 10. Let a be b(-9). Let i(j) = 11*j - 1. Let x be i(a). What is the units digit of ((-48)\/x)\/3*-15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 531.1 + -531. Suppose i + 1 = 4*z - 5*z, 3*i + 3 = -z. Which is the nearest to 3\/5? (a) 0.5 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 3*v - 9. Let o(t) = 3*t**2 + 5*t + 15. Let n(x) = -15*h(x) - 9*o(x). Let l(b) = 60*b. Calculate l(n(r)).\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1295*g - 1300*g + 0 - 6)*(-3*g + 3*g + 2*g**4).\nAnswer: -10*g**5 - 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 50*v + 4. What is s(1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 88, 113, 158, 229, 332, 473, 658?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**2 + 0*w**4 - 1\/3*w**6 + 1\/10*w**5 - 1\/6*w**3 + 6 + 0*w. What is the third derivative of g(s) wrt s?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (-4 - ((-8 - -14) + -6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7284056 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -68 - 2*q**2 + 68 - 3*q**2. Let t(s) = -6*s**2. Give z(t(w)).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/5 - 4*m**4 + 10*m**3 + 52*m**2 - 2*m - 1141. Factor c(l).\nAnswer: -4*(l - 2)*(l + 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 52, 79, 106, 133, 160?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 1. Let j(f) = f**2 + 1. What is -2*j(w) - 2*q(w)?\nAnswer: -4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -383*y. Let h(i) = -153*i**2. Determine h(n(b)).\nAnswer: -22443417*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoaaooooayyaoo. Give prob of sequence oyoy.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**2 - 36*t**2 + t**3 - 12*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39040?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 359, 355, 353, 353, 355?\n\"Answer: o**2 - 7*o + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 94, -84 in decreasing order.\nAnswer: 94, 5, 1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 2 - 2 + (4 + 13 - 41)*(4*o - 4*o - 3*o) to p*o + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*1955689\nAnswer: 1955689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = 4*g. Suppose -g*m - 2*d = m + 19, 0 = 4*m + 4*d + 20. Suppose 6*o = o - 5. Sort 4, o, m in decreasing order.\nAnswer: 4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/60 - 3*z**2. Let h = 4 + 40. Let t(o) = 23*o**2 - o**2 + h*o**2. Determine u(t(q)).\nAnswer: 4356*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2193.7 to the nearest ten.\nAnswer: -2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -4.84, -2\/11, 3, 14\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 22*f**2 - 80*f + 1251. What is u(21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317832359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:36 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292687727 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44605 - -3746759\/84. Find the common denominator of i and -92\/45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 1945 in decreasing order.\nAnswer: 1945, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81077\/1819 or 46?\nAnswer: 81077\/1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162625439?\nAnswer: 137, 1187047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.21 - 3.27. Let z = -7 - -6.94. Let g = n - z. Which is the closest to -1\/3? (a) g (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5064148 is divided by 536.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 10*x**2 - 10*x - 8. Let l be k(-9). Let a = l - 3. Let z(i) = -i + 9. Let c be z(4). Sort c, a, 1 in increasing order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34165 + -34160. What is the fourth biggest value in -4, l, 197\/6, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*(sqrt(88) + (sqrt(88) - -1*sqrt(88) - sqrt(88))))\/(sqrt(12)\/((sqrt(54)\/sqrt(3))\/sqrt(3))))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 21\/(378\/234). What is the third biggest value in a, -1\/3, 4\/7, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45732 - 54100961\/1183. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 1. Let x(u) = -2*u**2 - 5*u. Give -4*f(b) + x(b).\nAnswer: -2*b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l + 1\/6*l**3 + 4*l**2 + 0 - 1\/12*l**4. Give f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v**3 - 23*v**3 + 4*v - 4*v + 518 + 52*v**3.\nAnswer: -v**3 + 518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s + 0 + 0 + (s - s - s)*(5 - 3 - 4) - 3 + 2*s + 3 + (2 - 4 + 0)*(0*s - s - s) + 0*s - 2*s + 0*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.4284787 + -29.31048. Let d = r + -0.118. What is d rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 7?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 - -256?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.07 (b) 0 (c) 5 (d) 0.116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22161 + -8684. What are the prime factors of o?\nAnswer: 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g + 0*g)*(8026*g - 8026*g - 196*g**2).\nAnswer: -588*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/42*1*21. Solve 2*c + 2*s - 3 = -5, -5*c - s + p = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.047 years to millennia.\nAnswer: 0.700047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5\/3, 6\/7, 2, -848 in increasing order.\nAnswer: -848, -5\/3, 0.5, 6\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3)*-1 + -2. Suppose 0 = -3*m + 15, s = 2*i + 2*m - 15 + 1. Solve 5*p - 13 = -4*o, -o - 5*p + 3 = -i*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 296 = -h - 988, 1283 = -5*o - 2*h. Let n = o + 255. Which is smaller: n or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77419239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1*17099\nAnswer: 17099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(960) - (sqrt(960) - -4*sqrt(960))))\/(-1*sqrt(35)\/sqrt(7)*2) + 1)**2.\nAnswer: 64*sqrt(3) + 3073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 230 - 27. Let w(l) = 56*l - s*l - 24*l. Let x(p) = 49*p. Calculate w(x(k)).\nAnswer: 147*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*u**3 + 2412*u**3 + 504*u**3 - 1460*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*i**3 - 12*i**3 - 2*i**4 - 4 + 675*i**3 + 47*i**3 - 120 wrt i.\nAnswer: -8*i**3 + 2001*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = -128. Let d(n) = -39*n**2 + 16*n - 41. Let l be d(1). Is u not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -126013.\nAnswer: -3\/126013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17761\/14*-1*-2 - 214\/749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = 5*u, 0 = 5*b + 5*u + 5. Suppose 4*t - d = 15, -b*t + 0*t - 5 = -4*d. Solve -5*n = 20 + t, 2*n + 11 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 0 = -2*q. Let m = -9 + q. Solve 3*c + s + m*s = 0, -4*s = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 + 2. Let p be h(-6). Let n(r) = -5*r + p*r + 0*r + 2. Let l be n(2). Let o(x) = -x**3 - 3*x**2 + 3*x + 1. Give o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l + 84*l - 24*l + 15*l - 8*l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*o + 529*o + 19 = -g - 6, 5*g + 5 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31954*-3\nAnswer: -95862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a6 - 2a16?\nAnswer: -2abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14659 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -37 + 17 - (1 + 20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1030\/(-20) + 6\/4. Calculate the remainder when ((-20)\/o)\/(2*3\/690) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808969 = 20*c + 201469. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1241\/(-85) - -14)*55\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6650975 by 1330195.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 250fae + -9d?\nAnswer: 250f11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -21.3?\nAnswer: 8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-6 + -5 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13326 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 12*o + 13*o + 10605, -5327 = -2*t - 3*o. What is the remainder when t is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -592 + 592 + 557*p**2 + 78*p**2 - 5*p**2 + 2*p**2 + 4*p**2 + (-2*p**2 - 2*p**2 + 3*p**2)*(-2 - 4 + 5) + 0*p + 0*p + 2*p**2.\nAnswer: 639*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*y = 79, -3*m + 5*y = -290 + 83. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -76486*i**2 - 4*i - 1. Let b be x(-6). Let k = b - -221645. Let l = -1611828 - k. Round l to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 40008\nAnswer: -1\/10002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 n, and 1 j when four letters picked without replacement from eenej.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8\/32 + (-35)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18929 or -18930?\nAnswer: -18929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -1\/2*p**3 + 3*p + 0*p**2 + 0 - 1\/12*p**4. What is the second derivative of z(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:14 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 b when four letters picked without replacement from bbiibbibibbibb.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 + 643 = -12*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -129*k**2 + 9*k. Let x(d) = -32*d**2 + 2*d. Let g(s) = -2*c(s) + 9*x(s). Let y(o) = o**2. Determine y(g(v)).\nAnswer: 900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6877060 - 0.2.\nAnswer: 6877059.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - -3) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - 5*f + 2. Calculate the remainder when z(4) is divided by (4 - 5) + (4 - -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15) + 8\/6. Suppose -3*w + 5 = -2*w + c, f*c - 22 = -4*w. Suppose -w*d + 151 = 7. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 + -2 + 4 - (4 - 7) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -3736839.\nAnswer: -3736839.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from {k: 10, f: 9, q: 1}.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5317 and 8679389.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -7 (b) -15 (c) -12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 3. Let o(f) = -f**2 + 14*f - 11. Let r be o(13). Let d be (0*1\/2)\/2. Suppose d = -i - r. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -72, -93, -112, -129, -144, -157?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4*u + 29*h**2*u**2 + 4*h*u - 14*u**2 - 11*u wrt h?\nAnswer: -12*h**2*u + 58*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -3*w. Suppose -c + 2*c = -w. Let h be (-12)\/c*(-24)\/9. Let q(z) = -z**3 - 3*z**2 + z - 5. Determine q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -137. Let k be 187\/v + 2\/(-5). Suppose -26 - 52 = -k*h. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -77, 1411 in descending order.\nAnswer: 1411, -1, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332937.\nAnswer: 7, 618991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718 - -0.429.\nAnswer: 718.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - -3*sqrt(171)) + sqrt(171))*5)\/sqrt(9) + (sqrt(19) + 0)*2 + sqrt(19) + -1.\nAnswer: -1 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 18.9. Let b = l - -2.1. Let a = 4.2 - 0.2. Sort b, 0, a in increasing order.\nAnswer: 0, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kikkhmkiiiik. Give prob of picking 1 m, 1 i, 1 k, and 1 h.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3460 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132569903 to the power of 1\/2, to the nearest integer?\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.903082km in meters?\nAnswer: 3903.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 18*z - 43. Let k be 0 - 18 - (81 + -35 - 53). Calculate m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 2\/13, 1\/5681, -0.5, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7691 - -7693. Let p(m) = 1 + 0 + 5 + 7*m**2 - 6*m. Let x be p(g). Solve 0 = 2*y - 4*q - x, 3*q = -3*y - y + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45356241011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 22*i**2 + 37*i + 61. Let k(u) = u**3 + 44*u**2 - 75*u - 123. Let s(a) = -5*h(a) - 3*k(a). Factor s(v).\nAnswer: 2*(v - 8)*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(160\/56) + 438\/168?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24694 or 24692?\nAnswer: 24692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59047*-1.062\nAnswer: -62707.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(5200\/(-60)))\/(27\/(-2925))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161286, -645321, -1452044, -2581455?\nAnswer: -4033554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -819 + 1769. Suppose 304*q - 300*q = 200. Calculate the greatest common divisor of q and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-60)\/175)\/(-6)*25\/15. Let x(s) be the first derivative of 3\/14*s**4 - 4\/7*s + 2\/35*s**5 + p*s**3 - 3\/7*s**2 - 20. Suppose x(z) = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*t = 346*t + 70 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*b - 1)*(128*b + 2*b**2 + 40*b**2 - 40*b**2) to the form d + v*b + c*b**2 + a*b**3 and give c.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331003 + 0?\nAnswer: 1331003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.2, 0.1, -1\/2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:53 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*v - 5*r, -5*v + 26 - 10 = 4*r. Suppose 1 = 3*b - 8. Solve 2*h + 14 = -5*d, 3*h + v*h = b*d + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2))*-2)**2 + (sqrt(6)\/sqrt(12))**2 - (sqrt(24)\/(-2*sqrt(972)))**2.\nAnswer: -8*sqrt(2) + 1012\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 - 19635\/20790?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4506855?\nAnswer: 3, 5, 53, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1310160 and 151\/51915090.\nAnswer: 415320720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1152 and 151\/432.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + p. Let o = 593 + -890. Let s = o + 303. Let b(d) = -9*d**3 - 7*d**2 + 6*d - 1. Determine s*q(x) - b(x).\nAnswer: 3*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03633 times -0.0556\nAnswer: -0.002019948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - p - 0*p, 3*p = 5*n - 19. Suppose -2*x - n*a = -6 - 3, 5*x = -4*a + 14. What is the first derivative of 0*f**2 - 3 - 2*f**x - f**2 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(1\/2). Let i(a) = 4*a**2 + 11*a + 11. Let x(z) = z**2 + z + 1. Let j(n) = i(n) - 5*x(n). Let v be j(7). Is v at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j + 66. Let s be a(-25). Let z = s - -568. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, 1 k, and 1 s when four letters picked without replacement from {s: 5, z: 1, d: 1, k: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1912 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((65\/3250*6)\/((-18)\/15))\/(5*1)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4811 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 56*j**2 - 4*j + 52. Calculate o(28).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-510))\/((-9)\/(-54)). Which is the nearest to 7? (a) v (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151294 a multiple of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 245944.726 to the nearest 1000.\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-45)\/6 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62342.6 rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8876938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 - -1 - (0 - 0)\/(-1). Let c = 182 - k. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 3.1. Let n = a + -1.6. Put 2\/13, 4, n in ascending order.\nAnswer: 2\/13, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2.6. Let v = y - -2. Let d be ((-3)\/(-15))\/((-3)\/(-15)). Which is the smallest value? (a) d (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840558 + 68550452.\nAnswer: 69391010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2986*5.\nAnswer: -14930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -f. Let d(o) = 2*o**2 + 5*o + 4. Let z be d(f). Suppose -z*x + 452 = -5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -17, 4, 41?\n\"Answer: 8*u**2 - 19*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 7305*a + 35 - 195 - 49 = 7304*a, 0 = -6*q + 6*a + 222 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 310 divided by 310\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595.9993032 + -596. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 49*r**2 - 52*r - 98. Let t be i(-50). What is the greatest common factor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9758.\nAnswer: 2, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let l(c) = 3*c + 4. Suppose 0*h = -h + 5*j - 6, 4*j - 21 = -h. Suppose 2 = -4*v - 5*i + 23, -5*v + 3*i = -17. Give h*d(b) + v*l(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 425910065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-147) + (-44)\/(-462)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5574.43581 to the nearest integer.\nAnswer: -5574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -565*o**3\/2 - 1901*o**2\/2 - 1010*o + 2. What is the first derivative of h(u) wrt u?\nAnswer: -1695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-480)\/(-36) - 4\/(-6)) + 4. Let d(t) = t**3 - 15*t**2 - 13*t + 146. List the prime factors of d(a).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238162250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = 5*k, 308 - 285 = z - 7*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -v + 4*n, -2*v + 76 = 3*n - 5*n. Let p = v + 24. Calculate the remainder when p is divided by (-52)\/(-2) - (-72)\/18.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*x = -0*x - 46, -2*j + j = -5*x + 115 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1128 and 41\/6678?\nAnswer: 1255464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(k + 3*k - 2*k) - 2*k - 1 + 1 + 2*k + 0*k - 5*k + 26 - 45*k - 26.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 25. Let j be m(15). Let w(s) = s - 1. Let p(f) = -6*f**2 + 4*f - 3. Let o(b) = j*w(b) - p(b). Does 4 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 25 - 55. Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640874 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 5 (c) -0.14 (d) 0.1 (e) -2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10681640 (base 9) to base 14.\nAnswer: -991a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2 - 6*s. Suppose 6*w + 2 = 3*w - 4*t, 5*t + 2 = -4*w. Let y(k) = -2*k**w - k + k**2 + 0*k. Suppose r = 1 - 2. Calculate r*c(i) + 5*y(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m = 66*m. Put m, 2, -2, -5 in increasing order.\nAnswer: -5, -2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13131503 (base 6) to base 10.\nAnswer: 431967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121202010120 (base 3) in base 8?\nAnswer: -15327452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = 2*l, 2*l = -u + 2*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14759*d**3*z - 2670*d**2 - 3*d*z + 3*d - 2212*z + 15 wrt d.\nAnswer: -88554*d*z - 5340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1906992 and 174496.\nAnswer: 26697888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -83, -2816.\nAnswer: -2816, -83, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 4*x**3 - 21288*x**2 + 11222*x**2 + 2*x + 11209*x**2 to the form w*x + l*x**2 + f + m*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (22 - 26) - (-28 + 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1525 - -2080. Calculate the greatest common factor of 105 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 7200411 + 0.0281.\nAnswer: 7200411.0281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 401?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) + 5*sqrt(114)*-1 + sqrt(114) - sqrt(114)) - (sqrt(114) + 1*sqrt(114)*4 + sqrt(114) - sqrt(114)))\/(sqrt(54)*-2*4*-6).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8288 + -10.0658. What is y rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -16. What is the least common multiple of 1 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**4\/7 - 20188*w**3 + 55862964*w**2\/7 - 111301964*w\/7 + 55580320\/7 = 0.\nAnswer: -35720, 1, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 392467.\nAnswer: -9811675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -8. Suppose -u*m - 167 = -3*v, -m - 3*m - 8 = 0. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(40)\/(sqrt(16)\/sqrt(2))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77452079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*u. Let t be (112\/(-84))\/(2\/(-3)). Let p(w) = -t*w - w - w + 10*w - 6. Let a(m) = -m + 1. Determine u*p(k) + 11*a(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1791*a**3 - 49*a**2 - 23*a - 8. Let w be v(24). Round w to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04893 times -0.3\nAnswer: 0.014679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elee when four letters picked without replacement from lyyaylelllellalleyyl?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - (-81 - 3))*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 25 = -3*w, -5*w - 8 = t + 12. Suppose 10*y - t*y - 15 = 0. Let s be (y - (-40)\/(-6))*-3. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 22 = 0. Solve -5*w = 5*q - 30, -w - 2*w + 5*q = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -56, 26, 160, 364?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -513 + 512. What is the third smallest value in 2\/9, 3\/37, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(2736) + -2*sqrt(2736) + 5 + (sqrt(2736) - (1 + sqrt(2736) - sqrt(2736))**2*4) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*w + 7 - 3, -84*t = -13*w - 83*t - 44 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -6 - -5)*146\/71467.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 16448702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r + 650. Let s be n(65). Suppose -f - 4*d + 2*d + 25 = 0, 0 = 2*f - 3*d - 57. Solve -f*w + 26*w = s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -22, -12, 4, 26, 54, 88?\n\"Answer: 3*k**2 - 5*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 8a?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 7857 = -7701. Calculate the remainder when -5*1\/1*-10 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, -2\/3, 3, -23, -15, -2\/119?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1) + 27 + -1. Let z = 17 - 13. Let y(n) = 9*n**2 + 27*n - v*n + z*n**2. Let d(p) = p. Determine d(y(s)).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/160*4 - (-12)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3100 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078 divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3 - j + 0*j + j**3 + j**2 + 2. Let w(u) = u**3 - 4*u**2 + 5*u + 5. Let o(c) = 5*s(c) + w(c). Let x be (-1)\/4 + 6\/(-8). Calculate o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935728567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - k**2 + k + 1. Let i = -1 - 0. Let l be b(i). Let n = l + 11. Sort -2, n, -3.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, q: 1, o: 3, t: 4, i: 1, j: 4}. Give prob of sequence toi.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-6))\/(4\/(-18)). Suppose -8*y + 7*y + 168 = 0. What is the highest common divisor of y and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 1256*a - 33496. Determine c(27).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4528*m**2*p*w**3 - 49*m**2*p - 67*m**2*w**3 + 22*m**2 + 6*m*w - 49*w**2 wrt p?\nAnswer: -4528*m**2*w**3 - 49*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 4 + 1*sqrt(2448) + sqrt(2448) - (-6*(sqrt(2448) + -1) - -2*sqrt(2448)*5))**2*-4.\nAnswer: -78344 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.15. Let n = -0.33 + -0.07. Which is the closest to -1\/3? (a) 0.5 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 10*o**2 - 2*o + 21. Let u be k(10). Let c be (u\/(-4) + (-15)\/(-20))*-24. Is -3*20\/c - -6204 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 22. Suppose -129 = -4*o - 45. What is the remainder when o is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 31, 57, 93, 139?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -78*n**2. Let b(m) = -m - 50. Give b(s(y)).\nAnswer: 78*y**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*o**3*r - 52*o**3 + 11*o*r - o + r**2 with respect to r.\nAnswer: -6*o**3 + 11*o + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -863 + 88a13?\nAnswer: 88160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57528\/(-71910)*170\/(-36)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*b**2 - 5 + 4 + 32*b**2 - 6 - 96*b**2 to v + f*b + t*b**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4*u**2 + 17*g**2*u**3 - 15*g*u**3 + g*u wrt g.\nAnswer: -36*g**2*u**2 + 34*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:50 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31184, 31195, 31192, 31169, 31120, 31039, 30920, 30757?\n\"Answer: -p**3 - p**2 + 21*p + 31165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -146140\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 - 1300*b**4 - 201702*b**3 + 2792212*b**2 - 8706664*b + 7878960 = 0 for b.\nAnswer: -353, -310, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by -207?\nAnswer: 410\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhuuhuuuuuhhuuhuu. What is prob of sequence uhh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/3))\/(1071\/5712).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 - 2*i - 1580. Let r be d(0). Let q = 5050 + r. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24952 - 49910 - 459*p - 45*p + 24955 in the form l*p + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 - (-585)\/12. Suppose -5*u - 4*r + 76 = 0, 2*u + u = -3*r + j. Calculate the least common multiple of u and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953.947 rounded to the nearest 10?\nAnswer: 6950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*k + 16 = -s, -2*k + 5 = -3*s. Let g(r) = -2*r**3 - 2*r**2 + r + 1. Is g(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:11 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 3*p + 202, -2*b = 5*p - 202. Let l = -17 + b. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -250.856363 and 8923.\nAnswer: 8672.143637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/30 and 103\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cavcv. Give prob of picking 1 c, 1 a, and 2 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuauuuaaua. What is prob of picking 3 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11306*a - 56570. Calculate z(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(a - 7*a - 3*a)*(-2*a + 2 - 2 + (-a + 3 - 3)*(-2 - 1 + 5) + 3*a + 0*a - 4*a).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -4\/3*i**3 + 1\/4*i**4 + 0*i + i**2 + 2. Is 6 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758194899, 1516389799, 2274584699, 3032779599?\nAnswer: 3790974499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7 - 4*f + 0 + f**2 + 7*f. Let h be s(-5). Suppose -h*r + 10 = -2*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 + 15*x**2 - 25*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sffs when four letters picked without replacement from mffsfnfnms.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-501.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2174388 and 125\/894.\nAnswer: 323983812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -17.6. What is the closest to 2\/3 in 0.2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5640, 1\/7, -0.4 in descending order.\nAnswer: 0.3, 1\/7, -0.4, -5640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58*(-3)\/(-18) + (-4)\/6. List the prime factors of (-2)\/c - 3520\/(-45).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9138*x + 191956. Calculate a(21).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94? (a) 0.042 (b) -1 (c) -3 (d) -5 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = p - 2*b + 80, 4*p - 5*b + 318 = 0. Let i = p - -47. Let a be (-10)\/(-14) + (-10)\/i. Solve -a = -0*m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - p + 10, -2*i + 2*p = 3*i + 5. Let o be (-2 + -1)*(i - 2). Suppose 2*j = o*j - 11. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -8\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d*w**3 + 13*d*w**2 + 100*d*w - 2*d - 7009816*w**3 + 569*w wrt w.\nAnswer: 30*d - 42058896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477050 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 41*j**2 - 18*j - 37. Let s be h(20). Solve 0 = -5*d - 8 + 33, d + 4 = s*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:54 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.02 - -1.466. Let a = z + 0.13. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -302.08 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -69, -0.1, -1, -2?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -231*g - 5. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439617400 and 800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 + -4 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14146*r - 452678. Calculate y(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.019 + -0.019. Which is greater: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from ziziziizziizizzz.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 18000 = -33*q. Which is smaller: q or 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -56.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21811176 divided by -72\nAnswer: -302933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/14 - 103*a**4\/42 + 274*a**3\/21 - 176*a**2\/7 - 7791*a. Determine i so that u(i) = 0.\nAnswer: 1, 2, 88\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {u: 1, k: 1, b: 1, j: 1, f: 2, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 5*s - l - 15, 5*s + 5 = 5*l. Let f(k) = -2*k + 0*k + 0*k - 10*k**2 - s. Let b(c) = -2*c**2 - 16*c - 15. Let a be b(-7). What is f(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -81 + 64 - 26\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 less than -34786.9601668?\nAnswer: -35066.9601668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43058, -43048, -43026, -42986, -42922, -42828, -42698?\n\"Answer: n**3 + 3*n - 43062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/((16\/(-4))\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1019\nAnswer: -1019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 86 (b) 4 (c) -1\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-34)\/(-16) + -2). Let z = u + 11. Suppose 2*r + 4*h - h = 0, -9 = -5*r - z*h. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 25 = 4*f. Let x be f - (3 - 3)\/(-3). Suppose 2*o = -3*a - 2, -2*a = o - 3*o - 2. Put 4, o, x in decreasing order.\nAnswer: x, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -803 - -1234. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -1516, -2317, -3120, -3925?\nAnswer: -4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*32\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 4104120*j**2\/7 + 24624666*j\/7 + 36936972\/7.\nAnswer: 2*(j + 3)**2*(j + 2052054)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 67 - 63. What is the highest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2 + 2*d + 8. Let j be p(-9). Let r be (j - -2)\/((-12)\/1950). Round r to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101.36 - 101.32. What is the third smallest value in m, -3\/4, 0.5, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**8\/3360 - 2*c**3\/3 + 12*c**2. Let w(o) be the first derivative of q(o). Factor w(m).\nAnswer: m**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 - 2 + 2)*(-4 + 3 + 21)*(-8 + 3 + 24).\nAnswer: -760*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5267*c - 1. Let s(f) = -56*f. Calculate d(s(o)).\nAnswer: 294952*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*o + 359*o = 206 + 609 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4672 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586017?\nAnswer: 3, 19, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:55 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 147. What is the highest common factor of 52 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x*x*x**(-12))*x*((x\/(x\/(x\/x**(2\/13)*x)))\/x)\/x*x*x**(-10)\/x**(-13) assuming x is positive.\nAnswer: x**(193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q\/q**(2\/113))*q**(2\/71)*q)**(-35\/4) assuming q is positive.\nAnswer: q**(-293685\/32092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + -100. Suppose 0 = -k + 7*r - 10*r + 27, -4*r + l = 0. Solve 0 = -5*j - k + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3 (c) 2\/33 (d) 3\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31349351 is divided by 1036?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/3 + 3*w. Let b(s) be the third derivative of -s**5\/30 + 2*s**2. Calculate q(b(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 9. List the prime factors of 1\/(l\/1)*-20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25424?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:07 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 11) to base 3\nAnswer: -22211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f - 2*f - 24 + 0*f + 7 + 9. What is k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20003011203 (base 4) to base 13\nAnswer: 58b3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - -33 - (4 - ((1 - -3) + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: dc298 (base 14) to base 6\nAnswer: 15230542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 7*j + 13. Let v be w(4). Let n be (6*v\/20)\/((-42)\/35). Let r be 10\/(-24) + 4\/6. What is the second smallest value in r, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-1)*(-138)\/(-15). Suppose -4*o + 222 = -4*c + 6*c, 5*o = -2*c + y. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u, -3*x - 9 = -3*u - 69. What is the smallest common multiple of 496 and x?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79856 and 25760.\nAnswer: 798560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1892*i**6 - i**5 - 22*i**4 + 426988*i**2 + 3 wrt i?\nAnswer: 227040*i**3 - 60*i**2 - 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-4))\/(1\/4) - -2. Factor 0*r**2 - 1\/2*r**5 + r**y + 0 - 1\/2*r + 0*r**4.\nAnswer: -r*(r - 1)**2*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t\/(((t\/((t**(2\/5)*t)\/t))\/t)\/t))\/t)*t)**(-4\/25)*((t*t*t\/(t\/(t*t\/t**(-2\/3))*t))\/t)\/t*t**(-2)\/t assuming t is positive.\nAnswer: t**(-596\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9071974?\nAnswer: 2, 139, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-2))\/(14\/70*15\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/8*-4 + 8)*3. Sort b, 0, 6, -19.\nAnswer: -19, 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1202 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1182, 5, -59, -5\/4, -79 in ascending order.\nAnswer: -79, -59, -5\/4, 5, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gewu when four letters picked without replacement from wewuxxegweeex.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 9*o**4\/8 + 13*o**3\/2 + 12*o**2 + 6*o - 7. Factor p(g).\nAnswer: 3*(g + 2)**2*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13904 at most as big as -3406132\/245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a - 1. Let l(v) = -6*v**2 - 8*v - 8. Let o(d) = l(d) - 8*p(d). Let g(y) be the first derivative of -7*y**2\/2 + 2. What is o(g(s))?\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 931 + -95. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 64*v + 1272. Give x(-22).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7 = 3. Let g be h + 0 + -10 + 0. Let w be (-6)\/g*8\/(-10). What is the smallest value in w, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8302, -8307, -8312, -8317, -8322, -8327?\nAnswer: -8332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.3 (b) 5 (c) 2\/21 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -17, -3 in decreasing order.\nAnswer: -3, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 12*i**2 + 9*i - 30. List the prime factors of s(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 22*l**2 + 40*l - 2. Let n be y(-2). Solve 9*o - 6 = n*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 4, k: 1, l: 3, t: 6, o: 1, i: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 + 365. Suppose h*i - 358 - 426 = 0. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*z + 55*a**4 + 20*a*z - 16*z wrt a.\nAnswer: 36*a**2*z + 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 109 = -531. Suppose p*z + 171257 = -5063. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b*b)**(-2\/101) assuming b is positive.\nAnswer: b**(-14\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*v + 15, 2*k - 2*v + 6*v = 10. Suppose 64*g + 13*g**4 - 134*g + 69*g - 15*g**k + 7*g**2 - 4*g**5 = 0. What is g?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/3)\/(u*u**0)*(((u*u*u*u*u\/u**(4\/5)*u*u*u*u)\/u*u)\/u)\/(u*u**(2\/7)*u) assuming u is positive.\nAnswer: u**(446\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose 459*s - 466*s + 49 = 0. What is the third derivative of -11*c**4 - 9*c**3 + 8*c**k + s*c**3 + 2*c**3 wrt c?\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 512 + -81410\/159. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2980*t + 50 = -2982*t, 0 = -2*q - 2*t - 28 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 754100 and 2714760?\nAnswer: 13573800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15276 divided by -134.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/4, -9, 321977\/3?\nAnswer: 321977\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/409 - 768\/2045. Suppose 4 = 5*w - 21. Which is the smallest value? (a) w (b) 0.3 (c) t (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.83 + 3.8. Let g = -0.03 - z. What is the nearest to 1\/3 in -3\/8, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1.7, 2\/5, -2\/7, 3, -2\/19 in ascending order.\nAnswer: -2\/7, -2\/19, 2\/5, 2\/3, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = -4*t + 19, 5*t - 30 = 5*z. Suppose 3 = 2*a - t. Are -1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*a + 96 = 781*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13441257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -4 (c) 3 (d) -0.2 (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:36 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 6*f + 22*f**4 + f**2 - 1 - 25*f**4 to j*f**4 + n + m*f + l*f**2 + c*f**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2994 - 2528 + 2*t**2 + 496 - 315 + t - 285*t**3 wrt t?\nAnswer: -855*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 292, 456, 620, 784?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-34)\/51. Let i(j) be the third derivative of 0 + 0*j**5 + 0*j**4 - 1\/24*j**6 - 4\/3*j**3 + 8*j**2 + s*j. What is the derivative of i(g) wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -691, -6114, -20835, -49504, -96771, -167286, -265699, -396660?\n\"Answer: -775*a**3 + a**2 - a + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/1740*6\/(-40))\/(15\/(-60))\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31328 + -31328.015183. What is b rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/13)\/u*u**(2\/9)*u assuming u is positive.\nAnswer: u**(8\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.8 + -6.8. Let j = d + -39.99984. What is j rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 126*c**3 + 76*c**3 + 2.\nAnswer: 202*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 234116.1 to the nearest 100.\nAnswer: 234100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/90 and 68\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 148 + 167 - 115 - 15*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1793 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13202 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002764 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/4 - -1\/4. Let y(i) = -42*i + 8. Let h(b) = -2*b + 2. Let w(o) = -12*h(o) + y(o). Let a be w(-1). Sort 0.04, -1\/10, r, a in increasing order.\nAnswer: -1\/10, 0.04, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13915.9993809 + 13916. What is j rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:27 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g**2 + 2*g**2 - 2*g**2)*(g - 5*g + 3*g) - g**3 - g**3 + 3*g**3)*(-55 + 17 - 35).\nAnswer: -219*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 605993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 j, and 1 q when four letters picked without replacement from {q: 1, e: 1, w: 3, p: 8, j: 4}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 19. Let z be -1*n + -10 + 10. Let s = -2 - z. Solve -4*t = -x - 4, 4*x + s = -2*t - x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:01 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - w = -2*w + 2, 2*w = k + 5. Let t be 2*k + (-64)\/24. Is -4\/5 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/7 - 2161*q**3\/7 - 1347672*q**2\/7 - 189203540*q\/7 - 2691038528\/7 = 0. What is q?\nAnswer: -986, -173, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/9681 and -47\/5532.\nAnswer: 38724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(0*z**3 - 4*z**3 - z**3 + (z - 2*z - z)*(2*z - 2*z - 2*z**2)) to r*z**3 + p*z**2 + j*z + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.4, -44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 4*a - 5. Let t(x) = -5*x**2 + 5*x + 6. Give 5*t(q) + 6*y(q).\nAnswer: 5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.92737 centuries to decades.\nAnswer: 919.2737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-12 - (52\/13 + 64)) is divided by 78.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 - 16*h + 16*h)*(11*h - 12*h - 29*h).\nAnswer: 90*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Suppose m = w + b - 0*b - 215, -2*w = 4*b - 438. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 78537404?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 3, c: 2, h: 5}. Give prob of sequence vvcc.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 28*j**4 + 98*j**3 + 72*j**2.\nAnswer: 2*j**2*(j + 1)*(j + 4)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 11 - 29 = -3*n, -4*h = -21*n - 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 plus 117.407?\nAnswer: 115.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**2*i**2*t - d**2*t**2 - 21*d**2*t + 665*d*i**2*t**2 - 3*d*i - 2*i*t + 5*i wrt i?\nAnswer: -8*d**2*t + 1330*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4941*z + 29646. What is h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 2:13 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103401, -207032, -310663, -414294, -517925, -621556?\nAnswer: -725187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/39 in -120, 1, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/858 and 69\/9880.\nAnswer: 326040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 7 - (-10 - 1) - (19 - (63 + -7)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*z + 4*z + 33, -3*z - 33 = -4*j. What is the least common multiple of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(2160) - sqrt(60)))\/sqrt(12) + 4.\nAnswer: -40*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33982821.\nAnswer: 3, 109, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = 0, -2*t - 3*q + 14 = -7. Sort -2, 2, -15, t in descending order.\nAnswer: t, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 17*w**2 + w + 29. Let z = -155 + 138. Let l be h(z). Solve 0 = 4*d + l, 0 = -2*m + 3*m - 5*d - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = 5*y - 610, 4*p = -2*y + 254. Let l = y + -33. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101 (base 2) in base 10?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(208)*2 + 2 - -4*sqrt(208)*-1 - (2 + sqrt(208)*4*6)))**2.\nAnswer: 20247552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1632821000 to the nearest 1000000.\nAnswer: 1633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 3.48?\nAnswer: 1.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + q - 3 - 4 - 8*q.\nAnswer: -7*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2 + sqrt(171))**2 - sqrt(171))*5 + sqrt(684)*-4 + 4*sqrt(2736).\nAnswer: 69*sqrt(19) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 3 = -19*d. Let r be 3*(-4 + 1 - -4). Solve -4*n - 8 = -d*q - 3, 4 = -r*n + 2*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 23465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**2 - 12*i**2 + 2 - 4 + i**3 to the form z*i**2 + t + c*i + s*i**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128868.125 rounded to the nearest 10?\nAnswer: -1128870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/(165 + -167). Sort r, -2, 5, -99 in decreasing order.\nAnswer: 5, r, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 + 20*f + 31. What is the smallest common multiple of 402 and v(6)?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354583222?\nAnswer: 2, 3, 43603393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -28\/5, 1\/4, -3, -381?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 14669115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -25*w + 136. Solve 2*g = p + w, 5*p - 12 = 4*p - 4*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026*17667\nAnswer: -459.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:24 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/24 + 5*c**3\/2 + 10*c**2. Calculate d(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608 = -4*s - 5*g - 515, 0 = 3*g - 15. What is the remainder when 9722 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.057 from -0.1976274.\nAnswer: -0.2546274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m**2. List the prime factors of j(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/48)\/(12\/336).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 10}. Give prob of picking 1 z and 1 o.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*k**3 + 348*k**3 + 27*k**3 + 299*k**3.\nAnswer: 344*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -267. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*(-3)\/2)\/((-250)\/2375)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:55 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.458 - 0.5. Let q = -0.042 - g. Let d = q - 0.1. Which is the third biggest value? (a) 3 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-60))\/((-119)\/42)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4955, 9909, 14861, 19811, 24759, 29705?\nAnswer: 34649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 529*o**2 - 3973 wrt o.\nAnswer: 1058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -453\/5, -5, 3, -3\/8.\nAnswer: -453\/5, -5, -3\/8, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(4\/7)*q*q)\/q**(-1\/4)*q\/((q*q**(2\/9))\/q)*(q\/(q**5*q))\/q*((q*q**4)\/(q*q\/(q**3\/q)))\/(q*q**1\/q*q\/(((q\/q**(-4))\/q)\/q)) assuming q is positive.\nAnswer: q**(1123\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 2, 3, -3 in increasing order.\nAnswer: -3, 2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567798401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-12)\/(-4))\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 4*g**3 - 2*g**3)*(-2 + 2 + 2*g) + 281930*g**2 - 281930*g**2 - 11986*g**4.\nAnswer: -11990*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -519, -6599, 2\/21.\nAnswer: -6599, -519, -1, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 4. Let x(i) = 7*i**2 + 7*i - 13. Let g(q) = -11*q**2 - 11*q + 19. Let d(v) = -5*g(v) - 8*x(v). Let h be d(-3). Determine b(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-28)*(16\/14)\/((-108)\/126)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-8)\/(-6) - 0. Sort -1, -5, f, 0 in decreasing order.\nAnswer: 0, -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 + o + 12. Let l(p) = -3*p**2 - 5. Let i(x) = 10*l(x) + 4*m(x). Factor i(w).\nAnswer: -2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150*19\/228*24\/(-10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.2 - -35.2. Sort -0.4, d, 2, 9\/7 in descending order.\nAnswer: 2, 9\/7, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 + -1908905?\nAnswer: -19088b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 18490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 59, -18, -85 in decreasing order.\nAnswer: 59, 1, -18, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9170496 divided by 13176?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 980168901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 20 - 52 - 9*b**2 + 2*b to the form f + j*b + m*b**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020537 rounded to 4 decimal places?\nAnswer: -0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 21 - (6 + -11)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*o - 55963 = -4015 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9199760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 15*q + 344. Let g be k(-23). Which is greater: -20\/347 or g?\nAnswer: -20\/347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -19. Let o = -72 - -45. Let n = o + p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 11*m**2 - 62*m - 28. Let l be b(-15). Solve 4*y + 9*v = 4*v + 10, 5*y + l*v - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - 12*r**2 + 15*r**2 + (-2*r - 5*r + 5*r)*(2*r - 1 + 1) + 3*r**2 - 3*r**2 + 2*r**2 + (-2*r + 3*r + 0*r)*(3*r - r + 0*r) - 3 + r**2 + 3.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.3 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 14\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 394385, 788763, 1183141?\n\"Answer: 394378*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 18*k + 4. Let o be n(9). Suppose -4*x + 6*x - o = 0. What is the smallest common multiple of x and 1*(-185)\/(-2)*(-4)\/(-10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 11*v + 6. Let q(b) = b. Let w(k) = o(k) - 2*q(k). Let a be w(-4). Suppose a*s = 7*s - 30. What is the lowest common multiple of s and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1359)\/(-18) + 5\/10. Solve -2*m - 86 = -d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 32812950*x + 53834484385125.\nAnswer: 5*(x + 3281295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + f + 4666 = 7*c, -2*f - 4668 = -4*c. What is the smallest common multiple of 12 and c?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425))**2 - 2*(sqrt(17)*2)**2 - (3*(sqrt(204) + 2*sqrt(204))\/sqrt(12))**2.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -92*w**4 - 8*w**2 + 14*w + 3. Let a(x) = 91*x**4 + 10*x**2 - 14*x - 2. Let m(r) = -4*a(r) - 5*c(r). What is the second derivative of m(v) wrt v?\nAnswer: 1152*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41.6 in -20, 5, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28379004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*m**4 + (1 + 1 + 1)*(0 + 3*m**2 + 0)*(-2 - 2 + 2)*(-38*m**2 + 46*m**2 + 62*m**2).\nAnswer: -1258*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from ykaakam?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:52 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141263 is divided by 27801?\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32352 at most 32353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*k, -h = 3*h + 5*k + 37 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/9)\/h)\/h**(-2\/11))\/(h**(-1\/2)\/h)**35)\/(h**(5\/2)\/(h*h*(h\/h**0)\/h*h)*(h\/(h\/h**0))\/(((h**7*h)\/h)\/h*h)) assuming h is positive.\nAnswer: h**(5837\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -140. Let p = 65 - g. Let w be (18\/15)\/((-1)\/p). Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*s + 3*f - 6*f - 10 - 12 - 8, 10*f = 14*s - 84 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607527*l**4 - 59*l**3 + 5*l**2 + 3*l + 602582?\nAnswer: 14580648*l - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3302 and 15494?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*r - 2*r. Let a be (-8)\/r*(-10)\/(-4). Suppose 0 = -4*b - 2*l + 50, -5 = a*l - 17. Solve -3*h = -4*c + 13, 3*c - 2*c + 4*h = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16742*g**5 - 10032*g.\nAnswer: 334840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5\/2 + 58003*z**4 - 4844603*z**3 + 84308550*z**2 + 1463709825*z\/2 + 234403875 = 0. Calculate z.\nAnswer: -6, -1\/3, 45, 38585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/51)\/(-2 + 1*24\/16). What is the fourth biggest value in 18, -0.4, -9, o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c + 53 = 189*c - 12, -3*c + 69 = 10*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 409.\nAnswer: -3\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llrrhlllr?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.01, 0.1, -5\/3, 33, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63959?\nAnswer: 7, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798250176 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/641, 2\/17, 3\/128, -3\/2?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -20 (c) 0.3 (d) -2 (e) 8 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37034 is divided by 12174.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 48 - 53 + 2*l.\nAnswer: 2*l - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/36*44\/110.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*n + 3)*(-152*n - 182*n - 31*n - 147*n).\nAnswer: 1024*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28 - ((-1)\/5 - (-99)\/45). Let o(d) = -6*d + 56. List the prime factors of o(f).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 1. Let k be (-781250)\/3*(p - -99). Round k to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995898 is divided by 2207.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1767 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75254 (base 9) to base 13.\nAnswer: -19876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*v - 0. Let f be v\/(-1 + 0)*0. Suppose -5*s + 9*s - 72 = f. Solve s = -4*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -895512 and -895511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 129*o**2 - 1417*o - 90. What is y(12)?\nAnswer: 1482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 29 = -p, -p - 12 - 47 = 5*m. Let f(n) = -2. Let r(l) = -9*l + 33. Let x(y) = -4*f(y) + r(y). Calculate the remainder when x(m) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (((2 + sqrt(208) - sqrt(208))*-6 - ((-1*(1 + sqrt(208)) - sqrt(208)) + sqrt(208)))**2 - (sqrt(208)*-3 + -3 + (sqrt(208) - -1*sqrt(208)*5))**2).\nAnswer: -1550 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93579 >= -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -108 + (181 - 38) + 52\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4\/4 - 865*d**3\/2 - 60287*d**2 + 1199249*d\/2 - 772641\/4 = 0.\nAnswer: -293, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -3233?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 36*l + 581. Give t(-17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -819 + 0.57875433794?\nAnswer: -818.42124566206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + f - 5408 = 0. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/(-6) - 55\/(-33))\/3. Solve -3*a - a = b - 6, -m*b = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1972bb + -2?\nAnswer: -197301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * -205.3.\nAnswer: 10470.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63.9100786 - 0.1359786. Let f = o - 63.7. Round f to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49455, -98665, -147875, -197085, -246295, -295505?\n\"Answer: -49210*g - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220122002 (base 3) in base 2?\nAnswer: -100011000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 h when three letters picked without replacement from ppmhormhw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let y(i) be the third derivative of -i**4\/8 - i**2. Calculate g(y(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1018, 1\/8, -3 in ascending order.\nAnswer: -1018, -3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9575 or -9573?\nAnswer: -9573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let m be -4*((-6)\/(-4) - 4). Let r(x) = -2*x**2 - x**2 + m*x**2. Calculate r(q(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-4)\/10)\/((26406\/(-540))\/163)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 3*x**3 + 0*x + 3*x**3 + 2*x**2 + 5*x**3. What are the prime factors of o(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 at most as big as 2235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 27. Let a(n) = n + 3. Let x(m) = 18*a(m) + 2*l(m). Let o(g) = 0*g - g**2 + 0*g. Determine x(o(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 85 + 15 = 0. Let w(d) = -2*d - 18. Let t be w(m). Let i = -6 + t. Solve -2*g - 3*g - 5*f + 20 = 0, i*g = -2*f + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 312, 663, 1016, 1371, 1728, 2087?\n\"Answer: x**2 + 348*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.9*-282.7\nAnswer: 1102.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/60 - i**5\/60 + i**4\/24 + i**3\/6 + i**2. What is the lowest common multiple of q(-1) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 5*u + 2*u)*(-u - u - 2 + 3*u)*(67 - 14 + 13) to a*u + x + b*u**2 and give b.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10786*u**3 - 33*u - 78 wrt u?\nAnswer: -64716*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5375*w - 15 = 5370*w, s + 3*w - 13 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*t - 7. Let p(l) = 3*l + 8. Let a(o) = o + 3. Let y(u) = -11*a(u) + 4*p(u). Let m(x) = 2*x - 1. What is t*y(c) - 2*m(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -51*y**2 - 10*y. Let t(d) = -133*d**2 - 23*d. Let i(q) = 5*a(q) - 2*t(q). Let m(h) be the first derivative of h**3\/3 - 1. Determine m(i(o)).\nAnswer: 121*o**4 - 88*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5, s + 2*j + 5 - 20 = 0. Suppose -s*g - 7 + 2 = 0. What is the units digit of (-15)\/(-2) + g\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(10\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*s**6 + 21*s**2 - 4*s wrt s?\nAnswer: 12600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -35 (c) -4\/7 (d) -0.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 542470 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115117559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, f: 1, g: 1, r: 2}. What is prob of sequence fr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:49 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 43775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214327\/52270 - -2\/5227. What is the common denominator of k and -71\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:09 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -62. Suppose 0*n - 4*n = f*r, -5*n = -4*r + 18. Solve 2*d - 5*c - 22 = -c, -r*d - 4*c - 10 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -414, -412, -410, -408, -406?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 155*n - 4656. Let k be c(-26). Solve k*p = 105 + 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 108*r - 68. Let v(m) = m + 3. Let s(q) = l(q) - 3*v(q). Is s(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 13. Let p(u) = -u + 1. Let t be p(-3). Suppose -t*l + 34 = -10. What is the remainder when z is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 12:21 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35301)\/(-35) - 6 - 4\/(-10). What is the tens digit of 0 - (x\/(-7) + (-6)\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15265358 or 15265359?\nAnswer: 15265359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-6)*(-28)\/(-70)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from aaahaaxxgaax.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose -40 = -4*o + z*y, -o - 4*y + 28 = -0*o. What is the lowest common multiple of 2 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138000 is divided by 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 48. Give o(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 61. Calculate the remainder when 74 is divided by (x\/(-1))\/(-13 - -11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37816430437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 2.3.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-22)*-59)\/((-205)\/2255).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 7*h - 9. Let g be 2*6\/(12\/2)*2. Let y be (-484)\/(-68) - g\/34. What is l(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/9, -5\/2, 1\/4, -0.19, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -41829?\nAnswer: 41827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27*(48\/(-9))\/2. Suppose i + 5*s + 12 = w, i - 5*s - 10 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.7 (b) -22 (c) -5 (d) -1\/2 (e) -2\/9 (f) -45\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -2. Let v = j - 7.6. Sort 4, -0.1, v in decreasing order.\nAnswer: 4, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/3)\/((-6)\/(-15)*(-180)\/216).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32016, -64022, -96030, -128040, -160052?\nAnswer: -192066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 83 + -4?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/(-20))\/((-1)\/5) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 19*l**2 + 19*l - 28. What is v(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 582 = 5*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 3*t**5\/20 - t**4\/4 - 3*t**3 - 382*t. Factor r(s).\nAnswer: 3*s*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5)*(-2100930)\/(-156) + -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23940682 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*n - 27, -2*j + n - 3*n = 24. Let k = 3 - -3. What is the units digit of (j + -1)*(-3)\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*l - 31 = 0, -l = 2*b + 3*b - 21. Let d be -1 + (-1 + 3 - 2). Put b, -2, d in increasing order.\nAnswer: -2, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 - 3*t**2)*(-2 + 2 - t)*(3*t - 2*t + 4*t).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44332211*q**3 + 332899016?\nAnswer: -132996633*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-884)\/(-238) - (-4)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 10560. Round i to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 5\/((-50)\/4)*-35?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b - 12. Let z be q(-13). Let t = z - -24. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 535*c + 1790*c + 1253*c + 15 in the form q + v*c and give v.\nAnswer: 3578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amd when three letters picked without replacement from damamkkkmdikmdkd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 405. Let u(t) = 73*t**2. Calculate r(u(n)).\nAnswer: -146*n**2 + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273853117?\nAnswer: 101, 2711417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0, 10978921?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*k - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + 1*sqrt(19) + 4)**2 - (sqrt(228) - (sqrt(228) - 3*sqrt(228) - sqrt(228)))\/sqrt(12)*5.\nAnswer: 28*sqrt(19) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 48*w**2 + 311*w - 632. Calculate the remainder when 114 is divided by i(-54).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422 + -421.772. Let p = q + 0.172. Suppose -3*l = -6*l + 12. What is the smallest value in l, 3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088587 rounded to three decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -17*l**2 + 0*l - 4\/3*l**3 + 0 + 1\/30*l**5 + 0*l**4. Factor m(u).\nAnswer: 2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -1247, -2807, -4991?\nAnswer: -7799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207580 divided by 41516?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 94. Let j(d) = 5*d**2. What is j(q(s))?\nAnswer: 20*s**2 + 1880*s + 44180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4*(-9)\/60)\/((-4701)\/(-1175) - 4) is divided by 228.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/870430 and -31\/727996?\nAnswer: 40039780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:25 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -7. Let w = -77 + 125. Suppose 0 = -2*d - 0*d + w. What is the highest common divisor of d and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -3, -63, -177, -363?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -82*d**2 - 9*d - 93. Let z(l) = -20*l**2 - 2*l - 23. Let u(i) = 2*w(i) - 9*z(i). Find the first derivative of u(k) wrt k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-10)\/105*(-28)\/(-12).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.01, 308638.\nAnswer: -0.01, 2\/7, 308638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.284 and -0.045?\nAnswer: 0.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*v**2 + 61*v + 3.\nAnswer: -(v - 1)*(64*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 - 5*l**2 + 156*l + 161. Determine v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.441021 microseconds in hours?\nAnswer: 0.0000000192891725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -10*n + 3. Suppose -4*l + 4 = -0*c + 2*c, 4*l - 5*c = 32. Let r(x) = 27 + 4*x + l*x**2 - x**2 - 23. Let q(m) = -m - 1. Determine n*r(j) + 4*q(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40636388, 40636389, 40636390, 40636391, 40636392, 40636393?\nAnswer: 40636394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3479 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a**2 + 4*a + 2. Let c(p) = 6*p**2 - 2*p - 1. Let o(q) = 9*c(q) + 4*z(q). Let r be o(-1). Suppose -174 = -r*l + 39. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) 5 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124*d**2 + 417?\nAnswer: 248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + ((-2*(sqrt(117) - sqrt(117)*1))\/sqrt(9))**2 + sqrt(130)\/(sqrt(10) + -2*sqrt(10))*-5).\nAnswer: -25*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*s + s = 8, 2*l - 5*s = -12. What is the first derivative of g**4 + 3 + 2*g**l + 4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3 + 17)*(-15 + 2*m**2 + 15 - 2*m**4).\nAnswer: -14*m**4 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17. Let j(n) = -n - 6. Let u be j(-6). What is the nearest to u in -0.3, t, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j + 4. Suppose 3*g + 21 = 2*q - 0, 2*q + 2*g = -4. What is l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.63 - 0.\nAnswer: -10.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -254, -881, -2112, -4151, -7202, -11469, -17156?\nAnswer: -24467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0316, 1\/3, -0.2.\nAnswer: -0.2, 0.0316, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 + 70962776*m**3 - 212888316*m**2 + 212888312*m - 70962770 = 0. Calculate m.\nAnswer: 1, 35481385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8884000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.57 + -1.44. Let d = 0 - -2. Which is the closest to 1? (a) d (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14164597.04 rounded to the nearest one thousand?\nAnswer: 14165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79045410 divided by -255?\nAnswer: 309982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, -9*o + 4788 = -8*o - 4*i. Is o a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -342, 0, 2, 272 in decreasing order.\nAnswer: 272, 8, 2, 0, -5, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-4 - 0\/(-2)). Suppose t*z - 16 = 3*z. Suppose 16 + 95 = l + z*m, l - 120 = -m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1397*n. Let s(j) = -j. Calculate y(s(h)).\nAnswer: -1397*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q - 42 + 19 + 23 - 18*q**4 wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676316837 - 0.1\nAnswer: -676316837.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b76 + 11?\nAnswer: 4b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 26*v - 48. Let s be q(24). Suppose 11 = 4*l - 5*h - 14, 0 = 4*h + 20. Solve s = -l*c + 4*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56773878 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/250*20*6*(-14)\/(-4200)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5277693211.9750817705 + -5277693233.3. Let b = h - 0.3750829405. Let g = b + 21.7. What is g rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, 3, -3\/43, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2320292585 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754848918 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124996611 divided by -115417.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -383950, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26160890801 plus 361?\nAnswer: -26160890440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193429423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662239 is divided by 110053.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwxy when four letters picked without replacement from {j: 1, x: 1, y: 1, r: 1, w: 1, o: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 30037966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.18 + 15. Let d = s - 4.82. Let a = -0.3 + -0.2. What is the second smallest value in d, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185318536105 plus 4?\nAnswer: 1185318536109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 132.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33123 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592 - 178*u + 385*u - 203*u.\nAnswer: 4*u - 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1461, 1463, 1465, 1467, 1469, 1471?\n\"Answer: 2*v + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 9*r - 18. Determine j(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4969*h - 200*h + 5502005 + 5*h**2 + 705*h - 399*h + 5415*h.\nAnswer: 5*(h + 1049)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m, 2*k + 2 - 4 = 2*m. Suppose 0 = i - 41 - 95. Suppose -t = -k*t + i. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5, 5 = -3*n - o - 3*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135.99997816 - 136. What is f rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*r = -37487435 + 37499711 for r.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(3 + 0 + 3)*(-43*g**2 - 5 + 17*g**2 + 23*g**2).\nAnswer: 18*g**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 6, f: 1, j: 1, m: 5}. Give prob of picking 1 f, 1 w, 1 j, and 1 x.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**50*w*w**(1\/14)*w*w**(1\/19)\/w assuming w is positive.\nAnswer: w**(26899\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**4*t)\/t*t)\/t)\/(t\/t**(12\/11))*t\/(t*t\/t**9)*(t\/((t*t**14)\/t))\/t assuming t is positive.\nAnswer: t**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 33*f + 28. Let n be i(17). What is the second derivative of -17*p - 57*p**4 + n + p + 14*p wrt p?\nAnswer: -684*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2525217 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*i - 1 - 4)*(-3 + 2 + 2).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)\/(sqrt(132)\/(sqrt(60)\/sqrt(5))))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/164854 and -79\/4.\nAnswer: 329708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0793 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9\/15*4865\/(-17514).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**3*z**3 - i**3*z - 14*i*z**3 + 1082*i*z - 3*z**3 wrt z.\nAnswer: -48*i**3*z - 84*i*z - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 4. Let r(c) = -c + 3. Let i(b) = -3*r(b) - 2*z(b). Let p be i(4). What is the third derivative of 7 - 7 + 2*h**p + 2*h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**5))\/(a*a**4))\/(a*a**(2\/23)*(a*a**5)\/a) assuming a is positive.\nAnswer: a**(-370\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*c = -7 - 5, -4*c + 28 = 3*d. Let s be (d\/12)\/(2\/6). Solve 5 = -4*r + s, w - 2*r = 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6 - 2*j + 4 - 4. Calculate the lowest common multiple of 22 and t(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 124 = -2*j, 6*v - 3*j = 2*v + 102. What is the lowest common multiple of 60 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3034, -3087, -3140, -3193?\n\"Answer: -53*v - 2981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-45)\/36) + (66 - 118384\/755)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**4\/4 + 13*m + 2. Let l be i(0). Suppose -65 = -4*d - l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 305210470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54945783 - 54945783 + 5*c**2 + c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34134.\nAnswer: 2, 3, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 19115*x - 10063*x + 4 - 4 as h + j*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 197 + 3 = 0. Calculate the common denominator of (-9)\/(-12) + 286\/40 and ((-4)\/(d\/81))\/(2 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 4:41 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 74. Suppose 0*j + 5 = j. What is the fourth biggest value in d, j, 2\/13, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*k = -45, 11 = 5*c - 3*k - 54. Calculate the lowest common multiple of 12 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6405024 kilograms in tonnes?\nAnswer: 0.0006405024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4833 = 143*m - 887. Calculate the remainder when m is divided by 0 + -3*(-28)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 90 - 38 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007265 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -345 (c) 18371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -19*m**4\/8 + 28*m**3\/3 + 5*m**2. Let i be y(-9). Suppose 7*k - 68 = i. What is the highest common divisor of k and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 30940877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3617703 and 1239?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 29*f - 2. Suppose -10*w - 14 = -3*w, w = c - 4. Let g(q) = 2232*q - 155. Give c*g(m) - 155*h(m).\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.43, -1132, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 2. Let n be c(-9). Suppose -n = 4*v + 5. Let h = 4 - v. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 87*q + 462. Give z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -569.1 + 569.5. What is the closest to -26 in -2\/13, 1, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/36 and (-626)\/(-72) - (3 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.04 and 137974.3.\nAnswer: 137979.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 773 = 821 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46274 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -7, -208, -2 in descending order.\nAnswer: -1\/9, -2, -7, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 13) in base 2?\nAnswer: 100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 106*n**2 - 1019*n + 1436. Determine b(8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - 0.04. Let x = 2\/279 - 841\/558. Is z <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(108) + 0 + sqrt(108) - (sqrt(12)\/(sqrt(4)*-1) + -2))**2 + 0.\nAnswer: 104*sqrt(3) + 523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 912193.4 litres?\nAnswer: 912193400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((8 - -1)\/3). Suppose m - 3*m + 10 = -4*l, w = 3*l - m + 8. Let r be 3 + (-15)\/(-3 - 2). Put 0, l, r in ascending order.\nAnswer: l, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 6*n - 2*b, 1745*n - b - 183 = 1740*n. Let r(j) = j**3 + 5*j**2 - 7*j - 3. Let t be r(-6). Solve -2*g - 11 = t*p - 4*g, -5*p - 5*g = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273767648.0000058 - -273767688. Let y = 39.906 - -0.094. Let r = b - y. Round r to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:55 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 271207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2844791 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1896496, 1896529, 1896566, 1896607?\nAnswer: 1896652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 3. Let i be t(3). Suppose -i*r + 5 = 2*r. Calculate the remainder when r is divided by (2\/1)\/(8\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8\/7)\/x)\/(x**(4\/5)*x))\/(((x\/(x*x**1))\/x)\/(x\/((x\/(x*(x*x\/(x**10*x))\/x)*x)\/x))) assuming x is positive.\nAnswer: x**(-383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2. Suppose 0 = -2*a - 4*s - 4, a - 2*s + s - 7 = 0. Let m(n) = -a*n + 4*n + 3*n. Give b(m(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w - 6. Give a(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 68. Let m(u) = u**2 + 3*u - 3. Let t be m(2). Suppose -t*y = -5*y. What is the remainder when f(y) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -3456422?\nAnswer: 3456426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*t + 5)*(41 - 5 + 14)*(-2*t - 3*t + 3*t).\nAnswer: -200*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 914.02 - -16.\nAnswer: 930.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 3*w**2 - 5*w**2 + (1 - 2*w - 1)*(3*w - 5*w + 0*w) + 113*w**2 + 654*w - 654*w.\nAnswer: 115*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 66. Suppose w = 3*v - 5*r, -3*v - 5*r + 23 + 9 = 0. Suppose -a = -2*a + v. Is a 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 yyyboooo. What is prob of sequence ybby?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183*0.09.\nAnswer: -16.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 1 - 4*d + 2*d**2 + 2*d**2. Let t = -12 - -14. Let x(j) = -j - 1. Let o(l) = t*g(l) - 2*x(l). Find the second derivative of o(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*m = 196, -13355*j + 13358*j + 42 = -m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069897 times -102?\nAnswer: -109129494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8.69 (b) 799 (c) 5 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-20)\/d)**(-6\/19) assuming d is positive.\nAnswer: d**(126\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 3*d - 3*c + 121, 3*d + 10*c = -106 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + 0.430099. Round m to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4419, 4383, 4335, 4269, 4179, 4059, 3903, 3705?\nAnswer: 3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52962610 to the nearest integer?\nAnswer: 7278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53788 and 833.\nAnswer: 376516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 20 = 0, p = 4*y. Let v = p + -18. Find the third derivative of -4*r**5 - 4*r**5 + 0*r**2 + 0*r**v + r**2 wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/34 in -4, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 4\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*w, 3*w - 20 = -0*w - 2*r. Suppose 9*b = 8*b + w. Is (-113)\/(-1) - (b + 0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/23 - 29\/69. Suppose y + 4 = 31. Let h be 2\/72 - (-6)\/y. Which is the smallest value? (a) h (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1416 and 15181290?\nAnswer: 60725160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -y + 10657, 0 = 60*y - 65*y - 5. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 2. Let u(q) = q**2 - 2*q + 3. Let b(n) = -n**3 - 22*n**2 + 22*n - 20. Let s be b(-23). Give s*d(w) + 2*u(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 3*d + 0*d + 0*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/866 - 31121\/9526. Let f be (-154189)\/210 + -2 + 5. Let q = f + 2173\/3. Find the common denominator of q and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 6*h**2 + 4*h + 1. Suppose 25 = -a + 6*a. Suppose -a*c + 5 = 40. Let d(t) = 4*t**3 - 11*t**2 - 7*t - 2. What is c*p(i) - 4*d(i)?\nAnswer: -2*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 + 10970*s - 32955 = 0.\nAnswer: -2197, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/11 in 1\/7, -1\/2, 396, -25?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 40, -53, -2, -3 in descending order.\nAnswer: 40, 5, -2, -3, -7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4236820, 4236826, 4236832?\n\"Answer: 6*v + 4236814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/((-180)\/240)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - 101?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 720 - 345. Let g = r - 103. Let w = -271.99783 + g. Round w to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.19 + -1.04. What is q rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2124 and -101\/2772?\nAnswer: 163548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v + 1\/2*v**2 + 2. What are the prime factors of d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202201220 (base 3) in base 7?\nAnswer: 203313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let i be -2 + 0 - 115\/(-5). Let g = -20 + i. Let n(h) = -2*h**3 + 2*h. Calculate g*n(a) - o(a).\nAnswer: -2*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 405040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 42*n = -546 - 1638 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -6, -22, -58, -120, -214?\n\"Answer: -d**3 - d**2 + 8*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10 = -66. Let b = -1629 - -1838. Calculate the highest common divisor of b and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, y: 1, z: 4, a: 5}. What is prob of sequence ya?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 1. Let g(z) be the third derivative of -z**4\/6 - 2*z**3\/3 - 211*z**2. Let m(t) = g(t) - 2*n(t). Give m(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 + y**4\/12 + y**3\/6 - y**2\/2 - 4*y. List the prime factors of l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + 17*k**2 + 8*k - 3. Let x be w(6). Solve -8*i + x = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhgoooh. What is prob of sequence hdgo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -640, -633, -614, -577, -516, -425, -298?\n\"Answer: a**3 - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 5) to base 16.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 3375 = 212*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 15. Let w be 2\/9 - 425\/(-153). Let f(z) = -z + 9*z + 4 - 6*z**2 - w*z + z**3. Give f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*d - s, -4*d + 3*s = -37 + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14877 is divided by 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75926 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 182*m - 207*m - 350 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*d - 81 + 68*d + 87*d + 112 + 293.\nAnswer: -2*d + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -48, 10, -9, 3 in descending order.\nAnswer: 10, 3, -3, -9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:51 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 2061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2. Let j(h) = -5*h**3 + 4*h**2 - 2*h + 1. Let t(m) = -6*m**3 + 5*m**2 - 2*m + 1. Let k(b) = -3*j(b) + 2*t(b). Determine k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542 - 311?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gamzy. Give prob of picking 1 y and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let z = 3.7 + -2.7. What is the closest to z in f, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1 + 3)*2. Suppose -42 = -4*w - 7*k + c*k, 3*w - 32 = -2*k. Suppose 14*f = w*f + 28. Solve 5*q + f = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*j**3 + 110*j**3 - 4 + 131*j**3 + 0.\nAnswer: 73*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 g, and 1 s when four letters picked without replacement from {g: 6, s: 4, x: 3}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v - 372. Let d be u(68). Suppose -45*j + 319 + d = 0. Let k(b) = 6*b**2 - 2*b - 2. Calculate the remainder when k(4) is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 0.01 (c) 11.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -h*w = 2*t - 13, 9*w - 7 = 4*t + 4*w. What is the remainder when 4 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjyjyyjyyy. What is prob of picking 2 y and 2 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/3 - 48800\/(-150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 + 121 + 34*a)*(2 + 0 - 3)*(0*a**4 - 3*a**4 + 2*a**4).\nAnswer: 34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*g - p - 51, 41*g + 4*p + 158 + 330 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92675 is divided by 92153?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1302.1009 + -1302. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 - 4*r + 14. Let i be g(10). Let z(n) = -3*n + 1. Let c be z(-1). Suppose c*s - 70 = i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(216)*-2 + sqrt(216) + sqrt(216)))\/(sqrt(144)\/(1*sqrt(363))) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*d + 54*d + 16 + 53*d + (1 - 1 - 6)*(12*d - 3*d + 4*d) to j*d + o and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 10*o**3\/3 + 2*o**2 - 14. Let j(a) = -a**2 + a. Let d(l) = b(l) - 4*j(l). Let k(n) = -2*n**2. Calculate d(k(m)).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000824964 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259922642*s**5 - 86755273*s wrt s.\nAnswer: -5198452840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -z + 2*b, 3*z + 2*z - 2*b - 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - -1) - (-116 - -122) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 4*x**4 + 3*x**2 - 6*x - 12. Let a(c) = 16*c**2 + 2. Calculate -8*a(g) + 3*z(g).\nAnswer: 16*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1210 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-8))\/((-4)\/(-424)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 15*c**2 - 14*c + 5. Let m be t(-14). Factor -4\/11*f**2 - 6\/11*f**3 + 0*f + 0 + 2\/11*f**m + 0*f**4.\nAnswer: 2*f**2*(f - 2)*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 256 + 15c54?\nAnswer: 160aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 8. Calculate the remainder when s(4) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/35 - q**4\/4 + 6*q**3\/7 - 10*q**2\/7 + 8*q\/7 - 21. Suppose h(w) = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/69)\/(-4*(-1)\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572.664 rounded to the nearest integer?\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4960 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(66)\/sqrt(6)*-3)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 6626*b - 6626*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139932 - 419845\/3. Let n(q) = -q**2 - 3*q - 1. Let u be n(-2). What is the common denominator of h and ((-9)\/(-5))\/(u - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384291, 2768571, 4152851, 5537131, 6921411?\nAnswer: 8305691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*a - w + 8, 4*a = 5*w - 1. Let i(f) = -2*f**2 - 6*f + 5. Let h(n) = n**2 + 6*n - 4. Let l = -2 - 0. Let p(v) = l*i(v) - 3*h(v). Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18871097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1582, 20, 3, -3, 5, 10 in descending order.\nAnswer: 1582, 20, 10, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 - 3*s**2 + 5*s + 3. Let a be q(-3). Let h = a + -48. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 1, a: 1, n: 2, q: 2}. Give prob of sequence anqn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 211010002?\nAnswer: 211002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 12*a**2 + 1 + 3*a**2 to the form q + v*a**2 + r*a and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-30 - -37) + -4 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7584*g - 7 - 7585*g - 43*g**3 - 6 + 2 to the form m*g + q*g**2 + z + v*g**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*d + 4*p, 3*d - 37 = 6*p - 4*p. Suppose -s = -2*u + d, 17 = 4*u - 0*s - s. Calculate the highest common divisor of 15 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 21. Let g(y) = -y**3 - 8*y**2 - 10*y - 6. Let p be g(-7). Let j be x(p). Let f be (-26)\/(-8) - 3*3\/j. Solve 4 + 7 = -4*i - f*c, 12 = 4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(1\/3)\/s)\/s*s*s)*(s*s*s*s**(-4\/9))\/s*s**(2\/7)\/(s\/s**(-1\/4)))**(14\/13))**(-21) assuming s is positive.\nAnswer: s**(-2219\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 - 362 = -16*k - 310 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.761 - -0.861. Let l = 0.29 + 0.01. Let s = l - 0.5. Sort z, s, 24 in descending order.\nAnswer: 24, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 68?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 16*h - 1384 = 0. Let p = h - -574. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(114)*1 + sqrt(114) + (sqrt(114) - 5*-1*sqrt(114)))\/((sqrt(108)\/(sqrt(12)\/sqrt(2)))\/(sqrt(3) + sqrt(48)*-1)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/100 + -179\/700. Which is the closest to 0? (a) -3 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + u**2 + 2*u - 3. Let x be v(1). Suppose -12 = x*b - 60. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r + 5. Solve -r*c - 3*z = 7, -2*z + 3 = c + 3*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 5 - 5. Let i(z) = -2*z. Suppose -30 = -s - 2*s. Let a(n) = s*m(n) - 6*i(n). Let y(w) = -4*w. Determine a(y(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*p**3 - 819770*p**2 + 2584640220*p + 397656360.\nAnswer: 5*(p - 6306)**2*(13*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u + 2. Let x(f) = 3*f - 24. Let g be x(14). Let c = g - 21. Let n(p) = -p. Determine c*n(w) - v(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(-4*(-2 + sqrt(700)) - sqrt(700))*4)**2.\nAnswer: -1843200*sqrt(7) + 40467456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/13 (b) 0 (c) 290 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 70*r - 16643. Solve -46*h - 49 = -r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**1)\/p)**(-2\/7)\/(p**(3\/2))**(-33) assuming p is positive.\nAnswer: p**(685\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurrrrkrrkrrrrruurku. What is prob of sequence uu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 9*c + 9. Determine p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (52\/14)\/((-3*(-25)\/90)\/((-1330)\/(-114)))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7192380010?\nAnswer: 2, 5, 577, 1246513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/28)\/((-14)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 7, s: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/12 + (-6)\/4. Suppose 2*j + k*j = -p + 440, -4*p = j - 88. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 29*k**2 - 14*k - 131. Let b be v(-31). Let g = 2378 + b. Is 69 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from brkffxss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6 + 3. Let q = i - 9. List the prime factors of (78\/24)\/((-2)\/q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -149532082, -299064166, -448596250, -598128334, -747660418, -897192502?\n\"Answer: -149532084*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28274.84 - -74.378\nAnswer: -28200.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 5171621.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.4 - -29.6. Let r = -39.66 - 0.34. Let l = p + r. Put 0.03, l, -0.5 in ascending order.\nAnswer: l, -0.5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 - 92136*y**3 + 26529639786*y**2\/5 - 159161254668*y\/5.\nAnswer: 2*y*(y - 115167)**2*(y - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 44403847?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**3 + 507*h**2 - 2382*h + 456.\nAnswer: 3*(h - 4)*(h + 38)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 3*s - 3. Give w(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 2. Let y(m) = m. Determine -h(b) - 3*y(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 42.82. Let h = g - -6.18. Let q = -1 + h. Which is greater: q or -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w**2 + w**3 + 4*w - 3*w - 38*w**2 to p + u*w**2 + s*w + x*w**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.519, -5, 118.\nAnswer: -16.519, -5, 118","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.41, 0.01, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(19) - sqrt(304)) + sqrt(19)) + 5*(1*sqrt(19))**2 + (sqrt(1216) + -1 + -4)**2.\nAnswer: -84*sqrt(19) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*h - 87*h**3 + 8 + 102*h**2 - 66*h**3 + 33*h**5 - 8 - 102*h**4 = 0. What is h?\nAnswer: -1, -10\/11, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16916 - 2057306\nAnswer: -2074222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w + 5*w. Solve -2*s = -w*s - l - 6, -5*l + 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 14*m + 23 - 80*m + 22*m**2 - 9*m.\nAnswer: 22*m**2 - 75*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 242055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 8*s - 334. What is the remainder when 1449 is divided by w(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1+936.35\nAnswer: 935.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -34. Suppose 0 = -3*j, -2*a - j + 60 = -0*j. Suppose -2*g + a = -6. Calculate the lowest common multiple of g and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170197\/295 + -1632\/59. Let l = w - -609. Calculate the common denominator of 24*-3*(-1)\/(-28) and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 4*q**3 + 21 - 12 + 28 - 2*q**3 - 18.\nAnswer: -4*q**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6774 = -9*q + 1158. Let l = -619 - q. Solve l*x + 2*f - f = -2, -x + 8 = 3*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17347316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:31 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (183\/3)\/(0 + (-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4648 (base 9) to base 4.\nAnswer: 311312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.33 + 0.33. Let u = -0.243 + -0.057. Which is the second smallest value? (a) 5 (b) -3\/14 (c) o (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1342240 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 2*f**2 + 4640200 + 4*f - 4639791.\nAnswer: -2*f**2 + 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5556 - 5266.1. Let k = i + -306. Let s = -6.5 - k. What is s rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let m(d) be the first derivative of d**3\/3 - d**2\/2 + d + 2. Let y(n) = 12*n**2 - 15*n + 15. Let w(j) = 15*m(j) - y(j). Calculate r(w(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -0.828349.\nAnswer: 0.01656698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89582693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 27. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - sqrt(153)*-2)\/sqrt(9)*1 + -3.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77651989?\nAnswer: 199, 390211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/23)\/w)\/w**(-10)*w**(-1\/5)*w**(-2\/77) assuming w is positive.\nAnswer: w**(78079\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79380774 by -3.\nAnswer: 26460258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -497, 5, -132, 14, -5, -1 in ascending order.\nAnswer: -497, -132, -5, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 1, r: 7, e: 3, f: 2, b: 2}. Give prob of sequence zje.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:14 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - n - 4, 4 = s - n. Let m be (-51)\/3*(-2 + s). Let a = 57 - m. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -13 + 36 - ((5 - 6) + -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 54 (b) 2\/7 (c) 11944 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 189*f = 24*f - 244 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 26, -1 in increasing order.\nAnswer: -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 12*v - 3961. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u + 190 = -23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143469, 143767, 144263, 144957?\n\"Answer: 99*o**2 + o + 143369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22711 (base 8) in base 11?\nAnswer: 72a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -80 + 8. Let a(v) be the second derivative of -v**3\/6 - v**2\/2 - v. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 3 + 2 + -3. Suppose 11 = 4*h - 3*j, -13 = -5*h + v*j - 0*j. Are h and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 445 + 255 = 0. Solve 7*f - 15 = d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5062 - 5062 - 11*y**2 + (y + 3*y - 2*y)*(0*y - 5*y + 4*y))*(1 + 0 + 0).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*f + 17. Let l(u) be the first derivative of u**3\/3 + 3*u**2 + 2*u + 77. Determine l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let z(y) be the third derivative of -7*y**5\/6 - 8*y**2 - 3. Give t(z(w)).\nAnswer: -140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2565 = -5*d, -c + 2*d + 117 - 756 = 0. Let x = 698 + c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -11. What is the third derivative of 9*d**6 + 28 + 3*d**2 + c*d**2 - 28 wrt d?\nAnswer: 1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -15. Calculate the least common multiple of 26 and b.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-140)\/(-6) + 18\/27. Let z = -28 + w. Put 0, 4, z, 5 in increasing order.\nAnswer: z, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.038 and 6005876?\nAnswer: 6005875.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-11527)\/688 - 1). Let r = i + 3\/688. Find the common denominator of r and -23\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11634.45 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -1 + -29 + 65 + -56\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100 + -1001010011100011010100?\nAnswer: -1001010011100101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 3:46 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53839477\/26 smaller than 2070750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 8 = 0, 8 = -670*k + 668*k + 3*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 10*u - 240.\nAnswer: 5*(u - 6)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000148107448 to six dps.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230 * -0.34.\nAnswer: -78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 8*o**2 - 14*o - 16. Calculate z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 3*g + 6. What is x(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 3, d: 3, e: 2, s: 6}. What is prob of picking 1 s and 2 x?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = -4*d + 1, 0 = 2*d + v. Let a be -5*((-3)\/5 + d). Let w(i) = 53*i - 17. Is w(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - 2 = 0. Let l(m) = 10*m + 4. Let q be l(o). Calculate the greatest common factor of q and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r - p - 53 = 0, 4*p = -2*r - 50. Let f be (-4)\/10 + r\/(-105). Let m be 4\/6 - (-26)\/(-30). Which is the second biggest value? (a) m (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -625, -540, -405, -220?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001626 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 75*f**2 - f. Let u(y) = -224*y**2 + 2*y. Let t(i) = -3*u(i) - 8*x(i). Let z(c) = -2*c. Calculate z(t(a)).\nAnswer: -144*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:59 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415763528.\nAnswer: 2, 3079, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 31 = -4*k, 3*h - 59 = 17*k - 37*k + 15*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/6 - (-6 - -9). Let d = -1.06 + 1.1. Let m = d - -0.96. Which is the closest to -2\/9? (a) -0.1 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11804614 divided by 31\nAnswer: 380794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p - 2. Let v(o) = 1344*o + 13. What is -6*b(f) - v(f)?\nAnswer: -1296*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + d2?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from fgnfiti?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -466465\nAnswer: -1\/466465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 71 - 19 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 459 - 131*o**2 - 906 + 447 as u + w*o + a*o**2 and give a.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 1845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + 26\/(-3). Let l(c) = -12*c**2 + 30*c - 10. Let b be l(5). Let a = b - -151. Is a at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*t**2*v - 8*t*v + 5*t - 102*v - 3 with respect to t.\nAnswer: 14*t*v - 8*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 5*w**4\/24 + 5*w**3\/6 - 10*w**2. Let t(x) = 4*x + 6. Let f(n) = 6*t(n) - 5*z(n). What is f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 173*a - 5799. Let y be k(114). What is the highest common divisor of y and 234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11657607 and 32520?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 123*j - 708. Let z be r(6). Suppose -3*s + 789 + 624 = 0. Let k = s - z. What is the highest common divisor of 57 and k?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 - (-8)\/(-2)). Suppose -b + 23 = z*w - 48, 2*w - 308 = -4*b. Suppose t - b = -26. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-6))\/((-1)\/(-3)). Suppose -4*z = n + 4, 4*p = 5*z + 25. Suppose p = -13*w + 9*w + 580. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/60635610 and 7\/87417.\nAnswer: 666991710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o\/(o**5\/o))))*(o**(-3)*o)\/o)\/(o**4*o*o**(-1\/10)\/o)*o**(1\/2)\/o**(-12\/7) assuming o is positive.\nAnswer: o**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 11*k + 56. Determine p(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 1:47 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**0))**(-20\/9)\/(s\/(s\/(s**2*s))*s\/s**1*s))\/(((s*s**(-6)*s*s*s)\/(s**8*s))\/(s\/(s*s**(1\/3)))**(-29)) assuming s is positive.\nAnswer: s**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4011 less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 + -0.06. Let d be (-5)\/2 + (-19)\/(-8). Let j = -0.7 - -0.9. Sort v, j, d in ascending order.\nAnswer: v, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfu when three letters picked without replacement from {f: 1, x: 2, q: 2, u: 3, t: 2, v: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1100010001101011?\nAnswer: 1100010001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 110, 129, 130, 107, 54, -35?\n\"Answer: -v**3 + 38*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by 3379.\nAnswer: -464\/3379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179004 = -55*k + 177849 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*t - 20 = 170*t. What are the prime factors of (-2)\/(0 + (-294)\/(-77) + t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17137 is divided by 217?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2026.5291 - 2027. Let g = t - -0.0289. Round g to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 15 = -15*l - 7*a, a = -5*l + 63. Solve 330 = l*q + 390 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368672 divided by 41?\nAnswer: -8992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 3*w**4 - 3*w**4 + 2 + 6*w**2 - 2*w**4 to the form a*w**2 + v*w + r*w**4 + g*w**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514198.3ml to litres.\nAnswer: 514.1983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 1016?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2798 = -3*f, 24*k - 20*k + 2*f = 11212. What is the least common multiple of 14 and k?\nAnswer: 19628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1560257395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3359 and 0.1497836.\nAnswer: -3358.8502164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53047.6 nanometers in centimeters?\nAnswer: 0.00530476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3852752 and 1888?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 2. Let g be k(0). Suppose 5*h + 317 = d - 6, -1248 = -4*d - g*h. Suppose -3*a + 872 = -d. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(0*o + 3*o - o)*(2 - 6 + 0).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**2 - 16*i + 16*i to z*i + v + p*i**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -248, -1059, -2388, -4217, -6528, -9303?\n\"Answer: 3*m**3 - 277*m**2 - m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17805*w**2 - 15960.\nAnswer: -35610*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 173, 266, 357?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/14 and (-1)\/(-2)*(-4 - (-228)\/52).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 49. Determine q, given that -36*q + q**5 + 34*q + q**4 - 2*q**5 + 3*q**d - q**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/6401 + -893339\/1152180. Calculate the common denominator of n and 41\/1242.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4785264.\nAnswer: 2, 3, 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1816, -1836, -1858, -1882, -1908, -1936?\nAnswer: -1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*3\/(9\/12). Suppose -5 = -0*h - h, 84 = c*l - 4*h. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(7) - sqrt(7) - sqrt(7)) + sqrt(7) + sqrt(7) + -2 + 1 - (5*((0 + sqrt(1008))**2 + sqrt(1008)) + -4).\nAnswer: -5040 - 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**1)\/a)**(-24))**(-31)*(a**(-1)\/a)**(-13)\/(a**(-2)*a**(-4)\/a*a) assuming a is positive.\nAnswer: a**1520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181\/((-4)\/(-4)) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201064 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 4, 0.06, 0, -4, -58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 4, r: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*i*x - 378*b**2*i - 11545*b**2*x + 3*b*i + 3*b*x + 157588*i + x - 11 wrt b.\nAnswer: 4*i*x - 756*i - 23090*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 39.8951217 milliseconds?\nAnswer: 0.00000006596415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - -593. Suppose -57*m + 55*m + x = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 + -0.4607. Round l to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -1.7. Let d = -1937\/4 - -487. What is the nearest to -2\/5 in 4\/3, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/569096 and 1\/160.\nAnswer: 11381920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 1 + 0*q + 1\/3*q**3 - 1\/2*q**2. Find the second derivative of g(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -64 + 1262104\/23384?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 7735913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/23)\/y))**(-2\/49)*(y**(-5))**(4\/5) assuming y is positive.\nAnswer: y**(-4558\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 170 = -26*f. Solve 0 = -2*s + f*z - 30, 5*z - 23 = s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3409 by 540.\nAnswer: -3409\/540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:55 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-14) - 2\/(-7). Suppose -s + 3 = 3*g - 4*s, -5*s = 3*g - 35. Suppose -g*l + 7*w = d*w - 85, 4*l + 5*w - 27 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - g. Let y be n(0). Let p(q) = 12*q + 7*q + y*q + 0*q. Let r(w) = -3*w. Calculate p(r(v)).\nAnswer: -57*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14f7c3fd - -4?\nAnswer: 14f7c401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 186 - 163. Find the third derivative of 88*m**6 + 180*m**3 - 180*m**3 + n*m**2 wrt m.\nAnswer: 10560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -273 in -7.685, -14, -0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 1. Let y(k) = 11*k - 1. Let t be -3*1 - 4\/1. Let r(n) = t*x(n) + 3*y(n). Calculate r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7024355 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 2:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(18)*3)**2 + sqrt(2).\nAnswer: sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12914726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 15*v - 36.\nAnswer: -(v - 12)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -597880\nAnswer: -597880.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0298 + 0.0702. What is the closest to p in -8, 0.05, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1655 and 13435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905644?\nAnswer: 2, 373, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, 47, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 22. Let z(k) = 3*k - 2 + 13 + 1 - 3*k**2 + 0. Let x(t) = t**2 - t - 6. Let r(h) = p*z(h) + 5*x(h). Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*y - 2*l, -15 = 3*y - y + 5*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*y + 25089 - 7377 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 729*t**3 - 1461*t**2 - 731*t.\nAnswer: t*(t - 731)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -273.8. Let r = i - 51.8. What is the smallest value in 3.3, 2, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 6.71, -0.5, 5, -0.06, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 2. Let l be y(2). Solve 5 - 1 = l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742312 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:12 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1248*d**3 - 10*d**2 - 12*d - 6. Let a(i) = -1247*i**3 + 11*i**2 + 14*i + 7. Calculate -6*a(j) - 7*y(j).\nAnswer: -1254*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a - 92*a - 8*a + 18*a.\nAnswer: -106*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*h**2 + 735 + 731 - 1465 + 3*h)*(4*h - h - h)*(-1 + 2 - 3)*(h**2 + h**2 - 4*h**2).\nAnswer: 968*h**5 + 24*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -533*p - 219. Let q(t) = -1069*t - 438. Let g(s) = 7*k(s) - 4*q(s). What is the first derivative of g(o) wrt o?\nAnswer: 545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 27. Let k be z\/(-13)*1\/5. What is the second biggest value in -5, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7012221 - 7012229 + 14024450 - 45*g**2.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 604146721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78952937.3 and 5?\nAnswer: -394764686.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwgwwwgfnwwwcfg. Give prob of sequence ww.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15113 = 2681*z - 2554*z. Solve 17*d - z = -255 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2104127, -4208255, -6312387, -8416523, -10520663?\n\"Answer: -2*p**2 - 2104122*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 345223402 + 80483941 = 63627343. What is l rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3672958 to 3 decimal places.\nAnswer: -6.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1355*b**2*f**2 + 2*b**2 - b*f**2 - 112*f**2 wrt b?\nAnswer: -2710*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/((h\/((h*h\/(h\/(h\/h**(-7)))*h)\/h))\/h)*h\/(h**(1\/7)*h)*h*h**(8\/3)*h*h assuming h is positive.\nAnswer: h**(410\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3004594*a*f - 42772*f + 5 wrt a?\nAnswer: -3004594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -1\/6934, -0.5 in increasing order.\nAnswer: -0.5, -1\/6934, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 2*u**4 - u**4 + (-2 + 3*u + 2)*(-4*u**3 + 0*u**3 + u**3) + 4*u**4 - 6*u**4 + 3*u**4 + 60*u**3 + 2*u**2 - 60*u**3 + 41*u**4.\nAnswer: 29*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (-16 - -13 - 19 - -25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4833 - 6*l**3 - 2*l**2 - l**2 - 4*l - 4831 as t*l**3 + g*l + q + i*l**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, l: 6, w: 1, c: 4, b: 3, s: 2}. Give prob of picking 1 l, 1 w, and 1 s.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.95. Let m be -5 + 514\/112 + (-4)\/(-14). Which is the biggest value? (a) -2\/13 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52451 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 6, h: 1, z: 7, i: 2}. What is prob of sequence izai?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5*v + 14770*p**4*v**2 - 6077*p**2*v**2 + 9*p**2 wrt p?\nAnswer: 120*p**2*v + 354480*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2596, -6401, -11404, -17611, -25028?\n\"Answer: -r**3 - 593*r**2 - 2019*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:19 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, 1, -14, 4, 8.\nAnswer: -14, -0.3, -1\/6, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -587 + -221171052001?\nAnswer: -221171052588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 10) to base 4\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 2*u + 3 + 10*u - 6. Let y be t(8). Let n = 44 - y. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*g + 35, -2*w - 2*w - 4*g = -60. Suppose 0*b - 430 = -w*b. What is the least common multiple of 11 and b?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1482 - -3116. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 92*t - 29. Let h(x) = 2*x**2 - 46*x - 15. Let z(a) = -7*h(a) + 4*o(a). Let w be z(-23). Let j(r) = -r**2 - 11*r - 4. Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 942074*q**3 - 2*q**2 - 2730719 wrt q?\nAnswer: 5652444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27570 is divided by 466.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2262, -4468, -6674, -8880, -11086?\n\"Answer: -2206*j - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1054168 - 65\nAnswer: -1054233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5685444, -22741808, -51169092, -90967302, -142136444, -204676524, -278587548?\nAnswer: -363869522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(57)\/(sqrt(3) + sqrt(108)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - 0.08. Is 11 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/149910 and -113\/42606?\nAnswer: 4047570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 11*v - 11. Let l be a(7). Suppose 32 = -4*d + l. Find the second derivative of -d*p**2 - 18*p**2 + 69*p**2 + 17*p wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7154?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 8848.\nAnswer: 79632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166887 to the power of 1\/2, to the nearest integer?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -981*n**3 + 45*n**5 + 981*n**3 + 3*n**2 - 3*n**2 - 2*n**5 + n**5 + 2*n**3 - 2*n**3 + (-2 + 2 - 2*n**5)*(1 + 0 + 1).\nAnswer: 40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (8\/(-4) + 2). Is ((-1)\/r)\/(4\/432) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 3*h**2 - 3*h**2 + (-1 + 1 + 2*h)*(-2*h + 0 + 0)*(-5 + 3 + 0) in the form r*h**2 + g*h + l and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 328382215 a multiple of 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 500686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24545 + -1?\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + -23. Let z = -676\/9 - n. Let m = 159\/35 + -22\/5. What is the third smallest value in z, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 1. Let m(g) = -g. Let v(x) = l(x) - 2*m(x). Suppose -168*a + 185490 = -165*a. Let u(w) = 61830 - a + w. Determine v(u(y)).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 37. Sort -5, l, 1, 5 in increasing order.\nAnswer: -5, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70, 272, 616, 1108, 1754?\n\"Answer: f**3 + 65*f**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 2*s - 13*s**2 - 2221*s**2 + 529*s**2 to the form i + y*s + w*s**2 and give w.\nAnswer: -1705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8 - -2) + (1300\/30)\/((-4)\/(-1794))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68391946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6246.3 * 0.1\nAnswer: 624.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*z**2 + 2*c**2*z - 11*c**2 - c*z**2 + 2*c*z - 112*c + 7 wrt c?\nAnswer: 8*z**2 + 4*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Suppose -q*y = -5*y - 33. Suppose 2 + 6 = 4*l, -5*m - 4*l + y = 0. Solve f + 11 = 4*h, m*f = -h - 3*h - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 + 67*t**2 - t**3 - 6*t + 60*t**2 - 132*t**2. Let c be k(-4). Suppose 0 = -2*j - 4*r + 872, 0*j + 4*r + 2250 = c*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/5*92\/6 and (2\/7 + 0)\/(1992\/102837)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 * -7\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 4)*(2\/10 - (-567)\/(-810)). Solve 26*c - 13*c - 78 = b for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 20746704*q + 35868810571968.\nAnswer: 3*(q + 3457784)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*t - 1)*(-2*t - 5 + 5) + 0*t**2 + 4*t**2 - 3*t**2 + (2*t - 4*t + 0*t)*(-t - 3*t + 2*t).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92919.13 centuries in years?\nAnswer: 9291913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148, -14, -176, -338?\n\"Answer: -162*w + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r - o - 15 = 0, -2*r - 2*o + 2 = 0. Let t(k) = 119*k. Let v(m) = 5*m. Give r*t(u) + 98*v(u).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 13) to base 15.\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1911?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -822 at least -804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/2111, 2, 0, 19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 111 (b) -1\/6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4*q = 32. Suppose -q = 3*a - 32. Let l = 11 - a. Let b(d) = d**3 - 5*d**2 + 3*d + 2. Calculate b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99143?\nAnswer: 11, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1165.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -333 in -3, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -198, -305, -412?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose a + 1 = -b. Put -2, a, -5 in descending order.\nAnswer: -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1462? (a) 0 (b) -0.1 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*7\/7)\/(1\/(-2)). Is 11 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19. Suppose 0 = -5*f + 2*x + 35, 0 = 2*f + x - 15 + w. Suppose 0*i = f*i. Solve -n = 3*y - 10, 4*n + i*n + 4*y - 16 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**2 + 9 + 1\/3*b**3 + 5*b. Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**2 - 5*q - 5. Let p be (-15 + 16)*(-10)\/2. Let n(b) = 4*b**2 + 2*b + 2. Let l(w) = p*n(w) - 2*o(w). Let m(y) = -2*y. What is l(m(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 + 4*b**3 - 4*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7686 + -7684. Solve 0*g + 3*g = s*x + 3, x + 6 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390031405.\nAnswer: 5, 78006281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 3*o**2 + 1. Let k(g) = -2*g**3 - 4*g**2 + g - 2. What is -3*k(s) - 4*p(s)?\nAnswer: 2*s**3 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03071 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*o + 4, o - 8 = f - 4*f. Suppose f*u = -3*d - 25 + 147, 162 = 4*d + 5*u. Suppose -a = -d - 15. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393975816469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -30*u - 3. Let t(m) = -128689*m - 1. What is y(t(g))?\nAnswer: 3860670*g + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011101 (base 2) to base 10.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298729 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 - -0.0122.\nAnswer: 1.4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -19.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 3*r - r. Let o(k) = 4*k + 5. Let w(l) = 20*l + 24. Let h(t) = -24*o(t) + 5*w(t). Calculate f(h(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + w = -0*h + 3, -h + 4*w = 12. Solve 3*p = -h + 12, -2*p = -5*u - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5654 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.005 - 0.079. Let c = 7.784 + l. Round c to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4. Calculate the remainder when i is divided by (-9)\/2*4\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/((-30849)\/1314) + -1. Let x = y + 2\/113. Which is the nearest to 0? (a) x (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(1\/2)*t)\/t)\/t)**(-2\/19)*((t\/(t**(-2\/7)*t))\/t*t)\/t**(-3))\/((t*(t**1\/t)\/t*t)\/t**3*t**(2\/3)*t**(1\/8)) assuming t is positive.\nAnswer: t**(14513\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1*-1)\/(104\/19552*2350).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/5 + 656*i + 537920 = 0.\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (1 + sqrt(300) + 2)**2.\nAnswer: -309 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403152 is divided by 959?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 - 5*t - 1. Let c be 142\/(-20) - ((-132)\/120 + 1). Calculate l(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 4*u + 1. Suppose 4*i + y = -y, 3*y - 3 = -3*i. Let m(g) be the second derivative of -g**3\/6 + g**2\/2 + 26*g. Calculate i*c(k) + 3*m(k).\nAnswer: 2*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.9 - 0.9. Let g = -10.28 + s. What is g rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 3*f - 2. Let z be o(-3). Suppose 10 = -3*p - 2*s + 28, 0 = -p - 4*s + z. Suppose -3*x + p*x = 2. Solve 0*j + 6 = x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 730370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2548\/(-5) - 24\/(56\/(-7)). Let c = r - -128863\/255. What is the common denominator of c and -1\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 116 in -0.2, -1, 2\/5, 220, -0.3?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3229, -3332, -3441, -3556?\n\"Answer: -3*d**2 - 94*d - 3132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366 by 422100.\nAnswer: 61\/70350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92046243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (1*sqrt(117) - sqrt(117)))*-2)\/(sqrt(9) + sqrt(9)*-2*-5).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 10}. Give prob of picking 3 w.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, d: 2}. Give prob of picking 1 u and 2 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7752670996 and -3448?\nAnswer: 7752667548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2. Let d be (30\/(-75) + (-2)\/(-5))\/2. Let n be r(d). Calculate the least common multiple of ((-8)\/5)\/(-3*n\/(-30)) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 + 9*o)*(-26 - 36 + 45) + 2*o + o - o + (2*o - o + 0*o)*(4 + 1 - 3) + o + o - 3*o to the form a + q*o and give q.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 696.2, 14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17202 less than -0.02?\nAnswer: -1.19202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*-9*10\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/7 + 192*x**4\/7 + 738*x**3\/7 + 156*x**2 + 723*x\/7 + 180\/7 = 0. What is x?\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 5) to base 6.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a**(2\/35)\/a)\/a)\/a))**10\/(a\/(a\/(a\/a**(11\/2)))*a**(-2\/21)) assuming a is positive.\nAnswer: a**(1849\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c - 3. Let w be n(2). Let g = 2 - w. Let h be g\/(-4 - -2 - -1). Sort -4, 2, h.\nAnswer: -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - 38.2. Let f = -40.00027 - z. Round f to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*m**6 + 2*m**5 + 1949*m**2 + 2.\nAnswer: 25560*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4733 + 7.4733. Which is the nearest to -56? (a) q (b) -7 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 2, h: 1}. What is prob of sequence hb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -33*y + 169. What is u(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/35*0 + (-1)\/(-2). Put n, 1\/5, -8 in ascending order.\nAnswer: -8, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae (base 15) to base 16.\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46440227285 - -2.\nAnswer: -46440227283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 60683610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 890672 and 1096?\nAnswer: 122022064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352025 is divided by 117200.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11221*n - 11208*n + 22427*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u - u**3 + 0*u - 7 - 7*u**2 + 2*u. Suppose -13 = 2*f - 1. Let w be a(f). Is -2 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p**2. Let r(z) be the second derivative of z**4\/12 + z + 4. What is r(c(u))?\nAnswer: 121*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 256, 517, 780, 1045, 1312, 1581, 1852?\n\"Answer: k**2 + 258*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 7659277?\nAnswer: 48\/7659277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 419*l**2\/2 + 292*l - 339. Find the first derivative of v(r) wrt r.\nAnswer: 419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-256 - -251)\/((-2)\/(-66)). Put 3, 4, t, 5 in decreasing order.\nAnswer: 5, 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-3)\/(3\/4). Suppose -5*q = -3*h - 44, 0*h - 3*h - 37 = -4*q. Let f = a + q. What is the third biggest value in -3, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75756?\nAnswer: 2, 3, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, -5, 50, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15770*v**2 - 3555 wrt v.\nAnswer: -31540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.13 - 12. Sort 2\/5, 4\/9, 3\/2, f.\nAnswer: f, 2\/5, 4\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -749*h - 1353 - 1656*h - 1118*h + 696*h wrt h?\nAnswer: -2827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(1\/3)*m**(-1\/5)*((m**(-6\/11)\/m)\/m)\/(m**(1\/2)\/m))**(-8) assuming m is positive.\nAnswer: m**(764\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -2. Let u be (-1200)\/180*((-1)\/(-4) - 1) - 5. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/686 and -125\/6792?\nAnswer: 2329656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 1\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -35. Let n = 35.1 - m. Let g = -3 + 3. What is the second biggest value in n, 0.03, g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3 + o**2 - 5710*o - 5337?\nAnswer: 6*o**2 + 2*o - 5710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77 and 65.\nAnswer: -5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 49*m - 738. Calculate the smallest common multiple of 4 and q(-12).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from oyyyyooryororyyyoo?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**3 - s**2. Give w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -43. Let t = 7 + -4. Suppose -t*n - n = -y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -386 less than -386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*k - 12 = p + 263*k, k + 9 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Is -1 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-164.4.\nAnswer: -32.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10 - (298293\/(-5) - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d. Let g be w(1). Let y = 8 + g. Suppose 4*z - 11 - 41 = y. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i**3 + 0*i)*(194 + 72 + 30 + 297).\nAnswer: 1779*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -270 + 670. Calculate the highest common factor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, s: 4, n: 2}. What is prob of sequence jnjj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -1 + 1 + sqrt(1088).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 12927*f**2 + 1 - 12927*f**2 - 1.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2484*p**2 + p + 3. Let h be v(-5). Let c = -111098 + h. Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 2*q - 1. Let l be o(2). Let s = -44 - -39. What is the third smallest value in s, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -3112?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/10 - t**4\/2 + t**3 - 5*t**2\/2 + 57*t. Let x(r) = -3*r**3 + 7*r**2 - 7*r + 6. What is 7*h(n) + 6*x(n)?\nAnswer: -4*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 3 + 0*v + 8*v**2 + v**3 - 5. Let h(w) = -7*w + 70. Let n be h(7). Suppose -31*x - 70 = -n*x. Calculate u(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*t + 19 = 9*g, -t - 8 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-9)\/9*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 30 = 3*r. Suppose 0 = -0*o + 3*o - r, -539 = -3*i - o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37960 and 88931739?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgoageehgoaaad. What is prob of sequence hahe?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10640680 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 635469655 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x + 0 - 2\/3*x**3 - x**2 + 7\/30*x**5 + 5\/12*x**4. Suppose j(s) = 0. What is s?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -d + 11, 0*x - x + 22 = -2*d. Let l(q) = q**3 + 9*q**2 + 7*q + 5. Let z be l(d). Let t = -21 - z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715985922.\nAnswer: 2, 3, 119330987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004225096119 rounded to five decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007022 is divided by 233.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8664 divided by 3.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:41 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.056 - -0.156. Let v = -0.3 + 0.8. What is the closest to -0.2 in v, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 42. Let x = g - 2. What is the biggest value in x, 5, 3\/7, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36248 = 3*n + 4*r - 0*r, 3*r = 2*n - 24154. Suppose n = -176*o + 192*o. What are the prime factors of o?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/13, 3\/5, -295, 7\/2, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 61, 84, 123, 184, 273, 396, 559?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3528)\/756)\/((-273)\/54).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204866 - 204862. Let d = -0.3 + -0.7. What is the third biggest value in s, -17\/6, d, -4?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2\/3*3 + (-46358 - 10)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-7 + -1 - (-69 + 51) - (0 - 5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -585 - -585. Suppose -5*u + 26 = 4*r, -7*u + 6*u - 2*r + 10 = f. Solve 4*n + 3*c = -u*c + 4, 5*c = -3*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2214 divided by -3.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-14) + (-22)\/(-4). Suppose -2*k - 23 = a*b - b, -b - 2*k - 11 = 0. Let l(o) = 6*o**2 + 2*o - 4. What is the remainder when l(b) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 72*z + 1. What is k(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.8 + -7. Let m = c - 3. Sort -5, m, -1.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4347570 by 5.\nAnswer: -869514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 39*n - 47*n + 9*n + 44, 0 = -r + n + 16 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*((19 - 17 + 31)*(-6 + 6 - y) - y + y + y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006861 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z**2 + 0*z)*(11*z + 7*z**3 - 11*z) + 289*z**4 - 59*z**5 - 289*z**4.\nAnswer: -52*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 27*b = 26*b. Let h(o) be the third derivative of 0*o - 5*o**2 + 7\/24*o**4 + b*o**3 - 7\/60*o**5 + 0. Find the second derivative of h(z) wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (95\/40 - 7) and 51\/(-4)*2\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(((q\/(q*q**33))\/q)\/q*q)\/q*q)*q*q**(7\/6))**(-10\/11))**(3\/10) assuming q is positive.\nAnswer: q**(-217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**3 + 0 + 0)*(-4*j + 25*j - 2*j) - 1 + 3 + 0*j**2 - 4*j**2 + j**4 in the form l*j + s*j**3 + k*j**2 + h*j**4 + v and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*j**2 - 2 + 1 - 67*j**2 - 1.\nAnswer: 6*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r + 2)*(-5 - 3 - 5) + (-4 - 3*r + 4)*(-7 + 3 + 5).\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from {u: 5, t: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17590 and 23778162.\nAnswer: 3518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.06, 0.3, 0.4, -4\/3 in decreasing order.\nAnswer: 0.4, 0.3, 0.06, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = -8, 23 = -3*f + 2*z. Let j = 7 + f. Let s(h) = 11*h - 10*h + 2*h**3 - 3*h**2 - 3*h**3. Determine s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let d = 3670.9 - 3667. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1408 and -103\/704.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858195561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 161 + 17 = 0. Solve j + v = -2*q - 2*q, 8 = -2*q - 3*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1594471309 rounded to three decimal places?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*n + 12820 = x + 58*n, -5*x + 64142 = 4*n. Calculate the highest common factor of 372 and x.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Find the third derivative of v**4 - 36 + 2*v**q + 36 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -1.1, 5\/2, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:40 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7035255 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 19. Let j be d(-3). Suppose -5 + 26 = 3*z. Suppose z*l + 891 = j*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 16.25. Let y = w + 17.95. Round y to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9*m - 2325. Let c(p) = -7 + 867*p + 8 + 325*p + m*p. Let k be c(7). What is k rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from vvmvmqvmmhqmvvmhmmm?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131325340 + -11?\nAnswer: 131325325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170442456*f**2 + 246498757*f wrt f?\nAnswer: -340884912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 168608.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56, -5, -2 in increasing order.\nAnswer: -5, -3, -2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1491.\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 - 58*t - 153. What are the prime factors of n(28)?\nAnswer: 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1953 = 1965. Solve j + d*j - 3*l + 26 = 0, -3*l = 4*j + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -5*(-7)\/(-105). Which is the biggest value? (a) 7\/6 (b) j (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*j**3 + 2440 - 3675 - 123*j**3 + 1235.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**3 + 1 + 4 - 5 - 41*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1067*h**2 - h**3 + 12*h - 1067*h**2 to m*h + v*h**3 + c + z*h**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.47826 to 2 decimal places.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v - 2. Let f be s(5). Suppose -2*j = -4*q - 2, -2*j - 3 = j - 4*q. What is the biggest value in f, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, g: 5, j: 1, b: 2, w: 5}. Give prob of picking 1 w and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/6 - (-7)\/21 - -542. Suppose 27*q - 32*q = -f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5014113*n**3*u + 76148*n*u + 3*n wrt n.\nAnswer: 30084678*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.948 (b) -0.4 (c) -2076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 16677?\nAnswer: -16674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -2063\/9. Let r = -11 - -56\/5. Sort -1, l, r.\nAnswer: -1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*v + 4. Let g(i) = -i - 1. Let f(b) = -14*b - 10. Let y(p) = -2*f(p) + 22*g(p). Calculate the lowest common multiple of 4 and y(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26068 - 26065. Let c(k) be the first derivative of -5\/2*k**2 - 1\/3*k**l - 52 + 6*k. Give c(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0*t**3 + 0*t**5 + 0*t**4 + 6*t + 0 - 11\/2*t**2 - 7\/30*t**6. Find the first derivative of r(n) wrt n.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.6. Let f = q - -0.5. Is 0.1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b - 19*b - 33124 = 0. Is 370 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 39950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1565193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 102, -2\/17, -1, -2, 125?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16605 is divided by 2620.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucucuucccuuuuccu. Give prob of picking 2 c.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - 4) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/243 + -2287\/486. What is the common denominator of 101\/10 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240430432 (base 5) in base 4?\nAnswer: 202001322212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 14027650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2584 minus -90?\nAnswer: -2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*b - 3 + 8 - 2.\nAnswer: -3*b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, h: 1, k: 2, c: 2}. Give prob of picking 1 l and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439317009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxxxzxxxxzxxxxxx.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in 5, -3\/29, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**5*z + 2*r**5 - 898*r**3 + 415*r**2*z - r**2 + r*z wrt r?\nAnswer: -240*r**2*z + 120*r**2 - 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*c + 575*c + 147*c.\nAnswer: 611*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**2 - q + 3. Determine a(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208707269533 take away 2?\nAnswer: -1208707269535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -f - y, f - 168 = -3*f + 4*y. Let h = -31 + f. What is the highest common divisor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -2*r + 1\/12*r**4 + 0*r**5 + 0*r**7 + 0 + 0*r**2 + 0*r**3 + 1\/28*r**8 + 0*r**6. Find the third derivative of o(p) wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31263 (base 10) to base 11\nAnswer: -21541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 26*r + 263. Give l(-36).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p + 29. Let y(v) = -8*v + 33. Calculate -5*i(j) + 4*y(j).\nAnswer: 8*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {g: 3, z: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q - 45*q - 10 + 2*q**3 - 31*q + 150*q - 40*q - 5*q**2. Let z(r) = 2*r**3 - 6*r**2 + 6*r - 11. Calculate 6*b(c) - 5*z(c).\nAnswer: 2*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*10\/(-15)*-4*(117\/(-24))\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41)\/(-3*(-1)\/(-3)). Let l = r + -31. Suppose 3*g - 3 = 15. Solve g = -4*o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920042.\nAnswer: 2, 631, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1219*n. Let u(h) = -1667*h**2. Determine w(u(d)).\nAnswer: 2032073*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 897, 0.21, 7 in increasing order.\nAnswer: -3, 0.21, 7, 9, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -142, -440, -1024, -1990, -3434, -5452, -8140?\nAnswer: -11594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 672*w**5\/23 - 1712*w**4\/23 - 8118*w**3\/23 - 9178*w**2\/23 - 4020*w\/23 - 576\/23 = 0.\nAnswer: -1, -3\/4, -2\/7, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 12*o - 1188. What is the remainder when o is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -2184.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -8. Let l be ((-3)\/(-5))\/(c\/10). Let b(q) = q**3 + 5*q**2 - 7*q - 6. Let i be b(-6). Is i < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4*36\/(-3). Let q be (1\/2)\/(d\/(-4308)). Let u = q + 5823\/8. Find the common denominator of u and 27\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2, o: 1, u: 1, x: 1}. Give prob of sequence ul.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 210*s**2 + 2*s + 210.\nAnswer: -2*(s - 1)*(s + 1)*(s + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 2*u - 1. Calculate q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 304, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600432401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*d = 124*d - 21. Solve -4*p + 6*p + 16 = d*u, 2*p = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 50. Let n be u\/15*20\/(-8). Sort n, -4, -3 in decreasing order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -9, -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -357411 or -357390?\nAnswer: -357390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 22, 322, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (1 + sqrt(405))) + sqrt(405) + sqrt(5) + (1 + sqrt(5))*-2 + 1*sqrt(245)*3 + -2*sqrt(245)*1)**2.\nAnswer: -90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*34*12\/408\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 83, 737, 2539, 6071, 11915, 20653, 32867?\n\"Answer: 97*j**3 - 8*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/810)\/(-7)*196 - (-100)\/125. Put q, 47, 3, 0.1 in ascending order.\nAnswer: q, 0.1, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q - 9*q - 1 - 29*q - 2*q**3.\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 > -22535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952864?\nAnswer: 2, 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.05 - -0.05. Let a = n + 8. Let f = -2 + a. Sort -1, 0.2, f in ascending order.\nAnswer: -1, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m**3 + 0*m + 0*m + 6*m**3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 19336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Let s = z + 0. What is the nearest to -1 in 1, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1388 + 2\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1786*h = -181*h + 13633 + 8837 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2197887 divided by -3.\nAnswer: -732629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*i + 250, -98 = -3*i + 5*w + 128. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*y - 12, 2*y = l - 3*l + 6. Suppose n = -x - 2, 5*x + 4 = -l*n - 3. Sort 2, x, -2.\nAnswer: -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*j + 4, 0*j = 5*r + 4*j + 2. Put r, 1, -3 in decreasing order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4652385 to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*d - 1 + 2*d + 30*d - 579*d**3 as a + f*d + n*d**2 + s*d**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let d(m) = 57*m + 3. Give s(d(k)).\nAnswer: -114*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2041 - -10344242?\nAnswer: 10342201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 18107*j + 18107*j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2080706 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {u: 2, w: 1, f: 4, l: 1, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 582997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*n**2 - 18*n**2 - 15*n**2 in the form b + h*n + j*n**2 and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 8. Let o = 18475.5 + -18476. What is the third smallest value in 0.8, o, t?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 18 = -8*w. Solve -q + w = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545 + 13?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -3 + 2 - ((sqrt(475) + 2 + sqrt(19) - sqrt(19))**2 - (sqrt(171) - (sqrt(171) + 0)))) + 3.\nAnswer: -477 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -25434641?\nAnswer: 25434644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.94. Let o = 0.46 - k. Let c = -0.06 + 0.05. Put c, 0.2, o in increasing order.\nAnswer: c, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.9 - -22. Let y = m + -3.5. Let g = -0.6 + y. Which is the second smallest value? (a) 0 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -484*l**2 + 19*l - 35. Let j be q(3). Round j to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*t - 218*t - 21*t + 10846 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9))\/((3 - 2)\/363). What is k rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 263.0159 kilometers?\nAnswer: 26301590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*38*3*(-32)\/(-144).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35428 or 728?\nAnswer: -35428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75.42 + -75.62. Suppose 3 = -3*d - 0. Let r be (4\/(-3))\/(d\/3). What is the biggest value in r, -5, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15798, -4, -23.\nAnswer: -15798, -23, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.8853 + -0.0147. Let w = h - -17. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-42))\/((-8)\/(-12)). Let f = -21 + 19. Let k be (3 - (f + 3))\/(-2). Which is the closest to k? (a) -2\/5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 4, f: 1, m: 2}. What is prob of picking 1 m and 3 b?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 4*w + 3. Let a be m(-4). Suppose u + 2*s = -5, 0*u - a*s = u + 8. Let d be -8*u*(-2)\/4. Is d greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**2 - 20*l**2 - 28 + 62 - 34.\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 145 = -16*h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) -2\/5 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 44\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-16\/5)*(q\/q**(-1\/3))**(2\/11) assuming q is positive.\nAnswer: q**(172\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, -4, 242 in decreasing order.\nAnswer: 242, 8, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1c64?\nAnswer: -1c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29613*o + 11350*o + 10992*o)*(-2 + 2 - 3*o) to the form i + z*o + j*o**2 and give j.\nAnswer: 21813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 6, f: 1, i: 1, g: 3}. Give prob of sequence rrr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727 - 723. What is the highest common divisor of 39 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2. Let t(v) = -1066*v - 1. Calculate u(t(r)).\nAnswer: 6818136*r**2 + 12792*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, -20312 in descending order.\nAnswer: -0.2, -2, -20312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (1*sqrt(15))\/sqrt(5))*-3.\nAnswer: -3*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -16. Let r = f + -5. Suppose r*o = -0*o + 5. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t**4 + 0*t + 33*t**2 + 1\/90*t**5 + 0*t**3 + 0 - 1\/630*t**7 - 1\/360*t**6. Factor c(v).\nAnswer: -v**2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 3*y + 2*y**5 - 3*y + (-3*y + y + 0*y)*(y**4 - y**4 + 4*y**4).\nAnswer: -6*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168405746 is divided by 624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -6. Suppose -3*b = 18 + q. Let u = -2 - b. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663172 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from mmlmmmtmltftttmmmft?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266894 divided by 3.\nAnswer: -266894\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -31. Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 95, 420, 1105, 2288?\n\"Answer: 23*u**3 - 27*u**2 + 23*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((7 + -7)\/4)\/(-4). Solve m = 2*i + 3*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5134 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**8 - 13*t**7\/14 + t**6\/30 - 7*t**4\/2 - t**3\/2 - 17*t**2\/2 + t + 1. Find the third derivative of f(x) wrt x.\nAnswer: 6720*x**3 - 2340*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j**4 + 280940*j**3 + 9991368*j**2 - 12293100*j + 3718278 = 0. What is j?\nAnswer: -5583, -37, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11476\/10649 or 1?\nAnswer: 11476\/10649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = u + 33, 2*u + 2*a + 42 = 6. Let k be (-15)\/(((-189)\/30)\/u). Let p(t) = -16*t - 2. Let x be p(3). Is x not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.6, 1\/4, -2, 0.2, 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7*f + j + 23, 43 = 5*f - 4*j. Let n = 7 - 12. Let l = f + n. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/24 - 7*o**3\/6 + 21*o**2\/2 - 22. Let j(d) be the second derivative of y(d). Give j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -32*g - 1948. Let t be c(-61). Solve 2*a + 3*s - 10 = t, -14 = -4*a + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 + 2*q**2 + 2*q - 2. Calculate r(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**3 + 2*o**2 + 5*o - 4. Let c(i) = 1 + 6*i**3 + 3078835*i**2 + 1 - 3078836*i**2 - 2*i. Give -5*c(z) - 2*r(z).\nAnswer: -8*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**3 - 75*o**3 + 38*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**2*j*x**2 + c**2*x**3 + 36*c*j*x**3 - 6*c*j*x**2 wrt x?\nAnswer: 6*c**2 + 216*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30650500 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:18 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1579516*0.22.\nAnswer: -347493.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 5. What is the tens digit of t*3\/(-18)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 30a225?\nAnswer: -30a224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/30 + (-9)\/15*2. Let d = 0.01 - 1.01. Let s = d - 2. Which is the nearest to 2? (a) -2\/13 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 17*g - 72*g + 19*g + 15*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2371695762 - 2371695762.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141.66 + 1.66. Let b = z + 140.0077. Round b to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1639381339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508 - -2033\/4. Let x = -3 + -1. Which is the second biggest value? (a) p (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjyy when four letters picked without replacement from {y: 7, d: 1, h: 2, j: 2}?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 92. Let q = p + -137\/3. Find n such that -q*n**2 + 2\/3*n - 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - (-7 + -4 + 7 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d, -2*d - 124779 = -5*g + 14093. List the prime factors of g.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 5\/2 (b) 14 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564 divided by -8.\nAnswer: -141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -23*t**2 - 2*t + 23. Let l be m(1). Which is bigger: l or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1568)\/(-294)*141\/20. Let i = -757\/20 + q. Which is the second smallest value? (a) 0 (b) 0.25 (c) -0.3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l = -26*l + 1078. What is the remainder when 429 is divided by ((-42)\/l)\/((-9)\/(-1134))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {d: 2, n: 1, e: 2, p: 1, a: 2, h: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -575*m**2 - 991*m + 34. Determine h(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 7657904*t**2 - 7657904*t**2 - t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from kkkp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(64)\/sqrt(2) + -5*sqrt(8)\/sqrt(16) - (2*sqrt(162) + -4 + (-3 + -1 + sqrt(2))*-4)**2.\nAnswer: -536 - 669*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467189519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76534039 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v + 1. Let h be (0 - (1 + 0))\/(-1). Let t be (-3 - -2)*(0 - h). Let p be c(t). Solve 2*m - 1 - 3 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27936*-0.02.\nAnswer: 558.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -79, -0.09, 2\/7, -0.05, 5 in descending order.\nAnswer: 5, 4, 2\/7, -0.05, -0.09, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:04 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyguglldddygglyud. Give prob of sequence yd.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 - 78. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11157796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233 (base 10) to base 5.\nAnswer: 100413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2*j - 2*j + 5*j) + (-5 + 5 + j)*(3 - 6 + 4) + 5*j + 4*j - 5*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times -936?\nAnswer: -44928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2))\/(n*n**(-2\/15)))**(-3\/2) assuming n is positive.\nAnswer: n**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1503*c*g - 4*g + 384 with respect to c.\nAnswer: 1503*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(51) + sqrt(816))\/sqrt(3) - (-2*(sqrt(17) + 0) + sqrt(17) + (sqrt(17) - 2*sqrt(833)))**2.\nAnswer: -3332 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 539 = 3*r, -2*r - s + 44 = -298. What is the remainder when 1031 is divided by r?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/3 + 3*m**2 + 5*m + 19. Let y be t(-4). Sort -13, 2, y, 1 in decreasing order.\nAnswer: 2, 1, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 n, and 2 e when four letters picked without replacement from {n: 3, m: 7, e: 2, k: 8}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1196 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 208 = 4*d, d + l - 14 - 40 = 0. Suppose 5 = 4*f - 4*w + d, f - 4*w + 15 = 0. Let o = f + 8. Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6213)\/(-646) + 11 + 2835\/(-255).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 34 = -30. Let t(d) = -d**2 - 17*d - 21. Let a be t(o). Is (a + 2)*(-2 + 134\/(-6)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64032935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.1 + 12.0999599. Round h to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*d - 20*d - 19*d - 16*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b79 + 117a3?\nAnswer: 10c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 34550030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/1*-33. Let w = c + 22. Put w, -4, 0.1 in decreasing order.\nAnswer: 0.1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -56 (c) 1\/2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**2 + 0 - 1\/20*i**5 - 1\/4*i**4 - 6*i - 1\/2*i**3. Let x be q(-2). Do -1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274 - -283. Suppose 13*r - b*r + 4*o - 19124 = 0, -3*o - 9572 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/4*-16*(1991\/(-110) + 18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.99\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36693, 37303, 37913, 38523, 39133, 39743?\nAnswer: 40353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**4 + 15*c**3 - 16*c**2 + 5*c + 4. Let j(s) = -7*s**4 + 15*s**3 - 16*s**2 + 6*s + 5. Let t(b) = 2*j(b) - 3*l(b). Let t(f) = 0. Calculate f.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3650433 (base 7) to base 16.\nAnswer: 71c5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/40100 and 99\/1600.\nAnswer: 641600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 407, 509, 777, 1295, 2147, 3417, 5189?\n\"Answer: 14*k**3 - k**2 + 7*k + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48232703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*t - 6*t - 1782. Suppose -42*f = -t*f + 120. Solve -4*i = f + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1204\/2355 - -209\/2355. Solve 0*h + 27\/5*h**3 - o*h**5 + 3*h**2 + 0 + 9\/5*h**4 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4 - 1518*v**3 + 4534*v**2 + 1518*v - 4536 = 0?\nAnswer: -1, 1, 3, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*411.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let l = -252 + 265. Suppose 4*k = k - 15, 0 = 3*g + 2*k + l. Put g, 4, u, -0.1 in ascending order.\nAnswer: u, g, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586233.\nAnswer: 3, 53, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/50 + 3*z**5\/5 - 37*z**4\/20 + 9*z**3\/5 + 10*z + 4. Factor c(g).\nAnswer: -3*g*(g - 18)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Let p = n - 3. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1362900 and 1362860 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 15, -22265, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*p - 4*p = 4, -2*w + 5*p = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**5 + 7*a**4 + 5*a + 5. Let n(s) = 3*s**5 + 4*s**4 + 2*s + 2. Let x(t) = -4*m(t) + 10*n(t). Determine p, given that x(p) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7057 = w + 7085, 3*w + 138 = -5*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963917227?\nAnswer: 9341, 210247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321 - -1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p. Let d be p + 4 + (0 - -1). Solve 12 = -d*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142949\/12 or -11911?\nAnswer: -142949\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*t = 10*f - 5, -4*f = 5*t - 13. Suppose -8 - 1 = s. Let i = f + s. Is i at most -35\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:39 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)*t**0)\/(t*(t**0*t)\/t)**16 assuming t is positive.\nAnswer: t**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 + 6*o + 4. Let t be c(5). What is the highest common factor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -7*r + 1\/4*r**4 + 0 + 1\/3*r**3 + 0*r**2. Let u(g) = 7*g**2 + 4*g. Let c(b) = -9*j(b) + 4*u(b). Factor c(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 65 = c, -v + 2*v + 3*c - 15 = 0. Calculate the highest common divisor of v and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, f: 1, l: 6, z: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 - 1) - (52 + -26 - 40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 7.43\nAnswer: -8.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l + 72. Let b(s) = 7*s + 32. Let q(f) = 9*b(f) - 4*p(f). Let z(d) = 2*d - 2*d - 4*d. What is z(q(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*f**2 - 2*f**2 - f**4) + 3*f + 287*f**4 + 4*f - 289*f**4.\nAnswer: -f**4 + 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.12 - -3.01. Sort 1, 1.1, s in ascending order.\nAnswer: s, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/3)\/(4\/(-6)). Let h(s) = s**2 - 33*s + 302. Let o be h(54). Is o*(2 - p\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*u = 4*a - 35, -u + 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1705? (a) 25 (b) -3 (c) 5 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 + ((-32)\/(-24))\/1. Suppose 1215 = 2*n + 3*j - 762, 1983 = w*n + j. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 23, 5, 1, -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 34 + 139 = 10*t + 514 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 131143?\nAnswer: -131152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - n + 11, 0 = 14*h - 10*h + 4*n + 36. Let t = 8\/265 + -26853\/2915. Let a = h - t. Calculate the common denominator of a and 45\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/3 - 409*l**4\/4 + 85*l**2 - 881. Find the second derivative of t(c) wrt c.\nAnswer: 40*c**3 - 2454*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 3*z**2)*(-13518 - 484 - 2196 - 5030).\nAnswer: -21228*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 - l - 4. Let k be b(0). Let s(i) = -2*i**3 - i**2 - 5*i + 6. What is the tens digit of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (1 - (-1 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8838*b**3*v - 4*b**2*v + 9802*v wrt b.\nAnswer: -26514*b**2*v - 8*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*f*s**6 + f*s**5 - 1264*f*s**2 wrt s?\nAnswer: 4560*f*s**3 + 60*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 164522 (base 7) to base 6\nAnswer: 412022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, o: 3, g: 1, j: 2}. Give prob of picking 2 j and 1 a.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -36*(-8)\/32 - (-2 - -8). Let j(r) be the first derivative of 0*r - 18 - 5\/2*r**2 + 4*r**c. What is the second derivative of j(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268909*i - 261160 wrt i?\nAnswer: 268909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 + -99. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 210, 425, 642, 861, 1082, 1305, 1530?\n\"Answer: h**2 + 212*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1100.6 + -1100.4. Which is the closest to 2\/5? (a) m (b) -3 (c) -2 (d) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + 46\/(-6))\/((-2)\/(-84)). Let v(u) = 2*u**2 - 26*u - 24. Is 2 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277639 not equal to 277639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 146, 331, 600, 959?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = 2*x, x - b = 3*x - 17. Let a(n) = -11*n - 90. Let g be a(-9). Solve 5*j = x + g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.520218 centuries to months.\nAnswer: 9024.2616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = q + 78, -3*d + 2*q + 56 = 0. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/4 + d**5\/30 + 49*d**4\/24 - 173*d**2 + 2*d. Find the second derivative of l(u) wrt u.\nAnswer: -180*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(1 + -8 - (-20 + 3 - -9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589617.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -86. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -28. Let t(k) = -19*k**3 + k**2 - k - 1. What is the lowest common multiple of t(-1) and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 4185*d**4 - 2091*d**4 + 63 - 2095*d**4 to the form k*d**3 + c*d**4 + m + g*d**2 + a*d and give m.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3218885410 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 = -15. Suppose 28 = 5*v + a. Let h(r) = r**2 + r - 3. Let y be h(3). Solve v*q + y = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -19, -17, -7, 11, 37, 71?\n\"Answer: 4*x**2 - 18*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4534523018 - 4535444724.9634. Let y = s + 921277. Let c = -430 - y. Round c to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let b(l) = -7*l**2 - 16*l - 13. Let s(c) = 3*a(c) - b(c). Let h(d) = 0*d - 3 + 1 - 2*d - d**2. Let g = 117 - 156. Calculate g*h(u) - 6*s(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 294303?\nAnswer: 4708848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 + 13*l + 1. Let s be 30\/(-8)*112\/6. Let a be -9*(-4 - s\/15). Does 31 divide u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1) - ((-672)\/(-16) + -54)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8121 in 3, 2.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 1 - 2*l**2 - l + 6*l**2)*(-l + 2 - 2).\nAnswer: -2*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**4 - 2677*l**2 - 82*l**3 + 70 - 124*l**3 + 2674*l**2 - 152*l**3 - 250*l**3 wrt l?\nAnswer: -24*l - 3648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6.87. Let g = w - -0.1. Let c = 0.33 + g. Put c, 0, -2 in increasing order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((0 - 2) + -2 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = l + 8, -511329 = -4*l + 5*c - 511335 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, j: 3, s: 3}. Give prob of picking 2 s and 1 m.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.3, -0.1, -1, -783?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y**17)**(2\/15) assuming y is positive.\nAnswer: y**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - j. Suppose 4*k + 0*x = 5*x + 418, -j*k + 3*x = -210. Let m be (8\/12)\/((-4)\/(-102)). Calculate the greatest common factor of m and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 833, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -53*b**3\/6 + 24*b**2 + 41*b + 62. Let q(r) be the first derivative of x(r). What is the first derivative of q(w) wrt w?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 4*o**2 - 44*o + 347. Is m(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.5+0.715\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3936 - 33 - 1*3*1. Let f = o + 8134. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000902771 to the nearest one hundred thousand.\nAnswer: 1000900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 6*g**2 - 2*g - 7*g**2 + 4*g**2 + g**2 in the form z*g**3 + u*g**2 + l*g + q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.20782 millilitres in litres?\nAnswer: 0.02920782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 152 = -2*b - 14, 4*b - 264 = 2*v. Suppose -2*n - 18 - 36 = -2*f, -2*f = n - 51. What is the greatest common divisor of f and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*q**4 + 2*c**3*q + 2433*c**3 + 36*c**2*q**3 - 5*c**2*q**2 + 3*c*q**4 wrt q.\nAnswer: -96*c**3*q + 216*c**2 + 72*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 729587560 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**4 - 2*m**2 - 6*m**4 - 11*m - 1 + 6*m to b*m**4 + u*m**3 + v*m + c + h*m**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1.100403?\nAnswer: -0.3301209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 554114 + -181851. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -32 - 88. Let o(q) = q**3 - q + 4. Let u(t) be the second derivative of -t**3\/6 + t**2\/2 + 2*t. Calculate v*u(z) - o(z).\nAnswer: -z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231924 and 660?\nAnswer: 1159620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3630) + 2*sqrt(30)*-1)\/((sqrt(10) - sqrt(10)*1*-2) + (sqrt(240)\/sqrt(4))\/sqrt(6)) + -4.\nAnswer: -13*sqrt(3)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07411789 + -0.073656. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.09. Let t = 3.03 - d. Which is the biggest value? (a) -5 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*m. Suppose q - 14 + 0 = 2*i, -40 = -m*q + 4*i. Is 9 a factor of (4\/6)\/(q\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326.6103 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 81. Let m = 2190 + -2175. What is the greatest common factor of m and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -521. Let q = -23 - -41. Calculate the remainder when d\/6 - -1*10\/15 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-7)\/21)\/(4\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (2 + 4 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6677 and 4516080.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 888039.5 weeks in milliseconds?\nAnswer: 537086289600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + m**2 - 2*m**2)*(3*m**2 + m**2 - 5*m**2) + (-44*m**3 + 24*m**3 + 11*m**3)*(-2*m + 3*m + 0*m) - 2*m**3 + 4*m**4 + 2*m**3.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than 726054?\nAnswer: 726053.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/(129\/215).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 5. Let l(y) = -8. What is l(s) + n(s)?\nAnswer: -4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snpppnpdpdidnp. Give prob of picking 2 d and 1 s.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131716423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 5. Let z be ((-9)\/18)\/((-2)\/(-20)). Let i be q(z). Let j = 0 - -3. Solve -i = -j*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 59*k**2 + 224*k + 222. Calculate d(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14182*j - 5*i - 19 = 14184*j, -3*i - 1 = 6*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 72655?\nAnswer: 2\/14531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5087?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11766*a = -11764*a + m + 8, m - 16 = 2*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7 + 4*d + 2*d**3 - 4*d**2 + 2 - d**3. What is the units digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2635\/10 - (-3)\/(-2). Suppose 3*w + 5*s - 94 = 36, -5*w = -3*s - v. Let r = -7197 + 7222. What is the highest common factor of w and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y. Suppose y*l = 2*l + 5*x - 60, -5*x = -l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*d**2 + 102*d**2 - 204*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19830845.9998076 - 19830922. Let y = -76 - n. Round y to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w**(2\/101)\/w))*w)\/w**(-31))**(-1\/8) assuming w is positive.\nAnswer: w**(-379\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-3) + (2 - 2). Let c be ((-4)\/(-6))\/((-2)\/(-6)). What is the units digit of 71\/t - c\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:01 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*v - 20, -8 = -0*i - 4*i + 2*v. Suppose 0 = -z + 1, h - 2*z = -i*h - 17. Let k be 1 + 1*-1 + -15. Do k and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7148, 14296, 21446, 28598, 35752?\n\"Answer: b**2 + 7145*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-5 + 3)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:57 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-337 + 716 - 337)*(-2 + 1 - 4)*(-j - j - j).\nAnswer: 630*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 21. Let c = 98 + a. What is the second biggest value in c, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -142 and 3255108743.054.\nAnswer: 3255108601.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -176*h**3 - 3*h**2 + 4*h + 5. Determine q(-1).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**2 - 20 - 18*h - h**2 - 23 + 75. Determine y(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**3 - u**2 + 13*u**3 + 0*u**2 - 10*u**3 in the form k*u + c*u**2 + p*u**3 + x and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*h = 20, z = 6*h - 2*h + 20. What is the smallest common multiple of 5 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3299058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.801644 litres to millilitres.\nAnswer: 801.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - 2*o**3\/3 - 3*o**2 + 4*o - 1. Let p be i(4). Suppose -p = -6*n + 3*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 187, 218, 261, 316, 383, 462?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 5. Let k be r(-5). Let i = k - -7. Let f = i - 5. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/63*12\/9?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/6 + 2614*z**2\/3 + 26159*z\/6 + 5233 = 0.\nAnswer: -3, -2, 5233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12758470 = -2*g - 3*g. Suppose 4*w - g = -212454. Let l = 154810 - w. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 100*l**3 - 141*l**2\/2 + 307. What is the second derivative of x(w) wrt w?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 31764*j**2 + 3908000*j = 0. What is j?\nAnswer: 0, 125, 7816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887142 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 + 2526*u**3 + 51282*u**2 + 48754*u = 0.\nAnswer: -19, -1, 0, 1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.8. Let z = -127 + 132. What is the nearest to 29 in m, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1036 (base 12) to base 5\nAnswer: -24040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + -0.316. Round t to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-3 - 5 - -17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9171 and 69\/2?\nAnswer: 18342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 - 264*l**2 + 2. Let w be a(66). Solve -13 = 5*k - 2*y, -4*k = w*y + 14 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-627)\/(-18) + -3). Which is bigger: 65 or k?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -3 - 1) + 65\/1. Calculate the highest common divisor of 273 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*c**2 - 1 + 14268*c + 3 + 9962*c.\nAnswer: 2*c**2 + 24230*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31654 by 646.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 13*q + 3. Let n be v(-13). Find the first derivative of -n + 3 + 5*i**4 + 4 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:11 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 + 0 + l + 2*l - 3*l + 4*l + (2 + 1 - 2)*(3*l + 2*l - 4*l) - 2*l + l + 2*l + l + 2 - 2 - l + 0 + 0 - l + 69 - 69.\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((4\/3)\/((-5)\/(-195)))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 856*p + 853*p = -36, 2*p + 214 = 5*h. Calculate the remainder when -11*(-1 + -12 + 2) is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -35 + -32 + 61\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133381217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2126901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64286088 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 - v - 2. Let u be a(-6). Let f(m) be the first derivative of -1\/2*m**2 - 7*m + u - 1\/3*m**3. Determine f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*z = 195*z. Solve -4*t - t + 25 = z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g - 6*g**2 + 6*g**2 + 16*g**2 + 4*g**2 wrt g.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lssxllxxxx. What is prob of picking 1 x and 2 s?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(112))**2 + (sqrt(88)\/sqrt(4) + sqrt(22))\/sqrt(11).\nAnswer: 1\/8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68a6 (base 15) in base 9?\nAnswer: 33413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -7\/2*w**2 + 0 + 2*w + 1\/2*w**3 + 1\/6*w**4. What are the prime factors of k(5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -98\nAnswer: 53\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -5*i = -8 - u. Solve -2*s - 2*s + 2*o = 16, 18 = -5*s + i*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/84)\/(2\/(-8)). Let x = 25\/21 + b. Sort x, -4, 3 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671197 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Suppose 18 = -o + 3*z - 2, -5*z + 10 = 3*o. Let x be (o + 10)\/(1\/v). Solve -x*l = -5*t, -2*t - l - 2 = -11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033704 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -74500 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39185 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = u - 61, 29*v - 175 = 24*v + 2*u. What is the remainder when v is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 3\/8 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1487*m**2 + 193*m + 192. Let f be y(-1). Are f and 1486 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - 0.1. Let m = 0.2 + w. Let f = 39\/20 + -11\/5. Which is the closest to -1? (a) m (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.05777.\nAnswer: -0.017331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*l = 243*l + 11905 + 9965 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1627, -1621, -1611, -1597, -1579, -1557, -1531?\n\"Answer: 2*w**2 - 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 + -6)\/(-9)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:58 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 214013?\nAnswer: -214003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9350067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 92*l - 1. Let j = -12 + 13. Does 13 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**2 - 14*q**2 - 2*q - 11*q**2)*(-8*q**2 + 7*q**2 + 0*q**2) in the form z*q + g*q**4 + r + i*q**3 + k*q**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -22, -14, 3, 5.\nAnswer: -22, -14, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 19*s + 6894. Calculate h(-54).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 182 = -2*k, 2*k + 3*l = 4*k - 184. Let g be k\/4 + (-20)\/(-80). Suppose -3*s + 0*s + g = 0. What is the greatest common factor of 56 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = k - 2*k, -2*k + 4*a - 4 = 0. Solve z = -3, 3*n + k*z + 5 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)\/(28\/(-70)). Suppose -w*v + 15 = -0. Solve 0*c - 5*c = 2*b - 3, -2*b + c - v = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607571 + 388.\nAnswer: 607959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15) - 0)\/(6886\/(-3553)). Let c = v - -2\/313. What is the second smallest value in 12, c, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, p: 11}. Give prob of picking 1 d and 3 p.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**8\/112 - 2*m**7\/35 + 3*m**6\/20 - m**5\/5 + m**4\/8 + 3*m**2 + 8. Let w(r) be the second derivative of t(r). Factor w(z).\nAnswer: 3*z*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**19\/h)\/h*h)**(-41)\/(h**13*h**19) assuming h is positive.\nAnswer: h**(-811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2176 and (20 - 48)*(-816)\/14.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((120\/(-12))\/30)\/(4\/(-6)). Suppose 4*k = 5*z - 14, -k - 1 = 2*z + 4*k. Let 0*s + v*s**z - 1\/2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45\/2 + 24. Which is the closest to -9\/4? (a) x (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 239400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13269297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032655 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 16. Suppose 4*s + 31 = -3*b, -b - 2*b + 18 = -3*s. Give m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -374 < -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207226 + -207276.9934. Let a = -46.2 + -4.8. Let z = a - t. What is z rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40 - (-5 + -6 + 25). What is the nearest to 2 in x, 0.2, 0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*d = -290, 577 = 18*y - 14*y + d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2021*r**2 + 8*r + 21. Let b be j(3). Round b to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = b + 4*k, 5*b + 4*k - 28 = b. Let t be 15\/(-12)*(b + 1). Let c(z) be the first derivative of -z**4\/4 - 2*z**3 - 5*z**2\/2 + z - 1. Give c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 - 2\/((-4)\/(-5))). Suppose 0 = -2*w - 2*u - 6, 2*u + v = 2*w - 5. Factor -4\/5*i**2 + 2\/5 + 0*i**3 + 2\/5*i**4 + w*i.\nAnswer: 2*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/3778830 and 30\/41987.\nAnswer: 3778830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 777.686882 + -777.7. Round k to four decimal places.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 6*y = 8, 862*y - 866*y - 1 = -8*h + 4*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**8\/960 + u**5\/30 + u**4\/24 - 141*u**2. Let y(m) be the third derivative of s(m). Let q(l) = 10*l. Give y(q(b)).\nAnswer: -2100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24055.86417 and 0.05434.\nAnswer: -24055.80983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0 + 1\/80*x**5 + 35*x + 1\/8*x**4 + 1\/2*x**3 + x**2. Let m(j) = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18761 - 19826187\nAnswer: -19844948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 0.2, -2775, -1, 1814, 0.3, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 6*x - 25*x)*(-141 - 144 - 17).\nAnswer: 6644*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/(-4)*(-16)\/40. Solve -p - 2*p + k = -2*u, 11 = u + 3*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185793316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 52 = -3*a, -5*a + 47 = -4*i + 59 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/5)\/k**(-2\/3))\/((k*k*(k*(k*k\/k**(2\/51))\/k)\/k)\/k**(2\/49)))**15 assuming k is positive.\nAnswer: k**(-45648\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25542 divided by 3.\nAnswer: 8514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.2711 millilitres to litres.\nAnswer: 0.2092711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 23*l - 28*l. Suppose -3*d + 8*b = 3*b + 10, -3*b = d - 20. Suppose 32 = -5*g - 4*y, 0*g + 5*y = d*g + 5. Put 1, l, g in descending order.\nAnswer: 1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8*n - 3*n + 4 = 0, -5*f = 5*n. Is 2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/60 + u**5\/5 - u**4\/6 + u**3\/3 + 13*u**2. Let f be y(6). What is the smallest value in f, -0.5, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 11, k: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -74*s. Let j(t) be the first derivative of -6*t - t**2 + 52 - 44 + 6*t. What is j(b(d))?\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -116.464.\nAnswer: 465.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351527?\nAnswer: 11, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -104*c**2 + 35*c**2 + 38*c**2 + 39*c**2. Let i(k) = -4 + 4 - k**2. Give h(i(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 77. What is the remainder when p(-31) is divided by 47?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/(-40) + (-2)\/5. Let v = 16 + t. Let -2*b**4 - 2*b**3 + b**4 - 8 - 4*b - 3*b**4 + 6*b**3 + v*b**2 = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -43*x**2 - 2. Let z(s) = 6*s + 3. Give b(z(f)).\nAnswer: -1548*f**2 - 1548*f - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83510218 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1784)\/(-223)*(-6)\/8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15167351+0.5\nAnswer: -15167350.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**3 - 4*r**3 + 6*r**3 + (4*r**2 - 2*r**2 - r**2)*(6 - 6 + 2*r) + (-r**2 - 3*r**2 + 6*r**2)*(-7*r + 2*r + 3*r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -7\/8*p**3 + 30*p + 0 + 1\/40*p**6 - 5\/24*p**4 - 1\/168*p**7 - 9\/8*p**2 + 3\/40*p**5. Factor w(d).\nAnswer: -(d - 3)**2*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:00 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(448)) - (2 + sqrt(448) - sqrt(448) - sqrt(448))*-4) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 4319.\nAnswer: 47509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + (-4)\/6. Suppose m = -b + 4 - 3, -2*b + 2*m + 2 = v. Let y = 0.5 + -0.6. What is the smallest value in b, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) -28 (d) 3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1959151998 to the nearest 100000.\nAnswer: -1959200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45217 by -14.\nAnswer: -45217\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1786, -1673, -1560, -1447?\n\"Answer: 113*x - 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68.693 - -0.093. Round q to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*k + 28 = 0, -2*k = 22 - 14. Which is bigger: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 827 - 1368. Let x = 537 + b. What is the third biggest value in x, 1\/3, 0.6, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 40 - 5*h**2 + 22*h - h**2 - 14. Let o(b) = 2*b**2 - 1. Let y(l) = 4*o(l) + 2*t(l). Factor y(k).\nAnswer: -4*(k - 12)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, 2\/13, 1\/9, -311, 7 in descending order.\nAnswer: 7, 5, 2\/13, 1\/9, -2\/7, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -172508*c - 32. Suppose 2*s - 99 = -97. Let j be s*(-1)\/(-2)*-2 - 3. Let v be a(j). What is v rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {m: 1, j: 1, h: 2, g: 1, z: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 104 = 5*b, 2*b - 178*c - 377 = -239 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)\/(7 + -5). Let r be (-3 - (-65)\/20)*l. Let z be (4\/36)\/(1\/3). Which is the closest to -1\/4? (a) r (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67 + -39.\nAnswer: -39.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.072 - -0.106. Let r = y + -0.09. Round r to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (4 - -3) + -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470400798 is divided by 1231.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2 + 99*k - 10 - 71*k - 2*k**2 - 3 - 25*k**3. Let c(d) = -300*d**3 + 85*d**2 + 335*d - 155. Let b(s) = 3*c(s) - 35*o(s). Let b(m) = 0. What is m?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let h(f) = -f + 1. Let g be h(r). Suppose -k**3 + 0*k**2 - g*k**2 + 3*k**3 + 2*k**4 - 2*k = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -65. Let u = 66 - j. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -69, -75, -83, -93?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74291564 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5.2. Let l = -0.258 - -27.858. Let z = l - 27.6. What is the smallest value in z, 5, -25, j?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x + 696. Determine o(-29).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + g - 17, 0*g - 11 = -b - 3*g. Calculate the least common multiple of b and (-1704)\/(-40) + (-7)\/(-5).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -1.3. Which is the closest to 2? (a) -4 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 - 3*z + 1. Let v(p) = 17*p**2 + 9*p - 3. Let l(n) = -3*h(n) - v(n). Let t(a) = 2 - 3 + 1 + 24*a**2. Calculate l(t(s)).\nAnswer: 576*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*i**2 - 44 - 80 + 76 in the form x + r*i + n*i**2 and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 192\/33 + 4\/22. Let p be 0\/(-3*2\/n). Suppose p = -x + 4*x. Solve x = -k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.4, 8, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 2*y - 81. Let l(o) = -2*o**2 + 2*o + 80. Let i(n) = 4*l(n) + 5*x(n). Let w(t) be the first derivative of i(t). Calculate w(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -132a - -4?\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-11)\/(((g*g**(2\/13)\/g)\/g)\/g**0) assuming g is positive.\nAnswer: g**(-99\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 196491*h - 27253.\nAnswer: 196491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 74070*q + 222183.\nAnswer: 3*(q - 24687)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-56) - 92\/(-3). Let p = v + -44\/7. What is the common denominator of -37\/7 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219339 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5 + 27*n**4 - 57*n**3 + 29*n**2 = 0?\nAnswer: -29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2171*q**2 - 9 - 4336*q**2 + 2173*q**2 - 32 to d*q**2 + w*q + u and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 4550?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*o = 14, -i - 4*o + 6 = -0*i. Let h(m) = m**3 + m**2 - 2*m. Determine h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 52 = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - 11. Let l be -5 - 115\/o - (-2 - -1). Sort l, 4\/5, 14, 5 in ascending order.\nAnswer: l, 4\/5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -80225028\nAnswer: -56157519.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 82.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 4*l + 10. Let p be w(-2). Suppose 12*a - p*a = -12. Solve -a*v + 7*v = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -6, 2, 0, 44, 3 in ascending order.\nAnswer: -6, 0, 2, 3, 17, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164 + 164 - 92*t + (5 - 4 + 1)*(2*t - t + 0*t).\nAnswer: -90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 7*d. Let j(h) = -6*h**2 - 4*h. Let k(w) = -13*w**2 - 9*w. Suppose 2*q + 135 = -13*q. Let r(v) = q*j(v) + 4*k(v). Determine r(x(b)).\nAnswer: 32*b**4 + 112*b**3 + 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*y**4 - 6*y + 9*y - 13 + 9 - y as a*y + s*y**4 + t*y**3 + n*y**2 + d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -186, -423, -764, -1215?\n\"Answer: -n**3 - 43*n**2 - 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 42*i - 207. Let j be m(5). Let k be (7 - (0 - -4))*j\/(-12). Put k, -2, 22, -2\/29 in increasing order.\nAnswer: -2, k, -2\/29, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 10300.\nAnswer: 92700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5286 less than 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3\/12 + 0). Let o(s) = s**3 + 5*s**2 + 2*s - 5. Let x be o(j). Let n be (-100)\/(-6) - (-1)\/x. Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.0841 and -0.4.\nAnswer: 0.83364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1840, 3633, 5810, 8563, 12084, 16565?\n\"Answer: 32*m**3 + 1569*m + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.01 - 0.83. Let i = g + -0.16. Let x = 17 - 15. What is the third biggest value in x, i, -0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12\/(d**20*d) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38120 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {p: 2, w: 18}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 117\/(-5 - (3 - 9)). Calculate the highest common divisor of s and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46970 and 3490?\nAnswer: 16392530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from {h: 9, n: 5, m: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/2 - 1802950*v + 3605890.\nAnswer: 5*(v - 721178)*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((-4 - -5 - (-8 + 9)) + 13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*b = -8, -5*i - 7*b - 8 = -10*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:55 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 2043364.1123224?\nAnswer: -2043364.4123224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h. Let q(j) = 3*j**2 + 14*j. Let m(w) = 3*w + 3. Let n be m(-3). Let c(a) = n*q(a) - 17*o(a). Solve c(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose -r + 33 = c*a - 4*a, 3*r - 104 = a. Solve -2*v + 0*v = -4*y + 10, -5*v - 5*y = -r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14*n. Let d(y) = -9*y. Let h(u) = 8*d(u) + 5*z(u). Let s(a) = 5*a. Calculate 11*h(i) + 4*s(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46534002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4323, -4327, -4331, -4335, -4339?\n\"Answer: -4*l - 4319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 p when three letters picked without replacement from {p: 2, u: 4, k: 1, c: 1, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6032, -12061, -18090, -24119?\nAnswer: -30148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91047?\nAnswer: 3, 11, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 238 - 237.847. Are 2\/5 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 311233010202?\nAnswer: 311233010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**4\/6 + u**3\/6 - u**2 - 32*u. Let t = 726 + -725. Let f(h) = h**2. Give t*m(s) + 3*f(s).\nAnswer: s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 52. Is a(-13) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1600 and 77\/121600.\nAnswer: 121600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {v: 1, o: 1, s: 1, l: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**20)\/(b*b*b*b**(-1\/24)\/b*b) assuming b is positive.\nAnswer: b**(457\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4589 and 104858.\nAnswer: 37014874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - 10*i**2 - 7*i + 6. Let c(m) = 2*m**3 - 5*m**2 - 4*m + 3. Calculate -4*b(z) + 7*c(z).\nAnswer: 2*z**3 + 5*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/(y\/(y*y**11))*(y*y**(-30))**(3\/41) assuming y is positive.\nAnswer: y**(528\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -3, 0, 16, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -14. Let w = k - 22. Put 1, w, 0 in descending order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1113.37 - -1114.16529. Let t = -203.95729 + n. Let f = t + 203. What is f rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 774 (base 13) to base 11\nAnswer: a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 11093. Let b(x) = 60*x**2. Determine f(b(n)).\nAnswer: -60*n**2 - 11093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 2136524 - 2136956 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 15, 40, 75, 120?\n\"Answer: 5*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 255024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 102301?\nAnswer: 102304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 4*o - 1. Let w be h(-2). Let g = -5 + 8. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.791 + -0.691. What is the third smallest value in q, 0.21, -3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/36)\/((-45)\/24)*1.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 18*x - 3913. What are the prime factors of x?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 66201*a - 66242*a.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/32 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5\/5 - 159*z**4 - 13662*z**3\/5 - 80676*z**2\/5 - 160056*z\/5 = 0.\nAnswer: -247, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + -176.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v**3 + 2*v)*(-4*v - 2*v + 4*v) + 3*v**3 - 2*v**4 - 3*v**3 + (-1 - v + 1)*(0*v**3 + v**3 - 12*v**3) + 0*v**4 + 0*v**4 + v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744281 + 0.23.\nAnswer: -744280.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761387208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 7. Suppose 0*l + l = -3. Let y be h(l). Is 56 - 1 - (y + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 7*u + 4. Let f(x) = -3*x**2 - 8*x - 5. Suppose -5*j = -8 + 28. Let q(d) = j*f(d) - 5*i(d). What is the second derivative of q(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (7 + (4 - 2) + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 less than or equal to 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -115, -169, -241, -337, -463, -625, -829?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10. Let c(l) = -14 - 2*l - 15 + 8*l**2 - 7*l**2 + 3*l. Let w(r) = 2*c(r) + 7*j(r). Is w(-4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m + 33. Let h be c(-4). Solve -h*u + 6 = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 1435*l = 2538*l + 238860 for l.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1336.128 millennia to years.\nAnswer: 1336128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.2. Let p = 2 - 2.5. Let i = 1.1 + 3.9. Which is the biggest value? (a) p (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8446 + 8446 + 91*c**2 - c.\nAnswer: 91*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/11 + 1080*o**3\/11 + 154184*o**2\/11 + 2263680*o\/11 + 8786432\/11.\nAnswer: 2*(o + 8)**2*(o + 262)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125, -232, -323, -398, -457, -500?\n\"Answer: 8*y**2 - 131*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -7. Let y = x - -4. Let t be 3 + -1 - 48\/22. Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 1, g: 9, k: 2}. What is prob of picking 1 g and 1 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 85 + 14 = -27 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164072, -1\/2, 0 in increasing order.\nAnswer: -164072, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 11*y + 18. Does 11 divide f(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.35 + 9.35. Suppose 0 = -5*z + 12 - 17. Suppose 2*u + 3*u - 25 = 0. Which is the nearest to -0.2? (a) z (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429 and 9711?\nAnswer: 106821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.042805 + 0.0428107081. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 105. Factor 25*n**2 - 80 + f*n - 23*n + 91*n.\nAnswer: 5*(n + 4)*(5*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g**2 + 6*g - 7*g - 19 + 23*g**2 + 2*g**3 + 23 - 8*g**4 to the form u + k*g**4 + l*g**2 + z*g + t*g**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 890*w**2 + 894*w**2 - 2679*w**2 + 896*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162319035?\nAnswer: 3, 5, 1753, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 968*l + 2\/3*l**3 - 44*l**2 - 169. What is d in z(d) = 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/23 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j. Let i(f) = 36*f - 7. Calculate i(h(w)).\nAnswer: 396*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114337 - 6970081 = -79*t - 43*t. What are the prime factors of t?\nAnswer: 11, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 2. Let j be c(-2). Let s(z) = z**2 - z + 2. Calculate the remainder when s(j) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 5*c**4 - 26*c**3\/3 - 16. Find the third derivative of b(t) wrt t.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 96. Suppose -l = -v*l + 5172. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -1199, 13 in increasing order.\nAnswer: -1199, 13, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 10.8377 (c) 27.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 times -10?\nAnswer: -3680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 86994 (b) -5\/4 (c) -0.3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 y when four letters picked without replacement from {s: 13, y: 5}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 24 = 5*y. Find the common denominator of 1 + 4\/(-3) + 13 and y - (-1 + (-7)\/(-13)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 274?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = -3. Let z = 2707\/28 - 389\/4. Suppose 4*m + 3*s + 40 = -m, -2*m - 3*s = 25. What is the third smallest value in z, m, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2965*k - 7990*k = -286425 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -2\/7 (c) -475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -30589\/4 bigger than 796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4257\/(-121) - (-6)\/33. Let h be (-30)\/j*(-14)\/(-3). Let z be h + 15\/5*-5. Sort 0, 3, z in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71938574.\nAnswer: 2, 359, 100193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126.52398 - 168.523902. Let b = 42 + h. What is b rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 + 61*v - 72*v - 5 - 1 - 9. Suppose -1 = 4*u - 4*n + 3, -n = -3*u - 7. What are the prime factors of g(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*c + 11*f - 120, 40 = c + 4*f. Suppose c*u = 12*u - 364. Let p = 19 - 31. Are p and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 2, m: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3445 - 17293\/117130. Which is the second biggest value? (a) -0.5 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-17 - -35) + -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (sqrt(216) - (-4*sqrt(216)*2 - sqrt(216))))\/(sqrt(32)*5 - sqrt(8)))**2.\nAnswer: 121\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4 + -17*7\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 + 6.4. What is the third smallest value in 0.2, -2, -1, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6229076 is divided by 792?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m*u**3 + 3*m*u**2 - m*u - 17*u**3 + 1046*u wrt u?\nAnswer: -18*m*u + 6*m - 102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58268)\/(-196) + 4\/(-14). Calculate the greatest common factor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 583 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**4\/12 - z. Let o(p) = 32*p**2 - 75*p**2 + 56*p**2. Give u(o(r)).\nAnswer: 169*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - -78 - (1 - 13 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604 divided by -182.\nAnswer: 302\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = 0. Suppose m + 1 = 3, -q - m + 5 = n. Suppose q*w = -w + 164. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*1\/(12\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 545834 less than -3?\nAnswer: -545837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 314\nAnswer: 94.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/b**(-1\/4)*(b\/b**(-1))**49*(b*b\/(b*b*b**4)*b*b*b\/(b\/(b*b*b**(1\/3))))**50 assuming b is positive.\nAnswer: b**(1355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d - 5. Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - 8046*l**3 + 27883*l**2 wrt l?\nAnswer: 60*l**2 - 48276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 717005 = -3*q - c, 5*c = -5. Round q to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2002.52 - -97.62. Round d to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 - -229. Suppose -b + 1586 = -u. Suppose 0 = -2*j + 4*i + b, 0 = -5*j + 5*i + 3931 + 269. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knokkkokknk. Give prob of picking 1 k and 1 n.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 58 = 11. Suppose 53*o - 1674 = v*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013126 rounded to four dps?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664653586.\nAnswer: 2, 23, 628217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 0*d + d + 6227 - 6227.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 171 - 1884\/11. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose 72 = 4*f - 0. Let c = f + -8. Solve s - x = 5, c = 2*s - d*x + 3*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16896512.\nAnswer: 2, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:28 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 14. Let k be q(0). Suppose 4*u = -4, 3*x - k = u - 1. What is the common denominator of (154\/48)\/(x\/6) and -91\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8415704*r**3 - 33662804*r**2 - 33662768*r + 48.\nAnswer: -4*(r + 2)**2*(2103926*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3526 - -3522. Let s(u) be the second derivative of u + 2*u**2 + 0 + 2\/3*u**3. Let q(h) = -5*h - 5. Determine l*s(m) - 3*q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-seven fifths of a millisecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 + -9ccbbd?\nAnswer: -9ccc06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30ba (base 13) to base 16\nAnswer: -1a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 4. Let o be t(-5). Let h = 3 + o. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*h*l - a**2*l - a**2 - 7*a*l - 2*h*l wrt h.\nAnswer: 3*a**2*l - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49\/106 - -2\/53. What is the closest to b in -6, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 37. Is 15 a factor of v(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + 3)*4. Let f = m - -1. Solve 0 = -f*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 178491823 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0254980191 rounded to four dps?\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4678*t**2 + 2339*t**2 - 12*t + 2337*t**2 - 2 to v*t**2 + k + f*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 53. Let m = 99 - 67. Calculate the remainder when 4 + 244*(g\/4)\/3 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17304 = -79872. Suppose 71*l - 79*l = -t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -503*c**6\/120 + 51*c**5\/5 - c**2 + 579. Find the third derivative of j(b) wrt b.\nAnswer: -3018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 13. Suppose 9*p + 21 + 60 = 0. Let h be r(p). Suppose -67 = -h*q + 3. Calculate the remainder when 25 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-14))\/((-11)\/(-77)). Let o be 8 + -2 + l\/(-2). Solve 0 = -o*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70572 + 1?\nAnswer: 70573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*m + 8626581 = -1829419. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, -1\/5, 2\/9, -2\/271?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 3*u**4\/8 + u**3\/6 - u**2\/2 - 1. Let t(y) be the second derivative of z(y). Let r = -49717 + 49716. Give t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -193. Suppose v + 1565 = 2*u, -r*u + 11*v - 6*v + 2330 = 0. What are the prime factors of u?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o. Let l(b) be the first derivative of -b**2\/2 + 1. Let k(t) = 24*l(t) + 3*m(t). Let i(s) = -s. Calculate i(k(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144251727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -473555 = 602*c - 410345 for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 773680261570783\/24564 + -62993019203\/2. Let c = 2\/2047 + n. Let w = -2\/23885 + 3128947\/143310. Find the common denominator of w and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162505 (base 7) to base 11.\nAnswer: -22177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883284181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 1. Suppose -3*y = 1 + 11. Let b be x(y). Let i = -1 + 0. Is b bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414683*n**2 + 414736*n**2 - 829417*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 1 m when three letters picked without replacement from {m: 2, p: 1, x: 1, l: 3, k: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7\/4)\/(r*r**(-8))*(r**(-2))**(-48)*(r**(1\/16)*r*r**(-7))**(3\/46) assuming r is positive.\nAnswer: r**(74235\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.25283 + 31892.80717. Let b = 31553 - m. Let w = 347 + b. What is w rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -249, -500, -751, -1002?\n\"Answer: -251*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6526, 3, -0.01, 1, -4 in descending order.\nAnswer: 6526, 3, 1, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 5, q: 3}. Give prob of sequence qbv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 10*x - 10*x)*(-2*x + 2*x - 3*x + (-14*x - 9*x - 12*x)*(-1 - 1 + 0))*(-x - 2 + 2) as p*x**2 + n + k*x + q*x**3 and give q.\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 544. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 676*d - 336*d - 343*d + 16 + (0 - 1 + 3)*(-2 + 2 + 2*d) + 0*d + 5*d - 3*d.\nAnswer: 3*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1295?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*k = -k - 4, 5*p - 1 = -3*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111332, -222650, -333968, -445286, -556604?\nAnswer: -667922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxppxx. Give prob of picking 3 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 0.5 (c) 1 (d) 4\/3 (e) -3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -45 in decreasing order.\nAnswer: 4, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74564, -148951, -223338, -297725, -372112, -446499?\n\"Answer: -74387*r - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 divided by -5?\nAnswer: -397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:15 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -12. Suppose 0 = -6*q + 3*q + b. Suppose -j + q*j = -3*s + 386, 2*s - 5*j - 229 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let l = 1 + y. Let n = l + -3. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -16.3 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/9 - -29\/99. Suppose -3*m - 6 = 2*f + m, -4 = f + 3*m. Let t = 2 + f. Is t less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(2*n + 0*n - n) + 0*n - n - 9*n + 0 + 0 + 2*n + (0 + 0 + 2*n)*(5 + 0 - 3) + 1 - 1 + n to p + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 802\/7*w + 990\/7 - 190\/7*w**2 - 2\/7*w**3 = 0.\nAnswer: -99, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*g - 8, 0 = 3*b - 2*g - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 11*u + 65 - 108 + 63 - 21.\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428120 by 107030.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 246, -3, -252?\n\"Answer: -249*t + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -540441, -1080863, -1621291, -2161725, -2702165, -3242611?\n\"Answer: -3*d**2 - 540413*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - 746\/(-15). Let x = -48 + k. Let p = 8 - 12. What is the third smallest value in -4\/3, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248008444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3553 divided by 11\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 308548?\nAnswer: -308543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*z = -1196 + 1188, 2*p + 4*z = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:31 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1758228113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(182\/13))\/6 + 236\/(-12)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2211410 by 206.\nAnswer: 10735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o + 1)*(-10 + 10 - 8*o)*(-2*o**2 - 2*o + 2*o).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*t - 3*z + 4, -5*t + 2*z + 23 = 0. Suppose 2*k = k + 4*w + 16, 0 = 5*k + 5*w - 5. Sort k, -5, t in decreasing order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 2*t**2 + 2*t + 2. Determine d(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*v = -5431, -20*v = -17*v + 6. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 384022, 767991, 1151960, 1535929, 1919898, 2303867?\n\"Answer: 383969*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*247\/(-57)*3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (18 - -11)) + 19\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.03 and -1\/32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 6*t - 4*t = 54 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -432562.34\nAnswer: -432566.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8407\/4804*144\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/54 and 41\/4988400.\nAnswer: 44895600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 935 - 471. Does 29 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 32*c**6\/15 + 16*c**5\/25 - 39*c**4\/20 + 3*c**3\/5 + 458. Let l(i) = 0. What is i?\nAnswer: -1, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*j - 5. Let k be (-4)\/(-6)*(5 + -8). Let y = k + j. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*j + 15*j + 45*j)*(3*j**2 - j**2 - j**2).\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/4)*(-9)\/(-78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 101538 + 4824828. Let y = w - -362061. Round y to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 235245348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by ((-10248)\/(-56))\/((-4)\/(-4))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.128436 rounded to 3 decimal places?\nAnswer: 2.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/6 + 11*m**3\/6 + 17*m. Find the second derivative of q(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let x(p) = 845*p**2 - 6*p - 12. Let l(m) = -5068*m**2 + 35*m + 70. Let z(f) = 6*l(f) + 35*x(f). Calculate j(z(g)).\nAnswer: 693889*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0 - 1 = r, -3*r - 2*t + 10 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x - 3*x = 23, 5*x = 3*q - 63. Let b(l) = l**3 - 20*l**2 + l - 25. Let t be b(20). Sort 2, q, -3, t in descending order.\nAnswer: q, 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l = 37770 - 4306. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 665*m + 209. Let x(l) = 19*l + 6. Suppose 0 = -41*z + 81*z + 240. Calculate z*q(a) + 209*x(a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 - 63*v + 63*v.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.138956 centuries in years?\nAnswer: 913.8956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 100. List the prime factors of (-972)\/u + (-6)\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457037 + 0.4?\nAnswer: 1457037.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/45 or -1036?\nAnswer: -1036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 + 3 = 0. Let z = 2 + o. Solve z*a - 6 = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6908 and 1413?\nAnswer: 62172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(350) - (sqrt(350) + sqrt(350)*-3))\/sqrt(10))\/(5*sqrt(567)*2).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2716, 5450, 8184?\n\"Answer: 2734*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 34*y**4 + 8*y**3 - 4851*y**2 wrt y.\nAnswer: 120*y**2 - 816*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1 + sqrt(190))*5 + sqrt(190) - (-1*sqrt(190) - sqrt(190))*5)\/((6*sqrt(240)\/sqrt(4))\/sqrt(6))*-5.\nAnswer: -35*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056*c**3 - 6179*c**3 + 2058*c**3 + 2058*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-103 - -4)\/11 - -3. Let i(c) = 6 - 8*c - 2*c**2 + 4*c**2 - c**2. Let t(r) = -3*r**2 + 23*r - 17. Let u = -59 + 42. Give u*i(m) + z*t(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/15 + o**5\/10 + o**4\/3 + o**2. Let r(l) = 7*l + 2*l**2 - 7*l**3 + 7*l**2 - 2*l**2 - 2*l**2. Calculate 6*r(g) - 5*s(g).\nAnswer: -2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 0.5, -2\/11, -2\/335?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 21*q + 6*q + 2 - 14.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + 6*o**2 - 3*o - 7. Let f(n) = -3*n**3 - 5*n**2 + 2*n + 6. Let p(c) = 3*f(c) + 2*j(c). Find d such that p(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -184, 6, -3, 5 in increasing order.\nAnswer: -184, -3, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(12*d - 5*d + 7*d)*(3*d**2 - 5*d**2 + d**2).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1c9481 (base 14) to base 2\nAnswer: 11111010000110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -65, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 1663*w**5\/10 - 7*w**4\/24 - 4*w**3\/3 - 14*w**2 + 1. Is u(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-484)\/275)\/((-36)\/(-900))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*y = 44*g - 74*y + 227, -2*g - y - 25 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4761*q**4 + 24885057*q**3 - 3606605*q**2 + 130675*q = 0. What is q?\nAnswer: -5227, 0, 5\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/4 + 0 - -1)*(-351 - -283)\/34.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 59, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -49\/4771, 0.4, 148 in descending order.\nAnswer: 148, 0.4, -49\/4771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 7\/(-4))*-4)\/((-789)\/(-2104))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 5*k + 2. Let l be x(5). Suppose 0*n + l*n + 38 = 4*s, 39 = 4*s - 3*n. Calculate the remainder when 50 is divided by 114\/s - (-2)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p*p\/p**(3\/4))**(-2\/5)\/(p\/(p\/p**(-19\/2))*p*p*p**(2\/7)*p) assuming p is positive.\nAnswer: p**(158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*i + 520*i + 72*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*q = 4*q + 7, 0 = -v - q + 8. Suppose -4*d - 313196 = y + v*y, 234896 = -3*y - 4*d. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1659 + 1210.6. Let k = 538 + h. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.33954 + -0.02346. What is x rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1044486593112 less than 0.03?\nAnswer: 0.1344486593112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.1, 0.61, 3, -106?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -69 and 2\/59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627015080 rounded to the nearest 100000?\nAnswer: 1627000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -1\/2*u + 2 - 3\/8*u**2 - 1\/12*u**3. Let g(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198577871 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - 52.2. Let k = i + 49. Sort 5, k, 0, 3\/8 in decreasing order.\nAnswer: 5, 3\/8, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 8*i + 33. Let a be f(11). Solve a = 2*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*l + 15, 6*v - 7*v = -5. Suppose 2 = -d + 3. What is the greatest common factor of l and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 60*n + 1590. Calculate u(-24).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/91 + -9\/13. Which is the closest to 1\/2? (a) 5 (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 31984116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 4. Which is the nearest to 1\/3? (a) z (b) -0.4 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -1932056289?\nAnswer: 1932056288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 687 = 246. Let s = 86 - w. Put -1, 4, s in descending order.\nAnswer: s, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 18*k**2 + 19*k - 2. Let f be u(-19). Let l be 43\/(-2*f\/(-24)). Let q be (36\/(-16) + 2)\/(l\/24). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12428824?\nAnswer: 2, 139, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15739515 + 15740495 = 14*r for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9\/8, -1, -1.9 in decreasing order.\nAnswer: 9\/8, -0.1, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 18*a - 8. Let u(x) = 7*x - 3. Let o(v) = -3*b(v) + 8*u(v). Let s(t) = -t - 11. Calculate o(s(p)).\nAnswer: -2*p - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -48675100 rounded to the nearest 100000?\nAnswer: -48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(-2 - 3 + 4) + 1 - 1 + 3)*(-5*l**2 + 4*l**2 + 2*l**2).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f**2 - 3*f + 2. Let u be r(-4). Suppose 5*y = 39 + u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 11370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -267 - -274 - (1 + (-114)\/(-20)). Which is the smallest value? (a) v (b) 4\/7 (c) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0478418 to four dps.\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 77, 1.\nAnswer: -4, 1, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r - 3232754954 + 3232754954.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.08 + 0.08. Let s = r + 7. Suppose h = 5*h + 12. What is the nearest to -1 in 0, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -3625*y**5\/12 - y**4\/24 + 2*y**3\/3 + y**2. Let k be x(4). What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 c when three letters picked without replacement from {s: 2, x: 1, u: 1, o: 2, z: 1, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17)*-1 + sqrt(153)\/sqrt(81).\nAnswer: -4 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156621273.\nAnswer: 3, 52207091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 57 = -0*h - 5*h, 5 = -5*o. Suppose 204 = 11*q + 1810. Let m = 157 + q. What is the greatest common factor of h and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650468580 divided by 3308.\nAnswer: 196635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7794, -19 in ascending order.\nAnswer: -7794, -19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -531 - -7221.65.\nAnswer: 6690.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*j**3 + 267*j**2 + 42525*j - 19.\nAnswer: 174*j + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/9 - 16*k**3\/9 - 2*k**2\/3 + 7*k + 6 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - 1) - (-116 + 123)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -21*f + 32*f. Differentiate -2013*l**3 + 2013*l**f + 30*l**4 + 34 with respect to l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {p: 1, l: 1, c: 9, u: 3}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s**3 + 29*s**2 + 4*s - 33. Is o(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 2911?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 71 = -91 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0691 + 81\nAnswer: 80.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-7 - (4 + 3 - 9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 8*r + 26*f + 256, 2*r - 24*f = -19*f + 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:59 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2613144 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and (-3)\/(-5) - 70\/(-50)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40981?\nAnswer: 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g. Suppose -p = 5*v - 9 + 1, -5*v - 7 = -4*p. Let i(u) be the second derivative of 0 + 3*u + 1\/12*u**4 + 0*u**p + 0*u**2. Calculate i(d(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*-43533\nAnswer: 174132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 1. Let b be y(3). Suppose -i - 13 = -5*q, 0*q - 3*q + b = 5*i. Suppose -43*o + 87*o - 176 = 0. Solve 0 = -o*k + q*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101 + -110123022?\nAnswer: -110132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1385282 (base 10) to base 16.\nAnswer: -152342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - -2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 + -305. What is the greatest common factor of c and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:38 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27457278 to four dps.\nAnswer: -0.2746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100 + 11?\nAnswer: -100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 795234, 795760, 797188, 799968, 804550?\n\"Answer: 75*q**3 + q**2 - 2*q + 795160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 259110.8 grams?\nAnswer: 0.2591108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(106\/(-36) + 3). Let j = -4\/3 - u. Suppose 0*g - 11 = -4*g + x, 4*g - 17 = -5*x. Which is the third smallest value? (a) 0.2 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.944 - 12.544. Sort -11.2, s, 16 in descending order.\nAnswer: 16, s, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:59 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6641740000 rounded to the nearest one million?\nAnswer: -6642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*l = 10, l = 2*u + 4*l - 15. Suppose u = d + 2*d - 222. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 + j**2\/2 + 5*j + 9. Let m be f(3). Which is the closest to m? (a) 0.1 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3. Let g be d(3). Suppose 4*y - g = 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7\/1 - 11216\/(-2103)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckcm when four letters picked without replacement from {k: 3, m: 1, w: 1, c: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77.9 + -78. Which is the closest to 0.08? (a) s (b) -3 (c) -0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61339, -1076, -2 in increasing order.\nAnswer: -61339, -1076, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -310903 and 1.\nAnswer: -310903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + 5*n)*(-2 + 3 - 2) + 3*n + 14*n + 10*n.\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*5)**2 + sqrt(6)\/sqrt(2)*-2 + 3.\nAnswer: -2*sqrt(3) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m - 6. Let t be 1\/(-3)*(-90)\/5. Let o(r) = -9*r + 5. What is t*o(n) + 5*w(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-82.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-26)\/(-6)) + 1\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1875b90 + -3?\nAnswer: 1875b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddudmdumdmmuddu. What is prob of sequence duu?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from {g: 11, o: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 45*r - 6*y - 30, 3*r - y + 716 - 698 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*u + 4*t - 1, 2*t + 8 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -115?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 21589*u**2\/2 + 466084921*u\/4.\nAnswer: u*(u - 21589)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1303571550 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1916*j - 3834. Let g be a(2). Let z be -1 + 1 + (-1)\/(-6). Put -4\/5, g, z in descending order.\nAnswer: z, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 8*w + 10. Let i be v(8). Suppose z = 5*t - t - i, -5*z = 5*t. Solve r = -r + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 2 + 15*i - 2*i - 3.\nAnswer: 18*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 9416?\nAnswer: 9417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -153229*o + 306465*o + 1 - 153234*o + o**2. Let u = 11 - 7. Determine s(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 335.5 and -9?\nAnswer: -3019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, -100, -180, -230, -250, -240, -200?\n\"Answer: 15*i**2 - 155*i + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 103 = 69. Let m = o - 61. Let -6*l + 2*l + 25 - m - 14*l**2 = 0. Calculate l.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -893.3 - -893.2995713. Round f to 5 decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b**2 - 2*b**2 - 6*b**2. Let u(f) = -f - 1. Let v(i) = -1. Let g(r) = -4*u(r) + 4*v(r). Give s(g(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5952672 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + j)*(j**3 + 0*j**3 + 3*j**3) - 1157 + 1157 + 61*j**4.\nAnswer: 57*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m. Let x be r(1). Solve -4*n = 4 - x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 179, 2231, 4325, 6467, 8663, 10919?\n\"Answer: n**3 + 15*n**2 + 2000*n - 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s - 58*s = 2*q - 25493988, -4*q - 3*s = -50988018. Round q to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 - 4*i**4 + 6*i**4 + (0*i + 4*i - 3*i)*(i - i + i**3) + (2 + 2*i**2 - 2)*(1 + 2 - 1)*(2*i - 2*i - i**2).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 654 - -22?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -17*x**2 + 340*x - 4. Let u be a(20). Let r be 10\/4 - (-1)\/(-2). Sort r, 0.6, u in ascending order.\nAnswer: u, 0.6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 7*i)*(((3 - i - 3)*(-1 - 5 + 4) - 16*i - 4*i - 8*i)*(4 - 1 - 2)*(3 - 3 - 4) + 2 - i - 2).\nAnswer: -721*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16333 + -16333.5. Sort -17, -1, 4, 0.53, d.\nAnswer: -17, -1, d, 0.53, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20589\/170 + -41201\/17. Let o = 2554 + i. Calculate the common denominator of -149\/18 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12984.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(0 - 1\/2). Let c = 123 + -118. Find the third derivative of -k*a**c - 27*a**2 - 2*a**5 + 21*a**2 wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -3.8. Let q be (7\/35)\/(2\/10). Which is the closest to q? (a) -5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 245140731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + t - 3*t)*(0 + 3 - 4) + 0 + 0 - t)*(-t - t + t)*(-18*t**2 - 11*t**2 + 14*t**2) + 4*t**4 - t**4 + 2*t**4.\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 59\/7 - 54\/126. Let t(b) = -b**3 + 10*b**2 + 11*b + 7. Is t(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8)\/((-36)\/16 - -2). Put -19, t, 1 in decreasing order.\nAnswer: 1, t, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 60) + (-1592 - -1646).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/2*285\/874*(-437)\/(-342)*12?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2055423 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*z - 42*z**3 - 71*z.\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a - 5. Let t(z) = z + 1. Let i(h) = -4*t(h) - u(h). What is i(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15404219 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 11*d - 4. Suppose -21*y = -28*y + 455. Calculate the remainder when y is divided by p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.074 - 0.03. Let o = d - -0.004. Let f(m) = -2*m**3 - m**2. Let p be f(-1). Is o < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286122 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x)\/x**(1\/19)*x**(-20)*x**19 assuming x is positive.\nAnswer: x**(13\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902108?\nAnswer: 2, 7, 139361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(3\/10) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 16.4. Which is the nearest to 0.8? (a) -0.3 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26408137 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -666627 - -666627.0499. Let v be 8\/70 - 2\/5. Which is greater: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022871751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -887276 divided by 28.\nAnswer: -221819\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197091325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 3. Let r(s) = -2*s + 2. Let q be r(-2). Let n be m(q). List the prime factors of 2 + 1\/(1\/n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1817 + -1675. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5924.16408 to the nearest ten.\nAnswer: -5920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348100 is divided by 361?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -172*d. Let q(r) = -945*r**2. What is l(q(u))?\nAnswer: 162540*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25))\/((-54)\/(-15) - 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6582, -13176, -19768, -26358, -32946?\nAnswer: -39532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**3 + 0*c**4 + 0*c - 7 + 3*c**2 + 0*c**5 + 13\/6*c**6. Find the second derivative of k(t) wrt t.\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 132567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-84))\/((-5)\/(20\/4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/28)\/((-177)\/(-413))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:21 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1088)\/(-935) + -3*(-20)\/(-165).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + (-4)\/6. Let v(q) = -13*q - 18. Let f(o) = -37*o - 51. Let b(g) = -6*f(g) + 17*v(g). Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3448 - 4259 = -201*x + 7034 + 798 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.98949um to meters.\nAnswer: 0.00000398949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 4410*m**2 + 8811*m + 4404 = 0 for m.\nAnswer: -1468, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/25 + (-12)\/120?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 + 2*x + 8. Let t be r(-6). Suppose 22 = -v - 0. Let u = t - v. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let t be q(5). Suppose 5*r = -2*z + 19, 7 = 3*z - t*r + 36. Let d be (z\/2 + 3)*8. Which is smaller: 13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -289, -560, -831, -1102, -1373, -1644?\n\"Answer: -271*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 488820 + -314471. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2445044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1295960*o - 1. Let w(j) = j. Determine w(n(a)).\nAnswer: -1295960*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75805, 303220, 682231, 1212826, 1894993?\nAnswer: 2728720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 4. Let w(y) = -7*y**3 + 10*y**2 + 2*y - 11. Let i(j) = 15*j**3 - 21*j**2 - 4*j + 23. Let k(h) = 6*i(h) + 13*w(h). Calculate k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801 + 216 = b + 3*l, 5*b - 5*l = 5025. Let k = b + -976. Solve 3*u = -4 - 8, 5*u + k = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23575*d*i - 470340722*d + 229*i wrt i?\nAnswer: 23575*d + 229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-370)\/444)\/((-10)\/54)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -241 + 93 + 28 + 7\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 15*m**2 + 34*m + 8. Let y be f(-12). What is the greatest common factor of 152 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((308\/(-165))\/(-7))\/(66\/(-15) - -4). What is the biggest value in -0.4, 93, o, -1, 19?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Let m = 7 - c. Solve 2*u = 3*x - 2*x + 1, 0 = -3*x + u + m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 9. Let n be m(0). Calculate the lowest common multiple of 6\/n*(-21)\/(-2) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t - 14. What are the prime factors of 6\/(-2) - (t - 20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l. Suppose 4*g + 10 = w - 10, -3*g - 25 = -2*w. Suppose -5*m = -4*m - 2. Let d(h) = -w*h + m*h + 2*h + 5*h. Calculate d(u(k)).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616370 is divided by 283.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + ((-4)\/(-34) - (6 + 781818\/(-102)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -21. Let r be 0\/2*(0 - -1). Put 2\/7, j, r in increasing order.\nAnswer: r, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 655 - 272 = 0. What are the prime factors of u?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143903017 divided by -551?\nAnswer: -261167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668018 is divided by 667950?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**5 + 409*n**2 - 409*n**2 + (5*n**4 - 3*n**4 - 3*n**4)*(45 - 45 + 12*n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:40 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741 + 102827*b - 741 - 102827*b + 914*b**2.\nAnswer: 914*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*d + 340*d - 28383 + 6399 = -733*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -30*n - 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12*6 + (-12075)\/(-350).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/8)\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 58671?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(2) + (-1 + sqrt(2))*-5)*-3)**2 - (sqrt(288) + ((1*sqrt(288) - sqrt(288))**2 - sqrt(288)) + 2))*-4.\nAnswer: -7200*sqrt(2) + 10220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 22. Let s be o(5). What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1402372 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29969.96152 + -30073.96. Let l = 104 + i. What is l rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -77, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 484 = -466. What is the remainder when 150 is divided by (-1121)\/(-57) - 1*2\/x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = 5*a - 40, 4*k = -a + 23. Suppose -4*f + 13 = -a*f. Calculate the remainder when 49 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 95\/1*16\/20. Let l(v) = 55*v**2 + 9*v - 43. Let z be l(12). Suppose 81*a = t*a + z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zisiyyisijii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cbb67 (base 14) in base 5?\nAnswer: -400202241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 8217890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 14, o: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6982.275 milliseconds?\nAnswer: 6982275000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5362 and 55202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 120 = -8*f. Let s = -21 + f. Let 9\/2*n + 3 + 15\/2*n**4 - 9\/2*n**s - 21\/2*n**2 = 0. Calculate n.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 428260 + 1768260. Round h to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/6 + 7*u**3\/6 + 5*u. Let a = 105 - 112. Let q(o) = o**2 - 4*o. Calculate a*q(y) - 4*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 52782 = 52407 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 30. Let n be 152\/10 - 2\/u. Let a = -7 + n. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-4275))\/(81\/(-15) - -5)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, -1\/5, 96, 438 in increasing order.\nAnswer: -1\/5, 0.1, 5, 96, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -23*q + 10*q. Suppose -10*r - 28 = -q. Let y be (-5)\/(-20) + 2\/(-8). Which is the third biggest value? (a) r (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-8))\/(29\/(-581044)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2 - 3 + 5 + 0*w**2. Let j(r) = -10*r**2 - r**2 + 3*r**2 - 8*r**2. What is j(f(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -106479*z - 1810137. Determine c(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32585593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 122649.3 millennia?\nAnswer: 1226493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*f = 603*f - 301*f - 104940. Is 53 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 2. Let h(k) = k**2 + 2*k + 3. Determine -3*h(d) - 4*x(d).\nAnswer: -3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:26 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0225 - 344.0225. Let x = -343.9593 - d. Let o = x + -0.04. What is o rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 168851 and -5.\nAnswer: 168846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 13968055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 3*i**2 - 3. Let s(j) = j**3 + 26. Let m be s(0). Suppose 5*a - 4*w = 13, -w + 3*w - m = -4*a. Is 17 a factor of t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3)*(-3)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6 (c) -17 (d) -39 (e) -0.17 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -12.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50.978 * -0.023\nAnswer: 1.172494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061566568 rounded to six dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + m**2 - 13*m**3 - 10*m**3 + 5*m**2 + 24*m**3 - 9. Determine x(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 14*c - 9870. Is c a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 44 + (21 - 52)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.2. Let b = 1.3 - 0.3. Let a = -16.3 + 16. Sort a, f, b in increasing order.\nAnswer: a, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2970546119 - 0.1\nAnswer: 2970546118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/6, -53, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 137*g**2 - 293*g + 2627. Let z be x(-139). Which is smaller: z or 4717?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 43*k = 200. Suppose 0*w + 4*w + n = 175, k = -4*n. Let u = -26 + 53. What is the remainder when w is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447760141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 604.66 times 0.0043\nAnswer: 2.600038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 480133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i, 4*i + i = -t + 15. Solve 0 = 5*w, a + 3*w - 4 = -t*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944172 is divided by 6895.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.3, 5, -2\/3, -0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {o: 2, t: 6, q: 10}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.0907s to nanoseconds.\nAnswer: 218090700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17252*d**2 - 3*d + 1. Let p(q) = 34505*q**2 - 6*q + 3. Let o(a) = -7*c(a) + 3*p(a). Let x be o(-2). What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -3*sqrt(119)*-1 - -1*sqrt(119)*-3)\/(sqrt(252)*-1 - sqrt(35)\/(sqrt(20)\/sqrt(4))).\nAnswer: 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)\/n**(-1)*n**(-1\/7)\/(n**7\/n) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*q**3 - 14822*q**2 + 47770*q + 16.\nAnswer: 612*q - 29644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and -61\/23602.\nAnswer: 259622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v - 2 - 7 - v + 14*v. Let l be s(3). What is the highest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356) + (sqrt(4356) + sqrt(4356) + -1*sqrt(4356) + sqrt(4356) - sqrt(4356)))\/(-1*(sqrt(2) - sqrt(8))) + 1.\nAnswer: 1 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**3 - 4*f**2 + 10. Let j(x) = x**2 - 1. Let m(y) = -c(y) - 4*j(y). Find the first derivative of m(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 1625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = -0*p. Suppose 121 = 3*h - p. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 18*r**2 - 6*r - 16. Let k be x(8). Calculate the highest common divisor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 9) + -16 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)*f*f*f**(1\/6)\/f)\/(f**(-4\/3)*f\/f**(-7)))**(1\/31) assuming f is positive.\nAnswer: f**(-11\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 383741?\nAnswer: 383741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**6\/120 + r**4\/8 + 2*r**3\/3 - r. Let d(j) be the second derivative of z(j). Differentiate d(h) with respect to h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:20 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 267*u - 12758. Determine l(49).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 2. Suppose -16*u + 17 = -47. Let c be n(u). Suppose p = -55 + 209. Calculate the greatest common factor of c and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 131*q + 133*q - 80 = 0, k - 4*q - 3 = 13 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + 0 + -3 + (14 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + ((2*sqrt(80) + 4 + 4)**2 - (sqrt(980)*-2)\/(sqrt(32)\/sqrt(2)))).\nAnswer: 135*sqrt(5) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -623684 or -623685?\nAnswer: -623685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-16 + 33 - 6)) + 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1132 - -375807?\nAnswer: 377040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/120 + 13*r**5\/60 - r**4\/24 - 13*r**3\/6 + 5*r**2. Let h be o(-13). Suppose h = -d - 0*d + 63. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/3*k**4 + 14\/3*k**3 - 8\/3 - 2*k**5 - 16\/3*k + 10*k**2 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 11*q + 5*q - q + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 3. Let d(r) = r - 1. Let a(v) = -4*d(v) + n(v). Let o = -2 - 1. Let h(w) = w + 4. Calculate o*a(s) + 5*h(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73560.36l in millilitres?\nAnswer: 73560360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 269778 * 1.6\nAnswer: 431644.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46995 and 134958795.\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7*m**2 - m - 1. Let u be a(7). Let p be (-42)\/u + (-3 - 11\/(-4)). Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936 (base 10) to base 5.\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1155 + 1151. What is the second smallest value in 2, g, 10, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {e: 2, l: 2, w: 3, i: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 1, v: 3, x: 7, g: 4, b: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-102) + 38\/(-34) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 35 - -53 - 24.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 31824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 343824\/(-10374) + 29 + -4 + 3?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*v - 2 + (0 - 6 + 4)*(1762 + 38*v - 1762))*(0*v**4 - 5*v + 3*v - 2*v**4).\nAnswer: 164*v**5 + 164*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260.905 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -20\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -92655909 divided by 48183\nAnswer: -1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/12 - 2*a**4\/3 - a**3\/2 + 10*a**2 + 2*a. Let w be b(-5). Is w equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88 and 1.17.\nAnswer: 102.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 39*q**2 + 2*q - 1. Let y be i(1). Suppose 3*z = -2*z + y. Let v(d) = -d**3 + d**2. Let l be v(1). Solve -5*o - 8 = -3*x, z = -3*o + x - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 3. Suppose -m - 7 - 2 = -2*l, -4*l + 12 = 0. Let b be d(m). Solve b = r - 1 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156308 divided by -78154?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:37 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, s: 1, x: 5, w: 3}. What is prob of sequence xw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 125792.\nAnswer: -125792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 17*z + 12*z = -35, -3*o = -5*z + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - u)*(-1 + 1 + u) + (8 - 8 - 3*u)*(-2*u + 2*u + u) + 0*u**2 + 4*u**2 - 2*u**2 + 8*u + u**2 - 6*u + 0*u as m*u + w + c*u**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 9995999735185\nAnswer: -9995999735184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2700) + sqrt(2700))**2 - sqrt(2700))*2.\nAnswer: -60*sqrt(3) + 21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 13647944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) -2 (d) -8\/7 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -43a?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let c = 9 + h. Let p be 60\/(-110) - 34\/(-22). Solve -c*z - 2 = p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155260?\nAnswer: 2, 5, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2876 + -0.0876. Which is the closest to -0.07? (a) -3 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y**3 + 9*y**2 - 50*y - 16. Is 48 a factor of u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 + 17 = 0. Calculate the greatest common divisor of p and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449 + -208. What are the prime factors of z?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 5*t - 5. Suppose 17*j = 42*j + 150. Let a(i) = -3*i**2 + 2*i - 2. Determine j*z(o) + 15*a(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*w + 17050 = -797*w + 1463*w for w.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55308 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -106423\/5 > -21286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*z = 0, 23 = -196*p + 200*p + 5*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26249102*b**6 + 21154464*b**2?\nAnswer: -3149892240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 20*d + 16*d + 3474*d**2 - 2 + 6*d in the form z*d**2 + v + q*d and give z.\nAnswer: 3474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-272)\/(-1156))\/((-42)\/(-156))\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*v - 292*v - 311*v + 1760*v - 857*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -11, -30, -61, -104, -159?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 101, 50, -3, -58?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 35*c - 71. Let t be b(2). Suppose 2 + 7 = -3*g. Put 4, t, g, -4 in descending order.\nAnswer: 4, g, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 55 - 29 = 0. Let g = o - -27. Is 24 + g - (-3 + 2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 106330951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 24. Let p(d) = 2*d + 32. Let n be p(29). Suppose -n = -20*h + 5*h. Calculate the smallest common multiple of v and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36889.13 milligrams in nanograms?\nAnswer: 36889130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 2\/3*p**3 + 0*p**2 + p + 0 - 2\/5*p**5 + 0*p**6 + 2\/21*p**7 + 0*p**4. Factor w(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.87 + 0.13. Let t be -1*((-4410)\/(-120) - 37). Which is the second biggest value? (a) t (b) n (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147823244.\nAnswer: 2, 36955811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Let t = 5 - k. Let v = 18 + -13. Which is the nearest to 1? (a) t (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 47 + -4 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139848841 and 1546?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-3) + (-8)\/12. Let g = j - -7. Let k(h) = 5*h**2 - 2*h**2 + 0*h**2 - 2*h**g. Let c(p) = 6*p**3 - 10*p**2. Calculate 3*c(m) + 10*k(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181930000 rounded to the nearest one million?\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*s - 206 = 0, 0 = -5*s + 4 + 11. Suppose 0 = -14*i + 9*i + g. Let w = 22 - i. What is the smallest common multiple of 9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 758 and 436229?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n + 21*n = -3*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 811 - 807. Suppose 9*t - 5*t = 4*w + 6184, i*t + 2*w = 6190. What are the prime factors of t?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 15. Which is the third biggest value? (a) -0.1 (b) -1.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-418)\/(-55) + (-3)\/5. Solve y - p = 2*f, -y = -2*y - f + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10604 + 3?\nAnswer: 10607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 245*f - 3825. Determine l(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8352*n - 50129. Determine m(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 3*c - c)*(2 - 5 + 2)*(-1 + 4 - 1)*(3 + 3 - 4).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 232*z**2 + 927*z - 3. Let j be x(-4). What is the nearest to j in -0.58, -0.2, 5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from {m: 3, a: 6, u: 1, x: 2, b: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 77. Let h(t) = -3*t + 77 + 2*t - a. Let q(k) = 2*k**2. What is q(h(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 - 17.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39508 is divided by 19748?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 c when three letters picked without replacement from qqqncnqqnzqtkcqqqc?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 + 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, -3, 5 in decreasing order.\nAnswer: 5, -3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 4*c + 2*c)*(-4*c**2 + 0*c**2 + 2*c**2) in the form r*c**3 + q*c + w*c**2 + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9664693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*k + 75 = 0, -4*k = k - 25. Let i = 21\/131 + 6927\/917. Find the common denominator of (44\/10)\/((-12)\/y) and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17174331571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/216 and 137\/624?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-882)\/(-4)*68\/51 - -1. Let w = -158 + a. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*j - 887 = 2*j - 5827 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1 - b**2 + b + 0 - 2*b. Let u(t) = 2*t**2 - 2*t**3 - 3*t**2 + 3 - 3*t**2 - 5*t. Determine -4*j(w) + u(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f**2*j**2 - 2*f**2*j + 90422*f**2 - 55*f*j**2 + 4*j**2 wrt j.\nAnswer: -20*f**2 - 110*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:08 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 39, -2, -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:03 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 6\/(-5)*(-205)\/82. Is 4 a factor of (u + 29 + -2)*(-176)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 3*x - 3. Let q be t(4). Let f = 97 - 59. Let r = f - 35. Sort 8, q, r.\nAnswer: q, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*g - 61*g - 24 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83 and 7.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 471258682 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2203, 1\/4, -4, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0157080368 plus -1683?\nAnswer: -1682.9842919632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 52*f = -26*f - 139*f + 11520 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hjjkhhhj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 6*v. Let b(l) = -55*l**2 - 85*l. Let c be (-17)\/(-1)*(-5)\/2*-2. Let i(n) = c*g(n) - 6*b(n). Let t(j) = -3*j**2. Determine t(i(f)).\nAnswer: -300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3262 and -11\/1398.\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*h = 48, 4*h = 4*t + 15 + 17. Let z = -1 + 1.1. Let w = z - 2.1. Put t, w, 6 in increasing order.\nAnswer: w, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 29 = 2*o, 3*o + 3*m + 11 = o. Which is the third smallest value? (a) -0.1 (b) o (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + 7*b. Let x(g) = -3*g**2 + 4*g. Let j(f) = -6*f - 1. Let c be j(1). Let h(v) = c*x(v) + 4*w(v). Let o(r) = -2*r**2. Calculate o(h(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfzzzzpkphzzp. What is prob of sequence hh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 4*t)*(0*t - 2 + 4*t - 5*t).\nAnswer: -2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - -5.5. Let g = -0.018 - -0.518. Which is the nearest to -1? (a) 0.3 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**2\/l))**(-37)\/((l\/((l\/((l*l\/(l*l**(-4)\/l*l*l*l))\/l*l))\/l))\/l*l*l**(-4\/3)*l*l*l) assuming l is positive.\nAnswer: l**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2926 and 774972?\nAnswer: 5424804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. List the prime factors of (-4 - 0) + q + 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 34*k - 11 + 32 + 107.\nAnswer: -34*k + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 31, -33, -153, -347?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2 + 0*q + 3*q - 3*q + 4*q. Let p be r(3). Solve -c - c = p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.122635 millilitres to litres.\nAnswer: 0.009122635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -8*v**5 - 404*v**4 - 5584*v**3 - 12292*v**2 - 9408*v - 2304 = 0.\nAnswer: -24, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -5 + 7 + 13 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 4*r)*(-5 - 3 - 2)*(r**2 + 2 - 2).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2486 + -2481. Put 20, g, 1, 2, 0 in decreasing order.\nAnswer: 20, g, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1332 - -1866. Let p = j - 536.97. What is p rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y**3 + 1821*y**2 - 633*y - 99201. Determine l(-130).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*u**2 + 0*u**2 + 7*u**2 - 677*u**3 - 751 wrt u.\nAnswer: -2031*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27337.34 to the nearest one hundred.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 15. Let m be n(-5). Put -1\/4, m, 3 in decreasing order.\nAnswer: m, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/18)\/(2\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, 1 e, and 1 a when four letters picked without replacement from {l: 5, e: 5, q: 1, t: 1, a: 7}.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 - 6*v. Let b(z) = -3*z**3 - 14*z - 4. Let x(o) = 4*o**3 + 18*o + 5. Let a(h) = 5*b(h) + 4*x(h). What is 7*a(i) + 2*d(i)?\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 3. Suppose 5*y + 2*b - 18 = 4*b, 4*b + 14 = -y. What is the least common multiple of m(5) and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 4*b**2 - 3*b - 1. Let v be c(4). Is ((-830)\/13 + 2\/v)*-3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 5, o: 3}. What is prob of sequence occ?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1246819230 and 18?\nAnswer: 1246819230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72198 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + ((-2)\/(-8))\/(4\/7952) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 71, 86, 119, 176?\n\"Answer: s**3 - 4*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-32)*-8)\/(2*1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -32. Suppose -w*v = -14 - 1. Let l(p) = -p**2 + 5*p - 3. Let t be l(2). Solve -3*d - v - t = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338 - -352. What is the third biggest value in -65, 5, g?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**4*w - 460*l**2 + 2*l*n*w + 243*n*w + n - 2*w wrt l.\nAnswer: -4*l**3*w - 920*l + 2*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/2? (a) -0.03 (b) -5\/13 (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 15885 - 42368. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4140, 18036, 41262, 73812, 115680, 166860?\nAnswer: 227346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 3 - (-24)\/14. Let h be (32\/(-320))\/(1 + (-7)\/5). Which is the closest to -1\/3? (a) 3\/5 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(175) + sqrt(7) + sqrt(21)\/sqrt(12))**2*-2.\nAnswer: -22743\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)\/u**0)\/(u**(-5)\/u*(u*u**(1\/4))\/u) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47316576 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2578 divided by 18.\nAnswer: -1289\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 0, -5.\nAnswer: -5, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/3, -3, 2\/9, 2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/9 or 1985649?\nAnswer: 1985649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -379, -1309, -3123, -6115, -10579, -16809, -25099?\nAnswer: -35743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13093 * -593.\nAnswer: -7764149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04028? (a) 4\/3 (b) -3 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4490 - 10525 = 56*r - 4635 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 147 = 5*m + 3*p, m = -3*p + 40. Let x(b) = -m*b - 23*b + 53*b. Let i(l) = 41*l**2. What is i(x(t))?\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14599 not equal to 4072850\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1 (c) -417\/5 (d) 10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 141508947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(153) - -1*sqrt(153))*5)\/((sqrt(9) + -2*sqrt(9))*2).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - 222. Let c = f - -4184\/13. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0448846 and 20.8?\nAnswer: 20.8448846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -k - 0*k. Let p(v) = v**3 - 17*v**2 - 15*v - 22. What is the remainder when k is divided by p(18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvivvivvivi. Give prob of sequence vvvi.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -22118, 1, 0.5, 2\/9?\nAnswer: -22118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/13, 0.5, 19?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -624323, 65, 5 in increasing order.\nAnswer: -624323, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 1, r: 2, s: 1}. Give prob of sequence rco.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 20. What is the remainder when w is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -6\/83, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + -3.5. Let y = -5.200062 - h. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 29, 26, 7, -34, -103?\n\"Answer: -u**3 + u**2 + 11*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 29*j - 904. Give d(-4).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-4)\/2)*18\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/12*421\/23155.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 + 31992488*c - 63984960 = 0?\nAnswer: 2, 7998120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*1)\/((sqrt(1210)*1 - sqrt(1210) - sqrt(1210) - sqrt(1210)) + sqrt(1210)).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -151*l**6\/40 + 7*l**5\/20 + 4*l**2 - 19*l. Find the third derivative of x(u) wrt u.\nAnswer: -2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 59695174060535\nAnswer: 59695174060534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -123?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17428416 divided by -6?\nAnswer: 2904736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f - 7. Let y be o(4). Suppose y*r = 9*r - 120. Calculate the lowest common multiple of 8 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -60. Let z = r - 37. Calculate the highest common divisor of z and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -2033?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 8*a**3 - 8*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5188*i**2 + 2775*i**2 + 687*i**2.\nAnswer: 8650*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/3840148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3. Let q be b(0). Suppose -2*o = -q*o - 64. Let c = -125050 + 125162. Calculate the highest common factor of c and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*r - 1. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + ((sqrt(539) + (sqrt(539) - sqrt(539)*-2) + -4)**2 - sqrt(539) - (-4 + (sqrt(539) + 0)**2))).\nAnswer: -462*sqrt(11) + 16206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -110010?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + 4 + 0 - 8*w + 3. Let s be x(4). Solve j + 20 = i - 4*j, s*j + 4 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 370 = -2*k, -38*z + 43*z - 880 = -4*k. Calculate the greatest common factor of 80 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -30*w + 26*w. What is the greatest common factor of w and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -19*r**3 + 89*r**2 + 108*r - 13. Let j(b) = 3*b**3 - 15*b**2 - 18*b + 2. Let m(o) = 39*j(o) + 6*p(o). Find w such that m(w) = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -379 - 12?\nAnswer: -38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110211200221 (base 3) in base 10?\nAnswer: 2909950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z + 7. Let h(a) = -1. Calculate 6*h(c) + t(c).\nAnswer: 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (812\/(-30))\/(-7) + (-2)\/(-15). Solve 5*w + 3*k = -4 - 3, -n*k = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k**3 - k**2 - 27*k - 26. Let h(w) = 9*w**2 - 3*w - 3. Calculate the least common multiple of h(-2) and p(-1).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 250 = -m, 2*i - i - 135 = -2*m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -646, -972?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3208*y + 7900. What are the prime factors of i(-12)?\nAnswer: 2, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767861780 is divided by 6773.\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.2. Suppose -21*a + 22 = -20. What is the nearest to u in 0, a, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1024 + 2?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 86 = 12*s. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299 - -299.141. Let w = a - -0.569. What is w rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0199 and 0.07892?\nAnswer: -0.001570508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*o**2 - 244*o - 24 = 0. What is o?\nAnswer: -1, -6\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24*(-24)\/64*-12. Suppose 0 = -10*q + 758 - d. Solve -6*z - 7*z + q = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -35.5, -1, 0.4, 8, 2\/7 in decreasing order.\nAnswer: 8, 0.4, 2\/7, -2\/11, -1, -35.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8208, -16428, -24644, -32856, -41064, -49268, -57468?\n\"Answer: 2*g**2 - 8226*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146796 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -427, -497, -567?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6820\/(-2356) - 2\/19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105940?\nAnswer: 2, 5, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*s - 8*s - 5, -23 = -5*t - 13*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967033.\nAnswer: 61, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 14 - (-6 - -9)) + -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 8 (b) 6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d + 11 = 24*d. Suppose -d*f + 900 = -2*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -326672 = -326676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21201101120011 (base 3) to base 15.\nAnswer: -56050d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Let n be (6\/15)\/((-8)\/15). What is the closest to g in -2\/3, n, 2\/23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4486.1308 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 + 39372*p - 13638520 = 0.\nAnswer: -10178, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = p - g - 13, 5 = p - 4*g. What is the greatest common divisor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 3*c - 1. Let t be 1 + 3\/(9\/(-6)). Let w(b) = b**3 - 2*b**2 - 2*b - 1. Let s be w(t). Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 34 = 2*s - 5*q, -4*s - 2*q - 2 = 0. Let k(d) = -d**2 - d + 3. Suppose z - 5 = 2*y, -2*y + 3 = z - 2. Let n be k(y). Sort s, n, -5.\nAnswer: -5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 17*q = -22*q + 1702 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 + 5. Let n(o) = -o**2 - 102*o + 15. What is n(f) - 3*x(f)?\nAnswer: 11*f**2 - 102*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-3)\/90). Let q(x) = -x**2 + 12*x - 6. Let n be q(c). Calculate the highest common divisor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -14. Let k(m) = -m**2 - 11*m - 4. Let t be k(f). Suppose 0 = 2*o + 3*x - 17, o - 2*x + 0*x - t = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 1209*m + 20835. What is n(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659481 times -5?\nAnswer: -13297405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -19. Put 4, 17, z in descending order.\nAnswer: 17, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 47. Suppose 3*l = -0*l - 3*m + 1026, v = 5*l - 3*m - 1686. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbggbgwbwgbbggbgbg. Give prob of picking 1 b and 1 w.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1. Let q(v) = -2*v + 7. Calculate q(m) - 6*y(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 6) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.1, 70\/13, -5, -1\/49?\nAnswer: 70\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a**(1\/10)\/a*a))\/(a*a\/(a\/a**(3\/11))*a*a**(-16\/7)\/a) assuming a is positive.\nAnswer: a**(5323\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2451, -2516, -2699, -3060, -3659?\n\"Answer: -10*t**3 + t**2 + 2*t - 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 5*z + 5. Let b be q(5). Let v(j) = 33*j + 13. Let n be v(8). Let k = n - b. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 25*k**2 + 10*k - 8*k**2 - k**3 - 10 - 11*k**2. Suppose -3*q + 63 = 4*u, 2*u - 63 = -0*q - 3*q. Calculate the remainder when q is divided by t(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 z when four letters picked without replacement from wznzzznznznzw.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p - 5 = 0, 4*x - 24 = 4*p. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3 - 41274*i**2 - 3237861*i + 3279132 = 0.\nAnswer: -79, 1, 13836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3300.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4252235 grams?\nAnswer: 0.0004252235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 7070270*u\/3 - 2356756.\nAnswer: -2*(u + 1)*(u + 3535134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501127 is divided by 3107?\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3003*l - 3007*l + 6010*l + 32099*l**3.\nAnswer: 32099*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*f + 4*u + 2029, 5*f = -5*u - 2005. Is f bigger than -405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*q + 7*q. Let k(a) = a**2 + 1644*a + 26090. What is the remainder when k(-16) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27526, -26702, -25878?\nAnswer: -25054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97\/1256 or -3?\nAnswer: -97\/1256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1 + 42\/64*4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 80928?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7329\/63 - 116)\/((-1)\/108)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16*c**4\/7 - 376*c**3 - 138753*c**2\/7 - 358020*c - 2044224 = 0.\nAnswer: -273\/4, -16, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270611 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 19*k**2 - 33*k + 39. Let a be q(18). What is a rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153678759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.3*10.7732\nAnswer: -35.55156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sna when three letters picked without replacement from {a: 2, s: 7, n: 4}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2628\/22049 + -2\/1297. Suppose 5*r + 0 = -5. Let x be (r\/2)\/(5\/2). Which is the second smallest value? (a) g (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 + 34*d - 224. Give a(5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*p**3 - 156 with respect to p.\nAnswer: -381*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l - 5. Let i(z) = -6*z - 2*z + 4*z - 2. Let y(j) = -4*h(j) + 10*i(j). Let q(g) = g. What is q(y(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-3))\/(-1 - 18\/12). Determine x so that 145*x**2 - 73*x**2 - 71*x**k + 10*x + 25 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 less than -128.465?\nAnswer: -125.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + 2. Let w = 0.08 + 4.92. Which is the third biggest value? (a) w (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + h**3 + 2*h**3 + (3*h - 2*h - 4*h)*(-3*h**2 - h**2 + 3*h**2) + (0*h**3 + 0*h**3 - 3*h**3)*(-5 + 1 + 6) - 5*h**3 + 0*h**3 + 3*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - x + 2 - 6 = 0, 4*c - 12 = 3*x. Suppose 0 = 5*k - 3*u + u - 14, -3*k - 2*u + 2 = 0. What is the first derivative of c - 4 + t + k wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/3*x + 2\/3*x**2 + 3.\nAnswer: (x + 1)*(2*x + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20135 = 16*c + 7847. Suppose -3*h = -645 - c. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - 9.99. Let v = p - -10.24. Let x = v + -0.240044. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -w, -13*n + 70*w - 148*w + 76*w = -17*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1939\/554*8\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 45*x**4 + 14655*x**3 + 81755*x**2 + 49625*x + 8000 = 0.\nAnswer: -320, -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86436688.\nAnswer: 2, 13, 149, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -151*m + 115. Let n(i) = -50*i + 39. Let x(d) = -2*b(d) + 7*n(d). Differentiate x(y) with respect to y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and 2.6367679 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 + 10 - (40 + -13)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*i + 2225*i - 1652*i.\nAnswer: 89*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 216 = 4*m + 10*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 12:57 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789736 plus -2?\nAnswer: -1789738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 370*v**2 + 369*v + 2074. Calculate j(371).\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989710303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992, -1026, -1098, -1214, -1380, -1602, -1886?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1627 - -14620\/9. Calculate the common denominator of g and 25\/94.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*((-78)\/36)\/(-13))\/(390\/130).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, 9, 90, -4, -18 in descending order.\nAnswer: 90, 9, 2, -1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**4*q - 13*a**3*q - 11*a**2*q - a*q - 14*q wrt a.\nAnswer: 72*a*q - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 + 4782*a - 4783 = 0?\nAnswer: -4783, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - (-7)\/35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 877442.\nAnswer: 877442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253962208.\nAnswer: 2, 7, 2075231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21207583 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 13*h**2 - 3*h + 45739. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/11 - 43353\/594. Suppose 5*j = -5*t - 0*j - 365, -j + 365 = -5*t. Let i = t - s. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66896.7029 rounded to the nearest integer?\nAnswer: 66897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43949*a**6 + 3*a**4 + 5*a**2 + 8694 wrt a.\nAnswer: 5273880*a**3 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 19*m + 42 = -4*d - 21*m, -1 = 2*m - 5 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -482*b**3 + 13*b**2 - 34*b + 13. Is x(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 4*n = 0. Suppose 3*v + 9 = 0, n = j + v + 110 - 1005. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 - -213.000194. What is s rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 31*i - 48 + 19 + 21 to the form m + j*i and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1, 0.2, -44, 3\/5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-4)\/18*(-47952)\/3330).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.9. Let x = 160.287 - 0.287. Let s = x - 160. What is the closest to s in 5, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -357274254*n - 426523969.\nAnswer: -357274254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c + 3. Let d be i(2). Let w = -7 - d. Let p(b) = -b**3 - 3*b**2 + 2*b + 2. What is p(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (12\/4 + 1). What is the tens digit of (r - 0)*(476 - -31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447569128.\nAnswer: 2, 79, 708179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 6, x: 1, f: 4, e: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715899 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 21 + 1. Let w = -26 + o. Find the common denominator of -59\/6 and (-2)\/(-1) + 114\/w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + l - 263. Let z be i(0). Let s = z + 275. Let d = -25 + 46. Calculate the lowest common multiple of s and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 10\/33*f**3 - 2\/11*f**5 + 0*f - 4\/33*f**6 + 3\/22*f**4 + 1\/11*f**2 + 5. Determine m so that c(m) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 4. Let i be t(-12). Let l = i - 8. Suppose -2*w - 3*x + 56 = 2*w, l = -3*x. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 273\/(-65) - ((-3)\/(-5) + -1)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (-115 + 61 + 90)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/(-1330))\/(((-9)\/12)\/3). Let y = c - 5\/19. What is the second biggest value in y, -2\/11, -1.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029133929 to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-52)\/16)*8\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6983071.23 rounded to the nearest 100000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:31 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*c - 3*k, 34*c - 39*c = 5*k + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzqqqztztzzzztzq. Give prob of picking 2 t and 1 z.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -12 + 42 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 37 = 4*t, 33*t + 3 = 17*t + 20*t - 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6972*a + 233144 + 334526 + 219417 = 89887 for a.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658393417\/7407 - 88888. Let m = 748093\/103698 + d. Let n = -48 - -823\/18. What is the common denominator of n and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 374*f + 702. Let c be y(0). Calculate the highest common divisor of c and 2862.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255273263.\nAnswer: 2255273263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96599 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 4. Let p(w) = w + 7. Determine -5*b(i) + 3*p(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/65766330 and -57\/811930?\nAnswer: 65766330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 = -3*x - 1067 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + 11) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a060b (base 14) to base 11.\nAnswer: -14828aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 10:37 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -30. Let m(f) = -f**3 - 9*f**2 - 7*f + 8. Let r be m(-8). Suppose o + s*o - 64 = r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -2. Let i(y) = 9*y - 5. Let w be i(5). What is the greatest common divisor of s and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 46*o + 36. Let p be g(-16). What is the first derivative of -2752 + 2632 - 2*r**4 - 162*r**p wrt r?\nAnswer: -656*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*x - 0. Let i = -0.6 + 0.5. Which is the closest to i? (a) 5 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 10*c - 17. Calculate k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 4*j + 2*j**2 + 8*j - 4*j**3 - 1 + (-j + j - j)*(2 - 2 + 2*j**2) to the form p*j**3 + f*j**2 + z + n*j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x\/x**(-3\/2))\/x*x))\/x*x)**(-2\/21)\/(x**8)**(-26) assuming x is positive.\nAnswer: x**(4373\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j + 6*j = 289008. Suppose -3*k - 53501 = 5*u - 2*k, -4*k - j = u. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280.1 + -306.48. Let c = h + -397.82. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + (34 - 0) + -20.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467373280 a multiple of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29096?\nAnswer: 2, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50514169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1942, -10289, -25036, -46183, -73730, -107677, -148024?\nAnswer: -194771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 5*y**2 + 6*y + 4. Let o be x(-6). Suppose -o*q + 6 + 2 = 0. What is the third derivative of -q*v**5 + v**5 + 2*v**2 - 3*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) 2\/9 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7103340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13253?\nAnswer: 13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -90727*q**2 - 24*q + 4. Let r(s) = -s**2. Give f(r(b)).\nAnswer: -90727*b**4 + 24*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14114 (base 6) to base 16.\nAnswer: -89e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110383153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*t + 63 = 0, -3*t = 4*j - 4*t - 53. Solve -54 = -22*p + j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40054 is divided by 636.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 33*c + 15*c - 3*c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 136?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -51 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 13. Let c be k(-19). What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -159. Let y = -0.64 + 80.64. Let d = i - y. Is -6.6 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 33073030 + 12067542 = -126*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 2*w**2 + w + 2. Let l(u) = -13*u**2 - 4*u + 47. Let d(o) = -3*o**2 - o + 11. Let x(v) = -17*d(v) + 4*l(v). Determine -g(i) + x(i).\nAnswer: -2*i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71\/7? (a) -8 (b) 1639 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1024)*-1 - sqrt(1024)))\/((sqrt(8) - sqrt(392))*-6*-6).\nAnswer: -4*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40736 and 2912?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 19 (c) -5 (d) 1\/11 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*b = 26, -7*b = 5*d - 5*b. Let o(t) = 26*t**2 + 1. List the prime factors of o(d).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0841 - -0.3841. Sort 3, g, 5, -0.2 in decreasing order.\nAnswer: 5, 3, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from nnnnrnrrrnrn.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -14*c**2 - 30*c + 409. Give o(-6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 9\/19, 0.5 in decreasing order.\nAnswer: 8, 0.5, 9\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5358450568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-1 - (-34 + 16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(5*sqrt(7)) + (-2*sqrt(1176) - sqrt(24)))\/((sqrt(36) + sqrt(72)\/sqrt(2) + sqrt(36))\/sqrt(3) + sqrt(12) - sqrt(120)\/(sqrt(50)\/sqrt(5))).\nAnswer: -74*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2*(-16)\/6. Let f be (-2*3 - -4) + 7. What is the second smallest value in -5, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*m*s - g**3*m - 6*g**2*m + 4*g**2 - 6*g*m*s + 15*g*s wrt g?\nAnswer: 12*g*m*s - 6*g*m - 12*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3703, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3312120 + 2420?\nAnswer: 3320040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 3)*(-6249*d**3 + 6249*d**3 + 1337*d**5).\nAnswer: -8022*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65)*1 + sqrt(65)) - sqrt(65)) + sqrt(65) + sqrt(65))*1 + sqrt(65)*1*3)\/(sqrt(605) + 2*sqrt(605)*5).\nAnswer: 3*sqrt(13)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppvppppvpppp. What is prob of sequence vvp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 287843690 a multiple of 5028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649115.\nAnswer: 3, 5, 13, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45641a (base 11) to base 5.\nAnswer: 141212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**7\/294 - w**6\/42 + 3*w**5\/140 + 5*w**4\/84 - 2*w**3\/21 + 14*w + 13. Suppose y(r) = 0. What is r?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935 divided by -5.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let f(o) = 3*o + 36 - 14 - 27. What is a(f(d))?\nAnswer: 18*d**2 - 60*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2079462 divided by 98.\nAnswer: 21219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 16, -4991, -5, 0 in ascending order.\nAnswer: -4991, -5, 0, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7327 + 11.\nAnswer: 7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 17*w**3 + 24*w**3 + 9.\nAnswer: 11*w**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -15*s - 26. Let f = 7.7 - 2.7. Which is the fourth smallest value? (a) 2\/9 (b) f (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 20*t - 24. Let r be p(4). Suppose 0*h + 2*b = 3*h - r, -2*h + b = -38. Suppose h*g - 18*g = 4. Solve -3*j = -g - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 + m - 2. Suppose 150 = 24*c + 78. Suppose -4*f = 3*a - 12, c*f + 0 = -a + 4. Calculate u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4\/(-2)) + 3. Suppose 50 = p*l + 3*b - 78, -3*l = -5*b - 125. Suppose -30 = -5*m + l. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6 + 6)) + (-2 - -6) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 0.3, 1\/37, 15, 1, -5\/7 in increasing order.\nAnswer: -5\/7, 1\/37, 0.3, 1, 1.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 61*m - 19*m)*(-4*m - m + 2*m) to q*m**2 + f*m + l and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17545, 2, 2\/247, -4\/7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:56 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j + 2. Let q = -53 + 59. Suppose -2*r = -g - 7, -7*r = -g - q*r - 4. Let m be b(g). Are m and 41\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 3*z**2 + 12*z**2 - 28936*z**3.\nAnswer: -28936*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.45 at most as big as 331166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(18)\/sqrt(3) + sqrt(6)) + -1 + sqrt(242))**2.\nAnswer: -23*sqrt(2) + 531\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r - 63. Let x be t(29). Calculate the highest common factor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k + 34. Let f(l) = l - 3. Let w(t) = 68*f(t) + 6*i(t). Let x(b) be the third derivative of -b**5\/30 + 24*b**2. Calculate x(w(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 1634 = 1670 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1408053\/2320 + -9\/464. Let i = -35729\/60 + g. Calculate the common denominator of i and -119\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42712\/2248*2\/(-893).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155898 is divided by 31178.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*(-10)\/(-60) - -5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21436028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - q - 2*q**2 - 29 + 11 - 27 - 1 to the form u + f*q + j*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1988 + -0.0388. Round m to 1 decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5739, -11477, -17215, -22953, -28691?\nAnswer: -34429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102102338 is divided by 51051169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 501 (c) -1 (d) 2269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 + 9*w**2 + 123 - 123.\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -810, -1617, -2424?\n\"Answer: -807*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-240)*(-2)\/(-7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5 - 41. Let l(g) = -g**2 - g + 1. Let r(j) = 2*j**2 + 6*j + 1. Let i(c) = -3*l(c) - r(c). Does 5 divide i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 10, 3*t + 48*f - 14 = 47*f. Solve -2*x + 8 = -0*x, 0 = t*z + x - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7 - 23383*y + 23386*y + 10 - 2*y**2. Let i(a) = -a + 2. Let u be i(5). Let t(p) = -3*p**2 + 4*p + 4. Calculate u*t(x) + 4*f(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 47 - 4)*(-4*f + f + 2*f).\nAnswer: -37*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 11. Let a be l(8). Let n = a - -3. Let y be 6\/3*(3 + -1). Solve 0 = -2*c - 3*f - 14, -y*c = 2*f + f + n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6022380 and 139\/42.\nAnswer: 6022380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 < 0.77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1453 + -2710. What is s rounded to the nearest 10?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 - u + 1. Let s(j) = -6*j**3 + 11*j**2 + 3*j. Let c(m) = s(m) + 5*t(m). What is the units digit of c(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = 5*p, -4*p = -14 - 6. Suppose -6*f + f + 6 = -3*w, w = 3*f - 6. Solve n*z = w*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68\/7 - 605\/63. Which is the third biggest value? (a) 0.15 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-1 + sqrt(700))**2*6 - (sqrt(700) - (5 + 0 + sqrt(700))))*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 - 2*m + 2*m)*(-4 + 24 + 664*m - 344*m - 343*m) to q*m + v + u*m**3 + i*m**2 and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 375\/90*6\/(-20)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 3*(sqrt(252) + -1*sqrt(252)))\/(sqrt(72)\/sqrt(32) + sqrt(9)) - -6*((sqrt(175) + 2)**2 + sqrt(175) + (-1 + sqrt(448) - sqrt(448))).\nAnswer: 454*sqrt(7)\/3 + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7221 divided by 1548.\nAnswer: -2407\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 23 + 7*t**2 - 12 - 4. Suppose 0 = -3*n + n + 10. Let h be v(n). Calculate the highest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r**5 + 11238*r**4 + 970714*r**3 - 2803314*r**2 + 1445382*r + 375948 = 0. Calculate r.\nAnswer: -177, -3\/16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:39 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = -25*w + 19*w. Let q = 182 + w. Suppose 4*k + 8 = 3*z, z + 5*k - 2 = -12. Solve 4*p - 4*l = -16, 3*p + p - q*l + 12 = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 15. Suppose -1 = a + 4. Let k(r) = 4*r + 14. Let p(o) = a*f(o) + 6*k(o). What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512\/480*(-12)\/(-1280)\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)\/y)\/y**(3\/2))\/(((y\/(y*y**(-1\/3))*y)\/y*y)\/y)**47 assuming y is positive.\nAnswer: y**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Let b be (-25)\/(-4) - p\/16. Let m(d) = -5 + 6 - b + 2*d**2. Let h(l) = 6*l**2 - 14. Determine 4*h(r) - 11*m(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 103 - 3 - (107 + -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6320.665 litres to millilitres.\nAnswer: 6320665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/7 (b) -2\/9 (c) 1\/3 (d) 383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(36\/(-6) + 8). Let f(i) be the first derivative of r*i**3 + 2\/5*i**5 + 0*i + 0*i**4 + 3\/2*i**2 + 3. What is the second derivative of f(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-12))\/(((-5)\/2)\/((-10)\/12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13594.79 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)*m**0\/m assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, t: 7}. Give prob of sequence tttt.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1786290, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89299, 178472, 267645, 356818?\nAnswer: 445991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 12*w - 2. What is u(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 25\/7)*-7. Solve 0*g = -y + n*g - 3, -4*g + 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9227 is divided by 210?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002248494939 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(85) - sqrt(85)*-1*-1 - sqrt(85))*-4)\/((sqrt(200)\/sqrt(4))\/sqrt(10) + sqrt(5) - -3*sqrt(5)*-6).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 630 + 2?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from {g: 4, w: 6, p: 9}?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.4, 1\/172, 0.1, -2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25296 - 32087. Is w less than or equal to -6791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1\/28*f**4 - 30*f + 0 + 3\/7*f**2 + 11\/42*f**3. Determine y, given that o(y) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -39.9. Let o = 83 + -82. Put -0.5, o, l in decreasing order.\nAnswer: o, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46193 + 82267. List the prime factors of r.\nAnswer: 2, 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451550 by 2.\nAnswer: 225775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(6\/19)\/l)*l*l**21)\/(l\/(l**(-17)*l)*(l\/l**13)\/l) assuming l is positive.\nAnswer: l**(393\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*n - 6*n, 3 = 5*u + 4*n. Solve -4*h + 12 = -4*y - u*h, 4*h = y + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/33)*a)\/((((a**(3\/7)*a)\/a)\/a)\/a))\/(a\/(a**(-1)*a)*a)**(-2\/15)*(a**(-2))**(-2\/89)*((a*a*a*a**2)\/a)**(3\/40) assuming a is positive.\nAnswer: a**(222287\/68530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28710 + -28727.99568. Let b = r + 18. Round b to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 43. Let n(b) = -2*b + 11. Let g(c) = 9*n(c) - 2*r(c). Let u(o) = -o - 7. Let y be u(4). Is g(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 1. Let p(d) = -2*d - 17. Let b be p(-9). Let q be k(b). Suppose 19 = -3*h + q*t + 109, 4*t + 91 = 3*h. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:55 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/7 + 24\/(-84) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132 + 28?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2976\/(-120))\/(-31)*-18)\/(6\/20)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44166982 to the power of 1\/2, to the nearest integer?\nAnswer: 6646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1316)\/7*(-2)\/(-4). Let x = 4 + -97. Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168038*502.\nAnswer: -84355076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2737*h + 149088 = -1684*h + 2311*h + 498944 for h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1448720 divided by 362180\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9*j = m - 42, j + 3*m - 14 = 0. Let a(f) = -297*f + 11. Let b be a(j). What is the common denominator of 2\/(-7) - (b\/70 - -4) and 49\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00800603447 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:11 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + 146. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - a - 20, 0*y = -3*y + 2*a + 56. Which is smaller: y or 17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + 158. Let c be 1\/m - (-72)\/96. Solve -5*b + 5*j = -40, -2*b - 4*j + c = -j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11081 - -11083. Let t(b) = -b - 1. Let s(c) = 3*c**2 - 2*c - 4. Give u*t(n) - s(n).\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*p - p - 6, 3*p + 11 = 2*b. Suppose -32 = b*v - 6*v. Suppose -v*n + 19*n = 336. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*m - 319. Let n = 62 - m. Let o(p) = p - 4. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4\/5 + 31053*v**3\/5 - 279006*v**2\/5 - 2358228*v\/5 + 2606184\/5 = 0.\nAnswer: -6, 1, 14, 10342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:28 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**3 - 21*f**2 + f - 1. Let m(u) = 2*u**3 - 11*u**2 + u. Let a(y) = 6*b(y) - 11*m(y). List the prime factors of a(5).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*b**2 + 12161*b + 204*b**2 - 12161*b.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 2. Let f(x) = 40*x**2 - 4*x - 6. Let n be f(-4). Calculate the remainder when n\/52 - (-1)\/(-2) is divided by w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**3 + 7*p**2 + 12*p - 3. Let v(i) = -3*i**3 - 4*i**2 - 6*i + 1. Let t(a) = 2*o(a) + 5*v(a). What is t(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36886574 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 15*q**2 + 18*q - 16. Let i(k) = -k**3 + k**2 - k + 14. Let t be i(0). List the prime factors of c(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3887, -5494, -4807, -1826, 3449?\nAnswer: 11018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -5238.1.\nAnswer: -146666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 1*(1 + (1*sqrt(99) - sqrt(99)))))**2 + 0 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 60. Suppose -2*w - s - 4*s = u, -2*w + 14 = -2*s. Suppose 0 = -5*b - 7*g + 2*g + 845, -w*b + g + 491 = 0. What are the prime factors of b?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12825 = -5*q + 5*f, -4*q + 5263 = -3*f + 15528. Let p = -877 - q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.11723 - -0.02723. Let m = d - -22. Let j = -4.91 + m. Sort -2\/9, j, -2\/35.\nAnswer: j, -2\/9, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:14 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 17. Calculate n(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3847750138 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1803038412127 from -0.083.\nAnswer: -1803038412127.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34534, -34226, -33390, -31762, -29078, -25074?\nAnswer: -19486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -613*i**2 + 313 - 68399*i + 68399*i with respect to i.\nAnswer: -1226*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/(q**(-2\/7)*q*q)*q*q)\/q)))**42\/(q**(2\/13))**(1\/14) assuming q is positive.\nAnswer: q**(1091\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 3 + 21 + 0 - 842*l)*(-7*l - 5*l + 2*l) in the form w*l + f + b*l**2 and give b.\nAnswer: 8420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from qpgqpoqgqoogggqgqgg?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssas when four letters picked without replacement from {f: 6, s: 5, u: 1, a: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 721 - 1209. Let s be 4\/(-18) - (w\/(-72) + -10). Sort 39, s, -1 in descending order.\nAnswer: 39, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211937 = 2*y + 868063. What is y rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 k when three letters picked without replacement from {c: 2, k: 2, a: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k + 2. Let w be r(4). Let l(j) = 31*j + 3. Let d(n) = -15*n - 1. Let f(v) = w*l(v) - 13*d(v). Find the first derivative of f(h) wrt h.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**7\/840 - 7*x**6\/360 + x**5\/60 + 5*x**4\/12 + 2*x**3\/3 - 6*x**2. Let u(h) be the first derivative of v(h). What is u(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q**2 + 0*q)*(q**2 - 2*q**2 + 3*q**2) + (-12 - 36 - 7)*(-1 + 1 + q**4 - 2*q) + (-2*q**3 + q**3 + 0*q**3)*(-2 + 2 + q).\nAnswer: -52*q**4 + 110*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 197.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347223554.\nAnswer: 2, 29, 5986613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 49 = -3*c + 29, 28 = 5*q - 12*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 434861563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x. Let q(h) = -6*h**3 - 7*h**2 + 2*h - 6. Let d(t) = -5*n(t) + q(t). Let w be d(-8). Sort -4, 0, w in decreasing order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24453.253 rounded to the nearest one hundred?\nAnswer: 24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8132 = -1232*x + 1107 - 1847. Factor -3\/2*w**2 + 9\/2*w**3 - x - 12*w.\nAnswer: 3*(w - 2)*(w + 1)*(3*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + n + n + (259 - 59 + 112 + (-1 - 1 + 3)*(1 + 12 - 5) + (3 - 1 - 1)*(-4 + 3 + 0) - 1 + 1 + 2)*(-2 + 2*n + 2).\nAnswer: 641*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54501*c - 64706*c - 62776*c.\nAnswer: -181983*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 40. Suppose -l = -2*d - 0*d. Suppose 0 = -2*q - d + 1. What is the biggest value in 0.4, 0.1, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nch when three letters picked without replacement from {q: 1, l: 1, c: 1, n: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -0.01485574.\nAnswer: -0.008913444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -595 + 602. Let y be 2950\/35 - 4\/14. Suppose -s*f = -28*f - y. Does f = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261650 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625 = 108*a - 23 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262933 is divided by 7301.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 11252?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -717.1 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -1. Let l = a + 1.9. Let u = -1 + 4. What is the biggest value in u, -2\/9, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:14 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 158\/269 (b) -2\/7 (c) 4\/5 (d) 5 (e) 0.4 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*w + 6768, 13*z - 3*w = 11*z + 4502. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 3*k**2 - k + 1. Let l be r(-2). Let n be l\/(((-4)\/76)\/1). Suppose n = u - 37. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29999540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + 2*j)*(-110*j**4 - 456 + 456).\nAnswer: 220*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**3 - 4*d**2 + 4. Let n(g) = -g**3 + 92*g**2 - 439*g + 347. Let x be n(87). Let w(b) = -b**3 + b**2 - 1. Determine x*o(s) - 3*w(s).\nAnswer: -3*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 119, 236, 351, 464, 575, 684, 791?\n\"Answer: -k**2 + 120*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586162.\nAnswer: 2, 79, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/63 + 100\/63. Let j = 7.8 - -47.2. Let l = j + -58. What is the second biggest value in v, 4, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/546852 and 21\/52543363?\nAnswer: 630520356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 + 6*z - 647. Let r(x) = x + 1. Determine -k(v) + 6*r(v).\nAnswer: -4*v**2 + 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 10. Let a be b(-10). Let s = -53 - -30. Let u = s - -33. What is the highest common factor of u and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 2b4?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139*-4.7.\nAnswer: 653.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -682*v**3*z - 3268*v**2*z**2 + 4299*v*z**2 + 166*z**2 - 3*z wrt v?\nAnswer: -4092*v*z - 6536*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 9*f**2 + 2*f - 233. Give w(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26714\/7, 743, -4 in decreasing order.\nAnswer: 743, -4, -26714\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012825436 + 493.37?\nAnswer: 493.357174564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10957 = -39*c - 10255 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.038 or -2\/2121?\nAnswer: -2\/2121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.65 take away 1356?\nAnswer: -1328.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + sqrt(68)\/sqrt(4) - -2*(sqrt(51)\/sqrt(3))**2)*-1 - ((-2 + (sqrt(2448)*-4 - sqrt(2448)))**2 + 4)).\nAnswer: 964*sqrt(17) + 244988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 + 5020389*w - 5020392 = 0.\nAnswer: -1673464, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*y + 52*y + 101*y + 81*y. Suppose 15 = -9*j + 6*j. Sort -4, j, y in increasing order.\nAnswer: j, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 120 = 7*s. Let h be 35\/(-10)*s\/(-14). Suppose -4*d = -h*d - 50. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375068796*h**5*q**3 + 42*h**2*q**3 - 101*h**2 - 4173*h wrt h?\nAnswer: 22504127760*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 29*l. Let q = -3592 + 3432. Let v(p) = 1536*p. Give q*x(y) + 3*v(y).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, 1, -34, -10 in ascending order.\nAnswer: -34, -10, 0, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -96215999 rounded to the nearest 100000?\nAnswer: -96200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (414*f - 231*f + 676*f)*(1 - 1 + f).\nAnswer: 859*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 d when four letters picked without replacement from {i: 3, s: 6, q: 1, d: 1, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 minus 2524.1077806?\nAnswer: -2481.1077806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 12) in base 6?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312209, 624438, 936667, 1248896, 1561125, 1873354?\nAnswer: 2185583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1733 - -1738) + 6 + -3 + -50 + 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 + 1037*h**2 - 16833*h + 15795 = 0.\nAnswer: -1053, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 5*v)*(-13 - 9 + 48).\nAnswer: -130*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) 2\/3 (c) -1 (d) -5 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 381 + -311 + (-1 - 57)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(2*sqrt(70) - sqrt(70)))\/(3*sqrt(10)*-2))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**2 - 6\/5*f**3 - 16\/5*f + 0 = 0 for f.\nAnswer: 0, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u - 48 = -56*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4010 - 2499. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4e (base 16) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182260914 to the nearest integer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1217 and 6233126.923.\nAnswer: 6233126.8013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 582321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 17*q - 4. Let s be p(-9). Suppose -2*h = 5*c - 33, 2*h - c - 28 = -s*c. Solve 26 = h*z + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**7\/252 + r**6\/180 - r**5\/120 - r**4\/72 - 2*r - 3. Let b(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13410 = -72*y - 9378 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5611, -2, -1 in descending order.\nAnswer: 5611, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014.652476 rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-24)*x*x*x*x**(-21)*x assuming x is positive.\nAnswer: x**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 8 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1903784, -1903783, -1903782, -1903781, -1903780, -1903779?\n\"Answer: q - 1903785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5*290\/(-261))\/(2\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, t: 1, q: 3, d: 1, m: 5}. What is prob of sequence tpp?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 22 = f, 7*y - 15 = 2*y. What is the first derivative of -6*d**3 + 11 - f + 2*d**3 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20380826 equal to -20380831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.59, -0.07, 5\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:51 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3569391 and 7.\nAnswer: 3569391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37258*l + 12442*l + 12434*l + 12381*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19764*n = -19736*n - 448. Solve n*b + 48 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/((-24)\/(-108)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4209400074.00000215 + 4209399560. Let w = t + 514. Round w to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, p: 6, o: 2, m: 1, a: 1, g: 1}. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 46 = 3*n, n - 4*k = -4*n + 40. Suppose n = -13*c + 15*c. Let f(p) = -5*p - c + 6*p + 6. Let u(a) = 4*a**2. What is u(f(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -638 - -7020\/11. Which is the closest to 3? (a) -4 (b) -13 (c) 4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -756 + 876. What is the remainder when b is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 82*i**2 + 45408*i + 6. Give h(-258).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3157*s**2 - 19*s - 43. What is the ten thousands digit of w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) -0.2 (c) 3 (d) -1 (e) -0.14 (f) 4\/3 (g) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 1074*g - 228592.\nAnswer: (g - 182)*(g + 1256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.74 + 26. Let s = y + 0.04. Let t = -11 + 6. What is the nearest to -0.1 in -4, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1\/5, -12, -0.16, 4 in ascending order.\nAnswer: -12, -1\/5, -0.16, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -8. Let d(x) be the third derivative of 0 - 1\/8*x**4 - 1\/3*x**3 - 5*x**2 + 0*x. What is d(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - -9. Let j be (4 + -3)*2 - -2. Suppose 1 = -y + j. Calculate the greatest common divisor of t and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(4*r + 0*r - 2*r) + 97 - 97 + 63*r.\nAnswer: 61*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3528, -4391, -5218, -5997, -6716, -7363, -7926, -8393?\n\"Answer: 2*w**3 + 6*w**2 - 895*w - 2641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 146*s**2. Let k(u) = 9*u. Let r(a) = 2*a**2 + 108*a. Let l(y) = 12*k(y) - r(y). What is w(l(m))?\nAnswer: 584*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/19 + 1985488*t\/19 + 492770324768\/19 = 0. What is t?\nAnswer: -496372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002 - -124677.\nAnswer: 124677.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -46. Let t(o) = 5*o - 41. Let n(k) = 3*k - 27. Let v(h) = -8*n(h) + 5*t(h). Let b be v(-5). Calculate the highest common factor of x and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a + 4. Let c be v(-1). Let z(k) = 2*k**2 + 10*k - 12. What is the tens digit of z(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/855 and 41\/19.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.2400780482 - 0.0599713518. Let p = -61.3 - q. Round p to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f + 6 = c, 5*f + 38 = 2*c. Calculate the highest common factor of c and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7 - 4 + g + 3. Let r be f(6). Is r at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4\/5 + 2772*d**3\/5 - 427172*d**2\/5 - 1712196*d - 8131032\/5 = 0. What is d?\nAnswer: -17, -1, 273, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -u, -3*f - 95*u + 51*u + 48*u + 45 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hqqqqmqhqhhqhhhhhhhq.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.169915l?\nAnswer: 7169.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose c*d - 115 = 15. Calculate the highest common divisor of d and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 23540880*d**3 - 27708604476900*d**2 + 110834794562000*d.\nAnswer: -5*d*(d - 4)*(d + 2354090)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/12)\/((-4)\/(-16)). Suppose -2*f + j*f + 4*p = 13, p = 2. Suppose -3*r - 800 = -f*d + 109, -726 = -4*d + 2*r. What is d rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(2*w + 0*w - 4*w) + 0 + 0 + w - 22*w - 26*w - 7*w + 0*w - 9*w - w.\nAnswer: -62*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g, 3*l + g + 274 = -2*l. Let c be l\/(-7) + 12\/42. Suppose 4*p - 16 = 0, -3*t - 671 = -c*t - 4*p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6)\/((75\/(-20))\/5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 - 116?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78572897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:27 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 3001 + 748 + 752 + 751 + 750.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -3 (c) -4 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2514, 5157, 7954, 10905, 14010, 17269, 20682?\n\"Answer: 77*d**2 + 2412*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110418371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -121\/470?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-68)\/16)\/(1\/(-4)). What is the third derivative of 19*r**2 + p*r**4 - 6 + 13*r**2 + 8 - 10*r**4 wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b - 11. What are the prime factors of p(-7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/89, 4, -5 in decreasing order.\nAnswer: 4, 8\/89, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157\/((-30772)\/5390)*18\/(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 171060100 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c + c)*(-8173 + 3080 + 3630).\nAnswer: -2926*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 1a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -42102?\nAnswer: -42105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -49. Let y = -19 - r. Let f = y - -24. 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: Express 47*f**2 + 6*f + 16*f - 4*f**2 - 2*f**4 - 2 - 21*f as m*f + z*f**4 + p + i*f**3 + l*f**2 and give l.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.378379 + -0.034866. Let f = -5.153406 - c. Let x = f - -3.74. What is x rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*i + 180 = 5*i, -3*i = 2*h - 120. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 27. Suppose 0 = -4*b + 1 - g. Let v(x) = -x + 1. Suppose 3 = -2*d + 5. Let t(a) = -2*a + 2. Determine b*v(o) + d*t(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 19 - 14 = 0. Let d(p) = p + 4. Let r be d(-3). Which is the closest to r? (a) -4 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/(-1027) - (-262)\/(-13)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 174 + 162 = g, 4*g = -5*s - 51 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (6 - 7 - (-2 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*b - 2, 3*t + 50 = -3*b + 56 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -6. Suppose -4*v + q = 0, 11 - 3 = 2*c + v. Sort c, -3, -4 in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41329939 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -17\/4, 139.5?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 57 = -15. Let l = d + 95. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -40*l + 20. Suppose 3*s - 3 = 3*n, 9 = l*s - n - 12. Solve -3*f + v + v - 1 = 0, 2*v + 5 = s*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17507 and 7503.\nAnswer: 52521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 162*a**2 + a - 2. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8674*t - 2 + 1233*t + 8272*t to u*t + g and give u.\nAnswer: 18179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafnfaaffaaafafdfndd. Give prob of sequence dd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*x - 20. Sort x, 0.4, -5.\nAnswer: -5, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 - 8. Let v be o(0). Let p be 1\/(-2)*0 + (-328)\/v. Let c = p - 41. Solve 0 = -c*d - 3*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + -24*4575\/(-105). Suppose f = o + 29. What are the prime factors of f?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:36 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 9.5. Let f = 275749.4999936 + -275751. Let b = f + j. Round b to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2597\/(-637))\/(2\/6) - (2 - 14)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(((-2)\/1)\/1). Let g(f) = -231*f + 2080. Let j be g(9). Which is the nearest to j? (a) s (b) 0.3 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 + -149. Let u be ((-9)\/(-36)*6)\/(y\/(-6)). What is the greatest common divisor of u and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 137 + 377. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5055*f**4 - f**2 - 1275*f.\nAnswer: 121320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*a + 12. Is 7\/(a\/(-96)) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 176 + 259 = 0. Let s = 83 - n. What is the tens digit of 510\/9 + s\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091193 at most as big as -1091191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15689 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b452 (base 13) in base 11?\nAnswer: 566a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.3 (c) -0.2 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -155.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6514058 * 3.\nAnswer: -19542174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 6*c - c)*(2*c + 2*c - 5*c - 16*c - 20*c + 32*c + (c - 1 + 1)*(0 - 1 + 0))*(0*c - c - 1 + 2*c).\nAnswer: -18*c**3 + 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81581515 + -59.\nAnswer: 81581456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-255 + 140 - 243 + (2 + 1 - 4)*(2 + 1 + 0))*(2 + 2*h - 2) in the form p + d*h and give d.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/(i\/(i*(((i*i**(3\/2))\/i)\/i)\/i*i)*i))**26\/((i**1\/i)**13\/(i**(-2)\/(i\/(i*i**(-4)*i)))) assuming i is positive.\nAnswer: i**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(1539) - sqrt(1539)))**2 + (3*(sqrt(171) - 3*sqrt(171)))\/sqrt(9).\nAnswer: -6*sqrt(19) + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 27215296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 241, 0.07, -19\/6, -3\/4, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36090404 divided by -4.\nAnswer: 9022601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000475102754 to 7 dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 5*x**4 - 6*x**4 + (4*x**3 - 4*x**3 - x**3)*(x + 3*x - 2*x) - 2*x**2 - x**4 + 2*x**2 to w*x**4 + t*x**2 + c*x + m*x**3 + b and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.08, -2, 0, 1, 0.14, 0.3?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 90 = -13*j. Calculate the greatest common divisor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -23*m**2 + 959*m + 9580. Calculate h(-10).\nAnswer: -2310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -11*d + 2*d**5 + 4 - 24*d**5 + 10*d**5. Differentiate y(c) wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169820 is divided by 1201.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x + 2*a + 118, x = 3*a - 19. Let w = 3 - x. Suppose 0 = -d + w - 10. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {z: 2, c: 4, g: 4, d: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/90 + q**4\/36 - q**2 + 7*q. Let f(p) be the first derivative of u(p). Factor f(y).\nAnswer: 2*y*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -41*v + 3. Let z(l) = -27*l + 2. Determine 5*q(h) - 8*z(h).\nAnswer: 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -133, -138, -145?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5054 = 221*m - 582*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11419 + 11424. Sort r, 1\/3, 2\/9, -0.1 in increasing order.\nAnswer: -0.1, 2\/9, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Is (22\/4)\/(j\/(-2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r - 6. Let i(n) = 3*n**3 + 3*n - 5. What is 4*i(v) - 3*x(v)?\nAnswer: 9*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*m - 8*l, 5*m + 122618*l = 122614*l - 36 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2107723\nAnswer: 632316.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*d = -14. Suppose 0 = -d*y + b + 201, -3*y - 2*b + 98 = -2*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: Two letters picked without replacement from {t: 1, x: 2}. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/98923 and -67\/40733.\nAnswer: 692461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-6\/11)*t*t)*t)\/t*t\/t**0)\/(t*t**(-2)*t)**(3\/5) assuming t is positive.\nAnswer: t**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*209\/(-99) + 102.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2 + 2 + (-3*j**3 - 1 + 1)*(3 - 3 + 2*j) - j**4 - 3*j**3 - 4*j**4 + 3*j**4.\nAnswer: -7*j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2402*m + 2299*m = 1236 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770170 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1186 - 0?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 22. Suppose -4*f + 2*x - 46 = 0, 0*x + 4*x - o = 4*f. Let d = 2 - f. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 614*q**2 + 174*q - 3 wrt q?\nAnswer: 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3*o**2 - 2*o. Let c = -5 - -8. Let w(v) = 3*v - 4. Let x(g) = -2*g + 3. Let a(j) = c*w(j) + 4*x(j). Give z(a(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1311 + 12222?\nAnswer: 10411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -6 (b) 9\/8 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1165\/3 or 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270591235 + 0.6.\nAnswer: 270591235.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 60 = -0*s - 3*s, y + 10 = -4*s. What is the tens digit of (-27)\/y*44\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 5)*6 - -4. Does 21\/2 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**6\/(i**6*i\/(i\/(i*i**9))))\/((i**(-4))**(2\/5))**(-10) assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Suppose v = -4*l + 8*l - 44. Suppose -3*r = 3*a + r, 4*a + 2*r - 10 = 0. Calculate the remainder when l is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.027098033.\nAnswer: 0.0108392132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 24 + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80854922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154463 divided by 6\nAnswer: 154463\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.792034 + 0.42212?\nAnswer: 725.214154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 392, 0, -1, -17 in descending order.\nAnswer: 392, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7680 times 31.3\nAnswer: -240384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 - j. Let c(g) = -19*g**3 + g**2 + 3*g + 2. Let h be c(-1). Let x(u) = -9 + h - 2*u + 2*u**2 - 10 + u**3. What is 2*p(t) - x(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 18 - (3 - 22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06773 + -4.06773. Put 5, 1, s, 0.059 in ascending order.\nAnswer: s, 0.059, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159 and 0.08.\nAnswer: 12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-1 + 3*r + 4 + 0).\nAnswer: 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:48 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7605707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 7. Let p = 0 - -5. Solve -4*x + p = -k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/90 (b) 5 (c) 1 (d) -0.5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 + 7*m + 4. Determine r(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5646960 divided by 47058?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 1 - (0 - -4). Let j be (o\/22 + (-456)\/33)\/(-1). Is (5\/(25\/190))\/(4\/j) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000994 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -38*o - 29*o + 2159 + 1793 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -8, -2 in increasing order.\nAnswer: -9, -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**(1\/11) assuming n is positive.\nAnswer: n**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 9 - (-7 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 6. Let k = 12 + -11.7. Let r(p) = 46*p + 411. Let l be r(-9). What is the second smallest value in y, -2\/9, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-36) + 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260127 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000001 (base 2) to base 9.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -10*m - 254. Calculate the remainder when (2\/3)\/(m\/(-3042)) is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqvwqqquqvvqqw. What is prob of picking 3 q and 1 v?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 918 and 276.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose -o*g + 3*g + 11 = 5*x, 4 = -4*g. Differentiate 0*a**2 - 2 - x + a**2 + 6 with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - -92. Suppose d + 4*d - g = 0. Calculate the remainder when d is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59332 by -1.\nAnswer: 59332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 985071 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42666 + -21289. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -554617?\nAnswer: -2773085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w - 363792 = -315*w. What is the highest common factor of w and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/7 (b) -0.051 (c) -964\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 188 - -2db2?\nAnswer: 315a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + (-720)\/63 + 4\/(-7))*404\/4.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 169*l**2 - 50*l**2 - 43*l**2 - 37*l**2 - 40*l**2. Let j(c) = -480*c**2 + 6*c + 2. Calculate j(q(f)).\nAnswer: -480*f**4 - 6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197296700 rounded to the nearest 100000?\nAnswer: 197300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532374?\nAnswer: 2, 766187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*d + 2 + 1632*d - 330*d - 419*d - 362*d.\nAnswer: 141*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 231415220 (base 6) to base 2\nAnswer: 10000010100101111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.4 (c) 0.23 (d) 3\/5 (e) -1 (f) 15615\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 57\/2548?\nAnswer: 57\/2548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 374, 529, 662, 773, 862, 929?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -73. Let v = -12.05 + a. What is v rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/245 or 0?\nAnswer: -9\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/((g*g*(g\/g**(-5\/6))\/g)\/g))\/(g\/(g*(g*g*g**(2\/7))\/g)*g*g**(-1\/6)\/g) assuming g is positive.\nAnswer: g**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-3202.021\nAnswer: 4162.6273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**2 - 2\/9*u**3 + 0 + 2\/9*u.\nAnswer: -2*u*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/100995425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*g**3 - 920*g**3 + 33*g + 304*g**3 - 73*g + 40*g + 312*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2 - 5*p + 5. Let u(w) = 2*w - 1. Let l be (-128)\/28 - 16\/(-28). Determine l*b(t) - 11*u(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4744?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1946*i + 1945*i + 3*i**2 + 8*i**2)*(14*i**2 - 12*i**2 - 12*i**2).\nAnswer: -110*i**4 + 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -4. Is 2\/8 - (-118)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959098964 a multiple of 5906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30669920 and 1474.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 59. Is j(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 892*u - 23995. Give t(27).\nAnswer: 3005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385934*p*y**2 + 9975*p*y + 17*p + y**2 + 1 wrt y.\nAnswer: 771868*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9*5\/((-720)\/42) and (1\/(-10))\/(120\/(-1890)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9768 and 14256.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k + 15. Let i be h(0). Let p(g) = 2*g**3 - 18*g**2 + 7*g - 46. Is p(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3729 divided by -3\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -k + 5*a, a - 211 = -k - 3*a. Let d = k + -81. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:29 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 0*b - 6*b + (b + 5*b - 4*b)*(0 + 1 - 2))*(-362 - 122 + 16).\nAnswer: 2340*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 32*d + 20 = -4*f, -20 = 4*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-30))\/((-351)\/(-108)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*d = 7*a - 60630, 2*a = -2*d + 17324. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0 (c) -3\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16945 - 16948. Let h(s) = s**2 + 46*s + 133. Give h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 263*q + 3357 - 2305 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 1. Let f = -74 - -73. Let v(w) = 3*w + 5. What is f*v(l) + 5*n(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from mmvvvvnvqammavavqo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13097, 26206, 39317, 52430, 65545?\nAnswer: 78662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 150?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 10, n: 1, e: 1, h: 3, p: 1}. Give prob of sequence hnji.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n - 30124575*n**3 + 51*n + 30124561*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 4*j**5 + 4*j**5 + (-j**2 + 0 + 0)*(-4*j**3 + 12*j**3 + 24*j**3).\nAnswer: -34*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r - 6. Let g be m(3). Find u such that -1\/4*u**2 + g + 0*u - 1\/4*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*(d\/d**(-1\/7))\/d)**(-24\/7)*(((d**(-3\/2)*d)\/d)\/(d\/(d*d**14*d)*d*d))**(-41) assuming d is positive.\nAnswer: d**(-47935\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let c be b(0). Let p(z) = 84*z - 49. Let t(g) = 156*g - 6 - 351*g + 2 + 101*g + 101*g. Calculate c*p(u) + 49*t(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 271610434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 592731834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1666\/(-98) + -4 + 153. Solve 0 = -j*b + 137*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 (base 7) in base 2?\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 3. Let k(u) = 10*u + 15. Suppose -730 = -8*y - 818. Give y*m(b) + 2*k(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*s - 46 = 0, -3825*s + 160 = -5*i - 3821*s. Let o = -2 + 2. Let k(x) = x**3 - x**2 - x - 37. Let b be k(o). Is b at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 divided by 7.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/378 - (-15)\/14. Let s = -54530 + 491789\/9. Let v = s - 113. Which is bigger: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.315 * -111348\nAnswer: 35074.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*z + 1285*z**2 - 1429*z**2 + 343*z.\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dap when three letters picked without replacement from {z: 1, q: 3, d: 1, p: 1, a: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(2*-4)\/((-2046)\/(-13299))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 205363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.020243 + -29.069243. Let x = -0.4 - -29.4. Let k = x + j. What is k rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12187, 24374, 36561?\n\"Answer: 12187*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*n**3 - 70*n**3 - 71*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let o(c) be the second derivative of 1\/24*c**4 + 3\/2*c**2 + 0*c**3 - 3*c + 0. Let f(y) be the first derivative of o(y). What is t(f(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75999.\nAnswer: 3, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-23 - -37 - 34).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15528)\/(-9) - (-32)\/(-24). Suppose 7*n + 5*m = 3*n + t, 0 = 2*m + 8. List the prime factors of n.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/4 + 5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25820000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0 + 4. Let m be (2 + -3)\/(k\/76). What is the common denominator of -31 and (11\/(-55))\/(80\/m - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1954 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.4 (c) -0.3241 (d) 2 (e) 31 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-219)\/6 - -2 - -1)*278*183\/25437.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*w = 8, 81*i - 5*w + 352 = 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104600259?\nAnswer: 3, 11622251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*n + 176, -4*x - 273 = 4*n + 63. Let c = x - -131. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/12*(-48)\/4. Solve -4*r = -3*b + h, -5*r + 3*b + 19 = -6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 2. Let b(z) = -14*z**2 + 5*z + 7. Give b(n) - 6*f(n).\nAnswer: -2*n**2 + 5*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5 = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*g = 194*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + 2*p + 5*a, 3*a = 5*p - 39. What is the third derivative of -p*r**2 - 10*r**3 + 193 - 4*r**5 - 11*r**2 - 193 wrt r?\nAnswer: -240*r**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1033*h + 961. Is d(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**7\/42 - g**6\/12 - g**5\/12 - 4*g**2 - 5. Let h(t) be the second derivative of k(t). What is u in h(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowwwwowowowwwwoow. Give prob of picking 2 w and 1 o.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279389 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 17 = -d - 21, -3*s - 3 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 30*s + 13*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306658)\/3604 + 55 + (-60)\/(-2)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 + 16\/2 + 4. Suppose p = -2*d - 6, 8*d - 4*d + 2 = 3*p. Suppose -4 - 2 = -2*j. Sort j, p, y, 0 in descending order.\nAnswer: j, 0, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178.56 times -0.5\nAnswer: -89.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/270)\/((-2)\/6). Let m = -1.2 - -1. Let x = 0 - m. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 11*o - 6. Let r(s) = s + 17. Let x be r(-8). Determine v(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*v = -235, v = 4*v - 3. Calculate the greatest common factor of p and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.7, 4\/7, 2408, -0.3, 25 in decreasing order.\nAnswer: 2408, 25, 4\/7, -0.3, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose j - 12 = x*k, -4*k + 1 = -2*j + 13. Let h = 0.4223 + -0.6223. Which is the closest to j? (a) 2\/7 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8682800 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 16*z**2 - 26*z + 30. Let w be t(-14). List the prime factors of w*-7*(-3 + (-255)\/21).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 1. Let q(k) = -5*k**2 + 24*k + 9. Let n(s) = q(s) - 6*r(s). Let z be n(-18). Solve z*c = -2*t + 2*c - 12, 0 = -5*t - 3*c - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -619, -620, -621, -622, -623, -624?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 110128520?\nAnswer: 110128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**2 + 40*z**2 + 44*z**2 + 46*z**2 - 168*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*d - 54, x - 2*d = -7*d + 18. Calculate the least common multiple of 22 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53654 and 6562.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose 0 = r*a - 0*a - 9. Solve -t = 2*t + 5*q - 19, 0 = -3*t + a*q + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = 6 + 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3179.4 rounded to the nearest 10?\nAnswer: -3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6766311 - 6766311 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 240*n**2 + 0 + 0*n**3 + 0*n + 1\/12*n**4. Let m(d) = -d**2 - 21*d. Calculate i(m(h)).\nAnswer: -2*h**2 - 42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 30 = 5*i - 2*j, -5*i - j = 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*d**2 - 143*d**3 + 503*d**2)*(11*d**2 + 25*d - 25*d).\nAnswer: -1573*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + 0)**2*3*6 + ((sqrt(65) + 2*sqrt(65)*-5)\/((sqrt(35) + (sqrt(560) - sqrt(35)))\/sqrt(7)))**2.\nAnswer: -17667\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 1, s: 17}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 68*l**3 + 4*l**2 + 144*l + 22. Is 22 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1132*q**2 - 14*q**4 + 319*q + 216 - 320*q - 1133*q**2 in the form r*q**3 + b*q**4 + c*q**2 + n + v*q and give n.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/7*-2)\/((-3)\/(-63)). Suppose r - 6 = 3*n. Let l = 32 - 18. What is the least common multiple of l and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.2. Let x = -0.5 - f. Let l = 1 + x. Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52155, 51635, 51115?\n\"Answer: -520*j + 52675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -898.25 times -1514\nAnswer: 1359950.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 + 155.7. What is the second biggest value in -39, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -4, -46683, 21 in ascending order.\nAnswer: -46683, -6, -4, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*12\/(-42)*28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*3\/17. Let t = -40 - -40.48. Let c = 0.28 - t. What is the closest to 0 in m, 0.4, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 13*y**2 - 13*y + 10. Let u(w) = w**2 + w + 9. Let q be u(0). Let n be i(q). Suppose -7 + n = 5*h. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 1, q: 3, d: 1, y: 2, k: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*6 - sqrt(15) - (sqrt(960)*-1 + sqrt(960)))\/(((-2*sqrt(147))\/sqrt(7))\/(sqrt(847)*1)).\nAnswer: -55*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135806 is divided by 6376.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112683?\nAnswer: 3, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*a**5\/3 + 45*a**4 - 97*a**3 + 313*a**2\/3 - 56*a + 12.\nAnswer: -(a - 1)**3*(5*a - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 753, 1109, 1467?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13121181 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -131. Suppose 3*x + 1075 = i*x. Suppose -2*v + 77 = g - x, v = 3*g + 132. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67.1 - -64. Let x = o + 1.1. Which is the third biggest value? (a) x (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30 and 17.77.\nAnswer: 47.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from nfpgwnfpgfgf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by 971.\nAnswer: -158\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**5 + 5\/8*o**4 + 0 + 0*o**3 + 0*o + 0*o**6 - 5\/168*o**8 + 21*o**2 + 0*o**7. What is the second derivative of z(x) wrt x?\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*t + 9, -3*t = -3*p + 2*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-1782))\/2)\/(4726\/21267)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10116, 40289, 90532, 160845, 251228, 361681, 492204?\n\"Answer: 10035*k**2 + 68*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqgqgqggqggqgaggg. Give prob of picking 3 q and 1 g.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)*d)**(-35\/4)\/(d**(-2\/13))**(-17\/4) assuming d is positive.\nAnswer: d**(353\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*k - 12 = -2*o, o - 3 = -k. What is the third derivative of -16*n**3 - 6*n**2 + 4*n**o + 4 + 2*n**4 + 5 - 8*n**3 - 16 wrt n?\nAnswer: 48*n - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - (-87)\/27. Suppose -z*v + 67 = -5*i, v = -4*v + 3*i + 85. Let h = 20 - v. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b8a (base 14) to base 8\nAnswer: 31706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 78.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19656 divided by 2?\nAnswer: 9828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/8 - 4)*10. What is the closest to b in -3\/5, -1, -12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.379036nm to kilometers.\nAnswer: 0.000000000002379036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-22)*((-22)\/132)\/((-17)\/(-33))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 4\/2 - -1. Suppose -4*l = 2*x - 40, 3*l - 55 = -t*x - 2*l. What is the least common multiple of 4 - 3\/(6\/(-4)) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 271.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*d + 94, -3*d + 2*i + i = 87. Let s = d + 48. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 62*n**2 - 283*n - 65. What is the units digit of a(57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/4 (c) -0.5 (d) 5 (e) -29520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7291*l - 81 + 4 = 7317*l + 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-37)\/(-5) - (-4)\/(-10). Suppose 5*z - 18 = f. Suppose z*x - 3*x - 86 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1528*b + 145924.\nAnswer: 4*(b - 191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vupppuuwupv. What is prob of sequence pwvu?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 665 - 664.8811. Round m to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -21. Let j = -3 - y. Let k(v) be the third derivative of v**6\/120 - v**5\/10 - v**4\/6 + 4*v**3\/3 - v**2 + 2*v. Give k(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69270.\nAnswer: 2, 3, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 232 * 4.\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/((z**8*z)\/z)*z)\/z))\/(z*z*z**(-1\/9)\/z))**(5\/16))**(-1\/6) assuming z is positive.\nAnswer: z**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 - 117974136*z - 869868547809156 = 0.\nAnswer: -14746767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-6 + 6 - 5*u)*(-2 + 2 + 3).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)*(0\/1)\/1. Let d(b) = -b. What is d(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j + 4. Let q be f(0). Suppose -2*y - 2*r = -3*y, 2*y + 4*r = 8. Suppose q*s = 3*d - d + 4, y*d = 3*s - 2. Solve -l - l - d*p = 2, 5*p = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11624125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285513423.\nAnswer: 3, 13, 37, 241, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/110347734 and 46\/98937.\nAnswer: 331043202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -19, -30?\n\"Answer: -11*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**3\/6 - 8*h. Let g(b) be the second derivative of -b**3\/2 + b. Calculate w(g(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 250. Let t be d(39). Suppose t*v - 43826 = -v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1054 + -1055. Which is the nearest to u? (a) -2\/43 (b) 0.08 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -106*c - 328. List the prime factors of l(-22).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd - 20b947?\nAnswer: -20ba25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-1 + (1 - -4)). Let w = 414 + -410. Which is the closest to j? (a) 3 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2435*w**3 + 6*w**2 - 3. Let i(k) = -2445*k**3 - 7*k**2 + 4. Determine -4*c(a) - 3*i(a).\nAnswer: -2405*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18996 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511293789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(16\/(-12)) + 268. Let j = -150 + d. Calculate the remainder when j is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76920362 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/92 and -59\/68.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6584.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*f - f, 12 = 3*q + 3*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + -5*(sqrt(1100) + 2))))**2.\nAnswer: 1200*sqrt(11) + 39700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 4. Let w = p + -6. Factor 4*n**4 + 10*n**2 - 4*n**4 + 6*n**3 + 0*n**4 - 2*n**w - 2*n**5 + 4*n.\nAnswer: -2*n*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:12 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, 65.19, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 4 + l**2 - l + 0*l**2 + 18. Let t be y(0). Suppose -3*c = 2*h - 0*h - t, 5*h = 5*c + 10. Solve -b = c*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 10) to base 9\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3531325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 3*s**3 - 4*s**3)*(1 + 7 + 3).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.2 and 782?\nAnswer: 738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 5, 3\/164, 5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 767*a + 762*a - 111154 = 0, -w - 5*a + 37098 = 0. List the prime factors of w.\nAnswer: 13, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14388647 - 4?\nAnswer: -14388651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 11. Let t(s) = -16*s + 44. Give -9*c(l) - 2*t(l).\nAnswer: -4*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, 9, 4, -101 in decreasing order.\nAnswer: 30, 9, 4, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (6*(2*sqrt(40) - sqrt(40)))\/sqrt(8) + (4 + sqrt(5) + sqrt(5) + 1*sqrt(5) - (sqrt(5) + -2 + 5)))*-6)**2.\nAnswer: -1152*sqrt(5) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1968 and 9600?\nAnswer: 393600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1569 = 28*q - 19041. Calculate the lowest common multiple of q and 702.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87541 is divided by 2715?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 2\/9, 0.4, -1\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29262.\nAnswer: 2, 3, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 9, i: 6}. Give prob of picking 2 i and 1 l.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 14*x + 92. Let v be d(-6). Let u be 6*-5 - (1 + 1). Is v*4\/u - 137\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 4 - 15\/2*d**3 + 0*d + 18*d**2 - d**4. What is the first derivative of b(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**3 - 9*t**2 - 52*t - 20. Let k(l) = 3*l**3 + 4*l**2 + 26*l + 9. Calculate 9*k(p) + 4*z(p).\nAnswer: 3*p**3 + 26*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 7*x**2 - 2*x + 1. Give u(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 371. Let y be (-9 - -22)*(-1 + 3). Calculate the highest common divisor of y and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -53. Let r = 19 - m. Calculate the remainder when 83 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -35 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6.5. Let i = r - 0.5. Let d = i + -9. Which is the closest to -1? (a) -2 (b) d (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommoyymmm. What is prob of sequence oym?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**4 - 9*d**4 + d + 3*d**4 - d**4 - 8*d**2 in the form b + g*d**2 + q*d**4 + f*d + s*d**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 31393962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o**3 + 8*o**2 - 2*o - 1. What is the thousands digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 6. Suppose -3*o - 3*k + 44 = k, -20 = 5*k. Suppose -4*v = v - o. Suppose -3*f - v = -2*f. Calculate g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 7*r - 6*r)*(4 - 6 + 3).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p - 16 = 0. Suppose 2*r + y = -2, -2*y - 4 = p*r - 4*y. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:59 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*g + 453*g - 41 = 43. Let r(f) be the first derivative of 2\/9*f**3 + 2\/5*f + 8\/15*f**2 - g. Factor r(u).\nAnswer: 2*(u + 1)*(5*u + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74203871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16404094 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*s - 4*s - 12, -4*s = -b + 18. Suppose 0 = 4*k - b*h + 432, 5*k + 118 = -3*h - 444. What is the units digit of ((-33)\/(-55))\/((-2)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 564470 to the nearest one thousand.\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1485487628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gbgybbvtvgv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133*8.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (3 - (3 + -4)). Let v(g) = g**2 + g - 1. Let c(a) = 4*a**2 + 2*a - 2. Let p = 74 - 76. Give j*v(t) + p*c(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 740956\/3525 + -157\/1175. Let i = m + -1037\/5. Factor -i*p + 0 + 4\/3*p**2.\nAnswer: 4*p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 13 - -34) + (2 - (-3 + -1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 16*j**2 + 15*j - 5. Give a(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 246. Suppose 0 = -2*g + b + 18, 0 = g - 2*b - 570 + 546. What is the least common multiple of g and v?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261614367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10*o - 497 = 0. Let a = 81 + o. Let v = 7 + 3. 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: Let c(y) = 2*y**2 - y - 5. Let g(w) = 3*w**2 + 20*w + 5. Let o(v) = -2*c(v) + g(v). What is o(23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1877\/8 - 235. Let v be (-3 - (-3 + 2))*1. Let i be (1\/3)\/(12\/8 + v). Sort p, -2, i in ascending order.\nAnswer: -2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/9, 18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*d + 114 - 96, -26 = -c + 5*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9721 to 2 dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -5. Let y = 27 - l. Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*u - 92 = 0, -3*m + 174 = -5*u - 102. Suppose m*t - 90*t = 2188. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-5)\/(10\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 260\/1*(2 + 0). Suppose 4*r - 3*s - h = 0, -s - 228 - 157 = -3*r. Suppose -5*z + r = y + 42, 4*z + 340 = 4*y. What are the prime factors of y?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:26 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -8, 3 in decreasing order.\nAnswer: 3, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z + 2 = 2*w, 3*z + 3*w - 3 = 0. Let u be ((-15)\/6 + z)*-2. Solve 0 = -i + u*h + 4, i + 0 = h + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220 + -66. Let q = i + -52. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 2*v + 11*v**2 - 8*v. Let p(y) = -2*y**2. Calculate p(q(k)).\nAnswer: -242*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-60)\/5)\/12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 21*k + 8. Let n be w(15). Let v(l) = n*l**2 - 205*l**2 + 101*l**2. Let q(c) = 2*c**2. Give q(v(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -4270, -9479, -16616, -25591?\nAnswer: -36314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*b + 764. Suppose 4*k = b - 3. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7506 = -3*x, -x + 4*g - 104 = 2398. Let a = x - -1563. Let t be 6\/15 + a\/(-15). What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -1 (b) 3.35 (c) -1\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m - 4. Let y(f) = 20*f + 3. Let d(s) = 5*x(s) + 6*y(s). Differentiate d(o) wrt o.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zojj. Give prob of sequence jjz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -102.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 1605, 5\/3, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 3. Suppose -g*z + t - 5 = 0, -5 = -z - 5*t + 4*t. Which is the third smallest value? (a) -0.12 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-16))\/((-1886)\/60352).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -56*q + 210. Give z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/214 + 251\/10272. Let y(q) be the second derivative of 1\/160*q**5 - 1\/4*q**2 + 0 - 1\/12*q**3 + 5*q + i*q**4. Factor y(b).\nAnswer: (b - 2)*(b + 1)*(b + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. Let z be s(-7). Let c = -425 + 1041. Suppose -2*q = -4*o + c, 3*o - 5*q = 7*o - 616. What is the greatest common factor of o and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**2 + 4744*k - 1406596 = 0?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103744, 103725, 103608, 103345, 102888, 102189, 101200, 99873?\n\"Answer: -8*q**3 - q**2 + 40*q + 103713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*t - 7*f - 7410, 5*f = 2*t - 2964. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(1\/2)*i*i)*i*i*i)**(2\/63))**(4\/3) assuming i is positive.\nAnswer: i**(4\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(1539) + -4)**2 + ((sqrt(1539) + 1 + sqrt(1539) - sqrt(1539))*-5)**2 + 5 + 1.\nAnswer: 486*sqrt(19) + 44663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: e6896 (base 16) to base 8\nAnswer: 3464226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 129045.531 rounded to the nearest 1000?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + f + 1. Let m(i) = i**2 + i + 1. Suppose -3*s - 1 = j, -3*s = -0*j + 4*j + 4. Let x(o) = 1182*o + 8275. Let q be x(-7). Give j*m(k) + q*y(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 14. Suppose 4*j - 2 = 2*j + 2*d, -3*d = 3. Let v = j + 5. Solve -3 = 2*r + v, -2*x + z = -2*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868 (base 11) in base 15?\nAnswer: 1d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2. Let f(w) = w**2 - w**2 + 2*w**2. Calculate f(o(k)).\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 76*o**3 - 312*o**2 + 560*o + 800 = 0. What is o?\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.3 - 56. Let s = 8 - 6. What is the closest to 2 in 2\/13, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334 + 727. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 69339, -1 in ascending order.\nAnswer: -1, 1, 69339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73774865, -73774842, -73774783, -73774670, -73774485, -73774210?\n\"Answer: 3*s**3 + 2*s - 73774870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-1560))\/((-1)\/(-27)) - 8\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**24)**(-7\/2)*(w*w\/((w**5\/w)\/w))\/w*w\/(w**(2\/9)\/w) assuming w is positive.\nAnswer: w**(-758\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5400 and 49\/9180?\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -12)\/(1\/4). Suppose 7*z - 27 = c*z. Suppose -3 - z = 3*f. Sort -5, f, 4.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156.15773*31.\nAnswer: 4840.88963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 96+0.046\nAnswer: 96.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let n(k) be the second derivative of 1159*k**4\/12 + 5123*k + 1. Determine p(n(t)).\nAnswer: -2686562*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.2, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2250 and 30677250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 + 20*x - 36. Let f be p(7). Solve -6 = f*i - 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (((sqrt(99) - -1*sqrt(99))*-3 - sqrt(99)) + sqrt(99)))\/(sqrt(9) - sqrt(225)*-1).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7700 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773, 2415, 3133, 3927?\nAnswer: 4797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36552?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457258771 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 982789 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: Let h be ((-45)\/18)\/((-12)\/24). Solve 6*w = h*w + 3*g + 8, 2*g + 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -5 (b) 0 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 2*z)*(2 - 7 + 0)*(-186 + 186 + 13*z**3).\nAnswer: 130*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/821 (b) -19 (c) -24\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 74\/5 of a millennium?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6268467 is divided by 7289.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/725630 and -81\/73010.\nAnswer: 35555870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 13 + 1695*n**2 + 10.\nAnswer: 1695*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 3*d + 36, 3*x - 35 = 4*d. Suppose -3*g - 27 = 18. Let a = g - d. Let t(o) = -o**2 - 6*o - 1. Determine t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 10) to base 6\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41994376*r**3 - 2*r**2 - 39*r + 850531 wrt r.\nAnswer: -251966256*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 2*(-7662)\/(-4)*-1. Suppose j = 6*w + w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 13 - 4. Let r = -4 - q. Suppose r*x - 3 = 12*x. Solve -s - 26 = -n + 6*n, 11 = -x*n + 4*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2047 + 24390314212\nAnswer: 24390312165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 7*m**2 - 8*m - 8. Let z be b(-6). Suppose 2*a = -2*a. Suppose w - p - 16 = a, -z*p + 24 = 5*w - 11. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 10*d + 3. Let l = 175 - 186. Calculate v(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028562 to six dps.\nAnswer: 0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8454.\nAnswer: 2, 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -s + 47, -4*d = -3*s - 28 - 2. Let w = 13 + d. What is the remainder when 43 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23546304 and 1875.\nAnswer: 23548179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-10)*1\/(3\/48*-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/51*3\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13195.\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5699937839 and -0.2.\nAnswer: -5699937839.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -638*j**5 - 98578*j**2 + 98578*j**2 + 39 + 3*j wrt j.\nAnswer: -12760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 491 + -485. Solve -g = d - 5*d - j, -6 = d + 4*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.6, 167 in descending order.\nAnswer: 167, 4, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1301 - -1.121169. What is g rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 5*i + 8. Let w be l(6). Solve 4 = b - w*b + 4*a, -2*b = 4*a - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -6, -29, -62, -105?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 3 + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*s - 4*s - 39, -2*s - 177 = -5*u. Suppose -3*n = -3*c - 21, 2*c = 4*n - u + 15. Solve -4*l + 9 = -n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*i - 5*k, i - 254 = -3*k - 242. Solve -32*j - 65 + 33 = i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/411404 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 1. Let v(z) = -2*z + 2. Let d = 18 + -28. Give d*b(s) - 4*v(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 2, x: 2, o: 7, u: 2, k: 2}. Give prob of sequence okxu.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*r**4 - 12*r**2 + 12*r**2 + (r**3 + 0*r**3 - 2*r**3)*(4*r - 3*r + 0*r) in the form o*r**4 + q*r**2 + f*r + v*r**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -3, 5934, -1\/5, -1.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6128\/6)\/((-166)\/(-36105)). What is w rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfe. What is prob of picking 1 e and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b**3 + 10*b**2 - 5*b - 5. Let v(k) = 13*k**3 + 15*k**2 - 7*k - 7. Calculate 7*q(g) - 5*v(g).\nAnswer: -2*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3800 or 3802?\nAnswer: 3802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -27. Let p = 1\/6 - 7\/18. Which is the second smallest value? (a) o (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 53 - 19. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-1*1 + 1*sqrt(38)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 26 = -39 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - u**2 + u**2)*(-2*u + 6*u - 2*u) + (2 + 2 - 2)*(131 + 8*u - 131 + 3*u**3).\nAnswer: -2*u**3 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247637 (base 8) in base 5?\nAnswer: 42114223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161861*j**3 + 3485559*j**3 - 1161874*j**3 - 1161812*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 8) in base 7?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:07 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701563 is divided by 928.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -10) + -4 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 6. Suppose -d - 5*k - 25 = 4*d, 5*k - 5 = 0. Let x be q(d). Suppose z + 2*z - 2310 = x. What is z rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 3.09. What is the biggest value in 0.5, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 5)*(5*i - i + 13*i)*(-i + 2*i + 0*i) to g*i + r + u*i**2 and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snsh when four letters picked without replacement from {n: 2, w: 3, h: 5, s: 3, p: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 6. Solve 0 = -t*a - a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1453 and 14.49.\nAnswer: 21053.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12619354 divided by 61259\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 431 divided by 4\nAnswer: 431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 - 3*y - 1. Let u be q(3). List the prime factors of 231\/28 + (-2)\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 - 2*l**2 + (-2*l - 2*l + 6*l)*(-4*l - 2*l + 4*l) + l + l**2 - l)*(-2 - 5*l + 5*l + 3*l**3).\nAnswer: -18*l**5 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -78, -83, -90, -99, -110?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = -4*o. Suppose -d - 2*r = -163, 474 = -2*d + o*d + r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j. Suppose 3*k - 7*k - 32 = j. Let x be k\/12 + 16\/6. Sort x, -4, 5 in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(9\/5))\/r**(-11))\/(r**(-1\/3)\/r**(-3)) assuming r is positive.\nAnswer: r**(113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Let l = -0.0129 + 0.2129. What is the third biggest value in -3, r, 0.09, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-29)\/x*x)**(-2\/9)*(x**(-4)*x)**(-6\/25) assuming x is positive.\nAnswer: x**(1562\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -61. Solve v = -5*t - 14 + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 96, 123, 170, 243?\n\"Answer: x**3 + x**2 + 3*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 12*g + 4. Determine b(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 1104756?\nAnswer: 14361828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - 12.4. Let k = 14 + s. Which is the second smallest value? (a) k (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by (-12)\/(-9) - (-3 + (-21)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 + 8*z - 6. Let t be 9\/15*(-4 - -24). Suppose v - 3*v + t = 0. What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61717980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - 3*f + 3455. Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18356207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:02 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184886404*s**4 + 8*s - 2174680?\nAnswer: -2218636848*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + r + 2. Let d(p) = -28*p**2 - 1656*p + 3264. Let b(v) = -d(v) - 10*o(v). Find f, given that b(f) = 0.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27835 + -15962. What are the prime factors of p?\nAnswer: 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95*-10993.89.\nAnswer: -1044419.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3*y**2 - 3*y**2 + (y - 3 + 3)*(5*y - 3*y + y) - y**2 + y - y + 4*y**2 - 3*y**2 + 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, p: 2, y: 1, c: 4}. Give prob of sequence cpp.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-122)\/(-4)*2 + -1. Suppose 2*x - p - 40 = -10, 0 = 3*x - 4*p - 45. Calculate the greatest common factor of x and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 0 + 115 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 1. Suppose 1 = -w - 1. What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -97.923. Let w = 1012\/1527 + 2\/509. Do w and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*o + 2*r = -1063*o - 16, 14 = -4*o - r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 2*c - 2*c + 3*c**3 - 8*c**2 to the form o*c + j*c**3 + u*c**2 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -412.4897865 to 2 decimal places.\nAnswer: -412.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 0)*(-27*y**3 + 2575 - 2575) in the form h*y**3 + q + u*y + m*y**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l - 16. Let c(a) = 3*a - 3. Suppose 5*w - j + 57 = 0, -3*w - 9*j - 41 = -13*j. Let y(r) = w*c(r) + 2*g(r). What is y(3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/82 - 35\/164. Let v be (-3)\/7 + (-335)\/35. Let j be (-135)\/v*2\/(-3). Sort 0, c, -0.5, j in increasing order.\nAnswer: j, -0.5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*q + 12, -2*q + 5*q = -r - 4. Let k be 1\/r*(12 + -8). Let j(s) = s**2 + 18*s + 20. Let m be j(-17). Put k, 1, 4, m in descending order.\nAnswer: 4, m, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/60 + 29*y**5\/90 - y**4\/2 - 64*y**2. Find f, given that o(f) = 0.\nAnswer: 0, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.7264 millennia to years.\nAnswer: 54726.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 720060, -5, -2 in ascending order.\nAnswer: -5, -2, 4, 720060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.272948 microseconds to hours.\nAnswer: 0.00000002368693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - n)*(672 - 322 + 258 + 725).\nAnswer: -1333*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 3*z**3 + z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.87499 to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - 0.4. Suppose 2*f - 141 = -45. Let n be (0 + -3)*8\/f. Which is the third biggest value? (a) -3\/4 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1 + 8\/(-1). Let u be c*(14\/(-3) + 4). Solve m = -a - u, 2*a = -0*a + 4*m - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -15306, -2, 11, 1 in decreasing order.\nAnswer: 11, 1, -2, -15306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25.10841 grams?\nAnswer: 0.02510841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 644 - 649. Let n(x) = -11*x - 8. Determine n(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 54*b**2 - 486*b - 1458.\nAnswer: -2*(b + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:59 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 589?\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3*((-6)\/3)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 not equal to 3\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63\/8 + -929\/120. Which is the third biggest value? (a) -2\/15 (b) t (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, q: 4, c: 1, v: 3, b: 1, m: 1}. What is prob of picking 1 v and 3 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - -38. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/49, 1\/5, -295541 in ascending order.\nAnswer: -295541, 2\/49, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 8*f - 12. Let p be s(-10). Find the second derivative of -k**5 - 3*k - k**5 + p*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 4\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - 2*i**3 + (1 - 1 + i + (2 + 2 - 3)*(2*i - 4*i + 3*i) - 19*i - 11*i + 10*i)*(-14 + 3*i**2 + 14))*(-i**2 + 7*i**2 - 3*i**2).\nAnswer: -168*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 18*n + 2. Let w be 8\/(-28) - 256\/(-14). Let m be i(w). Suppose m*p - 3*p + 797 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1 + 2*g + 1 + 11*g**2 + 2*g. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0769 in 2\/15, 4.2, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -12*o - 7 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -31. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -49*x**2 - 4083*x + 2774. Calculate a(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 320954 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1370.71442 to the nearest 10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 284*l - 2165. Determine j(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -247 - -234 - (23 + -10).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/60 - p**5\/15 + p**4\/4 - 5*p**3\/6 + 980*p**2. Determine j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 - 95*y**2 + 100*y = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - d - 96 = 0, 0*t = t - 5*d - 43. Suppose -4*w = 2*n + 14, -n + 3*w + w = -t. Suppose 2*s - 135 - 37 = -2*j, -n*j - 398 = -5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s. Let f be y(1). Suppose 0 = -x - 5 + f. What is the derivative of a**3 - x - a**3 + 3*a**3 wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 660.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -528*x**7\/7 - 2*x**3\/3 - 763*x**2\/2 - 4287. Find the third derivative of j(f) wrt f.\nAnswer: -63360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 + (-4)\/15. Let k(x) = -13*x + 59. Let d be k(5). Let m be ((d - -1) + 22)\/1. Which is the closest to 2\/3? (a) o (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**2 - 4*s + 10. Let f(n) = -5*n**2 + n - 3. Suppose -3*x = -4*x + 3. Let b = 7 + x. What is b*f(y) + 3*v(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6718?\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1845, 15, 107 in descending order.\nAnswer: 1845, 107, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 74 - 74 - x. Let j = -6 - -4. Let z(m) = -3*m - 1. Suppose -4*a = 0, 5*d = 4*a + 12 + 13. Determine d*r(h) + j*z(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372018?\nAnswer: 2, 3, 62003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022 + 1010003120?\nAnswer: 1010001032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -46, -1, -29380.\nAnswer: -29380, -46, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -132696870 divided by 30\nAnswer: -4423229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 30 = 5*k, 0 = -115*i + 35*k - 31*k - 559 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 15*m - 485. Let h be q(17). Solve 3*p + h - 65 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4307136.0752 minus 22.2?\nAnswer: -4307158.2752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 - 5*q**2\/2 + 4*q + 1. Let f be h(-6). Let r be (8\/f)\/((-4)\/(-10)). Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let s(o) = 946*o. What is p(s(x))?\nAnswer: -1789832*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17168 is divided by 239?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:52 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*4*-1 - -2*sqrt(78)*2)\/(sqrt(486)*-3*-6 + sqrt(486) + -1*(sqrt(486) - (-1*sqrt(486) - sqrt(486)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 9*u**3 + 2*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 581 - 84420?\nAnswer: -83728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-1495)\/(-117)))\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -189\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 3*v**2 - 3*v - 68. Let a(b) = 3*b**3 + 5*b**2 - 5*b - 135. What is -3*a(q) + 5*h(q)?\nAnswer: q**3 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-6)*567\/(-28). Let u be (-2)\/(-14) - q\/(-14). Suppose -5*g - 20 = 0, 3*v = 2*v - u*g + 13. Calculate the remainder when v is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/53991 and -13\/30852.\nAnswer: 215964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 897877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 48 + 171. Suppose 0 = q - 0*q - m. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 6*s = -240. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 11*m - h = -3, 7*h = 5 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-3*i**2 - 51*i**3 - i**2 + 50*i**3) - 3*i**3 - 2*i + 2*i to the form f*i + a*i**3 + o*i**2 + q and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72764.000055129 - 72764. What is v rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 4*r - 33 = -r, -5*p = -r + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10060 + 12125. Calculate the remainder when q is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*n**2 - 13838*n - 155*n**2 + 6985*n + 6853*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from euntgoogotno?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -5*g - a, 551*g + 56 = 548*g - 4*a for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.89 and 0.4?\nAnswer: -2.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*i + 120*i = 2*w + 2, -3*i = 7*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - -3.8. Suppose 0 = -3*n + 6 + 15. Let k = n - 4. Which is the third smallest value? (a) i (b) k (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2 + 17*m + 6. Let j(z) = 23*z**2 + 19*z + 5. Calculate -4*f(o) + 5*j(o).\nAnswer: 19*o**2 + 27*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -107, 304, 989, 1948, 3181, 4688?\n\"Answer: 137*m**2 - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17238081?\nAnswer: 3, 7, 41, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4362182, -4362166, -4362148, -4362128, -4362106, -4362082?\n\"Answer: i**2 + 13*i - 4362196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(200) - (1 + sqrt(200) + 3)))**2 - (-4 + (4 + sqrt(200) + 1)**2 + sqrt(200)))*-2.\nAnswer: 220*sqrt(2) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 1\/7, -1, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7371803*-0.4\nAnswer: -2948721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9087 + 9088. Sort j, -17, 113.\nAnswer: -17, j, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/((-5)\/(-520)). Let i = g + 34. Let n = 27 + i. Solve 0 = -2*j - m + 6, 0*j - 3*j + n = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = -16. Suppose 3 = -2*k - k, u*s - 152 = -4*k. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let j = 202\/717 - 8797\/28680. Which is the third smallest value? (a) j (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/8)*u*u\/((u**(-4)\/u*u)\/u) assuming u is positive.\nAnswer: u**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 30. Which is the biggest value? (a) -2\/3 (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 82*w**4 + 8 + 2*w - 3*w + 0 to o*w + p*w**3 + b*w**4 + s + u*w**2 and give b.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2. Let r(u) be the first derivative of 11*u**2 - 10*u + 222. Determine r(v(k)).\nAnswer: -66*k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*h - 22*h - 3276 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -45.\nAnswer: -45, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 7) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 + 849\/5. What is the second biggest value in 0.4, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 2767.\nAnswer: 2767.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-33 - -18) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + r - 9 = -1, -5*y + 2 = -r. Suppose -o + y = -0*q - q, 5*o - 5 = -q. Let z be 135\/(-75)*(-8)\/36. Which is the closest to z? (a) -1 (b) 3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 16833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51133206 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2\/3, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12 + 18 - 4*z)*(-3*z**3 + 2 - 2 - z**3 + z - z + (3*z - 3*z - 3*z)*(4*z**2 - 2*z**2 + 0*z**2)).\nAnswer: 40*z**4 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 2. Let f be (-12)\/16 + 11\/4. Let m be (-1 + f)\/((-3)\/(-18)). Does 20 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/((y*y\/(y\/((((y\/(y\/y**(3\/10))*y)\/y)\/y*y)\/y))*y*y)\/y)*y)\/y)\/y)**(-5\/6))**(21\/4))**8 assuming y is positive.\nAnswer: y**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74*l + 74*l - 16*l**2 + 2*l**4)*(1 - 1 + 2) to r*l**4 + f*l**3 + y + m*l**2 + v*l and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + -7)\/(3\/5). Solve 5*j = -5*f + b, 4*j = j + f - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {x: 1, j: 2, i: 1, l: 1, f: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((130\/48)\/13)\/(185\/(-518)) - (-12)\/(-16)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 5*s + 21. What is y(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19660, -39292, -58896, -78472, -98020, -117540, -137032?\n\"Answer: 14*d**2 - 19674*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67970 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 520*z + 2447. Is h(-166) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -17.32. Let z = k - -1.597. Let n = z - -0.189. What is n rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/3 (c) 10 (d) 0.36 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10780.01 + -10780. What is the fourth biggest value in -0.2, 1\/7, n, 0.5, 0.19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -3, 1, -17, -4638 in descending order.\nAnswer: 1, -2, -3, -5, -17, -4638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/7 + 392568*m**4\/7 - 17122769280*m**3\/7 + 248919400425600*m**2\/7 + 995951591136000*m\/7.\nAnswer: -3*m*(m - 43620)**3*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 13*a + 5. Let t be u(-13). Suppose -4 = 4*w, t - 3 = 2*o - 2*w. Is o less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 51 (c) 5\/4 (d) 0.01 (e) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 756964*g**4 - 22*g + 756991*g**4 - g**3 - 4*g**3 as x*g + y*g**3 + p*g**2 + l + z*g**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1342480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4611, 4604, 4597, 4590, 4583?\n\"Answer: -7*d + 4618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2291 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 5, 0, 3 in descending order.\nAnswer: 5, 3, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from {n: 2, r: 4, z: 3, o: 2, k: 2}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -11*n - 1. Let c(r) = -32*r - 2. Determine 4*c(h) - 11*j(h).\nAnswer: -7*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v**2 - 30*v + 182. Let u(j) = 12*j**2 + 20*j - 120. Let a(d) = 5*b(d) + 8*u(d). Calculate a(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1167\/1930 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 12. Let x(z) = -11*z + 26. Determine 7*b(f) + 3*x(f).\nAnswer: 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/15 - (-148)\/20. Suppose -2*i + 0*i = -p. Solve -3 = -i*x + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.1.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let b = -3 + z. Let a = b - -2.0000003. Round a to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose 15 + 145 = -5*s + 2*y, 2*s + 2*y = -50. Find the common denominator of 684\/s - 1\/v and 97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 12 - 316*t + 331*t - 3. Give j(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/(-164) - 105\/4 - (11 + (-172)\/16)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -6 - 4 - (8\/(-6))\/(12\/198)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 2*r**2 + 2. Let s be a(-2). Let d(k) = -s*k + k + 2 + 0. Let z(p) = -p**3 + 8*p**2 - p + 8. Let b be z(8). Calculate d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 0*n - 5*n + 1 + n - n**2. Let d be c(0). Let s be (-4)\/2 - d*-32. Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18290, -36555, -54820?\n\"Answer: -18265*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129969643 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 25 = 209. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*k + 5, 3*k - 4*o = -0*o + 29. Calculate the remainder when 74 is divided by ((-11)\/(-3) + -2 - k)*-30.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.4 and -59691?\nAnswer: 1874297.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271403, -4705, 0 in descending order.\nAnswer: 271403, 0, -4705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1. Suppose -3*y + 3*s + 8 = -2*s, -s = -2. Let o(q) = -1 - 29*q - 2 + 30*q - 2. What is y*h(a) - o(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -6. Let d be 2 + 3*16\/l. Suppose 5*v = 31 - d. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (72\/45)\/(634\/210 - 3). Let b = -80 + j. Solve -b + 0 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 32 = 5*y - y, -3*n - 16 = 4*y. Let u(i) = i**3 + 8*i**2 - 2*i. Let w be u(n). What is the greatest common divisor of 112 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 + 337. Which is the closest to 0? (a) g (b) -24 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-18)*(s*s**(2\/3))**(12\/13) assuming s is positive.\nAnswer: s**(137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.007109 rounded to two dps?\nAnswer: -16.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 406.992.\nAnswer: 122.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 164?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1029851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2533986 and 2210?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -72, -92, -94, -72, -20?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-39) - (-96)\/(-52). Let q(g) be the first derivative of 1 + g + 1\/2*g**2. What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35079 + 2486*s**2 - 2490*s**2 + 35079 - 2*s.\nAnswer: -4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217951074, 435902143, 653853210, 871804275?\nAnswer: 1089755338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -412 and 215.8.\nAnswer: -196.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, -11, -5, -20 in ascending order.\nAnswer: -20, -11, -5, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - -2*sqrt(76)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209599 = -35*u - 119401. Round u to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27 not equal to -1357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20418.3 and -0.0069?\nAnswer: 20418.3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = -29, -228 = -s - 5*z. Let t = 256 - s. Solve 0 = 2*x + 3*y - 11 - 10, t*y - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v = 24*v + 1097 - 285 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4581, -4551, -4521, -4509, -4533, -4611?\n\"Answer: -3*c**3 + 18*c**2 - 3*c - 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 2, k: 5}. What is prob of sequence tkkz?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-6))\/((-4)\/36). Let v = -12 + r. Solve -9 + 4 = -5*b, -5*a + 3*b = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 2*j**2 - 5*j**2 + (0*j + 5*j - j)*(20*j + 3*j + 0*j) + (2*j + 0 + 0)*(-2*j + 2*j - j).\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let n be y\/110*15\/3. Suppose -2*f + 20 = 3*f. Which is the second smallest value? (a) 1 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 3 - 3)*((-9 + 0 + 3)*(-3 + 4*j + 3) + 0 + 2*j + 0)*(-1 + 1 - 2).\nAnswer: 88*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -a, -b - 2*a + 5 = -4*a. Let g(s) be the third derivative of 7*s**4\/6 - s**3\/6 + 32*s**2. Is g(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222 (base 3) to base 2.\nAnswer: -11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6867 + -6878. Is w bigger than 3\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18817 - 1366 = 10332*w - 10335*w. Is -5814 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - (-2 + -1). Solve -3*v - 3*i = 6, -10 = -b*v + 2*i - 0*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121818 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -58, -91, -128, -169, -214?\n\"Answer: -2*x**2 - 23*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, j: 1, n: 7, t: 2}. Give prob of sequence te.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/15))**14\/(r\/(r*((r**(-3)*r)\/r)\/r))**(-2\/49) assuming r is positive.\nAnswer: r**(9038\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 185*n - 28485. Determine t(100).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -20. Solve 11 = m*r + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 3*h + 2. Let q(r) = -r**3 - 4*r**2 - 2*r + 4. Let m be q(-3). Let w = 3 - m. List the prime factors of p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42271.05 days in milliseconds?\nAnswer: 3652218720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 + 0.189.\nAnswer: 0.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0471*0.254\nAnswer: -0.0119634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2736, 890, 2, 1 in increasing order.\nAnswer: -2736, 1, 2, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.6, 1106, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8136 divided by 8.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - m - 1. Let l(q) = 15*q**3 + 6*q**2 + 6*q + 6. What is l(k) + 6*r(k)?\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 4*u**2 + 2*u + 3. Let n(l) = 7*l**3 + 8*l**2 - 5*l - 6. Give 9*j(d) + 4*n(d).\nAnswer: d**3 - 4*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8668 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90705745?\nAnswer: 5, 13, 283, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from uvqpvvuuvmquuqquqvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r + 5. Suppose 3*d + 5*x + 12 = d, -4*d + 28 = -3*x. Let p(k) = k**2 - k - d*k - 7 + r*k. Give p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*y - 134*g + 22*y wrt y.\nAnswer: g + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203 = -5*t + 2*t + l - 3192, 2*t = -t - l + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1420444222 + 3?\nAnswer: 1420444230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -312651973 and 12451?\nAnswer: 312664424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-4)\/50)\/((-42)\/240))\/((-492)\/(-3690)). What is p in -4\/7*p**2 + c - 4\/7*p = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.59 or 25796?\nAnswer: 2.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqztkkts. What is prob of picking 1 q, 1 k, and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(-26))\/n*n*n)\/n)\/(n\/(n**(-15)\/n)*n*n)*n**(2\/5)*n**(-1) assuming n is positive.\nAnswer: n**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - i = 5 - 7, -4*i = z - 8. Which is the smallest value? (a) -2 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 2. What is the tens digit of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -705 + 733. Suppose -2*t = -5*x, 4*x + 2*t - 10 + 28 = 0. Let d be (-894)\/(-42) - x\/(-7). What is the greatest common divisor of f and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3)*(-45)\/30)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19259 + 38498. Let v = 52761 + w. Round v to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**4 - 3*f**3 - 5*f**2 - 3*f + 2. Let g(j) = -2*j**4 - 6*j**3 - 11*j**2 - 7*j + 5. Let c(t) = 2*g(t) - 5*r(t). Suppose c(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 2, b: 1, g: 1}. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42.4 * -1\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 + 2 = 2*y. Suppose 3*u = -4*r + y, -5*u + 2*r + 145 = 6*r. Suppose g = -2*g + u. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 2. What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-770)\/2695 + 1 + 61*2\/(-210). What is the closest to -1\/15 in -11\/3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25026 is divided by 24972?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49353651.\nAnswer: 3, 769, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101121311 + -2?\nAnswer: 1101121303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 - 84*w + 1605. Let a(x) = -4*x. Calculate a(d(o)).\nAnswer: 20*o**2 + 336*o - 6420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 386*a = 384*a + 3, -2*v + 3*a - 2 = 0. Solve -7*h + 16 = -v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109684 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 660.6003 millilitres?\nAnswer: 0.6606003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 6.4. Let t = w + -0.8. Which is the third biggest value? (a) t (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*p = -36, k = -4*p + 4 - 0. Let c be 10\/3 + 4\/6. What is the highest common factor of k and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484751 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3 + 14)*(3*g + 0*g - 2*g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6 (b) 0 (c) -0.5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*g + 81 = 0, -2*g - 24 - 67 = -3*u. Let i(x) = 7*x + 1. Let w be i(2). Suppose -w = -4*h + u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.41 - 0.01. Let u(m) = m**3 + 5*m**2 - 6*m + 2. Let h be u(-7). Let y be 0 + 3\/(h\/(-4)). Which is the nearest to 2\/5? (a) -3\/2 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6929 or 6434?\nAnswer: 6929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -35. Suppose 2*r + 232 = 3*u + u, 0 = 3*r - 3*u + 360. Let k = w - r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*((3 - 3 + 3*z)*(6 - 1 - 3) - 5 + 2*z + 5 + 1 - z + 3*z + 0*z).\nAnswer: -10*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -10. Suppose 0 = -m + 3*j + 1, 3*j - l = -6*m + 5*m. What is the remainder when 6 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 - 95*j + 1. Calculate g(-10).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(-1*(-4)\/(-888)). Let p = b + 115. Suppose -20 = -p*h + 3*h. Solve -4*a - 14 = 2*z + a, 5*a = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w - 538*w + 159*w - 446*w + 2.\nAnswer: -808*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 6*a - 6. Let d be f(5). Let h be d + (-1)\/((-1)\/(-3)). Round h to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/9 - 49095676*j\/3 + 301298175237122 = 0.\nAnswer: 36821757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001558 rounded to 7 dps?\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42295513 + -5?\nAnswer: -42295518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 46 + -17 - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14466 < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 5) to base 12.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192395 and 9240.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160999043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485291, 485291, 485349, 485495, 485759, 486171, 486761?\nAnswer: 487559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 9) to base 3.\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -41*s**7\/70 + s**4\/12 + 115*s**3\/3 + 13*s**2 + 10. Differentiate x(r) wrt r.\nAnswer: -492*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdzzdzddddzz. Give prob of picking 2 z and 2 d.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - u - 2 - 6 - 5*u - u + 5*u + (0 - 3 + 5)*(-2*u - u + u) + 3*u + u - 6*u.\nAnswer: -8*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2345380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (-1 + sqrt(1573)*-2)) + -5 + -4)**2 - ((-3*sqrt(1573)*1 + 3)**2 + -1).\nAnswer: -330*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35171 + -10382. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1, 2\/583, -10.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 3*y - y**2 - 4 - 9*y + 0*y**2. Let z be j(-10). Let b(i) = i**3 - 6*i**2 + 2. Calculate b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:51 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (709*v - 290*v + 104*v)*(-7 + 7 + 5*v) + (2*v + 3 - 3)*(-2*v + 0*v + v) + 4*v**2 + 0 - 6*v**2 + 2 in the form m + z*v + c*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8916 = 180*m + 442*m + 121*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + -2 + -4) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, 553.\nAnswer: -15, -2, 553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 26842 and 26803 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1. Let w(y) = -y + 1. Let l(k) = -t(k) + w(k). Let u(a) = 19*a**2 - 15*a**2 + 4*a**2. Calculate u(l(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-45) - 242\/693.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = -14*s - 5*t + 31, 36 - 20 = -2*s + 3*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 165.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(85) + (sqrt(85) - (sqrt(85)*2*-6 + sqrt(85) + sqrt(85))))*3)\/(-6*(sqrt(75)\/sqrt(3))\/sqrt(5)) + -2).\nAnswer: -36*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195008 = -y - 195021 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {y: 9, c: 8, s: 1, d: 1, o: 1}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33*((-174)\/18 + -2). Let a = 805 + p. Suppose 6*f = -f + a. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(872\/545*35\/4)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -7*q + 3*q - 7, 3*n - 5 = q. Suppose 0 = -0*o + o + n. Let v = -2312 + 2311.6. Which is the closest to o? (a) -3 (b) -3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-2))\/(399\/228). Solve -o = -3*j + 15 - 5, 5*o = 2*j + d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1458))\/(sqrt(225)*1) + 5 - (sqrt(8) - (sqrt(800) - (sqrt(800) + -1)**2) - 3*sqrt(6)\/(sqrt(3)*-2)).\nAnswer: -796 + 583*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/(c**(2\/7)*c)*c)))**39 assuming c is positive.\nAnswer: c**(468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 268 = 0. Suppose 0*w + 3*w = -5*d + 159, 0 = 4*d - w - c. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3130 = -2*u, t = -574*u + 571*u + 4712. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 74 - 74 - 10*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*8*(-235)\/(-141).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 2*n**2 - 5*n + 3. What is h(3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 10:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qztq when four letters picked without replacement from {t: 2, u: 5, q: 6, e: 3, i: 1, z: 2}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -3\/5*p**5 + 0 + 0*p**4 + 18*p + 9\/2*p**2 + 0*p**3. Differentiate v(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/5 + b**3\/6 + 5*b. What is the second derivative of f(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -979*s**2 + s + 43788 wrt s?\nAnswer: -1958*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30001 + 0?\nAnswer: 30001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 4*v - 1 + 1 - 3. Determine p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*t**2\/2 - 2819429*t - 1879612.\nAnswer: -(3*t + 2)*(11*t + 1879612)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 0.5872227\nAnswer: -0.6272227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 941.\nAnswer: 13174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470690714?\nAnswer: 2, 3, 245115119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-4*-2*sqrt(3) + sqrt(3)).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(2\/3))*(((n*n\/n**(-2\/23))\/n*n)\/n)\/n*(n**(1\/4))**(-9\/8))\/((n**0\/(n*n*n\/n**(1\/4)))\/(n**1)**(-29)) assuming n is positive.\nAnswer: n**(-54709\/2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 4*r + 36, -5*b - 7 = 3*r. What is the tens digit of (-2337)\/r - (16\/6)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:54 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 199. Suppose 0 = 5*h - 0*h + 10, l*r - 4*h = 20. Factor 16\/3 - 40\/3*n - 10\/3*n**r + 11*n**2 + 1\/3*n**4.\nAnswer: (n - 4)**2*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 821783.\nAnswer: 4\/821783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 75844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99.4 + -111. Let x = -17.4 + 19. Let r = x - f. What is r rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/7 at most as big as 8\/1163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -283, -271, -245, -199, -127, -23, 119?\n\"Answer: s**3 + s**2 + 2*s - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -2831714\nAnswer: 31\/2831714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7925, 8019, 8115, 8213?\nAnswer: 8313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 + 3*o**4\/4 - 7*o**3\/6 - 5*o**2\/2 - 4*o - 6. Let y be a(8). Solve -2 = y*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16947.\nAnswer: 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhw when three letters picked without replacement from {d: 3, h: 3, z: 2, q: 1, w: 6, b: 4}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 642143239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637, -641, -641, -637, -629, -617?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 4*c + 2. Suppose -j - 2 = 2. Let w be v(j). What is the highest common divisor of 22 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 = -7. Let z be 2 - 3\/(9\/p). Let q(j) = 2*j + 2. Determine q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987877765?\nAnswer: 5, 7, 4801, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/143 and 23\/77.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 98777016 times 2\nAnswer: 197554032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 5. Let u be s(-4). Suppose 0 = 4*q + u - 5. Is (-256)\/(-2) - q\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let o(a) be the first derivative of -24 + 0*a + 0*a**2 + 19\/3*a**3. What is z(o(x))?\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:06 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 45 = 2*s, -s + 22 = -5*y + 3. Suppose 0 = -2*o - 4*x + s, -2*o + 21 = -0*o + x. Calculate the remainder when 18 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83609 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 take away 0.76799?\nAnswer: 1097.23201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(72\/16*(-32)\/(-8)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 1\/4, 2, 37902\/7, -1 in ascending order.\nAnswer: -1, -2\/17, 1\/4, 2, 37902\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttgtgtgtttggggtt. What is prob of sequence tttt?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 4. Let q(n) = -21*n + 15. Give -9*i(m) - 2*q(m).\nAnswer: -3*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/30 - (53\/5 + 0). Let x = r + 35. What is the remainder when x is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -2\/719, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.04, -2\/19, 23.21, 2, 0.8 in increasing order.\nAnswer: -2\/19, 0, 0.04, 0.8, 2, 23.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0 - 1\/3*b**3 + 1\/70*b**7 + 0*b**6 + 0*b - 2*b**2 + 0*b**5 + 0*b**4. Find the first derivative of z(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 758648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*q - 1042 + 22 = 0, q = -5. Which is smaller: n or 218?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose -2*z = 2*c - 30, -m*c + 0*c = 3*z - 37. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, -630 in ascending order.\nAnswer: -630, -42, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, 8, 4, -1 in increasing order.\nAnswer: -1, 0, 2\/5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 50*f**4\/3 - 7*f**3\/6 + 3878*f**2 - 5091*f. What is the first derivative of z(b) wrt b?\nAnswer: 400*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047*g - 1244*g - 574 - 431 - 11800 = 0 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79.8 and -2.8?\nAnswer: -223.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-3 + 2*c + 3) - 3*c - c - 6*c)*(6*c - 2*c + c).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 82*c - 33*c - 47*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194310 divided by -6.\nAnswer: -32385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -4*q - 1 + 5, 4*y - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a**2 + 5*a - 398*a**2 + 208*a**2 - 4*a.\nAnswer: 15*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595649 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -11*p - 7700. Calculate the common denominator of 17\/(-68) - (1 - p\/(-356)) and -13\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32150 and 6430?\nAnswer: 32150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -51. Let l = i + 35. Suppose 36 = 2*k + l. Solve 0 = -6*g + 3*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l)*(12*l**3 - 11*l**3 + 29*l**3 + (-l + 0*l + 3*l)*(0*l**2 - l**2 + 2*l**2) - 2*l**3 - l**3 + l**3).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 5*q**2 - 2*q**2 + 2*q**2 - 6*q**2 + 2*q**2 - 2*q**2 - 2 + 2 + (2*q + 0*q - q)*(5*q - 5*q + q) + (5*q + 9 - 9)*(q + q - 3*q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n*n**(-4)\/n*n)\/n**(-5))**46)**(3\/40) assuming n is positive.\nAnswer: n**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 562194?\nAnswer: 10681686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 185. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, m: 1, h: 4, f: 2}. What is prob of picking 1 x and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let p(s) = -2*s**3 - 3*s**2 + 4*s + 1. Let g be p(-3). Let c(l) = -l + l - g*l**2 + 12*l**2. Calculate c(r(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 117 = 3*t, -4*z - 319*t + 62 = -317*t for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 - 336*c**4 - 2528*c**3 - 7424*c**2 - 9792*c - 4864.\nAnswer: -4*(c + 2)**4*(c + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 5. Let a = 15 + 0. Let l be a\/(-28) - 2\/(-7). Put l, -2, h in descending order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose 2*h - 10 = -g*h. Find the second derivative of -2*x**5 + 2*x**h - x**5 + x wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:04 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*19\/(-152)*(-160)\/(-72).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 331. Let f(i) = i + 9. Let v be f(-2). Suppose -v*h = -9*h. Is d(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + h)*(h**2 + h**2 - h**2) + 3*h**3 - 2*h**3 + 2*h**3 + (0*h + h + 3*h)*(-4 + 4 + 2*h**2) to z*h + c*h**2 + m + w*h**3 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1040 + -87501?\nAnswer: -86481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((29 - 9)\/(-5))\/(-4))\/((-3)\/15). Let h(p) = 8*p - 12. Give h(m).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-2 - 2) - (-220 + 301)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 17*c - 1. What is n(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 15 - 6)*(2 - f - f - 9)*(3*f - f - f).\nAnswer: 30*f**2 + 105*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 38431440\nAnswer: 192157200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (-9 - (-2 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/4 + 2*a**3 - 8*a. Find the second derivative of o(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 32. Let b be l\/(-12) + 285\/(-18) + -1. Let a be b*3\/54 - (-2 + 1). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 6*g - 10. Let t be x(7). Let q = -1 - -1.1. Let i be -1*(16\/(-18) - -1). Which is the nearest to q? (a) i (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 547 + (5 - (-6 - -14)). Calculate the remainder when 269 is divided by (0 + o)\/8 + 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 0 + 0 - 14*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3) + 860\/(-90)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 30 = -18*k. Let d = 34 - k. Suppose 3*a + d*y = 33 + 124, -2*y = -3*a + 187. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -2 - 1\/12*c**3 + 1\/40*c**5 - 11*c + 1\/4*c**4 - 3\/2*c**2. Factor h(p).\nAnswer: (p - 1)*(p + 1)*(p + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30578408 - 55400189. Let p = 2821781 + b. What is p rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15250130 rounded to the nearest one hundred thousand?\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*b + 144 = -7*u, 3*b - 40 = u. Let y(d) = -d + 16. What is the remainder when 298 is divided by y(u)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2106854 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*(-2 + 2). Suppose z = 3*h - 319 + 31. What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -2167*c**4\/24 + 336*c**3 - 527*c**2. What is the derivative of u(y) wrt y?\nAnswer: -2167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 13*m - 9*m - 73, 227 = 3*z + 4*m. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-9)*-9*3\/(-36)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 171*h - 22. Let n(z) = 200*z - 18. Let w(k) = -7*a(k) + 6*n(k). Give w(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:06 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -42. Which is the nearest to 0.2? (a) -2\/15 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 48*x + 201 wrt x?\nAnswer: -4*x**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 32. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7040877 - 26480877. What is g rounded to the nearest 100000?\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132702 and 74157.\nAnswer: 2521338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:26 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743897 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4428.64\nAnswer: -442.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -21c726?\nAnswer: -21c722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -20986671 to the nearest 100000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1024958*-269.\nAnswer: 275713702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139816.\nAnswer: 2, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Let o = 0 + 0.2. Let q = 0.1 - o. Sort q, 0, s in ascending order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 2946389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqq when three letters picked without replacement from {o: 4, q: 4, d: 3, h: 3, m: 4, n: 2}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - u = 0, y + 3*u + 2 = u. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -8457550.\nAnswer: -2537265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, u: 5}. What is prob of picking 2 u and 2 k?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 12*y + 4*y)*(-5 + 6 + 1) + 75 - 93*y - 75 + (-3 + 2 + 0)*(4*y - 2*y - y).\nAnswer: -112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, y: 5, o: 1, c: 3}. Give prob of sequence fc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/1722023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -60861 + -1218?\nAnswer: -62079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24680 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.48?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let j(k) be the second derivative of k**3\/3 - 4*k. Give j(s(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 6*l + 76. Let s be c(-6). Solve -3 = -s*i + q, -2*i + 0*q + 4*q - 16 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -17.\nAnswer: -26\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebw when four letters picked without replacement from wswwjjjwjejesbspsbew.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - n - 3. What is o(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 8:03 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offoobff. Give prob of sequence foo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 3*g**2 + 1 - 3 + 0*g + 2*g - g**4 in the form t*g**2 + w*g**3 + f*g**4 + x*g + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, 0.1, 2\/9, -10\/3, 0, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)\/((x**(2\/5)*x)\/x))\/(x*x\/((x\/x**(-1\/27))\/x*x)*x*x*x\/x**(1\/4)))**(-46) assuming x is positive.\nAnswer: x**(162863\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-50)*8\/12*(-2)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(13\/(-26)*(-136)\/4)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 + 5*a. Let w be u(-4). Suppose 4*x = -4*m - w, 2*x + m + 1 + 0 = 0. What is the units digit of ((-1)\/x)\/((-2)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 8*a. Let m(v) = 46*v**2 + 12*v + 6. Let n(w) = -15*w**2 - w - 2. Let y(r) = m(r) + 3*n(r). Give 6*s(p) - 5*y(p).\nAnswer: p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25824511?\nAnswer: 25824511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 698 + -674. Suppose -v*y + 13092 = -5484. List the prime factors of y.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb + -15b?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58735231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 3*x + 0*x + 2 - 23*x + 5*x. Let b(y) = 12*y. What is w(b(f))?\nAnswer: -168*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 74981239?\nAnswer: 599849912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -62. Let j(l) = 9*l - 4*l + 6*l. Let f be j(z). Solve f = 2*n - 3*x + 2*x, n - x = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1956258 and 176497944.\nAnswer: 1588481496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d - 51*d - 44*d - 73*d to w*d + n and give w.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/60 + s**4\/4 + s**3\/2 - 19*s**2 + 32*s. What is t(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*q + 2*n, 2*q - 5 = 4*n - 19. Let j be (0 - 3)\/(q\/4). Let t = j + -4. Which is bigger: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u + 2*y - 4150 = 37*u, 3322 = 4*u + 2*y. What is the highest common factor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(184\/96) - -5. Let g(c) = 3*c + 1. Let d = -230 - -232. Let x(k) = 8*k + 3. What is d*x(o) + h*g(o)?\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/((-64)\/(-10)). Factor -1\/4*i**2 + 1\/4*i + 1\/4 - j*i**3.\nAnswer: -(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 130, 98, 46, -32?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -232*g**2 - 17862*g + 60. Calculate p(-77).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 3*v**2 + 4*v + 4. Let y be n(4). Suppose y*k - k - 18 = 0. Let q be (-3)\/(-12)*k*2. Solve 5*x + u = 6*u + 5, -9 = 3*x + q*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(2*k + 3 - 3).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 725.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 114 = -5*r. Calculate the greatest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/6 + 3*t**4\/8 + 5*t**3\/6 - 20*t**2. List the prime factors of p(-3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:11 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 282860309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11315449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 1. Let b(p) = p**2 - 6*p - 8. Suppose 4*g = k - 3*k - 34, g - 3*k = -26. Let f = g - -18. Let u be b(f). What is t(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110000011111 + -101?\nAnswer: -10101110000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:41 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - i + 4, -5*c = -c + 4*i. Solve 180*r + r**4 - 2*r**c - 180*r + 1 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9274 divided by -6?\nAnswer: 4637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076661 is divided by 349.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -37*k**2 + 3. Let i(n) = 4*n. Determine g(i(v)).\nAnswer: -592*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((8\/20)\/(-2))\/(4\/(-935)). Let i = -859\/20 + k. Do i and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 11, -3\/4, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-45)*(1 - (-12)\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i*i**(-7)*(i**(1\/12)*i*i)\/i*i**0)\/((i**(2\/5))**42*(i**5\/i)\/((i**(1\/7)*i*i)\/i)) assuming i is positive.\nAnswer: i**(-10531\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005383 to 4 decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 0.2 (b) -0.5 (c) -1\/21 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29063 - 14359 = 6*c + 5*c + 13483 for c.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709650 divided by 2075.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 5*h + 9. Let v(t) = -t**2 - t + 1. Let r(k) = -6*v(k) + w(k). Let f = -25 - -36. What is the least common multiple of f and r(-4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:27 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.4105 rounded to 0 decimal places?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 11\/(44\/(-60)). Let j(m) = -72*m + 73. Is j(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**8\/560 + q**7\/280 - q**6\/120 - q**5\/40 + 5*q**3\/6 - 4*q. Let u(i) be the second derivative of b(i). Factor u(j).\nAnswer: 3*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0666 * -16184.1.\nAnswer: 1077.86106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - 52. What is the tens digit of 6\/4 - y\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:07 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -507 - e2cf?\nAnswer: -e7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/13 less than or equal to -5013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 23. Calculate k(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 5, a: 4, u: 1, g: 5, w: 1}?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 12 = 18*i - 552 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9126*h**2 - 38966*h + 1 wrt h?\nAnswer: -18252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 10. Let t be p(-7). Let o be 39\/6 + (-2)\/t. Suppose 2*z - o*z = -44. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/162141 and 59\/158712876.\nAnswer: 1110990132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114*10\/180 + ((-4)\/(-6) - 2). Suppose -2*r + 12 = 2*r. Solve -l*m = -4*k - 9, 0 = r*k - 4*m + m + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yzzbiy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 415, 1487, 3203, 5563, 8567, 12215?\n\"Answer: 322*a**2 + 106*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -12*p + 192. Let b be ((-10)\/8)\/((-6)\/p). Suppose -3*q = b*i + 20, 4*i + 4 = 4*q - 12. Solve 0 = -q*y + 5*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 213, 398, 583?\n\"Answer: 185*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(36))\/sqrt(4)*-5 + (2 + sqrt(588))*6.\nAnswer: 12 + 163*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683 = 6*b + 397. Let r = b + 173. Let s(m) = m - 6. Let p(i) be the third derivative of -i**3\/3 - 2*i**2. What is r*p(z) + 2*s(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666259919 to the power of 1\/3, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/3 (b) -106\/381 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-52)\/(-8) + -8)\/(1\/(-10)). Let v be 516\/(-40)*-82 + 3\/r. Calculate the highest common divisor of v and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b + 6. Let m be f(0). Let x be (-4)\/m - 28\/(-6). What is i in 8 - 4*i**3 - 16*i + 1\/2*i**x + 12*i**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggugggg. What is prob of sequence gg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 23 = -4*q, -2*t - 5*q - 16 - 3 = 0. Let b be 1\/t*3*3. Solve -5*c = -4*p + 30, -7 = -b*p + 2*c - 6*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*l*n*z - 5837*b*l - 11*b*z**2 + 2*b + 2*l*n*z**2 - 3*n wrt z?\nAnswer: b*l*n - 22*b*z + 4*l*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 398*p**5 - 3795*p**4 - p**3 + 5*p**2 + 31*p - 100421 wrt p?\nAnswer: 23880*p**2 - 91080*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 4)*(-2)\/(-6). Let c be 4\/2 + i + 1. Suppose -r = -2*g - 0*r + 4599995, r = -c*g + 11500005. What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*((19 - 22) + 0))\/(4\/16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1\/(4\/308) - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560196)\/148770 - 19\/(-5)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 - 264*b - 1. Let a be x(-66). Which is smaller: -7\/18 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-5*17\/255*-147.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 243561, 1 in increasing order.\nAnswer: -3, -2, 1, 4, 243561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(2*t**2 - 123 + 123 + 5*t) to v*t**2 + c + l*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*h - 9, -2*b - 3*b - h = 31. Let f(o) = o**3 + 7*o**2 - 7*o - 18. What is f(b)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 24. Is (0 + y)\/(2\/998) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 2:30 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 404, 402, 412, 446, 516, 634, 812, 1062?\n\"Answer: 2*u**3 - 6*u**2 + 2*u + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 453, 489, -1 in increasing order.\nAnswer: -5, -1, 453, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = v + 15, -4*v + 1 - 45 = 4*x. Let n(r) = r + 17. Let q be n(v). What is the third derivative of -z**5 + z**5 - 9*z**5 + q*z**2 wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 50*z**3 - 602*z**2 + 22*z + 26. Let x be d(12). Let r = 0.05 + -0.45. Which is the nearest to x? (a) -0.1 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7496, -7497, -7498, -7499, -7500, -7501?\nAnswer: -7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-17)\/(-10))*39\/(22230\/57)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*b**3 + 4)*(13 + 10 + b - 22).\nAnswer: 2*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-290)\/450 + 2\/10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55.823283*0.2\nAnswer: 11.1646566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -654458?\nAnswer: -5\/327229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffif when four letters picked without replacement from inbiiifniiibshiffn?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/3 + 221*p**4 - 36520*p**3 - 110224*p**2\/3 = 0.\nAnswer: -1, 0, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 554, 959, 1366, 1775, 2186, 2599?\n\"Answer: l**2 + 402*l + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/510 + (-2074)\/39525*5?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((2\/(-3))\/(-1)). Suppose 17*l = 20*l - 117. Let f be (l\/(-26))\/(h\/16). Solve -4*i = -3*p + 10 + 21, p - f*i - 21 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 18, 37, 60?\n\"Answer: 2*m**2 + 9*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121222100 + 2?\nAnswer: -1121222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3\/3 + 242*u**2\/3 - 7198*u\/3 - 7442\/3 = 0.\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:30 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129333517 - 8.\nAnswer: 129333509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-204) + 17\/((-1734)\/(-828)). Solve -15*z = -12*z - r + x, -z + 5*r = 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34418465.\nAnswer: 5, 23, 53, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)*3 - (-26)\/8. Which is greater: y or 5\/114?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*y + 4*y. Let t be 46\/(-6) + 2\/(-6). Let n = t + y. Let w(c) = -c**2 + 4*c - 2. Give w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16785 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03356 from -8586.\nAnswer: -8586.03356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:13 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 33, 17484, 0 in decreasing order.\nAnswer: 17484, 33, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-3))\/(-2)*-60*(-29)\/(-12760)?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.2694 + -8.943. What is c rounded to 2 decimal places?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21974*d**4*v - 5*d*v - 12*d + 127 wrt d?\nAnswer: 263688*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 75*c - 586. Let h be z(8). Solve 10*u + h*u = -96 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 9. Calculate the remainder when 49 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1001\/(-1287)*(4 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 10. Let h be s(-9). Let x = -14 + h. Let z(d) = -2*d**3 - d**3 - x + 2*d**3. Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 4*n + n. Let y(m) = -5*m - 1. Suppose -z + 48 = 3*z. Let d be (-27)\/(-18)*z\/(-2). What is d*j(u) - 2*y(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1735 - 982. Let o = -751 + a. Factor 4\/5 + 2\/5*s - 2\/5*s**o.\nAnswer: -2*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 25*l**2 + 30*l - 144. Let y be r(24). Suppose 25*q - 12947 - 2853 = y. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/15529584 and -117\/10353056.\nAnswer: 31059168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190407600 divided by -3600.\nAnswer: -52891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2095*x - 718*x + 7106*x)*(-1 + 4 - 2)*(1 - 2 + 3).\nAnswer: 8586*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z**2 + 4*z + 2. Let a be l(-3). Let k be (1*-1)\/(2\/a). Let q = k + 9. Which is smaller: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 124*n**2 + 667336*n + 495052 = 0?\nAnswer: -5381, -23\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 10919519.456?\nAnswer: -10919519.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 37*q**4\/4 - 20*q**3 + q. What is the second derivative of n(r) wrt r?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2488 and 13373.\nAnswer: 106984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/4, -2\/641, -1\/3, -4 in descending order.\nAnswer: -2\/641, -1\/3, -4, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*(-9)\/12)\/(12\/96). Suppose o - 3*a = 4, 3*o - 4*a - u = -0. Solve -8*x = o + 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmzmmmmzz. Give prob of sequence zmzm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7477 - 14749. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.636 - 36.82833. What is o rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 1, m: 8, r: 5}. What is prob of sequence glgm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -17?\nAnswer: -105\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6196.000006073 - -6196. Round j to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -289, -325, -395, -511, -685, -929, -1255?\nAnswer: -1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:31 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/11 + 152794*d**2 - 1680748*d\/11 - 10084416\/11 = 0.\nAnswer: -840368, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let c(s) = 510 - 5*s - 510. What is c(m(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 713*k + 2836. Determine r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q + 106*q**2 - 26*q**2 - 28*q - 31*q + 95*q.\nAnswer: 80*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 532332 and 1272?\nAnswer: 1064664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*11 + (0 - -1). Suppose 17 = 5*k - 33. Does 3 divide (-74)\/g + (-4)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1687 = 5*w - j, -j + 6*j + 1675 = 5*w. Solve 4*h + 326 - w = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let u(j) = -3*j + 2. Let a = -610 + 609. Let f(x) = -1. Let y(z) = a*u(z) + 5*f(z). Determine 14*g(h) - 4*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -11*k**2\/2 - 4*k - 15. What is the units digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-1)\/(-9)*3. Suppose -2*r + 6*f + i = 2*f, f + 3 = -2*r. Let g be (-1 - 14\/(-30))*153\/102. Is r equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/3692 and -151\/12.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 42. Let g = y - -36. Calculate the highest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -b - 2*q - 8, 2*b + 5*q + 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 5 + 5.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4404.861 millilitres?\nAnswer: 4.404861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4923966?\nAnswer: 2, 3, 109, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 2, k: 1, h: 6, s: 2}. What is prob of sequence sh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)\/n**(2\/5))\/(n**(-1)\/n)**17 assuming n is positive.\nAnswer: n**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141253 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 37, 57, 75?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-12)\/(-98)*63 + -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2921*a**3*r - 6401*a**3 wrt r.\nAnswer: -2921*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17017\/37 at most -459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 1\/2*n**2 + 1\/12*n**4 - 1\/3*n**3 + 5*n + 0. Suppose b(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26696 + -347375\/13. Let n = 25 + o. Let w be (-6 - 0)*(-2)\/(-28). Sort n, w, 1 in descending order.\nAnswer: 1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) + (-4)\/20. Suppose v = -6*z + 4*z - 2. What is the second smallest value in z, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r*v**3 - 4*r*v**2 - 178*r + v**4 + v wrt v?\nAnswer: 12*r*v - 8*r + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*(b\/(b*b*b**(6\/7)))\/b*b*b**10*b*(b**(-2\/7)*b)\/b)**(-36) assuming b is positive.\nAnswer: b**(-720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 51. Let k be b(11). Let l be 24\/k - 771\/(-21). Does 38 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 520*d**2 - 5*d + 2. Suppose -5*t - 23 = -3*g, 0 = -g + 5*t + 22 - 1. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 141*y - 144*y - 9 + 33, -21*a + 12 = -3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 + 11110736*v**2 = 0.\nAnswer: 0, 5555368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = -2*n, n = -2*r + 42 - 36 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -33*l**2. Let n(z) = -2*z. Calculate n(q(s)).\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8448*p**2 + 1058*p?\nAnswer: -16896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 49*x**3 + 18*x + 11. Let p(h) = 25*h**3 + 8*h + 5. Let w(g) = 9*p(g) - 4*t(g). What is w(-1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404056?\nAnswer: 2, 607, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7) + (-1 - 55\/(-35)). Suppose z = -17*v + 12*v + 830. What are the prime factors of v?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 9*y**2 + 1. Let k be w(9). Let q be (-1)\/(3*k\/9). Is -2 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 1 (b) 0 (c) -0.2 (d) 241 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 1, y: 1, u: 1}. What is prob of picking 1 y, 1 u, 1 h, and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w**2 - 64*w**2 + 18*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((-2 - -15) + -7 + (-2 - 6))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*p + 52*p + 111*p + (0 - 1 - 1)*(-2*p - p + 5*p) + 1 - 1 + 2*p as a*p + l and give a.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 24*q**3 + 51*q**2 - 30*q.\nAnswer: 3*q*(q - 5)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rzzuhyr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20248 + -17?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 24. What is r(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**4 - 10512*f**2 - 719*f + 212385115 wrt f?\nAnswer: -4*f**3 - 21024*f - 719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694 - 689 = -5*r, -k - 43 = 3*r for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8aba82 + -5?\nAnswer: -8aba87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 693498127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 131*i + 33.\nAnswer: -(i + 33)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 38 + 35)*(2 + 0 - 3)*(2*t + 0*t - t).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = -18*m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = 8. Suppose 1044 = f*w + 424. Calculate the remainder when 9 is divided by w\/75 - (-2)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4*w**2 - 35925*v**3*w**2 - 3*v*w**2 + 169*w**2 + 3 wrt v.\nAnswer: -36*v**2*w**2 - 215550*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1786837, 1786855, 1786877, 1786903, 1786933, 1786967?\nAnswer: 1787005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + f**2\/2 + 2*f - 18. Suppose -5*d - 14 = 11. What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*m + 3839992 = 122*m + 342262. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3777564 millennia to months.\nAnswer: 4533.0768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304 - -302) + -1 + -5 + 21 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2360857608, -2360857606, -2360857604, -2360857602, -2360857600?\nAnswer: -2360857598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -52. Let o = t - 13.9. What is the closest to o in -2, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*47\/((-1974)\/72).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = t - 3*f, -t - 4*t + 853 = f. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 736?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 55*q + 682. Let g be k(-12). Solve -18 = -d + n - g, 0 = 2*d - n + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2548de - 162?\nAnswer: -254a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*h - 2*b - 9, 5*h = -2*b + 6. Suppose -5*a + 10 = -h. What are the prime factors of (-8)\/(3 - 2 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 81?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 23.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -55*v**4\/4 - v**3\/3 - 9*v**2 - 86. Find the second derivative of j(x) wrt x.\nAnswer: -330*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)*(1 + (-5)\/5). Suppose 3*i = -2*i. Suppose i = t - x*t. Which is smaller: t or 5\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = -b - 3*k, 5*k = 2*b. What is the smallest common multiple of 4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2964*f + 40 = 2956*f. Sort -6, 15, f, -3 in increasing order.\nAnswer: -6, f, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 1017, 1020?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -337*m + 271*m - 1056 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 26*v**2 - 5*v + 5. Let h(q) = -9*q**2 + 2*q - 2. Calculate -8*h(p) - 3*w(p).\nAnswer: -6*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.93661864 - -2.06338032. Let s = m - 31. What is s rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Suppose m = 4*m - i*f - 17, -2*f + 11 = 5*m. Suppose b + 80 = 4*x + 2*b, 2*b = m*x - 71. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let m(b) = 11*b - 3. What is 6*j(f) - 2*m(f)?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 7*i - 22. Suppose p + 2*v - 16 = 0, -3*p = 5*v - 4 - 40. What is the tens digit of n(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 4*c. Solve 0 = -5*w - c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2634*a + 178301 = 444335 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 105187, -4, -2 in ascending order.\nAnswer: -4, -2, -1, 105187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 113680*864\nAnswer: 98219520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 373.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1\/h)\/h)**(2\/49))**(-2)\/((h**(-1)*h)**(11\/2))**3 assuming h is positive.\nAnswer: h**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3392 * -3.\nAnswer: -10176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/910*13)\/(1\/40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 159, 318, 477, 636, 795?\n\"Answer: 159*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - 3\/2*(-231)\/567 and (-3)\/108*-13*-10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) - (-1 + sqrt(1300)))*1)**2*6 + (-1*(sqrt(65) + sqrt(65) + -2*sqrt(65) + sqrt(65)) - sqrt(65))\/(sqrt(45)*-5))*-2.\nAnswer: -12 - 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28335800\/325 - (-9)\/(-117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9248526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 23, 40 in decreasing order.\nAnswer: 40, 23, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + u + 1. Let s be b(2). Let d = s - 39. Let g = d + 37. Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 2. Suppose 5*y + 3 = z*y. Put 0, y, -2 in decreasing order.\nAnswer: 0, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -462\/5. Which is smaller: k or 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2050007565702.39999768 + -2050011382286. Let s = 3816584 + y. Let u = s - 0.4. What is u rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5\/7 - 171*c**4\/7 - 2376*c**3\/7 - 7452*c**2\/7.\nAnswer: 3*c**2*(c - 69)*(c + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -1\/6 (b) -23 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) + 92\/12. Suppose 4*v + 0*v - w = 0. Solve -7 - 8 = -z - v*j, -j = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 350 + -347.11. Let z = y - -0.11. What is the closest to 1 in 0, z, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*a = 4*x + 39550, -3*x + 23746 = -5*a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**8\/3 + 49*i**5\/20 - 15*i**2 + 4. Find the third derivative of f(m) wrt m.\nAnswer: 6720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - -8 - (-31 + 16 + -29 + 29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1361 + -631. Find the common denominator of ((-6)\/(-60))\/((-4)\/n) and 107\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47109345 and -0.5?\nAnswer: 47109344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0, -5, -1.\nAnswer: -7, -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108397380 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41189253 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45898298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 17845 + 17845.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -18. Let r be w\/(-20)*(4 - -1). What are the prime factors of 17 + r\/(8\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = 4*m, 5*m - 10 = 10*m. Suppose 0 = -v*g + 2*o + 10, -6*g + 8*g - 2*o = 8. Solve -2*y - 1 = -g*c - 3, -y = 5*c + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/15 - t**4\/3 - 2*t**3\/3 - 7*t**2. Factor q(g).\nAnswer: -4*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31102 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.45, 3, 2, -1\/28, 7 in descending order.\nAnswer: 7, 3, 2, -1\/28, -1.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(128))\/sqrt(4) - (-3 + (sqrt(8) - sqrt(200))\/sqrt(4))) + -4.\nAnswer: -4*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(162) + sqrt(162)*-1 - sqrt(2)).\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*g - 79112 + 11369 = -3353*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/73 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37762 is divided by 6288?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 142*k - 669. What is the remainder when u(19) is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-7)*5495\/(-314). Calculate the greatest common factor of 32 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, g: 3, u: 10, r: 1, p: 1}. Give prob of sequence rq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*a**2 + 6399 - 6399)*(2 - 6 + 2) + 4*a**2 + 0*a**2 - 3*a**2 + 2*a**2 - a**2 + 0*a**2.\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 18 = -22. Let u = 17 + s. Sort u, 4, 5, 2 in decreasing order.\nAnswer: 5, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Let z(d) = 15523 + 10*d - 31077 + 15532. Let o be z(q). What is the greatest common divisor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.088 + -4.912. Which is the nearest to 3? (a) 2\/5 (b) y (c) 1\/10 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 57, 124, 217, 336, 481?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11554107*a**2*h + 184185*a**2 - a*h - 35*a wrt h?\nAnswer: 11554107*a**2 - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -3. Let a be ((-8)\/(-10))\/((-1)\/(-5)). Let q(w) = -2*w**3 + 4*w**2 + 4*w + 4. Let u(y) = -2*y**3 + 5*y**2 + 5*y + 5. Determine a*u(m) + j*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 q, and 1 n when four letters picked without replacement from qnqcncqc.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -261 - -247?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -1634, -2869, -4346, -6041, -7930, -9989?\nAnswer: -12194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5902194.\nAnswer: 2, 3, 983699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/(-4) - -2 - 45\/(-60). Calculate the lowest common multiple of 16 and r - (-11)\/((-22)\/(-28)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*198\/5445*(-5)\/1\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771135083 to the power of 1\/2, to the nearest integer?\nAnswer: 52642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 35*b = -156 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44191075 + -44191098.9999816. Let s = x + 24. What is s rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/9)\/1 - -14. Let f(h) = 79*h - 151. List the prime factors of f(u).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bbe732 (base 15) in base 6?\nAnswer: 520004132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48.71 - -0.71. Let x = -47.5 - b. Let w = -7 - -17. Sort -3\/4, x, w in descending order.\nAnswer: w, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t**(-11)*t*t)**(2\/3)*(t*t**1*t)**(-1\/64)\/(t*t*t\/(t**5*t)*t*t**(1\/13)) assuming t is positive.\nAnswer: t**(-28597\/2496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000992100898 rounded to 7 dps?\nAnswer: -0.0009921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 770 divide 1819545420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -347, -692, -1031, -1364, -1691, -2012?\n\"Answer: 3*t**2 - 354*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*p - 6, 0 = -0*p + 3*p - 5*a - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*q - 4. Let c = 15 - 11. Let l = -27 + 51. Solve c*v = l - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 7:32 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 + 10821*i**2\/2.\nAnswer: 3*i**2*(i + 3607)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(891)*4 + sqrt(891) + -2 + 2)**2.\nAnswer: 270*sqrt(11) + 22284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 156*h - 219 = -2151 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5330\/494 + 32\/152.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.2 + 47.646. Let g = 0.8 + w. Let i = 0.036 - g. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*l**4 + 2*l**3 + 10*l**2 + 2 - 3*l**3 - 279*l + 585*l - 279*l + 82*l**4 to y*l**2 + k*l**3 + u*l + z + i*l**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149563 is divided by 357?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50064 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -37*j - 230. Let g be z(-6). Let m(c) = -2*c**3 - 18*c**2 - 15*c + 12. Let o be m(g). Sort o, -7, -25 in increasing order.\nAnswer: -25, -7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 236*q - 16. Determine l(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(30)\/sqrt(3)) + -1 + sqrt(891))**2 + 3 + (3 + sqrt(44)\/sqrt(4) - sqrt(11))**2.\nAnswer: -20*sqrt(11) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)\/i*i*i*i*i*i**(-2\/7)*i)\/(i**(-2\/7))**(6\/7)*((i*i**(-1\/11)\/i)\/i**(-2\/7))\/((i**(-3)\/i)\/(i\/((i\/(i\/i**(-1\/7))*i)\/i))) assuming i is positive.\nAnswer: i**(44560\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from ppprkpkkpzkxkpx?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -56355, 4 in descending order.\nAnswer: 4, -0.1, -56355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) - sqrt(171)*-1))\/(sqrt(9) - sqrt(36)\/sqrt(36)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -31*a + 3. Let d(j) = 17*j**2 + 48. Let v(z) = 3*z**2 + 8. Let p(y) = d(y) - 6*v(y). Determine p(r(q)).\nAnswer: -961*q**2 + 186*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/165 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18595*m**3*p + 2*m**2*p**2 + 3*m**2*p - 3239*m*p**2 + 9*m*p - 2*p**2 wrt m.\nAnswer: -111570*m*p + 4*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27.7889 from 4.274805.\nAnswer: 32.063705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 5. Suppose -185*n + 192*n + 70 = 0. Let k(o) = -o**2 - 15*o - 44. What is the lowest common multiple of k(n) and p(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111 + -82?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papaparpaaaaapaappa. What is prob of sequence pr?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/5 - 59*s**2\/5 + 311*s\/5 + 371\/5 = 0.\nAnswer: -1, 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 22 = -i, 0 = -2*i - 5*d - 25 - 13. Let w(r) = r**3 + 17*r**2 + 3*r - 6. Let j be w(i). What is the greatest common factor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 97635?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/8 (b) -1 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/10 + 22*b + 642\/5.\nAnswer: (b + 6)*(b + 214)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(384)*1 + sqrt(384) - sqrt(384) - sqrt(6))*3*1 + -3)**2 + -1.\nAnswer: -18*sqrt(13)\/7 + 509\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32532965.\nAnswer: 5, 1789, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r - 3. Let h be p(5). Suppose h*o - 15 = 26*o. What is the second derivative of -c + 9*c**5 + o*c + 0*c wrt c?\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (12 + (-3 - 12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-24)\/288).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1142, -55 in descending order.\nAnswer: -5, -55, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/40*5\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/72 and 87\/(-1160) + (5\/(-70))\/((-1)\/(-4)).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2\/11*n**3 + 970\/11*n - 44 - 488\/11*n**2 = 0.\nAnswer: 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681690923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507073.\nAnswer: 7, 107, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {e: 5, h: 8, f: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 36 = -4*a, 3*g - 14 = -4*a + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2 + 2 - 8*v + 6*v. Let d(f) = -44*f. Calculate d(g(m)).\nAnswer: 88*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/20160 + d**7\/840 + d**6\/120 - 3*d**5\/20 - 4*d**2. Let z(p) be the third derivative of h(p). Give z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 716714482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**5\/20 + 2*z**4\/3 + 3*z**3\/2 - z**2\/2 - 2*z - 197. Let x be (-6)\/12 - 13\/2. Calculate q(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31331044 + -424?\nAnswer: -31331512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 61.2+-259983\nAnswer: -259921.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 40*k**2 + 3*k - 92. Let m(i) = 2*i. Determine l(m(t)).\nAnswer: 160*t**2 + 6*t - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = 5*r + 52*n - 53*n, -2*n = -4*r - 232. What is the fourth smallest value in 19, r, 3, -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 - 96 = 21*j, -161*j + 157*j - 51 = -2*n - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g - 29*g + 3*g - 16*g.\nAnswer: -77*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)*b)**(13\/4)*b\/(b\/(((b*b**(-2))\/b)\/b)*b)*b**11)**(-24) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 1454, 1450?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 1690 - 1690.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102013130 (base 5) to base 11\nAnswer: 269819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 37 - 149. Calculate the greatest common divisor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 21*z + 5. Let c(p) = 21*p + 4. Determine -5*c(k) + 4*m(k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 7) to base 13.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*d**2 + 262*d**2 - 513*d**2 + 745*d + 0*d**3 - 745*d + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (553 - 256 - 207 - 184)*(2*v - 2*v - v**2).\nAnswer: 94*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020001 times -0.022?\nAnswer: 0.000440022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1879286.\nAnswer: 751714.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-5) + (2 - 2). Suppose 0 + 3 - 3*h - k*h + 12*h**3 = 0. Calculate h.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010000111100001 (base 2) to base 13.\nAnswer: 606a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:14 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 131*b**2 + 15*b - 28. What is the tens digit of i(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, t: 4, p: 2}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 4268.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -115181.\nAnswer: -115181, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 5*x - 25, 5*h - 71 = 4*x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 13*v - 147. Let t be f(6). Solve -q + 5 = j - 0, 3*q = t*j + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + p - 15, 4*o + p + 2*p - 59 = 0. Solve -8*b + o = -18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1114241, 2228509, 3342807, 4457135, 5571493?\nAnswer: 6685881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 26*s**2 + 25*s - 12. Let g be d(12). Which is the nearest to 0.2? (a) 6 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - 0 - (37 + 3 + -30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057590335 to five dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-21))\/((-43)\/(-516))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.5156 - -9.5156. Let d be (1761\/2)\/(33\/(-68)). Let r = d + 1816. Which is the smallest value? (a) m (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {v: 1, x: 1, g: 1, l: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 6. Let a be d(-9). Let j(x) = -x + 2. Let s = -11 + 13. Let i(b) = -b + 1 + s*b - 2*b. Calculate a*i(v) + 2*j(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -3\/8 (c) -5970 (d) 1\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqqqqi. Give prob of sequence qqqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 1 + 6 + 1 - 13.\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -333, -337, -341, -345, -349, -353?\n\"Answer: -4*d - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4493, 1\/3, 0 in increasing order.\nAnswer: -4493, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -113672126 equal to -113672126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -29*f**2 + 7*f**2 + 9*f**2 + 8*f**2 + 7*f**2. Let w(m) = -6454*m**2. Determine c(w(j)).\nAnswer: 83308232*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + a + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Suppose -11*f = -10*f - 69. Let d(z) = 92*z + 69. Let o(r) = f*y(r) + d(r). Let b(u) = 204*u**2 - 5 - 203*u**2 + 5. Give b(o(n)).\nAnswer: 529*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*i - 3*w - 110, -2*w + 22 = -i. Let m be (i\/(-2 + 1))\/2. Let b = -7 + m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.78153nm to centimeters.\nAnswer: 0.000005978153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-398)\/72 - 3\/12 and ((-2)\/18)\/(-1)*-71?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121152773 + -5?\nAnswer: -121152778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246 - 3329 = 105*y + 5277 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 17785*d**2 - 2054640*d.\nAnswer: 5*d*(d - 3669)*(d + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*n + 28, 2*k = -2*k + n + 45. Suppose -o + 6*o = 0. Suppose -5*c + 34 + k = o. 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 = -103 - -15. Does 9 divide 27*1 + m\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -613 - 0?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.22207430906.\nAnswer: -3.77792569094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*p - 253*p = 12125 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -9. Let m = k + -6. Which is greater: -0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y - 1204230 = -90*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136001 - -14232?\nAnswer: 153233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t + 32. Let a be g(13). Calculate the highest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920852 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2255 + -1348. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 + -652683273872?\nAnswer: -652683273875.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 2*m - 3*m, 4*h - 5*m + 25 = 0. Let t(u) = -3*u**3 - 10*u**2 + 5*u + 6. What is the hundreds digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422156 is divided by 220.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 1. Let l be f(5). Let x(v) be the first derivative of 1\/2*v**2 - 2*v + 2. Calculate x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*p + 46. Let s(z) = z**3 + 6*z**2 - 7*z + 2. Let c be s(-7). What is the third derivative of 425*j**4 + 9*j**p - 425*j**4 + 12*j**c wrt j?\nAnswer: 1080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 276. Calculate the remainder when l is divided by 1\/((-1872)\/(-372) + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421 + -3?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d - -234?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12637262, 25274528, 37911794, 50549060?\n\"Answer: 12637266*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10211, -20, -5, -44 in ascending order.\nAnswer: -10211, -44, -20, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*24\/36*(-2)\/(-4). Put 8, 3, p, 2 in ascending order.\nAnswer: p, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 3 - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**4\/7 - 816*r**3\/7 + 11156*r**2\/7 - 27696*r\/7 + 2480 = 0?\nAnswer: -217, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2928512741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugxktgxlllx. Give prob of picking 1 k, 1 g, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299\/(40 + (-33 - -6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2. Let l(v) = -v. Suppose 0 = 7*n + 7 + 14. What is n*l(t) + x(t)?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 50 = -3*t + 4*t, 5*t = -s - 14. Let j be (-1)\/(46 + -40 - s*1). Factor j*u**4 + 1\/5*u - 1\/5*u**3 + 0 - 1\/5*u**2.\nAnswer: u*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4265 + 42)*1\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.98 - 1. Let s = k + 0.32. What is the nearest to s in 0.4, -5, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 15 + -1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 444 or 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*n - 6 = 4*u, -5*u + 11 = 3*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3050 divided by -10\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 63\/1*6*84\/1176\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i - 12. Let h be j(-4). Let a = 57 - h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 11. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -422, -424, -426?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-252)\/8))\/(11*2\/22)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006398 to 6 decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 2. Let j(h) = -5*h**2. Let g(l) = -2*j(l) - 3*v(l). Let z(t) = 1. Suppose -2*o + 6 = 4. What is o*g(q) + 5*z(q)?\nAnswer: 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2)\/(sqrt(486) - (sqrt(486) + (sqrt(486) - -2*sqrt(486))) - sqrt(486)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -843, -1264, -1685, -2106, -2527?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3230 and 39\/874.\nAnswer: 74290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14 (b) -0.11 (c) -4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-6) + 855\/6 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4280 divided by -2739.\nAnswer: -4280\/2739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(-24)\/180*3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 0 - (14 - (-12 - -14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14405 (base 7) to base 13\nAnswer: 1a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/132695 - -106164\/132695. Factor 68\/5 - l*r**2 + 64\/5*r.\nAnswer: -4*(r - 17)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6544 and 1581.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 105. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*f + 4*l = 75*f - 4060, -2*l + 2054 = 2*f. Calculate the remainder when f is divided by 69.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -17*w**2\/2 - 183*w. Let f(p) = -39. Let n(v) = -4*f(v) + 9*m(v). Let t(i) = i**3 + 4. Give -4*n(z) + 3*t(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 4 = g, j = 5*g - 7. Solve -o + j = 5*l - 16, 16 = 4*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2079803 and 10020869?\nAnswer: 110229559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/8 - 1721*p\/8 - 31977\/4 = 0.\nAnswer: -1683, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k + 3128 = 33*k - 110*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + a - 3*a + (-a - 5 + 5)*(2 - 3 + 2) + 0 - a + 0 - 256 + 23*a + 256 - a + 2*a + 0*a + (0 + 1 + 1)*(-a - a + 3*a) - 15271 + 15271 - 20*a + a - 5 + 5.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47550.\nAnswer: 2, 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475 a factor of 1246311575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. What is the derivative of 0 + 0 - 5*i**t + 4 + i**4 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*c - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 13*o**2 + 4*o - 42. List the prime factors of n(9).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15524 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1960288 divided by -178208.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i + 2938. Let k(z) = -6*z. Determine k(a(b)).\nAnswer: -6*b**2 + 6*b - 17628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/20)\/v)\/v)\/v)\/(v*v\/(v\/v**(-8)*v)) assuming v is positive.\nAnswer: v**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40 (b) 13 (c) 0.4 (d) -1 (e) -2\/9 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 8. Suppose 3*y - 12 = 5*w, 5*w + 4*y = 5*y - 4. Solve w*n - x = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 33*r**2 - 13*r + 163. Let v be c(33). Let h = v - -267. Solve 4*d - 5*g + 6 = 0, g = -h - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 f, and 1 g when four letters picked without replacement from {f: 2, t: 2, y: 2, d: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51483 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-36 + 22 - -20).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23951 - -24847. Solve 96 = -y*l + 884*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(15\/(-72))*6\/24?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 15.647 (b) -6 (c) 2\/3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -31\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k - 1. Let r(t) = 2*t**2 - 100 + 30 + 32*t - 88. Let n(g) = -r(g) - 4*z(g). Factor n(v).\nAnswer: 2*(v - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let d = 3 - -2. Let n(s) = 0*s + 5*s - 5*s**2 - d*s. Give y(n(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 5:37 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 - 8*f - 2. Let p be s(6). Suppose 0 = -4*x + y - p, 4*y = -3*x + y - 9. What is the second biggest value in x, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*k**3 - 951*k - 291*k**3 + 181*k**3 to h*k**3 + w*k + t*k**2 + q and give w.\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**4 + 3*o**3 + 5*o**2 + 3. Let f(s) = -17*s**4 + 5*s**3 + 10*s**2 + 5. Let u(t) = -3*f(t) + 5*z(t). What is the third derivative of u(v) wrt v?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 951 = -12*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 776 and 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -57. Let q(t) be the second derivative of -t + f - 1\/3*t**4 - t**2 + 0*t**3. Differentiate q(z) with respect to z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*m + 6 - 41, 5*f - 3*m = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3126*-379\nAnswer: 1184754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261727586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -368*c + 4988. What is the lowest common multiple of m(13) and 629?\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and -1 - 1 - (375\/(-80) + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11644163 is divided by 6616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - (-10 + -12 + -8))\/(-416) and -95\/1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 0.1, -0.5, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-6))\/(20\/16). Find the third derivative of 19*t**4 - 20*t**w - 12*t**2 - 30*t**4 wrt t.\nAnswer: -264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 7*f - 4. Let m be g(-5). Let t = m - 1. Let k(z) = -z**2. Let s(b) = -8*b**2 - b. Let p(w) = t*k(w) - s(w). Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.9792 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 23*n + 2163. Suppose 0 = 5*h + 5*j - 795, -13*h - 5*j + n = -11*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(720)*4)**2)*3.\nAnswer: 103644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 + 5*d**3\/3 - 13*d**2\/2 - 295*d. Let r(n) = -n**2 + 9*n - 8. Let k be r(6). Calculate y(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64220, 128440, 192660, 256880, 321100, 385320?\nAnswer: 449540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 24. Let u be j(-16). Which is the closest to 1? (a) 5 (b) u (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/(1\/(4\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -77. Let m be (11\/22)\/(n\/12). Let i be 1 - 1*(0 - 0). Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 8 = 0. What is the third derivative of -3*y**4 - 3*y**2 + 3*y**4 - n*y**6 wrt y?\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 1. Let t be u(-3). Let c = 18 + t. What is the units digit of (-78)\/(-2) - (10 - c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 21\/2*z**2 + 14*z + 0 + 0*z**3 + 13\/12*z**4. Differentiate u(g) with respect to g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11570\/4450 - (0 - 1\/10)*-6. Let k = 6 + 1. What is the greatest common factor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let s(m) be the third derivative of -m**4\/24 - m**3 - 3*m**2 - 2. What is s(d(z))?\nAnswer: z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 89 = 341. Let s = d - -128. Are 8 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y)*(2*y + 0*y - 4*y) + 5*y**2 - y**2 + y**2 + 24*y**2 - 163*y**2 - 42*y**2 + 0*y**2 - 3*y**2 + y**2.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let s = 126 - 87. Let x(v) = s*v**2 - 81*v**2 + 40*v**2 + 2*v. Calculate q(x(m)).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:43 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2163 + 1290 - 587 + 7575 + 2*j.\nAnswer: 2*j + 10441","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**11\/d)\/(d\/(d\/(d**22*d)))*(d*d**(-16)*d)\/d*d**(-6)*d assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2718, 4554, 6390, 8226?\n\"Answer: 1836*g + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 14*x**2 + 15*x - 5. Suppose -k = 5*g - 10, 3*k + 10 = k - 4*g. Let l be q(k). Let f(b) = b + 5. Calculate f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2286520a + -6?\nAnswer: 22865204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 94a?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*((x*x**(-2\/43))\/x*x*x)\/x)\/x)\/(x\/x**(-1\/11)) assuming x is positive.\nAnswer: x**(408\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (2\/(-6))\/((-14)\/(-210)). Let i(z) be the second derivative of 9\/2*z**2 + m*z**3 - 1\/6*z**6 + 0 + 0*z**4 + 0*z**5 - 7*z. Differentiate i(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/21*(-700)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -103. Let m be 2*(-3 + o\/(-18)). Let r = -3 - 1. What is the closest to -0.1 in r, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t. Let k(y) be the third derivative of -y**5\/20 + 6*y**2. Determine a(k(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, x: 4, h: 1, l: 6}. Give prob of picking 1 l and 2 n.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 10, l: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 4062*i - 57070. What is m(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18122 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(4\/25)\/(((j*j**(-1\/8))\/j)\/(j**(-10)*j*j)) assuming j is positive.\nAnswer: j**(-1559\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 66*s + 10385400. What is s rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -7\/12, 2\/49, -3\/5?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21145.9999956 - -21145.49. Let x = 0.51 + f. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/9, -0.02704, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/5 - 3332*p**4\/5 - 32994*p**3\/5 + 209336*p**2\/5 + 1126808*p\/5 + 1205568\/5 = 0?\nAnswer: -1656, -13, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h*h\/(h**(-33)\/h*h)*h))\/(h*h*h**(-29)))**(-11\/6) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 638038417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12 - (-36 - -13)) + -3 - (-2 + 97)) + 7\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g - 3. Let z be v(3). List the prime factors of (-90)\/(-6)*(z - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 4, -9.\nAnswer: -9, -6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5881?\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2897*j + 10661 - 633596 = 8612*j for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 38*u**2 + u - 2. Let s(w) = -75*w**2 - 2*w + 5. Let o(a) = 5*l(a) + 2*s(a). Is 7 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w. Let u(o) = -137*o**3 - 3*o - 6. Let n(l) = 3*j(l) - u(l). What is the derivative of n(i) wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -510 - -1099. Suppose 3*n - 2*q + 5*q = 1731, n - 2*q - s = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.7 - 31.2. Let w = -0.5 - i. What is the closest to 0.1 in -1, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from bwzzkk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:38 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 39. Suppose 5*m - k = i*m + 47, 4*k + 23 = m. Calculate the highest common divisor of m and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1552*-0.255.\nAnswer: -0.039576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 14) in base 10?\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*l + 110 = 226*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 2, r: 1, v: 1, b: 1, h: 2}. Give prob of sequence rz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6557 is divided by 1417.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.357 - -0.057. Let p = -36 - -35.6. Let u = 4.4 + p. Which is the smallest value? (a) -1 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + -2 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286*f - 26*f**2 + 578*f - 28*f**4 - 24*f**4 + 2668*f wrt f.\nAnswer: -624*f**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1177.526359 and -0.4.\nAnswer: 471.0105436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 6\/95, 1\/4, -3\/7, 5 in ascending order.\nAnswer: -3\/7, 6\/95, 1\/7, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i - 10 - 620 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t - 5 = 0. Let s be (1\/t - -5) + 0. Let k = 16 + s. Solve 0*n - k = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.5 (b) -1\/172 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 4. Let s(y) = -366*y - 44. Determine 2*s(a) - 22*u(a).\nAnswer: -688*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (495\/9460*86)\/((-171)\/(-2)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6779, 13472, 20159, 26834, 33491, 40124, 46727?\n\"Answer: -p**3 + 3*p**2 + 6691*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50381\/13146 - 2\/2191. Let i(h) = -h**2 + 11*h + 7. What is the common denominator of i(9) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 - 532*p**2 + 51*p**2.\nAnswer: -526*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104374992767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 55113, 110223, 165333, 220443?\n\"Answer: 55110*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 5. Let r be x*(1 - 1) + 23. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -70. Let g = 32 - w. Solve g = 5*h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 73 = -56*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001001110101011 (base 2) in base 11?\nAnswer: -128552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.0016 - 7. Round r to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40442 + 19568. Let j = 20856.0444 + i. Let k = j - -18. What is k rounded to 3 dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 13*s**2 + 2042*s + 17834. Calculate m(-9).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2288 and 0.1?\nAnswer: 228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 225 + 671 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*s - 2*s, -2*s = 5*h. Suppose h = -m + 6*m - 125. Let l be (4 - 120\/m)*-5. Solve l - 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {o: 1, d: 5, a: 1, s: 1, g: 1, q: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11043*d**2*i**4 - 10*d**2 + 139 with respect to i.\nAnswer: -44172*d**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -6*x + 30. Is 6\/29 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 - 3*r + 6. Let d be a(-4). Solve -n = d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 6, k: 2}. Give prob of sequence mhk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9065912 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z - 2*v + 14, -z + 5*v = 21. List the prime factors of -1 - (-1)\/z*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.7262ms in seconds?\nAnswer: 0.5347262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68646825 divided by 3?\nAnswer: -22882275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243737 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13*60\/1820 - 2\/((-168)\/(-1548))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from ttrrttrrrrtttr?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:05 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12974891*i**3*v + 64*i**2 + 55998*i*v wrt i?\nAnswer: -77849346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-154 - 9*x + 154 + 2 + 2*x - 2 + (-7*x - x + 3*x)*(0 - 3 + 5)).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3692 = 9*w + 524. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.4 + -7. Let b = -24.61096 + 24.211. Let p = r + b. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 33*n + 206. Suppose -7 + 10 = -3*t, 0 = 3*o - 4*t + 14. Give q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.112 - 0.188. Is o bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2424 = 59*k - 56*k. Do k and -807 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 1462840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/3130 and 59\/6260.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -113*v**3\/2 + 1091*v**2\/2 + 232*v - 370 = 0.\nAnswer: -1, 74\/113, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12109100 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 9*k**2 + 9*k - 8. Let l be d(8). Suppose l = -0*w + 4*w. Suppose -r + w = -1. Solve u + 4 = -r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*1*(0 - 1). Let m be (-288)\/(-60) - 2\/b. Let s(p) = 0*p**2 + 4*p**2 - 5*p**2 + 4*p + 3. Calculate s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 2, w: 9, v: 2, j: 1}. Give prob of picking 1 j and 1 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 842267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1176) + -2*sqrt(1176) - sqrt(1176))\/((sqrt(72)\/sqrt(4) - sqrt(18))\/sqrt(9) - (sqrt(120)\/sqrt(5))\/sqrt(12)))**2.\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 80*q - 489. Calculate n(-85).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001317 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by -1*8\/12 - 92\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58511 divided by -109?\nAnswer: 58511\/109","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f)\/f)**28\/(f\/((f**(1\/4)*f*f)\/f*f)*f**(5\/6)) assuming f is positive.\nAnswer: f**(-331\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431 (base 6) to base 13.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*16\/(-304)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281.3, 1\/5, 5 in descending order.\nAnswer: 5, 1\/5, -281.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26757 and 114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16990 and 3885613.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16625818 * 0.4\nAnswer: 6650327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278.88 - -279.1. Sort 4, -3, p, 1\/4, -10 in decreasing order.\nAnswer: 4, 1\/4, p, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 26 - 11. Let q = 6 - o. Let p = 3 - q. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 7170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 587 and 12398.512?\nAnswer: 11811.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*f**3*m**2 - 5266*f**3*m - 4*f**3 + 2*f**2 + 327524*m**2 wrt f.\nAnswer: -144*m**2 - 31596*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -129, -242, -475, -888, -1541, -2494, -3807?\n\"Answer: -10*m**3 - 43*m - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32582696 rounded to the nearest ten thousand?\nAnswer: -32580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 80*v**2 + 17. What are the prime factors of h(-4)?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -0.07. Let a = m + -0.10001. What is a rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -409. Let h = c - 92. What is the highest common factor of h and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 326071370.\nAnswer: 978214110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 5. Let b be w(-1). Let y be 6\/(-9) - 334\/(-795). Let z = y - -6\/53. Is z > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**1)\/h*(h\/h**(-5))\/h*h)\/(h*h**(-1)\/h)**(-3\/31))**(32\/5) assuming h is positive.\nAnswer: h**(1568\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 8*l**2 + l - 7. Let x be t(8). Let q(w) = 3*w**3 - 2*w**2 + w. Let a be q(x). Solve -6 + 0 = -a*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3213 - 3165 + 8*i - 2*i**4 - 6*i + 4*i**4 + 29*i**3 wrt i.\nAnswer: 24*i**2 + 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/20 - j**4\/4 - 5*j**3\/6 - 5*j**2\/2 - 6*j. Let y be i(-2). Is y at most -1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65440*i**3 - 13831*i**3 + 65947*i**3.\nAnswer: 117556*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (351\/50 - 7). Let w = b - 1142\/225. Find the common denominator of w and 137\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c + 15. Let f(t) = -2*t - 3. Suppose 360*u = 245*u - 1265. Give u*f(r) - 2*i(r).\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5010 is divided by 420?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 431133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10602 is divided by 5300.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -93c8 (base 13) to base 8\nAnswer: -47734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255102252534 - -1?\nAnswer: -255102252533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 188\/(-28) - (2 - -3). Let p be -1*(-3)\/39*-2. Let m be (-7)\/(-8) + (-2 - -1). Which is the biggest value? (a) z (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -595 + 595. Let b = 54 - 271\/5. What is the fourth smallest value in 0.4, 5, v, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135044404 - -4?\nAnswer: -135044400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.096? (a) -1\/4 (b) -2 (c) 19 (d) 4\/7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:13 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3*(-15)\/5. Is 3\/5 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 - x**2\/2 - 4*x + 1. Suppose 3*d - j + 7 = 2*d, 0 = -d - 4*j + 13. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6453, 6449, 6451, 6459, 6473?\nAnswer: 6493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/88390482?\nAnswer: -1\/88390482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3920.1 - -3420. Let y = g + 438. Let n = y + 62. Which is the third smallest value? (a) 0.08 (b) 2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79356352 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/7 + 4990*y**3\/7 + 24775*y**2.\nAnswer: y**2*(y + 35)*(y + 4955)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-20)*90\/252?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 794 - 789. Suppose -4*m - 1 + 13 = 0. What is the least common multiple of t and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h**2 + 60. Let p(n) = 28*n**2 - 88. Let o(g) = 22*c(g) + 15*p(g). Let s(v) = -1189*v**2 - 6*v. What is s(o(f))?\nAnswer: -4756*f**4 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41865 (base 9) in base 6?\nAnswer: 332052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22919*n + 23000*n - 68926*n + 4*n**2 + 23007*n + 6*n**2 - n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41162, 3, 348, -2, -1, 0 in decreasing order.\nAnswer: 348, 3, 0, -1, -2, -41162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 2099 - 189. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 u when three letters picked without replacement from jzjfufjjjjjjjjj?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129201229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t - 1. What is r(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, p: 2, d: 5}. What is prob of sequence dpf?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 674287751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745970?\nAnswer: 2, 5, 74597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22.8, -0.09, -0.38 in increasing order.\nAnswer: -22.8, -1, -0.38, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/5 + 64*p**4\/5 + 32*p**3 - 1280*p**2.\nAnswer: 2*p**2*(p - 8)*(p + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.76518 to 0 decimal places.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 21. Let y be 0\/(-2)*1\/1. Suppose y*p = p - x. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -293, -442, -591?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44545340 (base 6) in base 2?\nAnswer: 101001001111111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 - 2 = 0. Suppose -f = x - 3. Let h = 1167 - 1164. Solve 13 = -h*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 175 + 175 + 11*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3 + 7 = -5*a, a = -2*m - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 24, 22?\n\"Answer: -2*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.9 - -0.9. Let s be (-8)\/20 - 13\/5. Let p be (1 + s)\/10*4. Which is the nearest to 2? (a) d (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 290, 476, 680, 896?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 1, c: 7, a: 4, s: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from {f: 1, w: 11, d: 6}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 140893558?\nAnswer: 1268042022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-12))\/(5\/(-10)). Let z = 38\/5 - 36\/5. Which is the closest to -0.1? (a) z (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -226\nAnswer: 226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -43*j + 62. Calculate r(-4).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4291 - 3242. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pphhph?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/64753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2356*v**2 + 2 - 4795*v**2 + 2381*v**2 to q + w*v + s*v**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 plus 852872?\nAnswer: 852935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17032173.\nAnswer: 3, 37, 153443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 4*i + 114 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p + 90. Which is smaller: -19 or p?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 918 + 5*r - 18*r + 457 to f + t*r and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6158086230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 114, 25, -100, -261, -458?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -528 + -108?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170 - -338. Suppose 371*b = 363*b + k. Solve 0 = -3*h - 10*x + 5*x - b, -13 = 5*h + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377129401 to the nearest integer?\nAnswer: 19420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 + 64?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + -74 - ((1 - 50) + -23 + 24).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -316.36425 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -1744, -2636, -3528, -4420?\nAnswer: -5312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(4 + sqrt(3)))**2.\nAnswer: 200*sqrt(3) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x**2 - x. Let p(n) = 26*n. What is v(p(u))?\nAnswer: 9464*u**2 - 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-1*-6 - (3*sqrt(90))\/sqrt(9))\/(-3*sqrt(162) - (sqrt(98) - (2*sqrt(98) - sqrt(98)) - sqrt(98))).\nAnswer: -3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*120\/520)\/((-6)\/(-44))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.1 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)*j**8)\/(j**(1\/5)*j**(-1\/9)))**(-2\/5))**(-2\/59) assuming j is positive.\nAnswer: j**(1064\/13275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 3087.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212522 (base 6) in base 15?\nAnswer: 319b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2446 (base 7) to base 12\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 5. Let d be f(-3). Let t(n) = -12*n**3 + 3*n**2 + 2*n + 1. Let z be t(-2). Let i be (-51)\/z - (-4)\/20. Put 1\/4, d, 1\/3, i in increasing order.\nAnswer: d, i, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(121)\/(sqrt(11)*-1) - ((sqrt(44)*-2 - sqrt(44)) + sqrt(44))\/sqrt(4)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723154861 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 303 - -57. What is the tens digit of (-1)\/1*2*i\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/(-202)*44\/(-8).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -7 + 11 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 70.2. Let g = -2.8 - z. Which is the nearest to -1? (a) g (b) 0.09 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 + 10*t + 20. Let g be u(11). What is the greatest common factor of 99 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:31 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*r - 93*r = 36. Which is smaller: 94\/59 or r?\nAnswer: 94\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjjbbjbbbb. Give prob of sequence jb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 3 + 3 - 21*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -13)*((1155\/(-43))\/3 + (-21456)\/461304)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 167\/28363, 2\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3. Suppose -76*f + 1096 = 102*f - 41*f. Let o(b) = 10*b**3 - 26. Give f*k(l) - o(l).\nAnswer: -2*l**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 232*r**6\/5 + 7*r**3\/3 + 11*r**2 + r - 858. Find the second derivative of m(p) wrt p.\nAnswer: 16704*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11477 + -11337. What is the remainder when 4052 is divided by r?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162899123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - 1*sqrt(5)*-3 - (0 + sqrt(245) + sqrt(5))**2 - ((2*(sqrt(5) - sqrt(25)\/sqrt(5)))**2 - (-2 + sqrt(10)\/sqrt(2))).\nAnswer: -322 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**2 + 11*p**2 + 2*p**2 - 47*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136123540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 340 + 42384?\nAnswer: 42734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4104 + -4088. Solve -25*n + 134 + i = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(243) - (sqrt(243) - (1*sqrt(243) + 5))))**2 - (2*(sqrt(243) + 4) - ((sqrt(243) - sqrt(243)*-2) + 4)**2).\nAnswer: 2358*sqrt(3) + 8846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/60 - b**5\/5 + b**4\/2 + 2*b**3\/3 - 13*b**2. Let g be i(7). Let h = -50 + g. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 9766 - 7*q**2 - 9758 + q + q**3. Determine a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 34 = -26. Let t = i - 20. Solve -3 = 3*l - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/455*-7*11\/(264\/400).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*l + 43 = 0, -5*j + 2*l = -3*l + 275. Let d be (125\/(-45) + 3)\/((-4)\/(-894)). Let a = d + j. What is the common denominator of -18\/7 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**7*x\/(x\/(x*x**(-10\/3)))*x assuming x is positive.\nAnswer: x**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 181057907.\nAnswer: -543173721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -5*x - 2, -3*x = -5435*v + 5430*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-2 + 21)*-1. Solve 5*o - 5*l - w = 0, -2*l - l = -2*o + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 208, 3, 4 in decreasing order.\nAnswer: 208, 21, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16666 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.037 - -0.137. What is the closest to b in 1\/5, 3, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -131. Let n be 2\/(-1) - h\/(-4). Suppose -3*y + n = -7. 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 v(b) = -b**2 - 6*b. Suppose -2*w - 4*l - 24 = -0*l, w = 5*l + 9. Let s be v(w). Let p(z) = -z - 2. Let g be p(-2). Solve y + g*y + 4 = s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1395)\/(-75) + 1\/(10\/4). Suppose 0 = s*z + 103 - 2744. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 32. Let g(i) be the third derivative of 0 + 1\/60*i**6 + 0*i**4 - 1\/3*i**3 + 0*i**5 + 0*i + 4*i**d. Differentiate g(j) with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 8597348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -654 - 140?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/36)\/(2\/16). Let a = 6.07 - 0.07. Let y = a + -6.2. What is the biggest value in 3\/5, y, j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373 or -149183\/399?\nAnswer: -149183\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 118 = -28. Is (r\/7)\/(0 - 6\/(-42)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*v = 365*v - 227*v - 14881 - 14024 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2045223758 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/12)\/(3\/4). Suppose -l + 21 = 5*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27965623 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.2 and 182?\nAnswer: -5132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1101011?\nAnswer: -1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484049041.\nAnswer: 1484049041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - -4. List the prime factors of 8\/(-6)*x\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 40, 61, 82, 103, 124?\n\"Answer: 21*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/10)\/((-40)\/(-1100)) + -3. Which is the closest to 0.1? (a) 3 (b) s (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -21. Let w = t + -11. Suppose w*q = -3*q + 270. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((2 - 2) + (2 - 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 53 - 4 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/8 - 1221*s**3\/2 + 635655*s**2\/2 - 51945912*s + 202737384 = 0. Calculate s.\nAnswer: 4, 316, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1 - (sqrt(468) + 1)) + (sqrt(832) - (sqrt(832) + 0))*6*6 + -4)**2.\nAnswer: 24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*f - 6*x - 202, 179*f - 183*f - 10*x - 242 = 0 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - g - 5 = o, 2*o + 9 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189130, 378280, 567430, 756580, 945730, 1134880?\nAnswer: 1324030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzuu. What is prob of picking 4 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 56*a**2 - 36\/7*a**3 + 0 + 3\/14*a**4 + 13\/280*a**6 + 0*a + 1\/490*a**7 + 23\/70*a**5. Factor k(q).\nAnswer: 3*(q - 1)*(q + 2)*(q + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358 + -1044. Let w = j - -686.487. Let o = w - -0.143. Round o to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 18*a**5 + 27*a + 7. Let m(t) = 12*t**5 + 18*t + 5. Let p(d) = 7*m(d) - 5*r(d). What is the second derivative of p(f) wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 9526968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 175 + 1 + 1 + -1. Suppose 0 = 4*l - r + 251, l + 2*l - 5*r + 184 = 0. Let u = q + l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 25 - (-6 - 1) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 361.\nAnswer: -505.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 225 + -125110?\nAnswer: -124552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1358000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 29 + 1366*j**2 - 58.\nAnswer: 1366*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-32))\/(287\/328).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/3 - 887*m**2\/2 - 163*m + 3. Let h(z) = z. What is h(a(k))?\nAnswer: -2*k - 887","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.049? (a) -7\/6 (b) 13 (c) -5 (d) -2 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -52 - (-8045 - -8061).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5\/5 - 135792*n**4\/5 - 2036621*n**3\/5 + 4616418*n**2\/5 = 0.\nAnswer: -135777, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24125, 40452, 56775, 73094, 89409, 105720?\n\"Answer: -2*m**2 + 16333*m + 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 - 2*z - 1. Let p be r(-1). Suppose -53 = 3*j + t, -2*j - 10 = -5*t - 3. Let x = 14 + j. Put x, p, -5 in decreasing order.\nAnswer: p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36130611 + -4?\nAnswer: 36130604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0343 and 19.5?\nAnswer: 19.4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:45 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498 - 994 + 496 - 67*b**3.\nAnswer: -67*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 3. What is the units digit of 16 + (-3 - 0 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 10 - 4 + 9.\nAnswer: h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**7\/s)\/s**4)\/(s**(-2\/3)\/((s**4*s)\/s*s*s)))**(2\/21) assuming s is positive.\nAnswer: s**(58\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.043 + 0.167. Let w = y - -0.79. Suppose 0 = n + 2*a + 15, -a = 3*n + a + 25. What is the nearest to w in -0.3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*r = 3*r + 20, -3*f + 20 = 4*r. Suppose -3*b + 5 - 20 = f. Sort 11, -2, b.\nAnswer: b, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a day in minutes?\nAnswer: 16992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*i**4 + i**3 - 9692*i - 25478280 wrt i.\nAnswer: 80*i**3 + 3*i**2 - 9692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/464 + -7\/29. Let q be ((-60)\/21 + 3)\/(8\/14). Do o and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 614 = p - 609, -5*u - 5*p = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 298499491983*w + 298499491983*w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*j - 6400008, -5*j - 8 = -3*j. What is p rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -84*s + 1342. Let f be l(16). Let k(o) = -35*o + 2. Let y(j) = -70*j + 5. What is f*y(p) + 5*k(p)?\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2147914 in 5, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20914 + -20930.953. Let i = 17 + n. Round i to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 29*h - 18. Suppose -9 = -21*m + 20*m. Let l be i(m). Which is smaller: l or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 20*c + 9. Give n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-18)\/3*(-17)\/(-255)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252754*y + 53 + 252710*y + 40 to the form p + w*y and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -5. Let i be 0\/(-5 + 7) + -6. Let c be (i\/(-7))\/((-8)\/14). Put c, l, -1, -2 in descending order.\nAnswer: -1, c, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1220*z + 4. Let y(u) = 35*u. Calculate -h(k) + 12*y(k).\nAnswer: -800*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 393086920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/60)\/((-1490)\/(-18625))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 85.6\nAnswer: 1797.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3423568 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49.73 + -52.73. Which is the closest to 1? (a) -29.1 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 4*d + 8. Let o(t) = -4*t**2 + 9*t + 15. Let m(c) = 3*o(c) - 7*u(c). Let s be m(-4). Is (130\/s + -2)\/((-1)\/(-15)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161893310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (306\/850)\/((-9)\/5 + 4 + -2). Which is the fifth biggest value? (a) 0 (b) -6 (c) -5 (d) n (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1 + 3)\/2. Let r(o) = 2*o**2 + 3. Calculate the remainder when r(-3) is divided by -1*(0 + -12 + w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooolkkoooooooooooolk. What is prob of sequence lkk?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 23620*i**2 + 141612*i - 212364.\nAnswer: 4*(i - 5899)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 1835 + 1835 + 3*a**2. Let d(y) = -4*y**2. Determine z(d(u)).\nAnswer: 48*u**4 + 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2816 = 3*r + 2*l - 1519, 1462 = r - 5*l. Is 1445 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccciciiiccci.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 3 + 378*a**2 + 4*a**4 - 356*a**2 - 5 wrt a.\nAnswer: 240*a**3 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + -2 - ((-165)\/27 - (-4)\/36). Let h(l) = 4*l - 30. Determine h(d).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000110110001110 (base 2) in base 13?\nAnswer: 49315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 10*k**2 + 9*k - 13. Let c be s(9). Let g = 84 + c. Let z = 84 - g. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s - 60. Let c be ((-8)\/s)\/(1\/24). List the prime factors of -2 + (c - 4\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*w + 272*w = 168. Let t(p) be the first derivative of -p**2 - 9*p - 1. Calculate t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00460961 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, t: 3}. What is prob of sequence ttt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*n = 10, -3720*n + 3717*n - 35 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3\/4 - 6495*d**2\/4 - 1713159*d\/2 - 1706670 = 0.\nAnswer: -1260, -903, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(1 - (-28)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*f + 21, -5*f + 4*u + 6 = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.734 - 0.034. Let d = 17092\/7 - 2442. Put o, 0.5, -0.1, d in increasing order.\nAnswer: d, -0.1, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -490*d**2 + 244*d**2 - 286*d**3 + 246*d**2 + (-1 + 1 + 2*d**3)*(-5 + 2 + 2).\nAnswer: -288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*3 - sqrt(5) - sqrt(5) - (-2 + sqrt(15)\/sqrt(3) + sqrt(5)))**2.\nAnswer: 116*sqrt(5) + 4209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**4\/7 - 2026*d**3\/7 - 44536*d**2\/7 + 16424*d\/7 + 30144\/7 = 0. Calculate d.\nAnswer: -314, -24, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -135546752*p**3 + 99971747 wrt p?\nAnswer: -406640256*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636120679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {x: 1, e: 4, n: 1, d: 1, i: 3, j: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -10 - 25612\/(6 - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**3\/2 - 67*i**2\/6 - 8*i\/3 + 62 = 0?\nAnswer: -6, -31\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*h*l**2 - 6*h*l*r**3 - 2*h*l*r**2 - 4*l**2*r**3 - l wrt l.\nAnswer: -64*h - 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3404, 3246, 3122, 3050, 3048, 3134, 3326?\n\"Answer: 3*c**3 - c**2 - 176*c + 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (390 + -39)\/39 + (-69)\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64822.05 to the nearest 100.\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001013 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and -81\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/125 + -3)*(-175)\/105?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:15 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*w + 19*w + 29*w - 133*w + 28*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, 2 in decreasing order.\nAnswer: 23, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-72)*((-59920)\/15)\/(-56).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 3*n**5\/4 - 5*n**4\/12 + 3*n**3\/2 + 7*n**2\/2 + 1528*n. Let y(z) = 7*z**3 - 2*z**2 + 4*z + 3. Calculate -4*d(m) + 9*y(m).\nAnswer: 3*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15807.6 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 372\/71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*h + 18, -5*u + 65 = -5*h - 55. Let y(p) = -p**3 + 18*p**2 + 38*p + 45. What is the remainder when u is divided by y(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050991280 rounded to the nearest one hundred thousand?\nAnswer: 3051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (3 + 2)) + -2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13\/2)*(q\/(q\/(q**(-2\/51)\/q)*q))\/q*q)\/(q**(-1\/27)*q*((q*q**(-2\/43)\/q*q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-373253\/39474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*y**2 - 16*y + 3371 wrt y.\nAnswer: 54*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79 and 3?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.973508 + 0.013492. Let f = -28 + j. Let p = 0.327 - f. What is p rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15662993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + v + 15099544 = -41660449, 0 = j + 2*v - 18920000. Suppose 4*l + i + j = 2*l, 4*i = 4*l + 37840008. What is l rounded to the nearest 100000?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(20\/30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -0.5, -0.2 in ascending order.\nAnswer: -5, -0.5, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 12) to base 16\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 864 = -7*c + 2*c, c = 3*l - 659. Suppose -3*q + 7*q - s = 184, s - l = -5*q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -17. Suppose 0*k + 2*c = k + 5, -4*k = 5*c - d. What is the second derivative of -10*b**3 + 21*b + b**k - 4*b**3 - 16*b wrt b?\nAnswer: -78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*r. Let g(y) = -4*y**2 - y**3 + 6*y - 2*y + 3*y**2 - 2*y. Let j be g(-2). Solve r = -s + c - 8, -12 = 3*s + c - j*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - 83. Let t be (-5 + -4)*i\/6. Suppose -18*l + t = -16*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 3*a - 4*a)*(a**3 + a**3 + 0*a**3) + 256*a**4 - 436*a**4 + 325*a**4 + 249*a**4 to the form m*a + x*a**4 + h*a**2 + b + c*a**3 and give x.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) -5803 (c) -1 (d) 20 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -675, 0.3, -350, 0.76, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 15*n + 2. Let w be r(-15). Suppose 3*u - 4*a = 208, -5*u - w*a + 345 = -7*a. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2\/8 + 5847*m\/4 - 11395803\/8 = 0. Calculate m.\nAnswer: 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3502\/5 - -701. What is the closest to v in 2, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 530 - 355. Let a = p - 120. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 1. Suppose -u - 6 = -10. Suppose -p + 4 = i, -2*i + 6 + 8 = -u*p. What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 8*d + 3. Let c be i(8). Let b be (0\/c)\/(-1) - -2. Let g(a) = 10*a**2 - 6*a**2 - 2*a**b. Let k(w) = w. Calculate k(g(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1424 and 356.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 2*h - 10. Let m be q(9). Let x be m\/(-12) + 62\/30. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 16*r + 11*r - 6 = 0, 4*v - r = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:36 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 23\/216*p**4 + 0*p - 11\/27*p**3 + 0 - 1\/540*p**5 + 177*p**2. Factor z(y).\nAnswer: -(y - 22)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**13)**21)**(-6\/19) assuming n is positive.\nAnswer: n**(-1764\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 - 3 = 0. Sort w, 2, -2, -5 in ascending order.\nAnswer: -5, -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 7*b + 18. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66285 and 10665.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 16. Suppose 0 = 2*w + 3*w + 4*o + 42, 0 = 5*w + f*o + 40. Let q = w - -19. Solve -4*p - 11 - q = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 2 x when four letters picked without replacement from qrxrqrrryrrrrx.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -90, 4, 0, 58 in decreasing order.\nAnswer: 58, 4, 0, -21, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x)**(1\/49))**(-1)\/(x**(3\/7)*x**(4\/5)*x**(2\/7)\/(x\/(x*x*x**(-2\/7))*x)) assuming x is positive.\nAnswer: x**(-43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589.258g to tonnes.\nAnswer: 0.000589258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 151 + -3?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 6. Let s be r(3). Suppose s*f + 10 + 8 = 0. Let m(t) = -t**3 - 7*t**2 - 5*t + 2. Let o be m(f). What is the smallest value in o, -0.3, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107865 + 107859. Let n(z) = z - 5. Let m be n(5). Suppose d = -m*o + 3*o + 12, -5*o - 20 = 3*d. Which is the closest to w? (a) 0 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 28*o**3 - 71*o**2 - 73*o - 127. Let z(s) = 10*s**3 - 24*s**2 - 24*s - 44. Let p(d) = 6*i(d) - 17*z(d). Factor p(g).\nAnswer: -2*(g + 1)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.051 - -27.051. Let i = r - 53. Let g = i + 26.012. Round g to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 6*a + 17. Suppose -240*j = -248*j - 56. Determine q(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 times 2.3\nAnswer: 303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 122249859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13914057?\nAnswer: 3, 23, 201653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 174, -4, 2, -5 in increasing order.\nAnswer: -5, -4, -1, 2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2728, 2720, 2706, 2686, 2660, 2628, 2590?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 + -105. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -1\/7*n**2 - 4\/7*n + 5\/7 = 0?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559 and 7896434.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10424 - 13?\nAnswer: 10411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -124452 (base 9) to base 16\nAnswer: -126c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + 3*x - 16. Let r be i(-5). Suppose -45 = 2*k - r. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6589192.873 rounded to the nearest 10000?\nAnswer: -6590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110*c**3 + c**2 + 189.\nAnswer: -330*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -189, -228, -293, -390, -525?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 - 48ad20?\nAnswer: -48ac90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 17088.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(7 - 704\/99).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 354102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Suppose 0*v + 24 = -4*v. Calculate the smallest common multiple of ((-1)\/(-2))\/(v\/(-12)) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -o - 3*r, 4*r - 69 + 29 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + -0.08. Let y = -9.88 + c. Put y, 1, -5 in increasing order.\nAnswer: y, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1883337378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12656933 is divided by 17012.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/6 (b) -0.1 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 2955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/9, 11\/4, 1, -3\/4 in decreasing order.\nAnswer: 11\/4, 1, -2\/9, -2\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 - 151. Let q be 171\/76*x\/30. Let q*s**4 + 0 + 0*s - 3\/5*s**3 + 0*s**2 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - 2*(sqrt(396)*2 + sqrt(396)) - -5*(2 + sqrt(396)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 9*y + 11, 2*q + 5*y = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/9 - 10408*d = 0?\nAnswer: -93672, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i*k**5 + 2*i*k**4 + i*k + 221*i wrt k.\nAnswer: -520*i*k**3 + 24*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -46477*u**2. Let l(z) = -17*z**2. What is l(h(q))?\nAnswer: -36721895993*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 5*s + 120. Calculate the least common multiple of s and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 65*s + 113 = 0, -23 = 2*c + 7357177*s - 7357176*s for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = -5*w, -3*g - 2*w = -0 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -13. What is the least common multiple of 164 and z?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10633040*n**3 - 38880*n + 88 wrt n?\nAnswer: -63798240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37229 and -270.\nAnswer: 36959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 32\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, h: 2}. Give prob of sequence wwh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.79 - -0.99. What is the closest to 2 in -2\/7, x, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 2 = 0, -5*p + 3*k = 26. Let v be ((-18)\/(-27))\/((-4)\/(-48)). Suppose 0 = -447*w + 458*w - 55. Sort 3, p, v, w in increasing order.\nAnswer: p, 3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/2611 - -2635\/5222. Let h = -6 + 9. What is the third biggest value in h, 10, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2674611?\nAnswer: 2\/2674611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-1))\/l)*l*l)**(-2\/39))**17\/(l**(4\/5)\/l**3*l**(-2\/3)*l*(l*l*l**(-2\/7)*l*l*l*l)\/l) assuming l is positive.\nAnswer: l**(-2089\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -40?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -0.0626694080752\nAnswer: -23.9373305919248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 4*x + 1. Let g(d) = -d. Suppose -9 = 9*u + 9. What is u*g(i) - p(i)?\nAnswer: i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39573?\nAnswer: 3, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*o**2*q**3 + 10*o**2*q**2 - 17*o**2 + o*q**3 - 703*o wrt o.\nAnswer: 38*q**3 + 20*q**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 129748100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415081 = 53*r - 1019470. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*q**2 + 50 + 72*q - 175*q**2 - 17*q.\nAnswer: 5*(q + 1)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 469, 468, 467, 466, 465?\n\"Answer: -c + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62\/161 + 1\/23. What is the third biggest value in 5\/4, t, 1, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 + (-98)\/(-420). Sort 0.1, -4, q in descending order.\nAnswer: 0.1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -25, -5, 64, -19 in descending order.\nAnswer: 66, 64, -5, -19, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/3*-9 + 12)*2403\/(-1)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 * 2580.74\nAnswer: 905839.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85247588 divided by 5.\nAnswer: 85247588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:50 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 13724*b + 13722.\nAnswer: 2*(b + 1)*(b + 6861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 92556 = -37602. What are the prime factors of y?\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 11*f**2 + 59*f - 292. Determine k(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s**2 + 5*s - 4. Let m = 654 + -656. Let d(q) = 4*q**2 + q - 1. Calculate m*r(v) + 9*d(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*a + 18. Let n(c) = 4*c**2 + 3*c**2 - 6*c**2 - 5*c - a. Calculate n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2 - 7\/(-4)). Suppose 5*g + 0 - 20 = h. Solve 5*t + 1 = g*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107249 (base 12) in base 3?\nAnswer: 111021101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.7088 centuries to months.\nAnswer: 258850.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -454131 < -454131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 43035894.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*x = 24, 0*r + 5*x = r. Let v(o) = -o**2 - 7*o - 11. What is v(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8979 is divided by 111.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181988*c**5*z - 520*c**2*z + c - z - 9 wrt c.\nAnswer: 10919280*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 19 = 15. Suppose n*k - 8*k - 990 = 0. What is the tens digit of (-2)\/(-1 + k\/(-170))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -30*n + 3. Suppose -m - l + 51 = 0, 3*m - 5*l = -n*l + 177. Calculate the lowest common multiple of 36 and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -18. Calculate the remainder when z is divided by -5 - (-1)\/(6\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(44)\/sqrt(4) - (-1 + -1 + sqrt(11)))**2*4 - ((-3*sqrt(110))\/sqrt(5))\/(sqrt(2)*1*-2 - sqrt(2)).\nAnswer: -sqrt(11) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 3, m: 1, g: 4}. What is prob of sequence qb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-146)\/4 + (-4)\/(-8). Let j(t) = 16*t - 4. Let d be j(-3). Let m = k - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093380945 rounded to 7 dps?\nAnswer: 0.0009338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 14 - (4 + -9 - -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-236)\/6*(5358\/(-2104) - -3). Let i = y + 1\/789. Find the common denominator of i and (-3)\/4*(-146)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45, 2515, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n - 16. Suppose -3*g = 3*v - 7 - 20, 2*g - 21 = -5*v. List the prime factors of w(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-835)\/(-7) - (0 + (-8)\/(-28)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/10746750 and 27\/12460?\nAnswer: 21493500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k - 5. Let b(r) = -3*r + 2. Let i(n) = 5*b(n) + 3*d(n). What is the units digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8012773 + 7*y**2 - 10*y**2 - 8012773.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b. Let a be s(1). Let c = a + -6. Find the first derivative of -w - 4*w - 1 + 3*w - c*w wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 268223104 to the power of 1\/2, to the nearest integer?\nAnswer: 16378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a + 4. Let w be m(5). Let p = w - -44. Factor 0*u - 3*u - p - 2*u**2 + 6*u + 9*u.\nAnswer: -2*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from jfffjjfjfffj.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 38*z + 27*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/12 (b) -3\/8 (c) -4\/5 (d) -0.5479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26072925 divided by 42395\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 141055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -944 + 50499\nAnswer: 49555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 8*p**2 + 8*p - 13. Let b be a(-9). Let d = 8 + b. Solve 4 = -d*u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165f39 (base 16) in base 11?\nAnswer: 911611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:47 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59703747 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((11 - 29) + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 7, k: 2}. What is prob of sequence nkk?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -1619498.\nAnswer: -64779.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 22 = 4*u - 108, -2*k = -5*u + 94. Let v = u - 14. What are the prime factors of 37*-3*(v\/(-3) - -1)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57582 divided by 2?\nAnswer: 28791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 16, 3 in ascending order.\nAnswer: 3, 5, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34984*o = 35798*o - 19536 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:29 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1 + 0 - 1 + 1. Let o(n) = 2*n - 8. Let q(k) = o(k) + 6*u(k). Let m be q(3). Calculate the highest common factor of m and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 + 417 = 10*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {e: 4, k: 6, i: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -514398 - -514397.95900095. Let p = r - -0.041. What is p rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18094 divided by -18094\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let o = 6 + -5. Let c(i) = 47 + 18 + 1 - 27 + 2*i. Let a(w) = 2. Let y(j) = o*c(j) - 6*a(j). What is y(n(l))?\nAnswer: -2*l + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459 + 963. What are the prime factors of (1 - 12\/15) + i\/30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24135, -23746, -23357, -22968, -22579?\n\"Answer: 389*r - 24524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2487110956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 8:16 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 10\/(-4) - 4. Which is the closest to 1? (a) 7 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 150. Suppose -2 = l + 2*b - s, -10 = -5*b. Sort l, -53, 5 in increasing order.\nAnswer: -53, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 6\/679 (b) 23 (c) 0.5 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -630.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**2 + 11*w**3 - 485 + 485 wrt w.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5172053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2099 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 8*d + 6*d + 8*d - 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 67?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1032 divided by -172\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2768 and -35\/9342.\nAnswer: 74736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:22 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -248a56 (base 11) in base 3?\nAnswer: -201221112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -271*u + 37. Is t(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:35 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2574 is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6)*-331)\/(2\/(-4)). Suppose 0 = -7*i + 6*i + t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78822 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 3748*w + 85176. Determine p(-23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*n + 9 = 2*u, 4*u - 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/4 - 3*r**4\/4.\nAnswer: -r**4*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 222*u**2. Let d(z) be the second derivative of -7*z**3\/6 - 16*z - 36. Give d(t(y)).\nAnswer: -1554*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/29)\/(r*r*r\/r**(-20\/3)))\/((r*(((r*r**(-7)*r)\/r*r)\/r)\/r*r)\/r**(-17)) assuming r is positive.\nAnswer: r**(-1879\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {d: 2, l: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 2635*l - 1316*l - 1319*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -425\/6 or -3\/2?\nAnswer: -425\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -20936701 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274\/2317053 or -1?\nAnswer: 274\/2317053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 34. Let g(y) = -2*y + 20. Calculate 2*f(t) - 5*g(t).\nAnswer: 6*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 10, 1, -0.4, 2, 21 in ascending order.\nAnswer: -265, -0.4, 1, 2, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112222011 + -2?\nAnswer: -2112222013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let y be g(4). Suppose 0*x = 2*x - 2*p - 10, x - 2*p - 4 = 0. Let b be (-2)\/x*(-4 - 12\/(-3)). Solve -3*q - 4*k = -b*q - 26, -y*q - k = -13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c + 37*c = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + 1 + 3 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r - 5. Let a(n) = 3*n + 3. Let o(q) = -6*a(q) + w(q). Let f(h) = -h. Give o(f(j)).\nAnswer: 2*j - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97041\/44 + 8805\/4. Let o be -2 - 3*(-365)\/(-15). Calculate the common denominator of (-95)\/o*(-6)\/(-8) and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10660717933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 33*j**2\/2 - 112*j + 294.\nAnswer: -(j - 2)*(j + 14)*(j + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2930000878 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -120, -168, -216, -264?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 74*f**2 - 20*f - 6. Let h be k(-8). Let x be (216\/(-30))\/(9\/h). What are the prime factors of x\/(-22) + 4\/22?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11746292 to the nearest integer?\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = -3*s + s, 3*s - g = -16. Let q(m) = m**2 + m - 5. Let d be q(s). Suppose 4*b - 9 = d. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -0.6070838.\nAnswer: -23.6762682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 2, -3\/2, -22 in ascending order.\nAnswer: -22, -3\/2, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -10. Let k = 13 + -12.4. Let x = k + -0.9. Which is the third smallest value? (a) 1\/2 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/48*8*(-5 + 1). Solve 2*i = -4, 3 - 5 = -u*k - 2*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b - 839 = 394, 4*r + 2*b - 1644 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001002 + -1?\nAnswer: -1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.6, -62, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 985?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2918, -2, -3, 57, 5, -4 in descending order.\nAnswer: 2918, 57, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(o + 2 - 2) + 5*o - 5*o + o + 11*o + 2*o - 2*o - 3*o - 6 + 6 + (6*o - 2*o - 3*o)*(1 - 4 + 1) + (-1 + o + 1)*(2 - 1 + 1) + 2 + 2*o - 2.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -38*p**3 + 3*p**2 + 3*p - 3. Let x(a) = -49 + 231 + 19*a - 287*a**2 + 43*a + 105 - 349*a + 3649*a**3. What is 287*f(l) + 3*x(l)?\nAnswer: 41*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -83d (base 16) to base 14\nAnswer: -aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 4*g**3 - 2*g**2 - g + 4*g to the form z + i*g**2 + d*g**3 + b*g and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/3 + 16*z**3 + 194*z**2\/3 - 2328*z - 2376 = 0.\nAnswer: -11, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 45276.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(6\/12 - 1). Solve -n = -3*y + 7, -b*y + 17 = 2*n + 2*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f*o**3 + 9*f*o - 10*f + 120*o**3 - 3*o**2 wrt o?\nAnswer: -24*f + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3282 (base 11) to base 16.\nAnswer: -10e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 2*b - 11, -4*u - 1 = -36*b + 35*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i**(-4)*i)\/i))\/i*i*(i\/i**(-2\/5)*i*i)\/i*i\/(i**2*i)*i*(i*(i\/i**(3\/10))\/i)\/i*i)**16 assuming i is positive.\nAnswer: i**(648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6)**(-30)\/((i\/i**(-11))\/i**(1\/4)) assuming i is positive.\nAnswer: i**(-767\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -70, -16, 266, 890, 1970?\n\"Answer: 19*z**3 - 79*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -148, -166, -196, -244, -316, -418?\n\"Answer: -l**3 - 11*l - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 55 + -59 - ((-1 - -2) + -38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*92*(94695\/428)\/(-177).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -346658, -693188, -1039718, -1386248, -1732778, -2079308?\n\"Answer: -346530*y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 greater than or equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149.35 + -321.16. Let m = 173 + d. Let j = m - 1.19. Which is the closest to -0.2? (a) j (b) 0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 - 89 - 4*f - 3*f + 177 + 5*f - 326*f**3 in the form x*f**2 + r + o*f**3 + u*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 44*d**3 - 662*d**2 + 18*d + 2. Calculate y(15).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1044\/45 + -24)*10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17623968\/55 - 12\/66)\/(-24). Let j = -13353 - g. Calculate the common denominator of (-3)\/20 + 0 + -1 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1443557 + 403*f**2 - 1443557 + 7*f - 7*f.\nAnswer: 403*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*m - 2791, -870 = -3*k - 5*m + 775. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -748 - -739. Let c(d) = 2*d**2 - 18*d - 58. Let y be c(a). Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1624 and -83\/1044?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711 (base 16) to base 2.\nAnswer: 11100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 t when four letters picked without replacement from {a: 7, t: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1067)\/55 + (-2)\/(-5))*1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3560 + 2600 = 489*x - 569*x for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 2 k when four letters picked without replacement from kykguik.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 - 17*c**2 + 7*c + 5. Let o(m) = 3*m**3 - 8*m**2 + 4*m + 2. Let t(x) = -2*b(x) + 5*o(x). Let p be 2\/8 - 133\/(-28). Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -67 + 18 = -4*n + m, v = 3*n - 5*m - 24. Suppose -33*y - 1442 = -14*y - 4159. What is the highest common divisor of n and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11450385 divided by -3816795?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6*18*18\/(-3888))\/(321\/(-12))\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2 - 7 - 5*i + 0. Let l be g(-2). Solve -l*j = -3 + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001061 to 6 decimal places.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {s: 2, b: 1, g: 2, h: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13267*g - 134625. Calculate b(-10).\nAnswer: -1955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbxmrebmbpmmmmrbebrr. What is prob of sequence ee?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8452 + 12910. Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97031*b - 98331*b = -135200 for b.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125856?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asy when three letters picked without replacement from {o: 1, a: 5, y: 2, s: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 122.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 6*o + 14. Suppose 2*y + 4 = 4*f, 6*f = 4*y + 4*f - 10. Let m be t(y). Calculate the greatest common divisor of m and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, -7, 0, 8 in descending order.\nAnswer: 16, 8, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - i + 62 = 0, 2*i - 56 = -3*b + 5. Calculate the greatest common factor of b and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787 + 1152. Let d = -132 + j. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030976.\nAnswer: 2, 3, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - -48. Let s = 185 - 96. Suppose 0 = 5*l - 26 - s. Calculate the remainder when w is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 + 615. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 - c**2 + 2*c**2 - 3*c**2 - 6*c**2 + 32*c**3 + 31*c**2.\nAnswer: 32*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*x + 1 = 5, 0 = 3*x - 3. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 4896.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.126, -1\/9, -0.5, 2 in descending order.\nAnswer: 2, 0.126, -1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3724 (b) 0.4 (c) 2 (d) 3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -97. Let y be (24\/m)\/(4\/490). Suppose -5*u + y + 222 = 0. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/20)\/((-11)\/330*-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*g - 467*g + 916*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45 - 5\/(-2)*8\/10. Let n = u + -24. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, f: 3, p: 9}. Give prob of sequence pufu.\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let k(p) = 6*p**2. Let a(f) = -4*k(f) + 21*v(f). Let r(m) = 48*m + 22. Let s(h) = -9*h - 4. Let y(z) = -2*r(z) - 11*s(z). What is y(a(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*w**3*z**2 - w**3*z - w**2*z - 3*z**2 - 456 wrt z?\nAnswer: -534*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1348 (base 10) to base 5\nAnswer: 20343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 546732601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170887585 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: Is 601 a factor of 50889675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 111. Solve 0 = 5*g - 20, -s - w*g + 16 = -0*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 749 - -457. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-3))\/(28\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*v + 0)*(-2 - 2 - 3 + (-2 + 3 - 3)*(4 - 3 - 2) - 8 + 4 - 9 + 3 - 3 - 1) as w + x*v and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -0.15, 1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Suppose -a - 3 = -l. Suppose -3*c + 4*c = l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -1*(-7 + 4). Suppose k = -3*w + 3*l - 36, -3*w + 2*w - 5*l + 6 = 0. Let t = w + 11. What is the third biggest value in t, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 10 + 8)*(2*t + 1 - 1 + (-t + 1 - 1)*(4 - 1 - 2) + 0*t + t - 3*t + 2 - 2*t - 2 + 2 - t - 2).\nAnswer: 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - -30) - (103 + 351050\/(-4500)).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70826, 283442, 637800, 1133870, 1771622, 2551026?\nAnswer: 3472052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102636480 divided by 1020?\nAnswer: 100624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 6*z + 6. Let t(v) = -v**2 + 3*v - 3. Let a(n) = 3*b(n) + 6*t(n). Let l(o) = -61*o - 2. Determine a(l(p)).\nAnswer: 11163*p**2 + 732*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -989*i**5 - 26*i**2 + 2*i.\nAnswer: -59340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 7. What is f(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 1 - 16. Let o = 52675 + -52679. What is the second smallest value in o, -6, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -2, 8 in decreasing order.\nAnswer: 8, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 42. Does 3 divide u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 3}. What is prob of picking 1 t and 2 s?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/18)\/(1\/(0 - 2)). Solve 11 = -m*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) -7.81144 (c) -2 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = -6804 + 23653. Calculate the smallest common multiple of h and 415.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1995 + 1978.665. What is c rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2508)\/(-165) - 6\/20*(-16)\/(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 3 + 3)*(q**2 - q + q) + 2*q**3 + 3*q - 14*q**2 + 14*q**2.\nAnswer: -2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1501 + 1881. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2\/15 (c) -5 (d) 0 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 50 = 74*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and (2\/3)\/(13 + 518\/(-42))?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -17\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x - 17. Calculate g(8).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -52 + 10. Let m be 690\/18 + 2\/x. Let c be ((-38)\/(-3))\/((96\/(-54))\/(-8)). What is the highest common divisor of m and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 3*i - 1. Let w be (48\/32)\/(6\/(-8)). Let g(q) = -q**2 + q. Let m(o) = w*v(o) - 6*g(o). What is the first derivative of m(j) wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -7 - 5. Let b = -4 - c. Differentiate -m - 2 + b*m + 2*m wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 199198069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 0*q + 2*q + (15 + 3*q - 2 - 10)*(37 + 71 + 200 + 64).\nAnswer: 1114*q + 1116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (0 - (5 + 3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83463189 or -3?\nAnswer: 83463189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57421325 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 17 = 10*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3187915 rounded to four decimal places?\nAnswer: -0.3188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 99.9. Let x = q - -3.8. Let h = 0.23 - -0.07. Which is the closest to 0.3? (a) -0.5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*1)\/sqrt(3) - ((1 + sqrt(3))*2 - sqrt(6)\/(sqrt(2)*1))**2.\nAnswer: -7 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2. Let h be (-10)\/(-2) + (-4 - 0). Let z be m(h). Solve -z*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*m - m = 8, -3*m + 10 = -f. Let r(x) = 0 + 1 - f*x + 8 - 3. Calculate the lowest common multiple of 1 and r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/40 + p**5\/60 - 4*p**2. What is the third derivative of l(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/23 + 18720*z**2\/23 + 58406400*z\/23 + 60742656000\/23 = 0.\nAnswer: -3120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {w: 3, z: 11, d: 1}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4\/3 - 340*m**3\/3 + 2272*m**2\/3 + 42928*m\/3 + 13440 = 0.\nAnswer: -90, -8, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 25. Let o = 55 + k. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 121*b**2 + 251*b + 32. Give t(123).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -841457 and 55.472972.\nAnswer: -841401.527028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -9 + 0*s - 2\/3*s**3 + 0*s**2. Let g(l) be the second derivative of -11*l**3\/6 - l. Give g(i(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 572 - 571. Solve -2*p - x - u = 0, p - 4*p + x - 9 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 - 3*l. Let s = -77 + 80. Let d(z) = 7*z**2 - 2*z. What is s*d(w) - 2*q(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/(172\/1032)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:28 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 16*h**2 - 6*h - 15. Give u(8).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1377) - (sqrt(1377) - 5*sqrt(1377))) - (-5 + (sqrt(2057) - (-4 + sqrt(2057)))**2).\nAnswer: -14 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**8\/224 + j**7\/84 - j**6\/120 + 3*j**2 + 3. Let f(n) be the second derivative of v(n). Let f(m) = 0. What is m?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -8. Suppose s*f = 5, g + 2*f - 1 = 3*f. Find the third derivative of -p**2 - p**5 + 0*p**5 + 2*p**g wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 30. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5*m + 30 = 0. Let i(g) = -506 + 21*g**2 - 8*g + 506 - 22*g**2. Determine i(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 2. Let h = -24 + 17. Let b = -6 - h. Sort u, b, -0.3 in descending order.\nAnswer: b, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/66)*b**(-1\/44))\/(b**(-1\/12))**(-2\/79) assuming b is positive.\nAnswer: b**(-139\/3476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 155 = 12*w. Let p = w + -14. Solve -3*n + 24 = 4*x - 0*x, x + p = 5*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3 + 3)*(-10 - 7*b + 10)*(1 - b**2 - 1).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1344 and 952453056?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (-4 + 1) - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15428 from 5474498.\nAnswer: 5459070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249896 is divided by 525?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73320 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1246)\/(-15) - 7328\/6870\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3 - 7 + (3 + 2 - 6)*(2 - 1 + 1))*(1 - 1 + h).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6624105 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905, 860, 781, 668, 521?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*k + 32 = 554*k. Solve -k*s = -7 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 187625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3 + 5. Find the common denominator of (-75)\/(-27) + -3 + n and -87\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {h: 1, n: 1, q: 2, y: 3, c: 10}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, -1, -3, 1, 57, -50 in decreasing order.\nAnswer: 57, 5, 1, -1, -3, -22, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-670)\/4)\/(1038\/(-111)). Let l = 28\/173 - m. Calculate the common denominator of l and 7\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 1. Let w be f(-1). Suppose w*k = k. Suppose k = 2*p + 3*p - 3895. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 276, 272, 266, 258, 248?\n\"Answer: -k**2 - k + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52405516*q**3 + 32397*q - 111 wrt q?\nAnswer: -314433096*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14400667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 18 = 4*b + 4*h, 4*b + 12 = 4*h. Suppose 3*z - 6 = -b*x, z - 3*z + 2*x - 6 = 0. Put 11, z, -1, 5 in decreasing order.\nAnswer: 11, 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-110))\/(0 + 5 + -4 - 5)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h - 18*h - 29*h - 84*h.\nAnswer: -189*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 12 + 8 = 4*j, 2*j + 5*y - 7 = 0. Put -2, -384, j in decreasing order.\nAnswer: -2, j, -384","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -125*l**8\/336 + 11*l**4\/12 + l**3\/2 - 27*l**2. What is the second derivative of x(p) wrt p?\nAnswer: -2500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-35)\/((-2100)\/(-1728))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 0 - 1 = 2*h - 5*h, 5*h + 62*r + 3722 = 3489 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 16*x**2 + 63*x - 3. Let p be i(-7). Calculate the remainder when 98 is divided by ((-5)\/(-2) - 2)*p*-30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-10)*11\/231?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -12, -50, -116, -216, -356, -542, -780?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 1, 2 in increasing order.\nAnswer: -3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7 take away -478097175039?\nAnswer: 478097175031.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 15, -2*x - x + 2 = -2*w. Let j be (-5*1)\/(x\/(-16)). Let m = 33 - j. What is the remainder when 38 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 580 - 256 - 322 + 507*b + 5*b**3 to j*b**3 + u*b**2 + x + c*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.89991 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9192 and 27959.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 170*h + 21929. Determine a(-129).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10 = -0*l - j, 5*j - 13 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -344, -469.\nAnswer: -469, -344, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206609, -206618, -206633, -206654?\n\"Answer: -3*r**2 - 206606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6daa (base 14) to base 2.\nAnswer: 100101011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*f - 7 = 7*l, 3*l = -5*f + 55. Suppose 0 = -16*x + l*x + 44. What is the lowest common multiple of x and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/20, -2\/5, 2.81, -2 in ascending order.\nAnswer: -2, -2\/5, 1\/20, 2.81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020342 + 2?\nAnswer: -1020340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.01, -0.2.\nAnswer: -0.2, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.912754 millilitres to litres.\nAnswer: 0.003912754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111020210 (base 3) to base 16.\nAnswer: 25bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-167)\/(9686\/(-3132)) - 45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87138889 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p - 9. Let t(k) = 14*k - 11. Let f(i) = -5*h(i) + 4*t(i). Determine f(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.5 and -4.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6603 + 7044. Calculate the lowest common multiple of i and 24.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 2:22 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:02 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6423230 and 1284646.\nAnswer: 6423230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 34. Does 34 divide k(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/3 + 116488*w**3\/3 + 845521360*w**2\/3 - 12485809048*w - 69470203740 = 0. Calculate w.\nAnswer: -14583, -5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233*f**3 + 798*f**3 - 1123*f**3.\nAnswer: -1558*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141355 - -141358. Suppose -62500\/3 - 4\/3*i**c - 2500*i - 100*i**2 = 0. Calculate i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 3)**2*3 + -1 - ((sqrt(1300) - (4 + sqrt(1300) + -2)) + (sqrt(1300) + 0 + -2)**2).\nAnswer: 220*sqrt(13) + 2624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*(2\/3 + (-175)\/240)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 79590 - 870 = -11*q. What are the prime factors of q?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 + 7*n - 6. Suppose 0 = -v - 5, -v - 18 = -2*q + 11. Let z = -19 + q. Determine w(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 1712*c**2 + 74328*c + 155520.\nAnswer: 2*(c - 810)*(c - 48)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, x: 3, t: 4, e: 1, u: 5, y: 1}. What is prob of sequence ytx?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 7*q + 826 = 0. What is the remainder when 231 is divided by q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h + 1. Let c be u(1). Suppose 0 = -a - 2 + c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56163262*y**2 - 4947690*y.\nAnswer: -112326524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.1354691 microseconds?\nAnswer: 0.00000000198207475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37b969 (base 12) to base 6\nAnswer: 31314213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sis when three letters picked without replacement from {i: 3, b: 9, s: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*(4 + -4) + 3. Suppose 5*q = 4*u + 85, 2*u + c*q = 8*q - 35. What are the prime factors of ((-30)\/u)\/(4\/410)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3505830 - -3505838.000001. Let j = -4 - 4. Let i = k + j. What is i rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 6*q = -34, -5*m + 87*q + 16 = 47*q + 41*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pexe when four letters picked without replacement from pexexeexexeexxeee?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 + s**2 - 8*s**2. Let m(o) be the third derivative of -o**4\/24 + 200*o**2. Determine g(m(j)).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 216, 2\/3, 0.2?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 - 42. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60372578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h - 2. Let r be n(3). Suppose 5*z = -24 + r. Suppose 3*i + 774 = 4*t, 252 = z*t - 4*i - 140. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231 - 314463?\nAnswer: -314714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8216576\/40320)\/34 - ((8 - -1) + (-12)\/4).\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 21*g + 10. Let n be u(10). Suppose -35*p + 27991 + 8759 = n. Is 75 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/2 - 199*s**2\/2 + 401*s\/2 - 201\/2 = 0.\nAnswer: -201, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(-3 + sqrt(5) + (sqrt(5) + 1 - sqrt(5)))*1.\nAnswer: -24*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**2\/15 + 332*h\/15 - 32\/5 = 0. Calculate h.\nAnswer: -24, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 104 + (-119 - (16 - 85))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 + 6 - 3 - 14*h**2 - 5*h**3 + 2*h**3. Let k be q(7). What is the third derivative of -11*y**3 - y**2 + 4*y**3 + 3*y**k + 20*y**3 wrt y?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 22*f**2 + 2*f - 2. Let q be z(1). Let n = -18 + q. Suppose 0*o + 16 = n*o. What is the remainder when 9 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 10 (c) 136353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259\/136 + 26\/17. Suppose 4*r - 4*s - 12 = 0, 3*s + 9 = 2*r - 1. Let n = r + 2. Do f and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 445 - 192. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100429024 by 35066.\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -84*q + 81*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*q = -5*t + 148*q - 12, 3*t + 2*q = -12. Solve t = -11*s + 11*s - 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4, 4, 28615, -0.5, -1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 - -4) + (-192)\/(-27). What is the nearest to -0.2 in 0.3, -0.2, -1\/9, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.435182 millimeters?\nAnswer: 0.1435182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*l + 439, 4*s - 3*l - 271 = 91. Let u = s + -44. What is the remainder when u is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + m - 3*m - m + 0*m + 0*m + (2 + 2*m - 2)*(5 - 1 - 3) + (2*m + 0*m - m)*(-4 + 4 + 3).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 10 + 9. Suppose -29 = -g + 5*u, 3*g + 12*u + 79 = 31. Solve -g + f = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/(-40)*-4*7\/(-4) and -29\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -25*u - 44. Let z(q) = -13*q - 22. Let f(i) = 6*j(i) - 11*z(i). Let o be (-18)\/8*864\/(-324) - 23. What is the tens digit of f(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -52)*70\/3. Let n = m + -275. Suppose -15 = 3*p, -4*j + p + n = j. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 - 2*d**2 - 22*d - 2. Let m(r) = -r**2 + r - 1. Calculate 2*m(k) - v(k).\nAnswer: 5*k**3 + 24*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214034, 214032, 214030, 214028, 214026?\nAnswer: 214024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39944 - -39944.4. What is the smallest value in n, -259, 5, 7, 0.5?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 1899*h + 5694.\nAnswer: (h + 3)*(h + 5694)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, -1, 5.949, -13 in decreasing order.\nAnswer: 5.949, 0.3, -0.3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5921? (a) 1635 (b) 0 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35001923 a multiple of 1489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 16\/12136185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19077810 and 8256?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 6*h**2 + h - 5. Let w be t(6). Let a = -2 + 7. Factor g**4 - 2*g**4 + 4*g + 2*g**2 - 3*g - w + 0*g - 2*g**3 + g**a.\nAnswer: (g - 1)**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15463.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 3*s - 9. Let w(j) = 15*j**2 - 8*j - 19. Let t(c) = 2*w(c) - 5*y(c). Suppose u = -u. Does 5 divide t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2249 and 692?\nAnswer: 8996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 464916 = 5*q - 111*q. List the prime factors of q.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*r**3 - 103*r**3 + 177*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/18 + u**5\/3 - u**4\/2 - 4*u**3\/9 + 4*u**2\/3 + 11. Factor r(o).\nAnswer: -o*(o - 2)**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 73, 135, 217, 325, 465?\n\"Answer: v**3 + v**2 + 38*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645308350 to the nearest integer?\nAnswer: 25403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 120 and 598\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 8*a - 5. Let g be f(-8). Let z = g + 3. Is 7 a factor of (37\/4)\/(z\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/6)\/((-6)\/(-8)). What is the greatest common factor of 24 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*50\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose -4*h - n*w = -9*h + 25, 4*h = w + 5. Suppose -4*r - 25*r = 0. Solve h*k + 5*k + 5 = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3293883770 and -29.\nAnswer: 3293883741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*u = -4961, 5*j + 4*u = 8*j - 2961. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-57)\/(-169)) - -9\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/48841 and -4\/1547?\nAnswer: 341887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30829?\nAnswer: 30829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12617292 and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + 5 + -8. Let x = u + 15. Suppose -3*d = -c - 6*d - x, -4*d - 20 = 5*c. Solve c = 4*f - 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11547902 is divided by 40377?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/23 in -205, 0.5, 0.4, 21.9, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/42*(7 + (-1862)\/285)*5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/(-4 + 0). Let g be ((-3)\/2)\/((-54)\/24). Sort g, m, 3.\nAnswer: m, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**4\/2 + 31*m**3\/3 + m**2 - 105*m + 2875. Find the second derivative of k(h) wrt h.\nAnswer: 36*h + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - l = -2 + 15, 2*a = -5*l - 21. Solve -a*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*w**3 + 11290*i**2*w**2 - 3*i - 269*w**3 - 94*w**2 - 3 wrt i.\nAnswer: -2*i*w**3 + 22580*i*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -110. Let v = 24 + -8. What is the remainder when q is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14474.\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*y - 20, 0 = -5*m - 10 - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31950 - 26022 = -104*z for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 79*y**3 + 2059*y**2 - 17661*y.\nAnswer: y*(y - 29)**2*(y - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53752181 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33009473 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9537, 9298, 8617, 7266, 5017?\n\"Answer: -38*s**3 + 7*s**2 + 6*s + 9562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5810072 and 180624?\nAnswer: 34860432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-71)\/(-115) - ((-190)\/(-25) + -7). Let p = -446\/805 - n. Which is the fourth biggest value? (a) -0.4 (b) 1 (c) p (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10273729?\nAnswer: 17, 59, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.37 - -0.27. Suppose 4*v + 5 - 1 = 0. Which is the closest to v? (a) 2 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (90 - 90) - (7 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-448)*(-14)\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824864322?\nAnswer: 2, 3, 41, 3353107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (38 - 54 - 2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1249 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35005, 69993, 104981, 139969, 174957, 209945?\nAnswer: 244933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 513 in decreasing order.\nAnswer: 513, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/7, 0, 3028, -5, 1, -10 in increasing order.\nAnswer: -10, -5, 0, 3\/7, 1, 4, 3028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 + 16*x - 5. Let q be g(12). Suppose 5*d - 7 = q. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29043*f - 8990 = 28888*f for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 912 = 8052. List the prime factors of o.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/337 bigger than 0.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 108*a**2 + 47 - 22 - 19 + 3*a**2 - 5*a + 12*a. Is h(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225358*l**3 - 7*l - 29185?\nAnswer: -1352148*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.5 + -11.88. Which is smaller: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-19)\/(p\/((p\/p**7)\/p)*p\/p**(-2\/7)) assuming p is positive.\nAnswer: p**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*h + 105*h + 198. Let k(d) = -3*d - 77. Let x be k(h). Is x > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84064 and 301608?\nAnswer: 44637984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 40 = -2*q, 5*q - x = -31 + 95. Let y(g) = 10*g**2 + 2*g + 2. Calculate the smallest common multiple of y(-1) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*3*-2 - (sqrt(5)*-1*3 + sqrt(5) + sqrt(5) + -4))**2.\nAnswer: -40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + v - 16, 1 = -4*v - 7. Let q be (-4)\/(-26)*t\/(-4). Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4136 = 2*i, 4*k - 10*k - 6231 = -3*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18533*s - 19502*s - 912*s**2 + 900*s**3 + 36227*s + 4*s**4.\nAnswer: 4*s*(s - 2)*(s + 1)*(s + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v + 156*v - 87*v + 456 = 0 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8032 - -21053. List the prime factors of f.\nAnswer: 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Let o(s) = -5*s - 57. Let h(f) = 20*f + 228. Let m(k) = -2*h(k) - 9*o(k). Calculate the remainder when v is divided by m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.756 + -0.556. Which is the second biggest value? (a) f (b) -0.5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*o, 2*o - 7*o = -5*m. Let w(u) be the first derivative of -u**3\/3 + u**2\/2 + 4*u + 1. Is 4 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/17, 1\/6, 0.8, 0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*c = -126*c + 26100. Is c a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.6 - 22. What is the closest to 7 in n, -3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -20*l**3 + l**2 - 1. Let q be o(-1). Find the third derivative of -9*t**2 + 2*t**2 - 4*t**2 + q*t**6 wrt t.\nAnswer: 2400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40524 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012021 (base 3) to base 12.\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.565 + -0.5949. Round p to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 10*c**2 + 3*c + 23. Give k(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 3*d + 2. Determine p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 - (-4 - -5))*0. Let f(o) = -o. Let t(r) = 8 - 8 + 3*r. Let w(v) = 11*f(v) + 4*t(v). What is w(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -77049?\nAnswer: -77045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a - 6*a + 2*a)*(-3 - 4 + 0) + 4*a - 5*a - a)*(-6*a**2 + 3*a**2 + a**2)*(0*a**2 + 5*a**2 - 4*a**2).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 68*s**2 - 68*s - 49. Give r(35).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-4))\/4 - (-1 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37647, 37611, 37573, 37533, 37491, 37447?\n\"Answer: -f**2 - 33*f + 37681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2227, -4271, -6315, -8359, -10403, -12447?\nAnswer: -14491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*j - 35*j = 4480 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 448*l**2 + 8 + 254*l**2 + 40*l**3 + 192*l**2 to k*l**2 + u*l + g + m*l**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -24*h**5 + 694*h**4 + 60*h**3 - 58*h**2 = 0.\nAnswer: -1\/3, 0, 1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p**(-1\/3)*p))\/p)*p)**(-4\/21))**(-31\/2)*(((p*(p\/(p**(-2\/7)*p))\/p)\/p)**(-2\/97))**(-18) assuming p is positive.\nAnswer: p**(46492\/6111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 - 85 = -8*o + 4*o + 3*r, 0 = 3*o + 41*r - 2445 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/2640 and -39\/1760.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -333909 (b) -0.03 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -384.\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 323, -0.1, 170, -0.5?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*j**3*z**2 - 21*j**2*z**2 - 5*j wrt j?\nAnswer: 1374*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2 + -10 - 2*(-26637)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -i + 10 + 21, c - 35 = -5*i. Suppose 12 = -0*m - 5*m - 3*u, -3*u - 12 = 0. Solve m = 2*b + b + i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3925 - -3563.8. Let t = d + 361. Is -22 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792606656 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2331171 kilograms to nanograms.\nAnswer: 233117100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(1296)*-3)\/sqrt(12).\nAnswer: -17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 497858227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2025 + 333 = -3*p + 4*b, -4*p + 2256 = -5*b. What is the remainder when p is divided by 552?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:04 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1005156000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*t - 710*t + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = 3*v, 4*v - 3*m = 16 - 47. Let u = -3 - v. Let y(x) = 4*x - 21. Let l be y(6). Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21755 divided by 1.\nAnswer: 21755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/7183359 and -2\/182776579.\nAnswer: 1644989211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67485 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, v: 1, j: 7, a: 3}. Give prob of sequence jxh.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*h**6\/h*h\/(((h*h**(2\/5)*h*h)\/h)\/h)*h**(1\/3)*h assuming h is positive.\nAnswer: h**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240736615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, i: 2}. What is prob of picking 2 t and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - t - 15, -a + t - 4*t = -11. Let c(w) = 3*w + a - 8. Let s(x) = 15*x - 80. Let v(l) = 29*l - 200. Let i(d) = 5*s(d) - 2*v(d). Give c(i(q)).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*u = 1924, 5*o = u + 7593 + 1999. Let l be ((-7228)\/(-16))\/1*700\/165. Let q = o - l. Find the common denominator of q and 34\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/((-2)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 12452?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 9 + -11 - -11\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 2*j**2 - 4*j - 16. Determine m(5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 16*u**2 + 31*u - 11. Is t(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 575\/3 or 0.28?\nAnswer: 575\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 196*d.\nAnswer: -2*d*(d + 686)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let p(x) be the third derivative of x**7\/70 + x**6\/5 + 6*x**5\/5 + 4*x**4 + 8*x**3 + 35*x**2. Factor p(z).\nAnswer: 3*(z + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + -505)\/6*-1. What is the second derivative of -2*p**4 - 87*p**2 - 27*p + s*p**2 - 19*p wrt p?\nAnswer: -24*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268*w + 624*w + 170*w to m*w + y and give m.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(96\/(-103040)*-14)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let h(f) = 753*f - 32. Determine j(h(q)).\nAnswer: 1506*q - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 2, f: 1, n: 1, o: 1}. Give prob of sequence fvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 0*k + 5*k + 2*k**2 + 2 - k**2. Let c be g(-3). Suppose -c*l + 219 = o, l + 9*o = 4*o + 63. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*l = -57*l - 81. What is the highest common divisor of l and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 15930.\nAnswer: 1\/3186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552, -494, -396, -258?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 e when four letters picked without replacement from uuuueeuuue.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-1)\/(-2))*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 3. Let f be h(6). Let c(l) = l**3 - 5*l**2 + 5*l - 3. Let k be c(f). What is the units digit of 18\/4*(-8)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -7657 (c) 1\/3 (d) 3 (e) -4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 4*c**5 + 14*c**3 - 3*c**3 + (-1 + 1 + c)*(2 + c**2 - 2)*(4*c**2 + 0*c**2 + 0*c**2).\nAnswer: 6*c**5 + 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0))\/b**(-5))**(1\/45) assuming b is positive.\nAnswer: b**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359554 (base 10) in base 11?\nAnswer: 137184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -136.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/360767 and -53\/327970.\nAnswer: 3607670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 18*q**2 - 47*q - 321. Calculate x(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, e: 2, g: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.4070196*4.\nAnswer: -29.6280784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412320\/7 - -58926. Factor 2\/7*p**2 + n + 36\/7*p.\nAnswer: 2*(p + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-12))\/(2\/(-3) - 0). Let r be (0 - 1)*(-2 - p)*0. Solve r + 3 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 99\/2*n + 1\/2*n**5 + 9\/4*n**4 + 15\/2*n**2 - 20*n**3 + 81\/4 = 0?\nAnswer: -9, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:55 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - 3) - (-138 - -104) - 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -m + 44, 0 = -0*m - 3*m - 12. Let h = 27 - q. Suppose 2*x - 2 = 2*d, -2*d = -2*x - h*d + 17. What is the greatest common divisor of x and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -292, -296, -280, -238, -164, -52?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -20 - 2 - 4\/(-4). What is the fourth biggest value in -1, c, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -12. Let h be -1*(63\/(-1) + 10). Let g = h + q. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16165 (base 7) to base 2\nAnswer: -1000111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52290307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 424 + -449 + -2 + 52\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:46 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) - sqrt(156)*1)*-2)\/(-5*sqrt(60)\/(sqrt(25)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*x - z, -4 = -2*z + 4. Does 7 divide (-37)\/(3*(-2)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 26*h = 20*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 + 15 = 0. Let s(v) = -5*v**2 - 48*v + g*v**2 + 48*v. Let q(b) be the third derivative of -b**4\/12 + 4*b**2. Determine q(s(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/17*s**3 + 0*s**2 + 2\/17 + 4\/17*s - 2\/17*s**4 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from aybbbabccyccckac.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20494*o + 33341 wrt o?\nAnswer: 20494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -230, -889, -1986, -3521, -5494, -7905, -10754?\n\"Answer: -219*v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8*k = -30. Suppose -3*x + 2*x = -3*g - 374, -k*x - 3*g = -1906. Suppose -4*m + x = -2*m. Calculate the greatest common divisor of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 3724402*f\/3 + 3467792564401\/3.\nAnswer: (f + 1862201)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31783 - -85.5\nAnswer: -31697.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -28, 1\/9, 0.4, -1.1.\nAnswer: -28, -1.1, -0.2, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/9*21\/280. Let c(a) be the second derivative of -5\/48*a**4 + a - o*a**6 + 0 + 0*a**2 - 1\/20*a**5 - 1\/12*a**3. Factor c(x).\nAnswer: -x*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1763 times -103?\nAnswer: 181589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - (-2888)\/24. Suppose 0*k + z + u = 5*k, 4*z = -20. Suppose 3*p - 4*p = -k. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -5*n - 73. Suppose -2*k - b = -79, 2*k - 97 = -4*b + 9*b. Calculate the remainder when n is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-345)\/(-138)*(-1034)\/(-5)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 34 - 57)*(11*x - 7*x**2 - 11*x) - 3 - 3*x**2 + 3.\nAnswer: 592*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 10*c - 5580 = 0. List the prime factors of c.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.1, 1\/5 in descending order.\nAnswer: 1\/3, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 14*h**2 - 12*h + 25. Let f be g(-15). Let o = -20 - f. Which is the nearest to o? (a) -0.2 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2185\/133 - 17)*7*-3163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h**2 - 1 - 2*h**4 - 3*h + 10*h**2 - 9*h**2 as i + b*h**4 + g*h**3 + u*h + s*h**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46811*w - 364198 wrt w?\nAnswer: 46811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.64922, -2, 0, -7, -2\/9.\nAnswer: -7, -4.64922, -2, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30133 + 15065 + 15068 + 20*y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25914055 less than -126?\nAnswer: -25914181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1. Let r(m) = 18*m + 15. Let p(b) = -r(b) + 5*x(b). Find the first derivative of p(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(175) + sqrt(175)*-3 + -1 + (sqrt(175) - (-4 + -5 + sqrt(175) - sqrt(175)))*-1 + -2.\nAnswer: -15*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 7 = -15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-66)\/(-4))\/((-75)\/(-50)). Suppose 1414 = z*h - 2876. List the prime factors of h.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 111. Let k = y + 78. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6, 4*f - 11*i = -14*i + 34. Let r = 12 - 13. Let w = -28 - -28. Which is the fourth smallest value? (a) r (b) f (c) 2\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 224*x**4 + 920*x**3 - 928*x**2 = 0. What is x?\nAnswer: -116, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 10. Let d(u) = -15*u**2 + 21*u + 79. Determine -8*c(z) - d(z).\nAnswer: 15*z**2 - 13*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in 2\/3, -13, 39, -5\/2, 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69170852*o**3 - 278161*o**2 - 2*o + 2?\nAnswer: -415025112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -7)\/(-4)*1. Let x(c) be the first derivative of -3*c**4\/4 - c**2\/2 - c - 160. Let s be x(w). Let z(f) = f**3 - 3*f**2 + 3*f - 3. Determine z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3 - 314*c**2 + 74*c?\nAnswer: 18*c - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14432 - -14456. Calculate the greatest common divisor of 14728 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 6*g**2 + 8*g + 2. What is the units digit of n(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/((-384)\/40)*6\/135*6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25135\/91 + 3795\/13. Is n <= -1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 - 3*c + 1. Let w be o(-3). Let r = 7 - w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341628223, 341628224, 341628225, 341628226?\nAnswer: 341628227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2539350 to the power of 1\/2, to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o - 12. What is the tens digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9344979 divided by 163947?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -1188, -4008, -9504, -18570?\nAnswer: -32100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}