diff --git "a/data/dm_maths/full_data_1/10989_11255.jsonl" "b/data/dm_maths/full_data_1/10989_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10989_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -2800*c + 7301*c = -18328*c + 3287376 for c.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 5. Let g be -7 + 0 + 0\/(-8). Let q be c(g). Suppose -q*b + 7 = -3. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*p - 7*p + 1307 = 0, -4*p = -16. What is the common denominator of -79\/20 and 1\/(-2) + j\/36?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*a - 998*a + 7 - 4 - 29.\nAnswer: 3*a - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4*u + 40*a**2*s + 389*a**2*u - 72*a*s*u - 3*a*s - a*u - 5*s*u - 2*s - 10 wrt a?\nAnswer: -48*a**2*u + 80*s + 778*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**8\/28 - 7*b**4\/12 + 16*b. What is the third derivative of p(t) wrt t?\nAnswer: 1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61\/94 - 7\/47. Let n = -118 + 118.1. Let w = 894\/7 + -128. What is the nearest to s in w, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-60) - 18\/27)*(-24)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -11222?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24233*-172\nAnswer: 4168076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7467*n + 1168702 - 317464 = 0 for n.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {d: 13, b: 3}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -10993.\nAnswer: -21986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 894 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-8)\/(-3))\/(-1*(-6)\/(-9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.205617 - 1625.364917. Let f = -1652.16007 - j. Let y = -66 - f. Round y to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 1. Let j(u) = 2*u**2 + 3*u - 4. Let a(o) = o**2 - 15*o - 13. Let r = 25 - 9. Let s be a(r). Let h(p) = s*i(p) - j(p). What is h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*c = 114, 6*g = 4*g + c - 74. Let a = g + 23. Let n = a + 21. What is the greatest common factor of 20 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, 3, -129, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -2329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-9 + 13 + 1)*(-1 - 4 + 4) - 2 + 5 - 2 + (-1 - 2 + 5)*(-2 + 3 - 3) + 4 + 2 - 4)*(4*g + g - 2*g) as k + i*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**3*u + 3438*r**3 + 3*r**2 - 16520*r*u**3 wrt u?\nAnswer: -2*r**3 - 49560*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1103 + -3197\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/42 and -85\/6384.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)\/i**(1\/11))**(-2\/17) assuming i is positive.\nAnswer: i**(24\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 47484360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235834 is divided by 704.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1539 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, m: 10}. What is prob of picking 3 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*b - 43*b + 236. Suppose 69*g - b*g = -90. What is the nearest to 2\/5 in g, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1039\/188 - 18737\/22372. Let s = c + 15\/17. Calculate the common denominator of -45\/7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/544 at most 0.152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 0 + 5 - 7 + 2*c. Let f = 2 - 0. Suppose 5*r - f*n = 27, 0*n - 10 = -3*r - 5*n. Calculate d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**3 - 2 + 2)*(-1 + 1 - b + (-2 - 2 + 3)*(-718 + 34*b + 718)) to the form k*b + h*b**4 + s*b**3 + a + x*b**2 and give h.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 12*v**2.\nAnswer: v**2*(v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 24*l. Let h(r) = 9*r - 5. Let x(w) = 9*w - 6. Let b(v) = 6*h(v) - 5*x(v). What is b(g(q))?\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2, t: 1, y: 1, q: 1, j: 1}. Give prob of sequence tl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19503, 19497, 19487, 19473, 19455, 19433?\n\"Answer: -2*a**2 + 19505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zizf when four letters picked without replacement from iifzizzi.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/550772351 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4093\/172 - 2\/43. Calculate the common denominator of f and (4128\/(-400) - -7)\/(4\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.08587 rounded to 1 decimal place?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 + 201. Is (0 + 2)\/(o*(-10)\/(-12900)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1773 + -1773.000002637. Round i to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.131 - 0.002369502.\nAnswer: -7.133369502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 + 2 + 0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*5*((3 + sqrt(51)\/sqrt(3))*1 + -4)*-6.\nAnswer: -60 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 8663801?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -602 - -859. List the prime factors of d.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65347?\nAnswer: 101, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-7))\/(6\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -31*d + 3. Let o be m(-2). Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**5 + 477*c**4\/2 + 5643*c**3\/4 + 615*c**2\/2 - 675*c\/4 = 0.\nAnswer: -5, -1\/2, 0, 1\/4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 3*o. Suppose 2*b = k + 5, 1 = -5*b + 5*k + 21. Let r be b*2*33\/(-22). What are the prime factors of w(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21.956*0.4\nAnswer: 8.7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 14, -1 in descending order.\nAnswer: 14, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and (5 + -3)\/(-1*(-8)\/428).\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 12*h**2 + 13*h + 2. Let u be x(13). Let d = 40 - 16. Suppose d - u = f. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.03 + 0.03. Let n = 6.1 + y. Is 8 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243 + 248. Do -47 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -463 and -463 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19747 and 0.12?\nAnswer: 2369.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/98 + 3840\/210.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 - 4*l - 11*l - 3 to p*l + b and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/3) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, s: 3}. Give prob of picking 1 s and 3 r.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 11*y**2 - 11*y + 10. Let b be z(10). Let d(m) be the third derivative of -1\/240*m**5 - 1\/24*m**3 + b - 2*m**2 + 0*m - 1\/48*m**4. Factor d(a).\nAnswer: -(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/(a*a\/(a\/((a*a**36*a*a)\/a))))**(1\/68))**45 assuming a is positive.\nAnswer: a**(-1485\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*v - 2*v + 4171 = 0, -4*i + 4*v = -5572. Suppose 5*w - 3728 = i. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1507, 0, -3, -814 in descending order.\nAnswer: 2, 0, -3, -4, -814, -1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l - 4*q + 225, 261*l - 264*l - 5*q + 262 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**3\/3 + n**2 - 7. Let u be x(0). Suppose u = 4*h - 44 - 4. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let p be (-1287)\/(-44) - 3\/g. Solve -2*d + p = -4*b, d + 2*b + 6 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*a + 8, 3*b - 9 = 4*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15596531 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91940531 to the nearest integer?\nAnswer: 9589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/2199 and 27\/17.\nAnswer: 37383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 401.5612 centuries?\nAnswer: 481873.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15883 + 31756 - 57*j**2 - 15873 + 57*j in the form m*j**2 + i + x*j and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {l: 2, r: 5, p: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7656 - -8.\nAnswer: -7648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/98*(6 + 1). Solve 4*s + 8 = 3*c + b*s, 4*c - 3*s = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 573 = 3*j, j - 2*w - 176 = -6*w. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 5*o**3 - 2*o**3 + o**2 + (0*o - o**2 + 0*o)*(3*o - o - o) + 0*o + 0*o - 2*o**3.\nAnswer: -9*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(0\/(4\/(-4)) - -4). What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -179, -183, -189?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 588727649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283493\/16 - -17719. Calculate the common denominator of ((-1)\/6)\/(1\/(-13)) and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 + 62 - 10 - 2*w**2 in the form u*w**2 + q*w + o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (105\/(-6) - 1)\/((-4)\/48). Let r(x) = q - 102 - 119 - 5*x. Give r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 569007327*j**2 + 3823*j + 18235?\nAnswer: 1138014654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15 - (-368)\/720?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 9:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3)*1 + -3 + sqrt(48).\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-334)\/(-26) - 6\/(-39). Solve -4*w + k - 2 = j, 0 = -3*k - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2849406 >= -2849346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -4.\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 36.24. Let k = -0.24 - p. What is the third smallest value in -2\/17, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*3*(1*(-1 + (-2*sqrt(13) - sqrt(13))) - (sqrt(26)\/(sqrt(8)\/sqrt(4)) - sqrt(26)\/sqrt(8))).\nAnswer: -21*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*d**3*z**2 + 2049*d**3 + 11*z**2 wrt z?\nAnswer: 30*d**3*z + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -58. Let f(s) = z*s + 5 + 91*s - 135*s. Let m(w) = 15*w + 3. Give -5*f(p) + 8*m(p).\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 36, 40, 46?\n\"Answer: p**2 - p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -62360, -5, -18 in ascending order.\nAnswer: -62360, -18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 8*c**2 + 8*c - 11. Let q be f(-9). Let n be ((-4)\/q - 25\/10)*-2. Solve 5*y + 2*o - n + 3 = 0, -2*y - 5*o - 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((2 - 3) + 3). Let q(v) = -6*v**2 + 2*v + 7. Let u(i) = 5*i**2 - i - 7. Let o(f) = j*q(f) - 5*u(f). Calculate o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-60))\/((-56)\/672)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 - 173. Calculate the common denominator of -35\/108 and 435\/a - (-1)\/(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 577 or 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6508937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 9091258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*3)\/(sqrt(5) - (sqrt(5) - ((sqrt(10)\/sqrt(2) + sqrt(5))*2 + sqrt(5)))) + ((2*sqrt(418))\/sqrt(11))\/sqrt(2)*1.\nAnswer: 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3700314 (base 8) to base 3.\nAnswer: -1220121201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 9) to base 8.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 + 1375 - x - 8*x**4 - 1377 - 6*x**3 - 4*x**4 + x**4 to k*x**4 + f*x + o*x**3 + b*x**2 + q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2260\/257829?\nAnswer: 2260\/257829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 177*d + 4618. Calculate the remainder when 399 is divided by c(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**3 - 298*t**2 + 174*t + 185. Give m(59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 take away 1.7?\nAnswer: -53.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50126 * 4\nAnswer: 200504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -556, 5, 3, -2 in ascending order.\nAnswer: -556, -4, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:22 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 748 and 1707684.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -4, -52, -128, -238, -388, -584, -832?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o - 1637. Calculate the remainder when 167 is divided by n(103).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846503.\nAnswer: 7, 120929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:24 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6\/13))\/q**10 assuming q is positive.\nAnswer: q**(-111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139336 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y + w + 24 = 0, y - 3 = w. Suppose y + 5 = -3*z. Put 5, z, 4 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j = -49*j - 4665. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2 + 13 = 5*l, 7 = c + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(18)\/sqrt(2)) - (sqrt(7)*-2 + -3).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/3192*14)\/(21\/18)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 57637*q + 4 - 52995*q - 2*q**2 + 120709*q to the form z + s*q**2 + g*q and give g.\nAnswer: 10077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -63.4 times 10666\nAnswer: -676224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4502586 and 9537?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/((-21)\/(84\/(-10))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -54*y + 20. Let i(h) = -h. Let p(f) = -3*c(f) + 3*i(f). Let k(n) = 32*n - 12. Let t(a) = -11*k(a) + 2*p(a). Differentiate t(x) with respect to x.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-9)\/30)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:30 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w**2 + 1\/3 - 5\/6*w + 5\/3*w**3 - 5\/3*w**4 + 1\/2*w**5 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-34) - (-8)\/(3128\/1127). Solve -o*w + 7 = -5*a, -7*w + 5*a = -10*w - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/l**(-2\/21)))\/l)\/l)\/l*(((l**(-1\/4)*l)\/l)\/l)\/l*l)\/(l\/(l\/(l\/(l*(l*l**(-1\/6))\/l)))*l**(-6\/5)\/l) assuming l is positive.\nAnswer: l**(-1391\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 + 235*v + 814. Determine p(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -1\/1848*p**8 - 1\/330*p**5 + 0*p**3 + 0*p**4 + 0*p - 1\/385*p**7 + 0 + 31*p**2 - 1\/220*p**6. Let d(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1. Let h(u) = u + 21. Let p be h(0). Suppose -4*a - 5 + 4 = g, -p = 4*a + 5*g. Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:35 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5 - 9 + i**3 - 3*i**2 + 2*i - 3. Is b(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -17 - (-64 + 97)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134205, -268476, -402707, -536880, -670977?\nAnswer: -804980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -118279 (c) -4\/3 (d) 2 (e) 0.5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1829\/3 + 610. Let w(v) be the second derivative of 0*v**3 + 0*v**2 + d*v**4 + 1\/10*v**5 - 7*v + 0. Find f such that w(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, -2453, -5395, -8341, -11291, -14245, -17203?\nAnswer: -20165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 2:40 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 3. Let a(o) = -3*o - 9. Let m(i) = -2*a(i) + 7*k(i). Determine m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206193667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 834460267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17221808.99951 + -17221726. Let b = g - 83. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*w = x - 63, x - w = 29. Suppose 4*u + x = 16*u. Solve -10 = -u*z - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 99306658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - b = -38, 5*b + 11 + 9 = 0. Suppose a*j = 2961 + 833. List the prime factors of j.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271990 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 13*h + 12*h**3 + 5*h**3 + 2 to the form w*h**2 + t*h**3 + d + r*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 1\/13, -111, 20?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -20103?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744429 and 135.\nAnswer: 33499305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 8*i + 3*b + 52, 3*i - 44 = b. Let s be (-1)\/(-3) + 239\/3. Calculate the greatest common divisor of s and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*b + 161*b + 97*b - 17548 = 0 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56943 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a factor of 427975131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 3) + (23 - 19). Solve 0 = -q + m - 0, 4*q = 2*l + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + 0 + sqrt(26)\/sqrt(2)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7*y - 50 + 2*y - 13*y + 52.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 4*j + 10, 19 = 5*p + j. Let y(d) = -d + 0 + p*d - d - 3. What is the least common multiple of y(7) and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 41*y**2 - 44*y**2 + 114*y**2 + 71*y**2.\nAnswer: 182*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 216*t + 216*t + 13*t**3 to the form y*t + v*t**2 + p*t**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5804.739 - 5796. Let o = 0.161 + a. Let z = 9 - o. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*n - 2, -3*n + 2*r - r = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 + 7*s - 6. Let y be m(1). Let l(a) = -11*a - 8. Calculate the remainder when l(y) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -5*p**3\/12 - 333*p**2\/8 + 67*p\/2 + 2370. Factor m(w).\nAnswer: -(w + 67)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3*(-5 - 1). Suppose p + 1 = b. Suppose 4*z = 2*u - 760000, -256209 = p*z + 4*u + 693791. What is z rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1939632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518 greater than 3518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 7*a**2 - 9*a - 36. Determine y(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {o: 1, j: 1, v: 2, p: 2, x: 1, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/36 + d**3\/6 - d**2\/3 + d + 1. Let j(g) be the first derivative of z(g). Factor j(p).\nAnswer: -(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -2, -7\/12, -25\/239?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, y: 2, r: 4, f: 6}. Give prob of picking 2 b and 1 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1625*o**6 - 3*o**2 - 585*o?\nAnswer: -195000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3823537 (base 9) to base 12\nAnswer: 845167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-3)\/(-45)*3). Let l = -15 + k. Suppose -2*q + 3*f + 39 = -l*f, 5*q = -5*f + 85. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 8*d + 9. Let j be b(-9). Suppose j = -2*x - 4 + 24. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*b - v + 27, 5*b + 3*v - 23 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 13*q**2 + 914*q - 24492. Determine z(-91).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) -2 (c) -132 (d) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23563187\/16 - -1483440. Let r = 10735 - s. Find the common denominator of 822\/(-84) + -3*(-1)\/1 and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * -174.\nAnswer: 59.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -1\/77 in decreasing order.\nAnswer: -1\/77, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 595, 890, 1665, 3160, 5615, 9270?\n\"Answer: 40*h**3 + 15*h + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104360 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 37935*k\/4 + 6800713\/2.\nAnswer: (k + 362)*(k + 37573)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -140414*0.117\nAnswer: -16428.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000744814 to 7 dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21212 - -12?\nAnswer: -21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3 - 27. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u + 366 = -1196 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:38 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 178724751 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: What is the remainder when 1486595 is divided by 495518?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*j**2 + 2 - 9 + 9*j**2 + 6.\nAnswer: 69*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let n(c) = -34*c**2 + 12*c. Let s(p) = 13*p**2 - 5*p. Let b(u) = -5*n(u) - 12*s(u). Give b(k(v)).\nAnswer: 56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 13*u - 18883 = 0. What are the prime factors of u?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(2800)*-2)*-4 - ((sqrt(2800) + 0)*-5 + (sqrt(2800)*1 + -4)**2)).\nAnswer: -2812 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 4\/525*w**7 + 0*w**3 - 8\/75*w**5 + 21*w**2 + 0 - 1\/420*w**8 + 2\/75*w**6 + 0*w + 0*w**4. Determine x, given that g(x) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 3*g**2\/2 - 8*g - 6. Let s(x) = 5*x - 15. Calculate -11*q(o) + 6*s(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/4, -5, -2\/3, -0.4284?\nAnswer: -0.4284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 38*a + 18*a - 2700 = 0 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-321)\/1070)\/((186\/8)\/3). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 24 = -i. Let j be ((-2)\/3)\/((-4)\/i). Let t(o) = 41*o**2 + o. List the prime factors of t(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:38 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*x - 12*x + 4*x**2)*(-142 - 277 + 282) - 2 - 13*x + 14*x + 4*x**2 - x**2 to the form c*x + h*x**2 + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42173 + 180100. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7223271, 14446507, 21669743, 28892979, 36116215?\nAnswer: 43339451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/4 (b) -0.3 (c) 5 (d) 4\/223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 + 20221200200101?\nAnswer: 20221200202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -7*d - 903. Let p = 9 - d. What is the highest common factor of p and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12. Find the first derivative of j - 4 - 3 + 8*h**3 wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273 - -277. Suppose 0 = -l - 4, 0*b - l - 32 = -p*b. What is the smallest common multiple of b and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697875671 a multiple of 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3729625769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -109, 630, 1859, 3578, 5787, 8486?\n\"Answer: 245*b**2 + 4*b - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845373755 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:59 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 8*y**3\/3 + 4*y**2 + 6*y + 7. Let v be u(9). Let f = 2 + -3. Sort v, 5, f in descending order.\nAnswer: 5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5488641 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/9 of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9834596 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1546415 and 23\/118955.\nAnswer: 1546415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {h: 2, s: 1, w: 2, k: 1, b: 4, v: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002978774041 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 98*z**2 - 746838736*z + 1422877799974688 = 0?\nAnswer: 26672812\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6*(-99)\/22. Suppose 5*n = -5*j + j + 80, 2*j = 3*n + 40. Suppose a*v - v = -j. Sort v, -2, 3 in decreasing order.\nAnswer: 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (192\/(-5) - 16\/(-40)). Let u = x + -36. Suppose 0*g = -g + u*s + 25, 3*s + 7 = -g. Solve 0 = -4*z + 3*j + 8, -3*z - 2 + 37 = g*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 56. Let v = s - 113\/3. Put 0.2, v, -0.3 in decreasing order.\nAnswer: 0.2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078.66104 rounded to the nearest integer?\nAnswer: -1079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*y + 4. Differentiate -7 - y + 19*p - 4 - 17*p with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20f9f (base 16) to base 11\nAnswer: -92532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/14)*k\/((k\/(k**(-4)\/k))\/k))\/(k**(3\/4)*k\/(k\/(k*k**29))) assuming k is positive.\nAnswer: k**(-975\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106698 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-8))\/((-195)\/(-20)*-1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2338 + 1462 = -219*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839166\/7 + -121585. Let g = -1707 - p. Which is smaller: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (0 - 2) - 0) + (89 - 102).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 5)*(10*v - 59 + 59) as s*v + c and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1431142, 2862354, 4293562, 5724766, 7155966, 8587162?\nAnswer: 10018354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-19677)\/(-24) - (-3)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-1 + (-19729)\/(-2)). Suppose 5*j - x = 9546. Round j to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 49*n**3 - 9*n**3 + 315*n + 19*n**3 + 314*n - 624*n. Let c(x) = -147*x**3 - 12*x. What is -5*c(r) - 12*s(r)?\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-627)*(-95)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2725681 divided by -13427?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -337.1? (a) 1\/6 (b) -1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 3)*(2*d + 2*d - 2*d) - 4*d + d + 0*d + d + d + 3*d + (3 - 3 + 1)*(-2*d - 2*d + 2*d) + 0 - d + 0)*(1 + 80 + 31) in the form g*d + z and give g.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110431 + -1?\nAnswer: 110430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66659*m**3*n**4*q + 86*m**3*n**2*q + 78*m**3*n*q + 32*m**2*n**4 - 31*m**2*n**2*q wrt n.\nAnswer: -1599816*m**3*n*q + 768*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -166567 smaller than -166573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(3 - 4 - 2) + 41 - 12 + 14)*(0*x**5 - 2*x**5 + x**5).\nAnswer: -37*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 15*n - 2. Let t = n - -2. Suppose 4*o = t*o + 71. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 - 6*f - 3. Let l be b(-4). Suppose 6*z - k = l*z + 3, -4*z + 40 = 3*k. Solve 2*c - 4*r + z*r = -18, -3*c - r = 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 83*m - 1369. Does 47 divide b(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2*t - 8. Let s = -4 - -9. What are the prime factors of i(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3 + 1302*m**2 + 7866*m + 11826 = 0 for m.\nAnswer: -3, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-206561*b**2 + 524*b**3 + 206561*b**2).\nAnswer: 1048*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022234 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.804 times -6350?\nAnswer: 5105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffqffqffffq. What is prob of sequence fqq?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13232\/55 greater than 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101106 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*m + 41*m + 70. Let r(u) be the second derivative of u**4\/3 - u**3\/6 + u**2\/2 - u. Let x(j) be the first derivative of r(j). Give x(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 285\/7, -1\/10, -0.2, -4\/7, -1\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7424 + -6284. Calculate the remainder when d is divided by 112.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 - 2*r + 2. Let u(t) = -26*t**2 - 11*t**2 - 5 + 49*t**2 + 5*t. What is 5*n(y) + 2*u(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -212*u**2 + 7*u - 12. Let d(t) = 143*t**2 - 5*t + 8. Give 7*d(s) + 5*k(s).\nAnswer: -59*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533 divided by -1511?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/4*152\/171. Solve 0 = 2*d - j, -3*d = 5*y + 2*d - 25 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -40*s - 93 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 + 1719. Let f be (-2)\/(-3) + 178701\/126. Let s = d - f. What is the common denominator of -83\/84 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570784.95 rounded to the nearest 1000?\nAnswer: 4571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62433 and -13222.\nAnswer: -75655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14651800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 + 3*a + 1. Let k be t(-5). Suppose -26*s + k*s = 0. Let y(g) = 0*g + s*g + g - 4. What is y(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/14 + 200*u**3\/21 - 101*u**2\/7 - 873. Factor w(k).\nAnswer: 2*k*(k - 1)*(k + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6252 + -6247. Let p = -0.01 - -1.01. Which is the nearest to p? (a) f (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 9.1, 32, 4, -3, 0?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 475 + -508. Let i = -37 - o. Let m(j) = -j - 1. Let w(q) = q**2 - 3*q - 2. Calculate i*m(t) + w(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2151 and -7.\nAnswer: -5.7849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 o when four letters picked without replacement from {o: 18, y: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(111 - 77 - 22)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {t: 3, z: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 50*o - 347. Is v(27) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -23 (b) 7 (c) 6 (d) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.8 - -126. Round h to the nearest integer.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 75 = -2*q. Suppose -36*r - 18417 = -q*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*s**3 - 3*s**3 + 18*s**3)*(-s + 4 - 4) + 3*s - 3*s + 2*s**4 in the form p*s + m*s**2 + q*s**3 + u + d*s**4 and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.71 - 93.151814.\nAnswer: -53.441814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 530 in -20, 0.2, -3113?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157301382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -5*t**4\/24 + 2*t**2 - 2. Let u(n) = 16*n**2 - 8*n**2 + 0*n**2. Calculate j(u(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i**4*i*i)\/(((i**(-1\/3)*i)\/i*i)\/i**(-8))*i**(-3\/11)\/i**(-9)*(i\/(i*(i*i\/(i*((i**(-1)\/i)\/i)\/i*i)*i*i*i)\/i)*i)**(-38) assuming i is positive.\nAnswer: i**(12973\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**22*g**(-11\/2))**(-30) assuming g is positive.\nAnswer: g**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*l**6 - 48374*l**3 + 273392917*l**2?\nAnswer: -17040*l**3 - 290244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4016137 (base 9) to base 13.\nAnswer: -59a7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(30)\/(sqrt(240)\/sqrt(6)) + sqrt(54)\/(sqrt(2) + sqrt(20)\/(sqrt(360) + sqrt(10)) + sqrt(2))).\nAnswer: -19*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -115. What is the units digit of -2*(-2)\/i + (-2626)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -202. Calculate the common denominator of (-1)\/(-4) - (-153)\/20 and ((-3)\/8)\/(12\/x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 - 38*t**2\/13 + 230*t\/13 - 450\/13 = 0 for t.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43.0815km?\nAnswer: 43081.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1475107 - 1322?\nAnswer: -1476431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 7*u + 2*s + 14, 2*u - 4*s - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3 - -4) + 8 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592 - 591.5. Which is bigger: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1340 and 149\/180?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:42 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11)*1) - (sqrt(2) - (sqrt(2) + -1)*5)) + -2.\nAnswer: -7 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 2. Let a(z) = 8*z**2 + 42*z - 116. Let v(d) = a(d) - 3*o(d). Factor v(g).\nAnswer: 5*(g - 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/5, -4\/365 in increasing order.\nAnswer: -4\/365, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1079 or -120410?\nAnswer: 1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8085?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -919, -907, -895, -883?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-5\/3)))\/(n*n**3))\/(n*n**6*(n**(6\/7)*n)\/n)*(n**0\/n)**(4\/3)\/(n**(-3)\/(n\/(n\/((n\/(n**(5\/4)\/n))\/n)))) assuming n is positive.\nAnswer: n**(-737\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 * 2.22.\nAnswer: 4.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9809 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l + 12. Let r be x(-6). What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(30\/55))\/((-8)\/192*-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m + 41*m - 21*m - 63219. What are the prime factors of m?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((897\/(-184))\/(6\/8))\/(17\/102)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4929610.26 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79777907*x**2 - 76914630 wrt x.\nAnswer: -159555814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*k**2*x**3 + 76*k**2*x**2 - 18*k**2 + 7*k*x**3 - k*x**2 + 436*k - x**3 + 11*x**2 wrt k?\nAnswer: 54*x**3 + 152*x**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/142 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*l = l + 186, 4*l = -2*p + 196. Let n = 55 + p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -45. Let o(q) = -1 + 2*q - q**3 - q**3 + q. Let p(v) = -3*v**3 + 5*v - 1. Calculate m*o(z) + 3*p(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -0.18 (c) 11 (d) 3\/178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2805 = -5*b, 4*m = -b - 2*b + 2246. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 59582.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 20727*u**2 - 35790345*u + 35811075.\nAnswer: -3*(u - 1)*(u + 3455)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 + 5*b**2 + 3*b + 4. Let z be l(-3). What is z rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -319, -636, -955, -1276, -1599, -1924?\n\"Answer: -r**2 - 314*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 l when three letters picked without replacement from lfllllllfelflflfffff?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 9, j: 4, u: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000606 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310 - -66. Suppose -4*q = -5444 + h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -22. Let q be 3\/(1 - 10\/16). Let z = q - -18. Solve z = -2*s + 4*o, j = s + 2*s + 5*o - 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593451747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfnn when four letters picked without replacement from {n: 2, c: 1, h: 1, t: 5, f: 1}.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4280*t**5 + 121*t**2 + 8 wrt t?\nAnswer: 256800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 35*l + 147 + 9*l - 40*l. Let t be h(-36). Solve t*o = -2*p + 2*o - 12, 2*o = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (420\/(-25))\/((-12)\/(-30)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6561 + 443 = 266*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose -w = d - 3*b + 7, -b + 4 = d. List the prime factors of (4 - d) + -4 + 22.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*p + 161*p = 301*p + 364. What is the remainder when 341 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282101469 divided by -5?\nAnswer: 282101469\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 37*a + 25. Suppose -2*b + 17 = 3*g, -29 = 9*g - 12*g + 4*b. Let o be j(g). What is the highest common factor of 80 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3764.923 millennia?\nAnswer: 37649.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*s - 2*s - 255, -4*f = -4*s + 188. Let t = -11 - f. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 8, l: 2, d: 2}. What is prob of picking 3 h?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**6\/40 + 29*x**5\/120 - x**4\/4 + 34*x**3\/3 + 6. Let v(k) be the third derivative of u(k). Factor v(d).\nAnswer: -(d - 3)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126, -133, -146, -165, -190, -221, -258?\n\"Answer: -3*s**2 + 2*s - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 9*d - 5. Let u be x(9). What is the common denominator of -9\/10 and 86\/(-8) + u\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y - h, -5*y + y + 5*h = 8. Let p(q) = q**2 - 4*q - 3. Let o(c) = c**2 - c - 1. Suppose -5*w - 4 = 1. Let a(b) = w*p(b) + 3*o(b). What is a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 2, c: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Determine c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33489 times 1.44\nAnswer: 48224.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*z = -0 + 5, -4*c = -3*z - 31. Let g = c - 7. Suppose 2*f + 4 = g*f. Solve s = -3*h - 4, -s - f*s = -4*h + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978 divided by -46?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 50 - 40)*(193*a - 1008 + 1008).\nAnswer: 1930*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - 2\/(-4)*2550\/(-765).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -344?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = -2*b. Calculate the lowest common multiple of b and 106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 plus 27911?\nAnswer: 27939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y = 0. Let d = -257 + 257. Suppose -5*l - 5*s + 215 = y, 4*s + 7 + 1 = d. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**7)*a**(-6))\/((a\/(a\/(a**(-6)*a)))\/((a**(-6)*a)\/a))*((a\/a**13)\/a**9)**(-24) assuming a is positive.\nAnswer: a**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lszz when four letters picked without replacement from snjsnnlszsjsnfz?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*h**3 - 9929*h**2\/2 - 573*h.\nAnswer: h*(h - 382)*(26*h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 84505*u + 2. Suppose -l = 4*m + 37, -m + 4 - 9 = -4*l. Let z be d(m). Let j = 369457 - z. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15603056.\nAnswer: 2, 7, 139313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 60*q**2 + 859*q + 1180. Determine k(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -55. Let r = 28 - v. Put -5, 3, r, -4 in ascending order.\nAnswer: -5, -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*14\/14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:49 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-30) - (-242)\/5. Suppose -5*t + 4 - i = 0. Let f(k) = -k**3 - 10*k**2 - 11*k - 11. List the prime factors of f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 56*q - 31. Let a(g) = -28*g + 13. Calculate -5*a(f) - 2*t(f).\nAnswer: 28*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 354*i**2 - 8*i - 1. Is g(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 15*j**2 + 2*j - 15. Let z be p(15). Suppose 22*b - z*b = 126. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w + v + 234 = 0, 2*v = -5*w + 222. What is the remainder when 69 is divided by w\/(6 + (-28)\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + 3 + -4 + (sqrt(200)*2 + -3)*6*4)**2.\nAnswer: -73920*sqrt(2) + 466725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 196*v = 2256 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*o**3*p - o**3 + 2*o**2*p*v - 11*o**2*p + 2306*o*v wrt p.\nAnswer: 69*o**3 + 2*o**2*v - 11*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 22*r**3\/3 - 16*r + 2. What is the first derivative of z(y) wrt y?\nAnswer: 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523950 divided by -261975\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 643750 divided by -103\nAnswer: -6250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14973975*q**2 + 24792387*q wrt q.\nAnswer: -29947950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 + 168*b**4 + 339*b**3 + 170*b**2 = 0 for b.\nAnswer: -1, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 3*u + 3*b - 11, -u - 5 = -2*b. Let y(j) = -4*j - 392. Let a be y(0). Let s be (-2)\/(-8) - 7\/(a\/(-54)). Which is greater: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581 - -349. Let w be (-22)\/(-143) + m\/(-13). Let x = w + -11. Solve 5*s = -2*q - x, -3*s + 0*q - 2*q = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*((-6)\/(-6))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/2, 0.2, -3\/5, -45, 8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 41*d + 565. List the prime factors of p(-61).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*f = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6725417 centuries to decades.\nAnswer: 6.725417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824383 is divided by 117769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(38*1075\/(-50))*-19.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 6*r**2 - 9*r + 4. Calculate a(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 11) to base 9\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 535 - 457 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-16) - 5 - (-27)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1 + 0 + 6*k - k**2 - 5. List the prime factors of g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 6 + 22. Let p = -27 - -37. Suppose -c = j - p. Solve -4*w - 4*a + 9 = -15, 0 = -3*w + j*a + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -16 + (7 - -151 - 63)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845286.\nAnswer: 2, 922643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 7*f - 44. What is the second derivative of -f*v + 17*v + 4*v**2 + 2*v**2 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/3 - (3 + -6). Let a(g) = g**3 - 4. Let o be a(m). Is o greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319674 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -460*(-112)\/13440*5\/(-5)*-12\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 8*p - 3. Calculate the common denominator of -85\/8 and t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -64*s - 1062. Give y(-19).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 - 4. Let l be t(5). Suppose -2*d - 6 = -5*d. Suppose d*x - f = x + 19, 5*x = -f + l. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27549 - -27554. Let h be ((-2)\/(-108))\/(6\/(-8)). What is the third biggest value in q, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (-27 + 55 - -64).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + -a8d?\nAnswer: -aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n)\/n*(n\/(n**(-4\/3)\/n))\/n*(n*n**(-10\/3)*n)\/n*n*(n**5\/n)\/n assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 - i + 1. Let s(q) = 5*q**3 - 2*q**2 - 7*q - 3. Let o(v) = 6*k(v) - s(v). What is the units digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 6. Let m be u(-2). Suppose 3*j + 0 - 3 = 0. Let l be (j - -2)*11\/(-3). Let a(q) = -3*q - 2. Let v(g) = -16*g - 10. What is l*a(d) + m*v(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126874*o - 126883*o. Which is the closest to 0? (a) 0.05 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 7 - 7)*(-13*m + 13*m + 12*m) + 3*m**2 - 2*m + 2*m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxxpaxtpxapxxxxa. Give prob of picking 2 p and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*m. Suppose -j = -5*b - 183, 2*j - 3*b + m*b - 345 = 0. Suppose -2*l + 150 = 2*k + 2*l, -2*k + 5*l = -j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 - 4 = 2*z, -4*z = q + 6. Calculate the remainder when 4 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 24640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5183006 is divided by 1299.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b - 2*b + b)*(19 - 35 + 85) to s*b + r and give s.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i + 189*i - 36*i as l + c*i and give c.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 2*t**3 - t**3 + 2*t**2 - 3*t**2. Let r be b(-1). Let q(h) = h**3 + 5*h**2 - 4*h + 1. What is q(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 11:14 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 3*x**2 - 1. Let q be r(-2). Let b(t) = 24 + 24 + 27 - 73 + t. Determine b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 9. Let b = 0 - w. Calculate the remainder when 40 is divided by b*(-1 + 2 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 1.7, -10, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1 - 8*g + 4*g + g. Determine h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43*-3805.177\nAnswer: 1636.22611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9010779, -9010786, -9010795, -9010806, -9010819, -9010834, -9010851?\n\"Answer: -u**2 - 4*u - 9010774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80918?\nAnswer: 2, 40459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (5 + (7 - 18))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28346340*o**3*v**3 - 173*o**3 + 6*o*v - 871*v - 1 wrt v.\nAnswer: -170078040*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p**4 + p**2 + 2 + 27*p**4 - 2*p**2 to the form d*p + q*p**2 + y*p**4 + w*p**3 + b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 720?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -429 - -427.48. Let s = m + -0.48. What is the biggest value in -3, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 + 26*z - 6. Let x be j(-6). Let o(n) = 3*n**2 + n + 126 - x. Let i(v) = -6*v**2 - 3*v - 1. Determine -2*i(q) - 5*o(q).\nAnswer: -3*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4292 (b) -0.1 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b - -278be?\nAnswer: 27753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/544 + 342\/34. Let r(x) = 10*x - 7 + x**2 + 1 - x**3 + 8*x**2. Determine r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 51 - 17 = 3*p, 0 = p - 4*c + 8. Let z = p + 24. Suppose -6*w + 2*w + 28 = z. What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 + -42?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.146215 litres to millilitres.\nAnswer: 3146.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*k = -7, 5*y - 15 = 5*k - 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 - -6.67. Let s = n + 0.13. Let z = -0.44 + 0.04. Which is the biggest value? (a) 1\/3 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 66. Let i = -5.5 - -5. Which is the biggest value? (a) t (b) 6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2792.801 - -2790. Let x = h - -1.772. Let b = 0.029 + x. What is the nearest to -0.5 in -0.4, 4\/7, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22926.5489 from 0.35.\nAnswer: 22926.8989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7905 and 30.\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -0.6, 2, -1\/79 in increasing order.\nAnswer: -0.6, -1\/79, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.077617 decades in millennia?\nAnswer: 0.04077617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3736 by 3253.\nAnswer: 3736\/3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -805 + 799 + -1 + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - r + 1. Suppose 3*b - 2 = 46. Let y(o) = b + 5*o**2 - o**2 + 4*o - 37 + 15 + 5*o**2. Let c be 1 - (7 + -2)*-1. Determine c*h(a) + y(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4811 - -4811.1. Which is the nearest to 4\/337? (a) y (b) 1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p - 653*p - 4776 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 852*c**2 - 7666*c - 17. What is t(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 2 - 2)*(-2*s - 4*s + 5*s) + 50*s**2 + 58*s**2 - 44*s**2 to the form l + o*s**2 + g*s and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 37*q**2 + 3866*q + 5694. Calculate i(-103).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 3*s**3 + 0*s**3 + 0*s**3.\nAnswer: -3*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 637\/1178 - (-4)\/(-8) - 106\/1007.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 14*t**2 + 7*t + 229. Give s(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9734*f - 4. Let z(s) = 5*s**2 + 17. Calculate z(a(y)).\nAnswer: 473753780*y**2 + 389360*y + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -12*o**3 + o**2 - 4*o**3 + 12*o + 18*o**3. Find the first derivative of i(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12478 + -12479. Which is smaller: 94.43 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14550 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, 0.9, -2\/1671 in increasing order.\nAnswer: -5, -0.1, -2\/1671, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**8\/3360 + i**7\/840 + i**6\/480 + i**5\/60 - 40*i**2 + 2. Let c(r) be the third derivative of y(r). Factor c(a).\nAnswer: 3*(2*a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 23*w**2 - 12*w - 222. Let o be i(22). Let r = -4.2 - -3.7. Sort -1, -3.8, r, o in ascending order.\nAnswer: -3.8, o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773040 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: What is the second derivative of 58117086*h**2 - 186059721*h?\nAnswer: 116234172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 15) in base 3?\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 0.8.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 9*a + 1. Suppose 0 = 4*z + 5*k - 3, k = -2*z + 4*k + 7. Suppose 0 = -2*q - z*q + 212. Let f = -61 + q. Give c(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 440104132 (base 5) in base 11?\nAnswer: 107351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1100001010010100001 (base 2) to base 4\nAnswer: -1201102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-22 - (-12 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - n = 74 + 116, 5*n + 368 = 4*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -682 = -3*n - 5*p, -456 = -2*n + 2*p - 6*p. What is the greatest common divisor of 56 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 1\/12*y**5 + 0*y**4 + 0 - 12*y**2 + 1\/42*y**8 + 0*y**6 + 0*y + 0*y**3 + 0*y**7. Find the third derivative of c(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s - 2. Let v be d(2). What is the smallest common multiple of 6\/(-4)*48\/(-18) and ((-1)\/2)\/(1\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0226838 and -1.\nAnswer: -0.9773162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1133 = 5232. Is 67 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.896176 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6332400 and 800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41670 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = f + 5, 3*f + 3*p - 2 - 1 = 0. Suppose f = -g - 54 + 200. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-6300)\/(-117) + (-3)\/(-39)*2. Solve 150 = x*k - 28*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(10 - (-247)\/234*-9). Calculate the greatest common factor of o and 471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*v + 3)*(9 + 3 - 14 + 2*v).\nAnswer: 6*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26889 times -0.03?\nAnswer: -806.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.1733792 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 20. Let s(h) = -h + 19. Give -3*d(y) + 4*s(y).\nAnswer: 2*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:34 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 25010*g**2 - 448645*g - 423640.\nAnswer: -5*(g + 1)*(g + 17)*(g + 4984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*2*-6*5)\/((2*sqrt(77))\/sqrt(7) + sqrt(110)\/(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 18480*v - 18477 = 0. What is v?\nAnswer: -6159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10010010011001010001?\nAnswer: 10010010011001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.50651l?\nAnswer: 29506.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 2, a: 7}. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 140 = 4*r. Let j = r - -45. Suppose -5*v + 40 = j. Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12493.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(2 - m - 2 + (0 + 3 - 4)*(-15*m + 7 - 7)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.34 (b) -6\/7285 (c) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3106*l + 15517. Calculate t(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/(i\/(i\/(i\/((i\/(i\/((i\/((i*i**(-3\/4)*i)\/i*i))\/i)))\/i))))*i)\/i*i)\/i)*i**8*(i**(2\/3))**29)**(-39) assuming i is positive.\nAnswer: i**(-4771\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(1872) + 2) + sqrt(1872) + -3)**2 + 0 + ((sqrt(1872) - ((sqrt(1872) + 1 + sqrt(1872))*-3 + sqrt(1872)))*-5)**2 + 1.\nAnswer: 11232*sqrt(13) + 1692600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229 - -16 - (-3 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 41*f + 6. Let k(z) = 8*z + 1. Calculate 2*h(s) - 11*k(s).\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 5.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50230, -3, 2, 5 in descending order.\nAnswer: 50230, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {t: 1, n: 1, z: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*c + 48 = 0, -18*z + 27147*c - 86 = 27151*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -791*b + 330. Let c be s(-10). Round c to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and -91\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 1. Let c(l) = -4*l + 1. Let m(x) = 4*c(x) - 3*h(x). Let a(k) = -k**2 - k - 1. Let d be a(0). Let n be m(d). Solve 2*g = n + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4320001 + 0?\nAnswer: -4320001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -49*g**3 + 10*g**2 - 81*g. Let o(s) = 73*s**3 - 14*s**2 + 121*s. Let k(w) = -5*o(w) - 7*r(w). What is the second derivative of k(z) wrt z?\nAnswer: -132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -98. Let q(j) = j**2 - 10*j + 41. What is the units digit of q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*3\/(-20)*(-15)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1700 + -1664 + 10 + -2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22528 (base 9) in base 6?\nAnswer: -153255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l + 0*l**3 + l**3 + 21*l + 1 + 3*l**2. Let t(f) = -5*f**3 - 13*f**2 + 9*f - 4. Determine -9*a(m) - 2*t(m).\nAnswer: m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 11*n**2 + n + 6. Let x be b(-11). Let p be (1*-1)\/(x\/10). Suppose -4*f = -p*l, 7*l + 2*f = 2*l. Is l < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3007*c**4 + c**2 + 6*c + 2173 wrt c?\nAnswer: -36084*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 814 = -1374 + 328 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 4*h + 6. Let q = -13 + 18. Let u be b(q). Is -2\/15 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399893 is divided by 79972.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-675)\/(-4))\/(-9)*-20. Let d = k - 137. Is d\/4 - (-1 - 9\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283.3474 times 45\nAnswer: 12750.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 24*d + 5. Give h(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 6. Let m be f(0). Let r(s) = -s**2 - 5*s. Let j be r(m). Calculate the lowest common multiple of 4 and 28\/j*9\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/14)*c\/c**32*c*c*(c*c*c*c**4*c*c)**(19\/4))**27 assuming c is positive.\nAnswer: c**(10341\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 84. Suppose 5*t - 2*k - 345 = g, 3*k - 45 = 2*t - 172. Suppose -7*m + t = -1182. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 2\/3, -110, 9\/13 in decreasing order.\nAnswer: 9\/13, 2\/3, 4\/7, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -35. Let b(g) = 27 - 3*g + g - 25*g + 28*g. Calculate the remainder when b(p) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 16453974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 130567*a - 3003568. Calculate w(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -7. Suppose -14*f = -10*f - 28. Suppose 3*r - 2 = f. Sort r, -5, s in decreasing order.\nAnswer: r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 - 56713759625*y + 56713759610*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769418 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 765 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 689687 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnbnwwwn. Give prob of picking 4 w.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -7125860471\nAnswer: 7125860470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16293019?\nAnswer: 523, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xxxnxnxxxnnsnsxnx?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -83 (c) -6 (d) -4 (e) 0.396 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1636719, -3273445, -4910177, -6546915, -8183659?\nAnswer: -9820409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2720084)\/(-15573))\/(3 + 13\/(-3))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*v**2 - 191*v**5 + 2 - 104*v**5 + 96*v**2 - 7*v**3 + 132*v**2 + 5*v**3 wrt v.\nAnswer: -17700*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Let p be x\/(-8) - (-9)\/6. Suppose 0 = -p*h + 5 + 27. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 + 15)*(-4)\/(-10). Is l at most as big as -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 78*b + 2 = -79*b - 21, 5*j = 3*b + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 3*b**2 + 6*b + 10. Let c be u(-4). Solve z - 1 = c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5115964421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -5*r + 7*s - 2*s, 2*r - 3*s = 165. Suppose 5*f - r + 25 = 0. What are the prime factors of 110\/1 - (-12 + f)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/11)\/(4\/(-2)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 + -138. Let i = 68.024 - l. Let r = i - 0.224. Sort -3, -1, r in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -s + 7, 16 = -32*v + 34*v - 5*s. Solve -j = -17*l + 13*l - 15, 3*l = -v*j - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 49652*i + 100050. Determine v(-2).\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 9*v**2 - 7*v + 1. Let o be w(8). Let g = 208 + o. Let k = 45 + g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -24, -3\/5, -11 in descending order.\nAnswer: 0.02, -3\/5, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -19789 in ascending order.\nAnswer: -19789, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 8*o + 9. Let p be z(7). Suppose 4*v + 3*u - 13 = p*v, -2*v + 2*u = 2. Suppose 0 = -5*r + 4*c - 6, 16 = 4*r + v*c. Solve 0*y + y = r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeeyeyyyyy. Give prob of sequence yye.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 16*y + 13. Let d(t) = 2*t - 37. Let i be d(24). What are the prime factors of z(i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 8) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3589*f**3 - f**2 + 2*f - 19. Is w(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*w - 8, -77627*d + 18 = -77622*d + 3*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p = 2294662 + 1619163. What are the prime factors of p?\nAnswer: 5, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 + 3)*(-3*t + t + t)*(1 + 0 + 1).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215245653?\nAnswer: 3, 7, 17, 602929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68368 is divided by 70?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 647, 646, 637, 614, 571, 502?\n\"Answer: -h**3 + 2*h**2 + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91580 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15017913*j**6 + 2*j**5 + 2*j**2 + 856349*j + 3 wrt j?\nAnswer: -1802149560*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(2\/(-15)). Let l be -27*1 + (-4 - u). Let j = l - -36. What is the remainder when 38 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883\/4 + -2555\/12. Find the common denominator of 330\/(-56) - ((-12)\/16)\/(-3) and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 36. Let r(n) = 0 - 155*n + 0 - 1 - 2. Is r(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(21)\/sqrt(3)*3).\nAnswer: -6 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1416)*-111 - 36\/960*20.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/12 + j**3\/6 - 17*j**2 - 13*j - 7. Give k(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 1927*j + 1927*j + 0*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(-55*59\/41536).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 3845 - 1307 = -41*j for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4*m**2 + 2*m**2. Let k(p) be the first derivative of -2*p**3\/3 - 1. Give k(a(j)).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 26. Suppose 0 = -q*k + 36 + 104. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 93923*j**2 - 784*j - 1. Let f(k) = 2*k. Give f(l(z)).\nAnswer: 187846*z**2 - 1568*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.5, 3, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178845 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 24. Give g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*a + 177, -a - 4*a + 169 = -3*j. Let b = 413 - 522. Let f = j - b. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*v - 3*x, -3*v - 4*x - 84 = -5*v. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22110321200 (base 4) to base 16\nAnswer: -294e60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (14\/6)\/((-10)\/(-120))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(26\/7)\/((n\/(n*n**(-1)*n))\/n)**(-28\/9)*(((n\/((n\/n**4)\/n))\/n)\/n*n*n**8)**(2\/19) assuming n is positive.\nAnswer: n**(-730\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 51*g**2 + 75*g - 204. Determine o(-53).\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 1 + 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320 + 317. Let g(l) = l**3 - l**2 + l + 3. Determine g(v).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bbd (base 14) in base 8?\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176))**2 + (sqrt(1100) + 1)**2)*-6.\nAnswer: -10830 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6173949093 - -0.1392\nAnswer: -6173949092.8608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168472120 is divided by 56157370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/4 - (-2)\/(-4). Suppose 440 = v*k - 328. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -1390*b**4\/13 + 122816*b**3\/13 - 62142*b**2 - 1656396*b\/13 - 69984\/13 = 0.\nAnswer: -8\/5, -6\/139, 9, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 17, l: 1, h: 1}. What is prob of sequence lj?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 3*j**2 + 3*j + 3. Let f(o) = -5*o**3 + 7*o**2 + 7*o + 7. Suppose 0 = 7*q - q - 42. Give q*i(w) - 3*f(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {x: 3, t: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11193*m**4 + 16014 wrt m?\nAnswer: 44772*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*i - 10*i. What is the second derivative of -5*f + 4*f - 3*f + 2*f + i*f**4 wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 35 - 2*h**3 - 11 - 10*h**2 - 3*h to g + a*h**3 + i*h + w*h**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let i be 1*(r + -2 - -92). Suppose 46 = l + 5*q, 3*l - i = -0*q - 3*q. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let g = 0.1 + -0.16. Let l = -0.24 + g. Sort -5, b, l in increasing order.\nAnswer: -5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62192 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnnnnnnlllnnlnlnll. Give prob of sequence nl.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -4 - (-767)\/91. Factor -v*h**3 + 2\/7*h + 2\/7*h**2 + 0 + 6\/7*h**4.\nAnswer: 2*h*(h - 1)**2*(3*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*p - 37*p**4 + 0*p**4 - 95*p wrt p.\nAnswer: -444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 5. Let k be (2 + -2 - -5) + 1. Let f(x) = -x**2 + 5*x + 4. Let g(u) = u**2 - 5*u - 3. Let w(l) = -3*f(l) - 2*g(l). Let t be w(k). Calculate d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z - 2*v = -17, 0 = -5*z - v + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15159.18 months in years?\nAnswer: 1263.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.796 times 0.14\nAnswer: 0.11144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - e677aa?\nAnswer: -e677a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118269.\nAnswer: 3, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 3*v - 3. Suppose -4*p + 10 - 2 = 0. Suppose -p*z = 2*l - 4, 3*l + 1 = 2*l. Suppose -3*w = z*n, 5*w - 3*n + 18 = n. Give h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/9563 + -812871\/76504. Calculate the common denominator of g and -61\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*v - 16, -204*x - 18 = -208*x + v. Solve q = q + 2*a, 0 = -x*q + 5*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 16320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 10*l = -4*l - 27. Sort -1, -4, 4, l, -34.\nAnswer: -34, l, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291127931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40\/111 + 1\/37. Let h = -3.17 - 0.43. Let a = h + 4. What is the biggest value in a, 0.3, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4487*g**2 + 3368*g**2 + 2619*g**2)*(1 - 2*g - 1 - 1 + 1 - 2*g - 1 + (0*g - 4*g + 3*g)*(2 + 2 - 2)).\nAnswer: -9000*g**3 - 1500*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 196439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2788)\/(-40) + (-2)\/10)*2?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 8\/(16\/3). Suppose -4*z - 8 - 4 = 0, -5*r - l*z = 196. Let u = r + 41. Solve -4*q + u*s = -0*s + 3, 2*s - 6 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1424 - 3?\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 - 149. Suppose 4*i + 196 = 5*o, 3*o - 88 = -0*o - 5*i. Suppose 0*k - 4*k + o = 0. What is the highest common divisor of k and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0*d**2 + d**2 - 2*d**2 - 2*d**2. Let m(t) be the third derivative of t**4\/6 + t**2. Calculate m(w(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(4*g - 5*g - g + 2*g - 5*g + 4*g + (3 + 0 - 1)*(2*g - g - 3*g) - 11 - 6*g + 11)*(5 + 0 + 0) in the form j*g + h and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 + -1 - -6) + 3 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) 0.15 (c) 3\/5 (d) -0.257 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298202087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.48? (a) 0.1 (b) 31 (c) -4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428858 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 53325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 2, c: 2}. What is prob of picking 2 y, 1 c, and 1 r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -34541007\nAnswer: -138164028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*f + 14, -2*f - 19 = -4*m + 3*f. Let v = 0.1 - 0.1. What is the second smallest value in -1, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/4 + -1)*(-15 - -13). Suppose 23*s - o - 12 = 0. Solve 0 = -0*y + 3*y - 4*g - 2, 2*y - 3*g - s = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10155726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/224*(-17)\/(1530\/2592)?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o. Let p be -5*(o - (-2 + 3)). Let v(n) = 3*n + 4. Let r be v(3). Solve 20 = -5*u + 5*l, -r = p*u - l + 3*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 833, 1498, 2001, 2348, 2545?\nAnswer: 2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6704 is divided by 623.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 2*l**2 + 2*l + 1. What are the prime factors of k(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 5\/8 (c) 0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (13*(-13)\/39*-1)\/(49\/(-21))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6\/11))\/(h*h**27\/h) assuming h is positive.\nAnswer: h**(-292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 137759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1334*m**3 - 795*m**2?\nAnswer: -8004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 3*i + 2. Let g be d(-3). Suppose -4*s - t + 3*t = -22, 0 = 3*s - 3*t - 24. Solve -a + s = g*p, -3*a - 2*a + 3*p = 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + k - 1. What is q(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(1 - 1 + 4)*(-4 + 0 + 3 + (3 - 4 - 1)*(6 - 3 - 1) + 5 + 0 - 1)*(-3*s - 3*s + 2*s) to p*s + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*k**3 - 439*k**3 - 352*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.06284?\nAnswer: -0.87976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1091 + 669. Let h = -121 - p. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -b. Let j be 131\/2 + (-1)\/b. Suppose 5*c = 25, -a - 3*c + j = a. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -191. Let k = g + -48. Suppose -5 = -15*l + k*l. Which is the closest to 0.2? (a) l (b) 0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -481?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 342*p + 13668. Calculate d(-40).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3490 = 108*l + 682 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:21 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*a + 2415 = 12*a - 17*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(2736) + 3)**2 - ((-1*sqrt(2736))**2 + 2 - (sqrt(2736) - (-1*sqrt(2736) + -3 + sqrt(2736) + sqrt(2736)))**2).\nAnswer: 600*sqrt(19) + 11076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89713762622 less than -94?\nAnswer: -89713762716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/3938876?\nAnswer: -7\/3938876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 5*i**4 + 83*i**3 - 2296*i**2 wrt i.\nAnswer: -120*i**3 - 120*i + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + -df?\nAnswer: -f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5948.77 - 52.\nAnswer: 5896.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 18. Let h be a(-6). Let y = h - -18. Suppose n = y*n - 1015. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 6. Let b be k(6). Suppose b = 2*p + 21 - 91. Let f = p + 1. What is the remainder when f is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((128\/36)\/(-16))\/(4\/(-144)) - -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 2\/29, -7\/6 in descending order.\nAnswer: 4, 2\/29, -0.1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/8 - (3\/12)\/(-1). Solve 4*f + 3*h + k = 0, 10 = -h - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/6 - g. Let f(a) be the third derivative of -a**4\/6 - 1026*a**2 - a. Determine l(f(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d + 23*d + 5. Suppose -7 = i - d. Let x(h) = 5*h - 2. Let z(f) = -3 - 2*f + 3*f + 5*f. What is i*z(p) + 3*x(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1389 - 95*a - 801*a - 30*a - 1387 in the form l*a + o and give l.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*m + 49, -7*m + 2*m = -3*p - 45. Suppose -4*v + m = 2*z - 20, -24 = -2*z - 2*v. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*j + 13 + 2 = 0, -j = 0. Solve -2*p = 2*p + i*l - 9, 1 = -l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1 + 71.664447.\nAnswer: 75.764447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -12. Let l(r) = r**3 - 6*r**2 + r + 4. Let b be l(6). Let m be (1 + 2 + -4)\/(4\/8). Put b, 5, y, m in increasing order.\nAnswer: y, m, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:32 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*h, -5*h + 3*r + 24 = -0*r. Suppose u + t - h*t = 60, 2*u - 2*t - 114 = 0. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 26*a - 20. Let y be o(25). Suppose -87 - 13 = -y*h. What is the smallest common multiple of 24 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118112211 divided by 7?\nAnswer: -16873173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -43030861\nAnswer: -172123444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3229368 and -13\/72?\nAnswer: 9688104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 15*k + 195 = 8*h + 227, -3*k = -4*h - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4099418 and -5.\nAnswer: -20497090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948182 divided by 3?\nAnswer: -649394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/8 - 1155*p**3\/4 + 864*p**2 - 3453*p\/4 + 2301\/8 = 0?\nAnswer: 1, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**16))**(-6)\/(n*n**(1\/2)\/n)**(-7) assuming n is positive.\nAnswer: n**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:52 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3411076 weeks?\nAnswer: 206301.87648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/15)*j))\/(j\/(j\/j**(1\/19))*j))**(-42) assuming j is positive.\nAnswer: j**(3668\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 1587 - 2163. Solve 30*w + g*w = 20*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1993.8 - 1690. Let h = r - 304. What is the closest to -1 in h, -2\/13, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let h(g) be the first derivative of 0*g + 3\/2*g**2 - 1. Give h(o(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2*p)*(3*p + 3*p - 7*p) + 49*p**2 - 192*p**2 - 128*p**2.\nAnswer: -272*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(-1*sqrt(133) + sqrt(133)) - sqrt(133))*4)\/(2*sqrt(56)\/(sqrt(8) - (-2*sqrt(8)*2 + sqrt(8)))).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14004 and 60246.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4577227 litres?\nAnswer: 457.7227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 2. Let g be c(2). Let p = -2 + g. Suppose p = z - 4*z + 36. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -n, 0*n + 2*n = -t + 3. Let u(h) = -h**3 - h**2 - 2*h - 1. Let s be u(-2). Let v = 7 - s. Solve t*y + 5 + 10 = v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2929 + 2927 + 41 + -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -679 divided by 2.\nAnswer: -679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*a + 1. Suppose -21 = -5*q + 19. Suppose h - 3*h + q = o, -o + a*h = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*sqrt(171)*2 + sqrt(171))\/sqrt(9))**2 + (6*sqrt(152)*2)\/(sqrt(24)\/sqrt(3)*-5).\nAnswer: -12*sqrt(19)\/5 + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 173\/3. Suppose -3*r - 2*c - 80 - 67 = 0, -r = 4*c + 39. Let x be r\/(-136) + 58\/16. Do i and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4300\/175 + -21 - -1. Let y(n) be the second derivative of c*n**2 + 32\/21*n**3 - 29*n - 1\/7*n**4 + 0 - 9\/70*n**5. Factor y(d).\nAnswer: -2*(d - 2)*(3*d + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24b - -16eb?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {f: 3, z: 1, q: 2, m: 1, u: 2, k: 9}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 14)*((-86367)\/(-6) + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 327957.708.\nAnswer: 327949.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48) - (-1 + sqrt(3) + -3))**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4*(-237)\/9)\/((-2)\/(-450)). Round j to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1253, -2476, -3655, -4778, -5833, -6808?\n\"Answer: 2*u**3 + 10*u**2 - 1267*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/2 - 19*s**3\/4 + 45*s**2\/4 - 41*s\/4 + 13\/4 = 0.\nAnswer: 1, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-196)\/21)\/((-36)\/165294)?\nAnswer: 2, 7, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 7*i. Let m be o(-6). Let a = m + 35. Suppose 3*l + b - 38 = 0, -l - 2*b + 4 = -6*b. What is the remainder when l is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 7*m + 2. Let t be (2\/(-4)*-7)\/((-2)\/(-4)). Let n be h(t). Let x(v) = 3*v + 0*v - n*v. Let p(l) = 2*l. Give x(p(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let i(l) = -2*l**2 - 6*l - 1. Let a = 89 + -88. What is a*i(z) - 6*y(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121 and -0.2876.\nAnswer: 120.7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/20 + 5*c**4\/12 - 44*c - 19. Suppose 2*p = -2*z + 13 - 5, 0 = -5*p. What is v(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1461 or 6\/1091?\nAnswer: 6\/1091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*f + f + 1, -8 = -2*f - h. Suppose v - s - 1 = 0, -5*v - f*s = -0*s - 5. Which is the closest to v? (a) 1\/5 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13870216.\nAnswer: 2, 1733777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.66759562 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*o + 0 + 0 - 61*o**2 - 1081*o.\nAnswer: -61*o**2 + 122*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 484?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*t - 2, -4*w = 3*t + 63. What is the tens digit of 28*(3 - w\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4249, -4259, -4269?\nAnswer: -4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3509*c + 1754484. What is q(500)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/(3\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 = -18, 3*d = 2*f + 3. Let t be 32\/16*(-5)\/(-2). Sort 6, 2, t, f.\nAnswer: f, 2, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*m**6 - 2*m**5 + 23*m**3 + 1573*m**2.\nAnswer: 5880*m**3 - 120*m**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 2*d**2 - 13*d + 10. Determine b(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*x - 10, 4*s = -s - x + 26. Suppose s*t - 9 = 2*t. Suppose 4*u + 16 = -f, -14 + 7 = -3*f - u. Solve -5 = -f*g + t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ploopcp. What is prob of picking 1 o, 1 l, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26314, 105434, 237368, 422116, 659678?\nAnswer: 950054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -t + 1374, -36*i - 2*t + 1371 = -33*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 9*z - 7*z)*(0*z**2 - 3*z**2 + z**2) + 77*z**3 - 206*z**2 + 206*z**2.\nAnswer: 59*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-30)*-5)\/(2\/12). Let b be (-7)\/v + 1 - (-35 - -33). Sort -0.2, b, 0.06 in decreasing order.\nAnswer: 0.06, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + b**2 + 1. Let s(t) = -4*t**3 - 34*t**2 - 105*t - 76. Let w(h) = -s(h) - v(h). Find l, given that w(l) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Let h = 4.282 - 4.222. What is the closest to -1 in 1\/4, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*w - 103*z = 160*w + 11064 - 443, -221 = 5*w + 2*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505844986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 10*h + 8. Let k be w(-8). Suppose -12 + k = 4*a. Let n = -742 - -744. Solve -n*z + 6 = -l, a*l + 3*z = 1 + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(4*c + 0*c + 13*c) + 0*c - 3*c + 2*c + (0*c + 0*c + 2*c)*(1 + 0 + 0))*(2*c**3 + 6*c**4 + 0*c**3 - 2*c**4).\nAnswer: 140*c**5 + 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 6*t**2 - 6*t - 2. Let i be u(-5). Let a be 5 - (-2)\/(-2) - i. Let c = 25 + a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-8)))\/l*l*l*(l*(l*l**(-7))\/l)\/l assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 11*i - 10. What is k(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x. Suppose -16*u + 14*u + 92382 = 0. Let n(i) = -u + 46191 + 2*i + 7*i**2. Determine m(n(a)).\nAnswer: -14*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + 3 - 3 - 2 - 2 + 4 - 3 + (-5 + 4 - 1)*(3 - 5 + 1) - 4 - 3 + 5 + 2 + 1 - 5)*(-i - i + 0*i)*(62 - 34 - 38).\nAnswer: -140*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 10*u + 2*u - 6*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*w, -6 = -2*w - w - d. Let s be (w\/(-9))\/(157\/(-6)). Let l = 292\/1727 + s. Which is the second biggest value? (a) 4 (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v + 1. Let c(z) = -29*z**2 - 7*z - 6. Calculate -c(x) - 6*d(x).\nAnswer: 23*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 402244 and 8.\nAnswer: 402252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/4873 and 37\/253.\nAnswer: 112079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3466*k**3 - 47 - 3573*k**3 + 47 + 7126*k**3.\nAnswer: 87*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/(-10) - ((-8)\/10)\/2. Suppose 3*q - 5*c - 127 = -27, -5*q + c + 152 = 0. Let b = q + s. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1207, -1206, -1205, -1204, -1203, -1202?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 31421?\nAnswer: 31430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -1.98. Let s = -0.15 - -1.35. Let g = 1.3 - s. What is the nearest to 0 in g, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*g + 37 - 48, g + 302 = 16*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*f + 4, f = 3*c - 2*c - 1. Let u = 201 + -5217\/26. Does c = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2284, 4561, 6838?\nAnswer: 9115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i**3 + 4*i**3 - 66*i**3 + 6*i**2 in the form o*i**2 + f*i + d + y*i**3 and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-165))\/(48\/160)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 9*j - 8*j)*(-123 + 123 + 31*j).\nAnswer: 434*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -85509628\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 4*h + 1. Let j be u(-3). Suppose 400 + 293 = 63*n. Let k = j - n. Solve 0*f = k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430495 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1453627 = 32*k + 524827. Suppose 28*b + 17*b = k. What are the prime factors of b?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15176609*w**2 + 5749*w**3 + 15176609*w**2.\nAnswer: 5749*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2101725 (base 8) to base 6\nAnswer: 15543301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 67*m - 46*m - 13. Solve m*h = 5*t - 28, -24 = 3*h + 11*t - 14*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 7}. What is prob of picking 4 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2624 - -13.2624. What is the closest to -0.1 in 5, 2\/7, -1, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-39)\/572). Let r(d) = 5*d**2 - 16*d - 11. Let z(t) = t**2 - 3*t - 2. Determine o*z(p) + 4*r(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + 3 + sqrt(1216) + sqrt(1216) + 0 + -2)*1)**2 + -3.\nAnswer: 3456*sqrt(19) + 175425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-25)*5*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 2. Let j be t(-5). Suppose n - 3*b = 16, 2*n - j*n - 4 = 2*b. Suppose 17*o - 103 + 35 = 0. Solve -r - 1 = -4*w - n, 8 = -4*w - o*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/46 and 26\/575.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba5 + 2?\nAnswer: 1ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 2, p: 1, m: 6, s: 9, l: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 3088*z + 1191968.\nAnswer: 2*(z - 772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {q: 9, m: 2, o: 1, x: 1, g: 3, l: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 19.6. Let n = -6.017 + 0.017. Which is bigger: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 - 27. Suppose -7*n + 9*n = w. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 + 4*o + 4. Let v be s(-4). Suppose 3*a - 32 - v = 0. Is 6\/2*(a + -8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -52. Solve -3*w + 17 = 5*i, -19 = 3*w - i - d*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 30*y**2 + 12*y + 15. Let r(d) = -15*d**2 - 6*d - 8. Let z(k) = -3*q(k) - 5*r(k). Let t(m) = -5*m**2 - 2*m - 2. What is -8*t(b) + 3*z(b)?\nAnswer: -5*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from hhryvnr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21079489.69 - 12.9679.\nAnswer: -21079502.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(128\/(-8))*-48.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15032 and -2.\nAnswer: 30064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 274 = 94. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/(-140)*1\/5\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - -4. Let u = 171\/4 - 43. Which is the nearest to o? (a) u (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2998 or -2999?\nAnswer: -2998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16507\/3 + -5386. Suppose -f + 3 = 0, -5*x - f + 187 + 376 = 0. Let t = k - x. What is the common denominator of -119\/10 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*a - 14*a**2 + 102 - 209*a to the form y*a**2 + n*a + s and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-98 - (32 + -108))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1322\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*t - 2, 4*k - 4 = 4. Let s = -87187021\/3 - -8283089051\/285. Let g = s - 1130. Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7 - 393183*t + 393147*t.\nAnswer: -36*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express (-327 - 836*o**2 + 327)*(2*o - 2*o - 3*o) as h*o**2 + j*o + r + z*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 537 = -606 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 g when four letters picked without replacement from {g: 4, m: 15}?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -70*a**3 - 3*a**2 - 7*a - 9. List the prime factors of m(-2).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, u: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 76*j**2 - 12*j**2 + 0*j**2)*(j + 4 - 2*j + 2*j) in the form m*j**3 + r + h*j + d*j**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**5 + 5*g**2 + 30 + 0*g**4 - 3*g**2 - 5*g**4 - 9*g**5 wrt g.\nAnswer: -120*g**2 - 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0*n**3 - 2*n + 1 - 5*n**3 + 16*n**2 + 7*n**3 - 8*n + 3*n. Let j be o(-8). What is the highest common factor of 627 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 4)*(2 - 2 - 2*u) + 8 - 8 + 5*u + (u - 3*u + 0*u + (4*u - u - 6*u)*(-3 + 3 + 2))*(0 + 0 + 2))*(5 - 4 + 2)*(-3 + 0 + 4).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*s + 32, 0 = -4*b + s + 3*s - 32. What is the common denominator of -67\/2 and (238\/(-5))\/((-2)\/(-2)*b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 100*g + 1292. What is the smallest common multiple of o(-11) and 96?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6084 is divided by 437?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 - 26483*n**2 + 175324080*n + 175350564 = 0. What is n?\nAnswer: -1, 13242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.31 + -13.64. Let k = -0.67 + i. Let o = -19.00058 + k. What is o rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8890 and 508.\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2857.9.\nAnswer: -2859.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 6*i**2 + 9*i + 3. Let x = 13089 + -13086. Determine d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29937 by -51.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5 + 2*n - 6*n**3 + 1 + 15*n**2 - 1 + 3*n**3. Let j be g(5). Suppose -j*f = 5 - 15. Solve 0 = f*w - w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*h**3 - 1483*h**2 + 595*h**3 - 1387*h**2 + 2870*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 4*z**2 - 2*z + 9. List the prime factors of h(3).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41570538161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -2*r - 5*x, -4*r + x = -x - 400. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 7b2b76?\nAnswer: -7b2b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4190*y**6 - 333783 - 3*y - 2*y**2 + 333029 + 3*y wrt y.\nAnswer: -502800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4779182*h**3 - 2586569*h**2.\nAnswer: -28675092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85942 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2188, -4370, -6552, -8734?\nAnswer: -10916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.635141 millimeters to meters.\nAnswer: 0.008635141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7992 and 108?\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -264565*m**2 - 5*m + 1822896 wrt m.\nAnswer: -529130*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 28*v**2 - 12*v. Let k(c) = 11*c**2 - 5*c. Determine -12*k(g) + 5*x(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkq when four letters picked without replacement from vgvgqvgqoquggkkgvgq?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-9975)\/(-38))\/(-25))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1)**(1\/26) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23817766 divided by 14.\nAnswer: 1701269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 30)\/(2\/(-5)*-25).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013259935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xajadaaaa. What is prob of sequence aj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d + 16. Suppose u - 4*g = -0 - 10, u - 5*g = -12. Let j be (-1)\/4*(u + -10). Suppose j*r = 2*r. Give m(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -271. Let u = -68 - i. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 22026*o - 44206. Give m(2).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -818*f**3 - 14332*f**2 - 347794*f - 85?\nAnswer: -4908*f - 28664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128963676 a multiple of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 + 149. Find the first derivative of 5*a**z - 29*a + 46 + 29*a + 3 wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 10*x**2 + 41*x + 332. Let w be q(-11). What is the closest to 6\/13 in w, 1, -0.4, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2464 * 0.3\nAnswer: 739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/3 + 4\/6. Let z be (-4)\/4*(-15)\/5. Let q(v) = -6 - 6*v + v**3 - z*v**2 + 4*v**2 - v**2 - 5*v**2. Determine q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452032 divided by -2018?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 13, -2, 141\/4, -2\/13, 0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 18*v - 4. Let k be u(-7). Let n = k + -22. Suppose -4*f = n*f - 594. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5071136.\nAnswer: 2, 7, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 + 2*d + 12. What is the lowest common multiple of j(5) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18406 - 3*z + 18406.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.33 + 0.33. Let y = 0.0405 + 0.1595. Sort 0.04, y, t, 3.\nAnswer: t, 0.04, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**15)\/(p**0\/p))**(-7) assuming p is positive.\nAnswer: p**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 1, i: 2, r: 2, n: 1, c: 1}. What is prob of picking 1 d and 2 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 25. Suppose -d*o = -65 + 20. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/27 and -46\/1702041.\nAnswer: 15318369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335068663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, 3, 7426, -1, -0.5, 0 in descending order.\nAnswer: 7426, 3, 3\/11, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:18 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -71*x**8\/56 + 59*x**4\/6 - 46*x. Find the third derivative of b(l) wrt l.\nAnswer: -8520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -8*f**3\/3 + 9*f**2\/2 + 6*f. Calculate the remainder when s(-4) is divided by -1*(1 - 6)*5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 4*m**2 + 3. Let f = 243 + -240. Let d(w) = -114*w - 5*w**3 + 2*w**3 - 8*w**f - 5 - 7*w**2 + 114*w. Give -7*b(p) - 4*d(p).\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 - 109. Is 46\/3 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 3*l**2 - 26337*l - 157694. Determine i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4))**(4\/7))**(-47) assuming j is positive.\nAnswer: j**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 648309898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - k**2 + k + 0*k**2 + k**2 + k**2 + (3 - 5 - 3)*(0*k**2 + k**2 - 2*k**2).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 14. Let y be k(-6). Solve -2*i = 2*p + y, -1 - 10 = i - 2*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from nttnttttnnt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 435.\nAnswer: 2\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0241309 rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**3 + 4*g**3 - 2*g**3)*(4 + 6*g - 14*g - 1) as y*g**4 + k*g**2 + r*g**3 + d + n*g and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**2 - 4*b**3 + 543 + 8348*b**4 - 8218*b**4 + 2506 + 6*b**2 wrt b?\nAnswer: 520*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033320200 (base 4) in base 7?\nAnswer: -2531636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - w**3 + 7*w**3 - 7*w**3 - w as c*w**2 + r*w**3 + a*w + g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**6\/40 + 14*j**5\/15 - 7*j**4\/3 + 75*j**2. Let n(q) = -2*q**3 + 5*q**2 - 5*q. Give -56*n(k) + 5*u(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -71*x + 157*x - 81*x + 75, -9*m = 3*x + 15 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3)\/((-67)\/201). Solve -4*m - 3*g + 11 = 0, -h*m - g = -8*m - 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 6*j**2 + j + 3. Suppose c + 1 = -2*t + 9, 5*c - 10 = -5*t. Let g be u(t). Let k = g - 4. Solve b = k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 - 94146*a**2\/7 + 2215961472*a\/7 - 4431546368\/7.\nAnswer: (a - 47072)**2*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 4, w: 2, c: 2}. What is prob of picking 1 n and 1 x?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i - 1046 = -4*s, -3*s = -2*i - 784. Differentiate s*n**4 - 133 + 73 - 176 with respect to n.\nAnswer: 1040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115853.9950947 + -115854. What is s rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119))\/sqrt(7) + 4 - ((1 + sqrt(1700) - sqrt(1700)) + -5 - sqrt(1700)).\nAnswer: 8 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201431 is divided by 100640?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/19))**(-5\/12))**44 assuming o is positive.\nAnswer: o**(110\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20031 and 174816.\nAnswer: 1922976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1830 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 6724530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 11)*(-4*h - 3*h + 12*h) to m + t*h and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 + 7. Let k(t) be the first derivative of -t**2\/2 - 119. Calculate z(k(l)).\nAnswer: -6*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3151 by 2.\nAnswer: -3151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2580 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102297 and 38370891?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6233740 is divided by 214949.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*f + 860, 0*f = -4*r - f + 1154. Suppose 15*i = 18*i - r. Suppose 3*a + 203 = 5*h, -5*h = -5*a - 99 - i. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 + -5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/(-9)*(2 + 1). Let b = -7 - j. Solve l = 3*h + 14, -l = 4*h - 5*l + b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*a + 0*a - 8 = 0, 0 = 5*h + 3*a - 20. Suppose 312 = 4*f + 2*d, 452*f - 448*f - 5*d - 284 = 0. What is the remainder when f is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/(-45) - 52\/54. Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13868 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let j be (-24)\/60 + 27\/5. Suppose -5*r = -r + j*g - 59, -41 = -4*r + g. Solve r = p*w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*z**3 - 3*z + 2*z + 133*z**3 - 8*z**2 in the form q*z + l + f*z**2 + a*z**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -6*z**4 + 7*z**3\/6 + 6*z**2. Let q be j(3). What is the hundreds digit of (q\/(-35) - -5)\/((-1)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 10. Suppose t*z - 1 = 24. Suppose -19 - 1 = -z*k, u + 3*k - 20 = 0. Calculate the highest common divisor of u and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -18. Let z = 0.8 + c. Let l = -1.1985 - z. Round l to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20060 + 212?\nAnswer: 20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/(-3)))\/(133\/266).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/120 + q**5\/10 + q**4\/4 + 11*q**3\/6 - 12*q**2. Let n be o(7). Solve n*r = 0, 6*j + 10 = j + 2*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1179 divide 79448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12606 divided by 160\nAnswer: -6303\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - z + 55, -14*z + 18*z = -4*m + 52. Let c = -70 - -140. Suppose -c - m = -4*v. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-2 - -2 - -1). Let z = 48 - j. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(17) + -2 + 5 + (-2 + sqrt(17))*-4)*-1)**2 + 4.\nAnswer: -66*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/42270 and -83\/84540.\nAnswer: 84540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 26. Let b = 168 + -114. Let k = j - b. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33758624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6 - 1 - 2*n**2 - 128*n**3 - 6 in the form u*n**2 + g*n**3 + c + o*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 47256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*y + 27*y - 15*y + 2 as v + u*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*o - 122969 = -122959, -27*b + 135 = -4*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -3*f - 59, 0 = w - 2*f - 9. Suppose w*g = 17*g - 164. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/5 - (-90)\/(-225)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o - 8. Determine n(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) + (-4522)\/4 + -5. Let h = v - -1608. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x - 10 = 0. Let y be (-2)\/4*(0 + x). Let f = 119 + -831\/7. What is the nearest to -1\/3 in y, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37723 and 238?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77400*c**2*i**2 - 8*c**2*r + 4*c*i**2 - 2*i**2*r + 5*i*r - 3*r - 284 wrt c?\nAnswer: -154800*i**2 - 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000033688773 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 25*h**2 + 6*h - h - 7*h - 18*h**2. Let k(a) = -13*a**2 + 5*a. Give 2*k(d) + 5*w(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569608744 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 6*g**2 + 0*g**4 + 0*g**5 - 1\/15*g**7 + 0 + 0*g + 0*g**6 + 5\/3*g**3. What is the derivative of i(t) wrt t?\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2985794*43\nAnswer: 128389142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 109.9640367 milliseconds?\nAnswer: 0.00000018181884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.79 - 0.14. Let s = g - 0.65. Let k = -61 + 247\/4. What is the third biggest value in 2\/3, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(177*n + n**2 - 2 - 82*n - 81*n) to the form h + l*n**2 + r*n and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -64. Solve s + h*o = -20, 5*s + 28 = -0*o - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/(3\/(-8)). What is the units digit of (u - 0) + -1 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scjxxjjsaajkksk. What is prob of picking 1 x and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60026, 119867, 179546, 239057, 298394, 357551?\nAnswer: 416522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311.2, 6, 3, -1.\nAnswer: -311.2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q - 21. Let i be b(-18). Let m = -64 + i. Solve m + 1 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f*m**2*v**3*w**2 + 2*f*m**2*v**2 + f*m - 182*f*v**3*w**3 + m**2*v**2*w**2 - m**2*w**3 + 3*v**2*w wrt v.\nAnswer: 30*f*m**2*w**2 - 1092*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1275334 divided by -472.\nAnswer: -637667\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -1086, -1114, -1162, -1236, -1342, -1486, -1674?\nAnswer: -1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 10*v**2 - 27*v - 31. What is the remainder when a(-8) is divided by 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*w - 168. What is the remainder when 118 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*a - 60, 77 = 5*a - 5*j + 2. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18893549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 8*u**2 + 4 + u**2 + 4*u**2 + 3*u. Let w(z) = 2*z**2 - z - 2. Calculate 3*t(d) + 7*w(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1365025006?\nAnswer: 1365025004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -36*w + 2. Let c(s) = 319*s. Give p(c(x)).\nAnswer: -11484*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + -7 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 119*y - 737. Give k(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6861 - 3419 + i - 3423. Suppose -r - 30 = -3*r. Is 7 a factor of z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from ddhhzdhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*1*(-2*(sqrt(242) + 1) - sqrt(242)))**2 + (-6*sqrt(242)*-2*-3 + 0)**2.\nAnswer: 528*sqrt(2) + 322362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37098 divided by 2061.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1614 + 6197. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002777088538 rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q + 1. Let z(a) = 50*a**2 - 49*a + 2. Let l(u) = 6*s(u) - 3*z(u). What is the second derivative of l(k) wrt k?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1395659*l**2 + 68706*l?\nAnswer: -2791318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 144443*a**2 - 3*a + 4. Let v be z(-3). Let h be 1\/3 - 4\/12. Suppose h*u = -u - v. What is u rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258468 * 0.06\nAnswer: -15508.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.1. Let p = 0.036232 - -0.0638. Let i = t - p. Round i to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1643 is divided by 468?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from erepqxpqqddrer.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4079\/35 - -750\/7. Let r = 39 - 48. Let j = r - w. Sort 0.02, j, -3\/5 in increasing order.\nAnswer: -3\/5, 0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-192))\/((-3)\/36*-3)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35225 + 1cb?\nAnswer: 35412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53810749 is divided by 3170.\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026827 rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 7*t + 5*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.7117um in millimeters?\nAnswer: 0.6457117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/4 - a**3 - 5*a**2. What is the derivative of i(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(-7 + (-87)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43, 1.6, -4, -1\/3, 0.1, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 = j, -4*p - 2*j - j + 21 = 0. Let t be (p + 58)\/(747\/(-375) - -2). Let v = -1090 + t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249957936 divided by -272.\nAnswer: -918963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 896 + -676. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/4 + d**3\/2 + 2*d + 5. Let p(j) = -j. What is l(n) + 5*p(n)?\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2432956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218 + 483. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 131. Give h(-37).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 12*l**2 - 11*l + 14. Let b = -1 + 0. Let m be (0 - 1)\/(b\/(-11)). What is the units digit of y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*f**3 + 192*f**3 - 948*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8\/5, 0.1, 0.4 in descending order.\nAnswer: 2, 0.4, 0.1, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 3*b**2 + 3 - b**2 + 2*b**4 to z*b + n + d*b**3 + s*b**2 + f*b**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 8*v**2 + 7*v - 4. Let d be q(7). Let z(t) = -4*t - 13. Let x be z(d). What is the units digit of 68*x\/6*2*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*c**4 + 81*c**4 - 164*c**4 - 4*c**3 + (-c**3 - 2*c**3 + 4*c**3)*(1 - 1 - c) - 57 + 57 - 7*c**4.\nAnswer: -14*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from rsfssgks.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, t: 1, x: 1, b: 1}. Give prob of sequence nt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98)*-2*6 + -3 + 0)*2*5.\nAnswer: 150 + 4200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -46*j**2 - 259*j + 98. Determine n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3071 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*((-54)\/6)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -195, -4, 0.1, 9\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 - -0.23. Put z, 5, -1\/5 in decreasing order.\nAnswer: 5, z, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19616482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 12*w - 5*w - 24 = 0, -2*b = -2*w + 16 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > 6.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let j(z) = -4*z - 1. Let p be j(o). Factor -3*c + 2 + 18*c**3 - 4 - 17*c**p.\nAnswer: (c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/4)*p\/p**1*p)\/(p**(-11)*p**9\/p))**(22\/7))**(-14) assuming p is positive.\nAnswer: p**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 m, and 1 e when four letters picked without replacement from {m: 2, b: 5, e: 3, k: 4, d: 1, n: 5}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 102*g - 56*g - 48*g - 4*u, -17*g - 4055 = 58*g + 5*u for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-591)\/(-2758)*-78*6\/(-27)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 4, -28 in descending order.\nAnswer: 4, 2, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 55*i**2\/2 + 41*i - 1065. Let a(p) = -2*p**2. What is a(n(h))?\nAnswer: -6050*h**2 - 9020*h - 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 2, q: 7, u: 5, y: 1, t: 3}. Give prob of picking 1 t and 1 w.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 divided by 324.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Solve l = -u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2358 + 2354. Let z(m) = -2*m**2 + 10*m + 1. Let b(y) = -y**2 + y. Let r(h) = 4*b(h) - z(h). Calculate r(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -2, -3 in increasing order.\nAnswer: -3, -2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20779482, -41558960, -62338440, -83117922, -103897406, -124676892, -145456380?\nAnswer: -166235870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-3)\/2*(-4)\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 5*v - 2979. Let p be q(-49). Calculate the highest common factor of 36 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-7)\/((-14)\/12). Suppose 23*g = 28*g - 125. Let d = g - p. Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, u: 7, k: 7}. What is prob of picking 2 f and 1 u?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*p - 2. Let l = p + 63. What is the remainder when l is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -6*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -6, 2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let x be k(-2). Suppose -8 = -x*s + 2. What is the remainder when 8 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351202 (base 6) in base 10?\nAnswer: 76754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.1, 8049, -1\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 93.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*l - 84 + 315*l + 4*l**2.\nAnswer: 4*l**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**3 - 3*d**3 + (5*d - 2*d - d)*(-4*d**2 + 3*d**2 + 3*d**2) + d**3 - 4*d**3 + 2*d**3 - 33*d**3 + 92 - 92 + (2*d + 0 + 0)*(-3 - 2*d**2 + 3).\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/105*18 - (-2)\/5. Suppose 4 = -2*k + z. Suppose -216 + 16 = -k*w + h, 3*w = -5*h + 188. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 1. Suppose 0 = a + 4 - 5. Let s(n) = -n - 1. Let t = 250 - 255. Let h(p) = a*q(p) + t*s(p). Calculate h(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113180455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -156676 divided by 4?\nAnswer: -39169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1267*m - 919. List the prime factors of j(-8).\nAnswer: 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*w**6 - w**2 + 72?\nAnswer: 29880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlgwwevwleglv. What is prob of sequence we?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/29))\/(j\/(j*j**(-23\/4))))**(-4\/11) assuming j is positive.\nAnswer: j**(555\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 4*c, c = 3*z - 71. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*j + 11 = 3*m, 3*m - 8 = j. Suppose -4*f = 2*x + 30, -265*x + 266*x = -f - 11. What is the nearest to 1 in x, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-7385*y + 17832*y - 9062*y).\nAnswer: -2770*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 29. Let r = 67 + -67. Suppose 0*m = 2*m + 3*q + 20, r = 4*m - 5*q + 18. Let t be w(m). Solve 0 = 2*u - 3*c + 1, -u + 3*c = t - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 86*z + 323. Let i be y(-25). Solve i*m = 253 - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 343*t - 381*t = 30, 2*t + 2 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 5. Let s = 4 + i. Let b(x) = 12*x + 2. List the prime factors of b(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59.6 (b) -2\/11 (c) -481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103719 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - q + (2*q + 1 - 1)*(1 - 2 + 0) + q - 1 + 1)*(277 + 619 + 107) as r + h*q and give h.\nAnswer: -2006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68936328 and 457542.\nAnswer: 206808984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010002111200210121 - 11?\nAnswer: -10010002111200210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2)*q))**10\/(q**(-1))**(9\/4) assuming q is positive.\nAnswer: q**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608748 divided by -4.\nAnswer: -152187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -24, -73, -154, -273, -436, -649, -918?\n\"Answer: -l**3 - 7*l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*v - 44, -2*v = -146*f + 147*f + 8 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 95105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-8)\/b*b))\/b)\/((b\/(b**7*b*b)*b)\/b*b))**(-2)*(((b\/(b**(3\/2)*b))\/b)\/b)\/(b\/(b*b**(-6)\/b*b))*(b*b**(-2))**(-13) assuming b is positive.\nAnswer: b**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3398887, 3398884, 3398881?\nAnswer: 3398878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 9\/10222, -6\/23 in ascending order.\nAnswer: -6\/23, -1\/5, 9\/10222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 11\/300*t**5 + 0*t - 2*t**2 - 1\/15*t**3 - 1\/24*t**4 + 0 - 1\/150*t**6. What is j in d(j) = 0?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 212. What is the least common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -134. Let u(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/6 - 2*v**3\/3 - v**2. Calculate u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/126 and 24\/77?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 - 1\/27*m**3 + 1\/189*m**7 + 1\/27*m**4 + 0*m**5 - 2\/135*m**6 + 0*m**2 + 48*m. Factor s(k).\nAnswer: 2*k*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/120 - 3*j**4\/16 - 2*j**3\/3 + 7*j**2 - 1. Let z(n) = 0. What is n?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 281\/28121 or 0?\nAnswer: 281\/28121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 24260998*d**3 - 98099304977982*d**2 + 132221284327519672978*d + 528886706900511044008.\nAnswer: -2*(d - 4043501)**3*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - s = 4, 3*f = 3*s + 1 + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 22, 29, 34?\n\"Answer: -x**2 + 12*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:18 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -15. Suppose -3*q + 49 = w + 11, -2*w = -q - 41. Let s = t + w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 6*n**3 + 31. Let q(y) = y**2. Give a(q(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*n - j + 35, 2*j + 12 = 4*n. Suppose 208 - 2078 = n*t. Is (-14242)\/(-34) + (-11)\/(t\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28004085*s**2 + 7421524*s.\nAnswer: -56008170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 0 = 2*n - 3*p - 21, 0 = -9*n + a*n - 3*p + 21. Suppose -n*j + 76 = -2*j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m - 12. Let x be b(-9). Find the common denominator of 7\/16 and (-67)\/(-70) + 6\/x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -75?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/234 + 126\/(-26) - -5. Suppose 36*w - 55*w = i. Solve w = 6*g - 7*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*w**5 - 4*w**2 + 36*w**5 + 40*w**5 wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 2. Let l be q(-2). Find the second derivative of l*j + 6*j**2 + 1 - 6*j - 1 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Suppose 4*t + 0*t - 5*b = 12, -5*t - 2*b + 15 = 0. Suppose w - 2*w = -4. Let x(u) = -u + t*u - w*u. Calculate r(x(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1139634 (base 11) to base 6.\nAnswer: -110345341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 22*j + 8 = -2*m, -j + 5*m + 27 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 - 6*b + 4. Calculate d(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.78 - 2.22. Let l = -1 - h. Let k = l + -0.4442. What is k rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1883405 or 1883371?\nAnswer: 1883405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6\/13*y**3 + 1120\/13 - 166\/13*y**2 - 1572\/13*y = 0?\nAnswer: -8, 2\/3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + z + 26 = 0, 0 = -3*k + 2*z - 47 - 6. Let v = -12 - k. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 2. Let o be x(3). Let h = 571 + -567. Calculate the greatest common divisor of o and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13421 is divided by 273?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3379*l = 3378*l + 80, x + 1 = 5*l for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-890)\/(-55) - 4\/22. Suppose -5*p - q + 341 = 0. Calculate the remainder when p is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/3 + 3. Let s be (-16)\/(-6)*(-12)\/8. What is the nearest to f in 4, -4\/5, s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 + -725\/2. What is the common denominator of i and 125\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*84\/(-30)*(-38)\/(-133).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 4. Suppose -3*t = 2*t - 15. Let x(m) = -7 + 0*m + t*m - 12*m. Suppose u + 5 = -p + 3*p, 0 = -2*p + 4*u + 2. Determine p*x(j) + 5*n(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002801 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.072175 and 5.\nAnswer: 0.360875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211474.83 rounded to the nearest one thousand?\nAnswer: -1211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1501, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iubu when four letters picked without replacement from {b: 1, u: 2, r: 1, i: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116.96 + -117. Let x = g - 3.96. Let c be 0 + 9\/5 + -2. What is the nearest to 1\/2 in 1\/3, c, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -26. Let p be 1*3*(-52)\/39. Sort -2, p, b in increasing order.\nAnswer: p, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + 12?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*x - 20 = 0, -2*y = y + x - 15. Suppose y*w - 3*n - 168 - 74 = 0, 176 = 4*w + 2*n. Calculate the highest common factor of w and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 28. Let w(t) be the second derivative of t**5\/60 - 3*t**3\/2 + 13*t**2\/2 + 17*t. Let x(l) be the first derivative of w(l). Calculate x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + w = 16, 48594*u - 48596*u - 7*w = -76 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 262 = -5*a - 263, a = q - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*w + 12, 4*w + 4 = -5*y + 15. Find the second derivative of 23*q + y*q**2 + q + 1 + 9*q + 6*q**3 wrt q.\nAnswer: 36*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in 3\/104, -3, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.533051 litres in millilitres?\nAnswer: 2533.051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*3552\/(-240) - -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -630, -633, -636, -639?\n\"Answer: -3*q - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 19014*m - 19003*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/11)\/(r*r**13*r*r) assuming r is positive.\nAnswer: r**(-179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43700885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -961\/115 + 183\/23. What is the second smallest value in -8, -4\/3, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3230951 years?\nAnswer: 3.8771412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from fmfofkfkvfrk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -5*q**4\/16 - 329*q**3\/24 + 11*q**2\/4 + 9845*q. Factor b(h).\nAnswer: -(h + 22)*(15*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -140ce8?\nAnswer: 140d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 9*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*t**4 - 163 wrt t?\nAnswer: -336*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44482971 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/6 - 25*d**2\/2 + 17*d. Let y be w(0). What is the least common multiple of 22 and (12\/5)\/((-10)\/y)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(203\/49 - 4). Let r = 6.93 - -0.07. What is the closest to 0 in 2\/11, l, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.989 + -0.011. Let x = 47 + q. Let f = x + -16. Which is greater: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4993 divided by -4?\nAnswer: 4993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50327*y**2 - 5*y + 5*y - 6750*y**2.\nAnswer: 43577*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1543 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 45 = -0*y - q, -2*y + 60 = -4*q. Let m = 41924 - 41916. What is the lowest common multiple of m and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/3*(-6105)\/(-1320)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 43. Let s be -14 + 1*h\/4. What is the remainder when 3*(2 + (-292)\/s) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -16. Suppose 3*c = -c + 40. Let q be (u\/5)\/(2\/c). What is the highest common divisor of q and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4296.000003686 - 4296. Round h to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783235259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/36*(-8)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 0.1, -5, 3, -18, 230.\nAnswer: -18, -5, 0.1, 3, 7\/2, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {o: 6, f: 3, k: 3, n: 1, g: 1}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7118.024t to kilograms.\nAnswer: 7118024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345121 + -233134?\nAnswer: -1022255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.85933 centimeters to kilometers.\nAnswer: 0.0006285933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/28 and 59\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 3969?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 162\/24)\/((-4)\/16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165487089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(128)*1)**2 + -4 + sqrt(6)\/sqrt(3).\nAnswer: sqrt(2) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102308 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: What is 129789 divided by -6831?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 253*x**9\/504 + x**5\/30 - x**4\/6 + 41*x**3\/3 + 2*x**2 + 4*x - 122. What is the third derivative of p(i) wrt i?\nAnswer: 30360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + -187. Find the second derivative of 0 - 1 + 7*u + 89*u**n + 13*u**2 - u - 21*u**2 wrt u.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10405 + 10404. Which is the biggest value? (a) 5 (b) l (c) 16 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.328795 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32422 is divided by 134.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/162 and 58\/9.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109393\/1340785 + 33\/2047. Find the common denominator of 40\/1179 and x.\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 30. Suppose -4*d + 31 = -3*c, 3*d = 2*c - 6*c - 8. Suppose d*m - m = 0. Solve m = -3*z - z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/6*(-21)\/77.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbmtvmbbmtmmmtva. What is prob of picking 2 b and 1 a?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w**4 + 4448636*w**3\/7 + 1174008126*w**2 - 1966094720*w\/7 - 109224200\/7 = 0 for w.\nAnswer: -3695, -2\/43, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115537965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -45. Let z = 68 + -66. Sort z, j, -6, 0 in increasing order.\nAnswer: -6, 0, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 207?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1963572686 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/31 + 1562\/3875. Suppose -15*a + 12 + 3 = 0. Is a < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.193714ml in litres?\nAnswer: 0.002193714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 54*t - 24. Give s(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2058207 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**3 + 3*x**2 - 1. Let a be c(3). Let y = -19 - a. Does 26 divide ((-36)\/(-27))\/(2\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.078766 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.72 - 0.42. What is the closest to 0 in h, 15, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -44*c. Let t(v) = -4*v**2. What is g(t(i))?\nAnswer: 176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.71, -1\/5, -87?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 44 - (0 + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*u - 17. Is 15\/(1 - (-3)\/u) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 18018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90022.77t in kilograms?\nAnswer: 90022770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a70 - 66?\nAnswer: 4a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88888, 88901, 88904, 88891, 88856?\nAnswer: 88793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14485 is divided by 161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 4*z - 1)*(4 - 6 - 1)*(z**3 - z**3 + 5*z**3).\nAnswer: -30*z**4 + 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3 - 21*x**2 + 35*x + 1520. Give l(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(18))\/sqrt(2).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:45 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115196 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 - 1. Let i(d) = -1 - d**3 - 2 - 5*d**2 + 0 - 6*d. Let q be i(-4). Let c be (q\/(-3))\/(2\/(-6)). Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12871 - 12876. Which is the biggest value? (a) f (b) 3\/2 (c) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -n + 17, -4*a + 0*n + 22 = 5*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 3, n: 3, m: 4}. Give prob of picking 1 q and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r*r**2*r)\/(r**(1\/2))**43 assuming r is positive.\nAnswer: r**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -17 - (10 - 2)) + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -722 less than or equal to -724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.053 + 0.053. Which is the third biggest value? (a) 5 (b) -1\/5 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = 2*x - 60 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2762258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20031*t**3 - 612*t**2 - 8*t.\nAnswer: 120186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -2.3. What is the closest to 2 in 3, -0.3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 138374, 138291, 138150, 137951, 137694, 137379, 137006?\n\"Answer: -29*w**2 + 4*w + 138399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-822)\/(-8) - (-19)\/76 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1929 * -3\nAnswer: -6.5787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ab8 - 2?\nAnswer: ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56320\/6144)\/(10\/(-6)*1).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33847, 135045, 303709, 539839, 843435, 1214497, 1653025?\n\"Answer: 33733*z**2 - z + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/64*(-84)\/70*(-584)\/73?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39404*x**3 + 73120*x**3 - 33721*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Let h be (-2020)\/(-15) - (-2)\/(-3). Suppose 0 = -i*u + h - 24. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:14 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8*g - 2*g**4 - 1 + 4 - 1 to w*g**2 + m*g**4 + h*g**3 + a + t*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 4*sqrt(125) + -1).\nAnswer: 6 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - t - 8*t + 0*t + 11*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2744 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-18)*40268 + (-4)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -43, 5 in decreasing order.\nAnswer: 6, 5, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = g. Let p be 1*(-2)\/g - 241\/(-4). Calculate the greatest common divisor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*q + 243 = -1025, 5*p + 2*q - 1576 = 0. Suppose 16 = -4*l, -l = -s + 3*l + p. Suppose -7*r + s = -2*r. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (420\/819)\/((-79)\/(4977\/14))\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23835 - 23835. Solve 0*h = -4*h - 4*t - 28, z = -t for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129424 divided by 564712?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/70 - ((-12)\/60 + (-6)\/10). What is the closest to 178 in -0.2, -2\/11, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699904699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -74226 - 1470251639\nAnswer: -1470325865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 - 5*o**4\/24 + 5*o**3\/6 - o**2. Let x = -11097 - -11103. Calculate u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*-3*(-84 + 96) + 2047\/(-161).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 40*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23106, -23104, -23102, -23100?\n\"Answer: 2*v - 23108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2, j: 1, y: 3}. Give prob of picking 1 p and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20170556879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1673 - -1679. Solve -8*v**2 - 10\/3*v**3 - u*v - 4\/3 = 0 for v.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 37*-2*(-138)\/4. Let m = 4661 - z. Let u be m\/(-20) + 4\/10. Round u to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(9\/5))**8 assuming t is positive.\nAnswer: t**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37\/60 - -2\/3. Let r(o) be the third derivative of o**2 + 1\/8*o**4 + 0 + 0*o**3 - l*o**5 + 0*o. Let r(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let o(f) = 2*f. Let u(l) = -7*j(l) - 4*o(l). Let a(s) = -1. Let q = -11 - -6. Let z(k) = 2*k + 5. Let x(b) = q*a(b) - z(b). Determine u(x(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 195, 434, 769, 1200, 1727, 2350?\n\"Answer: 48*h**2 - h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13958*q**3*w + 15*q**3 - 123*q**2 - 2*q*w**4 + 2*q wrt w.\nAnswer: 13958*q**3 - 8*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(17) - (0 + sqrt(17))) + sqrt(17) + sqrt(17))**2 - sqrt(17) - ((1*sqrt(136))\/sqrt(8))**2) + -2 + 1*(sqrt(17) + -3).\nAnswer: 71 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*c - 181, 0 = -c - 3*s + 48 - 6. Suppose 6*u - c = 3*u. Suppose 3*y - u = 18. Calculate the lowest common multiple of y and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33317.\nAnswer: 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/1680 - b**7\/8400 - b**6\/1200 + b**5\/10 - 13*b**2. Let m(k) be the third derivative of g(k). Let m(j) = 0. Calculate j.\nAnswer: -1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -594, -980, -1534, -2310, -3362, -4744?\nAnswer: -6510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35235439.\nAnswer: 35235439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-16))\/((-2)\/8). Suppose 0*o - r*o = -12. Let x(m) = m - 2. Let c be x(4). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 4. Let b be k(-6). Suppose 5*p + 666 - 151 = 0. Let o = p + 100. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28084*q**2 + 4138*q wrt q?\nAnswer: 56168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/8 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:18 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - j - 8. Let u(v) = 14*v**2 - 3*v - 17. Let t(b) = -2*u(b) + 5*x(b). Determine t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x - 3. Let p be q(-3). Let r = -1283\/9 + 143. Put r, p, -1\/5 in ascending order.\nAnswer: -1\/5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17636, -35259, -52914, -70607, -88344, -106131, -123974, -141879?\nAnswer: -159852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5793691.8117 and 349?\nAnswer: 5793342.8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r - 3. Suppose -4 = -5*n + 2*w + 11, 5*n + w = 0. Let d be n\/(-2)*-2 + -5. Is p(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*sqrt(187))\/((sqrt(11) - sqrt(55)\/sqrt(5) - sqrt(11))*-5) + 4)*2 + -5.\nAnswer: 3 + 36*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:01 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**9\/63 - 55*f**8\/56 + 5699*f**5\/60 + 466*f**2. What is the third derivative of s(v) wrt v?\nAnswer: -960*v**3 - 19800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3210957.\nAnswer: 3, 59, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3 - 42*s**2 + 2*s**3 + 35*s**2 + 3*s**5 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59907.7 rounded to the nearest one hundred?\nAnswer: -59900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3024 and 59\/1512?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -66523\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1746\/4656)\/(2\/(-48))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 153\/(-54) + (-1)\/2. Let f = -835 - -833. Is f smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 246065.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 13. Let q be u(-5). Let m(k) = k**3 + 3*k**2 + 2*k. Let a be m(q). Is 2 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a - 9. Let x be d(0). Let j = x - -14. Suppose 0 = -5*h - f + 340, -2*h + 114 = -j*f + 5. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/8, -0.2, 0.4, -1, -5342, -6\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1065 + 8545\/8. Let f = -17834937\/11 + 1619793. Let a = 1570 + f. Find the common denominator of a and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -63. Suppose -56 = h - 6*h - 2*w, 3*h = 4*w + 44. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 6009907.\nAnswer: -1201981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27364385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfffcmvvmcwa. Give prob of sequence cv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 145341755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205849602*g**4 - 505009*g**2 + 24?\nAnswer: 4940390448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293025?\nAnswer: 5, 51721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 - 51. Let a = u + -52.95. Let k = 5.05 - a. What is the second smallest value in -0.5, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = -4*h. Let u = -8 - -5. Sort h, -2, u.\nAnswer: u, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14568)\/(-36420)*10\/286.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(4\/3)*y*y\/(y*y**(-2\/29)*y) assuming y is positive.\nAnswer: y**(209\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 - 2*b**2 - 2*b + 2. Calculate n(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -415*-0.2\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w + 30. Let k(y) = -y - 2. Let h be k(-4). Suppose -p + h = -5. Calculate the remainder when w is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {m: 1, z: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {n: 1, l: 4, q: 3, d: 3, e: 1, k: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 34*b**2 + 15*b - 164. Calculate the remainder when q(12) is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -880, -1\/4, 0.03?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743 + 902. Solve 150*j - g*j = 54 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02337 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130035?\nAnswer: 3, 5, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-26)\/(n**(22\/5)*n)*(n**(1\/5)\/n*n)**(44\/5))**(6\/5) assuming n is positive.\nAnswer: n**(-4446\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-11 - (2 + -4) - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*w**3 + 137*w**2?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6 = 2*i, 5*z - 2*i = -185 + 163 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/(-8*(-1)\/1212). Suppose 0 = 5*p + 10, v - 4*p - 510 = o. What are the prime factors of v?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -501, -167, -1\/3, 13\/9, -5\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -411 - -6163\/15. Find the common denominator of r and ((-3035)\/250 - -4*2)\/((-42)\/35).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.52 + 16.52. Sort n, -3, 2, 1\/6 in ascending order.\nAnswer: -3, 1\/6, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 424 - 412. Let c = -242 - -251. What is the lowest common multiple of c and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20613997?\nAnswer: 20613997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -18. Let l(q) = -160 + 206 + 3*q - 33. Give l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 16. Let z = m + 15. Let v be 12\/(-8) + 34\/12. Sort v, z, 0.2 in descending order.\nAnswer: v, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60313309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0155913106 rounded to five dps?\nAnswer: -0.01559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 2*l - 10, -3*z = 3*l + 6. Suppose 32 = 6*u - z*u. Let i(a) = 5014*a - 12. Let t be i(u). Round t to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14111\/50 - 565\/2. Let p = 3016\/59 - 246177\/4720. Find the common denominator of q and p.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 + 5*v + 2. Suppose 0 = -3*u - 2*u + 15. Let n be r(u). Put n, 5, 4 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - s + 7 - 2*s + s**2. Let d(w) = -3*w**2 + 82*w - 170. Let z be d(25). What is v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 2 - 2)*(-u**2 - 3*u**2 + 3*u**2) + 4626*u**3 + 47*u**2 + 52*u**2 + 48*u**2 - 147*u**2 in the form c*u**2 + y*u + o + k*u**3 and give k.\nAnswer: 4628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*g = -91*g - 3597. Calculate the highest common factor of 2507 and g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875409.\nAnswer: 127, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - (42 + -11)) + (0 - 19 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -35) + -40 + 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2 - 395529*f*i**3 - 3*f*i**2 - f + i**3 - 347750*i wrt f?\nAnswer: 4*f - 395529*i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 69*r + 350. Let a be n(-5). Suppose 20 - 16 = -4*x. Put x, a, -5, 4 in decreasing order.\nAnswer: a, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:22 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 - (-4 + 7). Let y be (3\/(-12))\/(d\/12). Let c = -8 - -11. What is the third smallest value in c, -1\/2, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -1255.5 (d) 4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112111110222122 (base 3) to base 8.\nAnswer: 35311660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 1:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41524 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22072007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 77?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -385.9.\nAnswer: -385.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2330\/45 + 6\/(-3). Let v = -3143\/72 + z. Find the common denominator of 21\/2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.595822 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40882*a + 41018*a = 81661*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:51 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -12*n + 9. Suppose -3*j + 1730 = 5*f, -2*j + 197 = -n*f + 1216. What is the highest common factor of f and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 80*q - 514. Determine r(10).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9*k - 4*k - 27 = 0, 0 = 4*z + 4*k - 28. Let v(b) = 5*b**z - b**2 - 3*b**2. Let c(l) = l**2 - 2 + 2. Give c(v(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 545\/120 + (-2)\/(-16))*-1. Suppose 7*l = -11*l - 18. Put -12, l, a in descending order.\nAnswer: a, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 6*i. Suppose i = 2*u - 3*u + 6. What is the remainder when 28 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 228 = -552. Suppose -6*t + t = -b. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 2. Let n be v(-3). Let r = -2 - n. Suppose -5*y + 20 = -15. Solve -5*i - r - y = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -409*s**2 - 77294*s + 1317. Determine g(-189).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34896 (base 14) in base 2?\nAnswer: -11111001110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:00 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 15 + 1 + 3*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 at most as big as 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97928 and 1921837?\nAnswer: 15374696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*o = 293 + 48, 688 = 2*s + 2*o. Is s at least 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 290684468.\nAnswer: -116273787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:06 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53, 31, 9, -13, -35?\n\"Answer: -22*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*z**2 - 423*f**3 + 201*f**2*z**4 wrt z.\nAnswer: -4*f**3*z + 804*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, -4, -80, 4 in descending order.\nAnswer: 156, 4, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1297 or -1132?\nAnswer: 1297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 11, r: 3}. Give prob of picking 1 z and 3 r.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3 = 4*l, 19*l = 17*l - t - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*-3 - -1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from itrswrzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26138?\nAnswer: 2, 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, s: 5}. What is prob of picking 4 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let q be v(-2). What is the highest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*f + 1199975, 5*l + 6*f = f + 2999975. Suppose 0 = 5*t - 2*t + l. What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose 5*h = 3*l - 0*h - 33, -5*h - 3 = 2*l. Suppose 5*a - 2 = 4*r - 0, -a + l = 2*r. Solve p*i + o = 3*o - 18, r*o = i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5581*b**4 + 3*b**2 - 3*b + 5 wrt b.\nAnswer: 133944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -5\/4 (c) 4 (d) -0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from hhhhhlhlhlllhhlhlhh?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*g + 123 = 3435 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n*n*n\/(n*((n\/(n\/n**(-21)))\/n)\/n*n*n*n)*n))\/n))**7*(n\/n**(5\/2))\/((n*n**14*n)\/n))**(-3\/5) assuming n is positive.\nAnswer: n**(-909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21\/8 (b) -1\/8 (c) 3\/7 (d) -3 (e) -0.1 (f) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1976\/(-171))\/(-52)*(-18)\/(-58).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 165 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -317\/2. Let s(c) be the first derivative of 4 + 0*c - j*c**2. Let m(q) = -4*q**2. Calculate s(m(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k - 8. Let l(o) = -o. Let m(y) = 4*l(y) - q(y). Let z be m(4). Suppose -z*v = v. Which is bigger: -1\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.08 (c) 4 (d) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(208) + (2 + sqrt(208))*-4 + 2) + (0 + sqrt(208)*2 - (sqrt(208) + -2*sqrt(208))*-6))**2.\nAnswer: 3072*sqrt(13) + 53824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2297.567um to centimeters.\nAnswer: 0.2297567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(2 - 5 + 1)*(54*i + 37*i - 19*i).\nAnswer: -144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2127 + -2122. Let k(s) be the third derivative of 0*s + 17*s**2 + 0*s**4 + 1\/840*s**8 + 0*s**3 + 0*s**6 + 1\/525*s**7 + 0*s**q + 0. Factor k(u).\nAnswer: 2*u**4*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462.0665905 rounded to 0 dps?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i**2 + i. Let c be p(2). Suppose -z + 0 + c = v, -5*v + 4*z = -37. Solve r + 2 = v*q - 6*q, 3*q = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/33910 and -29\/12.\nAnswer: 203460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7832619 to 3 dps.\nAnswer: 6.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6*c + 1. Let j = 0.20899 - 0.10899. Let y = -4 + 4. What is the nearest to y in j, -4, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: da4 (base 16) to base 4\nAnswer: 312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/143, -0.3, 19 in ascending order.\nAnswer: -0.3, -12\/143, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12053392 to the power of 1\/2, to the nearest integer?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50419, -100135, -149851?\n\"Answer: -49716*j - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232675085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -37, 0, -1.71, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3846 - -42267\/11. Let l = j - -128\/33. Suppose 2\/3 - 1\/3*o**2 + l*o = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d**3 - 39*d**3 - 36*d**3 + 107*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001344134056 rounded to 5 dps?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*r - 16*r. Sort r, -1, -8.\nAnswer: -8, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378 divided by -3?\nAnswer: -3126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 - -0.1. What is the third smallest value in 4, s, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90 - -88)\/(2\/(-33)). Suppose 3*c + w = -y, -3 = y - 6. Let z(m) = 9*m**2 - m - 9. Let p(j) = -22*j**2 + 2*j + 22. Calculate c*z(q) - 5*p(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16925*l*r + 29082*r wrt l?\nAnswer: 16925*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) + 1111\/(-121). Let s = q - -9. Suppose s = -z + 2*z - 93. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -h - 5*h - 86232. What are the prime factors of h?\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v. Let q(u) = -6*u**3 + 7*u. Let j(a) = -a**3 - 7*a**2 - 10*a - 23. Let p be j(-6). Calculate p*q(x) + 4*m(x).\nAnswer: -2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeypyyyeyjyy. What is prob of picking 1 p, 1 e, and 1 y?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + s**2. Let t be d(-1). Let i(m) = -368*m - 37539. Let l be i(-102). Put -26, t, l, -5 in descending order.\nAnswer: t, l, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5179?\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260 * 7.\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -104562 divided by 74\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 25*y. Find b such that y*b**2 + 0 + 0*b - 6\/5*b**4 + 3\/5*b**5 + 3\/5*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -1, -1870?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 373, 404, 3, -0.61, 5 in increasing order.\nAnswer: -4, -0.61, 3, 5, 373, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001001101111011 - -101?\nAnswer: 101001001110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 152*m**3 + 158*m**2 - 308*m.\nAnswer: -2*m*(m - 77)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/15)\/(9\/(-240)). What is the lowest common multiple of 8\/6 + y\/(-3) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*v + 154 + 216, 2*b - 200 = 5*v. Let f = 100 - b. Solve 0 - 15 = -f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59\/198 + -9\/22. Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3260)\/(-8))\/1 + 3\/(-2).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -199. Let s(f) be the third derivative of f**5\/60 - f**4\/3 + f**3\/3 + 2*f**2. Calculate s(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 29*x - 8. Let v be t(10). Let f be 2\/(2 + -2 + v). Suppose -2*i = i + 51. Put i, 2, f in descending order.\nAnswer: 2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10863800 to the power of 1\/2, to the nearest integer?\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, a: 15}. Give prob of sequence yya.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 294667031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 2. Let b(g) = -22 - 4*g + 13 - 4*g. Let i(m) = m**2 - 8*m - 7. Let w be i(9). Give w*b(q) - 9*u(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 262.773?\nAnswer: 262.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v - 6. Let y(q) = -q**2 - 2*q + 6. Let g(f) = 2*w(f) + 3*y(f). Differentiate g(d) with respect to d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - -1) - -71 - (49 - (94 - 43)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1544 (base 6) to base 12\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-83)\/4)\/(5\/5) and (-1)\/(-4) - (-19)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 11 = -5. Suppose -c*y = -y. Suppose 6*k - 42 = -y*k. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 1367, -3\/10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1419 and 0.357.\nAnswer: -1418.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 70 - 29. Find the common denominator of z\/4*(-35)\/21 and 107\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00163168404 to six dps.\nAnswer: -0.001632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 5*m**2 + 0*m**6 + 0*m**5 + 4 + 1\/3*m**3 + 0*m + 3\/2*m**4 - 29\/42*m**7. What is the second derivative of n(i) wrt i?\nAnswer: -1740*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006264 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*o = 8, -o - 1 = -3*m + 16. What is the remainder when 147 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 154.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*x + 81, 4368 = 5*d - 2*x. What is the highest common divisor of 46 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n - 1 + 0*n**3 + 2\/5*n**5 + 0*n**4 + 0*n**2. Find the first derivative of d(c) wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:20 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(4*(-10)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117169, -117161, -117151, -117139, -117125, -117109, -117091?\nAnswer: -117071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252 (base 9) to base 15.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -232992 and 311.59?\nAnswer: 233303.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75369749 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 222?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(5 + (sqrt(300) + (sqrt(300)*-3 - sqrt(300) - sqrt(300)))**2 + (((sqrt(300) - (1 + sqrt(300))) + sqrt(300) - sqrt(300)) + -4)**2) + 3.\nAnswer: -86937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - m = -66*m + 83 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -11*(-5 - (-13 - -19)) and 21?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 - 7 = 0. Suppose 2*g = -2*g + 4*t + 28, 5*g - 17 = -p*t. What is the remainder when 12 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (126\/495)\/(24\/(-90)) + (-3)\/(-2). Sort p, -2\/13, 1\/4 in decreasing order.\nAnswer: p, 1\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1662.\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 - -0.3. Let c = 0.061 + 0.199. Let y = c - d. What is the third smallest value in -3, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35082 (base 9) to base 16\nAnswer: 5b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2956, 2, -4, 4, 1 in decreasing order.\nAnswer: 2956, 4, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + s. Let r be n(1). Let v be r\/(-4) - 6\/(-4). Suppose -v*f - 6 = -4*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 8*j**3\/3 + 7*j**2\/3.\nAnswer: j**2*(j - 7)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 minus 10104?\nAnswer: -10102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -43*l**2 + 688*l + 4. Calculate the smallest common multiple of h(16) and 2\/(-2) - -1 - -118.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 516?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 v, and 1 k when four letters picked without replacement from kvvkxuuvvuxv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:35 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:12 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-594)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/((-2500)\/(-50))*-9*2\/20.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let m be 4\/(-2)*104\/(-16). Let q(h) = m*h + 5*h - 6*h + 11*h. Determine x(q(i)).\nAnswer: 1058*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - 6*z**2 - 1. Let v(y) = -y**3 + y. Determine i(h) + 2*v(h).\nAnswer: h**3 - 6*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22*m - 3. Let g(h) = 23*h - 2. Let p(l) = 2*d(l) - 3*g(l). Let z(r) = -2*r. Determine z(p(t)).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 178605*h**4 + 13034385*h**3 + 12583640*h**2 - 270700*h + 1440 = 0. Calculate h.\nAnswer: -72, -1, 2\/189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 9 = 9*o, 569*o - 565*o = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - -1 - (-12 + 3). Suppose -4*k - j*n = -30*n + 8, -1 = -2*k + n. Let d(h) = h**3 - h**2 + h - 1. Let u be d(1). Solve -3*m + k = -u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3118*p - 3121*p + 6333*p.\nAnswer: 94*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0 - 1 + 1 + 2 + 0 - 4 + 5 + (-1 + 4 - 1)*(0 + 0 + 1))*(3*r**3 + 3*r**3 - 4*r**3) to f*r**3 + a + c*r**2 + d*r and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 12) to base 14\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 8*z**2 + 27*z**2.\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:41 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(42)\/(sqrt(175) - sqrt(7))))\/(sqrt(11) - -2*sqrt(1331) - (-2*sqrt(1100) - sqrt(1100)))*-2.\nAnswer: -8*sqrt(2)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -8.4. Let l = -0.4 + f. Let m be 2 + -2 + (0 - -1). Which is the second biggest value? (a) -3 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.079 and -2.\nAnswer: -0.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 49*i - 24 - 28 - 114 + 37*i.\nAnswer: 86*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:00 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-149620)*-171943 - -2. Let v = p + 6\/7481. Find the common denominator of 7\/(-4) - (-1)\/(-1) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13724573?\nAnswer: 61, 224993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 392\/147 - (-16)\/3. Solve 3*p - 4*p = -i + 2, 5*p - b = -4*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4 + 4)*(-8*w - 12*w + 12*w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/22*(-2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 4. Let q be l(0). Let c be (-2)\/q - 5031\/522. Let x = 19\/2 + c. Find the common denominator of -107\/10 and x.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119568\/32*4\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**18\/(m**15*m) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 6*g - 3. Let a(q) = -q**3 - 7*q + 4. Determine -3*a(s) - 4*u(s).\nAnswer: -5*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4e0c6 (base 16) to base 14\nAnswer: 8470a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 9*u**2 + 11698*u**3 + u**2.\nAnswer: 11698*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 10\/4)\/(((-1653)\/(-153710))\/(-87))?\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 6. Let h be o(5). Let f be (-4)\/h + (-480)\/(-260). Solve -2*j = f*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -48. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w + 2*w)*((2 + 1 - 1)*(0*w + 0*w - w) + 40 - 4*w - 40 + 2*w - 5*w + 0*w).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-43)*(-6)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6)\/((-9)\/((-54)\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 2. Let x be s(25). Suppose -i = 2*b - 5*b - x, -77 = -i + 2*b. Suppose -4*y - 85 = -5*c - 9*y, 3*y - i = -5*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -81448?\nAnswer: 8145a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-230)\/(-30))\/((-30)\/(-2970)). Solve -801 = -6*o - n for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:03 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, 3, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86077 + -44946. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/68? (a) 4 (b) -0.013 (c) 5 (d) -10374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207882 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*p - 43*p - 44*p in the form g + h*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6135 + -6136. Let b = 47 + -23. Is b >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/8 - 1) + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 3, x: 3}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/100575 and -64\/135.\nAnswer: 100575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-24)*(-34)\/1. Let t = r + 4. Let p = 0.1 - -1.5. Are p and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 468556 - 468556.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 48*k**2 - 9*k - 7. Let p(r) = 23*r**2 - 4*r - 3. Calculate -2*o(v) + 5*p(v).\nAnswer: 19*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -41 + 20*n + 30*n - 5*n**2 + 43*n**2 + n**3. Is l(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106434, -105668, -104902, -104136, -103370?\nAnswer: -102604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 7. Let j be v(5). Suppose y = -0*y + 1. Let z be 2 + 5 - (-3 + 5). Put z, y, j in ascending order.\nAnswer: y, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 48*x**2 + 21*x**2 + 21*x**2 - 6.\nAnswer: 10*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 2*m - 2*m + 2*m - 1 - 1. Let w be z(-5). What is the units digit of (-2)\/7 + (-600)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 2, u: 1, r: 8, q: 5}. What is prob of sequence rcc?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 25\/6, -2\/13, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14906870885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -456, 2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11*s**(-14))**28 assuming s is positive.\nAnswer: s**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/490 in -352, 8, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = -3*f - 3*d, -f + 7*d + 278 = 2*d. Let j(g) = -10*g - 85. Let w be j(-9). What is the tens digit of f\/w + 45\/(-75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -82. Calculate the remainder when 56 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*l + 4*p, -2*p + 15 = -3*l - 5. Let h be (-4)\/l*(1 - -11). Let g be 30*4*1\/h. Calculate the greatest common divisor of g and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 114\/1042823 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153) - sqrt(153)*-1*-5 - sqrt(153) - sqrt(153)))))\/(sqrt(9)*-1*-5).\nAnswer: -7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 3*s - 5*l = -16, 4*l = s + 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -46509.325 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210018 is divided by 1591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1 + 4)*2)**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90884370 and 5160.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85464206, -85464203, -85464200, -85464197?\n\"Answer: 3*w - 85464209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*c + 51 + 48 - 99 as l*c + y and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -28059824 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128674201?\nAnswer: 2963, 43427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, i: 3}. Give prob of sequence yyy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**3 + 7*w**2 - 12*w + 9. Let t(f) = -5*f**3 + 3*f**2 - 6*f + 4. Determine -3*r(m) + 7*t(m).\nAnswer: -2*m**3 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1, 5.58, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1031373490 and 133.\nAnswer: -1031373357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from {s: 4, l: 6, i: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from heemmmeemhehmhmmmcee.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3674, 7333, 10968, 14579, 18166, 21729?\nAnswer: 25268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -589 at least as big as 60233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 99 = 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31258059 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.56225 weeks in seconds?\nAnswer: 8807248.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*175\/19845)\/((-10)\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/42 - 187\/21) + 1024\/112.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 2*w**4 - 5*w**2 - 5*w**2 - 27 + 28 to the form k*w**3 + o*w**4 + z*w + m + d*w**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 213*a + a**4 - 213*a + 3*a**2)*(11 + 34 + 44) in the form f*a**4 + b + l*a**3 + g*a + h*a**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29748.05mm in nanometers?\nAnswer: 29748050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 1692656.\nAnswer: 1692650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - -1 - 5 - 108\/62. Let r(o) = o**2 - 5*o - 5. Let v be r(6). Which is greater: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 1\/20*d**5 + 11\/6*d**3 + 0 + 7\/6*d**4 - 10*d - 3*d**2. List the prime factors of h(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 2984*h + 53388 = 0.\nAnswer: -2966, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38844, -39237, -39616, -39975, -40308, -40609, -40872?\n\"Answer: g**3 + g**2 - 403*g - 38443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -48 - 42 - 21\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 551042?\nAnswer: -551065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131753631 to the nearest integer?\nAnswer: 11478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4183*i**2 - 779*i**2 + 1520*i**2 - 2246*i**2 - 7470*i**2.\nAnswer: -13158*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/48 + (-85)\/(-612). Which is the nearest to 1\/2? (a) h (b) -1 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/9 and 15\/113?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/13 + 32*o**3\/13 - 3290*o**2\/13 - 10184*o\/13 + 13440\/13 = 0 for o.\nAnswer: -48, -4, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 58. Let k(p) = -13*p**3 + 35*p**2 + 8*p - 1. Let c be k(3). What is h(c)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (9 + -26 + 2 - -14 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 4, e: 4, b: 7}. Give prob of sequence ppss.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/19)*o**(2\/7)*(o**(-2)*o)**(-7\/3))\/(o*o*o*o**0*o*o*o*o*o**(-2\/11)*((o*o**(1\/3)*o)\/o)**14) assuming o is positive.\nAnswer: o**(-95507\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 166*f + 6854. Calculate x(-89).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(2) + (sqrt(2)*-3 - sqrt(2))) - sqrt(150)\/(sqrt(6) - sqrt(30)\/sqrt(5) - sqrt(6) - sqrt(6)))\/(sqrt(25)\/(5*2*sqrt(5))).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617575911 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.9, 629, 2\/11, -0.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100798 is divided by 100793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00254939449 to 7 dps.\nAnswer: 0.0025494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219904662 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/((-497)\/42) - (-76)\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + -56.7. Let c = 1.3 - i. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*f + 3 = -45*f - 112*f + 3. Solve 4\/5*j**4 + f*j**2 + 2*j - 4\/5 - 2*j**3 = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-8)\/3. Let z(y) = y**2 + 3*y - 6. Let m be z(-7). Solve -f*w - m = 3*o, -2*w - 7 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 296813208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6 - (-108)\/8. Suppose -v = 4*i, -2*h = 4*i + i + 11. Is 2 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 0) + (-15 - (-27 - -15))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, y: 1, o: 3, w: 2, f: 1, r: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 27. What is the units digit of g\/(-6)*(-837)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = r + 10, 3*o + 15 = r + 5*o. Suppose -r*w + 1168 = -227. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 860, 13, 2947 in increasing order.\nAnswer: 1, 13, 860, 2947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208950874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -9 - 7. Let c(a) = -5*a + 6*a + 8*a**w + a**3 - 6*a**2. What is c(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-280))\/((-268)\/(-1407))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -3*b**4 + 7*b**3\/3 - 18. What is the third derivative of i(m) wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18218474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsby. What is prob of sequence by?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - n**4 + 2*n**5)*(0 + 0 - 4) + 2 + 2*n**5 - 1 - n**5 + (-4 + 4 + 2*n**4)*(-4 + 4 - n).\nAnswer: -9*n**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7947627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.97 - 5.07. What is the nearest to 3 in 3\/4, f, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 2 e when four letters picked without replacement from xeeezlxepezlxel.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 330 + 1032 = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uinneucweeuu. What is prob of sequence nec?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141635*j**3 - 343*j**2 + 83*j.\nAnswer: 849810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.73 + -1.73. Let g be 49\/(-33) - 440\/(-264). Which is the closest to -1? (a) -1 (b) -1\/7 (c) k (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781534465.\nAnswer: 5, 101, 1547593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.046 - 11.446. Let c = 1.23 + 5.47. Let d = c + j. Round d to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14260253 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-603*c - 153*c + 52*c)*(-7 - 26 + 9) to m*c + z and give m.\nAnswer: 16896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9277 = -14*m + 2483. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032684 is divided by 185.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 30*s - 26*s - 24, -2*s + 3*k + 12 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 + 400 = 21*n. Put 2, n, 1, -3, -188 in decreasing order.\nAnswer: 2, 1, n, -3, -188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.82 (b) 1\/4 (c) 51 (d) -8 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31400186*r**2 + 2*r + 2373879 wrt r.\nAnswer: -62800372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 576 in -22, 1.2, 2\/7, 1\/5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -5 (b) 35 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -66*m - 396. Let i be g(-6). Let n(l) be the first derivative of i*l - 9 + 3\/4*l**4 + 3\/4*l**3 - 3\/8*l**2. Find u such that n(u) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15694189*h*i + 9126145*i wrt h.\nAnswer: -15694189*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 38*a - 159 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyc when three letters picked without replacement from {f: 2, c: 4, y: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4395603 is divided by 49950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-6 + -3) - (-1 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (169 - (38 + 17)) + (-5 + -3 - 3) + 2?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1061.1885 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628880068?\nAnswer: 2, 407220017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 3.5. Which is the nearest to -0.2? (a) z (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -69801\nAnswer: 837612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 19*w**2 - 2*w + 41. Let z be t(19). Solve 3*k + 3*h = z, h + 0 - 5 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 514620?\nAnswer: 514620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078451, -1078364, -1078277, -1078190, -1078103?\nAnswer: -1078016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3888))\/sqrt(3))\/(sqrt(768) + sqrt(12)*-2) + 1.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-16.82\nAnswer: 6.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93278 is divided by 338.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141.5 - 141.4. What is the third biggest value in a, 4, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 24*d**2 + 2*d + 106. Let y(h) = h**3 + 5*h**2 - 12*h - 40. Let n be y(-4). Does 11 divide r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 111210220?\nAnswer: -111210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 3. Let j be t(5). Suppose s - 69 + j = 0. Find the second derivative of s*o**4 - 30*o**4 - 29*o**4 + 3*o wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 2 + 68*h**2 + 0*h**3 - 14*h**4 - 3 + 5*h**3 - 2*h**3 - 66*h**2 as r*h**3 + l*h + b*h**2 + f*h**4 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0.1, 0.13.\nAnswer: 0.1, 0.13, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16686, -66859, -150594, -267975, -419086, -604011, -822834, -1075639?\nAnswer: -1362510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 3*o**5\/10 - o**2\/2 + 2*o. Let g be k(1). Let y be (38\/(-19))\/((-1)\/((-2)\/(-4))). Sort y, -4, g in decreasing order.\nAnswer: g, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 2*v**2 + v. Suppose 50*k = 37*k + 10608. Let t = k - 815. Give q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12275.391 nanoseconds in minutes?\nAnswer: 0.00000020458985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 93 = 2*k - 419, 4*k = -5*h + 624. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*y + 1 + 0)*((1 - 3 + 1)*(0 - 3 + 4) + 0 - 1 - 1 - 6 - 3 - 4).\nAnswer: -48*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-243)\/6)\/9 - (-2)\/4. Let p be ((-24)\/(-15))\/(l\/(-50)). Suppose -120 = -4*i + p. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 10 + 18 = 0. Find the common denominator of -3\/7 and s + 176\/(-9) - 56\/(-252).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4436415 minutes in days?\nAnswer: 0.000308084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -177, -207, -223, -219, -189?\n\"Answer: y**3 + y**2 - 40*y - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.77482 rounded to 1 dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(15\/(-6) + 3). Suppose h - 3*h = -l*a + 427, h + 86 = a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 74. What is the remainder when (1\/(-4))\/(a\/132) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1636? (a) 4 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233113101331 (base 4) in base 14?\nAnswer: 1912b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20382 (base 9) in base 16?\nAnswer: 347f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000137 is divided by 333375?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 538295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15353184 and 77748.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v + 8. Let g be k(6). What is the first derivative of g*s - 3*s - 4*s + s - 2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {o: 12, u: 3, s: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, 262, -0.5 in ascending order.\nAnswer: -1, -0.5, 1\/3, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-24)*13\/(-832)*-8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*m + 1 = 0, 10 = -2*m + 7*m. Suppose -q*g + 9 = -0*g. Sort -4, g, -1 in decreasing order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 3091\/15. Let b = 1\/3 + f. What is the nearest to b in -1\/5, 5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, 277, 12, 10.\nAnswer: 0, 1, 3, 10, 12, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.500001269 - -20.5. Round m to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37889696.\nAnswer: 2, 13, 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y = -16*y - 17*y + 224 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337243411 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9*2\/(-10))\/((6900\/1250)\/46). Let u = 7 + -3. Suppose -f + 216 = 5*r - 379, -u*r + 500 = -4*f. What is the greatest common divisor of r and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 236 = 4*n, 0 = -n + 3*d - d + 55. Let a = n - 60. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z**2 - z. Let d(l) be the first derivative of -3*l**4\/2 - 2*l**3 - 3*l**2 - 16. Determine -2*d(m) + 11*o(m).\nAnswer: m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:22 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/(-3))\/(-3) - 1. Suppose 4*m + j*q = 14, -3*q = -5*m - 2*q + 21. What is the remainder when (-6)\/(-5)*(0 - -5) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684234583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7025 by -1405.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22001, -44008, -66015, -88022, -110029?\nAnswer: -132036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22568213 * 3.5\nAnswer: -78988745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**3 + 12*x**2 - 30*x + 8. Let q(d) = -4*d**3 + 6*d**2 - 17*d + 5. Let s(t) = -4*a(t) + 7*q(t). Let g be s(1). Solve -16\/5*r + 0 + 2\/5*r**g = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 814639.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -0.4. Let m = 38 - 184.2. Let c = -148 - m. What is the third biggest value in c, 2, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 36*k - 208 = 0. Calculate k.\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(24\/9)*22\/209*(-3553)\/(-17)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 416571075 divided by 27275\nAnswer: 15273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 696?\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 420393296 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 8 + k**2 - k**3 - 3*k**3 as t + u*k**2 + q*k**3 + v*k and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 164*v + 480. Calculate o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*r + r**2 - r + 27*r - 10*r - 163 wrt r?\nAnswer: 2*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*q, -13*q = 4*n - 10*q + 64 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349200 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + 13\/3. Suppose -345 = r*v - 10*v - 5*l, -5*v + 315 = -5*l. Find the common denominator of 0 + 1 + (-294)\/v and -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -357, -1397, -3129, -5565, -8717, -12597?\n\"Answer: -2*a**3 - 334*a**2 - 24*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -5. What is the units digit of (0 - 1)\/(1\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/(21\/42). Suppose -j*n = -3*k - 170, -4*n - 4*k - 38 + 142 = 0. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -865\/9102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/60 + 19*b**4\/24 - 5*b**3\/3 - 101*b**2. Suppose 0 = n - 13 + 3. Does 40 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1. Let a(f) = -9*f**2 - 7. Let y(w) = a(w) + 3*o(w). What is the derivative of y(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 100.875. Let c = l + 0.1249979. What is c rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 15 + 1. Let i(c) = -241 + t*c + 63 + 55. Let h(b) = 2*b. What is i(h(l))?\nAnswer: 4*l - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/135 and -47\/7045395.\nAnswer: 63408555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10246*b**3 + 3*b**2 + 3. Let q(t) = -153670*t**3 + 44*t**2 + 44. What is 44*j(g) - 3*q(g)?\nAnswer: 10186*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 81*y**8\/56 + 38*y**4\/3 + y**3\/6 + 5*y**2 - 6. What is the second derivative of h(s) wrt s?\nAnswer: 9720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1317143*c - 2864. Let q be b(-48). What is q rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 0.02. Let z = 0.17 + r. Let v = -2.07 + z. What is the third smallest value in 2, v, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 58064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 4*x**2 + 2*x**2 + (2*x + 3*x - 6*x)*(-2*x - 5*x - 4 + 5*x).\nAnswer: -x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146147*o**4*s - 15027*o**2*s + o*s - 7*s wrt o?\nAnswer: -3507528*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(-1\/4))\/i)\/i)**(-10)*i**(-5)\/i*i**(-8)*i*i**4\/i**(-1\/3)*i**(-7\/3)\/(i*i**(1\/3)*i) assuming i is positive.\nAnswer: i**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let n(o) = -10*o + 1. Let r(a) = -n(a) - 5*s(a). Let c = -19 - -16. Let w(b) be the first derivative of -b**2 - 1. Determine c*r(d) - 8*w(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -k + 23. Suppose i = 19 + 3. Calculate the remainder when k is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17. Let q = -97 + 159. Let s = q - 67. Which is the closest to 3? (a) 3\/8 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:04 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/131 (b) 3 (c) 0.0424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/350*-7)\/(4\/10*1\/(-12)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -40. Let v be (-100)\/(-30)*s\/(-10). Suppose 2*d = 2*n, -2*n = -v - 4. Solve 0 = d*k - k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -29*h**7\/42 + 29*h**4\/12 + 9*h + 33. Let n(b) be the first derivative of l(b). What is the third derivative of n(w) wrt w?\nAnswer: -1740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*h - h. Let x be (9 - (-4)\/h) + -4. Let q(o) = -o**3 - o**2 - o - 1. Let c be q(0). Sort x, c, -3.\nAnswer: -3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129, 271, 415, 561?\n\"Answer: z**2 + 139*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 5*c + 27*h - 22*h, 4*h = -2*c + 160. Solve -c = -13*g - 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 - 40*w**2 + 100*w = 0. What is w?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**2 + v + 25. Let m(s) = 11*s**2 - s - 25. Let u(l) = -4*m(l) - 5*n(l). Give u(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.151, -0.012 in descending order.\nAnswer: 3, -0.012, -0.151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 - l - 7. Let q(b) = 16*b**2 + 2*b + 15. Give -6*q(n) - 13*z(n).\nAnswer: 8*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 521736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292737 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 1. Let n(v) = 2*v. Let l(u) = 2*d(u) + 2*n(u). Let m(o) be the second derivative of 5\/2*o**2 + 0 + 5\/6*o**3 - o. What is -7*l(k) - 3*m(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 13*k - 12*k - 1584, 0 = -2*c - 2*k + 798. Calculate the remainder when c is divided by 386.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.9, -727710, -0.1.\nAnswer: -727710, -0.9, -1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**7)\/((f\/f**2)\/f*f)*(f\/(f\/(f\/f**(-2\/3)*f)))\/f**3*((f*f*f*f**(14\/3))\/(f\/(f\/(f*f\/(f*f**2)*f))*f))**(1\/73) assuming f is positive.\nAnswer: f**(1918\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/12 + j**3\/2 + 6*j. What is the second derivative of o(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {q: 4, e: 2, j: 2, h: 2, y: 1, d: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*g - 44 = g, 4*m - 144 = 4*g. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(6\/(-16600)))\/((-179)\/(-107400)). What is w rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-5)\/(5\/2)). Let h(u) = 3*u. Calculate h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*d + 7, -5*x + 10 = -4*d - 19. Solve -x*n = -f - 24, 2*n - 3*n + 16 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 3 + -24 + 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/37107 and -43\/798.\nAnswer: 74214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (-548 - -521)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.493 + 5.3. Let s = r - -3.193. Let y be ((-2)\/(-14))\/(1 - 2). Which is the smallest value? (a) y (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139468 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110972 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/((34\/(-204))\/((-1)\/15))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-176))\/(1*(-20)\/384)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08826 - 0.551.\nAnswer: -0.63926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15283202, 15283181, 15283160, 15283139, 15283118, 15283097?\n\"Answer: -21*t + 15283223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4401, 4393, 4377, 4353?\nAnswer: 4321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001246 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28404.1884 and 80.883.\nAnswer: -28323.3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -226*r + 11. Let d(t) = -230*t + 11. Determine 6*d(v) - 5*m(v).\nAnswer: -250*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1547.03004 and -0.2?\nAnswer: 1546.83004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -1. Let j(v) = -10 - 105*v**3 - 106*v**3 + 4*v - 5*v**2 + 210*v**3. Let x be j(a). Solve 5*m - x = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21949, -87803, -197555, -351205?\nAnswer: -548753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112455\/58747 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdurrrazrd. Give prob of sequence ad.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6865 and 444350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7. Let a(i) = i**3 - 12*i**2 + i - 6. Let x be a(12). Let j be r(x). Solve j - 4 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5517695?\nAnswer: 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 28 - 20 = 0. Suppose k = 14*g - 10*g. Solve -w - w = i + 10, 12 = -5*w + g*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -0.6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 11*t + 51 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j + 52*j = -36*j - 152 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.8 times -20\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 34*d + 4*d + 1190 = 0 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*q - 2050, -4*u + 146*q - 144*q = -2080. Solve -44*p + u = 121 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.046\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 25 = -3*o, 10*o + 4*b = 12*o + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39354 divided by 550?\nAnswer: -19677\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - a + 0 + 0 + a + (a + a + 0*a)*(0 - 3 + 2))*(1299 + 15*a - 1299).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l + 3*l)*(23 + 17 - 12) + l - 5*l + 2*l to the form i + x*l and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -66, -62, -58, -54, -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:42 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {w: 5, n: 6, y: 2, o: 1, k: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 317214 and 414.\nAnswer: 7295922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 7*n**2 + 5*n + 5. Let y = 20 - 14. Determine z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 47 - 9*g - 5 to the form k + i*g and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:30 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1543628, -3087257, -4630890, -6174527, -7718168, -9261813, -10805462?\n\"Answer: -2*q**2 - 1543623*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19921 (base 15) to base 3\nAnswer: 11012221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 9. Let n be h(-9). Let z = n + 176. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849.526 litres to millilitres.\nAnswer: 849526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18.802 (b) 2857 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 2*c + 0*c**2 + 4*c - c**2. Suppose t + 8 = 3*t. What are the prime factors of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:04 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-1 + 1 + 9*j**2) to the form v*j + o + f*j**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 11 - 7)*(-3*r**3 - 4*r**3 - 2*r**3) in the form l + v*r**3 + h*r**2 + m*r and give v.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 330 = -11*s. Let i = s + -37. Let n be -2 - (i\/18 - 2). Are 0 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8723?\nAnswer: 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 14*m + 225. Let l(j) = -197*j. What is s(l(x))?\nAnswer: 38809*x**2 + 2758*x + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 24. Let i = x - -16. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2632*o**3*u**2 + 18*o**3 + 51*o*u wrt u.\nAnswer: 5264*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l + 16454211 - 30*l - 16454211.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Put p, -5, 1 in increasing order.\nAnswer: -5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 11268*u - 465340. What is g(-41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2*k**2 - k**2 + 8*k**2 + 8*k**2 - 24*k**2 + (0 - 4 + 1)*(-k**2 + 2*k**2 + k**2))*(-k**3 - 2*k**3 + k**3).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4 - 44*z - 39*z + 70*z - 2. Let h(t) = -14*t + 3. What is -3*h(o) + 4*q(o)?\nAnswer: -10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/8*(-24)\/(-15). Suppose 0 = -b*g + 30 + 2. Suppose 2*r + 4 = 3*p, -11 = -2*r - 3. Sort -1, g, p in ascending order.\nAnswer: -1, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3172208 by -4.\nAnswer: 793052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23046044 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 8:53 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = 20*k - 4032. Solve k*w = 62*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + l = -2*f + 2, l = -2*f. Let b(a) = -a + 1. Let i be b(0). Find the third derivative of f - 2*v**2 - v**5 - i wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:30 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 446\/26 - (-26)\/(-169). What is the common denominator of 3 - (-15)\/100*s and 43\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248817439002039.7000003 - 248817425221025. Let d = 13781014 - m. Let b = 0.7 + d. Round b to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y\/(y\/(y**(-20)*y))*y)\/y*y)*y)**50 assuming y is positive.\nAnswer: y**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.7 + -26.7. Let f = 22 + -89\/4. What is the smallest value in f, m, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 20*c - 18. Suppose 0 = 4*o - 4*w - 232, -o + c*o = -3*w + 322. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.6 + -145.6. Let v = l + 189. Which is smaller: 2.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 9*h - 14 + 46 = 0, -128*h + 3 = -129*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -281, -277, -271, -263, -253?\n\"Answer: v**2 + v - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6*(0 - 6). Let c(s) = -8*s - 96. Let v be c(-12). Suppose 3*q = 4*t + 5*q - 10, 5*t + 5*q - 15 = v. Solve -14 - 12 = t*i + 4*a, h*i = a - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -15649.2?\nAnswer: 125193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 2*s**2 + 5*s**2)*(-2 - 1 + 2) - 5*s**2 + 3*s**2 + 3*s**2 - s**2 + 2*s**2 + s**2 + s**2 - 17 + 17.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1 - 7*f + 2 + 0*f. Let l be u(-2). Let y = -11 + l. Sort y, 3, 1 in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 + 1 + (-2 + 1 + 2)*(4 - 5 - 1))*(-o - o + 0*o) to d + s*o and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -51*d - 3. Calculate u(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o + 9950. Let r be 7584\/126*(0 + 33). Let m = r + o. Calculate the common denominator of -31\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzxz. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-12 - 8 - -7) + 45 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:03 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b53 (base 13) to base 15.\nAnswer: 5ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 23, -245, -783, -1681, -3029?\n\"Answer: -15*c**3 + 17*c + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let j(k) = -k**2 + 4*k + 4. Calculate the remainder when j(3) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 58*3\/54. Let z = 1.96681 + 0.03319. Which is the smallest value? (a) n (b) 168 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 8 = 5*u. Suppose u*w + 1 = 4*w. Let j be (-4)\/(-110) + 3 + -3. Is j < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**4 + 40668*o**3 + 27108*o**2.\nAnswer: 3*o**2*(o + 4518)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 4, r: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 4*h + 2. Let j be (1 - -3)*3\/6. Let s be c(j). Suppose 5 + 9 = s*y. What is the least common multiple of 4 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296.4 + 307. Let s = 10.7 - v. What is the biggest value in 24, s, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 4, h: 4}. Give prob of picking 1 c and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 388 = -490 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 7*d**3 + 5*d**3 + 9*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*k - 5*a, -3*a = a + 12. Let r(g) = -4*g + 6. Let f(n) = 3*n + 16. Let p(q) = 2*q + 14. Let y(h) = -5*f(h) + 6*p(h). What is k*r(c) - 7*y(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488 = -7*s + 247. Suppose -3*t + 18 = n - s, -3*t = -5*n + 597. Suppose -3*u - n = -6*u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -790 + 790.2028. Let i = 0.1727968 - w. Let n = i + 0.03. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*b - 2042*b - 49182 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b. Let m(a) be the second derivative of 7*a**3\/6 + 14*a. Let x(q) = 6*f(q) + 5*m(q). Let g(h) = 2*h + 17. Calculate x(g(u)).\nAnswer: -2*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 14*m - 10. Let i(d) = -d**2 + d + 2. Let g(p) = -4*i(p) - t(p). Give g(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = a + 24, 4*k + 2*a - 4610 = -4634. Suppose 0 = -6*l + 5*l + 4. Put l, -5, -3, k in decreasing order.\nAnswer: l, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q + 20*q + 17 + 19*q - 53*q to the form o*q + w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Solve j + 1 = d*m - 0, m + 4 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 - 3*d - 20*d**2 - 108*d**4 - 1 + 107*d**4 to u*d + k*d**3 + o*d**4 + j*d**2 + l and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*1.491534.\nAnswer: -162.577206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89 + -4*3\/(-6).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541551?\nAnswer: 7, 19, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -348451a (base 11) to base 7\nAnswer: -102460451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5110313 (base 7) to base 4.\nAnswer: -2110111322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.873 + -0.127. What is the smallest value in 1, i, -2\/21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 16*855\/(-912)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxdxdxx. Give prob of sequence dxdx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7463324850 to the nearest one million.\nAnswer: 7463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31430996 to the power of 1\/2, to the nearest integer?\nAnswer: 5606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*(-4)\/20 + 14048\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 8*q**4 + 673491 + 2*q**3 - 673493 - 5*q in the form j*q**3 + w + r*q**4 + t*q**2 + u*q and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 7 + 17. What is the remainder when 4\/((-40)\/c)*-10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 1. Suppose 0 = -3*w + 3*c, 0 = w + 2*c + c + 20. Let o(v) = 6*v**3 + 6*v**2 - 6. Calculate w*y(k) - o(k).\nAnswer: -k**3 - 6*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*i**2 + 884 - 884.\nAnswer: -1045*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*v - 301 = 0, -r - 3*v - 2 = -71. Solve -746*c = -727*c - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83209711.7 to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3839.62401 rounded to the nearest integer?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 5:21 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -31*g + 36*g + 3286, 5*g + 5*x = -3295. Let p = g - -661. Solve -5*r - b + 12 = 0, 5*r + p - 8 = -4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 * 35\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002169 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -0.121\nAnswer: -0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:51 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 823*a. Let w(p) = -p**2. Give z(w(n)).\nAnswer: -823*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -3 - -21) + -26\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l - 116 + 37 + l**3 - 51*l - l**2 + 42 + 35 in the form t*l + i*l**3 + y + s*l**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.87 + 0.04. Let w = u + 0.25. Let n = 0.5800016 + w. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:10 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 15965*t - 15974. Determine w(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(24)\/(sqrt(48)\/sqrt(4)) - (-1*sqrt(14))\/sqrt(7).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6732 + 10147?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237512115.\nAnswer: 3, 5, 1759349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 10*q**2 + 4*q - 4. Let o be j(10). Suppose m - 2*c = o, 0*c - 155 = -5*m + 5*c. Calculate the greatest common factor of 208 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304364.\nAnswer: 2, 76091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17795 + 17805. What is the remainder when 1139 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 933539 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 119*t - 1032 - 233 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 + -1)) + (92 - (130 - -41))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*q + 21, 110 = -3*f + 2*q + 125. Solve 7*p - 6*p - 7 = -f*x, 1 = p + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179155?\nAnswer: 5, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-292)\/(-252))\/(41\/(16072\/224)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/30 + (-20)\/(-6). Suppose -3*c - 10 = 2. Let m be (-140)\/112 + (-25)\/c. Solve m*l - 5 = -5*z, -4*z - 29 = i*l - 9*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10792 - 593957\/55. Let o = 37\/5 + w. Suppose 1 = 3*r - 2*r. Is o greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Let g = -1769623\/363 - -4875. Let l = -736\/1815 + g. Put l, -2\/19, n, 0 in decreasing order.\nAnswer: n, 0, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28034 and 12198.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**3 + 7*d**2 + 2*d. Let m(b) = b**3 - 8*b**2 - 5*b - 4. Let s(o) = -o**3 - o**2 - o - 1. Let z(r) = -m(r) + 4*s(r). Give -4*y(u) + 7*z(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/12 - 42\/9. Let y be (-1)\/(k\/(-3) - 2). Solve 0 = -y*j, -3*j = -4*t + 2*j - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1364570.9 days to weeks.\nAnswer: 194938.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 + 3*a - 3. Let o(l) = -50*l**3 - 10*l + 10. Determine -10*n(i) - 3*o(i).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 484, 474, 462, 448?\n\"Answer: -h**2 - 7*h + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:54 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, y: 11, h: 1}. Give prob of sequence hyy.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 55 + 5 = 0. Suppose 8*s - 264 = 2*s. What is the remainder when s is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 521 - 213. Suppose 21*u + q = 25*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -5, -341 in decreasing order.\nAnswer: 2\/7, -5, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/24, -5, -0.05, -5\/4 in descending order.\nAnswer: -1\/24, -0.05, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -14 + -12 - (0 - 3)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197\/5 - 40. Sort s, -2\/7, -4, -3 in descending order.\nAnswer: -2\/7, s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1572*h - 84. Let n(j) = 245*j - 13. Give -32*n(q) + 5*t(q).\nAnswer: 20*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (116\/(-5))\/((-4)\/20). Suppose 0*h = -4*h + 12, -3*h = -5*i + w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -55, -2, -10, 4 in ascending order.\nAnswer: -55, -10, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (858\/1183)\/((-27)\/(-3744)*16)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114 is divided by 3906?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6431301970?\nAnswer: 2, 5, 137, 4694381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98297667 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183826 divided by 206?\nAnswer: -91913\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, d: 2, a: 4, b: 2}. Give prob of sequence hxa.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369*z**3 + 149*z**3 + 81*z**3)*(0 + 1 - 2)*(-3 + 3 + 1).\nAnswer: 139*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + 34. Suppose 349*z - 353*z = -f. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*h + 15, -5*z - 5*h + 18 = 8. Solve -3*a + b + b = z, a + 5*b = 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + n**2 - 3*n**2 + 3*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870255352.\nAnswer: 2, 2417, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, o: 6, q: 2, e: 1, i: 2, l: 1}. Give prob of sequence fqq.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 2. Let x(d) = -1. Let l(p) = -w(p) - 2*x(p). Let c be l(4). Suppose z + 396 = 4*z. What is the highest common divisor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72.0069 - 72. What is n rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p**2 - 3 + 2*p + 55*p**2 - 4*p + 38*p**2 - 76*p**2.\nAnswer: 62*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*j**3 + 25 + 2*j - 8*j**2 + 105*j**3 + 10*j**2 in the form f + t*j**2 + r*j**3 + u*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-7)\/(-6))*8\/(-16). Suppose -b*u = 3*t - 11 - 16, -2*t + 30 = 5*u. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 0.11, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30445 and 278?\nAnswer: 8463710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1615 = -6539. Let j = s + -802. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 5, h: 4, c: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76112 - 76077. Let l = 310 - 170. What is the greatest common factor of l and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) 520 (c) 5 (d) -6 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 22. Let k(z) = z**2 - 6*z - 27. Let l be k(p). Let j = l - 77. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klbk when four letters picked without replacement from {k: 3, b: 5, l: 2, w: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186 - 170 - (11 + 3)) + -38 + 1 + 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 3, p: 1, o: 1, g: 3, i: 2}. What is prob of sequence gfg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23652 = k - i - 8118, -2*i - 127080 = -4*k. Round k to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 5}. Give prob of picking 4 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941255 is divided by 85568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*u**2 - 519*p**3*u - 294*p**2*u**2 - p**2 wrt p?\nAnswer: -12*u**2 - 3114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 670 = -1958. Suppose m - 5*f - n = 0, -f + 826 = m + 4*f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 3622 + 1028. What is the highest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 + 14*o - 24. Let d(k) be the first derivative of -2*k**3\/3 - 3*k**2 + 12*k - 165. Let y(i) = 5*d(i) + 2*f(i). Let y(u) = 0. What is u?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(108)\/(sqrt(324)*-1) + -1*4*sqrt(12)*5))**2.\nAnswer: 175692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 942 and 4772329.\nAnswer: 28633974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/29 in 71, 0.1, 0.3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12) + -3 - 1*-2*1\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 544 = -5*i + i, 3*i = -a + 395. Let f = 2793 + -2698. Let q = i - f. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**7\/21 - 2*a**6\/5 + 11*a**5\/10 - a**4\/3 - 4*a**3 + 8*a**2 + 4*a - 74. Determine p so that g(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 - 5.2. Let j = 9 + -9.66. Let d = a - j. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807\/5 smaller than -0.417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -141. Let j = 0.295 - 2.295. Which is the closest to -2? (a) 0.4 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 14*d - 18. Suppose 3*y - 5*z + 25 = 0, 61 = -3*y - 6*z + 2*z. Let s be b(y). Let r be (s - -79)\/(1\/(-100)). Round r to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/24 + 6*x**2. Suppose 0 = c - 6*c - 5*f + 1320, 3*c + 5*f = 788. Let w(m) = -266 + c + 4*m. What is w(t(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 + 8*t + 3. Let n be b(-8). Suppose 4*o + 4 = n*o. Let s be (585\/156)\/(6\/8). Sort -10, o, s in ascending order.\nAnswer: -10, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578013 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -63306?\nAnswer: 63306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1729, 2643, 4171, 6313, 9069, 12439?\n\"Answer: 307*t**2 - 7*t + 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/10 = -0.049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/((-2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 + 2*s**2 + 2*s + 45. Let p(d) = -13*d**3 + 7*d**2 + 7*d + 136. Determine -2*p(o) + 7*r(o).\nAnswer: -2*o**3 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2. Let x(z) be the third derivative of -z**7\/5040 - z**5\/60 - z**2. Let d(s) be the third derivative of x(s). Calculate w(d(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(((-65)\/930)\/13). Suppose -6*g + 2*g + s = 5*l, 0 = -4*l + 4. Calculate the greatest common factor of g and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10208092.\nAnswer: 2, 17, 19, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/11 or -2?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2 - 183070*q - 6593112 = 0. What is q?\nAnswer: -36, 91571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-13) + 33\/(-78)*-50. Is 3 a factor of -5 + (-74)\/(-14) + 456\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 + 2*u**2 + 2*u + 1. Let m be (-4)\/(-14) - 3508\/28. Let y = -85 - m. Let s = 39 - y. Give c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -80, -82?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2965019687 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*j = -224*j. Are j and 11\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1355 - -1405. Calculate the lowest common multiple of w and 56.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 8 + 2. Solve 14 = 13*n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 2}. Give prob of sequence sss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 2 + -12 - -6) + (2 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-6)\/(168\/35) - 401\/(-4) and 21.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 49*k. Let o(w) = w**2 + 12*w + 40. Let i be o(-36). Let a(y) = 904 - i - y**2. Calculate z(a(c)).\nAnswer: -2*c**4 + 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -111. Does 15 divide (228\/(-15))\/(l\/(-40)) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23\/23)\/((-1)\/(-28)). Suppose -c - 4*b - s = -9*b, -5*c - 2*b = 221. Is c < -214\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82665154\/7 or -11809308?\nAnswer: -82665154\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -182 and -102057941945.\nAnswer: -102057942127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 568324 (base 16) to base 6\nAnswer: 321304244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1 + sqrt(468))*-1.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5466674 is divided by 4398?\nAnswer: 4358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -561784.5+-1\nAnswer: -561785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24394)\/(-6))\/(28\/84) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010000010111 + 11011100?\nAnswer: -1010001100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yttoyytyotyyootygoo?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2642828\/35 - 528525\/7. Factor 6 - y*v - 1\/5*v**2.\nAnswer: -(v - 1)*(v + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/12 + b**2. Let c(y) = -1203 + 1203 + 16*y**2 - 41*y**2 + 23*y**2. Calculate c(h(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 14200730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**9\/20160 - 13*u**8\/10080 + u**7\/560 + 7*u**5\/60 + 85*u**2. Let l(p) be the third derivative of m(p). Factor l(h).\nAnswer: -h*(h + 9)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2029 and 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/60 - m**4\/6 + 7*m**3\/6 - 86*m**2 - 171. Let n(g) be the second derivative of l(g). Give n(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 14. Let x be v(-8). Let g(f) = f**3 - 5*f**2 - 1. List the prime factors of g(x).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 4*j**2 - 24*j**3 - 2*j**2.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 122*i - 118*i. Solve i - 48 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*m - 64*m - 65*m + 252*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/2*(6\/(-24)*4)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/4789 + -569661\/110147. Is -5 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846 = -39*i - 118 + 208 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((13 - 2 - 35) + -26 + 14)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b*(b\/(b*b*b**(9\/10)))\/b)*b)\/b)\/b)\/b)\/(b**14\/b))**(5\/4) assuming b is positive.\nAnswer: b**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112853326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 2 = 7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 213*t**3 + 3221*t**2 + 13683*t + 17730.\nAnswer: (t + 3)**2*(t + 10)*(t + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 8*o - 26. Let h = 34079 + -34076. Give b(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*y - 2558*y - 193672 = 0 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-28))\/((-3876)\/(-9044))*(-2)\/(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221767?\nAnswer: 7, 13, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-4)*(-2)\/3. Let p be (-4)\/(-14) + (-38)\/(-14). Suppose 2*v - 3*v + p = -3*x, j*v - 9 = -x. Solve 15 = c - v*w, 6*w = -5*c + w - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0 - 5 - 4*m + 1 + 3*m**2. Let x be 10\/(-2) + (-3)\/(-3). Let n be s(x). What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 1. Suppose -r + 5 = 2*l - 0*r, -2*l = -3*r + 7. Let n(h) = h + 4. Let b(v) = l*n(v) - 4*w(v). Let k(x) = -3*x + 5*x - 3*x. What is k(b(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -13142020204?\nAnswer: -13142020213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, 3*m - 2*b + 4*b + 112 = 0. Let x = 21 + m. Let r = -14 - x. Solve 0 + r = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2393 divided by -433\nAnswer: 2393\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:52 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 935541911 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 0.5. Let t = 0.23 - 1.43. Let q = t + 1.5. Which is the nearest to i? (a) -0.1 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17331444 divided by -9\nAnswer: -1925716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -42 + 45 + 2*1. Solve 13 - j = -4*v - 5*z, 20 = -5*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:50 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3*t**(-1\/2))\/(t*t**(2\/7)*t**(2\/5)\/t))**12)**(4\/9) assuming t is positive.\nAnswer: t**(1016\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 - (-2 - 12). Let c = o + -5. Calculate the highest common divisor of 90 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {v: 7, h: 4, b: 6, k: 2, t: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r**2 - 13*r - 16. Let m(a) = 6*a**2 + 4*a + 5. Let u(q) = -4*c(q) - 11*m(q). What is the units digit of u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.558 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636416, -1272808, -1909214, -2545640, -3182092, -3818576?\nAnswer: -4455098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*q**2 + 0*q**2 + 4*q - 7*q**2 wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62900 and 13600?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1155*k + 5191332 = 1383*k. What are the prime factors of k?\nAnswer: 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-4) - 156\/104. Let p be (-1)\/((2\/v)\/(20\/(-20))). Let t be 1*-3*2\/(-24). Put p, -0.3, -1, t in decreasing order.\nAnswer: p, t, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/208 - 7020\/3744?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 1408*f**2 + 4 + 1406*f**2 - f**3 - 6*f + 2 to q*f**2 + v*f + d + k*f**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38811337 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*m - 531 = 0, -123*m = 5*f - 126*m - 1318. Suppose 0 = 16*v + 55 - f. What is the highest common factor of v and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6950467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -61, -4, 2, -9, 19 in ascending order.\nAnswer: -61, -9, -7, -4, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764095 - 764095 - 20*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 200 (b) -93 (c) 2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2142 and 4578?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 5. Let d = x - -6.9. Which is the nearest to d? (a) 0.1 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let d = 7 + -13. Let n(z) = -7*z + 18. Let m(u) = d*s(u) - n(u). Let j be m(15). Solve -2*r - 8 = -j*c - 2, 3 = -r + 5*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1379842\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*s + 5*s + 191, 4*y - 157 = s. What is the smallest common multiple of 0 + -3 + 332\/4 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5\/3, 5, 23?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 152 + 71 + 12.\nAnswer: -2*m - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/36 + (-32)\/(-6). Let b be (-9)\/(-6) - n\/(-10). Let i be b\/(628\/(-312) - -2). Round i to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 83*s + 4. Let a be n(2). Let o = -152 + a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -116, 2, 3 in descending order.\nAnswer: 3, 2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*15\/120*8\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24485463.34 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 4. Let y = -17 + n. Let g = 16.999969 - y. Round g to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*t - 84952, 2*t - 5*l + 11600 - 96579 = 0. What are the prime factors of t?\nAnswer: 42467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w - 19 - 22 + 42 + (2 + 5 - 6 + (-2 - 3 + 7)*(2 - 1 + 0) + 2 + 0 - 1 + 35 + 119 - 29)*(0 - w + 0) to the form z + n*w and give n.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 119*x - 475. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1010 + 1003.01. Let f = 7 + h. Let t = 0.21 - f. Which is the closest to 2? (a) -1\/6 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3bd (base 16) to base 2\nAnswer: 1110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 2*r - 2*z, 6*r - 5*z - 18 = -69 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17406660 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvquuquqlquvul. Give prob of sequence qu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 4294368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from vbbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -19. What is the second derivative of -p**3 + 16*p**o + p**3 + 13*p - 29*p wrt p?\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 6 - 69. Suppose q*w - 44 = -h - 0*h, 0 = h - 4. Solve w = 2*l - 0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 17}. Give prob of picking 1 d and 1 z.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -5, -0.4, 132, -249 in descending order.\nAnswer: 132, -1\/6, -0.4, -5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 37 + 317 = 0. Suppose 0 = 3*c - 24 - h. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o + 1)*(3*o - 104*o - 2*o**2 + 18*o).\nAnswer: -4*o**3 - 166*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 - 32*z + 11. Calculate l(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 146 in ascending order.\nAnswer: -4, 3, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1842 + -11009\/6. Calculate the common denominator of i and -13\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-3)\/3)\/12). Let l = 9 + -16. Let d(k) = -k - 1. Let p be d(l). Solve -4 = w + 3*u, -3*w - h = 2*u - p*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -491 - -489. Let f = -1.7 + 1.9. What is the nearest to -2 in 5, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 + 143. Sort l, -5, 4, 0 in ascending order.\nAnswer: -5, l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 8. Let s be h(-6). Suppose s = x + 3*x + 4*p, 3*x - 2*p = 40. Solve x = -j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-2*sqrt(76) - sqrt(76)))**2 + (sqrt(76) - (sqrt(76) + -1)*2))*4*-4.\nAnswer: -11040 + 416*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 281*s + 1 = 280*s, -11*p + 2 = -2*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321056.\nAnswer: 2, 72533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + 0*a)*(-4 + 5 + 3) - 2*a + 1 - 1 in the form b + c*a and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 791\/8. Let m = 23 + -18. Suppose -7 = -2*q - 3*f + m, 3*q = 4*f - 16. Are q and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 7*b - p - 30, 4*b - 24 = 4*p for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.224955 to 1 dp.\nAnswer: -156.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.811816mg in kilograms?\nAnswer: 0.000001811816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m + 1 + m**3 - 3*m**2 + 0*m. Suppose g = 2*o - 2 + 4, 4 = 2*o. Suppose g*l - 31 = -13. What is v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40255 divided by -5?\nAnswer: -8051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-33)\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yihs when four letters picked without replacement from sshtnsnhtihiniiy?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 19 = -4*t - b, 2*t = 4*b + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.09. Let i = n + -0.1. Let w = -83011 - -83012. Which is the nearest to w? (a) 1\/6 (b) -3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 1. Let v(p) = -p**3 - 4*p**2 + 4*p - 4. Let h be v(-5). Let l be k(h). Round l to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9492 to the nearest 100.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/6)\/(19*10\/(-1140))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*(-252)\/(-8). Suppose 7*o - m - 7 = 0. What is the derivative of 0 - 9*s**o - 2 + 5 + 8*s**4 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/(v\/(v**(-2\/11)*v)*v)*v))**17)**(-33\/7))**(2\/13) assuming v is positive.\nAnswer: v**(918\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z**(2\/5)*z)))*z*z\/z**(-2))**17)**(5\/4) assuming z is positive.\nAnswer: z**(153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (68472\/(-1269) - -13).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 305\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 18. Let g(h) = -6. Determine -7*g(t) + 2*i(t).\nAnswer: -2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.24765l to millilitres.\nAnswer: 57247.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 6 - 6 + 0*o**3 + 5*o**2 to the form c*o**3 + d*o**2 + z + t*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 16*n**2 + 41*n - 29. Let a be d(13). Let p(c) = 2*c - 2. Let s(i) = 5*i - 5. Give a*s(t) + 7*p(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9050*c**3 + 11851.\nAnswer: 27150*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 1.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((6\/(-184))\/(-1)). Suppose q - s + l - 268 = 0, 4*s = -5*q + 907. Suppose -2*x + 2*j + 376 = 0, 0 = x - 2*x - 2*j + q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = 6*o. Suppose d - 2*i - 8 = 0, -4*i - 12 = -4*d + 12. Calculate the highest common divisor of o and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 88. Factor -3*f**q + 134*f - 2 + 2*f**3 - 133*f + 2*f**2.\nAnswer: -(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/12)\/(-2 - (-97702)\/48852).\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.72 + -17.72. What is the nearest to -0.03 in -0.3, 0.3, 3\/14, k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077393.\nAnswer: 3, 197, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11343595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 73 = 2*w, -113 = -2*w + r + 2*r. Let d be (-2)\/7 - (-112)\/w. Suppose d*s - 30 = -s. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1338768?\nAnswer: -1\/334692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g - g**2 + 3*g)*(0*g + g + 2*g) + 5*g**3 + 3*g**3 - 2*g**3 + 6562*g - 6562*g - 431*g**3 to the form r + l*g**2 + c*g + a*g**3 and give a.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d**2 - 6*d - 28. Suppose -256 = -183*w + 215*w. Let c(g) = 9*g**2 - 4*g - 19. Determine w*c(a) + 5*n(a).\nAnswer: -2*a**2 + 2*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49890729 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -27, -40, -55?\n\"Answer: -z**2 - 8*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**5 - 17*f**4 - 50*f**3 - 3*f**2 - 3. Let y(w) = -2*w**5 - 18*w**4 - 50*w**3 - 2*w**2 - 2. Let u(s) = 2*r(s) - 3*y(s). Let u(g) = 0. What is g?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j**2. Let i(y) be the first derivative of 1\/2*y**2 + 0*y - 4. Determine i(g(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**3\/6 - 2*g**2 - 3*g. Suppose -4*q - 3*k + 8 = -7*k, -4*k = -3*q + 3. Let y(p) = -p + 3. Calculate q*x(d) + 6*y(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 246605838 and 3.\nAnswer: 739817514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g + 37. Calculate the remainder when q(18) is divided by 85.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (774 + 1445 + 870)*(0 + 0 - v).\nAnswer: -3089*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 3:01 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*u + 26 = 0, -7652*g + 2*u = -7650*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 2, g: 3}. Give prob of sequence nan.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 105+-38046039\nAnswer: -38045934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 + t - 1. Let m be v(1). Suppose -7*i + 11 = 32. Sort -5, i, m, -4 in descending order.\nAnswer: m, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 13) to base 5\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/29, 0.4, -1\/4 in ascending order.\nAnswer: -1\/4, 2\/29, 0.4, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -6) + (148 - 121) - (20 - -2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.08 - -0.08. Suppose 0 = 2*p + 4*k + 4, k + 37 = 4*p - 0*k. Let d = p + -5. Which is the closest to 1? (a) i (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -3\/5, 0.0107, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 5*o + 5. Determine m(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 + 1 - (-74 - -77)) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55067*i**3*w**2 + 21309*i**2*w**2 + 2*i**2 + 2*i*w**2 wrt i.\nAnswer: 330402*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**0)**(-40)*(s**(-1))**39)\/(s*s*s**(-3\/7)*s\/(s*s*s**(3\/5))*s**(-3)\/s*s**(1\/11)) assuming s is positive.\nAnswer: s**(-44299\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2238 = 14*p - 15*p, -5*p - 2*b = -11298. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + 1213?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.087, 2\/15, 0.4, 99.17 in decreasing order.\nAnswer: 99.17, 0.4, 2\/15, -0.087, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.319 - -0.081. What is the closest to -1\/2 in -2, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 - 42 - 37 - 3*k**2 in the form r + c*k + i*k**2 and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1 - 12\/(-15)). Let o = 25.24 - 26.24. What is the nearest to g in -3, 2, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/66)\/((-3)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 99 - 267 - 2*k**2 + k**2 + 164 + k. Let p(t) = 1. Determine 5*p(a) + r(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.429um in centimeters?\nAnswer: 0.0591429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.78 and 23.652.\nAnswer: 32.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**3 + 16*i + 2\/5*i**4 - 2\/5*i**2 + 0.\nAnswer: 2*i*(i - 40)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 15257578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -70) + (-127 - -64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, 7, 69 in ascending order.\nAnswer: -3, -1, 1, 7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 12*t + 10 = 0. Let v(y) = y - 2. Let s be v(t). Which is the nearest to 1? (a) s (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2029 + 499 + 2*z**3 + 495 - 3*z**3 + 502 + 538.\nAnswer: -z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 682640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 879*d - 33396. What is z(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 3277343?\nAnswer: 3277336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.12 + 0.12. Let d = -3 + 4. Let c = 1 + d. What is the nearest to c in 4, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1444144 (base 5) to base 13\nAnswer: -11260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 j when four letters picked without replacement from {k: 3, m: 1, j: 3, i: 13}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-36) - 40\/18 - 0. Let m(k) = 8*k**2 + 9*k + 2. Let i(u) = 17*u**2 + 19*u + 4. Let d(a) = 6*i(a) - 13*m(a). What is d(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**5 + 3*b**3 + 4*b**2 - 24*b.\nAnswer: 360*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Suppose b*y + 3*w + 1030 = 3738, -y + 2*w + 539 = 0. Suppose -o - y = -5*g - 2*o, 5*g + 4*o - 529 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(1\/(-10)). Suppose 0 = 5*q - 2*h - 19, g*q + 2*h = -12 + 38. Let u = q - 2. Solve -u*z + 12 = 0, -b - 16 = -4*z + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 69\/(-6)*-2 + 0. Let h(u) = 4*u - 46. Let n be h(12). Solve 0 = 5*v + m + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 - 26*c**2 - 76*c + 30. Let l(o) = 2*o**3 + o**2 - o. Let v(s) = -2*l(s) + n(s). Let y be v(-30). What is y rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = r + 16, -5*r - 9 = 5*f - 54 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -133183333?\nAnswer: -2\/133183333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 5 - 5)*(-t + t - 3*t) - 2*t - 3*t + 7*t + (-2 - 2 - 9)*(0*t + 2*t - 4*t) as m*t + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -1 + (11 - -27) + -31 + 1 + -8.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2 + 3 + 6157*o**2 - 6159*o**2 + 3*o**4 to r*o**3 + k*o**4 + z*o**2 + f + j*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zziizizizzzi. What is prob of sequence iiz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, k: 2, n: 3, t: 1, y: 4, c: 1}. What is prob of sequence aty?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 13*h + 11. Let z be t(6). Suppose -z*k = -k. Suppose k = 3*s + 8 - 23. Solve s*g = g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/4 - d**3\/3 - d**2\/2 + 1. Let u(w) = 10*w + 115. Let t be u(-11). Suppose 0*q - 10 = t*q. Determine p(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 43*d - 8. Let o(w) = -75*w + 17. Determine 7*j(r) + 3*o(r).\nAnswer: 76*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(13\/2 - 5))\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103932 - 56771. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.37 - 3.37. Let x = 0.8 - 3.8. Which is the closest to 0.3? (a) d (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(133) + (sqrt(133) - -2*sqrt(133)))*6 + sqrt(133))*-5)\/(1*sqrt(7)*-3 - (sqrt(56)\/sqrt(288) - sqrt(7))) + -4.\nAnswer: -1500*sqrt(19)\/13 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*2*-4*-1.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9204853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41.3? (a) 0.4 (b) 1 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/360 + 7*q**5\/120 - q**4\/3 - 5*q**3\/3 + q**2 + 45*q. Let r(s) be the second derivative of h(s). Factor r(a).\nAnswer: (a - 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 25. Suppose -2*z = 111 - 157. Suppose -61*b - 304 = -z*b. Sort b, -5, r in ascending order.\nAnswer: b, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-11)\/f*f)*((f**(-22)*f)\/f)\/f)**39 assuming f is positive.\nAnswer: f**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45135*d**6 + 1986*d**3 - 17*d**2 - 2*d - 286494 wrt d?\nAnswer: -5416200*d**3 + 11916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510132 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)\/(q\/(q**(11\/6)*q)) assuming q is positive.\nAnswer: q**(49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 400 + -382. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 22*o - 5*o. Solve -1 = 5*b - i, -2*i - 10 + o = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.104 - 0.534. Let n = 0.73 + s. What is the nearest to 1 in 1, n, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1267 and 1991.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -1327, -3000, -5341?\nAnswer: -8350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11679 - -9?\nAnswer: -11670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -15)*45\/(-180)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 7*g + 11. Let j be y(4). Suppose -2*l + 83 = -j. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 25*s**2 + 1 - 2 + 10*s**2 to u*s**2 + n + x*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 942760, 942776, 942790, 942802, 942812, 942820, 942826?\nAnswer: 942830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658*j - 2661*j = -2*f + 62, f - 26 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, i: 2, g: 2, o: 1}. What is prob of picking 1 r, 1 g, and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 + 7. Let p(f) = 11*f**2 - 16. Let z(o) = -9*i(o) - 4*p(o). Let d(n) be the first derivative of n**2\/2 - n + 1. Give d(c) + z(c).\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**4 - 3*z**4 - 7*z**4 + (0*z - 3*z - 3*z)*(-z**2 + z**2 + 3*z**2)*(-2*z + 1 - 1) to o*z**2 + l*z**3 + n*z**4 + s*z + x and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 4145?\nAnswer: -414a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39074281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.226 smaller than -776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37 + 42)*(-284)\/(-10)*-1. Let h = k + 78. Let w be 1488\/h*4\/(-6). Is w at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.7. Let q = -0.6 - 0.4. Let d be (0 - (-1 - -3)) + -2. Which is the nearest to q? (a) d (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*i**5 + 2081*i**3 + 18239*i wrt i.\nAnswer: -120*i**3 + 12486*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**27))\/(w**(14\/3)\/w))**20 assuming w is positive.\nAnswer: w**(-1840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78621\/1060 or -75?\nAnswer: -78621\/1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 13 = 0. Suppose -96 = c - 5*c. What is the remainder when c is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeezebeveezeeyebele. Give prob of sequence zvzy.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.51 - -28. Let v = f - -0.11. Is v greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1515 - -6?\nAnswer: 151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3845)\/(-325) + (-2 - (-2346)\/1326)\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (27 - (-13 + 13 + 7)) - (6 - -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 24*h - 4 = -22*h, 0 = i - 4*h - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u**3 + 4*u**2 - 5*u**3 + 7*u**3 + 2*u**3 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-8)\/(-84)). Suppose -b*g + 1858 = -3042. Round g to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132534, 132500, 132430, 132318, 132158, 131944?\nAnswer: 131670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 8*u**2 + 4*u - 2. Let m be q(-5). Suppose -10*n = -9*n - 21. Calculate the remainder when (-742)\/(-18) + 16\/m is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*w - 110*w - 687*w + 18166 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 7 + 24 + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (-2 + (-1*sqrt(2057))**2) - sqrt(2057).\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22 - (-6 + 5))*(3 - -3). What is the tens digit of 7\/(k\/45)*(-772)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 - 73362*x**2 - 445623780*x + 35206412904 = 0?\nAnswer: -12266, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + (-7 - 204\/(-18)). Which is smaller: 7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -49*h**5\/15 - 119*h**4\/9 + 160*h**3\/9 - 8*h**2 + 2*h + 15. Find q, given that f(q) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3665672167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**7\/35 + 11*m**6\/120 - m**5\/15 - m**4\/24 + 34*m**2. Solve g(x) = 0 for x.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 65 (c) 3\/8452 (d) -3 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 4. Let k be s(-4). Suppose -67*o + 45 = -62*o. Suppose x - 5 = 2*x + 4*r, 0 = x - 3*r - o. Solve -x*v - 2*v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7866 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.72 - 11. Let x = y + 1.08. Let c(n) = -n**2 + 3*n - 2. Let f be c(3). Sort 1, f, x, 5 in descending order.\nAnswer: 5, 1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 25*v - 82. Calculate the remainder when 34 - (1 + 0\/(-1)) is divided by o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/109 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204123 (base 5) in base 8?\nAnswer: 53615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (3 - -5) + 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1608408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6092 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from ttsmaeteataatmmtat.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 78. Suppose -4*j - 2*g = -5*g - 149, -3*j + 110 = -t*g. Let w = 59 - j. What is the greatest common divisor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 992685 + -585345. Suppose -33*p + 38*p = y. Suppose 0 = 2*s + 13732 + p. What is s rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 11*g**8\/336 - 7*g**5\/30 - 32*g**2. Find the third derivative of b(m) wrt m.\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1) - -1)\/(9204\/(-2832))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-26)\/((-2652)\/17))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 94.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1251814 - b?\nAnswer: 1251805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/16 - 2232\/64. Let n be (-1)\/(g\/10 - -4). Let z be 86\/1204 - (-27)\/14. Put n, -11, z, 4 in increasing order.\nAnswer: -11, n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**2 + r - 4. Let o be d(-3). Let g be 2\/4 - o\/(-4). Suppose y = -3*y - 2*c + g, -2*c - 17 = -5*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 35. Suppose -5*l - u = 0, 4*x + 4*l + 5 = 41. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*s - 8, -6*s + 61*l - 63*l - 14 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12314?\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 - 1. What is r(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -6 - s + 1\/3*s**3 + 1\/2*s**2 + 1\/2*s**4 + 1\/20*s**5. What is j(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 12. Let s be g(8). Let k = -25 + 10. Let o = k - -15.5. Sort -3, s, o in decreasing order.\nAnswer: o, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7540852 divided by -11.\nAnswer: -685532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94024961962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 110*h + 31. Determine w(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 1352.904?\nAnswer: -8117.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86893812 is divided by 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/18251 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -7 (b) -2 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**6\/6 + 4*u**5\/5 - u**4 - 2*u**3\/3 + 5*u**2\/2 - 2*u + 9794. Factor a(b).\nAnswer: -(b - 2)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*d = 406*d + k - 23, -4*k + 50 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 73. Suppose 3*n - 26 - x = 0. Suppose 0 = -4*l - n + 56. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -34599 + 2*x + 34599. Let i(r) = 4*r - 4. Let o(n) = -4*n + 3. Let d = -56 - -52. Let k(z) = d*o(z) - 3*i(z). What is p(k(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1336 or -174?\nAnswer: -1336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15923215 divided by 38555\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -482357, -964721, -1447087, -1929455, -2411825?\n\"Answer: -h**2 - 482361*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150607 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -151. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -39*u**3 - u**2 + 5*u + 5. Does 5 divide b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) -1\/2 (c) -2206 (d) -3 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 260491499, 260491501, 260491503, 260491505, 260491507?\n\"Answer: 2*q + 260491497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1598500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5505748 to two decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 9. Let i be n(-6). Let x(r) = r - 3 + i. Let c(o) be the third derivative of o**5\/12 + 589*o**2. Determine x(c(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.05 less than 19880.4705?\nAnswer: 19886.5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -30. Let i = 886 + -555. Suppose -2*t - m = -i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13476.1 - -13476. Let d = -0.03 + 0.05. Let w = d - -0.28. What is the closest to t in -5, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132535 (base 7) in base 16?\nAnswer: -6187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3142962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -0.8, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1, 9 in descending order.\nAnswer: 46, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/2)\/(u*u**(-9\/5)))\/((u**5\/u)\/((u*u\/((u**(-11)*u)\/u)*u*u)\/u*u)) assuming u is positive.\nAnswer: u**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -43*b**3 + 5*b**2 - 5*b + 5. Let v(i) = 1311*i**3 - 152*i**2 + 152*i - 152. Calculate -152*s(n) - 5*v(n).\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.64 + -6.7. Let f = 1773 + -1779. Which is the closest to -2? (a) 1\/2 (b) l (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 + 7 = 0. What is the remainder when (2 - (-14)\/q)\/(1\/(-10)) is divided by (-27)\/(-5) - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3110, -4410, -6590, -9662, -13638, -18530?\nAnswer: -24350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/11241080?\nAnswer: 1\/11241080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = -4*x - 4, 5*x - 4*g = -1. Suppose 1130*q - 1138*q = -88. Calculate the least common multiple of q and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -357 and 640.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10414*p**3 - 1181?\nAnswer: 31242*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -16) + 3 + (24 - -1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3*6 - -1*sqrt(84)*6)\/(4*sqrt(120)\/((sqrt(40)\/sqrt(2))\/sqrt(2))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y**3 - 2 + (0*y - 2*y + 0*y)*(4*y**2 - 2*y**2 + y**2))*(-2 - 8*y - y - 6*y).\nAnswer: 120*y**4 + 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10503, -9869, -9235?\n\"Answer: 634*f - 11137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-5) - (-30)\/50. Suppose 64 = -r*a + 4. Let h be 1*9\/(a\/(-4)). Solve 16 = h*m - 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -52882157.\nAnswer: -2\/52882157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8754 + 7?\nAnswer: -8748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 104326653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7139)\/531 + 385\/(-693)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + i**3 + i**3)*((-5*i + 2*i + 2*i)*(3*i - i + 0*i) - 80*i**2 + 48*i**2 + 2*i + 29*i**2 - 65 + (-i + 3*i - 3*i)*(2 + i - 2)).\nAnswer: 18*i**5 - 6*i**4 + 195*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f**3 + 3*f**2 - 2*f - 1. Determine p(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 58*l + 2. Let s be g(3). Let y = s + 189. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 1. Let j be y(-3). Solve g - j = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 4*q - 22. Let s(j) = -7*j**2 - 8*j + 46. Let c(y) = -4*s(y) - 9*z(y). Suppose 4*g + 32 = 8*g. Is c(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 4399544*a**2 - 2199771*a**2 + 62 - 2199775*a**2.\nAnswer: -2*a**2 + 2*a + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -22*o**2 + 3. Let x(a) be the second derivative of -a**4\/3 + 2585*a. What is d(x(t))?\nAnswer: -352*t**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267707*v + 69697*v - 108946*v.\nAnswer: -306956*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 3) + 6 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25.61364 micrograms?\nAnswer: 0.02561364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2567628.\nAnswer: 12838140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(1 - x**2 - 1) - 513*x**2 - 1960*x**2 - 2405*x**2 + 264*x**2 + 2 - 2*x**2 - 2.\nAnswer: -4615*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/16758 and -55\/26.\nAnswer: 217854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from {r: 3, v: 7, e: 4, d: 5}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - ((8 - 5) + 6) - -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16172, 16164, 16152, 16136?\n\"Answer: -2*t**2 - 2*t + 16176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s + 51*s + 56*s)*(-2*s**3 + 2*s**2 - 2*s**2)*(12 - 5 + 7).\nAnswer: -2212*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -27\/2. Which is the closest to 0.1? (a) q (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27423 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.02, -5\/199, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -29. Let r = 18 + c. Suppose -2*p = -6 + 16. What is the second biggest value in p, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7347882 divided by -1224647?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48359 = 5*c + 3*f, 7*f - 12*f - 48375 = -5*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -17*k - 31*k + 3280*k**2 - 3180*k**2 - 16 - 36*k**3.\nAnswer: -4*(k - 2)*(k - 1)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*m - 3 = 8, -3*m = -2*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150401707?\nAnswer: 7, 13, 491, 25747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2. Let z = 38 - 43. Let v be 36\/(-20)*z\/3. Let f(m) = -2 - v*m + 6 - 4. What is r(f(i))?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + 4*l - 6*l)*(7 + 7 + 1) + l + 3*l - 3*l + (3 - 2 + 1)*(4*l - 5*l + 2*l) in the form y*l + r and give y.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 4*g. Suppose -5*k + 2 = 7. Let w be 3 + (3 + k)\/(-2) + 1. Let t(d) be the third derivative of -d**4\/8 + d**2. Calculate w*v(y) + 4*t(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -332 + 343. Suppose -5*k + 6*w + 75 = a*w, -39 = -4*k + 3*w. What is the lowest common multiple of k and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80169216 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29276560 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.43989 micrograms in kilograms?\nAnswer: 0.00000008643989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*t - 232, 2*z + 3 = -4*t + 467. Suppose t + 24 = j. Suppose -13 - j = -9*r. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:08 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (-10 + -14 + 36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21564, -21712, -21860, -22008, -22156, -22304?\n\"Answer: -148*k - 21416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2472 and 95\/2472.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2*(-2)\/(-4). Let c(s) = -170*s + 5 + 5*s**2 - 4*s**2 + 169*s + s**3. Let k be c(z). Solve k + 7 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.572 times -777.71\nAnswer: -1222.56012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*j**3 + 33208*j**2 + 7252*j - 2416 = 0. Calculate j.\nAnswer: -2\/5, 2\/11, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 6 in descending order.\nAnswer: 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.014303352 + 0.3\nAnswer: 0.285696648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187746 and 5655.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1428\/(-3570))\/((-6)\/285). Suppose 5*a - 6 = 184. What is the highest common factor of z and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -564 + -17?\nAnswer: -57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n + 33. Calculate p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**4 - 270*i**3 + 118040*i**2 + 270*i - 118035 = 0.\nAnswer: -183, -1, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/24)\/((-1799)\/1028)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217557713.\nAnswer: 3, 733, 553687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6440 + 4440 - 1182)*(-18*q**2 + 2*q**2 + 11*q**2) to h + n*q + y*q**2 and give y.\nAnswer: -48490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7697787.\nAnswer: 3, 17, 149, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 16*p**2 + 10*p + 292. Determine s(-14).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1642, -1686, -1722, -1750, -1770, -1782?\n\"Answer: 4*z**2 - 56*z - 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*a**2 - 163*a**2 - 6 + 80*a**2 + 48*a**2.\nAnswer: 35*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 684560794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t**2 - 8. Let f = 18 + -18. Let j = -8 - f. Let u(d) = 9*d**2 - 5. Let v(o) = j*u(o) + 5*k(o). Let h(z) = 18*z. What is v(h(b))?\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -20. Let w(q) be the second derivative of 1\/120*q**6 + 1\/48*q**4 - 1\/40*q**5 + 0*q**3 + b*q**2 - 2*q + 0. Solve w(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 26. Which is the closest to 0? (a) 1 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470841 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3562)\/10 + (-5)\/25. Let p = 1731\/5 + u. Calculate the common denominator of 59\/4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87189, -87187, -87185, -87183?\nAnswer: -87181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-484)*-2)\/((-21)\/(-28)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 - 4*p**2)*(-p**3 + p**2 - p**2) + (-3*p**2 - 2*p + 2*p)*(-16 + 7*p**3 + 16).\nAnswer: -19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58278334.\nAnswer: 2, 4517, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*g + 22, -5*g = -2*g + 2*y - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 - 4. Let u be s(4). Put u, 6, -5 in ascending order.\nAnswer: -5, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.706 centuries to decades.\nAnswer: 357.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - 16*c - 21. Calculate b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769913 is divided by 8676.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 884*g - 1767. Give i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 941367874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(-1 + 6*sqrt(45) + 1)*-2)**2.\nAnswer: 414720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257103, 1028790, 2314935, 4115538, 6430599?\nAnswer: 9260118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 3*p**2 - 2*p + 2. Let i(f) = -3*f + 0*f**3 + 4*f**2 - 3 + 2*f**3 + 6. What is 2*i(s) - 3*l(s)?\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0*n**2 - 4\/3*n**4 - 8*n - 10\/7*n**7 + 22\/15*n**6 + 0 + 0*n**3 + 8\/5*n**5. Solve d(b) = 0.\nAnswer: -2\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256*c**2 + 12096*c - 142884.\nAnswer: -4*(8*c - 189)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5 - 6) + (-2 - -9) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 4.4497.\nAnswer: -8.8994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -1, -7, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*i - 64, b + b - 4*i = 28. Suppose 3*m - z = 21 + b, -3*z + 26 = 2*m. Solve -2*s - s = -n - m, 4*n = -5*s + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3607012 divided by -1.\nAnswer: -3607012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -t - 3*g - 10, g = 5*t + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1 + 137)*(-3 + 8). What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155203?\nAnswer: 155203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + 53. Let z(p) = -p - 1. Let a be z(-6). Suppose 3*k + 0*b - 40 = -b, k - a*b = 24. What is the highest common divisor of k and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -4*v + 15, -3*q = -v - 7. What is the second derivative of 12*p + 30*p**4 - 12*p**q - 16*p wrt p?\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 147 - 45. Let v = -99 + n. Suppose q + 10 = -s + 182, -884 = -5*q + v*s. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-160)\/(-50))\/(4\/10). Is j != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 12246 = 7032. Let a(i) = r*i + 6*i**2 - 2754*i. Let o(p) = 10*p**2. Determine o(a(j)).\nAnswer: 360*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012927 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13467187933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -79935, 1, -76 in descending order.\nAnswer: 1, -50, -76, -79935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68173, 136347, 204517, 272683?\n\"Answer: -2*t**2 + 68180*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -29*a + 60. Let d be k(6). Let l = d + 322. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 247234.4 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 601610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*z - 55, -4*s = s + z - 178. Suppose -5*l = -295 + s. Calculate the highest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*t + 11. Suppose -5*k + 18 = -2. Calculate the remainder when t is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7948\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 - -298. Let j(a) = 1081*a**3 - 2*a**2 + 3*a - 3. Is j(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 3)\/(6*(-1)\/57). Let w(n) = n**3 + 20*n**2 + n + 22. Is w(z) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 + 18405*l**2 - 915875*l - 34415625 = 0. What is l?\nAnswer: -25, 75, 18355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxp when three letters picked without replacement from qipuixqipipii?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h + 17*h - 480*h.\nAnswer: -514*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.619927+-2.6359\nAnswer: -2.015973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47804, 47803, 47802?\nAnswer: 47801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2. Let c be t(7). Suppose 3*a = -c*a. Solve 3*w - 4*h + 2 + 29 = a, 5 = -5*w - 5*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 17 + 3 = -2*h, -5*h = 4*d + 77. Let o = h - -26. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7581058*j**3*x - 786477*x wrt j?\nAnswer: -22743174*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-480)\/(-36))\/((-2)\/(-42)). What is the units digit of (8\/20)\/(4\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -27. Let u(q) = -q + 23. Let y be u(n). Is -3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 72.5080595?\nAnswer: 68.5080595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 4, -5, 5, -32.\nAnswer: -32, -5, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 10. Calculate r(-14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16 = -9*n + 4*n, -4*n = -3*a - 11. Suppose z - 9 = -f - a*z, 4*f + 5*z = 3. Sort f, 13, 3 in decreasing order.\nAnswer: 13, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4169201, -8338401, -12507601?\nAnswer: -16676801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 20 = -19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 4*t**2 + 4. Let h be f(-4). Suppose h*u - w + 4*w - 16 = 0, 0 = -4*w. What is the smallest common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:06 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d. Let y = 0 + d. Let m be (y - 2\/(-2))*1. What is the closest to m in -1\/8, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 12*c + 16. Let v be z(-11). Suppose 75 = 5*j + v*y, j - y = 3 + 4. Solve -5*d - j = 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - (-18 - 5)) + (-31 - -4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -g - 0*g. Let c = -32 + g. Let u be (-21)\/(-3) - (-12)\/c. Solve -12 = 3*k, u*k - k = -5*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(99)*2 + -3*1*sqrt(99).\nAnswer: -39*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 668?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -o + 2*o. Let u be (-2)\/8 - o\/(-8). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4*q**2 - 332. Let l(s) = -27*s**2. What is y(l(g))?\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, e: 1, b: 1, q: 1}. What is prob of sequence zy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 40*y + 161. Suppose -2*v - 6 = -4*v. Let x(t) = t + 1. Let b(l) = l + 11. Let u(a) = v*x(a) - b(a). Calculate u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*j + 20 = -111 - 38 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 762761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405)*-2 - (1 + sqrt(405)*1) - 1*(0 + sqrt(405))*5)**2.\nAnswer: 36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0 - -5) + -1. Let h = z + -9\/5. Which is the closest to 0? (a) h (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0421 - 47?\nAnswer: -46.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 348.\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 6 - 2 + 1 - 8*n**2 - 9*n. Let w be y(-7). Let m = w + 8. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**23\/j**(-14)*(j**2)**(-3\/2) assuming j is positive.\nAnswer: j**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7663 - -16562. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 2\/7 (b) -2\/5 (c) -0.2 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 11) to base 2\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4) + (37 - -194). What is the highest common divisor of 1265 and p?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 16*o - 5*o. Let c be (o\/15 + -3)\/1. Let q = c + -32\/15. What is the common denominator of -25\/23 and q?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5789543?\nAnswer: 241, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mttm when four letters picked without replacement from tttttmmtmtttttmttt.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613 = -20*l + 693 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1380*q - 81411. Calculate c(-59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14822.\nAnswer: 2, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92.3 at most as big as 19631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - c**3 - c**3 + 36*c**2 - 37*c**2 + 0*c**3 + 3207. Is v(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -875*m*o*w + 117*m*w + 8*o**2*w - 991*o**2 - 123005 with respect to o.\nAnswer: -875*m*w + 16*o*w - 1982*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50 and 3?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-90)\/12 + -3)\/2)\/((-2)\/72). What is the greatest common divisor of b and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56940 by -60.\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41799?\nAnswer: 3, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*q + 105*q + 23*q = 6434725. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - 236. Suppose -t = -k*y + 22, -3*t = -5*y + 3*y + 1. Solve v + t - 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 5 + 0*s**3 + s**2 + 0*s - 3\/4*s**4. Find the second derivative of w(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*q + 1 = -2*q, -2*w + 7*q - 39 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, 4, -6, 0, 0.2, 376 in decreasing order.\nAnswer: 376, 4, 0.2, 0.112, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v. Find the second derivative of -2*s**4 + v*s**4 - 2*s + 0*s**4 + s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {c: 3, p: 2, s: 1, m: 4, n: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjcggmbgkgkckkmjggkk. What is prob of sequence cjc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495365*i**2*x**2 + 626882*i**2*x + 2*i*x**2 - 2*i + x**2 wrt x?\nAnswer: 990730*i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 84, 1, 0 in ascending order.\nAnswer: -1, 0, 1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:26 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/39 - 1\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3318\/257 - -1227133\/69390. Let k = o + -47\/10. What is the nearest to 0.1 in 2\/7, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2 + (22 - 15). Suppose 2*i + 5 = 2*x - 5, 2*i - 4 = -v*x. Find the second derivative of 9*c + c**x - 29*c**2 - c + 12*c wrt c.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(1539)*1 - (sqrt(171)*-3)\/sqrt(9)))**2*-2.\nAnswer: -87552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2 - 14*c - 32. Let x be m(-2). Solve -3*p + x*p = 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.6022 rounded to 0 dps?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-12))\/(18\/(-108)). Suppose 0*l - 20 = -4*l. Find the second derivative of 0*n**l + 3*n - 2*n**5 - n**t wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 544*h**4 + 37.\nAnswer: 2176*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201313 (base 5) in base 2?\nAnswer: 101011001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmktmkkoomt. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 889\/(-399) + (427\/21 - 18)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108629910 to the nearest 10000.\nAnswer: 108630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**3\/3 - 15*t**2\/2 + 2*t - 22. What is the tens digit of v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-33))\/((-116)\/(-5742)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (54\/(-9) - -18))\/((-8)\/12972)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*n**2 + 2408*n - 2408*n to s*n**2 + u + k*n and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.785 - 2.03. Let i = s + -2.755. Let k be 2\/(-5) + (-16)\/(-90). Which is the closest to 2? (a) i (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -73092*s - 219390. Calculate r(-3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5)**(-10\/3)*(r\/(r*r**(3\/2)*r))\/((r\/r**(12\/11))\/r) assuming r is positive.\nAnswer: r**(-471\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 0*q**3 + q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13865051?\nAnswer: 13865051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*k + 1 = -0, -4*k = -4*x - 16. Sort x, -5, 5 in descending order.\nAnswer: 5, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 - -1?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6733, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5482104*r**5 + 12083312*r wrt r.\nAnswer: 109642080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*h - 351, -3*x - 2*h - 209 = -h. Let l = x + 69. Solve l*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 + 6 + -10 - -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 7*x**3 - 28*x**2 - 20*x.\nAnswer: x*(x - 10)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9))**(-25)*n**9*n\/n**14 assuming n is positive.\nAnswer: n**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*d - 7*w + 4, -2*w = 3*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/7 (b) 4 (c) 5\/2 (d) -1 (e) 430\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3770300 and 61140.\nAnswer: 11310900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560\/42 + 0\/(-1) + (-10)\/70.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + v + 2*v + 0*v.\nAnswer: 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2447*z - 2458*z. Which is the nearest to z? (a) -13\/19 (b) -3 (c) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25 + 10*f - 12*f - 8. Let v be q(7). Solve -3 = v*n + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, -1.9, 90, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840 (base 9) in base 6?\nAnswer: -10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 7*l + l**3 + 4*l**4 - 4*l**3 + l - 2 + 3*l - 3*l**4 as a*l**4 + j + v*l + x*l**2 + w*l**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5089, -10002, -14911, -19816, -24717, -29614, -34507?\n\"Answer: 2*u**2 - 4919*u - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:23 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 52*k + 5. Let i be a(13). Sort i, -1\/6, -245 in decreasing order.\nAnswer: i, -1\/6, -245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760527189 and 3141.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 3. Give i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + -7 + 1 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:36 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 2*z**3 + 4*z**3)*(4*z**2 + 8*z**2 - 3*z**2) + (2*z**2 + 2 - 2)*(-4*z**3 + z**3 + 8*z**3).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -32*f + 193. Calculate the greatest common factor of f and 1098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037743 is divided by 2588.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 1, m: 3}. What is prob of picking 1 k and 3 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71258358 and 2466?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 44\/4 + 1. What is the tens digit of (m\/(-2))\/((-1)\/14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 986*t - 1009*t + 3772. Solve -19*d + 50 = t for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3750060*k*n**3 + k*n + 19*k + 899177394*n**3 wrt k.\nAnswer: 3750060*n**3 + n + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/12*2 + 14. List the prime factors of j\/60 - 39\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a6b8689 - -3?\nAnswer: a6b8690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865544 is divided by 406?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 10015 = -99*j + 126327. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34587.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -89. Suppose -5*g - 15 = 0, -2*d - z*g + 3061 = -g. Suppose 8*c - d - 305 = 0. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 6.39.\nAnswer: -6.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t**3 + 15*t**2 - 11*t + 13. Let s(i) = -2*i**3 + i**2 - 1. Let o(a) = -6*s(a) + w(a). What is o(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 3*c + 60 = 0. Let j be c\/1*(-8)\/88. Is j less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.1. Let p = -77 + 109. Let s be (-2)\/(-15) - p\/(-210). What is the nearest to s in 3, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab7e (base 15) to base 2\nAnswer: 1000110111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1483, 1436, 1395, 1360, 1331?\n\"Answer: 3*z**2 - 56*z + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/56 - (-2)\/(-7). Let v(q) = -7*q + 4*q**2 - 1 - z - 3*q**2 + 8. Let o = 10 - 5. Give v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + c + 371349, -2*c - 185678 = -2*v + 2*c. Suppose v = 26*l - 9*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtm when four letters picked without replacement from mmttfvm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 13*z + 12. Let y be ((-2)\/z)\/(7\/(-24)*2). Let u = 37\/3 - 13. Which is the second biggest value? (a) -0.4 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -260*m + 268*m - 72. Determine w, given that 73*w + m*w**3 + 19*w - 88*w**2 - 13*w**3 + 0*w**3 = 0.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*b + 26, -62*p = -61*p - b - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 3*b**2 - b + 26. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + 61.86. Let z = q - -28. Let j = -90.00000122 + z. Round j to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (219\/(-146))\/(-2*(-2)\/24). Let d(f) = -12*f. Let t(z) = -26*z. Let o(k) = r*d(k) + 4*t(k). Let a(c) = -8*c**2. Give o(a(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470396?\nAnswer: 2, 3, 122533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -2, 1\/4.\nAnswer: -13, -2, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-219)*(-3)\/(-9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 503740, 1007482, 1511224, 2014966, 2518708, 3022450?\n\"Answer: 503742*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1142 and -6?\nAnswer: -6852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -4*p**3\/3 + 9. Let u(q) = -4*q**2. Determine d(u(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1407 in -1\/3, -0.216, -4, 3\/8, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94.68 and -0.3891?\nAnswer: 36.839988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 132624\nAnswer: 1\/132624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 968167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*q - 28, 0 = 44*c - 43*c - 5*q - 34. Solve -3*m + 8 - 35 = -3*b, 0 = c*b + 4*m - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-3)\/((-9)\/15). Let f(n) = n + 11. Let t be f(-8). Suppose 0 = -c*k + t. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 113. Let s = 195 + -195. Suppose m = p - s*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t + 50 = -36*t + 4*g, -2*t = 3*g - 56. Let i = 38 + -4. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 = j, -31 + 28 = -j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 20*m**2 - 4*m**2)*(2*m**3 - 4*m**3 + 3*m**3).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2))\/(476\/816).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2557 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - y - 7. Let q(x) = x + 1. Let h be 0 - -17 - (-3 + 3). Suppose 0 = 2*w + 7 - h. Let i(v) = w*q(v) + d(v). Determine a, given that i(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3198 - 3198.1. Which is the closest to u? (a) -2\/29 (b) 19 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 188 = -2*p + 7*j, 2*j = -4*p + 366. Let u(s) = s**3 + 6*s**2 - 10*s - 45. Let r be u(-8). Let m = p + r. Round m to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 41 = 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 16 = -4*o. Let u be 7\/(-21)*1*-15. Let m(i) = -i**3 - 2 + 3*i**2 - 3*i**2 + 6*i**2 - u*i. Give m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -80*a. Let b be c(-5). Suppose -206*h - 304 = -225*h. Calculate the highest common factor of b and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {z: 10, d: 9, x: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 490276 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 6*j - 13*j + 19*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/4))**(-1\/18)*(p*p**(-3\/10))\/((p**(-2)*p*p)\/p))\/((p*p**3)**(-1\/40))**36 assuming p is positive.\nAnswer: p**(631\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1591*d - 1471898 + 1605542 = 0 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385596 by -136.\nAnswer: 96399\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99515539?\nAnswer: 4409, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9113*y**3 - 49*y**2 - 55*y**2 - 30*y**2 + 134*y**2 + 9110*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g + 8*g - g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5014 * -1.4.\nAnswer: 7019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let u(i) = -20*i - 185. Let l(f) = -u(f) + 25*x(f). Does 32 divide l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 137 = -34. What is the greatest common factor of 171 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -4*a + 472. Suppose 2*i - 1 = 3. Suppose w + 2*s - 3*s - a = 0, -i*w - 4*s + 116 = 0. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -1\/20*s**5 + 0*s + 0*s**4 + 0 + 0*s**3 - 4*s**2. Factor d(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176292 and 5229?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*n - 50, v + 2*n = -0*v - 10. Let w = v - -7. Let f be ((-4)\/2)\/((-11)\/w). Is -2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 24. Let q(n) = 4 + 1 - 4. Let p(c) = 72*q(c) + 3*r(c). Let u(s) = s - 8*s + 5*s + 6*s. Calculate u(p(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425 - 420. Let c(x) = 11*x**3 - 3*x**2 + 4. Let m(r) = 21*r**3 - 5*r**2 + 7. Determine s*c(v) - 3*m(v).\nAnswer: -8*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 232172027 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.9 + 42.7. What is the nearest to 0 in s, 1\/2, -0.3, -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 563*v**3\/3 + 49*v**2\/2 - 6*v - 492. What is the second derivative of p(k) wrt k?\nAnswer: 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3011 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 3.2. Let a = g + -4. Let x = -6.99999945 - a. What is x rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmm when three letters picked without replacement from mxfmxc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjdt when four letters picked without replacement from ztejtjdz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/9 + (-1 + 1)\/2. Suppose -5*q + 25 = -5*k - 5, -q - w*k + 2 = 0. Let i(a) = 5*a - 12. Let m(o) = 3*o - 8. Calculate q*i(b) - 8*m(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*w + 221*w - 404*w - 3.\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/12 - 11*f**3\/18 - f**2 + f + 44. Determine o, given that r(o) = 0.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872*p + 1526*p - 4830*p + 1762*p.\nAnswer: 330*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -9, 27, 83, 153?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126881, -253848, -380815, -507782, -634749, -761716?\n\"Answer: -126967*n + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4842 + 4833.996. Let s = g - -8. Let h = -0.00400059 - s. What is h rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(1620) + 0 + sqrt(45) + -1)**2.\nAnswer: -42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124401 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (0 + -3) - ((10 - 31) + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65, -306, -721, -1310, -2073?\n\"Answer: -87*c**2 + 20*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 1\/2 (c) 2 (d) 13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 4. Suppose -25*y = -20*y + 20. Let i be g(y). Are i and -7\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:10 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -547, -632, -717, -802?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from prrrmrjpjppprpppjj?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -50*x**2 - x + 1. Let p(y) = 75*y**2 + y - 2. Calculate -5*p(d) - 7*r(d).\nAnswer: -25*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17*s**2 - 3*s - 696. Does 26 divide c(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*s = -44 - 11, -4*k + 2*s + 34 = 0. Let z be k\/2*(9 + -8). Which is the third biggest value? (a) z (b) -4\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/3)\/((1235283\/(-43542))\/(-997)).\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14035.\nAnswer: 5, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -15154*j**3 + 202*j**4 + j**5 + 24504*j**3 + 388060 + 65625*j - 87100*j**2 + 163190 = 0.\nAnswer: -105, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113448 + 41956 = -1172*u for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1532\/115 + 380\/23. Which is the smallest value? (a) p (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*f - 21 = 0, y = f - 5 - 11. Let w = -12 + 49. Let z = y + w. What is the lowest common multiple of z and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r + 4*y = 93*r - 17, 2*r = -2*y - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 - 4 = 0, -4*j + 4 = 2*c. Suppose 12 = 5*w - 4*g, 7*g = 2*w + c*g - 6. Let a be w\/30 + 176\/30. What is the highest common divisor of a and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/5*(5 - 0). Let s = l - 0. Let r = s + 13. Solve -p + g = r*g + 10, -4*g = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 3269 - 3267 + 6536.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 702861*j\/4 - 702859\/2.\nAnswer: -(j - 702859)*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -30*d**2. Let u(r) = 2*r**2 - 1348*r - 1. What is u(p(m))?\nAnswer: 1800*m**4 + 40440*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*a + 182*a - 532*a + 73*a - 378*a.\nAnswer: -737*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**3 + 7*j**2 - 6*j - 6. Let l(w) = -4*w**3 + 5*w**2 - 7*w - 5. Calculate 3*d(v) - 4*l(v).\nAnswer: v**3 + v**2 + 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebccfcffffbbca. Give prob of picking 1 a and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40919263.757 and 825.\nAnswer: -40918438.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*f + 992, -2*f + 205 = 2*c - 285. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, t: 2, e: 1, c: 2, i: 1, f: 1}. Give prob of picking 2 f, 1 e, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:35 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/61, 1722, -1\/5, 34, -0.1.\nAnswer: -1\/5, -0.1, -2\/61, 2, 34, 1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 29*i + 8*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 - -2 - -9) + 36 + -41 - 71?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3*q**2 - 5*c*q**2 + 155*q**2 with respect to c.\nAnswer: 12*c**2*q**2 - 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4152652 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b**(-7)\/b*b*b)\/(b**7\/b**(-4)) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4\/17 + 2440*o**3\/17 + 758696*o**2\/17 + 8842560*o\/17 + 26266752\/17 = 0.\nAnswer: -604, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100100001001111100000?\nAnswer: 100100001001111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 8*b - 5. Calculate the remainder when c(-8) is divided by 2\/(-20)*2 + 1515\/75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1546 + 1615. Calculate the remainder when x is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.49955l?\nAnswer: 13499.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*k**2 - 377*k**2 - 50*k**2)*(-22*k**2 + 10*k**2 - 18*k**2).\nAnswer: 11610*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5*(-49345)\/(-417))\/((-4)\/(4\/(-2))).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)*1 + sqrt(960) + sqrt(60)\/(1*sqrt(4)))\/(-4*(sqrt(5) - (sqrt(20)\/sqrt(4)*-6 - sqrt(5)))) + -2.\nAnswer: -2 - 17*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*i)*(15 + 27 - 27) + i - 2 + 2 + (2 - 2 + i)*(-3 + 0 + 5) + 4*i - 3*i + 3*i to the form t + z*i and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53420952 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30422 and 2296?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 2598 = -880. Let v = -84 + j. Calculate the remainder when 215 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/36 and 13\/2292?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 11748369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/40 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) -8\/5 (d) 3\/4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*-1*sqrt(272)*5 - (-3 + 4 + (sqrt(272) - (1 + sqrt(272) + sqrt(272)))))**2.\nAnswer: -164560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 23 = j, 4*c - 20 = -4*j + 6*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 2, 0.023?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1867 - -12019. Is 170 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-2 + 2*sqrt(1100) - sqrt(1100)) + -3))**2.\nAnswer: -1600*sqrt(11) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51389?\nAnswer: 13, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 - -305. Let s = 2 - 2.3. Suppose 2*x = -4*w + 2, -3*w + 7 = -2*x + 2. What is the nearest to s in w, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i. Suppose i = -4*x, 2*w - 5*w - 3 = 2*x. Let d be (-24)\/w + (-4)\/2. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:33 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 9:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179\/68 + -5267\/748. Find the common denominator of q and (-1058)\/(-120) - 8\/20.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 3. Let v = -23\/44 + 809\/1716. Sort -3, v, o in ascending order.\nAnswer: -3, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/2 - 705*h**2\/2 - 9360*h + 228150.\nAnswer: -5*(h - 15)*(h + 78)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954\/377 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(1*(-7)\/3*6\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28293250 times -0.1?\nAnswer: 2829325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17*g**2 - 485*g + 3. Give h(3).\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3931 = -1727. What are the prime factors of j?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**2 + 2*n - 34. Let a(f) = 7*f**2 + f - 17. Suppose -36*t = -19*t - 119. Let p(v) = t*a(v) - 3*h(v). Calculate p(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:59 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 360155986 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4338\/935 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174253846?\nAnswer: 2, 13, 163, 41117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 510079988 = -4*t, 3*t - 120786981 = -5*h + 516813028. What is h rounded to the nearest one million?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*u + 19*u + 16*u + (u - 3*u + 0*u)*(-2 + 1 + 2).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22443593 and 149611?\nAnswer: 1728156661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let l(t) = -25*t - 1. Let a(w) = -2*l(w) + 22*v(w). What is the tens digit of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 5*i - 12. Let d(f) = -8*f + 5*f**i + 3 + 0*f**2 - 8*f**2 + f**3. Calculate d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 + 147 = 20*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350 + -345. Solve -3*o = 2*o + s*a, 4*o = 2*a + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h - 19*h = -27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203716*p**5 + 43304*p**2 - 3 wrt p?\nAnswer: -12222960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307 and 61093.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-492 + -1)*(22 + -23) is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 - 1) + -1)*(-29 - -30). Which is bigger: s or 3\/346?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 4, f: 5}. Give prob of sequence ff.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-6 - -10) + 2 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-45))\/(14\/10 + -1). Suppose 116 = 14*z + 4. Let h = -7 - -6. Which is the third smallest value? (a) h (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/13 - 50002*m\/13 - 2003280\/13 = 0 for m.\nAnswer: -40, 25041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 47. Let k be t(-19). Let l(y) = 76*y. Let g(p) = 19*p. Calculate k*g(h) - 2*l(h).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24337, 24418, 24503, 24592, 24685?\nAnswer: 24782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g - 2. Let i be a(-2). What is the units digit of (24\/i)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123.99 + -122. Let n = -0.01 - x. Let b = -0.1 - -0.3. What is the third biggest value in n, -1, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543219383 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2 - 201*y + 16. Give d(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/8, -4\/9, -3\/2, 5.\nAnswer: -3\/2, -4\/9, -0.1, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 14 - 7 + 3 = g, 5*l + 11*g + 3 = 13*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 - 7*g**2 - 7*g + 1. Calculate the remainder when c(-3) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57254 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7304149?\nAnswer: 7304149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-13 - -7) - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1508628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48008 equal to -48006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + m + 2 = 0, -5*m + 6*m = -4*h + 13. Find the common denominator of (-1445)\/300 + h\/(-9) and -13\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5420*w**4 - 27702*w**2.\nAnswer: 130080*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-160)\/(-1244005)) + (-1)\/8. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 4*k. Let p be a(-2). Let b be p - -16 - 1*-7. Suppose b*t - 20 = -t - 4*c, 5*t + 3*c - 15 = 0. Solve -f + 4 = -t*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 4. Let z(c) = c + 1. Let g(t) = j(t) + 4*z(t). Let m(w) = 4*w**2. What is m(g(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.1, -2, 40556, 1\/105, 1\/3?\nAnswer: 40556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20f22e (base 16) in base 2?\nAnswer: -1000001111001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -23732454?\nAnswer: 1\/7910818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -320*a - 337*a - 282*a + (-1 + 2 - 3*a + 2*a)*(-1 + 0 + 2) + a - 4*a + a as u*a + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 35 = 7*k. Suppose -5*z + 194 = -q, -37 = -5*z - k*q + 133. Calculate the remainder when z is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/45 - h**5\/15 + h**4\/18 + 11*h. Solve d(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g\/(((g\/(g**4*g))\/g)\/g))\/(g**(2\/7)\/g)**(-6)*(g**0)**45\/(g*g**0)**24 assuming g is positive.\nAnswer: g**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by 6\nAnswer: 233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -0.3221 (c) 1\/3 (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3287059 centimeters to nanometers.\nAnswer: 3287059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4 - -2 - -1). Suppose i - 4*t = -8, j = -i - 0*t + 5*t - 11. Solve d + 1 = i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*m = 95, 4*m + 0 = -20. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + 0.04. Let d = q - -0.08. Let v = -0.04 + d. What is the closest to -1 in -0.4, -5, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 3. Suppose -5 = 3*r - 5*r + t, r - 4*t - 13 = 0. Let b(l) = -r - 5*l - 9 + 26. Calculate -6*b(q) - 33*i(q).\nAnswer: -3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:06 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37, 76, 121, 172?\n\"Answer: 3*d**2 + 30*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*l + 60 = 0, -712*c + 717*c = -3*l - 46 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(85) + sqrt(85))\/(sqrt(320)*-1) - (3 + 2*(sqrt(17) - (sqrt(2057)*2 + sqrt(2057))**2))) + -2.\nAnswer: -27*sqrt(17)\/8 + 37021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 15. Let k be l(0). Suppose 2*n + 13 = -3*o, -k = -2*n + 4*o + 7. Let f = 23 + n. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159856 + 792936 = 17*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -66, -73, -80, -87?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n - 2. Let t be y(-5). Suppose g - 17 = 2*p, g - 3*p - 8 = 2*g. Let q(h) = h - 9*h + 3 + g*h. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, h: 10}. What is prob of picking 1 o and 2 h?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*l - 4)*(4 - 2 + 0)*(113 - 126 + 4*l - 6*l).\nAnswer: 8*l**2 + 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 184.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1\/2*p**2 + 0*p + 3. Let u(y) be the second derivative of y**4\/6 - y. What is u(l(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2 + 2 - 567*i**3 + 4*i**2 + 551*i + 3*i**2 + 75*i - 2*i**2 wrt i.\nAnswer: -3402*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h - 92 + 4*h**2 + 41 + 0*h**2 + 43 + h**3. What is the smallest common multiple of x(-5) and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 1162 + 1114. Let l(w) = -2*w**3 + 5*w**2 + w + 10. Give l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 29*n**2 - 12*n - 27. Let w = 195 + -199. What is the tens digit of l(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from ffffbbfbfbfbbbff?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47\/((330\/1305)\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 4*w + 2. Let h be (-2 - (-3)\/2)*0. Let a(j) = -j + 11. Let i be a(8). Suppose -n + h*n = -i. Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and -1.234.\nAnswer: -62.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 0.1 (c) -41 (d) 1 (e) -520 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-35))\/(2\/(-7)). Suppose 0*l + 2*l = x. Let a = 2 + 24. Solve 0 = -s + 3*v + 1, 4*s = -l*v - 0 - a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, z: 5, l: 1, v: 4, p: 6}. Give prob of picking 2 v, 1 o, and 1 p.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -638 + 8290\/13. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = 25. Solve -r = -2*d + c, -d - d = 2*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*i - 68 = 0, -335682*g + 335683*g - 3*i + 1 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b + 2. Let q be h(0). Let a be q\/(-1 + 57\/55). Suppose -3*w - 2*w + a = 0. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 787702*c + 6293212?\nAnswer: 787702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + 3*s**5)*(1 - 3 + 1) + s**2 - 2*s**5 - s**2 + (-2*s**3 + s**3 - s**3)*(2*s**2 - s + s) - 2*s**5 + s**5 + 0*s**5 - s**5 + 2 - 2.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.2. Let a = 12929 - 64643\/5. What is the nearest to -0.1 in -5, a, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:30 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*v + 223, -2*v = -3*u + 406 + 296. Let t be 22*(39\/6)\/1 - 0. Let g = u - t. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -586*q - 3283. List the prime factors of y(-57).\nAnswer: 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.08?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1802544 (b) -5 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/60 and 16\/441?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 - (-5)\/(-70)*-18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -906326920 rounded to the nearest 100000?\nAnswer: -906300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {d: 6, o: 1, v: 2, r: 2, l: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - -10 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -130. Let r = -43 + d. Let y = -143.4 - r. Round y to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*j = -1 - 5, 2*j - 11 = -f. Let w(x) = 2*x - 4. Let z be w(f). Solve -4*v - z = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 545 or 540?\nAnswer: 545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 44 = 0. Suppose -10*w = -9 - r. Which is the third smallest value? (a) -12 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94758 and 22.\nAnswer: 1042338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 9:36 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 557*t - 560*t + 0 + 1 to the form k + f*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 2*k + 3. Let t be 12 - 0\/((-9)\/3). Let r be ((-2)\/3)\/(2\/t). Is i(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 14*a**2 + 2*a**3 - 4 - a**3. Determine i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081024 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739245 equal to 46956975\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 1, n: 2, i: 1, l: 1, o: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934069 is divided by 779.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 2*s**2. Is j(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3896*t = -55821 + 231141 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-12)*(-200)\/(-3) + 3. What is the third derivative of -3*n**2 - 90*n**3 + p*n**3 + 30*n**2 wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61633 (base 11) to base 15.\nAnswer: -1b9ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*i + 13 = -896*i - 5*w - 19, 276 = 142*i + w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1536 and 493932?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13*f**2 + 49*f - 53. Let z(q) = 3*q**2 - 12*q + 13. Let m(g) = -2*t(g) - 9*z(g). Let y be m(8). Put -3, y, -5 in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000000 (base 2) to base 11\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -213 - -1a8a0?\nAnswer: 1a688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -56. Solve 20 = -4*q, q - b = -3*r + 3*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1*(-2 + 3). Suppose 22 = 4*b - v*a, 4*b + b - 44 = -3*a. Suppose 3*y - i = 4*i + 30, -2*y - i = -b. What is the remainder when 6 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69318990 and 5499.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -22105, -5, -3 in decreasing order.\nAnswer: 3, -3, -4, -5, -22105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617 and 10461?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*1*112\/5. Let b be ((-416)\/p)\/((-2)\/14). Let x(q) = q**3 + 9*q**2 + 2*q + 8. Let k be x(-6). What is the greatest common divisor of b and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*v - 216, -4*v - v - 10 = 0. Let i = -361 - -550. Let u = o + i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1846970.76919 - -0.1.\nAnswer: -1846970.66919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -3. Let s = -2\/859 - 91873\/17180. Find the common denominator of (-32)\/66 - (-2)\/n and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22127972 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(42\/105) + (11 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 b, and 1 r when four letters picked without replacement from knkknkkbrknnnwnbr.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607094 is divided by 417?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:17 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 18*y = 7*y. Is 22\/19 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 608 and 4104?\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -57. Let d be 4\/((-28)\/(-7))*(x + -1). Let k be 1\/d - (-462)\/88. Solve 0 = 5*i - k*z - 15, -3*i + 5*z + 15 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 579*r - 615. Let q(z) = 121*z - 123. Determine 24*q(v) - 5*x(v).\nAnswer: 9*v + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 2*v**2 + v. Suppose 3*y = -3*c - 9, -8*c + 3*c = -3*y + 15. Let n be (-1 - 0 - y)*-1. What is b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(1377))**2 + 4 + sqrt(1377) + -1 + 2.\nAnswer: -27*sqrt(17) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1807 + 243883\nAnswer: 245690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 778*i**6 + 321*i**2?\nAnswer: 93360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 413152?\nAnswer: -5\/413152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -41*v**2 + 663*v - 104. Give g(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 9*i. Give w(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5209, 2\/21, 0.057?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*s - s. Let p(c) = -c**2 + 12*c - 11. Let i be p(s). Let v(k) = k**3 - k**2 + 9. Calculate v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**3 + 0 + 3*c - 5*c**2 + 9*c**3 - 1. Let a be v(4). Let u(p) = p - 1. Let w be u(a). Is w bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.2065kg in tonnes?\nAnswer: 0.1442065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*k + 2*w - w, -3*k + 11 = w. Suppose 4*p - 3*x + 238 = -k*x, 4*p + 242 = x. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000317 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 996722982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -42\/19, 1\/2, -0.2, -0.0712?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.4 and -20.193.\nAnswer: 533.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 129. Solve x*o + 3*g - 3 = 0, -3*o - 19 = -6*g + 4*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -7692.\nAnswer: -3076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000110 (base 2) in base 3?\nAnswer: 210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.229279 years?\nAnswer: 2.751348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.084 + -0.04688. Let y = f - 0.045. What is y rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2232 and 2814831?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -30130?\nAnswer: -30130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000166456 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + r + 2. Let b be y(2). Let f be -2 + 1 - -15 - (47 + -43). What is the highest common factor of f and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 31781 = -5*d - 33104 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 4*y**2 - 9 - y**3 in the form f*y**3 + l*y + k*y**2 + t and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = -42. Let u(z) = -6*z**2 + 114*z - 99. Let c(j) = -2*j**2 + 38*j - 35. Let f(i) = -8*c(i) + 3*u(i). List the prime factors of f(a).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14523?\nAnswer: 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 92\/9 in -1, 82, -29, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 + 57786*l**4 - 417373828*l**3 - 417489404*l**2 + 417373830*l + 417431618 = 0.\nAnswer: -1, 1, 14447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 11*l + 11. Does 11 divide i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*i*t**2*u**2 - 7*i*t*u**2 + 2*i*t*u + 25*i*t - 2*i*u + t**2 wrt u.\nAnswer: 164*i*t**2 - 14*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2399 + -3?\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-11 + 15 + -3)) + -9 - (-26 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 4*o - 1536. Suppose -3*b + o = -1339. Let x = -265 + b. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l = -141*l - 67*l + 1121 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 4*n**2 + 5. Let z(i) = i - 1. Let q be z(4). List the prime factors of b(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n. Let y(o) = 6157*o**2 + 0*o - 6174*o**2 + 2*o. What is x(y(z))?\nAnswer: 153*z**2 - 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2543671 (base 9) in base 15?\nAnswer: -1c5edd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 9*b + b - 5*b**2 + 4. Let n(v) = v**2 - v - 1. What is -c(s) - 4*n(s)?\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1391750 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**15*h)\/h*h)\/((((h\/((h*h*h*(h\/(h*h**1))\/h)\/h))\/h)\/h)\/h))\/(h\/h**(2\/15)*h*h*h*h*(h\/h**17)\/h*h*h) assuming h is positive.\nAnswer: h**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1287*c*h**2 - 3*c*h - 102*c + 990299*h**2 + 4 wrt c?\nAnswer: 1287*h**2 - 3*h - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -55, -171, -361, -637, -1011, -1495?\n\"Answer: -2*h**3 - 19*h**2 + 17*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 13 = -5*l - 2*f, -11 = -4*l - f. Suppose -l*j - i = -16, 4*j + i - 21 = 2. What is the remainder when 50 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 4*s. Let b(d) = -5*d**2 + 3*d. Let o be (-7)\/9 + 2\/(-9). Let i be (9 - o) + (-2 - -5). Suppose i = 2*g + 5. What is g*b(j) - 3*r(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)\/v)\/v**3*(v*v\/v**3)\/v*v**(-6) assuming v is positive.\nAnswer: v**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-v + 0 + 0) + 21*v + 11*v - 177*v.\nAnswer: -147*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 9)*((-2*w + 4*w + w)*(-4 + 1 + 4) + 4*w - 6*w + 3*w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*q - 54, 1 = 2*z - 1. Suppose t - q = -t. Suppose 5*y = t*y - 50. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 8:54 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6626487 - 6626577.00201. Let l = i + 90. Round l to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741544.052433 plus 0.1?\nAnswer: 741544.152433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133)\/266*(-2)\/(-11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let v = 2.3 + -3.2. Let n = j - v. Which is the smallest value? (a) n (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233 + -12?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = n + 2*g, n - 5*g + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3396*d - 1 + 2 - 1 - 1178*d)*(-1 + 3 - 1) as g + j*d and give j.\nAnswer: -4574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-4)))\/p**0*p*p**(-3)*p*(p\/(p*p**(2\/25)\/p*p))\/p*p*p assuming p is positive.\nAnswer: p**(-102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 108 = 3*s. Let k = -25 - s. Suppose 36 = -k*d + 6*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 166436879 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 22*n + 9. Let g(k) = 11*k**2 - 44*k + 20. Let p(o) = -5*c(o) + 2*g(o). Let w be p(7). Solve -w*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295493293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*t**3 + 29548*t**2 + 2*t + 483383912 wrt t.\nAnswer: -225*t**2 + 59096*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -66. Calculate the remainder when (0\/1 - -12) + -1 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 3*h + 3 = 6*r, 20 = 25*r - 12*r - 11*r + 9*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.48 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267214 is divided by 165?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqjqnngjgqnnnjgjnnn. Give prob of picking 2 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 9) to base 6\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118710, -474838, -1068384, -1899348, -2967730, -4273530, -5816748?\n\"Answer: -118709*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - (-42)\/56. Are 2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + (-132)\/9*26. Let p = -379 - y. Solve p*i + 2 - 8 = 5*f, -3*i = 5*f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/5 + 74\/15. What is the closest to 0 in -0.3, b, 0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00716682085 + 8\nAnswer: 7.99283317915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a + 2. Let w be u(3). Let z be w\/22 - (-168)\/(-44). Calculate the remainder when 2*z\/12*-15 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1560 = -5*n + 34*b - 39*b, 951 = 3*n - 2*b. Is 316 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1473 + -1?\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 11*n = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**2 + q**3 + (-2*q - 2*q**2 + 2*q)*(14 - 14 - 2*q) + (0*q**2 + 0*q**2 - 2*q**2)*(q - q - 2*q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1082*g + 25891. What is n(24)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14264.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 56*v + 85. Calculate t(21).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 1\/2 (c) -1\/9 (d) 237 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggkskksksg. Give prob of picking 1 s and 1 k.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2084, 2127, 2202, 2309?\nAnswer: 2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -579*c**2*l*m - 1370*c**2*m - 2*c*l*m + 2*c*m + l*m + 3*m wrt l?\nAnswer: -579*c**2*m - 2*c*m + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1460 in increasing order.\nAnswer: -1460, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + i = -3*i - 86, 34 = 2*k - 2*i. Let a be (-8504982)\/81 + (-4)\/k. Round a to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 525 = -0*y. Let m = -10166 + 10187. Calculate the smallest common multiple of y and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 202*b - 617*b + 174*b**2 + 207*b + 208*b. Let l(d) = -d**2 + d - 1. Let j(v) = 21*v**2 - 18*v + 18. Let g(x) = -j(x) - 18*l(x). Determine i(g(y)).\nAnswer: 1566*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = v + 142674, -2*v + 167273 + 546090 = 5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -198, -168, -134, -96, -54, -8?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 1. Let l = 22 + 0. Let a = 20 - l. Sort 3, a, z in descending order.\nAnswer: 3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -0.14. Let d = 387071 - 387057. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 3) to base 11.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 2. Let i be w(2). Let r(j) = -7*j + 3. Let a(x) = -8*x + 3. Let y(d) = 5*a(d) - 6*r(d). Calculate y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.03. Let s = 300 - 304. Let k = -1 + 1. Which is the nearest to k? (a) -3 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/4 - 870*s**3 + 378450*s**2 - 73167000*s + 5304607500 = 0?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587 - -312. Let j be w\/99 - 2\/9. Let b(t) = -54*t + 4. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314038 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*f**3\/7 - 10488*f**2\/7 - 14008*f\/7 - 4672\/7.\nAnswer: 2*(f - 584)*(3*f + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 2909*d**7\/70 + 5149*d**4\/12 - 474*d**2 - 3. Find the second derivative of f(r) wrt r.\nAnswer: 104724*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26202, 26593, 26988, 27387, 27790?\nAnswer: 28197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w. Let g(r) = 15*r**3 + 15*r**2 + 15*r. Determine -g(j) + 15*l(j).\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.273 (b) -0.03 (c) -9.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2.349?\nAnswer: 2.349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 7*h + 1. Let r(q) = -4*q**2 - 21*q - 2. Let f(p) = 7*n(p) + 2*r(p). Determine f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82824 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2636ns in milliseconds?\nAnswer: 0.0000672636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (240\/(-9))\/(-1 - 12\/(-9)). Suppose 3*x + 365 = 3*k - 8*k, 0 = 2*k - 3*x + 167. Let i = n - k. Let f(s) = -2*s - 6. Determine f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16864727 a multiple of 2101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 3*h. Let l(g) = 2*g**2 + 3*g. Let k(t) = 3*a(t) - 2*l(t). Suppose -3*c + 2*y = 15, -3*y + 4*y - 9 = 2*c. What are the prime factors of k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4915408 + -7.493.\nAnswer: 4915400.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*n - 1520 = -5*p, 4*n = 0. Is 2\/6 + p\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 399925, 799818, 1199711, 1599604, 1999497, 2399390?\n\"Answer: 399893*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f + 0*f - f + 0*f + 2*f + (1 - 1 + f)*(-3 + 0 + 1) + 2*f - 3*f - f - f + 3*f - 3*f)*(8*f + 6*f - 6*f)*(-f - 4 + 4).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -151 (b) 1.52 (c) 14 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**5 + 2*b**2 + 0*b**2 + 3*b**5 - 2*b**5 wrt b.\nAnswer: -840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734811?\nAnswer: 13, 133447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/30*10\/(-4). Suppose -u = -c*u + 48. Find the third derivative of 9*p - 2*p**2 - u*p**2 - 9*p + 13*p**3 wrt p.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 263890963.437.\nAnswer: -263890965.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1897906*r**2 - 19. Let m(q) = q**2. Determine f(m(b)).\nAnswer: -1897906*b**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*g + 8776 = 11824 + 12252 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55165 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + 290\/(-1 + 3)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Suppose g*a - 2*h - 2 + 13 = 0, -2*a = 4*h + 14. Let v = 10 + a. Calculate the greatest common factor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1523567962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 2*x**2 - 3*x - 3. Let s be l(-2). Suppose s*f = -113 + 32. Let y = f + 34. Calculate the least common multiple of 5 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1.85 (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -2*o - 2*o, 12 = 2*o + 4*v. Suppose o = 14*b - 11*b - 54. Calculate the greatest common divisor of 135 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 13) to base 14\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:55 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 5*m + 5*m in the form a*m + n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -80. Suppose 96052 = 4*a - 4*g - 9524, -4*a + 105583 = q*g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9842.61 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 19. Suppose s + 41 = 5*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172 + -117. Suppose 0 = -0*a - 5*a - s. Let w(u) = 8*u**2 + 6. Let g(k) = -15*k**2 - 11. Determine a*w(q) - 6*g(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000212348037 rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*l + y + 6, 5*l - 4*y = 2. Let f(v) = 6*v - 2. Determine f(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qboq when four letters picked without replacement from tqqqtoqqqtbd.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3010060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 259092876 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301625)\/19304 + (1 - 2\/2*-16)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 2*l - 3. Suppose 3*o - 3 = -4*t, 0 = t + o - 1. Suppose 3*d - 4*b + 6 = 0, 3*d + 4*b = -t*b + 18. What is the units digit of n(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 524491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-944)\/4*(-2321)\/44 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1344 divided by -192.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3012, -3160, -3308, -3456?\n\"Answer: -148*i - 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/11 (b) 4 (c) 2 (d) -6\/17 (e) -3 (f) -0.041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 661 + -650. Solve -13*x + o*x = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 4*x - 10*x**2 - 22 - 19\/6*x**3. Let k(y) be the first derivative of m(y). What is the first derivative of k(u) wrt u?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let r(v) = 3*v**2 - 2*v - 1. Let z be r(-1). Let h be (z\/27)\/(2\/(-3)). Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, k: 3, l: 4, q: 8}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(1\/3)\/s))\/(s**(2\/13)\/s))\/(s**(-6)\/(s*s\/(s*s**(-5)))) assuming s is positive.\nAnswer: s**(566\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 62238?\nAnswer: 622380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111100?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 + a60?\nAnswer: 9c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) - 154\/4. Let g = 119 - m. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260460365 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 6*f + 6. Suppose 30 = -5*t - 4*u, u - 12 = 2*t - 0*u. What is i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 126\/(-28)*4\/(-6). Which is the closest to 0.9? (a) 5 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + 3\/(-6)*22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 2028?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -292 * -0.092.\nAnswer: 26.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (429 + 351 - 308 + 598)*(3 - 3 + 3*k).\nAnswer: 3210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1 (c) 0.2 (d) 2 (e) -2130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-234)\/48))\/(4\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.658 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -33. Let m be (0 - 1)\/(6\/9 - l). Solve -3*u - 11 = -0*z - z, 2*z = -m*u - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 11:03 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 1 t when three letters picked without replacement from {u: 4, p: 2, t: 4, d: 5}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*s + 8 = 0, 4*g + 6 = g - 3*s. Suppose -4*a + 7 = 23. Let d be (a\/(-4))\/((-2)\/(-6)). Is d <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((8\/(-6))\/2). What is the first derivative of 2 + 2*t**3 - 11*t**n + 6*t**3 wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2 - 6. Let q(u) = 7*u**3 + u**2. Let a be q(z). Let h be (-2 + 86)*6\/a. What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (394 + 283*d - 1020 - 291*d)*(-d + 3*d + 6*d) + d**2 - d**2 + d**2 as t*d**2 + s + g*d and give t.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -6 - -2 - 2. Suppose -q*z = -2*z - 77. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 12. Let x be o(-5). Suppose 0 = -14*w + 4*w + 350. Let d = w + x. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121012 (base 3) to base 15.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 4*z)*(4 - 3 + 1) - 30*z + 176*z + 215*z as h + n*z and give n.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25652 and -15682749.\nAnswer: -15708401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59425703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1090 and 0.1.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = w - 4*w, 0 = 5*w - 2*k - 4. Suppose 4*t - 20 = w, t = 5*y - 0*y - 10. Differentiate -y*p**3 - 1 - 2*p**3 + 3*p**3 with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154456420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -12735.\nAnswer: 1400.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**1)**(-36)*q\/((q*q\/q**(-3))\/q)*q**(-1\/4))\/(q**(-2\/5)\/(q\/q**(1\/4)))**24 assuming q is positive.\nAnswer: q**(-2393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 143, 244, 395, 602, 871, 1208?\n\"Answer: o**3 + 16*o**2 + 2*o + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 123*a + 6575. Give v(-53).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*g + 30, 0 = 4*g + 5*c - 21 + 4. Let z be (-16 - -18)*(-1)\/g*13. Calculate the greatest common factor of 377 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -6) + 36 + -34?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2760.159 millennia?\nAnswer: 2760159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.5 - 53. Let z(t) = -t**2 + 8*t + 1. Let h be z(8). What is the closest to 0 in 0.3, h, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 4844 - 4844.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 3*v**2 + 10*v + 11. Let z be d(-6). Calculate the greatest common factor of z and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((-4)\/(-10)*450\/270).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390020.\nAnswer: 2, 5, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 18.4. Which is the closest to -0.1? (a) w (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/4 (c) 0.01 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4\/85 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/18 - (-2)\/(-4). Solve -t*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51484964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 7\/12, -41, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -316*s. Let h(j) = -887*j - 897*j + 2*j**2 + 0*j**2 + 1784*j. Determine k(h(g)).\nAnswer: -632*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 31, 74, 135, 214?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76967794.\nAnswer: 2, 271, 142007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -174?\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:53 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4493.\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53421029 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1613*l**3*y - 101*l**3 + 92*l**2*y + 72*l**2 - 5*l*y wrt l?\nAnswer: -9678*y - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111000101 (base 2) in base 6?\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 1, -46, -121, -230, -379, -574, -821?\n\"Answer: -k**3 - 5*k**2 - 3*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359358973*t - 359358974*t - 2 + 2.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.064 in -1.95, -2, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -337\/77?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 14*p, 3660 = -5*w - p. Let c = w + 1305. What are the prime factors of c?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -364*a**6\/15 - 317*a**2\/2 + a - 4. Differentiate c(j) wrt j.\nAnswer: -2912*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 1. Let s be c(-1). Let q(f) = -2*f - 7*f - 1 + 11 + 3*f**2 + s. Is 8 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 338143?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-11 + 2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1105 + 152814?\nAnswer: 154020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - g. Let a be o(1). Suppose 3*y - 124 = -a*z + 8*z, 5*y - 5*z - 190 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-2)*(-243441)\/(-198) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 1144 = -1336 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515514*v + 515544*v - 1031062*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 7*u = 8*u + 35, -2*u - 30 = 3*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409034658 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 11 - -4) + (2 + 7 - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178908761.\nAnswer: 53, 199, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75, 70, 69, 72, 79?\n\"Answer: 2*v**2 - 11*v + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 3*p + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3007651\/119 - -25274. Is 1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -282*(2\/(-1) - 11\/22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2. Let h be (3\/6 - 1)*-4. Let i(y) be the first derivative of -1\/3*y**3 + 0*y**2 + 3*y - 17. What is h*i(n) + 3*v(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51377 and 10292.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331281116 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c\/(c**2*c))\/(c*c**(1\/4)*c)**(-48))**(3\/11) assuming c is positive.\nAnswer: c**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/3*m**2 - 10\/9*m - 2\/9*m**3.\nAnswer: -2*m*(m + 1)*(m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 27*b - 24*b - 5*g, 4*b + 4*g + 36 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2970579 is divided by 1056.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 48*h - 31. Let l(p) = -142*p + 88. Calculate -17*c(q) - 6*l(q).\nAnswer: 36*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 + 12*u + 3*u - 2*u**2 - 2 - u**3. Let d be m(7). Solve -d*s = -6*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12945.9 times -0.274?\nAnswer: -3547.1766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 2*s**2 + 5*s + 8. Determine z(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1785453*f - 3570902*f + 1785463*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, 0, -5, 0.4, 997?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -30. Suppose -5*b - 5 = 3*r - 0*r, m*r = 3*b - 21. Factor 22 - 4*i**b + 16 - 34.\nAnswer: -4*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530703063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*v + 16, 10*v - 35 = -4*w - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**2*i)*i*i*i**4)**(16\/11))**(1\/4) assuming i is positive.\nAnswer: i**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63507 take away 0?\nAnswer: 63507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:38 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 137. Suppose k - 147 = -d*k + 3*f, -k + 162 = 2*f. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84244ml in litres?\nAnswer: 0.00084244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114151 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7*t - 3. Let q(s) = s**2 - 8*s + 2. Let a(k) = 2*p(k) + 3*q(k). Let x be a(8). Let h be 4\/x + 5\/4. Do h and -2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 7 + 0*l**2 + 7*l + l**2 - 2*l. Let s be f(-4). Calculate the remainder when 1*s - (6 + -38) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32504.1 and -2.\nAnswer: -65008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -127*k**4\/3 + 337*k**3\/6 + 3*k**2 + 2828*k. Find the second derivative of l(f) wrt f.\nAnswer: -1016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 14*b + 30. Let n be c(11). Let v be (10\/4)\/(n\/(-102)). Let h(i) = -7*i**2 + v*i**2 + 15*i**2 - i**2. Let a(z) = -z. Calculate a(h(s)).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1068293944.47257 + 1068298670. Let c = 4599.528 - v. Let b = -126 - c. What is b rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 16*c**2 - 15*c + 5. Let q be r(15). Suppose -4 = q*v - 54. Calculate the least common multiple of 12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30738, 1, 564 in decreasing order.\nAnswer: 564, 1, -30738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -1\/60*t**6 + 14*t**2 + 2\/3*t**3 - 1\/6*t**5 + 0*t + 1\/35*t**7 + 1\/12*t**4 + 0. What is m in r(m) = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968544211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 4*v)*(-22*v**2 + 33*v**2 - 10*v**2) to the form r*v + j*v**3 + q + w*v**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 6 + 0 + -3. List the prime factors of 1\/r*(2 + 18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12.9. Let n = 8 + -3. What is the second smallest value in -0.4, n, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.51743 and 1244.88339.\nAnswer: 1244.36596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 27 = -5*r, -5*h - 15 = -2*h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (448 - 3)\/((-1)\/(-2)). Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 52. Let y = -3 + 101. Let x = y - b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k + 83*k + 10*k + 49*k.\nAnswer: 162*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 58*l + 3. Let j be x(12). Suppose -9*g = -507 - j. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52.77202kg?\nAnswer: 52772020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 0.4. Let q = 45 + -30. Let o = q + -14. What is the second biggest value in o, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c - 172*c + 92*c.\nAnswer: 31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*q - 15, -3*f + 3*q + 8 + 7 = 0. Suppose 5*b - 19*b + 3234 = f. What are the prime factors of b?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 520 + -511. List the prime factors of (-270395)\/(-369) + 2\/u.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.9621153 to two decimal places.\nAnswer: -16.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 5*a - 159. Let q(s) = 2*s**2 - 4*s - 161. Give 5*q(d) - 4*t(d).\nAnswer: -2*d**2 - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 9*r**2 + 9*r + 12. Let w be u(-8). Let z(k) = k - 2. Let s be z(2). Suppose s = a + 2*a - 9. Solve w*j - 33 = 5*x - 10, 6 = a*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 3:49 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiia when four letters picked without replacement from {i: 4, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = 4*g, 2 = 2*g - 2*x - 18. Calculate the highest common factor of 35 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1561 divide 38294130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 22, 42, 68, 100, 138, 182?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22*l - 1. Let r be f(-5). Suppose r - 31 = -3*n. Let o = n - -29. Solve -4*u + o*d - 11 = -0*d, 3*u + 4 = -2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*i + 38*i = 404. Which is the fourth biggest value? (a) 2\/11 (b) -1\/8 (c) 3\/14 (d) i (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*u - 1310 = -8*u, 2*u = -w + 1302. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vooa when four letters picked without replacement from {o: 2, i: 1, v: 1, a: 2, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 - 61*h - 15. Let b be q(11). Let g(j) = j**3 - 40*j**2 + j + 14. Is g(b) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 7*w**3 + 21*w + 10 + 0*w**2 - 9\/4*w**4. Let y(m) = -m**3 + 2*m**2 + 2. What is -2*c(d) + 21*y(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + (3*-2*sqrt(1573) - sqrt(1573)) - 1*((sqrt(13) + -1 + sqrt(13))*5 + sqrt(13)))*-6)**2.\nAnswer: -27720*sqrt(13) + 2775672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1082)\/4)\/(120\/(-240)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1277, -13737, -5, 3\/7, 1, -1\/8 in decreasing order.\nAnswer: 1277, 1, 3\/7, -1\/8, -5, -13737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*i**2*k*q**2 + 37*i*k - 55*i*q**2 - 2367*k*q**2 - k - 6*q**2 - 2*q wrt i.\nAnswer: -30*i*k*q**2 + 37*k - 55*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2\/2 - 28865*n + 635635\/2 = 0. Calculate n.\nAnswer: -11557, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 11*k**2 + 5*k**2 + 5*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5214 = 32*l - 31902. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111557 rounded to 5 dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/22 - 2*w**3\/11 - 6*w**2\/11 + 16*w\/11 + 104. Find d such that v(d) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t*x*y**3 - t*x*y**2 - 7821*t*y**3 + 233*x*y**3 - 7*x*y**2 + 2*x + 2*y wrt t.\nAnswer: -x*y**3 - x*y**2 - 7821*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 + 3334*h - 2778889 = 0?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.272 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebeebbbbeeb. Give prob of picking 2 b.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -1206a9?\nAnswer: 1206aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - 378*p + 392. Determine v(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 26*l**2 + 3 + 31*l + 91*l**2 - 67*l**2. Give m(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.135, -2\/29, -1\/3, -145?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(104\/14)*396\/4389*19\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (186 - 39270\/210) + (22 + 1)*1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452792 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-166)\/664 + 33065\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111852 divided by -117.\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-239)\/219402*102 - ((-62)\/(-3))\/((-24)\/28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + v**2 + v**2)*(-2*v + 1 - 1) + 0*v**2 - 2*v**3 + 0*v**2 + v**2 + 4*v**3 - v**2 - 6835*v + 6835*v + 1 - 31*v**3.\nAnswer: -25*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 542412 and 1404.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 1189*r**8\/56 - r**5\/12 - 5*r**4\/24 - 11*r**3\/6 - 774*r**2. What is the third derivative of i(q) wrt q?\nAnswer: 428040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -4 (c) -1 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/42 - 2*n**4\/3 + 4*n. Find the third derivative of d(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518748833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j - 30*j = 88514 + 197576. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 at most 31949\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/((-12)\/(-64)). Let q = m - -11. Sort 1, q, -4.\nAnswer: -4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilpipilipplip. What is prob of picking 1 l and 1 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 2*j**3 - 5*j**3 + (-1 + 1 - 8)*(-j**3 + 15 + 5*j - 6*j + 0*j) as z*j**2 + l*j**3 + f*j + p and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 5 (c) 231 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 3170.55.\nAnswer: 3171.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**3\/q))*q**4)**(-20) assuming q is positive.\nAnswer: q**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 4*t - 7. Let m = -1 + 0. Let g(r) = -r + 1. Suppose 12*l - 419 = -491. Determine l*g(o) + m*a(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 5. Let g(o) = 2. Let t(n) = -2*g(n) - 2*v(n). Let a(k) = -k + 7. Let x be a(11). Calculate t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5\/7 + 60*p**4\/7 + 264*p**3\/7 + 472*p**2\/7 + 372*p\/7 + 108\/7 = 0.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 24, -313, 8 in descending order.\nAnswer: 24, 12, 8, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 2*h + 1162 + 2*h**2 + 3*h.\nAnswer: 2*h**2 + 1162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 - -966. Suppose 3*q + 1413 = k + k, k + q - j = 0. Let h = k + -3537\/5. Calculate the common denominator of 13\/9 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, -3.2, 0, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 15*w**2 - 40*w - 15. What is a(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-192)\/2016 - (-1 + (-4)\/(-7)). Which is the nearest to 1\/3? (a) 0.09 (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e (base 16) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 355266*y + 1776352. Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19437 + 4*x**3 - 19437.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/42 - ((-12)\/(108\/63) + 4). Factor 9 - 9\/2*c - g*c**3 - 4*c**2.\nAnswer: -(c - 1)*(c + 3)*(c + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 36*b + 1874. Let c be x(-52). What is the second biggest value in 0, 4.45, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 2*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 7}. What is prob of sequence ll?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + p - 25, p + p = 4*z - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-106972)\/(-6) + 160\/(-96) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72 + -84)*2*(-2)\/12. Suppose 15 = 5*q - 95. Solve -o*s - 1 = -3*y, 0*s - q = 2*y + 3*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-12))\/(3\/(-36)). Suppose 4*g - 6*g = 5*v - 48, -4*g - w = 0. Solve 0*r + 20 = v*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14308?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18894710795901 + 0.3.\nAnswer: -18894710795900.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -77, -151, -265, -431, -661, -967, -1361?\n\"Answer: -2*g**3 - 8*g**2 - 36*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 28171.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.028298 take away 2122890?\nAnswer: -2122891.028298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2136488470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*r + 122*r**3 - 1340*r.\nAnswer: 122*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26896*f**3*q - f**2*q - 6*f**2 - 3*f*q + 14*q wrt f?\nAnswer: 161376*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*h - 4 + 15, -2*p - 11 = -h. Let o be 0 - 0*p\/8. Suppose 3*l - x - 17 = o, -4*x + 23 = 4*l - 5. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 55. Let k = l + -31. Which is the third smallest value? (a) -5\/3 (b) k (c) -1 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 8*v - 6. What is the lowest common multiple of 18 and o(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -1\/17 (b) -3 (c) -88\/279 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15459*k + 46328. Give i(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10236890, 10236891, 10236892, 10236893, 10236894?\n\"Answer: r + 10236889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 114 - 11141*o - 1961*o - 58 to z*o + s and give z.\nAnswer: -13102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -963*f + 969. Let y be n(1). Solve -13*l + 21 = -y*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(2\/5)*o*o*o)\/o))**(-50)*o**0\/((o\/o**1)\/o))**(19\/3) assuming o is positive.\nAnswer: o**(1349\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 7*f + 24. Calculate the remainder when 60 is divided by w(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.81 + -15. Let g = -0.190001 - f. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4)\/((-15)\/(-20)). Let p be (-3)\/(-30)*(-2694)\/(-285). Let l = -21\/25 + p. Which is the second smallest value? (a) 0 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 19*o**2 + 12*o**2 - 3*o**2 - 2*o + 7*o**2 + 3*o**3 - o**4 - 5*o**3 to the form z*o**2 + k*o**3 + j*o**4 + t + x*o and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = -10. Suppose 0 = 5*i - b - 8. Let 4\/9*r**i + 0*r + 0 - 2\/9*r**3 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 389 in -11, 0, -4, -1, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 + 80 + 79 + 330*g + 53.\nAnswer: 330*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t**3 + 10*t - 2*t**2 - 5*t**2 - 30*t**3 + 20. Let q be n(-8). Suppose d + u + 3 = 0, 0 = 5*d - q*u - 16 - 14. Solve d = m - 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3) + 0 + 3*(sqrt(3) + sqrt(3) + 0))*-6)**2.\nAnswer: 1008*sqrt(3) + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -64*g**3 + 105*g**2 - 36*g + 13. Let x(z) = -32*z**3 + 52*z**2 - 18*z + 6. Let i(l) = 4*h(l) - 9*x(l). Let i(p) = 0. Calculate p.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/180600 and 83\/8813280.\nAnswer: 44066400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -238199 divided by -13\nAnswer: 18323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/30 - (-2)\/15. Let t(m) = -2*m**2 - 3*m + 3*m**2 - 3 + m + a*m**2. Let d be (5*-2*-1)\/2. Give t(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100\/69 - 323\/207. Put -2\/9, 0.4, f, -1 in ascending order.\nAnswer: -1, -2\/9, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 63712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/84 - 9\/108.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-2)\/(-1)))\/((-2)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/4)*i)**(-7\/5)\/(i**9)**(4\/3) assuming i is positive.\nAnswer: i**(-331\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3366770, -6733546, -10100320, -13467092?\n\"Answer: z**2 - 3366779*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174959 or 175001?\nAnswer: 175001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = -2*q, 5*q = 7*a - 6*a + 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 56, 0.9, 0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -2*y**2 - 3. Suppose 0 = 4*q - 5 - 3. Let m(u) = u - u - u**q. Give m(w(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p - 3*p)*(p**4 - 14*p**4 + 6*p**4) - 166*p**2 + 166*p**2 - 93*p**5.\nAnswer: -79*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 81\/(-12))\/((-6)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32574921 take away -158778?\nAnswer: -32416143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 265248 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 16*f + 5268. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1327.\nAnswer: 3\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 8*x**2 + 9*x + 6. List the prime factors of c(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 - 127. Let s = 102 - d. Let n(r) = 4*r**2 + 4*r**s + 2 - 4*r - 3*r**3 + 0*r**3 + 0*r**3. Calculate n(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*h + 4*p, 28*h + 3*p = 24*h - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 5*g. Which is the nearest to g? (a) 2\/5 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3115, 3207, 3359, 3571, 3843?\n\"Answer: 30*g**2 + 2*g + 3083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*x = 5*x - 124, -5*q + 145 = 5*x. Let y = 33 - q. What is the remainder when 37 is divided by (-5)\/((-3)\/12 - y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n + 5. Let i(o) = 16*o + 11. Let f(x) = -7*d(x) + 4*i(x). What is the first derivative of f(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let r(x) = -4269*x. Calculate r(i(f)).\nAnswer: 8538*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -7*d**4\/4 - 417*d**3\/4 + 45*d**2 = 0.\nAnswer: -60, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -155. Let o be (n\/(-35))\/((-1)\/10). Let i(f) = 3*f + 9. Give i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Which is the nearest to m? (a) 0.5 (b) 0.02 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258519800 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -277. Let a(i) = 13*i + 30. Let p be a(6). Suppose -32*q + 38*q - p = 0. Calculate the highest common divisor of q and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vks when three letters picked without replacement from {x: 1, o: 2, s: 1, v: 1, i: 1, k: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/(x**(-1\/5)*x)))\/x*x)\/(x*x*x\/(x*x*x\/(x*x*x**10*x*x*x))))\/(x**(-10)*x**(-7\/2)\/x) assuming x is positive.\nAnswer: x**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*n*z**2 - 15*l*n + 2*l*z - n*z**2 - 5*n*z - 137*z**2 - 2*z wrt z.\nAnswer: 4*l*n - 2*n - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a. Let c(u) = 10*u + 212 - 212. Suppose -4*o = f + 4, -2*f + o = -2*o - 36. Determine f*d(y) + 5*c(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225432 and 187860?\nAnswer: 1127160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010101111 + -10101000101?\nAnswer: -100110111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 3*t**2 - 2*t + 3. Let k(g) = 4*g**3 - 6*g**2 - 5*g + 7. Let x(d) = -6*k(d) + 13*o(d). Let c(a) = 164*a + 658. Let f be c(-4). Give x(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 333?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1727\/2, -2\/15, 0.2, -2\/3, -1.\nAnswer: -1727\/2, -1, -2\/3, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.6784 in 2, 170, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7299573 by 2433191.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*j**2 + 11*j**2 - 35*j**3 + 45 - 8 + 12*j**2 wrt j?\nAnswer: -105*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Is -2\/11 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 17 - 16) + -18 - -11\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 34*o + 8. Determine c(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1 + 5 + 15068*x**2 - 15085*x**2 - 6. Let f(t) = t - 10. Give a(f(j)).\nAnswer: -17*j**2 + 340*j - 1700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 6. Determine n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/33)\/k)\/k)**11 assuming k is positive.\nAnswer: k**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + -82. Suppose -5*q - 325 - z = 0. Let d = q - -219. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*p + 1707, -3*p + i + 60 = -1637. Let y = -433 + p. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 274.56 in 2, 2\/9, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -46877*n**2 + 15*n + 8. Suppose -2*i = -3*l - 4*i + 32, l - 3*i = -4. Let c be v(l). What is c rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*p = -1082*p - 438 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqqkqkqkhqkkkkqq. What is prob of sequence qqqh?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 95 and -1.83.\nAnswer: 93.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431431 + 121123?\nAnswer: -310303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 + 5*y**3\/4 + y**2\/4 - 5*y\/4 = 0. Calculate y.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2564, 0.3, -0.5.\nAnswer: -2564, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5991, -23932, -53825, -95664, -149443, -215156?\nAnswer: -292797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33714.\nAnswer: 2, 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 334.572 millilitres?\nAnswer: 0.334572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -246bc3bc?\nAnswer: 246bc3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = r + 5*k, -r + 4*r - 5*k - 7 = 0. Let y(h) = 6*h**2 + 42*h - 8. Let s be y(-7). Sort s, 2, -2, r in increasing order.\nAnswer: s, -2, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -15768, -0.5, -0.2, -31, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5997919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 2*j + 781186 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 259*k + 4. Let y be w(-1). Let x = -92 - y. List the prime factors of x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1 and -30813568393.\nAnswer: -30813568391.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**18*o*o**(-18) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99656597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20815 is divided by 5201?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8911 and 38.\nAnswer: 17822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*s - 15 = -2*s, -2*l + 5*s + 22 = 0. Which is the closest to 2\/7? (a) l (b) -4\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.2. Let q be 27\/720*4 - (-2)\/20. What is the smallest value in 3\/8, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2 - (6450\/(-5))\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950532 divided by -237633?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a. Let k(t) = -t**2 - 4*t. Suppose -14 = 5*c - 19. Determine c*k(g) - 4*b(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p**3)*(-2 + 2 - p**2) + 25*p**4 - 26*p**5 - 25*p**4 + 4*p**5 - p**5 - p**5 + (-2*p + 0*p + 0*p)*(p - p - 2*p**4) - 3*p + p**5 + 3*p.\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, c: 2, o: 1, j: 1, a: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)\/((-6)\/(-9)). Solve -i*c - 10 = 5*d, 0 = 5*c - 3*d - d - 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6 + ((-45)\/(-6))\/3. Sort 8, 1, 4, a in decreasing order.\nAnswer: 8, 4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181 - 1204*r - 86*r - 4360 - 729*r - 1539*r wrt r.\nAnswer: -3558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2899 - 90 - 157)*(1 + 0 + 0)*(0 - 2*f + 4 - 2).\nAnswer: 6292*f - 6292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 4*q. Let y = 7 - 5. Solve q = -y*n + 4 + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10270.0629 + -10202.07. Let m = -68 + p. What is m rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/8)\/5*2. Let o be (-42)\/18*(-2 + h). Calculate the highest common factor of o and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p + 2. Let v be g(-4). What is the derivative of 0 - 4 + 2*y**2 - 12*y**v wrt y?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -1 + (-8 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2365 - -2362. Sort 4, -1\/54, c in descending order.\nAnswer: 4, -1\/54, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -9, -3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103122\/(-5729)*((-2)\/(-10))\/((-6)\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 180*s**2 - 80*s + 7206. Give w(90).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(627\/44)*(-6)\/8. Which is the nearest to v? (a) -1\/6 (b) -1\/10 (c) 0.178 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*w - 156 = 0. Suppose -2*o + 6*o - w = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -550*w**2 - 8452*w + 5617. Calculate k(-16).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/90)\/((-1)\/((-3)\/(-2))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -492, -1011, -1748, -2709?\nAnswer: -3900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and -53\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, -s + n + 16 = 24. Put 4, -103, s in increasing order.\nAnswer: -103, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2490 + -2499. Do z and -187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2091 * -7.3\nAnswer: -15264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633bb (base 15) to base 2.\nAnswer: 1001100110101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*-7 + 37. Let d(m) = -2*m - 21*m**2 + f*m - 6 - 39*m. Suppose 0 = p - 0*p - 11. Let o(k) = 4*k**2 + 2*k + 1. What is p*o(t) + 2*d(t)?\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56498.15 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 + 36 = -5*s, -2*s = 3*k + 29. Let u = k + 15. Suppose -3*h + u = -2*h. Solve -w + 4*w = h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211 and 4305244.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 486950, 1\/4, -2, 1 in descending order.\nAnswer: 486950, 1, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -2 (c) -229 (d) -49 (e) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -0.14.\nAnswer: -15.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*l**2 + 1100*l**2 - 544*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 1, v: 1, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 304774862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*f - 40, 5*f - 1 = -4*b - 21. Let r = b + 17. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -3 (c) 0.136 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7)*y*y**(5\/2)*y)\/((y\/((y\/(y\/(y\/(y*y**(1\/6)\/y))))\/y))\/(y\/(y**(-1)*y)*y)) assuming y is positive.\nAnswer: y**(139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 4, -2.35 in increasing order.\nAnswer: -2.35, -1\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(7\/3)))\/(y*y**(-2\/19)))**(-3\/10) assuming y is positive.\nAnswer: y**(92\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39441 is divided by 6543.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.0298 and 4.\nAnswer: 264.1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11350 is divided by 5293.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t**2 + 6*t. Let f be p(10). Let m = f - 98. Let q = 279 + m. Calculate the greatest common factor of q and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - (sqrt(456)*1)\/sqrt(8))\/(sqrt(6)\/sqrt(18)) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 34. Let h(b) = -3*b**3 + 3*b**2 - 3*b**2 - 2*b + 2*b**3 - 2*b**2 + 4. What is the remainder when h(-4) is divided by p(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b39b0 - -7?\nAnswer: -8b39a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 233c69 + -47?\nAnswer: 233c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5647 + 2821 + 2546)*(-192 - 5*n + 192).\nAnswer: 1400*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -1.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + 10*g**2 + 256*g - 21. Let o(y) = 3*y**3 + 4*y**2 + 129*y - 9. Give -3*h(q) + 7*o(q).\nAnswer: 6*q**3 - 2*q**2 + 135*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k - 15*k - 979441 = -2581759. What are the prime factors of k?\nAnswer: 2, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from uwswsssssuwa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + -2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2440)\/80 + 30)*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 13123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10066 divided by -2?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 2. Let p(y) = 10*y**2 - 18*y + 20. Let z(w) = 4*j(w) + p(w). Factor z(k).\nAnswer: 2*(k - 7)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3098775 kilograms to grams.\nAnswer: 309.8775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 12. Suppose -21*t - 23 = -5*t - 87. Calculate the lowest common multiple of t and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20.35*-9\nAnswer: 183.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-1*(-8)\/140)\/(4\/120).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.8 + -37. Is j less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323359.8 years in decades?\nAnswer: 32335.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 1\/13 (c) -2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10206 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110617 divided by 1?\nAnswer: -110617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3553138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6 - 10*p**2 + 17*p**2 - 8*p**2 - 3*p. Suppose -63 = -4*d - 23. Suppose 17 = -3*y - 2*c, 3*y - d = 4*y + 5*c. What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697334, -697337, -697348, -697373, -697418, -697489, -697592, -697733?\nAnswer: -697918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 + 9*s**2 - 12*s + 6. Let p(a) = 5*a**3 + 10*a**2 - 13*a + 6. Let l(c) = 5*p(c) - 6*y(c). What is the units digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-9)*6\/(-4). Let y(g) = -g + g - 3*g + f*g. Let w(n) = -2*n + 3*n - 2*n + 0*n. What is w(y(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = z - 2*j, 4 = -4*z + j. Let l be (11 - 1) + -4 + z. Suppose 10\/3*t - 2\/3*t**3 + 4\/3 - 2\/3*t**l + 2*t**2 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899 + 13*v - 918 + 1817.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2*t**3\/3 + 3*t**2\/2 - 2*t + 6. Give a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*u + 30 = 1, -3*c = u - 23. Let s = c + 3. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paft when four letters picked without replacement from sfpfftpmapat?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4611256 and 67\/88678.\nAnswer: 4611256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11980.6 + -11990. Sort 0.2, -5, 1, v in decreasing order.\nAnswer: 1, 0.2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2174.07655 - 2174. Round w to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 117 = -2*h, -4*v = -h - 2*v + 62. Suppose -a + 3*z - 12 + 7 = 0, h = 5*a + 2*z. Solve -a*w - 2 = -2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-108\nAnswer: 18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*q = -8*q + 52, 2*q + 4 = -p. Let x = -9 - p. Let k be (8\/(-3))\/((-1)\/x). Solve -4*b + k*b = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -129841.\nAnswer: 34\/129841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 65178250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80702 is divided by 1794.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2134)\/(-168) + (-3)\/(21\/2) and -29\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 * -3238463\nAnswer: 301177059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1091.474 to 0 dps.\nAnswer: -1091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6224890 and 23832436?\nAnswer: 834135260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/20*(-6560)\/(-68224)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-4)))\/b*b**(-2\/5))\/(b**(-1\/4))**15 assuming b is positive.\nAnswer: b**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-90))\/((-4)\/(-16)). Which is the third smallest value? (a) -35 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*b + 161 + 136*b + 123 - 295.\nAnswer: -b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-805)\/138 - -17) + -17)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(-5*d - d + 5*d) + (2 + 0 - 1)*(0 + 0 + d) as x + h*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36\/16453 in -0.2, -2, 3, -1, 52, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162018 + -162016. Let g = 2 + -1. Which is the nearest to g? (a) 2\/15 (b) 2\/13 (c) 7 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1522 and -8796.\nAnswer: -13387512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than -1296747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 656\/(-41)*(-14)\/16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-442*p + 2*p**3 + 3 + 240*p + 224*p)*(-14 + 14 + 9*p).\nAnswer: 18*p**4 + 198*p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 39. Suppose 1 = o - p. Solve 0 = o*k + 11 + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 13\/3. Is x smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 14 - 5. Suppose -5*u = -u + 4*f - 40, -4*u + f = -20. Is (118\/4)\/(g\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bbcdc0 - -3d?\nAnswer: -bbcd81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6848*o + 75317. Calculate v(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2313731413 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 921 - 717. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:00 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143633 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: Let j = 1010 + -1011. Let s(h) = -h - 1. Let l(a) = 2*a**2 - a + 4. Determine j*l(z) - 2*s(z).\nAnswer: -2*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1092 - -1094. Solve -g - 3 = 3*u, 5*u = x - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 + 2\/4. Let r(b) = -19*b + 17. Let t be r(2). Let g = -17 - t. Sort f, g, 3, -5 in ascending order.\nAnswer: -5, f, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1122 + 1123. Let a be (5\/2)\/((-1)\/2). Sort y, -2, 3, a.\nAnswer: a, -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 32*k**2 + 40*k - 2. Let l(c) = -65*c**2 - 92*c + 5. Determine 3*l(g) + 7*z(g).\nAnswer: 29*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/8)\/q*q)\/(q\/(q**9*q*q)) assuming q is positive.\nAnswer: q**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-95) + 4\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -5)\/(-10 - -9). Let g be 6*i\/(-9)*(4 - 2). What is the nearest to -1 in 8, g, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -41*z**2 - 1080*z + 4338. What is u(4)?\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 22*w - 8. Let r be f(-5). Let s be (-7)\/(7\/10) + 0. Let q be (-15)\/r*70\/s. What is the greatest common divisor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q. Let z be j(-1). Let s(t) = 2*t**3 + t**2 - 3*t - 2. Let x be s(-2). What is the units digit of (-68)\/z - x\/(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*s = 35, -2*y - 4*s + 6*s = -22. Solve -3*i - y - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241.39 + -1.\nAnswer: 240.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7975908*y**2 - 4944. Let o(s) = -11292*s**2 + 7. Calculate 7*a(q) + 4944*o(q).\nAnswer: 3708*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825357632 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 254527 <= 254525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 29706 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745379 is divided by 64?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 3.\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199, 708, 1475, 2434, 3519, 4664?\n\"Answer: -11*u**3 + 195*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = 5*x + 1, -4*k = -3*x - 11. Which is smaller: -413 or x?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41308311649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2136 divided by 12\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab21842 + -3?\nAnswer: 1ab2183b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*k - 5*o, 36 + 38 = 3*k - o. Suppose 0 = -30*d + k*d + 275. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:21 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2304) - (-1*sqrt(2304) - sqrt(2304))*5) + sqrt(2304))*-2)\/(5*(sqrt(8)*-1*-3 - (sqrt(200)*1 + sqrt(200)))).\nAnswer: 288*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (1*7 + (-14742)\/3591))*19. Factor 24\/7*g**2 + 0*g + 0 + n*g**4 + 32\/7*g**3 + 2\/7*g**5.\nAnswer: 2*g**2*(g + 2)**2*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -297*r + 2673. What is s(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 169 + -177 + 22 + (-4)\/(-2). Solve i = -7*n + 15*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 23. Let l(d) = -4 + 8 - 3 - c*d. Give l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, 44, 248, 666, 1370, 2432?\n\"Answer: 12*m**3 - m**2 - 19*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 977, 3872, 8687, 15428, 24101, 34712, 47267?\n\"Answer: i**3 + 954*i**2 + 26*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2))\/(-1 + -2). Suppose -3*q + 72 = -i*q. Let f = -5 + q. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2 - 32\/(-20)). Suppose x*c + 14 = 5*z - 26, 5*c = 20. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 24*x**2 + 93*x - 86. Let q be c(27). Put q, -2, 3, 4 in ascending order.\nAnswer: -2, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4*z - 2058*n**3*z + 2*n**2*z - 212*z wrt n.\nAnswer: 48*n*z - 12348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475511794?\nAnswer: 2, 17, 1439, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p + 8. Suppose -18 = -n - 2*n. Let q be h(n). Suppose -x = k - q, -3*k + 5*x = -0*k - 26. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:40 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -309?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 262521 - -14024?\nAnswer: 306545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n + 5. Let p(v) = 5*v + 2. Let u(b) = b + 1. Let f(t) = -t. Let j(y) = -4*f(y) + u(y). Let o(x) = 4*j(x) - 3*p(x). Determine 3*g(i) + 7*o(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4900156440 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {y: 3, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25020210 + -222?\nAnswer: -25020432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36ac41 (base 15) in base 6?\nAnswer: -132042054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/21)\/((-2)\/(-6)). Suppose 0 = 3*s + a + 3 - 10, 0 = 4*s + 4*a + 4. Let r = 18.37 - 21.37. What is the third biggest value in s, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5088748*a**2 + 4597903*a wrt a?\nAnswer: 10177496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**2 + 280*n + 56. Let d be i(-36). Solve -24*h - d = -67*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*q + 920 - 174, 5*q = -h + 932. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 70 + 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 835, -4, -2\/3, 2\/25 in decreasing order.\nAnswer: 835, 2\/25, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {s: 1, k: 5, a: 4, w: 3, t: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 313 = -w, 3*j - 2*w = 188 + 43. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2090 = 20*t. Let q be ((-8)\/t)\/((-48)\/120). Let k be 4\/(-1)*(-6)\/16. Which is the biggest value? (a) -6 (b) q (c) k (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111343171.9 to the nearest one million.\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-12)*(8*3\/(-27) + 0). Let t(l) be the second derivative of 1\/3*l**b + 0 - l + 0*l**2 - 1\/5*l**5 + 0*l**3 + 1\/30*l**6. Solve t(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 1\/8 (b) 5 (c) 0.4 (d) -393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iovs when four letters picked without replacement from sossossasvsavid?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 + 3)*(-8)\/30. Let r be (-9345)\/(-42) + (1 - (-10)\/n). Let w = -670\/3 + r. What is the smallest value in 4, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5.6. Let f = h + -0.2. Let p = 9.7 + -6.7. What is the smallest value in f, p, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkykiwppikwkykwwi. What is prob of sequence ik?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*s = -4, -i - 4*i + 24 = -2*s. What is the smallest common multiple of 3 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.14 and 4557.\nAnswer: 4556.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 0 + 4\/7*r**3 + 52\/7*r**2 - 20\/7*r**4 - 36\/7*r = 0?\nAnswer: -9\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/104*-2*(-53)\/530\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 9 + 1. Suppose b*n + x - 106 = 0, 5 = -2*n - 2*x + 49. Suppose -2*i - 37 = n. Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.125 - 0.125. Suppose 0 = -4*i - 20, v - 2*i = 11 - 2. Which is the nearest to v? (a) w (b) -0.6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -21*g + 61*g - 39*g. Sort g, -2, 2\/9 in decreasing order.\nAnswer: 2\/9, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 381167624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 6, d: 3, k: 3, l: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525, 2122, 4791, 8532?\nAnswer: 13345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:28 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqqqqqqqqqdqqqqqq. Give prob of picking 2 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12*b + 1336 = 17541. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 122.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11482, -11, -0.1369 in decreasing order.\nAnswer: -0.1369, -11, -11482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100 + -10111001011110?\nAnswer: -10110101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 148*q - 3475. What is v(23)?\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 13*a + 28. Let m(l) = -4*l - 9. Suppose -5*q + 2 + 3 = 0, -55 = 4*n + q. Let u(k) = n*m(k) - 4*i(k). What is the hundreds digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044625 by -305.\nAnswer: -3425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3*i*n**3 + 3292*d**3*i - 16*d**3*n**3 - 4*i*n + 12960*n**3 wrt i.\nAnswer: -d**3*n**3 + 3292*d**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-33)*(-42)\/(-4). Let m = c - -4. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1425 and 55?\nAnswer: 15675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456753 is divided by 1538.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/133570 and 23\/43320?\nAnswer: 1602840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:39 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4948171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2081, -4673, -7265, -9857?\nAnswer: -12449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205345 rounded to the nearest 1000?\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*(-5 + 4*(1 + sqrt(891))) + -2))**2 + 3.\nAnswer: -43200*sqrt(11) + 5703303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43)\/(-9) - 6\/(-27). Solve -4*y - 19 = 5*r, 3*r - 6*r = l*y + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/11 or -138146?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-7) - ((-3560)\/35 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -7, 5\/2, 22, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:03 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 42\/12 - 3\/(-2). Solve -4*p - j*t - 8 = t, 5*p = 5*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, -1\/59, 0.3, -7, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 - -107. Suppose v = -2*v + j*n + 62, 0 = -n + 2. What is the least common multiple of v and 170\/15 + (-2)\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*q = -340, 7 = 3*q + 19. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/3 - 3260*y**4\/3 - 1769854*y**3\/3 - 320040772*y**2\/3 + 589952*y + 106681344 = 0.\nAnswer: -574, -528, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 13. Let y be 1 + -3 - (4 + 3). Let s be m(y). Let t(b) = 2*b**3 + 14*b**2 + 15. Let f be t(-7). What is the highest common divisor of s and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/13 + 1778*m\/13 + 388776\/13 = 0.\nAnswer: -501, -388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 638\/37 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 187855?\nAnswer: -187855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 4*f**2 + 14*f**4 - f**3 + 5449 + f**4 - 5450 + 0*f**3 - f to the form h*f**2 + y*f**4 + g + m*f + l*f**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w + 2. Let c(k) = 5 + 13*k + 14*k - 10*k. Suppose 4*m + s = 13, -3*m + s = 2 - 3. Let n be 48\/(-8)*m\/3. Give n*c(r) + 11*g(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 10582320?\nAnswer: 10582320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5)\/(45\/36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25779, 32566, 43869, 59682, 79999, 104814, 134121, 167914?\nAnswer: 206187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**5 - 75329*m**4 - 10*m**2 + m + 8131 wrt m.\nAnswer: -180*m**2 - 1807896*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let n(c) = 5*c + 25. Determine -n(m) - 6*w(m).\nAnswer: m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from {t: 4, o: 14}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 - 5. Let i be w(-10). Is (-1 - i\/8) + (-1261939)\/(-328) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.621373673 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40578625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 594\/(-15)*20\/(-6). Suppose 2*u + 2*l + g = 0, -u + 4*l + 0 = 46. Let d = u - -86. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.01 (c) -25.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -805, -797, -773, -727, -653, -545?\n\"Answer: r**3 + 2*r**2 - 5*r - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2576 and 4144?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - b5c259?\nAnswer: -b5c253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, 2.3, -4, -0.02, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x + 1. Let i(d) = 4*d**3 + 2*d**2 - 141*d - 5. Give -6*f(a) - i(a).\nAnswer: 2*a**3 - 2*a**2 + 123*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 5*j - 4*j - 1 - 4*j**3)*(14*j + 15*j - 10*j).\nAnswer: -38*j**4 + 19*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35471006 to the power of 1\/2, to the nearest integer?\nAnswer: 5956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -46*n**2 - 3 + 48*n**2 + 3. Let x(y) = -35*y**2. Give x(b(l)).\nAnswer: -140*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 5*sqrt(684))**2 + sqrt(76) + (2*sqrt(76))**2 + sqrt(76) + (((sqrt(19)*4)**2 - sqrt(19))*4 - ((sqrt(38)\/sqrt(2))**2 + -4)).\nAnswer: 26129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.5 (b) -0.1 (c) -244 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 135. Which is the closest to 7? (a) x (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/1800 - f**6\/1200 - f**5\/150 - 8*f**4\/3 - 11*f. Let w(o) be the third derivative of m(o). Factor w(v).\nAnswer: (v - 1)*(7*v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 88. Is (96\/x)\/(1\/25) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85656 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2446*l - 14782. Give d(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 89846649?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Suppose 3648 = -0*b + 19*b. Let c(h) = 191*h**2 + 192*h**2 + b*h**2 - 568*h**2. What is -c(g) + 4*i(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1016549 - 557416081\nAnswer: -557416081.1016549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2*m**5\/5 + 22*m**2 - 710*m + 506. Differentiate a(x) wrt x.\nAnswer: 8*x**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738550217?\nAnswer: 3, 2713, 582203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/19)\/j**(-15) assuming j is positive.\nAnswer: j**(279\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-104 + 0 - -51)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/696 and 37\/48.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*c + 291, 5*c = 2*i - 4*i - 457. What are the prime factors of (-3)\/(-12) + c\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 758*c = 753*c - 5, 3*v = -3*c - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 10. Let b be x(-6). Suppose 40 = 4*m - 4*y, -3 = b*y - y. Solve -m = -a + 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 97 = 5*s, 5*r - 160 = -2*s + 114. Let d = r - 18. Suppose -3*c + 62 = 23. Calculate the remainder when d is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.19 times 194\nAnswer: -424.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8719 + 8991. What is the highest common divisor of 2397 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817455 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y + 61*y = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4806272 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 7 = 2*u, -6*u + 4*w = 16 + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:18 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 3 (c) 1.9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let m(a) = -a - 7. Determine -6*c(b) + m(b).\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 1755*t**3 - 15633*t**2 + 46737*t - 46656 = 0. What is t?\nAnswer: 3, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -3*j**4\/2 + j**3 - 107. Let f(l) = l**2. Let a(q) = -5*q**3 - 2*q**2. Let p(y) = -a(y) - 4*f(y). Determine 3*h(k) + 4*p(k).\nAnswer: 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r + 2*r + 84 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1.72.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 74130 = -5*z + 74157, 4*z - 21*v = -72 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 7*r - 4*r = 7*r - 34, i = -37*r + 412 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -1\/13 (b) -142 (c) 0.01 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 15) to base 7.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 17. Let v = -3 + 3. What is the remainder when (-19)\/((-2)\/4 - v) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 20449*k**4 - 11655644*k**3 + 1660807006*k**2 + 23229780*k + 81225 = 0.\nAnswer: -1\/143, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -33 (b) 0.2 (c) -2\/9 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/4782 and 21\/110783.\nAnswer: 664698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 2*q + 23 + 8*q - 6.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/3*100\/(-80))\/(44\/8)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:23 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -157, -289, -485, -751?\n\"Answer: -s**3 - 23*s**2 + 2*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10745, 10743, 10741?\n\"Answer: -2*o + 10747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*p + 15, -12 = 9*p - 7*p + 2*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1131026 - 1131026 - n**2 - 2*n + 2*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from yyyizzyiziyzytiizz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 5. What is the smallest common multiple of r(6) and 6 + 5 + 170\/(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*f**3 - 207*f**2 - 5*f**2 + 28*f**4 + 120*f**3 + 44*f**2 - 64*f.\nAnswer: 4*f*(f - 1)*(f + 8)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2620709 and 1215851?\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24650 - 24592. Calculate the remainder when q is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:33 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a - 9 = 82*a - 38*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561936 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = -g. Solve -5*k - 3*f + 2 + g = 0, -2 = -2*k + 5*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -436\nAnswer: -5\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42461 is divided by 12861?\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/75 and 149\/1080?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 11*t**2\/2 - 14*t + 26. Is 5 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2300325 to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641068 is divided by 1431.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1224 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/(-410)*49\/((-6615)\/60)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6)\/(z\/((z\/z**(5\/3))\/z)*z)*((z*z*z**(-1))\/z)**26 assuming z is positive.\nAnswer: z**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k + 7883 + 9133. Suppose 0 = 4*x - 119 - k. What is the remainder when x is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.92107 and -0.5?\nAnswer: 0.42107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 660600 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*j + 60, -3*j - 2 = -n - 53. Suppose -18*m = -j*m - 262. What are the prime factors of m?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 4*y - r, 4*y - 12 = r. Suppose 239*m = 241*m - y. Solve m*d + 2 = -2*o, d = -4*o - 9 + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 - 217*g**5\/30 - 1980*g**4 - 15552*g**3 + 866*g**2. Let a(t) = 0. Calculate t.\nAnswer: -216, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 1910*y**2 + 6606*y + 14220.\nAnswer: 2*(y - 474)*(y - 5)*(2*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 25 = 3*k, -193*g + 195*g - 6 = 2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 + (-3 - -6)\/(-3). Let h(f) = -f**3 + 5*f**2 + 7*f - 9. Let g be h(6). Let c = w + g. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stoqttoqoyqqooqyyy. What is prob of sequence qqy?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1189 + -217. Let n = u + -973. Let g be 2\/(-8)*-1*1. Sort 0.2, n, 2\/17, g in decreasing order.\nAnswer: g, 0.2, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -397*l - 179. Is y(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w + 37488 - 1162*w**4 - 274*w**4 - 37499 wrt w.\nAnswer: -17232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.00732 (b) -24\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -698007.69?\nAnswer: -698002.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/5)*s**7)\/(s\/s**(-2\/3))**(-1\/3))**25 assuming s is positive.\nAnswer: s**(1835\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r + 3. Let i be z(5). Suppose i*g + 20 = 4*g. Which is the closest to 0.1? (a) 4\/3 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246542 is divided by 572?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 11*m + 1. Let p(q) = -6*q**2 + 15*q + 1. Calculate the remainder when w(9) is divided by p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126.956 - 127. Let m = v + 0.004. Which is the second smallest value? (a) 0.9 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3226 - -4760. Calculate the remainder when n is divided by 171.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 6, -5*z - 2*l = 14 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -13 + (28 - 11) + (0 - 10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 v, and 1 u when four letters picked without replacement from avijuiju.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 7. Let g be (-2)\/4 + c\/(-2). Suppose -k + 0*b + 3*b = -6, -2*b + 13 = 5*k. Sort g, k, 5 in descending order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076424 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 79. Suppose 4*w = -0*w - 12. What are the prime factors of (-1)\/w*0 + n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-776)\/(-2716))\/(16\/(-14))*-76.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 286*i**3 - 2*i**2 - 246704*i + 462005971.\nAnswer: 858*i**2 - 4*i - 246704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v = 3*q - 12, q + 5*v = 24. Suppose 11*g = q*g + 24. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 + v**3 - 3 - 4*v - 2*v**3 + 1 - 11 - 15*v**2. Let s be z(-5). Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/16 (b) 3 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccgcgggcggcg. What is prob of sequence gc?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -141 - 45. Suppose 6*v - s + 2 = 0. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10849 * 0.5\nAnswer: 5424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 73. Let b be k(19). Put 7, 1, b in ascending order.\nAnswer: 1, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 + 107. What is the remainder when p is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -2. Let t = 440 - 440. Which is the closest to 2\/3? (a) -1\/7 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l - 22 - 9*l - 1 + 2*l**2. Let j be r(11). List the prime factors of 107 - 1 - (j + -4 + 7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 72.8 (c) 2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2988 + 3124. Which is the smallest value? (a) -0.3 (b) r (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2488985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 2*f**2 - 2*f**2. Let h(d) = -6*d. Give h(c(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {p: 2, n: 4, k: 3, i: 6, u: 1, t: 3}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*o*p + g*p**5 + 121506*g*p**2 - 18*g + o*p**3 + 2090*o + 3 wrt p?\nAnswer: 20*g*p**3 + 243012*g + 6*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -5 + 6 - -292.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**8\/6720 - c**5\/15 - c**4\/12 + 2*c. Let h(d) be the third derivative of g(d). Suppose 0*u = 5*u. Calculate h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/(12\/(-32)). Let g(h) = 16*h**3 + 4*h - 3. What is the tens digit of g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 539764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - -7 - -2) + (-3)\/(-1). Let i be (-3 - q)*95\/1. Calculate the highest common divisor of 76 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93204932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*u + 203*u - 912 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -149*h + 4. Let t(k) = -123669*k + 3322. Give 1661*d(n) - 2*t(n).\nAnswer: -151*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/(((-1320)\/(-45))\/22)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1982621*i**3 + 1058798.\nAnswer: -5947863*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195159 is divided by 287.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/17, -3\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.8. Let g be 3\/(-4)*2\/(-3). Let v = 0.1 + -0.2. Which is the second biggest value? (a) g (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 0, -3*v = -4*a + 22 - 6. Solve 1 = 2*k - 3*d - 9, 0 = 3*k + a*d + 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-33))\/((-608)\/(-88) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3399*j - 10 = -3404*j, -3*l + 4 = 2*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 + 2\/2. Suppose 3*x - 21 = 4*l, w = 5*x - l - 0*l - 52. Suppose 4*n = -10*n - 114 + 338. Calculate the least common multiple of n and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 32. What is the third derivative of -3*i**6 + 102*i**2 + 4*i**6 + 12*i**m - 88*i**2 wrt i?\nAnswer: 1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (912 - 331) + -565 - (2 + 1 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.00049 from -291.231274.\nAnswer: -291.231764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 17965?\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 8. Let h be w(-20). Let i = h + 291. Is 46 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 191140927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:30 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20169 and 852308325?\nAnswer: 6723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -14. Suppose 4*r + p = s - 3, -2*r - s = -4. Suppose -84 = -4*h + 4*v, -3*h - v + 65 + 2 = r. Calculate the greatest common factor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5774 - -299?\nAnswer: -5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.145 and 14.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 5*b - 127 = -31*h, 5*b - 160 = -5*h. Suppose 35 = 5*p - 140. Are p and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4246, 7739, 11214, 14665, 18086, 21471?\n\"Answer: -d**3 - 3*d**2 + 3509*d + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13111 + 13?\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -276, -3\/5, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1046948 and -145\/65957724?\nAnswer: 65957724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.33 times -0.07963?\nAnswer: -4.2466679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 394 = -2*h + 3*o, -h - 2*o + 233 = 0. What are the prime factors of h?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 12590*n + 12592 = 0 for n.\nAnswer: -1, 6296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-627)*(-171)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 46*r**2 + 244*r + 184. Calculate the remainder when 7054 is divided by c(-40).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/25 - 4\/25. Which is the second smallest value? (a) -8 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -31258904963?\nAnswer: -31258904963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is (-6014)\/(-155)*50\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 2. Let m(y) = -y**3 - 5*y**2 + 12*y - 3. What is the tens digit of m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -j + 1, 2*j - 39 = -5*j + 2*p. Calculate the greatest common factor of 365 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 17*i + 6. Let r be x(-8). Is -2179*(2 + -4 + 4)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 3715712?\nAnswer: 3715712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 4*r. Let o(u) be the first derivative of 23*u**4\/4 + 23*u**2\/2 - 950. Determine -34*h(k) - 6*o(k).\nAnswer: -2*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 1290\/7. Let o = 2 + -1.6. Which is the smallest value? (a) 0 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 44998110.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -73. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Sort 0, v, 1\/6 in decreasing order.\nAnswer: 1\/6, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 - 48*i**4 + 41*i**2 - 4*i wrt i?\nAnswer: 120*i**3 - 1152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from iqoipqbibbyii.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47882d (base 15) to base 13.\nAnswer: 929cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3. What are the prime factors of y + 9 - 0\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000129123 to 7 dps.\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**6)\/((i\/(i*((i**(1\/6)*i)\/i)\/i))\/i))\/(((i*i**(1\/5)*i*i*i)\/i)\/((i*i*i*i\/i**(-2\/13)*i)\/i))*((i*i\/(i*i**(2\/5)))**1)**43 assuming i is positive.\nAnswer: i**(8549\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-3)\/(-2))\/((-45)\/15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 562\/7 + -80. Let r = -49\/26 - -5\/13. Sort 1\/6, r, f.\nAnswer: r, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 - 3971836*z**4 + 11915496*z**3 - 11915492*z**2 + 3971830*z.\nAnswer: 2*z*(z - 1985915)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -514 + 515. List the prime factors of 618 - (1 + 5)*o\/(-2).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 488, -4, -3, -5 in decreasing order.\nAnswer: 488, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -417700947 * 0.1.\nAnswer: -41770094.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 14 + 67*c**2 + 5*c**2.\nAnswer: 72*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21)*((-2255)\/41)\/(-495))\/((-30)\/7).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/3))**3)**(-46)\/((p**1)**(3\/14)\/(p*p*p**(-6)*p\/(p**(-6)\/p))) assuming p is positive.\nAnswer: p**(-1235\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 divided by -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v. Let d(t) be the first derivative of t**5\/30 + 2*t**2 - 1. Let g(y) be the second derivative of d(y). What is m(g(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + r**2 - r**2)*(3 - r**2 - 3) + (r - 3*r + 0*r)*(-2*r**4 + 5*r**4 + 4*r**4).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12986233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42488 and 6328.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24564 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14081764199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let j = l - 5.1. Which is the biggest value? (a) j (b) 0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**5\/7 + 209124*h**4\/7 - 1171342*h**3\/7 + 197232*h**2 + 753048*h\/7 = 0. What is h?\nAnswer: -20918, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -376?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 549798, -3, -0.5, 0.4 in decreasing order.\nAnswer: 549798, 0.4, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - v - 3*v - 19, -3*i = -5*v - 20. Suppose -5*u = 2*n + 14, 0*u = -2*u + 2*n. Put -5, i, u in descending order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*4)\/(3*sqrt(36)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 331 + -178. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 - -596. Suppose 5*k - 63 = -23. Is p + 2\/(k\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-2\/15)\/g*g*g*g)\/g*g))\/g)**(-2)\/(g\/(g\/g**(-3\/5)))**(-6\/35) assuming g is positive.\nAnswer: g**(1906\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 + 1977368164*l + 5*l**3 - 1977368164*l.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdd when three letters picked without replacement from jjjjjjjjddj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/2 - (-2)\/(-4). Let j be 24\/(-6)*15\/12. Let r = j - x. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from llllglyjlyjyyylglly?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759423 is divided by 439801.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115867961 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -5)\/((-3)\/4). Suppose z = -y - 4*z - 16, -m = 2*y + 3*z. Let s(n) = 6*n + 15. What are the prime factors of s(y)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 5\/2 (c) -0.1 (d) 5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 7 - 27. Let o = -13 - w. Suppose -3*d - 77 = -4*z - 574, -d = o*z - 139. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 30*u + 341. Let d be i(-6). Let q = d + -152. Solve -q*l + 4*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -27*i**3 + i**2 - 4*i - 1. What is u(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -3234.1730731\nAnswer: 3233.3730731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 - 5*k**4 + 2*k**4 + 0*k**4 - k**4 + (-k**2 - 4*k + 4*k)*(2*k**2 + 3*k - 3*k) + 3 + 3*k**4 - 3 + k**4 + 1 - 1.\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/2040000 and -11\/500?\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgigg. What is prob of sequence ig?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-99)\/45)\/11)\/(((-297)\/(-30))\/(-11))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14704559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2976.859cm?\nAnswer: 29768590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 34*f = -27000. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*v**3 + 26*v**2 + 1741*v**3 + 1304*v**3.\nAnswer: 2688*v**3 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043695.\nAnswer: 5, 208739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2 + 2 - 11*n - 9 - 10*n**2 - 1 + n**3. Let l be h(11). Let o be 2\/l + (-142)\/(-10). Calculate the highest common divisor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -31*k**5\/5 - 2*k**3\/3 + 37*k**2\/2 + 35. Find the third derivative of v(j) wrt j.\nAnswer: -744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 11*q - 10*q = 20, 0 = 2*b - 3*q - 28 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38600 + 38394. What is the nearest to 2\/13 in -4\/7, n, -3\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + -55 + 57 - 38?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k)\/(k*k\/((k**(-15)\/k)\/k))*k**9\/k**(2\/13) assuming k is positive.\nAnswer: k**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.56482 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and 27\/158667292.\nAnswer: 158667292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcm when three letters picked without replacement from crpmikcpiicrircim.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3415, -4014, -5011, -6406?\n\"Answer: -199*x**2 - 2*x - 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -5*t - 7\/2*t**2 + 1\/4*t**4 + 5\/3*t**3 + 19. Determine v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/2 - 1081*y**2\/2 + 72575*y\/2 + 73657\/2 = 0.\nAnswer: -1, 73, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a year in months?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 391, 7 in decreasing order.\nAnswer: 391, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 10*d - 90, 4*d + 259*c = 254*c + 84 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 37*j - 2*j + 43*j + 5 + 10*j + 5*j.\nAnswer: 19*j - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3027 - 3017. Let d = 26 + -26. Solve c - 3*c + w = d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-49)\/36). Let y = w + -1000\/441. Suppose -5*m = 2*r + 29, 2*m = r - 0*r - 17. What is the common denominator of m and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkkxkkkkxkkkxkkkkkx. What is prob of picking 4 k?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 158?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011 + 1010?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210202 (base 5) to base 8.\nAnswer: 15417","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-1)\/(12\/4). Suppose -4*n + r*w = 10 + 56, 5*w = 3*n + 67. Let i be 18\/n + (-16)\/(-56) - 6. Do -7 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -8 + 7 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27525 is divided by 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*f + 8, -2 = -4*m + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1727*a**5 - 17*a**2 - 759*a. Let l(u) = 432*u**5 + 4*u**2 + 190*u. Let v(s) = 6*i(s) + 25*l(s). Find the third derivative of v(z) wrt z.\nAnswer: 26280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 23. Suppose 68 = -5*n - 22. Let j = n - -18. Solve j = -l + t - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 66*v**2 + 128*v - 37. What is x(64)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -63. Let z = -30 - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r**2 + 2*r)*(3 + 19 - 6)*(-5 + 0 + 4).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*-1*(((sqrt(432) + sqrt(432)*-1)**2 - sqrt(432)) + sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -1394, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.495 - 2.475. Are -5.2 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20727 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: Round -0.00057816 to five decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 2, w: 1, y: 7, u: 1, i: 3}. What is prob of picking 1 i and 1 n?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*x + 1188 = -15070 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 2*b**2 - 2*b + (3*b - 2*b - 2*b)*(-2 + 2 - 2*b) - 115*b**2 + 7114 - 7114 to the form h*b**2 + x + a*b and give h.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 171084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 50 + 8 = 0. Let g = -28 - d. Suppose 205 = 2*h + 3*h. Calculate the remainder when h is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-5)\/(-110)). Suppose -319 + 3003 = y*f. List the prime factors of f.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80374890849739.10100194 + -80374879147516.2. Let b = -11702223 + p. Let g = 0.099 + b. Round g to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = z - 15, -4921*z = -4920*z - 4*x + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7155)\/10)\/(-27)*2. Solve s*o - 20 = 63*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/52*((8 - 6) + -1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/9)\/(81\/(-12) + 7). What is the second biggest value in -5.3, 0.2, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-12) + (0 - ((-40)\/(-20) + 18\/(-3)))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 - 18228?\nAnswer: -181a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -20*i**2 - 38*i - 9. Suppose 0 = -u - 3*u + 8. Let h(v) = 1 + 2 - 13*v - 8*v**u - 6 + v**2. Let c(x) = 17*h(x) - 6*r(x). Give c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, p: 7}. What is prob of picking 1 j and 3 p?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -46*v**2 - 6*v - 7. Let l be b(6). Let q = -577 - l. What are the prime factors of q?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 438*b**2 - 22*b + 397*b**2 - 12*b - 788*b**2 in the form f + i*b + d*b**2 and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 3528163.\nAnswer: 38809793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {m: 1, s: 1, o: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1345065 by 23.\nAnswer: 1345065\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8 + 40. Let t be (-2)\/(-9) - 188\/36. Let o = t - q. Solve 0 = 4*l - 2*l + 5*r + 10, -3*l + 27 = -o*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0\/z)\/z*z)**(-47)\/(z**(-2\/5)*z)**(17\/4))**(-4\/13) assuming z is positive.\nAnswer: z**(-889\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2386843 is divided by 11816?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 21\/6)\/((1197\/(-56))\/57).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2811072*o**3 + 168612048*o**2 - 3136077*o + 14580.\nAnswer: 3*(o + 60)*(968*o - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-20))\/o**13)\/(o**(11\/5)*o*o\/(o**(-17)\/o)))**(-11\/9) assuming o is positive.\nAnswer: o**(781\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31205613 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 2*z**2 - 1. Let y(d) = 1. Let c(r) = r + 1. Let n(s) = -c(s) + y(s). Let u be n(1). Calculate t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t - 6. Let u be v(2). List the prime factors of 207 - ((-7)\/(-1) - u).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 46*z**3 - z**2 - z. Give m(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 2*t + 3. Is o(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62762, 62734, 62664, 62534, 62326, 62022, 61604, 61054?\nAnswer: 60354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 31*p\/2 + 5\/2.\nAnswer: (p - 5)*(6*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9801 by 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4672 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865093838 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36272955 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191156140 rounded to the nearest 1000000?\nAnswer: -1191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -57*u**3 - 9*u**2 - 37*u + 11. Let f(h) = 14*h**3 + 2*h**2 + 9*h - 3. Let q(z) = 2*b(z) + 9*f(z). Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7481346.\nAnswer: 2, 3, 1246891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20881 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 18. Let p = 2\/121 + -280\/2299. Which is the closest to s? (a) p (b) -1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 + 0.6. Suppose -4*k = 0, 3*f - 2*f + 4 = -3*k. What is the third biggest value in d, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -426*n + 1. Let z be f(-4). Let x = z + -3429. Let g = -13843\/8 - x. Find the common denominator of -57\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = 15*d - 1917472. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217\/30 - 37\/5. Suppose -24*p = -35 + 107. Which is the biggest value? (a) 5 (b) o (c) 8 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from kxiidxcixii.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/12 + 24*h**2. Let c(r) = -10*r. What is w(c(i))?\nAnswer: 500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -36.946. Let d = l - 0.067. Round d to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 939756.9 centuries?\nAnswer: 1127708280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02920947 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 + 170. Solve -5*p = 7*x - 2*x - 5, k*x - 3*p + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4600408 divided by -1150102?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*4 - (5 + -3). Let k be -6*(-7)\/((-21)\/j). What is the second biggest value in -0.4, 1, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1728, 3457, 5194, 6939, 8692?\nAnswer: 10453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = -2. Suppose y - 3 = -n. Let t(s) = 2 + s - y. Let b(v) = -4*v**2. What is b(t(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2962.0659 milliseconds to minutes.\nAnswer: 0.049367765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308485.689969 - -308486. Let x = 0.02 - -0.29. Let v = x - p. Round v to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8*u - 90 + 138 = 0. Put 3, -3, u, -4, -1 in descending order.\nAnswer: 3, -1, -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44039386 + -72739386. What is g rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 1078 = -828 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 3*n - 4. What is the tens digit of f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*q + i + 3980, 3*q - 2*i - 2401 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 7222 + 4394 = 0. Which is the nearest to -0.1? (a) 2 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from ioeqvic.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/9*h**2 - 64\/9 + 136\/3*h.\nAnswer: 4*(h + 8)*(13*h - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 25, -30 = -z + 3*o - 8*o. Let i = z - 4. Let f(q) = -q + 1. Let c(m) = -6*m + 3. Calculate i*c(s) - 5*f(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 a when three letters picked without replacement from hhoa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*p + 35 = 3*b, -b + 3*p = -21. Let q(j) = -j + 2*j - 3*j. Let m be q(-2). Solve -2*l - 3*a + b = 0, 4*a - 27 = -m*l - a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d - 2*v = -56*d + 710, 20 = 4*v. Let j = -9 - -13. Suppose 18 = -j*y + 82. Calculate the highest common divisor of d and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88426486 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24292 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -531027, -1062051, -1593077, -2124105, -2655135, -3186167, -3717201?\n\"Answer: -w**2 - 531021*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 189 = 28*t. Solve -23 = -3*d - 5*m, m = 3*d - 2 + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.27 - -10.57. Sort 1, -1\/2, m, -16, -0.02.\nAnswer: -16, -1\/2, -0.02, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:48 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 3. Are 0.4 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*a + 151*a + 4092 = 59*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1235700140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w + 482. Let s be f(20). Suppose 5*r - 7 = 3. Solve -b + r = -s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, 5, -1, 3, -67.\nAnswer: -67, -43, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477682957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, 48, 131, 238, 375, 548?\n\"Answer: u**3 + 3*u**2 + 49*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2783)\/230 + -7 + 19.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 116285634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-2\/43)))\/(v**33*v)*v\/(v\/(v**(-31)*v))*v**(-1\/6) assuming v is positive.\nAnswer: v**(-16567\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4000 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)*(-207)\/23 + -1 + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12418 or -360160\/29?\nAnswer: -12418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l**2 - 33477*l - 33481. Calculate d(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -298*x + 907. What is the tens digit of c(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 4951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16045 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -68210?\nAnswer: 68208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 11 - 2)*(15*s - 3*s - 2*s)*(13 + 10 - 18).\nAnswer: -650*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.279392g?\nAnswer: 279.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 26 + -32 - (-4 + 1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 7 - 10*x**3 + 0 - 7 + 12*x**2.\nAnswer: -6*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + -0.3. Let z = 168.89 + -166.89. Which is the nearest to y? (a) -0.5 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:52 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from ikxxrxkkakximarxxia.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5851878.\nAnswer: 2, 3, 975313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 1. Suppose 0 = 6*n - n - 30. Suppose 4*i - n = w*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64278 - 7?\nAnswer: -64282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncncqq. Give prob of sequence qn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 38*u**2 + 2*u + 31. Give i(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143101 (base 6) to base 8.\nAnswer: -32515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1828 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 54 - 1 - (-57 + (52 - 4))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 35 = -c - 3*g, -4*c - 2*g = 370. Let o = c - -172. Let a = -72 + o. What is the greatest common factor of 42 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - -2 - (2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 d when four letters picked without replacement from hhfafbdhhhf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 350*c. Let t be (75\/10)\/5 - (-151)\/2. Let b(x) = 27*x. What is t*b(h) - 6*l(h)?\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*c + 2 - 597*c + 36 - 8 in the form t*c + q and give t.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 17 = -5*f. Let s(t) = 5*t - 15. Suppose -70 = 3*v - 13*v. Let b be s(v). Solve -b = -4*i - 4*l, -3*i - i + l + f = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11041.4 and -0.03?\nAnswer: 331.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 + 208*g**2 - 32660*g - 66144 = 0.\nAnswer: -312, -2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t. Let x be p(3). Let j be (8\/(-6))\/(x\/(-9)). Which is the closest to 0? (a) j (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.8. Let j = u + -0.1. Let d be (-2 + 0)*(-6)\/(-12). Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9011 + 648805\/72. Calculate the common denominator of g and -48\/5.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.251 - -0.351. What is the closest to 2\/3 in x, 1.5, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by -82.\nAnswer: -175\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 11. Let x be o(5). Let h(w) = -8255*w + 5. Let u be h(x). Suppose -2*j + u = 13535. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18263449*r**3 + r + 1. Let l be d(-1). Let o = 12807392 + -43870841. Let q = o - l. What is q rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 25, -2 in descending order.\nAnswer: 25, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67\/252 - 1\/63. Let g(q) be the first derivative of 0*q + 1\/2*q**2 + 2 - r*q**4 + 0*q**3. Factor g(a).\nAnswer: -a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**2\/2 - j + 8. Suppose 5*f + 221 = -5*c + 3*c, 0 = 5*f + 5. Let n = c + 103. Give h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4465 + -4456. Solve u = 8*r - 4*r + 3*o, -5*o - 2 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let y = 173 + -169. Let z = -6 + y. Which is the nearest to 0? (a) z (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -19103.73\nAnswer: 5731.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjfkkajjkkjejjjja. Give prob of picking 1 f and 2 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 = 64*s - 119 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**3*y))**(1\/16))**16)**9)**(-47) assuming y is positive.\nAnswer: y**1269","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29089293, -58178583, -87267873, -116357163, -145446453?\n\"Answer: -29089290*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, -2\/5, 0.04, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.11 - 0.11. Which is the second biggest value? (a) w (b) -2\/17 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 199. Give b(4).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16798 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21024 in -6, -15, -1, -4, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-10) - 10\/25. Let m be (0 + 8)\/(q - -5). Suppose h + 2*u - 5 = 0, -u + 30 = m*h + 10. Calculate the greatest common divisor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 21*l - 2188*l**4 + 0*l - 11*l - 11*l**2 + 0*l**2 - 8*l wrt l.\nAnswer: -52512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 10*b - 69. Let k be a(-7). Suppose 34 = 14*c - k. Solve -z = 2*u + c, 3*z = 3*u - 7 - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1172841831*d**3 + 681858228 with respect to d.\nAnswer: 3518525493*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**4 + 162*w**3 - 2477*w**2 wrt w?\nAnswer: 96*w + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 88?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -3 (c) 0.07 (d) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2*a**3\/3 - 2600. Let r(x) = 4818*x**2 - 2. Determine r(z(m)).\nAnswer: 19272*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and 67\/256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a7 - 37975?\nAnswer: -3813c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 14. Suppose 6*r - 325 = -277. Calculate the smallest common multiple of o and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 34*a**3 - 19*a**2 + 67 - 20*a**2 - 16*a + 42*a**2. Find the second derivative of o(u) wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 4. Let g(v) = 2*v + 9. Suppose -p - 15 = 4*p. What is p*g(j) - 7*n(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*v + 15665 = 155*v - 219*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 4*n**3 - 4 + 1 + 3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01248817 + -0.012752. What is j rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 97*x**4\/3 + 92*x. Does 11 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let r(d) = d + 8. Let s(t) = -4*f(t) + 2*r(t). Calculate the remainder when s(14) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + sqrt(1700) + -4 - (sqrt(1700) + 0 + (sqrt(1700) + -1 - sqrt(1700)))) + -4)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -153, -160, -169?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from dddll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 - -537. Suppose -3*f + 685 = 5*k - 651, -8 = -4*f. Let v = m + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12*(2 - -48). Let r = w + 8. Suppose -5*o - l - 2*l = 1, 5 = -3*o - 4*l. Which is the closest to r? (a) -0.3 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 1\/5 (c) 2\/7 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.559961 micrometers in nanometers?\nAnswer: 559.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1717 and 29699?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 10*b - 9. Let m be r(-7). Let f = 6 - 1. Suppose 0 = z - 2, -z = -u - f*z + m. What is the lowest common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*p + 2116, -p + 3161 = -5*s - 357. Let u be (-668)\/s - (-6)\/33. Let l = -21\/16 + u. Sort 4, l, 0.4 in increasing order.\nAnswer: l, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 4 + sqrt(3) + 2 + 4 + (2*(sqrt(192) + (sqrt(192) + -1 - sqrt(192))))**2.\nAnswer: -62*sqrt(3) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4213 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:34 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 - 442 = -3*d. Let b be 93\/(594\/d - 3). What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**7\/2520 - g**6\/240 + g**5\/30 - 11*g**4\/12 - g**3\/6 - 9*g**2 + 1. Let h(z) be the second derivative of o(z). Give h(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37457 + -7590. Let w = -15736 + x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -177*r - 82. Let y be j(-2). Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4239 + -250.398\nAnswer: -250.8219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**4 - 991*q**3 + 568971*q**2 - 82880550*q + 82312875. Let s(b) = -b**4 - 35*b**3 + b**2. Let n(g) = k(g) + 9*s(g). Factor n(l).\nAnswer: (l - 435)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 0*y**2 - y**2 + (2 - 3*y**2 - 2)*(-32 + 40 + 38) - 1 - y**2 + 8 - 5.\nAnswer: -141*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 630717 = -2*x, -131*x - 1261469 = -135*x + 3*j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 363 + -297. What is the remainder when g is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:54 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.79131262 and -0.01.\nAnswer: 0.0279131262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -152*u + 1070. What is d(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3039\/2 - 1519. What is the nearest to -2 in 2\/9, 1\/5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 198, 443, 920, 1707, 2882?\nAnswer: 4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*m + 409*m + 496 = 0. What is the remainder when 857 is divided by m?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128612807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/69 and -38\/6065.\nAnswer: 418485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from xffffuxgfzffffxfgm?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*i - 46 = -f, 0 = -4*f - 5*i + 59. Suppose -c = -0*c - 2. Suppose c*q + 22 = 3*q. What is the greatest common divisor of f and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -64, -121, -210, -343, -532, -789, -1126?\n\"Answer: -2*i**3 + 2*i**2 - 29*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 0 - (-4 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + f + (1 - 1 + 3*f)*(1 + 2 - 5) + 2*f - 6*f + 2*f)*(3 - 91*f + 59*f - 6).\nAnswer: 288*f**2 + 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.3 (b) -0.7 (c) -0.4 (d) -163 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 2*p - 7. Let d be o(-3). Let j(g) = -4*g**2 + 7. Let r be j(d). Let v = r - -143. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.224 in 0, 1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 4*l + l)*(-4*l - 3*l + 5*l) + 2*l**2 - 2*l**2 + l**2 + 3*l + 39*l**2 - 827*l**2 - 141*l**2 - 653*l**2.\nAnswer: -1585*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*f + 0*f - 2 = 0, -18 = c + 4*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least as big as 2457\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 68 = 5*t - 45, -b + 2*t = -10. Let z be 1 - 1 - 6\/(-3). Suppose 5 = -x, -4*l - z*x = -4*x - 18. Solve -d + 16 = 5*a + l*d, -3*a - b*d = -14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 divided by 45.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p**2. Let j(l) = -2*l**2 + 17782*l - 2. Calculate j(x(h)).\nAnswer: -338*h**4 - 231166*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-2806)\/(-6))*(1 + -1351). Round f to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4364*z**3 + 2180*z**3 + 2181*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2341403 - 28130063\/12. Let i = -2773 - a. What is the common denominator of ((-107)\/30)\/((-2)\/(-3)) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -0.09, 11, 1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45165108?\nAnswer: 2, 3, 41, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-7 + (79 - 34))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -2. Let l be g\/16 + (-6)\/(-4). Solve -8 = l*w - 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 23*u + 12. Suppose 36*v - 27*v - 180 = 0. Let d be i(v). Let p be d\/(-15) + (-1)\/5. Are -19 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97790676 + 329.432\nAnswer: -97790346.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2 - 60622504*n + 459385998903752 = 0.\nAnswer: 15155626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose m - 16 = -4*i, -5*i - 7 = -2*i - a*m. Solve -n = -0*n - i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4575.0000001502 - -4575. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -306058\/7 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22409*p**2*z + p**2 + 2*p - 79 wrt z?\nAnswer: -22409*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 18 - (-18865)\/1029. Suppose 2*p = 3*p + 8. Let v = p + 3. What is the nearest to -0.3 in x, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83927 and 1565380.\nAnswer: 139318820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 24*s**2 - 37*s + 142. Give z(-22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5763940.\nAnswer: 2, 5, 7, 13, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 327*r - 7077. Is m(97) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(sqrt(117) - sqrt(117)*-3 - sqrt(117)))\/(sqrt(324) + (-4*sqrt(324) - sqrt(324))) + -1 + -3.\nAnswer: -9 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254234322 is divided by 571.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(-1)*(-3)\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 1728 = 1768 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.1 - 14.2. Let z = -0.9 + o. Let n = 8.7 + z. Put -2, n, -5 in descending order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 0.98. Let x = -0.2 - -2.2. Put k, 0, x in decreasing order.\nAnswer: x, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010606877 to five decimal places.\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/96 and 61\/552.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-4)\/8)\/(0 - -1). Let s(o) = 5*o**2 - o - 1. Calculate s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i - 1. Let c(l) = -31*l + 5. Let y(j) = 3*c(j) + 15*s(j). Let d(k) = k**2 + 206*k. What is y(d(h))?\nAnswer: -3*h**2 - 618*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101959 is divided by 495.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 6*f**2 + 180 - 3*f**2 - 95.\nAnswer: 3*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113, -361, -781, -1373, -2137, -3073?\n\"Answer: -86*o**2 + 10*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**2 + 7*u + 3. Suppose 0*g = 2*g + 12. Is y(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 334 + -180. Suppose 5*x - i = -2*x. Suppose 5*b - 68 + 8 = 0. Calculate the remainder when x is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Let x be (j\/(-5))\/((-18)\/(-60)). List the prime factors of 31 - (x - -3 - 2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -655 - -5?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 3*u - 6. Let v be f(7). Let n be -1 - 1 - 260\/v. Let o(p) = p. Let g be o(0). Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 (base 6) in base 4?\nAnswer: 12033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-20))**23*((v**(2\/3))**17)**(2\/27) assuming v is positive.\nAnswer: v**(68\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30493554857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwtcwwcthtttttttctt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + (sqrt(117) - -1*sqrt(117)) + 4 + -6*(-1 + sqrt(117))*-3)*3 + 2)**2.\nAnswer: -19080*sqrt(13) + 424009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 219 or -385276?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10.4 (b) -0.4 (c) 15 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 243306713 and 15.\nAnswer: 243306728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 - 208 = 48*q + 567 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 77321 (base 9) to base 4\nAnswer: 30201130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 4*w. Suppose -4*p + 2*p - v + 12 = 0, 4*p + w*v - 24 = 0. What is the remainder when 1 + 14\/(-10) + 8892\/855 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.6 - 56.5. Let r = i + 18. Let f = 1 + 2. What is the second biggest value in 1\/2, f, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -6*w**2 + 1\/3*w**3 + 0 + 1\/12*w**4 + 2*w. Is 14 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*b + 32. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykpoxoxpybxykxkxxb. What is prob of picking 1 b and 1 p?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r + 2. What is the remainder when 87 is divided by v(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 13. Let x(b) = b**2 + 5*b - 13. Let h be x(o). Let i = h + -8. Solve -4*l - l = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -281 in -5\/7, 2\/123, -0.5, 2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 243\/4. What is the second smallest value in p, -2, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 80, 181, 330, 539, 820, 1185?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.026084262 rounded to four dps?\nAnswer: 3.0261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/27, -151, -0.07?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 0.09, -653\/243?\nAnswer: -653\/243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 53212578?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 82 = 4*i + 21, -i - 3*n = -11. Suppose -2*o + 2*h + 94 = 34, 2*o + 3*h - 95 = 0. What is the remainder when o is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 + 197. Which is the nearest to -2? (a) 0.1 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 18*l**2. Let j(k) be the first derivative of -11*k**3\/3 + 302. Give j(w(a)).\nAnswer: -3564*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 10*q + 4030. Suppose 0 = -a + t + q, -a - t + 4048 = 4*a. Let y = -288 + a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 6. Let n(b) be the first derivative of -8\/3*b**3 + 18 - 17*b + 0*b**2. Let u be ((-2)\/4)\/(2\/16). Determine u*n(k) + 11*l(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2*j, 3*n + 17 = 2*j. Let s be (1 - -3)*n\/42. Which is the closest to -1\/3? (a) 0 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -54. Let d be (-450)\/5*c\/(-6). Solve 3*l = 5*n - d + 6, 0 = 3*l + 3*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*f + 0*f + 14*f)*(24 - 9 + 37) - 2 - f + 2*f + 1 as c*f + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/1176 + l**7\/245 + l**6\/420 - l**5\/70 - l**4\/42 + 14*l**2. Determine r, given that d(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 - (18 + -11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -340, 346, 1490, 3086, 5128?\n\"Answer: -u**3 + 235*u**2 - 12*u - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**7\/168 - 5*m**6\/24 - 9*m**5\/8 - 65*m**4\/24 + 20*m**3 - 2*m - 7. Let i(y) be the third derivative of c(y). Factor i(u).\nAnswer: -5*(u + 1)**2*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 360, -1, -2, 3, -5 in increasing order.\nAnswer: -5, -2, -1, 3, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from rqqq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let r be w(-6). Let h = 13 + r. Suppose 0*p = -4*p + h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270 - -269. What is the nearest to n in -2, 60, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527997 is divided by 1000.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9778374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*p - 1 = -4, y + p = 9. Suppose -3*w + 0 + y = 0. Suppose 416 = 2*i + w*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**4 + 3*a**2 - 27*a - 3. Let n(u) = 12*u**4 + 5*u**2 - 53*u - 5. Let y(o) = -3*n(o) + 5*x(o). Find the second derivative of y(b) wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -4755.\nAnswer: -4754.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {n: 7, j: 2, d: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197 + -139867?\nAnswer: -1396b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (5 + 1) - 10) + 5 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2854539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:10 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 12:41 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252.1 + 256.1. What is the closest to 1 in d, -3, -0.24, -3\/8?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28809640693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(5) + sqrt(55)\/(sqrt(11)*-2) + sqrt(5) + sqrt(5)) - -6*6*(1 + sqrt(3)).\nAnswer: 36 + 254*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226407 (base 9) to base 5.\nAnswer: -13322200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 3. Let n be p(0). Suppose -2*f + 5*s + 95 = n*f, 3*f + 4*s - 29 = 0. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471788*l - 183829*l + 201040*l.\nAnswer: -454577*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 4*h, -4*u - h + 22 = -4*h. Suppose 0 = -2*b - 3 + u, -4*b + 65 = 3*x. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 3*y + 1. Let j be v(-2). Suppose -j = -4*k + 5. Suppose -k*r - r - 3*m + 99 = 0, 0 = 5*r + m - 153. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 2084512*n**2 + 271566054144*n - 2172661843968.\nAnswer: 4*(n - 8)*(n + 260568)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**0\/z*z)*z)**(18\/11)\/(z**0\/z**2) assuming z is positive.\nAnswer: z**(40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/(-118))\/(1\/((-42)\/9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40488 divided by 115?\nAnswer: 40488\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s**2 + 5*s + 9. Let c = -1 + 3. Let v(q) = q + 4 - 6 + 4 - 3*q**2. Suppose 27 = 7*o - 10*o. Calculate c*j(a) + o*v(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1677.841ug?\nAnswer: 1677841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3084.9061 - -149941.\nAnswer: 153025.9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 31. Factor -k - 1\/2*k**4 + n*k**2 + k**3 + 1\/2.\nAnswer: -(k - 1)**3*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -182889.4959 to the nearest one thousand.\nAnswer: -183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584242*d**2 + 584242*d**2 + 9*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244192 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*0\/(2 + 2). Suppose g = -o + 4*o - 153. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -23.8.\nAnswer: 190.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - 4.172. Let z = g - -0.07199858. Round z to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e6 (base 16) to base 10.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-2) - 0\/1. Suppose f - 5 = 4*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 85. Let g be ((8\/6)\/(i\/(-21)))\/51. What is the smallest value in -5, 4, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Suppose 14 = 5*i - 3*i. Solve 0 = 5*w - i + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 - 2*c. Let l = 18 + -20. Let x(n) = -8*n**2 + 5*n. Give l*x(r) - 5*d(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 - 10*d + 4. Let a be u(10). Suppose q - 3*c + a = 0, 2*q - c = c. Solve 0 = -g + q - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1354044 - -1354044.0569977. Let r = 0.057 - j. Round r to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*y**4 + 74*y**4 - 104*y**2 + 145*y**2 wrt y.\nAnswer: 1776*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 6*b + 20221*b**2 + 30403*b**2. Let g(h) = -5*h**2 - h + 2. Let o be g(1). Let y be l(o). What is y rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*z + 8670, -3*s + 3*z + 22275 = 9240. What is the highest common divisor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 0 - ((-9 + 26 - 29) + 4)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3328 to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, l: 2, k: 2, z: 2}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(36)*1 + sqrt(36)) - sqrt(36))\/(sqrt(48)\/sqrt(4)*-2) + -5.\nAnswer: -5 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-9\/8)\/d)\/((((d**(-5)*d)\/d)\/d*d)\/d))\/(d\/((d\/(d*d*d**(-15)))\/d)*d*(d\/d**3)\/d) assuming d is positive.\nAnswer: d**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.042 = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 18 + (-22 - (-2 - (-2 + -1)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l - 249. Let k be m(-37). Suppose w = 10*n - 14*n + 110, -3*n + 94 = -5*w. Calculate the highest common divisor of k and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*m + 36, 0 = -3*m + 5*z - 16. Let u be (m\/18 - -2)*(1 + 29). Let k = u + -20. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 80 = 2*f, 0*x - 5*f = -2*x + 77. Suppose t - 2*m - 3*m = 6, 3*m = 4*t - x. Solve -l + 4*s + 2 - 12 = 0, -l - 3*s = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159, -229, -341, -495, -691?\n\"Answer: -21*h**2 - 7*h - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2*y**4 + y**2 + (2 - 4 - 5)*(-8*y**4 + 11*y**4 + 4*y**4) + (0 + 0 - 2)*(-4*y**3 + 4*y**3 - 5*y**4).\nAnswer: -41*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 43 = 3*t, -5*y = -7*y - 3*t - 1. Suppose -9*g + y*g + 1428 = 3*s, -2*s + 4*g = -936. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043177 rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 29258071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3257180, 0 in decreasing order.\nAnswer: 3257180, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4 - 0. Let h = x - -8. Suppose 0 = h*y + 2*y - 54. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2*b**4\/3 - 3308*b. Let f(l) = -7*l - 7. What is s(f(d))?\nAnswer: 392*d**2 + 784*d + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, y: 1}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 221, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (7 - (-3 - (1 - 11)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/4))\/((-1528)\/1146)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -610*c**3*l*p**3 - 3*c**3*l*p**2*u - 5*c**3*l*p*u - 2*c**3*u + c**2*p + 5*c*l*p**3*u - 16*c*l*p**2*u wrt p?\nAnswer: -3660*c**3*l + 30*c*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16180?\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/8 - 5*q**3\/3 - 6*q**2. Let w be y(6). Solve -5*g + w = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11407, 22779, 34177, 45613, 57099, 68647, 80269, 91977?\n\"Answer: 2*j**3 + j**2 + 11355*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 11) in base 2?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 421755\nAnswer: -9\/140585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89761, -89763, -89767, -89773, -89781?\n\"Answer: -l**2 + l - 89761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 0 - 126*x)*(100*x**3 + 95*x**3 - 196*x**3 + 3*x**2 - 2*x) to the form p*x**3 + s*x**4 + v*x**2 + f + t*x and give p.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 24. Sort 4, r, 10 in descending order.\nAnswer: 10, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 + 8*l - 6. Suppose -28*x = -32*x - 20. Let s be p(x). What is d in -s*d**2 + 8\/3*d - 2\/3*d**4 - 2\/3 + 8\/3*d**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 3*d**4 + 1 - 450*d + d**4 + 465*d + 2*d**2 as m*d**2 + f*d**4 + l*d + b + w*d**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose -n + h*n = 0. Let l be (3 - -5)*(-1)\/10. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 130 in descending order.\nAnswer: 130, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/4 - 2*x**3\/3 - 13*x**2\/2 - 19*x - 4. What is the units digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 13 - (10 - 2)) + (-22 + 40 - 26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5502*k**2 - 104*k**3 + 5502*k**2 + 221*k**3 - 102*k**3.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x - 4. Let k be p(9). Let z = k + 18. Suppose -5*v = z - 40. What is the greatest common factor of 63 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 1 (b) 0 (c) -0.4 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrmtaaaaraarrraatm. Give prob of sequence arrr.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 5*z + 2. Let c(o) be the first derivative of -o**2\/2 + 3*o + 4. What is the smallest common multiple of c(-6) and j(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1356 (b) -2 (c) -0.3 (d) 4 (e) -1 (f) -227.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = -3*n + 11 + 35, -4*n - k + 218 = 235 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from cicllviillmimlmivccc?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 - n - 1. Determine y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j - j**2 + 7*j**2 + 2*j - j wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -2719.\nAnswer: -2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 31339 = n. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 - 3*m**2 - 2*m - 2. Let b = 22 + -22. Suppose b = 2*x - 28 + 6. Let k(y) = -21*y**3 - 15*y**2 - 11*y - 11. Calculate x*q(s) - 2*k(s).\nAnswer: -2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -16, 0, 4, -5, -25 in decreasing order.\nAnswer: 5, 4, 1, 0, -5, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*q - 3*o, 2*o = -3*q + 6*o + 35. Suppose -775 = -q*h + 3*y, 2*y + 7 = -3. Calculate the remainder when h is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 56. Let w = -20 - -34. What is the greatest common factor of c and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = h + 3*h + 4*k, -2*h + 2*k = 40. Let v = h + 26. Suppose -v*f - 968 = -4*l, 4*l - 597 - 371 = -2*f. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 326 = 4*c + 6*u, 0 = -2*c - 3*u - 177. Which is smaller: -1083\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 8. Suppose 0 = 3*v - 62 + j. Let s(b) = -1. Let m(z) = z**3 + 9. Determine v*s(l) + 2*m(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -16257*h + 81330. What is c(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g + 48671 = -85*g + 3*f, -f - 97349 = -2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, x: 4, n: 1, d: 2, z: 4}. Give prob of picking 1 d and 1 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 759954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 173?\nAnswer: 336\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*5*(-4)\/240. What is the smallest value in 2, -9\/5, z?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33775*s - 11932*s - 5154*s.\nAnswer: -50861*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 r when three letters picked without replacement from rvffffvfrffrfffr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from cccccoccnoocckc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4 + 0*c + 1\/4*c**2.\nAnswer: (c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36668841 and 5522.\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82, 219, 362, 511, 666?\n\"Answer: 3*h**2 + 128*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -4 - (48 + -30 - (11 + 0 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = 0. Let f(d) = -31*d - 4726. Let c(x) = 4*x + 616. Let g(l) = -23*c(l) - 3*f(l). Give g(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189114859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(75) + 1)*2 + 4*(0 + sqrt(75)))*2 - ((sqrt(75) - (sqrt(75) + 0)) + 5 - (sqrt(75) + (sqrt(75) - (0 + sqrt(75) + 0))))**2).\nAnswer: -288 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:22 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 20. Solve 5*g - 3*q = -8 - d, -3*g - 12 = 3*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c + 12. Give w(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92916955?\nAnswer: 5, 73, 193, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/555, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-6)\/12*0. Calculate the greatest common divisor of o and 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1. Let y(n) = -5. Let v(c) = -4*o(c) + y(c). Let f(d) be the second derivative of -d**3\/3 + 3*d**2 + 85*d. Give f(x) + 6*v(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 + 2*x + 12. Suppose 6*b - 4*b + 12 = 0. Let a be s(b). Solve -j + 3 = -3*h, a*j + 3 = j - 5*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/956 and 7 + (20 - 0)\/(54\/(-6)).\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 62. Is 13 a factor of q\/6*(-120)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/120 + u**4\/12 + u**3\/3 - 2*u**2. Let h(v) be the first derivative of j(v). What is the first derivative of h(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let g(q) = 22*q. What is the tens digit of g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**3 - 11*i**2 - 13*i + 16. Let a(x) = 2*x**3 - x**2 + 3*x + 1. Calculate 8*a(w) + 2*t(w).\nAnswer: 2*w**3 - 30*w**2 - 2*w + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83041 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -5 (c) -24 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*u = -u + 4, 5*g + 10 = 3*u. Let j = -97 - 7. Let z be j*g\/((-8)\/50). What is z rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let g(x) = -46714*x. Calculate g(u(j)).\nAnswer: 46714*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*s - 83*s - 186 - 178 - 94*s - 73*s + 363.\nAnswer: -16*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 + 2*n**3 - 5893*n**2\/2 - 89102*n + 92046 = 0. Calculate n.\nAnswer: -46, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817080411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301136 - 2?\nAnswer: 301134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2666989656 and -0.046.\nAnswer: -2666989656.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2096.7 rounded to the nearest ten?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - 4 - (5 + -2). Let z be (-10)\/(-1) + (3 - r). Let b = z + -18. Are b and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:59 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) -3 (d) 2 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -604 (base 13) to base 12.\nAnswer: -70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 1688*b**3 - 5052*b**2 + 5048*b - 1682.\nAnswer: -2*(b - 841)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, b: 2, g: 10, e: 3}. What is prob of sequence gg?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10780 and -1136.\nAnswer: 12246080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:17 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-506)\/168 - 17\/(-68). Let l = t - -17\/7. Which is the second biggest value? (a) 5 (b) -3 (c) 2\/11 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10366.91039 + -10367. Let v = 0.09 + z. What is v rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 t when three letters picked without replacement from {t: 9, p: 6, h: 1, m: 1}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 + -1 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*13\/(-845)*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 20. Let o(n) = -3*n + 2. Determine x(o(u)).\nAnswer: 27*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/40*-6)\/((-276)\/184).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a**2 + a**2)*(a**2 + 4*a**2 - 3*a**2) + 811*a + 399*a**4 - 811*a + (4*a**3 + 0*a**3 - 2*a**3)*(-a - 2*a + 5*a).\nAnswer: 399*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58576 - -58575.9972099. What is r rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/4, 0.13, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4671602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002961946857 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 30*w**2. Let m(x) be the third derivative of x**4\/12 + 18*x**2. What is h(m(y))?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29773 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*g - 10 - 77 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**3 - 56*z**2 + 857*z + 1922. Let g(f) = -9*f**3 - 55*f**2 + 862*f + 1922. Let w(s) = 4*g(s) - 5*m(s). Solve w(o) = 0.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-45)*-3*10\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6279 - 25119\/4. What is the nearest to m in -2.3, 2\/15, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*d + 2*d - 9, 4*d - 24 = 4*k. Suppose 3*f - 4 = -13. Let z be 1 + 3*(-2 - f\/1). Sort -3, d, z in ascending order.\nAnswer: -3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/7 + 70097*h**2\/7 + 17740122*h\/7.\nAnswer: h*(h + 254)*(h + 69843)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-4)*(6 + 97451) + 8\/(-32)?\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4619746.16 - -6175897765.16. Let a = d + -6171278112.99999959. Let x = a - -94. Round x to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, a: 1, g: 3, m: 2, s: 3}. What is prob of picking 2 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 37*q**2 - 125*q - 1002. What is y(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g\/(g\/g**(-1\/27)))\/(g**24\/g**(-1)) assuming g is positive.\nAnswer: g**(-622\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 27 = 18. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1793.85194 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973577477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 3. Let j be k(-3). Suppose j = 2*p - 3*a + 133, 0*p - 4*p - 5*a = 321. Let z = p + 165. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-115305707.\nAnswer: 34591712.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 39*v**2 - 59*v + 29. Let n(y) = 5*y**3 - 155*y**2 + 235*y - 115. Let u(q) = -15*k(q) - 4*n(q). Find h, given that u(h) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z. Let w(i) = -10*i**2 - 2*i + 35. Determine d(w(m)).\nAnswer: 140*m**2 + 28*m - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.332587 hours to minutes.\nAnswer: 259.95522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 0*m**2 - m**2 - m**2 + m**2 - 4*m**2 + (5 - 2 - 4)*(2*m**2 + 3 - 3) + (2*m - 3*m - m)*(-13*m + 9*m + 2*m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209707664.\nAnswer: 2, 3407, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -73*w**3 - 2*w**2. Let k(c) = 74*c**3 + 3*c**2. Give -4*k(n) - 5*p(n).\nAnswer: 69*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 98. Let w(z) = -z + 57. Let q(n) = -3*v(n) - 5*w(n). Let c = -1 + -3. What is q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -228, -360, -488, -612, -732, -848?\n\"Answer: 2*x**2 - 138*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 48293868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7320952*g**3*o**2 - 2*g**3 + g*o**2 - 66*g*o + g + 2*o**2 - 1184 wrt g.\nAnswer: 43925712*g*o**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*r + 11 = 0, -5*r = 3*m + 8 + 4. Let y be (7\/(-14))\/((-1)\/626). Let g(k) = y*k - 2 + 2 - 301*k. Calculate g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -2*r - 50, 757*r - 755*r = 5*k - 28 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 + 8*l - 3. Let h be w(3). Calculate the highest common divisor of 33 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*n + 579*n + 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11013022 + -5340?\nAnswer: 11003242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.08 - 0.28. Let i = n + 19.2. Let h = i - 22. Which is smaller: h or 0.14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(3*sqrt(209) + sqrt(209)) + sqrt(209))\/(2*sqrt(1584) + sqrt(1584)).\nAnswer: -11*sqrt(19)\/36 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1320807 times 5\nAnswer: -6604035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 4.02. Let n be 2 - (-2 - (-22)\/6). Let w = 28599 - 28597. What is the second smallest value in n, u, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 - (-2)\/(-2). Suppose 2*d + 10 = 0, -4*z + 0 = -3*d + 5. Let j = 10 + z. Put -2, m, j in increasing order.\nAnswer: -2, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022.3 times 50\nAnswer: -51115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -53*d**2 + 2995*d + 1419. What is a(57)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5124\/2447 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7104 or -7103?\nAnswer: -7104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-195)\/26*(-4)\/5. Let p = -5 - -8. Suppose -p*i = -v*i. Solve r + i*r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(2\/63)*w*w**(-8)*(w**13)**(6\/11) assuming w is positive.\nAnswer: w**(734\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8)\/(((-25)\/30)\/(20\/(-8)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 436848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 117*d**4 - 4*d**3 - 93*d**2. Let t(y) = -350*y**4 + 11*y**3 + 280*y**2. Let x(s) = -11*c(s) - 4*t(s). Find the third derivative of x(l) wrt l.\nAnswer: 2712*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 269*b - 537. Determine r(34).\nAnswer: 8609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486711*j**6 - 67843*j**2 wrt j?\nAnswer: -58405320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2, 2\/29, 0.2, -1.19, 0.4.\nAnswer: -1.19, 0.05, 2\/29, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuugkgk. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and -87\/3532.\nAnswer: 10596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308166 divided by 3.\nAnswer: 102722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 41319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**3 - 2*g**2 + 2*g. Let s(w) = 45*w**3 - 9*w**2 + 9*w. Let y = 1800 - 1818. Determine y*p(l) + 4*s(l).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -104. Let u be (2 + (-7 - -3))*1. List the prime factors of 1 - (d\/u + 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3918 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 2. Let g be o(-6). Suppose 2*l = 3*l + g*u, -u = 5*l - 19. Calculate the remainder when l is divided by (0 + 1)\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2098.1 - -2098. Let t = -38 - -113\/3. Which is the closest to s? (a) t (b) 3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 14*v - 2*v**2 - 5*v - 78.\nAnswer: -2*v**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -215, -491, -877?\n\"Answer: -55*s**2 - s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 0)*(-3 + 3 + n) + 6 + 2*n**2 - 6 + (n**2 - n**2 - n**2)*(0 - 1 - 2) + 0 + n**2 + 0.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:16 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, h: 1, m: 2, n: 2}. Give prob of sequence nan.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 25\nAnswer: 16\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m + 10. Let v(f) = f. Let z(j) = -i(j) + 4*v(j). Let q(l) = 3*l + 5 + 2*l + 2*l - 3*l. Let h(o) = -13*q(o) - 6*z(o). What is h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372 divided by -124.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -718 + 96?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1519584222 and -0.4.\nAnswer: -1519584222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3620, -7264, -10906, -14546?\n\"Answer: o**2 - 3647*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1252 + 42.\nAnswer: 41.8748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 116 = 2*v, 3*v - 8*v - 300 = 5*r. Let p be 1\/(-4) - 294\/v. Solve -28*m = -27*m - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**9*v*v*v*v**(-3\/5) assuming v is positive.\nAnswer: v**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220\/7*b + 0 + 2\/7*b**2.\nAnswer: 2*b*(b - 110)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 91. Let h = 272 - 331.4. Let w = h - m. Round w to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 - 2*w - 1. Suppose -7*j + 40 - 12 = 0. Let l be z(j). Suppose l*h = 5*h + 398. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.95 - -3. Let y = -1.05 + i. Let p = y + 0.9. Put 1, -3, p in ascending order.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = -10 + 75. Is (5\/a - 2610)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200 + 6*f**3 - 1200 - 89*f**4 - 1150 + 3*f**3 + 96*f**4 wrt f?\nAnswer: 28*f**3 + 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, o: 1, n: 2, b: 2, m: 1}. Give prob of sequence vn.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(675))\/sqrt(9))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/8 - (-4)\/2)*-24. Suppose -2*u = -4*p - 10, w = -5*p + 4*u - 8. Solve 2*m = r - 6, 3*m - 4*r = -p*r + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*k - 1854 = 1772 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (14 - 3) - (-168)\/42. Let r(l) = l - 5. Let u be r(8). Sort -3, u, d.\nAnswer: d, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3 + 3)*(x + 4 - 4) - 16*x**2 - 13*x**2 + 7*x**2.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 6. Let y(o) = o + 1. Let n be y(4). Suppose -q*c = -n*c + 24. Solve 0*m - c = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**4\/4 - y**3\/3 + y**2\/2 - y + 28. Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 4*k. Suppose 0 = -4*d + k*i + 72, -d - i = -6*d + 74. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - j**2 + 66. What is y(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 36346?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 20. Suppose -6*n = -15*n - s*n. Solve 3*c - 22 = 4*l, 5*l + 14 = -3*c - n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:22 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5214*o - 13*o**3 - 10*o**3 - 5214*o.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and ((-888)\/(-10))\/((-2714)\/345 - -8)?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 * 423\nAnswer: -129015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/8)\/(4\/(-24)))\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o**2 - o**2. Let x(j) be the second derivative of 0*j**3 + 2*j + 0*j**2 - 1\/6*j**4 + 0. Calculate m(x(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/33)\/(((-90)\/(-165))\/(6\/8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775290.31 rounded to the nearest 1000?\nAnswer: -1775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 249557130871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*-18 + -23\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*q - 35, 10 = q + q. Let s = -67 + 70. Suppose s*t - 104 = -z + 43, -5*t + 252 = 4*z. What is the greatest common divisor of t and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*j**3 - 2*j**2*q**2 - 90*j - 8955*q**2 - 2*q wrt j.\nAnswer: -51*j**2 - 4*j*q**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/33, 2\/25, -2\/365?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3407069.\nAnswer: 601, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -57*(0 - 198\/27) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 - 47. Let c = -21 + k. Is 2\/3 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438256 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*k = -13, 10*z - 12*z - 10 = -5*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 8*i**2 + 26*i + 113. What is z(-8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2654 - -4?\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 1247128011?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1297\/20 - 257\/4. Let x = 32 + -3. Which is the nearest to x? (a) 1\/5 (b) -1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1651.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 3, 19, 51, 105, 187?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.05581740658373 + -63253373.05581788658373. Let s = -63253378 - m. Let d = -6 - s. What is d rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0726455827 rounded to 3 decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 1152.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let v(r) = 83*r - 95*r + 0 + 0. Determine v(o(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-156)\/(-63648))\/((-4)\/(-96))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 210?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -48*h**2 + 35*h - 22. Let w(n) = -32*n**2 + 22*n - 14. Give 8*w(d) - 5*x(d).\nAnswer: -16*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64539972 a multiple of 3757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, 163 in ascending order.\nAnswer: -24, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(-4)\/b*b*b)*b)**(-22)*(b**4)**(-3\/23))**(-2\/15))**(1\/42) assuming b is positive.\nAnswer: b**(2542\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmmlvvmvvmvvmvvmm. What is prob of picking 1 l and 1 m?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*332.\nAnswer: 19920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -363*h**5 + 2607*h**4 - 5481*h**3 + 1269*h**2 + 5832*h - 3888 = 0?\nAnswer: -1, 12\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)\/((-39)\/(-13)). Suppose 0 = 6*f + 2*f - d*f. Find a such that f - 2\/7*a**4 + 0*a - 6\/7*a**3 - 4\/7*a**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149136673 is divided by 3423.\nAnswer: 3409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 6417.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -940139*t - 1000108 wrt t.\nAnswer: -940139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365517*q**2 + 224380*q + 1 wrt q?\nAnswer: -731034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 13*c**2 + 34*c - 13. What is h(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5379 - -16551. Let f = x - 7123. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 48. Let l(s) be the second derivative of -7*s**4\/6 - 878*s. Calculate d(l(i)).\nAnswer: 196*i**4 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -3*p - 36. Solve -p*m - 5*t = 9, 4*m + 0*t = 5*t + 41 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -191. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 5*r + 1. What is the remainder when i(-6) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118683\/65935*(-125)\/(-3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovofoovdooodo. What is prob of sequence df?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqtqqq. What is prob of sequence tq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*(t\/((t\/t**1)\/t))\/t*(t\/t**(-1\/3))**(-8\/17))\/(t*t**(-2\/5)\/t*t\/(t*t**(-5)*t*t))**23 assuming t is positive.\nAnswer: t**(-14899\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose 5*o - 6 - l = 0. Suppose 2*r = -o*r. Solve r = -3*v - 1 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025023311 - 0.02502. Round o to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-756)\/126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 171, 206, 241, 276, 311?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/105)\/(48\/(-40)))\/((-6)\/27).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 + 0*l**4 + l**4 + (-4*l**2 - 2*l**2 + 2*l**2)*(-l**2 - 3*l**2 + 2*l**2) + l + l**3 - l + l**4 - l**2.\nAnswer: 5*l**4 + l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 297914987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823472 is divided by 2084.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34886 + 110448. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) + 14 + 1. Suppose i + 2*i = 5*y - 25, 4*y - g = 2*i. Find r, given that 0 - 1\/3*r**3 + 1\/6*r + 1\/6*r**y = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 9}. What is prob of sequence vv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 2*i - 21. Let v be b(-5). Suppose 0 = -3*f + v - 10. Suppose -x + 2*j = 122990, 0*j - 2*j + 368990 = -f*x. Round x to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935 or 1068?\nAnswer: 935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 34314*u**3.\nAnswer: -2*u**3*(u + 17157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 6 + 12)*(2 - 2 - 2*v**3).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 31*j + 127. Suppose 39*b + 213 = 1266. What are the prime factors of s(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -14.304.\nAnswer: 2.8608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -4*b - b, -4*b - 2*f + 34 = 0. Let w be (-54)\/168 - b\/(-8). Is w greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (1 + sqrt(275) + sqrt(275))) + 1 + -1*sqrt(11) + (sqrt(33) - sqrt(132)\/sqrt(4))\/sqrt(3) + -3)**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 - 1208*f\/15 - 38962\/5.\nAnswer: -2*(f + 121)*(f + 483)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (41\/(-4))\/((-6)\/24). Let h = 9 + j. Suppose 0 = 3*f + 2*f - h. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 6*i - 3. Let q be h(5). Let t = -7 + 12. Suppose t*n - 9 = f + 14, 7 = n - f. Solve -n*a - 2 = -q*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -473 - -134. Let c = -535 - z. Let b = c + 187.1. What is b rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 - -89. Find the second derivative of 222*z**2 + 225*z**2 - 86*z**3 - 147*z**g - 447*z**2 + 6 - 8*z wrt z.\nAnswer: -1398*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 3451 + 56515. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 3, -61, 208?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70522509 divided by 3711711.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0) + 0 - 811178\/(-72). Let u = -11266 + i. Let q = -346\/15 - -23. What is the common denominator of q and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 6. Let k = 0 - 1\/3. Let g = -221\/3 - -73. What is the biggest value in k, o, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973793 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {v: 1, q: 2, r: 3, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 - 4*d + 7. Let r be k(-5). Suppose -r = v - 9. Let u = v + 25. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 + 4*y**2 + y**2 + (1 - 1 - y)*(2*y + 4*y - 4*y) + 4*y**2 + 3*y**2 - 6*y**2 + y**2 + 2*y**2 - 2*y**2 + y - 5*y**2 - y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 26*u - 4816. Give j(28).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 36, 58, 80, 102?\n\"Answer: 22*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 25*z**2 - 33*z**2. Let k(f) = -20*f. Determine k(x(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(1 - 3) - (-1190)\/(-476)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by ((-12)\/(-33))\/(-2) + (-7104)\/(-352).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*f - 4*v, 3*v + 60 = -0*f - 3*f. Let u be 5\/f + (-9)\/(-68). Let j(b) = b. Let m be j(-2). What is the third smallest value in m, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -458 * 0.22\nAnswer: -100.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 453 (b) 7\/5 (c) -1\/6 (d) 0.5 (e) -822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.234 + -0.034. Suppose -i - 4 = 2*g, -4*i = 5*g + 14 - 1. What is the nearest to -1 in i, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184132?\nAnswer: 2, 3, 182011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*x**4 - 175260*x**3 - 34709141*x**2.\nAnswer: 480*x - 1051560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10170438.\nAnswer: 2, 3, 1695073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 395 - 255. Suppose 320 = 5*w - 5*n, 0 = w - 4*n - 45 - 10. Suppose w + d = i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, o: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -6*s + s + 13, 4*s - c - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 45447394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - 0\/(-9). Which is the third biggest value? (a) 1 (b) z (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -97. Suppose -b + 2*b = -d*b. Suppose b = 5*a - 2*n + n - 93998, -4*n = -a + 18792. Round a to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + f + 7. Let q be y(3). Is (q\/7)\/(24\/(-84)) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.99. Let h = w - -0.06. Which is the third smallest value? (a) -4 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let y(c) = 9*c - 1 + c**2 + c**2 - s*c**2 - 3. List the prime factors of y(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*k - 16, -5*k - 4 = 2*f + 25. What is the smallest value in 1\/11, k, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -165 + 46 + 105.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*k**5 - 43513*k**4 + 6*k**2 - 36278*k - 169?\nAnswer: 460*k**3 - 522156*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 16. Let v = p - -11. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p = -29*p + 4. Suppose 2*o = -4*u + 4*o - 30, p*u + 36 = 4*o. Let d(j) = -j**3 + 6*j**2 - 6*j. Let c(a) = a**3 - 5*a**2 + 5*a. Give u*c(s) - 5*d(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*j + j + 3, -t - 2*j = 3. Solve m = 2 - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 273 - 413 - 232*q - 226*q - 228*q + 687*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1701 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 17*o**2 + 0 to u*o**2 + s + z*o and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 + 4*j**2 - 5*j - 3. Let p be o(4). Let z = p - -482. Let f = 50 - 10. What is the remainder when f is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/10*10\/4. Suppose -f*h - 11 + 65 = 0. Suppose -r = 5*u - 25, -2*r + h = -u + 3*u. Solve d + 0*d = 3, -3*x = r*d - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 5*b**2 - 5*b - 2. Calculate the remainder when 6 is divided by o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*m + 4*m. Let b be (23 - m)*2\/(-4). Let d = 22 + b. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Let g be y - 2\/(-2) - 20\/(-5). Let s(f) = 4*f - 7. What is s(g)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 44*a**3 + 232*a**2 - 340*a + 150.\nAnswer: 2*(a - 15)*(a - 5)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1152102, -1152099, -1152096, -1152093, -1152090, -1152087?\nAnswer: -1152084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 2226b?\nAnswer: -2227b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*2\/54)\/(170\/23715)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97358500 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 10:56 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Let o be -100*s\/64*-10. Is o greater than 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11684843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159 or 1426\/9?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 16, 2, 1, 176 in descending order.\nAnswer: 176, 16, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 + 79 + 105)*(2*q - 3*q + 2*q)*(2*q + 2*q - 5*q + (-3 + 1 + 0)*(0*q - q - q) - 2*q + 2 - 2 + 4*q + 4*q - 5*q) as a*q + l*q**2 + c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1141129.97799979 - 1141130. Let y = c + 0.022. What is y rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 12554 = -47102. Suppose c - 786 = -13*y. What is y rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13181689?\nAnswer: 29, 454541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 9\/523 in decreasing order.\nAnswer: 1, 9\/523, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161680697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 0*c**2 + 0*c**2 - 3*c**2. Let j(o) = 3*o**2 + 2*o - 2. Let r(k) = 80*k**2 + 55*k - 55. Let z(a) = 55*j(a) - 2*r(a). What is z(g(u))?\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8799962 + 2.88. What is t rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(2*4\/112). What is the smallest common multiple of 16 and (-28)\/d*(-23 + -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**20)**(-4)\/((u\/(u*u**(-3))*u)\/(u**(-3)*u*u)*u*u**(-2)*(u\/u**(-1\/3))\/u) assuming u is positive.\nAnswer: u**(467\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020930787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/8389 + 16757\/176169. Put v, 2, -5, -5\/2, -4 in increasing order.\nAnswer: -5, -4, -5\/2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 2) + (-53 - -68) + -79 + 55?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20 + 164\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2880 and 42.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2198 + -2.7218. Round s to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56b - 4cb?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7268642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 80007 (base 15) to base 2\nAnswer: 1100010111000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1964254.\nAnswer: 5\/1964254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**6 - 6*g**5 + 214*g**3 - 69376*g**2?\nAnswer: 720*g**3 - 360*g**2 + 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13961 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 979306943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 21504.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2701 and 657.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 103*b**2 - 135*b + 29. Let z(w) = -2*w**3 - 52*w**2 + 68*w - 14. Let o(f) = 6*x(f) + 11*z(f). Determine y, given that o(y) = 0.\nAnswer: 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28586*y**2 - 2*y + 36041.\nAnswer: -57172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/38 + -2\/19. Which is the second smallest value? (a) m (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 397, 412, 429, 442, 445, 432?\n\"Answer: -w**3 + 7*w**2 + w + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 2561*o**5\/10 + 8159*o**4\/12 - o + 3568. Find the third derivative of u(f) wrt f.\nAnswer: 30732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 43*v + 3. Determine n(10).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-10)*45\/(-6). Let t be (-28)\/56*(-10 - 0). Solve 0 = 5*r - 4*u - 32, r + t*u + 35 = j*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.531928 and 1568641?\nAnswer: 1568639.468072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82548, -165111, -247674?\n\"Answer: -82563*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 - 25*i**2 + 16*i - 8. Let g be q(-7). Suppose -6*u + g = 9. Solve 0 = -u*b + w + 1, -4*b - 3*w + 9 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 4. What is n(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17844 = 409*y + 15694 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322015636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-364.\nAnswer: 16744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 - 3676*c\/5 + 7336\/5.\nAnswer: 4*(c - 917)*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*378\/4200*(-5)\/(-45)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -137171 divided by -6\nAnswer: 137171\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340528757?\nAnswer: 340528757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 222773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1 + -3)*-5. Let m be y\/(25\/8) - 2. Let p = -3.3 - -3. What is the nearest to m in 1, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 1407*t**4\/4 + 419*t**2\/2 - 885*t. What is the first derivative of g(o) wrt o?\nAnswer: 8442*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 24683?\nAnswer: -6\/24683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 701\/3, 1\/3, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-183425)\/203)\/(24\/(-14)). Let h = -528 + n. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {k: 1, r: 5, f: 3, x: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/85*(-4)\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*z - 11*z - 34100 = 0, 0 = -2*k + 4*z + 34098. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 3606 + 754 = 0. What is the remainder when b is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 6*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f1 - -351a?\nAnswer: 3129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2126 and -2.85.\nAnswer: 2123.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34843 - -0.39843. Which is the biggest value? (a) u (b) -0.05 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -34*u + 225. Let f(b) = -100*b + 673. Let r(q) = -3*f(q) + 8*z(q). Let m be r(8). Solve m*d - 2 = -2*o + 3*o, -d = -3*o + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 1 - 19*j**2 - 2 - 4*j - 6*j**3 + 5*j**3 + 0*j as k*j**3 + w*j + l + o*j**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 4813570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -166, -3, 61, 49?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) - (-87)\/15. Let k be 4\/8*s\/7. What is the nearest to -1 in -1, k, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:48 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1)\/(3\/((-9)\/(-3))). Suppose j*h = -26 + 426. Suppose 51*b - h = 47*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t**2 - 7*t + t + 8*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 26*s - 5. Let k be q(4). Suppose 2*t = 13 - 11. Let f = t - -10. What is the greatest common divisor of k and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670881 divided by -10?\nAnswer: -5670881\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let p(z) = z**2 + 3*z + 0*z**2 - 4*z. Is 12 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x = -76, 4*l = 2*x - 0*x - 122. Let z = l - -68. Solve b = -4*b - 5*j - z, -30 = 4*b + 5*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 62\/3 of a day?\nAnswer: 29760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**44*r\/(r*r**(6\/7)*r)*(r\/(r\/(r**14*r)))\/r*r*r assuming r is positive.\nAnswer: r**(-121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*y + 1193*y + 174*y to u*y + m and give u.\nAnswer: 1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/3, -302.1116, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/381 and 23\/8025?\nAnswer: 1019175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.478 + -5.14. Let a = -0.038 + m. Let x = -2.7000036 - a. What is x rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**5 + l**3 - l**2 - 2. Let t(w) = 70*w**5 + 6*w**3 - 6*w**2 - 9*w - 12. Let v(c) = t(c) - 6*y(c). Find the second derivative of v(x) wrt x.\nAnswer: 1520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -1.7. Let w = n + -1.5. Let c be 6\/(-10) - 31\/(-35). What is the closest to -1 in w, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/6 + p**2\/2 - 10*p. Let s be u(1). Solve s = -3*h - 0*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -539\/103 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 10. Let z be l(6). Find the second derivative of -z + 12*c + 3*c**4 + 16 wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvuuyyyyyyryuyy. What is prob of sequence yu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94*r + 202*r - 84*r)*(-3*r**2 - r**2 + 2*r**2) as s + l*r + i*r**3 + t*r**2 and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6291 by 10703.\nAnswer: 6291\/10703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = 0. Let i(u) = u**2 + 2. Let c be i(n). Let j be (-2)\/6*(-7 + 7)\/(-17). Solve j*k - k = c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - (5 + 158\/(-18)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**3 + 84*x**2 - 171*x + 108.\nAnswer: -3*(x - 4)*(2*x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 + -171. Suppose 4*h + 3*f = 145, r*h - 2*f + 7 - 137 = 0. Calculate the highest common factor of h and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 5 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 9. Let w(u) = -12 - 4*u + 12 + j*u. Let b(q) = -4*q**2. Give w(b(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 t when three letters picked without replacement from {q: 4, n: 4, t: 5, g: 1, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + m = -80010, 198*q = 194*q - 4*m + 106680. Calculate the highest common factor of 70 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:49 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (2 - 5 - -1). Suppose -3*n - 3*d - 2 = 4, -d = 4*n - 7. Suppose 0 = -n*k + x + 5. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 131) + 1*-2. Let n = -77 - x. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - n + 3*n)*(-5*n + 0*n + 4*n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -293, -1222, -2767, -4922, -7681?\n\"Answer: x**3 - 314*x**2 + 6*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 140 = -3*b, -2*u + 7*b = 6*b - 148. What is the least common multiple of 5 and u?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-2*-2)\/(sqrt(44)\/sqrt(4)*-5) - (-1*(sqrt(143) - -1*sqrt(143)) + sqrt(143))\/(sqrt(11)*1*-1).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t. Let r(z) = 2 + 349*z**2 - 2 - 353*z**2. Calculate x(r(a)).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4636 and 15908434?\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 7*j**2 - 3*j**4)*(-178*j + 342*j - 172*j + 2) - 4*j**5 - 3 + 3 + 5.\nAnswer: 20*j**5 - 6*j**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167437 is divided by 1550.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 10)\/(5 - 6). Let q = -6 + 10. Suppose q*v + 5 + l = 0. Is -4 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 333. Determine i(32).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 + i**5\/10 + i**4\/24 + 4*i**3\/3 + 3*i**2. Let d be b(-6). Find the third derivative of p**3 + p**d + 5 - 5 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40395743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -48)*(6\/(-15))\/(322\/2760). Is 195 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*d**2 - 224*d?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 3. Suppose -17*g - 4 = -89. Determine p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 152, 2406, 8700, 21110, 41712, 72582, 115796?\n\"Answer: 346*c**3 - 56*c**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 + 204. Which is the closest to 24? (a) -0.2 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 285912.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 287176.9 hours in nanoseconds?\nAnswer: 1033836840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26*2848\/14976*(-12)\/1)\/((-4)\/(-6))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -419, -442, -465, -488, -511?\n\"Answer: -23*r - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -109. Let z be -25 + 3\/(-6)*-2. Let w be (-6)\/8*z\/(-27). Which is the third smallest value? (a) w (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1826652*q**4 - q + 51527 wrt q.\nAnswer: 21919824*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.5 - -18.525. What is the nearest to 2\/5 in -4, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d + 15. Suppose 2*n - 3*n = -4*c + 15, -5*c + d*n = -17. Factor -4*a + 2*a**3 - a - c*a**2 + 3*a + 4.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 150920*i - 26228876.\nAnswer: 4*(i - 173)*(i + 37903)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 25. Which is the nearest to -45\/8? (a) 2\/7 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3502 + -870129\nAnswer: -870128.6498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.03 - -48. Let u = -78 - -73. Sort u, l, 4 in increasing order.\nAnswer: u, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-8)*((-3)\/(-1))\/((-432)\/(-96)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6726, 6701, 6644, 6543, 6386, 6161, 5856, 5459?\n\"Answer: -2*w**3 - 4*w**2 + w + 6731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a + 17. Let k(f) = f**3 + 7*f**2 - 13*f - 35. Suppose 10*d - 5*d = 5*x - 15, 5*d = 3*x - 25. Let o be k(d). List the prime factors of h(o).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 50680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67965 - 43795. List the prime factors of b.\nAnswer: 2, 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j + 22. Suppose 10*w - 2*w - j = 0. Solve -x - w*x - 9 = -a, -x = 2*a + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -6. Let r(q) = q**3 + 4*q**2 - 7*q - 1. Let l be r(d). Sort l, -2, -5 in descending order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 24, 23, 14, -9?\n\"Answer: -v**3 + 5*v**2 - 7*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6) - 8\/12. Let v = -2 + m. What are the prime factors of v\/3 + (-74)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -6 - 6 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*n**3 - b*n**2 + 90*b*n - 958*b wrt n.\nAnswer: -3*b*n**2 - 2*b*n + 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1547*d**2. Let s(a) = -a**2. Give s(y(x)).\nAnswer: -2393209*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12762 + -12840)*(-6)\/(-1196)?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**3 - 123 + 0*y - 2*y**2 - 3\/2*y**4 + 1\/70*y**7 + 3\/40*y**6 - 1\/5*y**5. Let b(w) = 0. What is w?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (9 + -2 + -1) - -1) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 1\/6*l**3 - 1\/12*l**4 + 1\/12*l**5 + 0*l + 2*l**2 + 0. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.11187 and 0.12165441?\nAnswer: 6.23352441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2. Let m(x) = -101*x + 104*x - 8*x - 9*x. What is m(u(d))?\nAnswer: -14*d**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -20*z**4 + 57059*z**3 - 1913367*z**2 - 2069111*z - 98665 = 0?\nAnswer: -1, -1\/20, 35, 2819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3276, -6512, -9738, -12948, -16136, -19296?\nAnswer: -22422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -629, -879, -1129, -1379, -1629?\n\"Answer: -250*n - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 1972*h**2 - 95038*h - 97008.\nAnswer: 2*(h - 47)*(h + 1)*(h + 1032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 51\/7. Let v(n) = n**3 - 6*n**2 - 6*n - 6. Determine v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(45) + 5) - (-3 + (sqrt(60)\/sqrt(3))\/sqrt(4) + -1).\nAnswer: 9 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b367 + -10b?\nAnswer: -b476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 163483059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 4, i: 1, v: 1}. Give prob of sequence wwv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005435 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flllllfllllfllfllll. Give prob of sequence fflf.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-150)*(-17 - -97). Let i = -14\/15 + s. Which is the second biggest value? (a) 2\/3 (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 2431.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhxxhhh. Give prob of sequence hhh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 73*j + 6. Give y(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/11 - 322*q**4\/11 + 14336*q**3\/11 - 111296*q**2\/11 + 282112*q\/11 - 184832\/11 = 0. What is q?\nAnswer: 1, 4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*14\/21*-3. Let q(y) be the first derivative of -y**4\/2 + 2*y**3\/3 - y**2\/2 - 2. What are the prime factors of q(k)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (0 - 0))\/(16\/(-128)). What is the remainder when i*2\/12*(41 - -4) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1951\/3 + 666. Suppose 5*y + 1466 = 4686. What is the common denominator of (2\/36)\/((-14)\/y) and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) 4 (c) 11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013679661 to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x - 11. Suppose q = -4*q. Let i be c(q). Let n(m) = m**3 + 11*m**2 + 12. Is n(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let d(j) = 8*j - 2 + o. Let c(i) = 4*i. Let m(y) = -9*c(y) + 4*d(y). Let s(q) = -2*q**2. Determine s(m(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 4*g + 17)*(32 - 32 - 35*g)*(-3 + g + 3).\nAnswer: -70*g**3 - 595*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*h + 3)*(4 - 5 + 6)*(9*h - 20*h - 25*h).\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -ef?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - o**2 - 2*o**2 + (-4*o - o + 2*o)*(1 - 1 - 2*o))*(6 + 41 - 6).\nAnswer: 41*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 490*b*y**2 + b*y - b + 6*y**2 - y - 550 wrt y.\nAnswer: 980*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*x + 14 - 2 = 0, -v - x + 3 = 0. Let w be (-1)\/v*(2 + 1). Find the second derivative of 4*o - 3*o**3 + 0*o**w - 2*o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52450 divided by 5245?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 2*g - 15, 0 = -2*g - 3*f. What is the lowest common multiple of g and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296614 is divided by 208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -2601\/26312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 311658048 and 0.2?\nAnswer: 62331609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2 + -4 - sqrt(99)) + 4*(sqrt(99) + 0))**2.\nAnswer: -120*sqrt(11) + 2491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -18*d**2 + 20*d**2 - 2*d + 1 + d - 8 - d**2. Give n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3921, 7840, 11759, 15678, 19597, 23516?\nAnswer: 27435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and 25\/668.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137 + -23?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120.3 - 58.5. Let i = 181 - 126. Let s = i - j. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24176 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, -518 = -4*f - 5*d + 1236. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvqvovvosoovqq. Give prob of sequence sqvo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -254282 and -254291 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33339434*i**3*x**3 - i**3*x + i**2*x**3 + 910683543*i**2*x wrt i.\nAnswer: -200036604*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*x = -3*m + 23, 18 = -4794*x + 4795*x - 5*m for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44544 = -59909*f + 59213*f for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22687?\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 5*u - 8191, -3*m - 4*u - 24617 = 0. List the prime factors of m\/23*(-1 + 0).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {g: 4, a: 6, q: 4, j: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 268 and -7.7.\nAnswer: 260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 63096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -70*t**4 - 7*t**3 - 10*t**2 + 4092. Let m(i) = 23*i**4 + 2*i**3 + 3*i**2 - 1363. Let f(b) = -2*h(b) - 7*m(b). Differentiate f(j) with respect to j.\nAnswer: -84*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/55 + 210\/(-385)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 14*i**2 + 3. Let x(z) = 29*z. Let p(h) = -6*m(h) + 5*x(h). Let g(k) = -k**2. Determine p(g(v)).\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1362460, -2724916, -4087372, -5449828?\n\"Answer: -1362456*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:01 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**3*o**2 - 56*f**3*x + 2*f**2*o**2*x - f**2*o + 2*f*o**2*x - 5*o**2*x wrt f?\nAnswer: 24*o**2 - 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = 63*b - 1277 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) 0.3 (c) 2\/15 (d) -5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94, 93, 92, 91?\n\"Answer: -r + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17197\/21 - -819. What is the closest to -0.1 in 4, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 3*g + 5*g - 6*g + 1 + 6*g. Let x be h(4). Suppose 0 = -2*z + b + 10, 54*b = 3*z + 49*b - 22. Sort 0.06, x, z, -0.1 in descending order.\nAnswer: z, x, 0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*a = 10, 37*a - 36*a - 22 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:08 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 6*l - 23*l**4 + l**2 + 0 + 2881\/300*l**5 + 3\/50*l**7 + 30*l**3 - 1\/1680*l**8 - 361\/200*l**6. Solve a(f) = 0 for f.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Let b be (-3 + j)*2\/(-4). Solve 0 = -4*m - 3*w + 3 - 5, 5*w = -b*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000101010 - -1?\nAnswer: -1100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 342 + -1528. Let f = -712 - b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbss when four letters picked without replacement from {s: 6, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, r: 1, u: 3, s: 1}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 367*q + 2 + 191*q + 180*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-28) + 12\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101221 (base 3) to base 8\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 6*g**5 - 9*g**4 - 69*g**3 + 204*g**2 - 180*g + 48 = 0.\nAnswer: -4, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 112\/882 - (-4)\/(-18). Which is the second smallest value? (a) -5 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.07 and -0.12?\nAnswer: 0.4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfw when three letters picked without replacement from {d: 1, r: 1, t: 1, m: 1, w: 1, f: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 310. Suppose 5*n = -2*h + 98, n + 2*h - k = -2*n. Suppose -n = -3*c + c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001401 to five decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 68*a**2 - 548*a - 1004. What is b(-59)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.88170946 - 0.0033745.\nAnswer: -0.88508396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 312.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*x - 0*x + 2, -3*x = -2*l + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 30 = 10*a. Solve j - a*n + 5 = 2*j, 2*n = 4*j + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3093578*y**6 + 13568*y**2 + 34.\nAnswer: -371229360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(32) - (0 + sqrt(32)) - sqrt(10)\/(sqrt(5) + (sqrt(5) - (sqrt(5) + 6*sqrt(5)*-1))).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(0 + sqrt(325) + -3))**2*-2*1.\nAnswer: -16700 + 1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 4*o - 26. Let m = o + 293\/5. Let x = 36 - 36. What is the nearest to -0.1 in 3\/8, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4513096 and 11116.\nAnswer: 4513096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -359, -760, -1485, -2642, -4339, -6684?\nAnswer: -9785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81110651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/25)\/m**(-3\/29)*m**(-1\/7)\/(m\/(m*m\/(m\/m**(-2\/3)*m))))**(2\/59) assuming m is positive.\nAnswer: m**(-50732\/898275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063338742 less than -101?\nAnswer: -101.063338742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7203088*l**2 + 3546576 wrt l.\nAnswer: 14406176*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 88 + 41 = -35. Let v = 0 - 3. Sort -1, v, c, 0 in descending order.\nAnswer: 0, -1, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 1 + 7*c + 5 + 0. Calculate the lowest common multiple of v(7) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g**2 + 4*g**2 + 2*g)*(27 + 13*g**2 - 27).\nAnswer: 26*g**4 + 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-54) - 367148\/660996. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 3. Suppose 0 = 5*b - 7*b + 2. Suppose -4*z + 1 = -3*d, 2*z - d + b = -0*d. Let i(s) = -3*s**2 - 6*s - 4. Let p be i(z). Determine h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*h**2 + 209*h wrt h?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3549\/4 (b) 0.2 (c) 7.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -615328, -615290, -615252?\n\"Answer: 38*v - 615366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36395.\nAnswer: 5, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - 6*h**2 + 3*h**2 + h + h**2 - h + 4*h**2 - 4*h**2 + 2*h**2 + (h - 1 + 1)*(3*h + 2*h - 4*h) + 3*h**2 - 3*h**2 + 3*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 18. Let y be m - 147\/(-54)*-21. Let t = y + 124\/3. Calculate the common denominator of 77\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 + 158. Let n = -7183\/20 + 359. Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1091592 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -20*k**3\/3 + 11*k**2\/2 + 9*k. Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/16 - 39\/12) + 15. Do g and 11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -172, -162, 9, 58?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1815*f**2 + 61*f + 3?\nAnswer: 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 48. Suppose -4*b + 189 = u - 66, 5*b - 317 = -3*u. What is the highest common divisor of b and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 70 = -15*i. Suppose -i*y - 461 + 2463 = 0. Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a minute in seconds?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24883323 to the power of 1\/2, to the nearest integer?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnnnn. What is prob of sequence pnp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8397*b + 477 = -8322*b - 573 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1734031, 1734029, 1734027?\nAnswer: 1734025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + i + 2*i + (2 + 3 - 3)*(3*i - 4*i - i) - 2 - i + 2)*(-6 - 2 + 3).\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -47. Let m = -10 + 0. Let x = i + m. Calculate the lowest common multiple of 11 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w\/w**(-2\/17))**(-2\/93))**(5\/19) assuming w is positive.\nAnswer: w**(220\/10013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 288, 346, 406, 468, 532, 598, 666?\n\"Answer: f**2 + 55*f + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 6*z - 3*z + 15, 5*c = 2*z - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12601*b + 7. Let u(q) = -12601*q + 8. Let s(o) = -3*f(o) + 2*u(o). Let r be 7 + -2 + 2 + -2. Let m be s(r). Round m to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2008*v + 3*v**2 + 4*v**2 + v**3 - 78 - 6*v**2 + 2009*v. Let g be m(0). Let x = 170 + g. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(612)*2 + 1 + -1 - (sqrt(51)\/((sqrt(6)*-2 + sqrt(6))\/sqrt(2)) - -5*(sqrt(425) + 2*sqrt(425) + sqrt(425)))**2.\nAnswer: -166612 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1300\/51 or 26?\nAnswer: 1300\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141612 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = j - 4*j + 29, 3*m = 6. What is the smallest common multiple of j and (3 - 0)\/(3\/2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2148125222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. What is the second derivative of 0*l**3 - q*l + 2 - 5*l**3 - 2 wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 5 + 8)*(-4*q**3 - 12484*q**2 - 11 + 12484*q**2) in the form z + i*q**2 + o*q + n*q**3 and give n.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3455168 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 571.688 tonnes?\nAnswer: 571688000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2620317 is divided by 2060.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/7)\/((24\/(-12))\/(-38))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 523320 divided by -49\nAnswer: -10680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-1)\/(-2))\/(-4). Let s(x) = x**3 - 9*x**2 - x - 10. Let z be s(9). Let f = -19 - z. Which is the nearest to -0.2? (a) f (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21641 rounded to three dps?\nAnswer: -0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38612 (base 10) in base 2?\nAnswer: -1001011011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.02526, -3201 in ascending order.\nAnswer: -3201, -0.5, 0.02526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 11. Let m(p) = -4*p - 2. Let h be m(1). Let l be n(h). Solve 4*w + 3*f + 27 = 0, 2*f - 10 = l*w + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0 - 1. Let v be m\/(1\/2 - -2). Let t = 202 - 196. Which is the nearest to t? (a) v (b) 1\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose 0*h + 16 = h - 3*y, -h - 12 = t*y. Factor 2 + 1 - 2*k**2 + k**h - 2.\nAnswer: (k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1447764*p**2 + 1443479*p**2 + 0*p + 0*p.\nAnswer: -4285*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 325*i + 2. Let w(o) = -5*o**2 + 48*o. Let g(n) = -n**2 + 8*n. Let v(d) = -6*g(d) + w(d). Determine v(c(j)).\nAnswer: 105625*j**2 + 1300*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o - 0. Suppose 0 = -g - 5*p + 27, -g = -o*p + 7 + 11. Suppose 0 = -5*c - 3*x + 7, -4*x + 8*x = -3*c + g. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 389?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 518*n**2 + 10*n - 9. Let x = -209 + 210. What is the hundreds digit of k(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16632 = -218*h - 46*h for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 31 + 86*n**3 + 478 - 2*n**2 - 397.\nAnswer: 86*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7826)\/(-42) - (-4)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 0.1, -3\/17, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -350 - 0.037.\nAnswer: -350.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 11*o**2 + 2*o - 2. Let r be f(11). Is (r - (2 + -1))\/1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by 5694885?\nAnswer: 10\/379659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13312112 (base 4) in base 8?\nAnswer: 76626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3912 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -573 - -4300. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 14, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 616*k + 224. Let n(f) = f + 6. Let u(h) = 16*n(h) + t(h). What is the derivative of u(c) wrt c?\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigqgeqegqrrggiii. Give prob of sequence ggei.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 0*h)*(0*h - 2*h + 0*h)*(8 - 39 - 41).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -468*f + 29662. Calculate g(60).\nAnswer: 1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177213731?\nAnswer: 177213731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292.28 - 266. Let c = x - 19.2. Let o = c - -0.02. What is o rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k - 38. Let l = -34 - k. Let p(v) = 3*v**2 + 7*v + 2. Let b(n) = -n**2 - n. Let o(y) = -2*b(y) - p(y). Give o(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Suppose 4*q + 155 = -253. Let l = q + 97. Put l, u, -9 in descending order.\nAnswer: u, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 16. Let f = 9709 + -9713. Give z(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -241, -1, -5 in decreasing order.\nAnswer: -1, -5, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-45) + 104\/5. Let g be 14\/w + (-12)\/(-9). Let z(y) = y**3 - 5*y**2 + 2*y + 1. What is z(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, 0.5, 10.3, -0.71, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 77 (b) -2\/13 (c) -2 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30776 - -31316. What is the smallest common multiple of x and 2910?\nAnswer: 52380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 273 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3088 is divided by 985?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 6*m + 75. Suppose -m = 5*h - 8*h. Let y = 1 + 1. Solve -7 = y*s + 4*n - n, -5*s = h*n + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13966 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j + 5*j + 0*j + 4*j)*(-182*j**3 + 29*j**3 + 2*j**2 + 42*j**3).\nAnswer: -1998*j**4 + 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40965734 to the power of 1\/2, to the nearest integer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/19, -2\/7 in descending order.\nAnswer: 2\/19, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*k**3 - 113*f*k**2 - k**3 + 89 wrt f?\nAnswer: 3*k**3 - 113*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363872403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121486 and 242098?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -1137, -2949, -5497, -8781, -12801?\nAnswer: -17557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 - 4*n. Let q(t) be the first derivative of 3*t**4\/4 + 5*t**3\/3 - 9*t**2\/2 + 25. Give 2*q(f) - 5*s(f).\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**4 + 4*w**3 + 2*w**2 - 2*w. Let g(x) = -4*x**4 + 9*x**3 + 5*x**2 - 5*x. Let j(y) = -5*b(y) + 2*g(y). Find c, given that j(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 496 = -3530. What is the remainder when a is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -49. Calculate the common denominator of -21 and 102\/(-9)*(-9)\/w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -384*r**5 - 3452*r**4 + 2724*r**3 + 26468*r**2 + 20460*r - 216 = 0.\nAnswer: -9, -2, -1, 1\/96, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 50. Let z(h) = 3*h - 51. Determine -3*k(l) - 4*z(l).\nAnswer: -3*l + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 9*n + 2. Let t(k) = k - 1. Let h(l) = 5*t(l) + x(l). Let a be h(-3). Let y = -399 + 409. Solve a*z + y = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-4 - -10) - -2 - 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -3 (c) -5\/23 (d) 0 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393364638 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 103. Let r be 3\/12 - b\/(-8). Let c = r + 8. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let q(o) = 30*o + 27. Suppose 1026 = -9*w - 10*w. Give w*b(k) - 2*q(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 154\/56 + 3\/(-4). Suppose z*c - 11*c - 2061 = 0. Let q = c - -1151\/5. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/5 and 99\/11936?\nAnswer: 59680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g*p**2*r**2*y - 4*g*p*r**3 - 2*g*p*y - 9*p**3*r**3*y + p**3*r**2*y - 5*p*r**3*y - 9*p*y + 2 wrt r.\nAnswer: -24*g*p - 54*p**3*y - 30*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.79 and 24798.2.\nAnswer: 366765.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065607 divided by 3913?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - -0.2. Let h = a + -1. Let x = -93\/7 - -13. What is the nearest to 1\/2 in -3, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80 + 81 - 239 - 3612*j + 78 in the form c*j + i and give c.\nAnswer: -3612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 1499.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5806818 by 8.\nAnswer: 2903409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i + 6, 0 = 4*l + 2*i - 92. Let x = 35 - l. Suppose 0 = -2*r + 3*u + x, 0 = -3*r + 4*u - 3*u + 13. Solve j = 5*t + 10, -r*j + 5*t = 2*t - 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:17 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 1372987?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 22021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 1.99. Let b = -0.6 - v. Let q = b + 1.1. What is q rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 986, 4158, 9516, 17060, 26790, 38706?\n\"Answer: 1093*u**2 - 107*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/13)*(r\/r**(-8)*r)\/r*(r*r**(2\/3))**(1\/15)*((r\/(r\/((r*r**2*r)\/r))*r)**(-17\/6))**9 assuming r is positive.\nAnswer: r**(-10877\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -1 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63846.944623 + 63847. Round k to 4 decimal places.\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, 0, 3, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**3 + 24*h**2 - 9*h + 24. Let k(t) = 2*t**3 + 5*t**2 - 2*t + 5. Let n(r) = -24*k(r) + 5*x(r). Solve n(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -13. Suppose -o*z + 14 = -y, 0 = 2*y + z - 10 + 2. Let h(n) = 0 - 5 - n**y + 2 + 3*n**2. Let t(w) = w**2 - 2. Determine 2*h(d) - 3*t(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 10*w**2 + 9*w + 7. What is k(-8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -19. Suppose 30 + d = 5*r. Suppose 5*u = r + 60. Solve 2*n - 2*x - 18 = 3*x, 4*n + x = u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/11, 14\/19, 192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 2, z: 2, i: 1, f: 1}. Give prob of sequence za.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + (-7 - (1 - (8 + -3) - (-214 - -206))).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3 = -3*p - 12, -4*g - 3*p - 9 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 0 + 0)*(493 - 493 - 27*h)*(1 - 1 + h) as o + u*h + n*h**4 + f*h**3 + k*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8692 + -5997. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166729472 a multiple of 4488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130 * -115.\nAnswer: -14950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mstbszdsmmdzzbmtmdt. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 32*p = -2*h - 10, h + 5 = 2*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40304 divided by -6401.\nAnswer: -40304\/6401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 9*q**2 + 17*q + 72. Give p(12).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 34*q + 3. Let o(x) = -x**2. Calculate o(h(w)).\nAnswer: -1156*w**2 - 204*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/7*u - 16*u**2 - 52\/7*u**3 - 8\/7.\nAnswer: -4*(u + 1)**2*(13*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**8\/1680 + q**4\/8 + 2*q**3\/3 + q**2. Let o(d) be the first derivative of v(d). What is the derivative of o(a) wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2344.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 3683*o + 14738. Determine m(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29634651479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 2 - (-96 - -224) - -24?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 53. Let g(d) = -2*d - 7. Let w be g(6). Let u = w - -29. Solve -c*y = -u*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/(-28)*2\/14*2\/8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147891705?\nAnswer: 3, 5, 13, 281, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*c**2 + 17*b**3*c + 6*b**2*c - 13507*b*c**5 - 237*b*c + b + c wrt c?\nAnswer: 4*b**3 - 270140*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*g - 2 = -6, 5*g - 10 = -5*k. Let c = 11 + k. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 5:08 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 1. Let o be s(1). Let k be (-2)\/(-2)*((-50)\/(-10) - o). Solve 0 = 3*p - 0*p + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10222 + 15845. Is l a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-9))\/((-26)\/975))\/((-65)\/(-78))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 31*g**2 - 37*g - 20. Let o be x(13). Calculate the greatest common divisor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-6))\/(0\/(-2) - -6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938898 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 - -433. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -16, -39, -82, -151?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 13, -64, -173, -314, -487?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114, 253, 384, 501, 598, 669, 708?\n\"Answer: -u**3 + 2*u**2 + 140*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = l - 20, -5*c - 39 + 4 = -4*l. Let h(u) = -u**3 + 5*u**2 + 6*u - 3. What are the prime factors of h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**8)\/o*o)**10 assuming o is positive.\nAnswer: o**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/823 + 1606\/4115. Let w = -8 - -14. Suppose w = 2*v + v. Which is the third biggest value? (a) q (b) -1 (c) -10 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 32*d - 2. Let l be z(1). Suppose p = 5*k + 22, p - 5*p + 12 = -k. Suppose p*h - l = -h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:20 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -9925*t**4\/4 + 2*t**3 + 179*t**2 - t + 3607. Find the third derivative of i(f) wrt f.\nAnswer: -59550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*d - 2*d - 2*d)*(18 - 23 - 9)*(5*d - 7*d - 3*d) + 5*d**2 - 3*d**2 + 0*d**2)*(d + d**2 - d).\nAnswer: 352*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283 + 283. Suppose -4*d + 741 + 1011 = 0. Suppose g = 2*o - d - 410. Calculate the highest common divisor of o and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(220\/8) + (-12030)\/(-22). Let r = -380 + u. Suppose 5*o - 18 = -h + 5, 4*h - r = 5*o. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o)**(-2\/37)*(o**1)**(-24) assuming o is positive.\nAnswer: o**(-2660\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -433995399*g**4 + g - 9427088?\nAnswer: -5207944788*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -127, -0.11, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1584 and 48?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28372 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: What is the difference between 93 and 44993401?\nAnswer: 44993308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g + 10*g**2 + 20 - 19 + 37*g + 6*g - 17*g - 4*g**2.\nAnswer: 6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/1817 (b) 0 (c) 0.2 (d) -2\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose 54 = x*t - 30. Suppose 3*m + 4*u - t = -m, 9 = 3*m - 3*u. Solve 6 = -m*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r**2\/r)\/r*r\/r**(-2)*r\/(r*r\/(r*r**(-1\/7)\/r)*r*r*r)*r**4*(r*r**1)**(4\/17)*r*r\/(r*r\/(r*r**(1\/12)))*r*r\/(r*r**(2\/13)) assuming r is positive.\nAnswer: r**(134723\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 504561.2um?\nAnswer: 504.5612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**2 + 5097 - 2553 - 2544.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:26 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5901 + -0.0501. What is r rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 78 = -50. Which is the nearest to i? (a) -1\/4 (b) -0.04 (c) -4\/11 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyys when four letters picked without replacement from yyysysssyyysyyyyyys?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10*(4 + 65\/(-10)). Let y(n) = 2*n + 4 - 2 + t*n - 5. Let i(w) = 1. Calculate 3*i(l) + y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.39436 - -1.434. Let z = -3 + 2.96. Let i = x + z. What is i rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 262332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 + 4*f + 6. Suppose -59*u + 43 = 279. What is l(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**2)))**(26\/9)\/(a**(-2\/3)\/(a**(2\/7)\/a*a)) assuming a is positive.\nAnswer: a**(-122\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 14. Suppose 0 = -j*h + 2*h + 25. Solve 0*l + 2*q = 3*l - h, -3*l + 3*q = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.82 + 0.18. Let x = 2.1 - 2. What is the nearest to x in 4, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**2*d))\/(d*(d\/(d\/((d**(-2)\/d)\/d)*d))\/d*d))\/(d**2)**33 assuming d is positive.\nAnswer: d**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:18 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and 58693604.\nAnswer: -10564848.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 2*w + 3. Let d(g) = -13*g**2 - 6*g + 10. What is -7*c(i) + 2*d(i)?\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73160278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -365388 and 2.5.\nAnswer: -913470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - k + 1)*(-1 + 1 - 2*k) + 3 - 3*k**2 - 3 - k**2 + 0*k**2 + 3*k**2 in the form t*k**2 + c*k + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pabjuaj. What is prob of sequence up?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088295*5.\nAnswer: 5441475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.3 - -9.96. Let g = -0.84 - a. Put -4, -3, -5, g in increasing order.\nAnswer: -5, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -30.6. Which is the nearest to -1\/2? (a) 2 (b) 42 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1112 - 722. Let t = 579 - y. Calculate the least common multiple of 18 and t.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106434 and 39096.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6173, -12344, -18517, -24692, -30869?\nAnswer: -37048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-33))\/((-1)\/9). Let q be (x - 3)*(-2 + 1). Suppose c - 140200 = -c - 3*h, 2*h = q. What is c rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2 + 0 + -1. Let c = -11 - 20. Let n = c - -41. Solve -2*f + n = -m*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-91) + 27\/70. What is the nearest to -1 in -3, 0, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0 + 4. Let y(q) = -2*q**2 + q + 50 + 53 - q**3 - 103. Calculate y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Suppose -t*r + 3 = -r. Sort r, -5, 5 in descending order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/140462 and 36\/33733?\nAnswer: 8568182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 252*m = 247*m - 20, -2*y + 23 = 3*m for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 28. What is the units digit of (b\/9)\/((-3)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -714 + -516?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470 divided by -260.\nAnswer: 47\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 701607*g**2 - 2806392*g + 2806380.\nAnswer: -3*(g - 233865)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 7434*t**2 + 20 - 3 - 3*t + 7 - 7439*t**2.\nAnswer: -5*t**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/70*(-480)\/200.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130 (base 6) in base 13?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*x**2*z**2 + 1218*x**2*z + 64*x*z**2 + 3*z**2 + 13 wrt x?\nAnswer: 292*z**2 + 2436*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/3*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 10. Let n = 65 - y. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 10, 0.01, -0.3, 2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)*j*((j**(-15)\/j)\/j)\/j assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + u + 8 = 0, 8 = -688*d + 689*d + 3*u. What is the nearest to d in 0.1, 5, -0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*h**3 - 60*h**3 - 70*h**3.\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 1168770996558.\nAnswer: 1168770996557.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 207.\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 3*b - 4. Let f = -265 + 268. Let h(n) = -n**2 + 2*n + 4. Determine f*r(w) + 4*h(w).\nAnswer: 2*w**2 - w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (162\/(-81))\/(6\/(-67071)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -50*t + 6902. What is the remainder when t is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 128873407 and 0.064.\nAnswer: 128873407.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -1 - (-2)\/(-1). Let m(k) = k**3 + 5*k**2 + 3*k - 2. Give m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9512 = -695*c + 531*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -1, -4, -2 in ascending order.\nAnswer: -4, -2, -1, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 49*q**2 - 203*q + 201. Give z(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 + 10*k**2 - 5*k = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = s + 1 + 5, 2*c + s = 1. Let p be 460\/(-8) - c\/(-2). Let j = 176 + p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*j - 15*j - 14*j + 340 - 9*j to s*j + i and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175000*j**2*w + 77*j**2 + j*w - 4659525*j wrt j.\nAnswer: -350000*w + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 796 - 801. Let h(r) = -r**3 - 5*r**2 + r + 5. Determine h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n = 0. Suppose -5*m = k + 16, 0 = -4*k - n*k + 2*m + 24. Suppose -r - 3*r = -k. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 2*s + 14. Suppose -30*u + 7*u + 69 = 0. Suppose 4*l - 9*l = u*o + 30, o + 6 = -l. Determine n(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {j: 1, n: 2, u: 2, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3031 + 8894. List the prime factors of l.\nAnswer: 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/13 - -23\/117. Let d = 0.2 - 0.4. Let g = d + 1.2. Which is the biggest value? (a) g (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5230305 + -1551?\nAnswer: -5232056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 1844.\nAnswer: 25\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 0 + -1*sqrt(300))*-3 + sqrt(300)*3 + -3 + ((1 + sqrt(300))*4 - sqrt(300)))*1)**2.\nAnswer: 720*sqrt(3) + 24316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 224, 326, 424, 518, 608, 694?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 0.5, -0.4 in descending order.\nAnswer: 0.5, -0.4, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1142?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t*t**(3\/10))\/t)**(2\/35) assuming t is positive.\nAnswer: t**(33\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18574*r - 11601?\nAnswer: 18574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1409428 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/20*10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2585251 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 253.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -717\/5 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*c = 40*c - 4192371. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 102128631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 4*o - 33 = p, 12 = 4*o. Suppose -54 = 3*m + p. Let u(l) = l**2 + 20*l + 32. What is the tens digit of u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 minus 16737.72?\nAnswer: -16737.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 682.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 75 = -6*m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2385150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16))\/((-91)\/6552).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650914.3 years to months.\nAnswer: 7810971.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264*m**6 + 731324*m**5 - 105*m**2 - 4969*m + 31 wrt m?\nAnswer: -31680*m**3 + 43879440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-5)*(-100)\/8. What is the derivative of -x*a + 6 - a + 8*a wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h + 8. Suppose 2*c - 2*j - j - 3 = 0, 3*c - 2*j = 2. Solve 2*o = 4*y - 8, -h*y + 4*o + 5 + 11 = c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 2. Let i = -20 - -22. Determine n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyt when four letters picked without replacement from {y: 3, t: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 + 2*m**2 - 6. Let h(z) = z**3 + 1. Let l(y) = 5*h(y) + q(y). Suppose 6*f - 8*f = -2. Let j be f\/(3\/(-7 + 4)). Give l(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.387829 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7) + -3 + -3 - (-1 + sqrt(7)*-3 + sqrt(7))))**2.\nAnswer: -120*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 890, -1, -4, 2 in descending order.\nAnswer: 890, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 618 - 401. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:57 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30015152 and 6.\nAnswer: 90045456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 + 2. What is the common denominator of (r - (-365)\/(-30)) + 1\/(-3) and 67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/5744620 and -7\/10.\nAnswer: 5744620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5))**(-3\/17) assuming b is positive.\nAnswer: b**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122463 * -1.\nAnswer: -0.122463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.85 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411319 is divided by 175?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(1100) + 0)*2)**2.\nAnswer: 79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 316\/13, -3, 65\/2, -1\/10, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 = -15*p - 780 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + (-128)\/(-10). Suppose 0 = t*n - 932 + 61. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11655, 113, -3 in ascending order.\nAnswer: -11655, -3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 545 = 59. Let f(p) = p + 8. Let d be f(-6). Suppose c = -d*n + t, -4*n + 42 = c + n. Calculate the remainder when 32 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 9*w**2 - 5*w - 17. Let a = -9 + 0. Is 4 a factor of r(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 3*a + 2. Let d be r(0). Solve -5 - 1 = -d*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 4*n - 14. Let u(c) = -c**2 - 2*c + 7. Give -3*t(m) - 5*u(m).\nAnswer: -m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/26 and -19\/5954?\nAnswer: 5954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21555177 or -21555162?\nAnswer: -21555177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/2 - 7475*t + 1431045\/2.\nAnswer: 5*(t - 2891)*(t - 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13022*g**2 + 32*g**3 - 13022*g**2)*(-4 - g + 4) + 6*g**4 - 3*g**4 - 2*g**4 - 60*g**4 + 73 - 73.\nAnswer: -91*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2548 + -598. What is l rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 7:56 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/52)\/((-9)\/36)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 237 = 4*c - 155, -2*b - 3*c + 117 = 0. Solve 55*l - 20 = b*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w**4\/4 - 495*w**3\/2 - 954*w**2 - 1617*w\/2 - 387\/4 = 0 for w.\nAnswer: -43, -3, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, l: 1, t: 2, k: 4, v: 1}. What is prob of picking 1 k and 1 t?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 3*r + 2. Let b = -610 + 605. Determine c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 2*s - 391. What is the remainder when s is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*s + 5*c*s**2 - 263*c - s**2 + 204 with respect to c.\nAnswer: -2*c*s + 5*s**2 - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890141485 to the nearest integer?\nAnswer: 29835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-12))\/(30\/126))\/(6\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 82. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**13*r)\/r*r)\/(r*r\/(r\/r**(5\/7)*r*r)*r)*(r**0)**(-21) assuming r is positive.\nAnswer: r**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.223 and 18?\nAnswer: 4.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57503993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, 4, 5 in ascending order.\nAnswer: -317, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163099\/4218 - 1\/1406. Let b = n + -39. Let s = 6 - 3. What is the third smallest value in b, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 8. Let y(b) = -9*b**2 + 11*b - 33. Let k(h) = -8*h**2 + 10*h - 30. Let a(w) = -11*k(w) + 10*y(w). Give a(i(z)).\nAnswer: -18*z**2 + 96*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v**2 - 2*v + 3. Let w(l) = 53*l**2 - 8*l + 13. Determine -9*b(q) + 2*w(q).\nAnswer: -11*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/211 - -3243\/5486. Calculate the common denominator of 56\/5 and n.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189*w - 554*w + 2459*w + 2 - 2)*(2*w - w - 2*w).\nAnswer: -2094*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + a0a1?\nAnswer: a154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27722872 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j - 10. Suppose 5*l - j = 3*z, -2*l - 3 = 3*z - 7. Solve f + 3*b = -2, -f + l = -4*b - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31140440 (base 5) to base 16\nAnswer: 3e701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8138988 by -396.\nAnswer: -20553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -245, 14617, 29479?\n\"Answer: 14862*z - 15107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.4329067 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15869, -17500, -21939, -30590, -44857, -66144, -95855, -135394?\n\"Answer: -234*o**3 + 7*o - 15642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 1, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44063 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31117530 rounded to the nearest ten thousand?\nAnswer: 31120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 18*v**2 + 18*v - 15. Let o be f(17). Sort -1, 0, o, 1 in decreasing order.\nAnswer: o, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 21*h - 113. Determine z(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -171?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 964502 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*k + 7*k**3 + 0 + 2 to the form u*k**3 + d + b*k + t*k**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(3\/7)))\/r**13)**(-35\/3) assuming r is positive.\nAnswer: r**(475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 5, r: 8}. Give prob of picking 3 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3007 + 196\/(-28). Suppose -v = 39*f - 42*f. What is the greatest common divisor of f and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 + -273?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2307482, 2307459, 2307426, 2307383, 2307330?\nAnswer: 2307267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1588209 (base 10) to base 3.\nAnswer: -2222200121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 4:00 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 644 - 257. Suppose 8*d - 69 - h = 0. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:56 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24540, 41874, 59208?\n\"Answer: 17334*m + 7206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -230*j**3\/3 - 11. Let f(s) = s. What is f(w(d))?\nAnswer: -230*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from egebbwvbebwww.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 7*w**2 + 6*w + 4. Let u be p(6). Let a = -6 - -8. Let q be 12\/42 - 0\/a. Sort q, 1, u in ascending order.\nAnswer: q, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine thirds of a minute in seconds?\nAnswer: 1580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119152324 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12145 or -12144?\nAnswer: -12144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*j + 165*j + 508 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12*(-2)\/(-3)*-18. Suppose w*b + 844 = 4*b. Let i = b + 1549. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 31. Let q = 0.53 + -0.5. What is the smallest value in -4, q, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 - -83. Factor -17*o**3 - 3*o + 29*o**r - 15*o**3 + 6*o**2.\nAnswer: -3*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6426979327.\nAnswer: 47, 59, 151, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 409*s**2 + 30*s + 144. What is the hundreds digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1285 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + o + 1421, -4*o = -5*o + 3. List the prime factors of i.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30165 + -25731. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*a - 179 + 99 = 0, 0 = 2*i - 3*a - 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssggjssssgjssssss. What is prob of picking 2 s?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 11757 = 11*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 213\/158063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d85 - d99?\nAnswer: fec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 48573?\nAnswer: 7771680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 3. Let w be m(1). Suppose 0 = 2*v + 4*p - 140, -w*v - 3*p + 54 = -231. Suppose -3*l - 9*l = -v. Solve 14 = -4*d - d - 3*r, d = -5*r + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = -34*b + 40. Let q = -78 + 81. Solve -q*y + b - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -23. Suppose -5*t + 5 + 15 = f. Suppose 0 = -3*q - 4*a + 310, -3*q + t*a = -313 + 11. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3213 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m + 10. Let i be f(-3). Let p = -377\/11 + i. Let d(c) = -c**2 - 2*c + 1. Let a be d(-2). Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 - 3915400*b**4 + 15661540*b**3 - 15661520*b**2 = 0.\nAnswer: 0, 2, 783076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let r be z\/(-5) + (-4)\/(-5). Differentiate -r - 2*u + 0 + 3*u wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129657?\nAnswer: 229, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 15. Let p be v(9). Is 10 a factor of (2 - (-10)\/p)*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -19. Let x be 6\/9*26*o\/(-2). Let y = x + -25. Solve p - 4 - y = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3*h**5\/20 + 3*h**4\/4 + 3*h. Find the third derivative of p(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f - 150*f - 31*f + 247*f + 3 - 3.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -23*j + 299. List the prime factors of j.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245)*-4 + -5)) + sqrt(245))**2 - (sqrt(245)*4*-1)**2 - (sqrt(245) + sqrt(245) + 2 + 1 + -5*sqrt(245)*-1)**2.\nAnswer: -7089 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292*r + 3113 - 3111 - 4*r**2 + 4*r**2 - 2*r**2 to the form n*r + c + b*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l - 49 - 3 = 0, -o + 2*l + 4 = 0. What is the common denominator of ((-77)\/(-38) - 2)\/(o\/(-238)) and 87\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 27*w + 20 = -23*w, -2*w - 10 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 3*x**3 - 2*x**3 + (6*x**2 - 6*x**2 + 5*x**2)*(0*x - x - x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -8, -2*l = -2*f + 17 + 3. Suppose d + f*y - 3*y + 10 = 0, 19 = 2*d - 3*y. Solve -5*i = 2*r + 1 + 1, -5*i + d*r - 30 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 136300992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1573635918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/((-4)\/(-20)). Let z(q) = 6*q**4 + 2*q**3 + 2*q**2 - 2*q - 4. Let b(d) = 7*d**4 + d**3 + d**2 - 3*d - 5. Let p(l) = h*z(l) - 4*b(l). Factor p(j).\nAnswer: 2*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/15*j**2 - 2\/15*j**3 + 2\/15*j**5 + 2\/15*j**4 + 0*j.\nAnswer: 2*j**2*(j - 1)*(j + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2349 + 2351. Solve 0 = -5*g + 5*h + 56 - 16, -6 = i*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 5*t**3 + 3*t**3)*(10*t - 9*t - 5*t).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081676 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -5 (c) 3.9 (d) -3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 304*u + 12219. Determine p(-340).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Suppose n*f - f = -2. Differentiate 0 + f*k - 7 + 2 with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 55440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181\/7 in -19, -3, -1.8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, -12, 1\/10, -2, -8, -3, 5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 0*v + 2*v**2 + 0*v**2 - 269 - 3*v**2 + 265 - 18*v**3 to o*v + i*v**3 + w*v**2 + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.1076+-2332043.9\nAnswer: -2332046.0076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 2 - 2 - j. Let s be 8\/7 + (-6)\/42. Let k be v(s). Solve 2 = -2*a + 3*y, 18 = -k*a - y - 0*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/135048 and 61\/5958.\nAnswer: 405144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -24) + (-31)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*15\/(-10)*(-4)\/(760\/50)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -44. Suppose -f*k + 14*k = 9354. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 582.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-5 + -1 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 2. Let u be h(11). Let o(j) = u*j - 64*j + 2*j**2. Let i(g) = 2*g. Let r(v) = 3*v. Let a(n) = -4*i(n) + 5*r(n). Calculate o(a(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00618955633 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 4 = -8*v. Solve -2*a - 3 = -v*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -222 + 23 + 24 + 173 - 5103*k as o + s*k and give s.\nAnswer: -5103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 791992181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:44 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -28 + 2*a**2 + 49 + 0*a**2 - 24 + 3*a. Let h(s) = s**2 + s - 1. Suppose v + 2*v = -9. Calculate v*h(d) + w(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*q + 2*w + 3*w, 0 = 4*q - 5*w - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 82*r - 1955. Let o be a(24). Solve -5*b = o*b - 54 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2. Let c(p) = -14*p**2 + 8*p + 8. Let z(o) = 5*o**2 - 3*o - 3. Let t(q) = 3*c(q) + 8*z(q). Calculate s(t(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -2*l + 51. Let o = 75 + l. Suppose 3*u - 4*b = 4*u - 4, o = -2*u - 2*b + 38. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + k + 5*k + 0*k + 3*k - 4*k + (-291*k - 257*k + 603*k)*(0 - 2 + 3) + 0*k - k + 3*k + (5*k + 0*k - 4*k)*(-1 + 4 - 1).\nAnswer: 59*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1113605?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203.4 + 163. Let u = -45 - s. Let m = -5 - u. Which is the nearest to -2\/3? (a) 0.3 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695 - 941971022?\nAnswer: -941968327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 5*a = 11, 3*a = j + 1. Let t = 3 - j. Suppose q + 3*o = 65, 564 = 5*q - 3*o + 167. What is the greatest common factor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/234*(-44109)\/(-234)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1\/3, 2, 0, 5, 210.\nAnswer: -27, -1\/3, 0, 2, 5, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 + 38*t**2 - 10*t + 3. Let q be p(-9). Solve -k - 249 = -q for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 43*g**2 + 7*g - 33. What are the prime factors of q(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q**2\/q))\/((((q\/((q**(-3\/2)\/q)\/q))\/q)\/q*q)\/q*q*q\/(q*q**4)))**42 assuming q is positive.\nAnswer: q**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + t + 62. Let f be c(0). Put 1\/4, f, -0.2 in increasing order.\nAnswer: -0.2, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*f)*(2 - 2 - 2*f**2) - 2*f**3 + 4*f**3 - f**3 - 2*f**3 + 4*f**3 - f**3 - 4 - 3*f**2 + 21*f**3 - 5*f**3 + 2.\nAnswer: 22*f**3 - 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-19)\/((n**(-6)*n)\/n) assuming n is positive.\nAnswer: n**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 157, 381, 685, 1063, 1509, 2017, 2581?\nAnswer: 3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 55.8 times 0.2654225\nAnswer: 14.8105755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*h - 6652, 34*j + 2204 = 35*j - 2*h. Does 54 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-11)\/(33\/(-120)). Calculate the greatest common factor of 100 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61468383 equal to 61468382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2 - 0)\/(-2). Suppose 0 = 3*v - 2*s - 151, k = 3*v + 3*s + 5 - 131. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Let j(z) be the first derivative of z**2 + 8. Give j(l(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 76138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/3 + 296150*u\/3 + 1480600 = 0.\nAnswer: -148060, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/15))**(-35\/4)\/(g**(6\/17)\/(g*g\/((g\/g**(-6))\/g))) assuming g is positive.\nAnswer: g**(-769\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/17? (a) 1\/9 (b) 3 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4604?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**7\/210 - s**5\/40 + 4*s**3\/3 - 1. Let t(q) be the third derivative of j(q). Find the second derivative of t(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)*r**(-18)\/r)\/(r*r*r**(-26)*r*r**(-8)*r) assuming r is positive.\nAnswer: r**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 1064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -473*(-7)\/(-5929) - 4\/(-14)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 4*y + 48. Let p be i(-16). Suppose -4*x - p = -4. What are the prime factors of (-4498)\/x - 9\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 m when four letters picked without replacement from cwmsqcmmmmcmqqmqm.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*y + 8*y. Let r = -7 + y. Is 0 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14795 (base 13) in base 6?\nAnswer: 454542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + b = 0, -4*l = -l + 5*b. Let n = 6385 - 6384. Solve -2*y - 2*o = 3 - 5, y - o - n = l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20*(10\/(-8) - -2). Let m = 32 - u. Suppose w + 2*x - 5 - 3 = 0, 0 = -4*x + 12. Solve g - 12 = -w*g, -2*g - m = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h**2 - 9. Let m(y) = 4 - 18*y + 6*y**2 + 18*y. Let d(j) = -4*k(j) - 9*m(j). Let f(c) be the second derivative of -c**4\/6 + c. Calculate f(d(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 k when three letters picked without replacement from {y: 2, p: 2, a: 1, k: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = -v + 28, 5*v + 3*j = 210. Calculate the remainder when v is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266.7 + -266. What is the second smallest value in b, 5, 1, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and -17\/138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 482343\/2780352 - (-20)\/(-90). Let t = c + 3\/1609. Do t and 1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssussyssssxsyxcscyc. What is prob of sequence cu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*t + 16 = 0, -t = -4*g - 4*t - 12. Find the first derivative of -5*r**4 + g + 2 + 0 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3\/8*c**4 - c**2 + c**3 + 7*c + 0. Find r, given that q(r) = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11898 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2430 + 4907\/2. Find the common denominator of g and -89\/730.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13)**(3\/22) assuming q is positive.\nAnswer: q**(39\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352534.9 kilometers to centimeters.\nAnswer: 35253490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from nnsnxippwnwiss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i = 318 + 172 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255.29 - -5.71. Let i = f + -273.3. What is i rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y - 15*p + 11*p, 3*p = 5*y. Let u(n) = -n**3 + n + 1. Let r be u(0). Which is the smallest value? (a) r (b) 2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2574945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 20a5368?\nAnswer: 20a5366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-94)\/(-7))\/(7 + (-5 - -4)) and 53\/231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*q + 10, 4*v + 9 - 35 = 5*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, -0.37?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49205*2\nAnswer: -98410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -5*a**2 - 2\/5*a**3 + 0 - 9*a - 88\/225*a**5 - 7\/12*a**4 - 16\/225*a**6. Determine b, given that h(b) = 0.\nAnswer: -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -7\/60*q**6 + 0 + 0*q + 0*q**4 + 0*q**3 - 39*q**2 + 1\/210*q**7 + 221\/60*q**5. What is the third derivative of r(g) wrt g?\nAnswer: 24*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4)*(-2*x - x + 5*x) + (x - 4*x + 4*x)*(4 + 0 - 1) to k*x + o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 38. Suppose 7*u - 20 = k*u. Let b(n) = n**3 - 8*n**2 + 18*n - 5. Calculate the remainder when b(u) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3219545 is divided by 8406?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2459230.\nAnswer: 1\/1229615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19556393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101200010 (base 3) in base 5?\nAnswer: 1334322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*r + 20 = c, 3*r = 4*c - 23. Let k = 7671 + -4706. Suppose 7*u - k = c*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/4 - 154\/(-32) and 65\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 24460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226162.8cm to millimeters.\nAnswer: 2261628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2 - 2. Let y(m) be the first derivative of -11*m**3\/3 + 41. Give q(y(w)).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 24253 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12488610 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 484 in -2231, 1\/2, -10\/11, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3662, 7321, 10980, 14639, 18298, 21957?\n\"Answer: 3659*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109910 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26500066 or -132500328\/5?\nAnswer: -26500066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**(-6\/7) assuming q is positive.\nAnswer: q**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 40.1. Let i = w + -2.1. Let f = -121.7 - -122. Which is the nearest to i? (a) f (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 19*i - 48. Let d be k(-6). Calculate the greatest common factor of d and 6018.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 + 7. Let z(r) = 2*r**3 + r**2 - 6. Let g(n) = -4*w(n) - 5*z(n). Is 23 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 5, -194, 206.\nAnswer: -194, -4, 5, 7, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 2*i**5 - 3*i**5 + (0 + 0 - 2*i)*(-5*i**4 - 2*i**4 + 0*i**4).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/5 + 1626*d**3\/5 + 9702*d**2\/5 + 14534*d\/5 + 6456\/5 = 0.\nAnswer: -807, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.1 + -5. Which is the nearest to t? (a) -5 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-18)\/(-45) - (-16)\/60)*(-8 - 19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*p - 38, -5*o + 10086*p - 10084*p = -37 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:53 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.219 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 51858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -16. Let s be (-785)\/1750 - 3\/u. Let t = s + 27\/100. Which is the nearest to 2\/3? (a) 1\/2 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:03 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 83, -18\/11, 2\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + 2) - (-4 - -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44052 + -22739. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t. Let q(p) = 17*p**2 - 17*p**2 + 11*p**3 + 6*p. Let c = 66 + -72. Calculate c*r(f) + q(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) 2 (c) -0.3 (d) -27.91 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79307425 is divided by 19826855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/x**(1\/17)))*x))**34\/((x\/(x*x**(2\/39)\/x*x))\/(x*x*x*x**(-16\/3))) assuming x is positive.\nAnswer: x**(-1337\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2 + 1)*580\/2900. What is the second smallest value in 5, -0.018, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76) + (sqrt(76) - (-1*sqrt(76) - sqrt(76))**2 - sqrt(76)) + 4 - (((0 + sqrt(76))*-1 - sqrt(76)) + sqrt(76)))*1.\nAnswer: -305 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 36*w**2 + 70*w + 116. Determine u(-34).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {j: 2, m: 2, u: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40160 and 24160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5472.209mg in kilograms?\nAnswer: 0.005472209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*o**2)*(-7*o - 2*o + 19*o)*(3*o**2 - o**2 - 6*o**2).\nAnswer: -80*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + 3*l)*(-9*l + 13*l + 29*l) + (3*l - 6*l + 0*l)*(5 - 5 + 2*l) + 2*l**2 - 2*l**2 + 1 - l**2.\nAnswer: -73*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27423396.\nAnswer: 2, 3, 7, 11, 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 + 64*x + 1401. Determine k(20).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.6 (b) -2\/97 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.3 (c) 1\/194340 (d) -1 (e) 3 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293787253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (45 - 2 - (45 + -88 - -47)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:21 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -149 - 43. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*p + 4*p. Let x be (-2)\/p + 1010\/15. Suppose -4*s + 79 = -3*o, -o - 3*o = -3*s + x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1780 + 0.4\nAnswer: 1780.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = x + 5*a - 80, 0 = -4*x - 3*a + 165. Is -12 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + -2)*6 - sqrt(833) - (sqrt(833)*-6 + 4)) + 3)**2.\nAnswer: -2002*sqrt(17) + 100962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 4, 5, -4 in decreasing order.\nAnswer: 5, 4, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 26640*x - 34 = 5*r + 26646*x, -138 = 19*r + 4*x + x for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 28046 - 28026 = 5*m, -4*v - m = 38 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k + 15. Let a(o) be the third derivative of -o**6\/120 - 3*o**5\/20 - o**4\/12 - o**3\/6 - 2*o**2 - 25. Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, -2096, 0, 2 in descending order.\nAnswer: 27, 2, 1, 0, -2096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1489 or -1480?\nAnswer: -1489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzrz when four letters picked without replacement from {z: 3, r: 4, x: 1, h: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2 + x + 2) - x + 4 - 4.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/7, -42477, -9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + q**2 - q**2)*((-1 - 5 + 4 - 2 - 2 + 2 + (0 + 0 + 2)*(-4 + 5 + 0))*(5 + 20 + 1) - 6 + 3 + 4).\nAnswer: -153*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121584 or -17?\nAnswer: -121584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 378, 567, 756, 945, 1134?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeoc when four letters picked without replacement from iooieiicdiee.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714738.\nAnswer: 2, 3, 139, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:45 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 - 11*s + 11. Let o(b) = 11*b**2 + 88*b + 7. Let v be o(-8). Determine m(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 52*b + 52*b + 2*b**3)*(-2*b + 5 - 5) to w + p*b**2 + n*b + u*b**4 + q*b**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*w + 1988 = -131*w - 6316 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/(z\/(z\/(z\/((z\/(z\/(z**(-2)*z)))\/z)))*z)*((z\/z**3)\/z*z)\/(z*z\/z**3*z)*z\/(z*z**(3\/2))*z*z**(2\/7)*(z**8*z*z)\/(z\/(z**4\/z)) assuming z is positive.\nAnswer: z**(53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 7. Suppose 5*d - 1430 = -z*i, -245 - 327 = -2*d - 2*i. What is the highest common divisor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l - 80. Suppose -4*f + 0*v + l = -3*v, -4*v + 2 = 3*f. Let h be 7 - 6 - 0\/(-1). Sort -1, f, h.\nAnswer: -1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107 + 3a127a8?\nAnswer: 3a128b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:15 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -8. Suppose -5*o = h, 3*v + o + 6 = -0. Let r(b) = -4*b**3 - 4*b**2 + 3*b + 2. Let t(y) = -y**3 - y**2 + y + 1. Determine v*r(j) + 2*t(j).\nAnswer: 2*j**3 + 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**6)**20*(o**12*o)\/o**(-14) assuming o is positive.\nAnswer: o**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**3 + 24*u**2 + 7*u - 89. Calculate f(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1616 = -4*f + 5*q, -4*q - 966 = -2*f - 164. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -256 (c) -636.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 8:07 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6568\/7 + -938. Factor 0 - f*n**3 + 0*n + 12\/7*n**2.\nAnswer: -2*n**2*(n - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4\/3, -0.1, -5, 132, 5 in increasing order.\nAnswer: -9, -5, -4\/3, -0.1, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41180*b**4*g*w - b*g*t*w + 1595*g*t*w - 185*g*t wrt b?\nAnswer: 164720*b**3*g*w - g*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 228*v = -225*v + 24, 83 = 2*p - 13*v for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 20*t - 16. Let h be b(-6). Let j = 285 + h. Suppose -163 = -8*p + j. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 52, 101, 180, 295, 452, 657?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d4 + -9?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.93494km to millimeters.\nAnswer: 24934940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4. Let m = -9 - -3. Let q be -9 - m - (0 + -1). Let s(f) = f + 1. Give q*s(g) + j(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -3 (c) -0.3 (d) 1285 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 + 95 = 9*n. Let l = n + 152. Let a be (1 + 0)\/(20\/l). Solve 0 = a*g + 23 - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1646*r + 1664*r - 3213*r as s*r + p and give s.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8) - (-5)\/2. Suppose -3*b + p*m - 9 = -4*b, -2*b - 3*m + 12 = 0. Suppose -4*y + 59 = -2*f + b*f, -3*y = -f - 39. Solve -6 = 5*s + y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8960)\/(-81620) + (-7)\/77\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 3*t + 650 = 16*u, -2*t = -5*u + 3199. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010202111100 - 11?\nAnswer: 1010202111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 18*z - 88. Calculate f(20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44900?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -60.37*53\nAnswer: -3199.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let x(w) = -w. Let n be x(-12). Find the third derivative of -188*s**3 + 188*s**3 - k*s**5 - n*s**2 wrt s.\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51\/8*k - 99\/4 - 3\/8*k**2.\nAnswer: -3*(k + 6)*(k + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k - 5. Let w(r) = 83*r**2 + 2*r + 1. What is the remainder when w(k) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -560?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:58 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 543430 (base 7) to base 12\nAnswer: 46ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {l: 2, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 - -281. Find the third derivative of b*z**2 - 13*z + 15*z**5 - 4*z**2 - 41*z**5 - 6*z + z**2 wrt z.\nAnswer: -1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 7, 1307, 1, 0.099?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**4 + 20*x**3 + 16*x**2 = 0. Calculate x.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -825, 5, -275, 62 in descending order.\nAnswer: 62, 5, -275, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-334 - -317) + (-15 - -2) - (-5 + (-4 - -7))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4128 divided by 3?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 192149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 8, 31, 72, 137?\n\"Answer: p**3 + 4*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 21060 = -8*h - 23*h. What is the least common multiple of h and 273?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5)\/(10\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18748 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose -3*a + 8*a - 10 = 0. Let r(q) = a - 2 - v*q**2. Let n(b) = -2*b. Calculate r(n(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 201.535t?\nAnswer: 201535000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -3*d + 1\/5*d**2 - 1\/105*d**7 + 0 + 1\/15*d**6 - 1\/5*d**5 + 1\/3*d**4 - 1\/3*d**3. Find j such that g(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2507776 and -57\/81344.\nAnswer: 102818816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-377 + 2115 + 964 - 347)*(-2 + 1 - 1)*(2*x**2 - 3*x + 3*x).\nAnswer: -9420*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 2*a - 9. Let i be g(6). Suppose 84 = 4*m + 3*s, -2*s + 74 = i*m + 3*s. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2. Let j(w) = 4*w. Give j(q(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31243220113 - 0?\nAnswer: -31243220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -490 - 201*q**3 + 319 + 198*q**3 + (-4*q + q + 5*q)*(0*q**2 + q**2 - 2*q**2) + 2*q**3 - 6*q**3 + 2*q**3 as t*q**2 + b + j*q + o*q**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 7, i: 1, x: 7}. What is prob of picking 1 i and 1 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45 + 23 - 672*w**3 - 44 wrt w?\nAnswer: -2016*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155998517 + 0.3.\nAnswer: -155998516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let v(j) = 4*j + 14. Let y(p) = g(p) - v(p). Let a(b) = -b - 7. Let t be 12\/(-20) - 3157\/2255. What is t*y(z) + 5*a(z)?\nAnswer: z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + (6 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j - 31 = 105*j + 3*z, 0 = 5*j + z + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*x - 21 = 36, 0 = -4*x + 12. Suppose -4*i - 4*j + u = -i, 5*i - 3*j = 19. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 12*k + 8. Let g(u) = -7*u - 286*u**2 + 284*u**2 + 31*u + 15. Let x(j) = -3*g(j) + 5*r(j). What is x(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3 - 12. What is the second derivative of -q*u + 3*u - 6*u - 3*u - 3*u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -1750?\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693177787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*v + 37*v + 22*v + 21*v + 20*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixu when four letters picked without replacement from {i: 1, x: 2, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11653 is divided by 2328.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*m = 0, -m + 0 + 1 = 0. Suppose 0 = z - 4 - g. Let q = 40 - 38. Solve -2*k - q*p + z = -0*k, -5*p = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 35338 = 20*o. Let u = o - -229451\/13. Let j = 19 + u. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*o = 145*o + 3*m + 11, 0 = -3*m - 3 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -386.46 and 78.\nAnswer: -30143.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 61*o = -155. Put 2, 494, o in ascending order.\nAnswer: 2, o, 494","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9277229756?\nAnswer: 2, 31, 383, 195343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let z be 14\/12 + m\/(-18). Let v = z + 4. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 110*l**2 - 520*l + 640.\nAnswer: -5*(l - 16)*(l - 4)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 247021938289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*1*-1)\/(sqrt(1008)\/sqrt(9) - sqrt(7)) - (3*(1*sqrt(121) - sqrt(121)))\/(sqrt(704) - ((-2*sqrt(704) - sqrt(704)) + sqrt(704))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -24782 and -24794 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7154 + -1784. Let k be 687382\/(-64)*(-5)\/10. Let p = k - x. Find the common denominator of -53\/16 and p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2585*n - 3131*n - 2 + 2 + 0 to k + r*n and give r.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*p**4 - 49*p**4 + 8*p**4 + (-p + 3*p + 0*p)*(2*p**3 + p**3 - 4*p**3) to r*p**4 + u*p**2 + t*p**3 + v*p + a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 5. Suppose 24 + 16 = -4*j + 4*y, -5*y + 30 = -j. Let h(p) = -3 + 4 + p**2 + 0*p**2. Give j*h(i) - a(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 2698.\nAnswer: 10792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 4}. Give prob of sequence lqq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/7 - 90*n\/7 - 1664\/7 = 0 for n.\nAnswer: -64, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*v + 63*v - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2 - 4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -12. Let i = 16 - l. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4268602\nAnswer: 3\/4268602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 1, 3\/7, 10\/7973, 0.3 in descending order.\nAnswer: 1, 3\/7, 0.3, 10\/7973, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5f19 (base 16) to base 10\nAnswer: -24345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/((-5)\/24)*125\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/2 + 82*d**3 + 243*d**2 + 242*d + 406. Find s such that y(s) = 0.\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1208167 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002956 rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -1. Calculate the remainder when 76 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by (-10 + (-24)\/(-6))*(-4 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236\/413)\/(4\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 21*c**4\/4 - 9*c**3 - 18*c**2 + 12*c + 10. Solve v(b) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388274 is divided by 35263.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11143 - 11143 - 334*h)*(-9*h + 5 - 8 + 50*h**2 + 9*h) to l*h**3 + x + s*h**2 + c*h and give c.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let n(r) = 7*r - 9. Let m(a) = -6*k(a) + n(a). Let g be m(8). Suppose g*v = -4*d + 96, 3*d - 5 = -4*v + 68. Solve -5*o - d = 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2416, 2663, 2918, 3181, 3452?\n\"Answer: 4*k**2 + 235*k + 2177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o + 78 + 98 = 781. Let a be (-304)\/3*60\/(-8). Suppose 7*h + a = o*h. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173198, 692898, 1559080, 2771750, 4330914, 6236578?\n\"Answer: v**3 + 173235*v**2 - 12*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 24*o + 1368. Let x be v(22). Calculate the greatest common divisor of x and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4 + 0 + b + 1. Let w be a(-5). Suppose w = 6*u - u - 100. Solve -4 = 3*k - 3*r + r, 2*r = -3*k - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 21*h + 1. List the prime factors of y(-9).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.23951.\nAnswer: 0.47902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(704) - (sqrt(704) + -1))*5 + (-5 + 3 + sqrt(704))**2).\nAnswer: -1426 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/((-65637)\/(-102))*((-3)\/21)\/(2\/2)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(125) - (sqrt(240)\/sqrt(3))**2.\nAnswer: -80 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -11505920.1?\nAnswer: -11505919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.705 + -1.7057882. What is a rounded to five dps?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 9 - (-3 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.862 - -6.062. What is the fifth smallest value in -11, 5\/3, z, 4, -0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13919 - 7359. Round u to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 439, 0.2, -3.6?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-19 - (-6 - 4)) + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let a(l) = 11*l**2 + 1. Does 8 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 48896515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5122 is divided by 1671?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 1. Let i = -10 + 10.4. Let r = 1.9 + -2. Which is the nearest to -2\/7? (a) i (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8845738 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6 + 7*l**2 + 2*l + 113*l**3 + 5*l**2 - 114*l**3. Suppose 4*j + 4*h - 8 = 0, j + 0*j + 10 = -5*h. Is c(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765 is divided by 620.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450550 - 35?\nAnswer: -451025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 873\/(-16632)*39\/(-156) and 49\/16.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1069911\nAnswer: 1069913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 19 = -2*w - 6, 3*w - 3*r = -75. Let m be ((-4)\/(-5))\/((-8)\/w). Let v be (0 + -2)*3\/m. Sort v, 1, -2 in decreasing order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 118*t**2 + 1010*t - 108. Calculate f(126).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {a: 4, q: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z**3 + 5*z**2 + z - 8. Let o(j) = -74*j**3 + 24*j**2 + 7*j - 42. Let m(d) = 11*n(d) - 2*o(d). Find the second derivative of m(p) wrt p.\nAnswer: -102*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 63. Let w be v(-12). Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 4*s**2 - s - 1. Let k be d(-3). Let o be (-19)\/38 - k\/(-14). Solve 8\/7*j - o*j**2 - 8\/7 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464386 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23654 - 5204. Let d = 30998 - l. Is (-15)\/(-10)*d\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -301, -9738, -1.\nAnswer: -9738, -301, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -165, -776, -1791, -3210?\n\"Answer: -202*n**2 - 5*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 38663.2, 187 in descending order.\nAnswer: 38663.2, 187, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -3. Let b = t + 4. Suppose b = p + 4*p - 10. Solve p*y - 16 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v - 4*a = 86*v + 57, -3 = v + 5*a for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -280, -450, -672, -964, -1344, -1830, -2440?\n\"Answer: -3*t**3 + t**2 - 118*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.0754 nanoseconds to seconds.\nAnswer: 0.0000001010754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 22*k + 56. List the prime factors of c(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (2 - (0 + 0)). Let u(x) = -26*x**3 + 2*x**2 - 1. What are the prime factors of u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1318 and -0.15.\nAnswer: -197.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -12 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -589985.1 - 2.\nAnswer: -589987.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -3\/5 (c) 11 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 22 = 20*g. Is g - (-4 + 7 - 2706) 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 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 266, -0.19, -5, 2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j + 280. Let p = j - 34. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69363733, -138727467, -208091201, -277454935, -346818669?\nAnswer: -416182403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/35 in 0.1, 0.5, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -126?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*f - 20 = 4*f - 5*f, 0 = -45647*j + 45645*j + 15*f - 60 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209\/1672*(-1)\/(-2).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -285, -645, -1149?\n\"Answer: -72*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.1 + -36.1. Let g = 8 + -8.2. Let w be (16\/220)\/((-2)\/5). What is the biggest value in l, g, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18197*o - 43421.\nAnswer: 18197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/7, 4\/3, 4, 2, 20\/11, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195 + 194.9. What is the closest to -2 in u, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-9))\/((-2)\/30). Suppose 3*i - 23 = -t. Calculate the highest common divisor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89312009 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6101410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3885432, 3885435, 3885438, 3885441, 3885444?\nAnswer: 3885447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204553 - 43252?\nAnswer: 121301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrndrrrrrddrrrnrdr. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) -404 (c) -2 (d) 1\/7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 + -18 + (3 - -3). Let u be 33*(-2 + (-16)\/(-6)). Suppose -2*m + u = k, -k + 0*m = -3*m - 42. What is the highest common factor of a and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1*d)\/d**(1\/6))**32*(d**(5\/2)\/(d*d**(-1\/4)))\/(d\/(d**0*d))**(-4\/17) assuming d is positive.\nAnswer: d**(341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*t - 48. Let v = 96 - t. Let j(y) = y + 42. Let l be j(0). What is the highest common factor of v and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/22)*r*(r\/r**(2\/81))\/r*r*(r*r**(-3\/14)*r)**(1\/7))**(-4\/5) assuming r is positive.\nAnswer: r**(-413324\/218295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(18))**2 + -5 + sqrt(6)\/(sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3)).\nAnswer: sqrt(2)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -1\/3 (c) 856.8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2832 and 12738048.\nAnswer: 751544832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51 - 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 2*c)*(3 + 82 + 7)*(-1 + 1 + 1)*(2*c**4 + 2*c**4 - c**4).\nAnswer: -276*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147142.\nAnswer: 2, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17478 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/20 + 5*s**2\/2 + 6*s. List the prime factors of u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**3 - 9*p**4 + 30*p**4 + 16989*p**2 - 16989*p**2 - 2 as n*p**2 + j*p**3 + q*p + y + i*p**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 20*r**2 + 105*r - 216. Let z be b(24). What is the closest to 0.1 in z, 2723, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 16 + 40 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 2*x - 2*x + (-1 + 2 + 0)*(3*x**4 + x**4 - 2*x**4) + (0 - 1 + 3)*(3*x**3 - 3*x**3 + x**4) - 8*x**4 + 16*x**3 - 16*x**3.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7 and 39\/47?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 + 25373 - 12684 - 12680.\nAnswer: 15*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.5472 kilograms to grams.\nAnswer: 581547.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 6, 2, 1\/3, 1\/4, 44, -2\/3.\nAnswer: -2\/3, 0.01, 1\/4, 1\/3, 2, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -7. Let q(d) = -2*d**3 - 32*d**2 + d + 44. Let r be q(-16). What is the highest common factor of l and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-98)\/(-14)*(-54)\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*l - 6 + 1 = 0, 5*m = 3*l - 13. Let j be (-3 - m)*1 + 85. Let f = 4282 - 4226. What is the greatest common factor of f and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182 + 171. Is (-173)\/((-1)\/(-11)*11\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 5\/12*j**4 + 0*j**3 + 5\/2*j**2 + 0 - 80*j + 1\/20*j**5. Let c(z) = z**3 + 2*z**2 + 2. What is -5*c(a) + 2*k(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112331747?\nAnswer: 11, 23, 443999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + 144592*l**4 + 2*l**2 - 4851527*l?\nAnswer: 60*l**3 + 1735104*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlri when four letters picked without replacement from lssrrsislrri.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -905 and 49041141078.\nAnswer: 49041140173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1209 and 847263?\nAnswer: 341446989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.29, -6.02, -0.09.\nAnswer: -6.02, -3.29, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, 0, -2\/5, 3\/2, -206, 13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 599 = -1250 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8203 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 9*v**2 - v. Let h = 173 - 182. Calculate i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 23.724743 days?\nAnswer: 3.389249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 24671*p - 11233*p - 12389*p + 2 as q + x*p**3 + k*p**2 + g*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13077576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3234 in -0.3, -1\/3, 3\/37, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -20*t**2. Let i(j) be the second derivative of j**6\/360 + 5*j**3\/3 + 11*j. Let d(n) be the second derivative of i(n). Calculate d(v(k)).\nAnswer: 400*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10967840 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from iilidiipdiid?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let w be j(5). Suppose 5*c = 5*u - 10, 2*c - 3*u = -3*c - w. Are c and 3\/26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24576565?\nAnswer: 5, 13, 378101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.5161 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -0.03607?\nAnswer: 0.03607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/7 - 225*m**3\/7 - 12009*m**2\/7 + 11615*m + 872850\/7 = 0 for m.\nAnswer: -115, -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(44) - (1 + sqrt(44) + 0 + sqrt(44))) + sqrt(88)\/(sqrt(72) + sqrt(72)*1 + sqrt(72)) + 1)**2.\nAnswer: 68*sqrt(11)\/9 + 3503\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 41 = -29. Suppose -j + 70 = -3*v, j + 4*v = 3*v + r. Suppose 0 = -5*n - 0*k + 2*k + j, -3*k = -3*n + 42. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 45699*g**2 - 45699*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16182313 or 0.1?\nAnswer: 16182313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -10446451721715.\nAnswer: -10446451721715.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (0 + -8))*196\/(-42). Let w be (-4)\/s + ((-27)\/(-7) - -1). Solve 0 + 0*l**4 + 1\/2*l**3 - 1\/4*l**w - 1\/4*l + 0*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*j - 233*j + 608*j - 183*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9954.595215 to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -3*n**2\/2 + 14*n - 2. Let t(g) be the third derivative of g**5\/60 - 2*g**3\/3 + 3*g**2. Give -4*m(c) + 3*t(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 13, o: 3, i: 1}. What is prob of sequence os?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/6 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 60?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59947*c*z**4 - c*z**2 - c*z + 690*c + 333*z**3 - 3*z**2 + z + 1272 wrt z?\nAnswer: -1438728*c*z + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1721 + 4307 - 499 + 14*r - 482)*(2 + 1 - 1).\nAnswer: 26*r + 3210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-17))**(3\/37) assuming h is positive.\nAnswer: h**(102\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/6 + 83*g**3\/6 + 328*g**2 + 2250*g - 2592 = 0.\nAnswer: -48, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 - 81. Let a = -51 + c. Suppose a - 2 = 3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 34*o + 45*o - 3 - 2*o**2 in the form r*o**2 + l + m*o and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8555 = 5*u, -f = 4*f - 15. Suppose -4*z + 3851 = -3*l, -l + u = 3*z - 1164. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323573183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -101*i**2 + i. Let o(x) = 128*x + 118*x - 252*x. Calculate o(w(g)).\nAnswer: 606*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - (1 + 0). Let r(x) = x - 3. Let l be r(5). Let s be 1*(l + 3 + -8). Which is the closest to w? (a) s (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahihavmhcvv. What is prob of sequence haa?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33442191 rounded to 3 dps?\nAnswer: -0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316396561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -2. Calculate the smallest common multiple of (343\/14 - 7)*116\/145 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -167*x + 9. What is the hundreds digit of n(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/19 + 10*m**4\/19 + 62*m**3\/19 + 86*m**2\/19 + 36*m\/19 = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = t - 73, 0 = -0*x + 2*x + t - 149. Let m = 54 - x. Let f = -19 - m. Solve -f = -4*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.93 + -37. Let n = 0.87 + q. Let l = n - 0.1. Which is the third biggest value? (a) 2\/9 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(16\/(-6))*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23\/6 - -9\/2. Put -0.1, 3, a, 2\/5 in increasing order.\nAnswer: -0.1, 2\/5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -222? (a) -4 (b) -9 (c) -0.013 (d) -5 (e) 1 (f) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 31 = 2*g, 5*v + 5*g + 0*g - 60 = 0. Which is the smallest value? (a) v (b) 1 (c) 2 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5 - (-2 - 1). Let h(y) = -y + 1. Let j be h(u). Solve 4*m - 2*m + r = 2, -15 = j*m - 3*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 3. Suppose -2*n + 5*n + 21 = 0. What is k(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-5 + -4 + 36)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 4*z**3 + z**3 + (2*z - z + z)*(13*z**2 - 6*z**2 + 0*z - z) as x*z**2 + l + d*z**3 + h*z and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - 2631765.\nAnswer: -2631693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10467 + -52139\/5. Let n = y + -39. Let b = -37633 - -37633. What is the nearest to b in -0.3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 392*n - 14*n + 33 to the form i + m*n and give m.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*a + 1450. Let p = 1 - a. Let x = -114 - p. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158 + 157. Is 28\/41 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 76810*g + 5 - 3 - 76817*g. Let a(m) = -8*m + 3. Calculate 6*a(k) - 7*p(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204995 and 12.9?\nAnswer: 2644435.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/11*13\/(-52). What is the nearest to -4.6 in 0, 3, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1826 + 2042. What is the smallest common multiple of 108 and a?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18 + 18*h**3 - 4 + 7 + 525*h**3 - 4*h**2 - h**2 wrt h.\nAnswer: 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239913000 to the nearest 1000000.\nAnswer: 240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -18, 0, -9, -4, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97000786 to the nearest integer?\nAnswer: 9849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5))**28)**(-13\/2)*(i**12\/((i**(6\/11)\/i)\/i))**(-3\/13) assuming i is positive.\nAnswer: i**(49832\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18388*o**3\/7 - 18380*o**2\/7 - 8*o\/7.\nAnswer: 4*o*(o - 1)*(4597*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 29*q + 289. Calculate z(-13).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15547 - -15565. Let a(x) be the first derivative of 0*x**2 + 0*x**4 + 0*x - 29\/3*x**3 - q + 11\/5*x**5. Find the third derivative of a(c) wrt c.\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.775337 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 + -1 + -38 - (1 + (-8 - -1))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77401828 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoeee. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/5, -338, 12, -2 in increasing order.\nAnswer: -338, -13\/5, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(1584) - (sqrt(1584) + 2 + 0 + sqrt(1584))) + 6*(sqrt(1584) + 0 + sqrt(1584) - sqrt(1584))*-4)**2 + 2.\nAnswer: 3888*sqrt(11) + 1154774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) + 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23214 (base 7) to base 11.\nAnswer: -4510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - g - 1. Let l = 17 + -13. Suppose 2*x + l*z - z = 13, -5*z = -25. Let u(q) = -q**3 + q + 1. What is x*n(t) - u(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2 - 8317*p + 16630 = 0.\nAnswer: 2, 8315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 26 = 22. Suppose 12*u - 3185 = 4*u - 41*u. Calculate the remainder when u is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 24*p - 6*p**2 - 41 + 5.\nAnswer: -3*(p - 6)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 - 64 - j - 35.\nAnswer: -j - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7853.193 centuries to years.\nAnswer: 785319.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -153*z - 14. Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7393696 divided by -1?\nAnswer: 7393696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -5, -144, 11, 3 in ascending order.\nAnswer: -144, -5, -4, 3, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2708170 and 2033?\nAnswer: 51455230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352101 - 2370405 = -92*s - 124*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 2*a**3 + 3*a**2 - a**2 - 4*a**3. Let s be n(2). What is the units digit of (2\/6)\/(s\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121*3\nAnswer: 0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and -28365?\nAnswer: 28327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 3. Let p be s(-2). Let a(z) = z + 10. Let n be a(-9). Let g be (-2 - p*-2)\/n. What is the closest to g in -3, 0.4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - sqrt(5040)*-2) + sqrt(35))\/sqrt(7)*-4 + sqrt(405)\/(sqrt(18)\/sqrt(2)*-5))*-5.\nAnswer: 523*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 4*t - 5. Let x be s(2). Let j be (-133)\/x - (-3 + 0). Sort 4, j, 0, -5.\nAnswer: -5, j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/701 - 1366\/6309. Which is the second smallest value? (a) 3\/4 (b) p (c) -29.7 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14699, 14621, 14543, 14465, 14387?\nAnswer: 14309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, l: 2, q: 2, v: 2}. What is prob of picking 2 q and 2 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 + 32*r - 5. Let b(g) = -10*g**2 - 48*g + 8. Calculate 5*b(c) + 8*o(c).\nAnswer: 6*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 20*m + 1096. Give l(25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpppqppbqbbp. Give prob of picking 2 p.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -80. Let u = 0 + 1. Let r(k) = -3 - u + 6*k + k**2 + 0*k**2. Determine r(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 950578.\nAnswer: 6654046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/6 - 23*l**3\/6 - 23*l**2. Differentiate i(y) with respect to y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009703755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/(-4)*4\/(-10) and 3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**2 + y**2 - 46*y**2 + 36*y**2. Let s(m) = m - 5*m + 2*m. Give t(s(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(175) - 6*(0 + sqrt(7)))**2.\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = -5*b + 2*h, 4*b + 15 = -5*h. Sort -1, 0.2, -3\/4, 0.01, b.\nAnswer: -1, -3\/4, b, 0.01, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 11. Let c be z(7). Let t be 7\/c + (-1)\/(-4). Let y be 2 + (6\/t - 17). Is y < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26.45 or -2789\/2?\nAnswer: -26.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.091 - 6.\nAnswer: -7.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 32, 33, 34, 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6299*w**3 + 5*w**2 - 2319*w?\nAnswer: 37794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddb when three letters picked without replacement from bdfd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -268 + 277. Let v = 24 - 11. Suppose -v = m - 5*s, -n*m - 1 = 4*s - 0. Which is the biggest value? (a) m (b) 0.1 (c) 5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/45)\/(6\/45). What is the second derivative of 2*o + 151*o**j + 12*o**5 - 25*o**5 - 151*o**3 + 15 - o**4 wrt o?\nAnswer: -260*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 3670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*v**2 - 124*v**2 + 2*v**3 - 3*v**4 - 128*v**2 - 3*v + 9 to the form b*v**4 + t*v**3 + u + z*v**2 + q*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5*n + 3. Let o be k(5). Let x be o*(-1)\/(-3) + -1. Suppose 1 = s + 2*i + i, -5*s - i + 47 = x. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -6 + 17 - (1 + 4)) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27412263300 and -0.1.\nAnswer: 27412263299.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3506032332 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -202, -820, -1852, -3298?\n\"Answer: -207*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5940 and 281200680?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((-1540)\/24)*(-1)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/3)\/(2\/(-108)*-4). Suppose 0*p = -6*p + m. Let d(t) = 8*t - 2. What is the tens digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04816588 and -0.03.\nAnswer: 0.0014449764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 1011 = -1006 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*o)*(-1 - 1 + 3) - 2*o - 3*o + 4*o + o + 451 - 515 + 674.\nAnswer: 2*o + 610","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1214, -4921, -11112, -19793, -30970?\n\"Answer: -i**3 - 1236*i**2 + 8*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**3 + 39*r**3 - 6*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 284458 divided by 142229?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = 3*c, -4*c + 3*c - 5 = 0. Put 0, g, 2 in descending order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*q + 1029 - 404, 0 = 2*v - q - 424. Suppose -3*f - v = -4*n, n + 4*f = 5*f + 54. Suppose 3*b + 16 = n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5973.7467 - -5974. What is y rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11512696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3596038ng in kilograms?\nAnswer: 0.0000000000003596038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 12. Let w be r(-10). Suppose 4*o + 61 = -3*i, -3*o + 4*o + 2*i + 9 = 0. Let s = o + w. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-3\/7)\/x)*x**(-3\/7)\/x*x*x)\/(x**19*x*(x**18*x)\/x) assuming x is positive.\nAnswer: x**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*b = -142, -3*i + 2*i + 83 = 3*b. Does 37 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(768)\/sqrt(4))\/(sqrt(600) + -2*sqrt(600)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19040 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let b(l) = 437*l - 2. Determine b(c(j)).\nAnswer: 437*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 4*z + t, 0 = -z + 5*t - 3*t - 81. Let f = -63 - z. Let h = -21 + f. Solve 0*n - 20 = -h*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5167105, 5167104, 5167103, 5167102, 5167101?\n\"Answer: -g + 5167106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1255301 - -0.03677\nAnswer: 1255301.03677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -515823\/5 - -103173. Suppose 3\/5*t**3 - n*t**2 + 3\/5*t**5 - 24\/5 + 12\/5*t**4 - 12*t = 0. Calculate t.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 495\/2 - 248. Which is the smallest value? (a) -2 (b) 9 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/39*-18*-215 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/5? (a) -5 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 1. Let s be u(-5). Let d = s - 11. Suppose -o - 2*o + 5*g + 78 = 0, d*o - 87 = 2*g. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -40\/11 (b) 1 (c) -11.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -8 + -20 - (103 - 2)) + -9\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/2 - 3\/4*p**2 + 39\/4*p.\nAnswer: -3*(p - 14)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 24 + 5 + 4 = -3*s, 77*z - 74*z + 39 = 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -6, -235, -13 in descending order.\nAnswer: -1, -2, -6, -13, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 11*a - 4. Calculate the smallest common multiple of d(-10) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, f: 7, j: 4}. What is prob of picking 3 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 d when four letters picked without replacement from wdswswswwhdhshdssw.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7 + 5, -5*g = 4*a - 43. Suppose a*c - 65 = 2*c. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:48 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -4, 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Let u(r) = -10*r + 9. Let z(k) = 6*u(k) - 78*x(k). Let p be z(6). What is the tens digit of (-3)\/2*-2*p\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9702020600 to the nearest 1000000.\nAnswer: -9702000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088552 divided by 102?\nAnswer: -20476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let k(b) = 899*b + 2. Let h(m) = 394671*m + 879. Let d(l) = 2*h(l) - 879*k(l). Calculate d(y(p)).\nAnswer: -1758*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17764 + -10751. List the prime factors of s.\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:03 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1002 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 8 = -8*g. Calculate the lowest common multiple of 5 and (-32)\/4*(-3)\/g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*m - 9 - 1, 6 = 5*f - 2*m. Let w = -0.23 - 0.07. Let k = 4.6 - 5. Which is the smallest value? (a) w (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1305)\/(-2) - 9\/(-6). Let d = -2643\/4 + h. What is the common denominator of d and -95\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*x - 2 - 5, 3 = -2*w + x. Let i(v) be the second derivative of -v**3\/3 - 2*v. Let z(t) = -1. Give w*z(l) - i(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1180126058 at least as big as -1180126059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 807265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let h = 147 + -143. Suppose 0 = h*r - 16, 0*r - l*r = 2*u - 40. What is the least common multiple of 30 and u?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*x - 227*x = -15. Let t be 380\/(-95) + (1 - x). Suppose 1\/2*u**t - 1\/2*u + 1\/2*u**3 - 1\/2 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 3.6. Let n = 38\/15 - 227\/60. Put n, r, 1 in decreasing order.\nAnswer: r, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 8*b. Let s be d(-10). Let v = 10 - s. Let j = 31 + v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 75*z**3 - 36*z - 102*z**2 - 21*z**4 + 5*z**3 + 7*z**4 = 0.\nAnswer: -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 16*x + 46782 = 0. Let h = x - -13786. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-33))\/((-2)\/60). Suppose -7*p + 2*p + t = 0. What is the remainder when 8 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, 11, -0.5, -2206?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174059539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 1. Suppose -s + 6*s - 15 = 0. Let n be s\/((-2)\/(-2)) + -1. Suppose -n*v - 8 = 2*v. What is d(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r. Let u be f(4). Let i(n) = -n**2 - 19*n - 86. Let y be i(-8). Solve s + y*s = u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/86 in -1, -5, -1219, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18605190240 and 2.2.\nAnswer: -18605190237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h - 120 = 0. Let r = h - -14. Let c = -14 - r. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76518?\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2716242801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -107.4\nAnswer: -32.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 12*u**2 - 16*u + 36. Let a be v(13). Let w = 3 + -2. What is the closest to w in -0.5, -7, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bllbbbbb. Give prob of sequence bb.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20078 or -20077?\nAnswer: -20077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/4 + 243*r**4\/4 - 2579*r**3\/4 + 6289*r**2\/4 - 1452*r + 464 = 0. What is r?\nAnswer: 1, 8, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 1)\/((-42)\/(-28)). Let i(r) = 5*r - 2. Let l be i(z). Let y = l - 5. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 5040*y - 70448.\nAnswer: -4*(y - 8806)*(y - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 + 4*s**2 + 2*s. Let m be k(-2). Let g(o) = o**3 + o**2. Let b(l) = -6*l**3 - 17*l**2 - l - 5. Let v(w) = b(w) + 5*g(w). What is v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 1\/10 (c) -1\/3834\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d7dea (base 16) to base 14\nAnswer: -190334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(320)*-1 - (sqrt(30) - sqrt(180)\/(-3*sqrt(6)))\/sqrt(6).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 632691 and 52002?\nAnswer: 3796146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {y: 2, b: 1, l: 1, m: 1, t: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let b(f) = -f**3 + f + 5. Calculate b(x) + 6*d(x).\nAnswer: -x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 1019, 3428, 8121, 15860?\nAnswer: 27407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/11 and -77\/1272.\nAnswer: 13992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89 and -5.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 629496 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 2*h - h)*(2*h**3 + 3*h**2 - h**2 - h**3 + (h - 7*h + 0*h)*(6*h**2 + h**2 - 2*h**2)) to v*h**2 + q*h**3 + k*h + r + s*h**4 and give s.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 248774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - 2*d - d + (-1 + 2 + 1)*(17 - 17 + 8*d) + 5 - 5 + 3*d + 2 in the form f + l*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2 + 2 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 48049056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**7 + 2*c**5 - 8*c**4\/3 + c**3\/6 - c**2\/2 - 254*c. Find the third derivative of z(w) wrt w.\nAnswer: 2520*w**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.12, 700, -2\/3, -1\/8, 5.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32531269 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 15*y + 29 + 38 - 41 + 32.\nAnswer: 15*y + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*m - 143*m + 839 = -511 + 522 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53677492 and 2001?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**3 - 4*u + 1. Let f be v(-2). Let o = -36 - f. Suppose 3*x + 3*t = 24, -5 = -o*t - 17. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(1 + -1 + (-16)\/(-72)). Let k = -7 - -4. Let r = 4 + k. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r + 2. Let t be 1\/((-22)\/(-10) - 2). Suppose -4*x + 17 = -3*u, -t*x - 2*u = -0*u - 4. Let d(l) = -4 + 5*l + 2 + x*l. Calculate 6*d(n) + 5*g(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -174263094*w**2 + 78743799 wrt w.\nAnswer: -348526188*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 17*o - 60. Calculate the smallest common multiple of n(9) and 57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 5 (b) 4 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3069867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 3 = -8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 188777065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221406504?\nAnswer: 2, 233, 655261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 298 + -244. Let t(v) = 8*v**3 - v**2 - v + 1. Calculate the remainder when o is divided by t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 64\/12 + 3\/9. Let l = -0.37 + -0.03. Which is the second smallest value? (a) l (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 + 40644000*y - 82596736800000 = 0.\nAnswer: 4064400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5150010*b + 60. Let x(s) = 12*s + 6. Let y be x(4). Let o = y + -60. Let r be c(o). What is r rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 6*c**2 - 5*c**2)*(-5*c**2 + 2 - 2)*(-2 + 2 + 5*c).\nAnswer: -25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 + 4. Which is the closest to -1\/3? (a) -2\/9 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 24*t + 418 - 14 + 24*t.\nAnswer: -4*t**3 + 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-2 - 5) - 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -31. Suppose -6*v + 5*v + 5 = 0. Solve -8 = 5*n + i, -p - v*n = 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 64) + (6 + (-2 + 17 - 10) - 15).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 13287c?\nAnswer: -132880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11329*u + 4541*u - 9333*u.\nAnswer: -16121*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 + -2. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s**3 + 5*s**2 - 5*s**4 + 5*s**5 + 6*s**4 + 14*s**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2147, -2156, -2173, -2198, -2231, -2272?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-12)\/64 + 1 + -3. What is the second smallest value in -1\/6, -2, -4, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/7 + 201*n**3\/7 - 2409*n**2\/7 + 3471*n\/7 + 6084\/7 = 0 for n.\nAnswer: -1, 3, 13, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 9. Suppose -5*o + j = -2*o. What is the second derivative of 0*g - 2*g - o*g**2 + 2*g - 4*g wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**49)**16*(p*(p**(-2\/3)*p)\/p)**(-33)*(p*p*p\/p**(-2\/5))\/((p\/(p\/p**4))\/p) assuming p is positive.\nAnswer: p**(-11813\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1277a + -3?\nAnswer: 12777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(150)\/sqrt(3) + (sqrt(100)\/sqrt(2) - sqrt(50))*2))\/(sqrt(1000)*2*-4 - sqrt(1000) - (-2*1*sqrt(1000) + sqrt(1000))).\nAnswer: -3*sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 20, -1125965, 1 in decreasing order.\nAnswer: 20, 1, -0.3, -2, -1125965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -18483e?\nAnswer: 18483f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -4. Calculate the lowest common multiple of y and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + 1 + -2) - (2 + ((sqrt(143) + (1*sqrt(143) - sqrt(143)))\/sqrt(11))**2).\nAnswer: -4*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - -5.85. What is the third biggest value in -0.5, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 152. Give h(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {t: 4, i: 2, d: 6, a: 4, o: 1, s: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z - 14. Let u be i(6). Suppose 0 = -6*g + 202 - u. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 2*d - 1. What is g(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.49 + 98.49. What is the nearest to x in -0.5, -3, -101\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488934463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1331 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1043*a**4*k**2 - 107*a**2*k**2 + a*k**2 - 3*a*k + 2*k**2 + 4153 wrt a?\nAnswer: 12516*a**2*k**2 - 214*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -8, 16, 76, 184, 352?\n\"Answer: 2*c**3 - 14*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -21*k**5\/4 + 99*k**4\/4 + 237*k**3 + 408*k**2 - 300 = 0.\nAnswer: -2, 5\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let l(o) = 77 - 77 + 3*o + o**2. Calculate -3*b(a) + l(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0.3, 4 in descending order.\nAnswer: 4, 0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117.2*-3.\nAnswer: 351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pryvblb. Give prob of picking 1 y and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221 (base 3) to base 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 3, x: 3}. What is prob of picking 3 x and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/9, -0.175, -0.9.\nAnswer: -0.9, -2\/9, -0.175, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 21052\/703 - 9792\/(-16872)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 2*q + 1. Let t(f) = 3*f**2 - 3*f - 2. Let s(h) = -2*r(h) - 3*t(h). Suppose -p - 3 - 10 = -2*o, o - 5 = 2*p. Calculate s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -239 + 1191\/5. Let z = 127 + -87. Let n be 2 - (z\/12 - 2). What is the fourth biggest value in n, -1\/4, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 76*l**2 + 136*l + 540. What is the hundreds digit of o(-81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 502337 and 1375.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/108327922 and 31\/16.\nAnswer: 866623376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 41287*u\/4 + 5161\/2.\nAnswer: -(u - 10322)*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894237575 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 0*p**4 + p**4 + 4*p**4 - 4*p**4 + p**4 + (-p**3 + p**3 - p**3)*(-7*p - p - p) in the form v*p**3 + x + h*p + m*p**4 + o*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*w**2 + 6*w**2 + 10*w**2 - 1 to p*w**2 + d + m*w and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*1*sqrt(80) - sqrt(80) - sqrt(80))\/((sqrt(72) - (sqrt(72) + sqrt(72)*1))\/sqrt(9)))\/(-4*sqrt(5)*-6*3*-6))**2.\nAnswer: 1\/93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -229585.9 * -127\nAnswer: 29157409.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(5*4\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1088))*2)**2 + 4 + (sqrt(2057) + sqrt(2057) + 0 + -3 - (-1 + -1*sqrt(2057))).\nAnswer: 161*sqrt(17) + 4370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313 - 5?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - y - 3357 = 0, 5*f - 5*y + 5055 = 8*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 169?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -91 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 513.17 + -511. Let a = -2.2 + r. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 77. What is i(5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 1 u when three letters picked without replacement from hkyhuhnnayyhyyha?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145562 or 145561?\nAnswer: 145562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -12, 95, 308, 663?\n\"Answer: 6*f**3 - f**2 - 2*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 7616?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 2 - 2*u**3 + 3*u**3 + u**3 as o*u**3 + l*u + p + b*u**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/45, 1\/10, 13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18811928 to the nearest integer?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -0.1 (c) 474 (d) 0.3 (e) 7\/6 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61592 (b) -11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3 + 3054*h**2 + 116312*h.\nAnswer: 6*h + 6108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -327721.2 rounded to the nearest one hundred?\nAnswer: -327700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + -4. Let z(l) = l**3 + 4*l + 7. Let n(w) = -9*w**3 - 33*w - 57. Let u(p) = v*z(p) - 4*n(p). Find the first derivative of u(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 389 - -103. Suppose -5*o + d + 28 = 0. Suppose -3*y + 62 = 5*u, 4*y + 4*u = -32 + o. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79 or -14481?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlrr when four letters picked without replacement from lllllrllllrlrlrlll.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/48)\/(21\/(-10332)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 323*w - 3882. Calculate s(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0999567 and -752.\nAnswer: 75.1674384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2)\/d*d)**39\/(d**(-1\/3)*d)**48 assuming d is positive.\nAnswer: d**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*n**5 - 2652*n**2 + 75 + 5253*n**2 - 29*n - 2636*n**2 wrt n?\nAnswer: -200*n**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 204\/15 + 2\/5. Calculate the highest common factor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272.999998496 + -273. Round c to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-20))\/13*4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2188*y**3 + 4*y - 4*y - 2333*y**3.\nAnswer: -145*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1464349164 to the nearest integer?\nAnswer: 38267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92232 by -3.\nAnswer: -30744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50701807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 140214.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7860 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-204)\/(-14))\/(-161*(-187)\/210749)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -8*m**2 - 44*m\/3 + 380\/3 = 0.\nAnswer: -5, 19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12840)\/(-150) + ((-12)\/(-10))\/3.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -3\/2, -0.5, 121, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 + 592*c - 4661. Give s(8).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + ((-1628)\/96)\/11 and -55\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -481343750*j**5 - j**2 - 19709*j - 1658 wrt j.\nAnswer: -28880625000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 21703 + 13337. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - 6*(sqrt(700) + 4))*-2 + (-3*(sqrt(700) + -1) - sqrt(700))*6)**2.\nAnswer: -18480*sqrt(7) + 141556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/3)*d\/(d*d**19))**(-1\/16))**(7\/9))**17 assuming d is positive.\nAnswer: d**(7021\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*v - v - v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3899 = -155*x - 334 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*l*s**3 - 5*l*s**2 - 2*l*s + s**4 - 2*s**2 wrt s.\nAnswer: 1446*l + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 49*c**2 + 178*c - 87. Let y be x(-45). Let p = -4 - -8. Suppose 4*w = -5*a + 3*w + 24, p*w = -y*a + 28. Solve -r - a = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/38591 and 3\/14?\nAnswer: 77182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721116\/486 + (-4)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 6 + 0 - 2*p)*(158*p**4 + 287*p**4 - 77*p**4).\nAnswer: -736*p**5 + 2208*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 o when four letters picked without replacement from owwoqqroqqbe?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 80.4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65964, 263856, 593694, 1055496, 1649280, 2375064?\n\"Answer: 3*h**3 + 65955*h**2 + 6*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 13*l**2 + 7*l**2 + 1987.\nAnswer: 2*l**2 + 1987","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -209 (c) -0.1 (d) -2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*w + 1871*w - 598*w.\nAnswer: 595*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6002951, -12005899, -18008837, -24011759, -30014659, -36017531, -42020369, -48023167?\n\"Answer: z**3 - z**2 - 6002952*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 21 - 20 + 8*i + 2*i. Let x be q(-4). Let g = x + 60. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 5:18 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 1104, 2483, 4414, 6897?\nAnswer: 9932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 6. Let x = 41 + -33. Let g be o(x). Let q(c) = -2*c**2 + c**3 - 3*c**3 + 7 + 0*c + c - 6. Calculate q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1134 and 1674?\nAnswer: 35154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*z = -885, -5*r + 4383 = -z - 3*z. Let l = r + -427. Does 66 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 + 2.29. Let c = 82.947 - 83. Let y = c + 0.253. Is g > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16305338*j**3 + 176334 wrt j?\nAnswer: -48916014*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/345, 2\/3, -6, 4\/3 in ascending order.\nAnswer: -6, -1, 1\/345, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -6, -22 in decreasing order.\nAnswer: 5, 1, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409541090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let i be 4*a*3\/3. Let r(j) = -3*j - 1. Let k(n) = -3*n. Let t(x) = 5*k(x) - 4*r(x). Calculate t(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5204 (b) -5 (c) 13194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 32*j**3 - 48*j**2 + 640*j - 800.\nAnswer: -2*(j - 2)**2*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 + -107. Let t = -41 + k. Calculate the highest common divisor of t and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17095 - 69292186.\nAnswer: -69309281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8533011.05121 - 8532965. Let b = 0.41479 + q. Let z = b + -46. Round z to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/24 + 7*t**3\/6 + 4*t**2. What is the remainder when z(9) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 8. Let y be w(-7). Let c = -16 + y. Calculate the remainder when 49 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.029 + -12.029. Suppose -k - 4 = -3. What is the third smallest value in -1\/4, k, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/13957?\nAnswer: 12\/13957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94287, 94280, 94251, 94188, 94079, 93912, 93675, 93356?\n\"Answer: -2*c**3 + c**2 + 4*c + 94284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -15. Solve -3*o + m = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 6*h**2 - 5*h - 5. Let k be y(7). Let g be k\/(-6)*(0 - 6). Suppose -8*f - 3 = -g*f. What is the highest common factor of 15 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14219473666.99999241 + -14219474138. Let z = 471 + c. Round z to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 37.929. What is x rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((23 - 10) + (-6 - 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/7)\/(1\/(-7)). Suppose -y*r = 2*r - 30. Solve 0 = 4*h - 9*h - 2*i + r, -3*h - 2*i = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3583*w + 3583*w + w**2 in the form z + y*w**2 + t*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1264 - 16*w**3 - 1264)*(0*w**2 - 2*w**2 - w + 4*w) + ((-2 - 2*w + 2)*(3 - 2 - 4) + 4*w - 2*w - 4*w)*(2*w - 2*w - w**4).\nAnswer: 28*w**5 - 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115473663\/2 or 57736833?\nAnswer: 57736833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 + 7*k + 7. Let h be w(-3). Solve -h*v = -0 + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -1.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/77 - (-202)\/(-707). Factor -50\/11 + 20\/11*n - g*n**2.\nAnswer: -2*(n - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-seven halves of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2610 - -3622. Calculate the highest common divisor of 154 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421 - -418. Let c(p) = p**3 + p**2 - p - 1. Let w(m) = -4*m**3 + 3*m**2 - 3*m - 3. Calculate q*c(k) + w(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61623 and 4008?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026417209 to 6 dps.\nAnswer: -0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4\/49 (b) -0.08 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 140964?\nAnswer: 6625308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 68, 177, 338, 557, 840?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - -3) + 8 + 0 - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (53 - 0\/1). Let n = 11 + l. Let p = n + -12. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -4 = -k - s - s, -2*s = -f. Let i be -2*(k - 20\/(-8)). Which is smaller: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -6*d + 464 - 280 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 100210021?\nAnswer: -100210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7648*c**3 - 9*c**2 - 35*c + 5 wrt c.\nAnswer: -45888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(7\/(-14)*6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*l - 7. Let p be 0 + 1 + 14\/(-10). Which is the closest to p? (a) 1 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 + -278. Let s = 37 - 34. Which is the fourth biggest value? (a) -0.4 (b) -2 (c) s (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-58 + 61).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 49, 0 in descending order.\nAnswer: 49, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287903 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8509*v - 8524*v - 90 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 109292858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k**4 + 26*k**2 - 3*k + 12027 with respect to k.\nAnswer: -48*k**3 + 52*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 + 8)*(-6*z + 3*z + 4*z + (0 - 2 + 3)*(2*z + 3*z - 3*z) + 1 - 1 - z + 3*z - 3*z + 2*z + 7*z - 3*z - 2*z + 5 - 2*z + z - 2).\nAnswer: 45*z + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 57.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12.5 (b) -1 (c) -4\/7 (d) -0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 0*q**2 - 11379*q**4 + 2 + 11359*q**4 in the form v*q**2 + b*q**3 + f + g*q + h*q**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 3*h + 8. Let r(b) = 8*b**2 + 9*b + 23. Let n(t) = 11*m(t) - 4*r(t). Let x be n(3). Let k = 28308 - 28274. Sort 5, k, x in descending order.\nAnswer: k, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*q - 265, -5*g + 37 = q + 8. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13802.\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4802863419.\nAnswer: 3, 4079, 130829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 2 - 2*q**4 + 0 + 2*q + 8*q**3 - 2*q as d*q + a*q**3 + x*q**2 + t*q**4 + y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -247, -493, -739, -985, -1231?\n\"Answer: -246*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 57*o - 2508. Let r be n(44). What is the nearest to 2\/5 in 4, r, -0.13, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -3.4 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + 3*(-5 + ((sqrt(162)*-1)**2 - sqrt(162)) - sqrt(162) - sqrt(162)) + 4 + -3)*2 + 1.\nAnswer: -162*sqrt(2) + 952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 179, 432, 791, 1250, 1803, 2444?\nAnswer: 3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) + -1 + (-2*sqrt(112) + sqrt(112) + sqrt(112) + 5 - sqrt(112))**2 - (3*(2 + sqrt(112)*-2))**2.\nAnswer: -3932 + 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37123 or -37122?\nAnswer: -37123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 4. What is the least common multiple of x(0) and (153\/12)\/((-3)\/(-8))?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120, 218, 302, 360, 380, 350?\n\"Answer: -2*a**3 + 5*a**2 + 97*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.47 - -39.53. Let x = a + -40.0000062. Round x to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + -3*sqrt(117)*2 + sqrt(117)) - sqrt(117))\/((sqrt(9)*2 + sqrt(9))*-1))**2.\nAnswer: 208\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23.45, 155, -0.1?\nAnswer: 23.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80073 and 154504?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*z = -2448 + 30916 + 36396 + 12488 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + 13?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.7157 + -0.3560818?\nAnswer: 129.3596182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:59 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*m - m + 2 - 2 + (-1 + 2 - 3)*(-m + m - m) + (-2*m + 0*m + 0*m)*(1 + 3 - 2) + 2 - 2 + m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -11 - -2 - (-9 - -14) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -561619860 plus -7.3?\nAnswer: -561619867.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 15*u - 9. Suppose 5*r = -7 + 37. What is the remainder when i(13) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302277 is divided by 311.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -95\/4, -0.5, -2\/5, 2 in increasing order.\nAnswer: -95\/4, -0.5, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g = -64*g - 462. Find t such that 3*t**3 - 901 + g*t + 901 - 69*t**2 = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -1. Let m = 161 - 641\/4. What is the nearest to t in m, 0.5, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, -5*c + 16039 - 3410 = 2*b. Is c a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*n + 151, 5*n = 2*u + 93 + 100. What is the greatest common divisor of 143 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 5.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -0.07, 1, -7 in descending order.\nAnswer: 2.3, 1, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z - 13. Is 22 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377*d = 125665 - 30652 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -8, 2901?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -583269\nAnswer: 8\/583269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 + 4)*1*-1. Let o(g) = g**3 - 13*g**2 - 15*g + 15. Let z be o(j). Let m be ((-4)\/19)\/(-1 - z). Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110791277\/600 + 184652. Find the common denominator of -23\/144 and l.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5 + 7*k + 1 - 8. What is the remainder when u(9) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p**2*y + 11*p**2 - p*y + 2*p + y + 138334 with respect to p.\nAnswer: 14*p*y + 22*p - y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*s**4 - s**2 + 17.\nAnswer: 2160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) - (13 + 942\/(-70)). Let k be 12\/(-9)*(-6)\/(-4). Put 0.3, o, -1\/5, k in descending order.\nAnswer: o, 0.3, -1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5397583056 to the power of 1\/3, to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 77a51c (base 13) to base 7\nAnswer: 32661606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:13 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335514 is divided by 23430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 4)*(3*j**3 + 0*j**3 - 2*j**3).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205 (base 6) in base 16?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.493 decades to centuries.\nAnswer: 27.7493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41783*f**2 - 41785*f**2 - 41778*f**2 + 208911*f**2 - 41778*f**2 - 41785*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155215 + 1?\nAnswer: 155216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/5)\/(-14)*(-2)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7340 + -7316. Solve -2*j + n = -3*b + 10, -2*b = 4*j - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 4*p - 5. Calculate x(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 - 61395*a**4 - 16878410*a**3 + 16939800*a**2 = 0 for a.\nAnswer: -270, 0, 1, 12548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*j - 4*p - 2, 0 = 3*j + 4*p + 18 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14)*(u\/u**43)\/u)\/(u\/u**(1\/9))**(-24\/5) assuming u is positive.\nAnswer: u**(-791\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -27*o + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*d - 17 = -25 + 8, 4*d - 12 = -4*n + 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (149 - 114) + -7 + -70?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 3*h - 4. Let d(t) = t**3 + t - 1. What is 4*d(v) - u(v)?\nAnswer: -2*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/40 + (-17)\/(-5). Suppose 0*z - 2 = -z. Find j such that -2*j**3 + 2*j - j**u + 3*j**z + 4*j**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 652488717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/20*-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285340327 + 285340354 - 570680681 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73, -90, -20\/11, 2\/3, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.8. Let r = -0.2000018 - l. Round r to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 11*r - 10*r - 21 = -34*r + 3*x, 7*r - 41 = -2*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 less than -1918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 6*p + 2. Let b be -6*(-4 + (-27)\/(-6)). Let h be c(b). Suppose 0 = 6*i - h*i + 115. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:51 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-5 + (0 - -5))) + (-30 - -50)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:56 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/((f\/((f\/(f**5\/f))\/f))\/f)))*f*f**(-1\/8))**(-15)*(f\/((f\/f**(3\/5)*f)\/f)*f*f\/(f\/(f**(-1\/3)*f)))**(5\/7) assuming f is positive.\nAnswer: f**(5627\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371720.7 microseconds to minutes.\nAnswer: 0.006195345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + 3*z**5\/10 + z**4 - 41*z**3\/6 - 158*z**2. Calculate the lowest common multiple of 6 and u(19).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1852 and 151?\nAnswer: 27.9652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*s - 225*s - 4 = 0. Let l = 20 + -8. What is the third derivative of 2*b**6 - l*b**6 - 181*b**2 + 175*b**s wrt b?\nAnswer: -1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 18\/19, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by (-2 + 128\/10)\/((-633)\/(-2110))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(175) + -1 + 4 - (1 + sqrt(175) + 2))**2 - (sqrt(7) - (sqrt(112) + -3) - -6*(sqrt(28)\/sqrt(4))**2))*6.\nAnswer: -272 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1706 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 1069, 3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - -3) + 217\/(-56))*-6. Let h(a) = a**2 + 3*a. Let p be h(-3). Determine r so that 0 + 3\/2*r**3 - y*r**4 + 0*r**2 + p*r = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(9*i - 9*i - 5*i)*(i + 0 + 0) in the form q + g*i + y*i**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 78. Suppose -2*n = -2, n - a = -3*x + 307. Is 2342*(1\/(-8) - (-70)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 95, 165, 261, 389?\n\"Answer: s**3 + 4*s**2 + 31*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50228171?\nAnswer: 7, 43, 166871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -14*n**3\/3 - n**2\/2 + 213*n - 1. Let b(h) = -21*h. What is r(b(u))?\nAnswer: 588*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137371 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = 2. Let a be (-4)\/(-6) + l\/(-6). Let q = 5 + a. Put q, 4, 2 in ascending order.\nAnswer: 2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 10. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15604 and 36284?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75751 by 1.\nAnswer: -75751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36584 - -1097401\/30. Calculate the common denominator of a and 2\/(-30) - (9 + (-37032)\/3600).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - 40*d**2 + 109*d - 293. Give k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 24 = -10*i - 2*b, 4*i - 3*b = -33 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -1\/7 (b) 0 (c) 2\/99 (d) 5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4416\/(-23))\/24*3\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*a - 19272 = 320*a + 10829 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -4*o, 9 = u - 5*o - 5. Let j(n) be the second derivative of 4*n**3\/3 + n**2 + 272*n. Let y(z) = 3*z + 2*z - 4*z. Calculate u*j(i) + 6*y(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009012 to 7 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) - 91\/(-14). Suppose -5*i = t*d - 25, d - 6*i - 23 = -i. Solve -2*z = -5*h - d, -4*h = 5*z - h + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n + 2. Let k be y(-4). Let c = -43 + -29. Is (k\/(-6))\/(6\/c) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61286, 61291, 61300, 61313, 61330?\n\"Answer: 2*d**2 - d + 61285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + a - 4*a = 1, -4*a = -4*v + 4. Let s = 4 + -6. Let z = 1 - s. Solve -4*l - f - 9 = v*f, 0 = -5*l + z*f + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let j be 2\/(q - (-204)\/99). Solve 5*y + 4*c + j = 0, 4*c = -4*y + 15 - 43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -7\/40*p**5 + 0*p + 14*p**2 + 0 - 9\/4*p**3 + 1\/80*p**6 + 15\/16*p**4. Determine q, given that b(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 34*x - 256. Let i be s(8). Suppose f - 2*n = 239, -13*n + i*n + 711 = 3*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/2)\/h**(-3)*h**(-2\/5)\/h**(1\/8) assuming h is positive.\nAnswer: h**(159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -211439584 rounded to the nearest 1000000?\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (1*(-3 + sqrt(275)*2 - (sqrt(11) + sqrt(11) + 3 + -1*sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(3) + 1)))**2)*1.\nAnswer: -98*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -514 + -2 + -7*14\/(-49). Let i = r + 510. Which is the nearest to -2? (a) -0.2 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**3 - 15*r**3 + 10*r**3.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 1\/2 (c) 79 (d) 6 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -106\/1465, -0.5, -5, 132, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 = 2*o - o, 0 = -5*f + o + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - ((-1*sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153))*-3 - (sqrt(153) + 1*sqrt(153))*4)\/(sqrt(90)\/(sqrt(1000) + 2*sqrt(1000))).\nAnswer: -390*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*t = -16 - 48, -5*r + 85 = 4*t. Let n(x) = -7*x. Let j be n(-3). Calculate the greatest common factor of r and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -1.300077. Round w to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 + -206. Solve 3*g - 2 = h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*d + 2*g - 7 = 0, -9 = -d - 2*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + w + 12. Let n(z) = -z**2 + 4. Let l(b) = 17*n(b) - 6*t(b). Let v be l(7). What is the smallest value in 4, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466677, 466697, 466717, 466737, 466757, 466777?\nAnswer: 466797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 21*u**2 - 6*u - 61. Is a(-21) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14940 - 14925. Calculate the greatest common divisor of p and 2655.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -435*n**2. Let p(c) = 24*c. What is p(j(b))?\nAnswer: -10440*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-316)\/(-3)*9\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-3)\/(-2))\/(68\/(-3944)). Suppose 24*h - 10 = -2*i + r*h, -i - 3*h = -5. What is the smallest common multiple of 87 and i?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -41, -40, -41?\n\"Answer: -a**2 + 6*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuy. What is prob of sequence yu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from yuqznynyyzunaa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0.37 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 2\/11, 6\/121, -4.7, 1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 31*w + 240. Let s be j(13). What is the greatest common divisor of 1626 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2805 and 1815?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9667 or -9955?\nAnswer: -9667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - -1. Let t = -21 + f. Suppose 5 - t = 2*q. Let y(o) = o**3 + 5*o**2 - 6*o - 2. Calculate y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8984384 divided by -4?\nAnswer: 2246096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 10) to base 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -912, -1846, -3660, -6648?\nAnswer: -11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 4*v - 2.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.544? (a) 3\/5 (b) -3 (c) 0.3 (d) 261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 4, c: 3, l: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -2. Let i = c + -20. Factor -6\/5*t**2 + 2\/5*t**i - 2\/5 + 6\/5*t.\nAnswer: 2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 16*h + 33. Let m be d(14). Suppose 0*t = m*t - 15. Find g, given that 5\/3*g - 2\/3 + 11\/3*g**2 + 4\/3*g**t = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 6. Let t be (-32)\/30 + 2\/3. Let f = 26 + -22. What is the second smallest value in g, t, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52.9 + 47.9. Put -0.07, -0.006, a in descending order.\nAnswer: -0.006, -0.07, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -33, -71, -123?\n\"Answer: -7*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15274*k + 3861*k**2 - 15273*k - 326*k**2 to the form w*k**2 + x + i*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*z**2 - 31*z**2 + 63*z**2 + 7*z**2.\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1169333*j**4 - 2*j**3 + 7796896*j**2 wrt j.\nAnswer: 28063992*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -0.9. Let i = 3780 + -3763.33. Let n = 0.67 - i. What is the second smallest value in n, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(125) + 1)*6 + 3*(sqrt(125) + 2))*-1.\nAnswer: -135*sqrt(5) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-7)\/14) + 3\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 164\/6. Let x = 38 - c. Solve 2 = -3*i + x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 2\/15, 136, -28?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423937999*d + 2423937999*d - 200*d**2.\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8522096207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 5, 3, -0.3, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001 + -10010?\nAnswer: -21011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/6 - 601*p\/6 - 201 = 0. Calculate p.\nAnswer: -2, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 841824 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: 198580 divided by -22\nAnswer: -99290\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsojrrrr. What is prob of picking 1 o, 1 r, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(363) + sqrt(363) + 4) + (sqrt(9)\/(sqrt(9)\/sqrt(3)) + 3)*-1)**2*3.\nAnswer: 126*sqrt(3) + 3972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -834772629 and -577.\nAnswer: -834773206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 18. Let c be f(-4). Let b be c\/(-10) + -27*(-16)\/120. Solve m - 2*l = -m + 2, -3 = -b*m - 2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d - 118. Let c be r(7). Let k = 61 + c. What is the lowest common multiple of 370 and k?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 16*m + 255. What is the least common multiple of 48 and 1\/(34\/1832) - (-10)\/m?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573961 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37813266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -42.7, -3\/7, 3, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12641267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -204830409, -204830411, -204830413?\n\"Answer: -2*v - 204830407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose -2*q = r*q - 80. Suppose 2*b - 2*v = 0, 5 = b - 5*v + 25. Calculate the highest common divisor of b and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88*(-2)\/(-2)*(72\/(-12))\/24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -29 + 8 - (-17 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4804033 kilograms to grams.\nAnswer: 480.4033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.081 - -0.568. Let f = -0.97 - i. Let c = f + 0.047. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16.196229 minutes?\nAnswer: 0.00160676875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfnnfffnnnnnf. What is prob of sequence ffn?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277, 1326, 1375, 1424?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -941 + -1195. Let k = 4955 + u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40140)\/(-1782) - 22)\/(38\/171)\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2414 to three dps.\nAnswer: 0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 99 = -1581. Calculate the remainder when 721 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2223, -0.1, 6, -0.5.\nAnswer: -0.5, -0.1, 2\/9, 6, 2223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 2\/3*g**2 + 2*g + 2\/3*g**4 - 4\/3.\nAnswer: 2*(g - 2)*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.612993\nAnswer: -0.612993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiigyiyi. Give prob of sequence iiy.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2849 + 235 = 0. Suppose r = h + h + v, 2*r - 3*h - 2053 = 0. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*112.58\nAnswer: -22.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 472*o - 186. Determine w(67).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 549293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 34 = -3*a, 5*a = 3*q + 26 + 27. Solve -5*h + a*h = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7850467 and 4622?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**2 + 8*o + 29. Let z(w) = 7*w**2 - 5*w - 19. Give 5*p(u) + 8*z(u).\nAnswer: u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 1115.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7860415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 95 - 2*b**4 + 82 + b**2 + 0*b**2 to n*b**4 + y*b**3 + j + q*b + h*b**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*j - 90*j + 124*j.\nAnswer: 196*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -7180.\nAnswer: 7185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 3*a**2 - 2*a + 2. Let z be x(-2). Let u = -10 - -6. Let h be 2\/u*-2 - -1. Solve 3*v + b + 1 = z*b, -9 = -v - h*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10327 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100313 + 2?\nAnswer: -100311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 729673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 2:20 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 - 2?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 1 + 7. Let u be 4 - h - (4 + -5). Let k(c) = -u - c + 8 + 3*c - 3*c. What is k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**3 + 3*f**2 + 8*f + 6. Let q(b) = -17*b**3 - 3*b**2 - 9*b - 7. Give -6*q(k) - 7*v(k).\nAnswer: -17*k**3 - 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -5*i**8\/336 + i**7\/42 - 5*i**2. Solve f(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kssiiqiqiskqqiq. What is prob of sequence kiks?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 5*k + 8 = 21*n, 0 = 3*k. Suppose 0 = -0*m + 4*m - 80. Solve -b - m = n*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-2) + 95\/90*-3 + 3 and 110\/(-36) + (-1)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/42 + 4*y**3\/21 - 12*y**2\/7 + 10*y - 2. Factor l(j).\nAnswer: 2*(j - 2)*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132875 - 58875. Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 f when four letters picked without replacement from nwwnfffnffffn.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 58, -19, 2 in descending order.\nAnswer: 58, 20, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, m: 2}. Give prob of sequence mbm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -13. Let f = 2 + h. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3*i - 3*i + 2*i**2) + (-i + 3*i + 0*i)*(-1 + 1 + i) + 3303*i + 183*i**2 - 3303*i.\nAnswer: 183*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/720 - j**5\/120 + j**4\/24 + 3*j**2. Let g(w) be the second derivative of x(w). Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**2. Let i(y) = -8*y**2. Let b(p) = 3*h(p) - 2*i(p). Let d = 39 - 27. Let s(r) = 3*r**2 - 14*r**2 + d*r**2. Determine s(b(k)).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5658 is divided by 99.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 183437787?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130947, -527938, -1189581, -2115870, -3306799?\nAnswer: -4762362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31104123452 - 2?\nAnswer: -31104123454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let g(o) = -6 - o**3 - 1 + 61*o**2 - 57*o**2 + 6*o. Let w = -6 - -7. Let v(f) = w*g(f) + 5*h(f). What is v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*i + 30*i + 4*i + (-5 + 4 - 1)*(-15 - 11*i + 15) as x + k*i and give k.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18493 + -7601. Suppose -h + 5*h = r. Calculate the remainder when (-2)\/9 - h\/(-63) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/3225 or 0?\nAnswer: -178\/3225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/2 + 9*v**3\/2 + v**2\/2 - 9*v\/2 = 0. Calculate v.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303*y**5 + 123*y + 402*y - 873*y**5 wrt y?\nAnswer: -11400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29852, 119390, 268636, 477602, 746300, 1074742, 1462940?\n\"Answer: 2*o**3 + 29842*o**2 - 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-19 + 0))\/2. Suppose -3*d + 6*d = h. Suppose -4*a + 7*a = 3*c + 75, d*a + 2*c = 75. Calculate the greatest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 1)*(-g + 132 - 127 + 3*g).\nAnswer: 10*g + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-75) - (-18)\/5)\/2. Are z and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4915, -1307?\nAnswer: 4915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510306 and 2856?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -19. Suppose -9 = d*b + 3*b. Put b, 5, -14 in increasing order.\nAnswer: -14, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65008 take away -0.4?\nAnswer: 65008.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 2*y**2 + 4*y. Determine n(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 891*b**2 - 26 + 56 + 530*b**2 - 31 - 2*b in the form p*b + y*b**2 + v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737419221?\nAnswer: 3, 7, 11, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/(3*sqrt(432) - sqrt(12)) + sqrt(102)\/(sqrt(24)\/(sqrt(16) - sqrt(4))))*1)**2*-5.\nAnswer: -1620\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c**3 - 7*c**2 - 3*c - 25. Let i(s) = -45*s**3 + 8*s**2 + 3*s + 24. Determine -6*h(l) - 5*i(l).\nAnswer: 21*l**3 + 2*l**2 + 3*l + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 1756*q**3 - 251620*q**2 - 517033152*q = 0. What is q?\nAnswer: -432, 0, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1982 and -0.60491?\nAnswer: 1981.39509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1386 and 113\/1848?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -2077, -3115, -4153?\nAnswer: -5191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z**(2\/11)*z))*(z**(-1)*z)\/z*(z*z**(-1\/2)*z)\/z*z**(1\/9)\/z*z)\/((z*(z**(-2)\/z)\/z)**(-2\/21))**30 assuming z is positive.\nAnswer: z**(-8009\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -1291*q + 1270*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. Let y be (45\/(-3))\/(1 - 2). Suppose 3*b = -4*r + y, -m*b - 2*r = -8 - 1. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1009817181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1338, 1\/4645, 5 in ascending order.\nAnswer: -1338, 1\/4645, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*371614.\nAnswer: 1114842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*v - 17*v - 611*v - 844*v - 1400*v as f + l*v and give l.\nAnswer: -2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0.3, -5.\nAnswer: -6, -5, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 29*n**2 + 90*n - 159. Let a be c(-32). Solve -a*o = -39 - 126 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90557.0474 rounded to zero dps?\nAnswer: -90557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 21 = 2*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**7\/490 + 27*u**6\/280 - 44*u**5\/35 - 2229*u**2. Factor c(k).\nAnswer: -3*k**2*(k - 16)*(k - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172712307.\nAnswer: 3, 149, 386381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -360, -510, -720?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k - 23 + 23)*(-59*k - 8*k - 2*k).\nAnswer: 621*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 16*b**2 - 40*b.\nAnswer: 2*b*(b - 2)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - 45.6. Let r = -47.0001 - c. Round r to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4555 = -4*n, -3*n - 4 + 10 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**12)**(-16))**(-45))**22)**(-41) assuming v is positive.\nAnswer: v**7143840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - t, 3*b + 3*t - 4 = 8. Let i be 6 + (-1 - 2) + b. Suppose i*d - 25 = -d. Solve -3*x + d + 1 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19569060 and 155310?\nAnswer: 19569060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 4501 = -5483. Let s = 389 - t. Solve 2*a + a = 4*v - s, -5*a = v - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.328 + 0.032. Let z = -7.66 + u. Round z to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37603, 75279, 112943, 150589, 188211, 225803, 263359, 300873?\nAnswer: 338339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-9))\/(102\/306)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 38*o + 11039 - 10022, -3*o = 4*a + 93 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((4 - (2 + 4)) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*v + 8 = -86*v. Factor -3\/4*y + 0 + 3\/4*y**v.\nAnswer: 3*y*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*z + 79. Suppose 5 + z = 5*k. Let y = -5 - -9. Calculate the greatest common factor of k and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let l(s) be the first derivative of -s**3 - 1. Calculate l(t(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7*i - i - 9*u = 3*i + 3*i + 51, 4*u = -6*i - 32 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*p - 13, 0 + 2 = 4*o + 5*p. Let q be 6\/(o + 0) + 1. Solve -4*v - q = 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 32*d - 5. Let t(r) = -2*r**2 - 7*r + 1. Let o(z) = q(z) + 3*t(z). Determine o(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 9*b**2.\nAnswer: b**2*(b - 3)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6774.377 years to decades.\nAnswer: 677.4377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1427, 1882, 2059, 1964, 1603, 982, 107, -1016?\n\"Answer: h**3 - 145*h**2 + 883*h + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-70))\/(4\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 419886 and 42?\nAnswer: 2939202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 194 (c) -4\/13 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 2, y: 3, r: 7, k: 4}. Give prob of picking 2 g and 2 y.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-10))\/d*d*d\/d**(-11)*(d\/(d\/d**(2\/3)))\/d**(2\/7) assuming d is positive.\nAnswer: d**(71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b - c + 884, -3*b + 4*c - 1313 = 0. Is b > -3078\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3907241.8+-0.2\nAnswer: -3907242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 94\/(-8)) + (-562 - -552)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 8*b = -3432. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 7)*(2*j**2 + 16*j - 16*j).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**2 - 5*n. Suppose -44 = 5*l - 14. Let o(z) = 7*z**2 + 11*z + 25*z**2 + 33*z**2 - 72*z**2 + 28*z**2. Calculate l*o(h) - 13*t(h).\nAnswer: 4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 14*z + 20. Determine k(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.52618g to kilograms.\nAnswer: 0.08952618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52895, -52423, -51951, -51479, -51007, -50535?\nAnswer: -50063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*s - 8485, 2826 = b + 13*s - 9*s. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*a = -3480*a - 675 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47341?\nAnswer: 7, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -2\/9, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 475 and 152.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -19*w - 152. Let v be h(-8). Suppose v = 149*b - 140*b - 3024. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22157 + 22176. What is the lowest common multiple of f and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from nalbira.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 688 + -641. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12683836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jebw when four letters picked without replacement from {b: 2, e: 2, w: 3, j: 8}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146944?\nAnswer: 2, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*v + 3*y - 13, -4*y = -3*v + 74. Let w = -2 - -5. Let a(k) = k**2 + 7*k - 4. Let d be a(-8). Solve d*c - 3*s = 9, -5*s + w - v = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 1 - 1 - 3*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 118 - 98 = 0. Suppose 0 = -k - k + h. Let f(u) = 2 - k + 3*u - 4*u. Let n(i) = -2*i**2. What is n(f(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + -3 - (1 + -1315) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g - 52*g - 68*g as w + k*g and give k.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + 2*m + 4. What is z(-5)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 5) + 2*-1. Suppose 0 = 5*x - h*x + 115. Is (-4)\/6 + x\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 - 344. Let l(n) = -3*n + 2. What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2 + (1 - 4 + 1)*(-2 - 2 + 5))*(4*q**5 - 4*q**5 - q**5).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t + 12 = -4*x, 2*x = 5*t - 12. Suppose 2*y = 4*c + 4, t*y - 22 = 2*c - 7*c. Let r(g) = g + 4. What is the units digit of r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -10.8. Let n = h + -11.000063. What is n rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t**5\/t)*t)\/t*t*t**(2\/11))**(3\/17)*t**(-1\/4)*t**7*(t**1)**25 assuming t is positive.\nAnswer: t**(23641\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 + 6180949\nAnswer: 6180949.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8 + 396\/(-99) + (-3358)\/(-1752).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11989*l**3 + 14*l**2 - 7*l + 21. Let g(v) = 3996*v**3 + 4*v**2 - 2*v + 6. Give 14*g(k) - 4*i(k).\nAnswer: 7988*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 34, 21, -8, -59, -138, -251?\n\"Answer: -u**3 + u**2 + u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a. Is a less than or equal to -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168470300 rounded to the nearest one hundred thousand?\nAnswer: 168500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7, w: 11, y: 2}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 786446, 1572897, 2359350, 3145805, 3932262, 4718721, 5505182?\n\"Answer: t**2 + 786448*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -105*g + 8616. What is b(82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = z - 8, -2*z - 47*x + 46*x - 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {q: 1, z: 4, w: 1, a: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = 7. Suppose -z = r*z. Is z greater than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354792 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 53 - (5 + 2 - 4). What is the remainder when q\/650 + (-1559)\/(-13) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r**5\/3 - 376*r**4\/9 - 11*r**3 + 130*r**2 - 644*r\/9 - 8 = 0.\nAnswer: -2, -2\/21, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 9. Suppose 3*n - 13 = 14. Let q be y(n). Suppose -9*g - 5*g + 1764 = q. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 265\/374012.\nAnswer: -2\/5, 265\/374012, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k + 1. Let r be 2*(-3)\/12*-2. Let a = r + 3. Calculate the remainder when p(a) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -49*s + 72. Let i be h(7). Let k = -210 - i. List the prime factors of k.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*u**3 + 22*u**3 + u**3)*(-u + 0*u + 0*u) to d*u**3 + s*u**2 + j*u**4 + x + y*u and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.927 less than 1397690?\nAnswer: 1397686.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 269280 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4254 take away -1?\nAnswer: 0.5746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1, -9\/5, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.7. Let a = 19.7 - 1.7. Let d = a - 17.8. Sort w, 2\/9, d in descending order.\nAnswer: 2\/9, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -21014756.\nAnswer: -21014765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03082471 rounded to 5 decimal places?\nAnswer: -0.03082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65902 (base 13) to base 15\nAnswer: 39734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228648, -914599, -2057842, -3658371, -5716180, -8231263, -11203614?\nAnswer: -14633227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9d5 (base 15) to base 3.\nAnswer: 11101210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 239476 = -113532. What is g rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.3 (c) -4\/7 (d) -204 (e) -118 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 781*n**3\/3 - 13*n**2 - n + 126. Is d(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 4}. Give prob of picking 1 o and 2 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/(-2))*6. Let q(b) = 0 + b**y + 3 + 0*b**2 - b**2 + 4*b**2 + 3*b. Let x = 3 - 6. What is q(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let b be -1 - (-2 + 4\/(-1)). Suppose 0 = -2*h - 1 + b. Sort y, h, -2.\nAnswer: -2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-30186)*1508*1*9?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.888162ns to hours.\nAnswer: 0.000000000003580045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let y(j) = 2 + 3*j - 1 - 4*j + 10*j. Give y(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = b + 4*b. Suppose -4*z + 2 = -4*v + 6*v, 2*v + b*z - 2 = 0. What is the units digit of 12\/16 + v\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2280 - 2241) + -2 + -83?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 - (-1)\/(55\/2216325) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21171 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 1, s: 3, l: 3}. What is prob of sequence slx?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 6*v + 2. Let z be k(-6). Solve f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 - 2*y - 1\/6*y**3 - y**2. List the prime factors of x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12) + (-314)\/(-8). Suppose 144 = -57*a + 2082. Let q = g - a. Solve 4*n + q*y = 2*n - 11, n = 3*y + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a factor of 125630027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + 0*b)*(b + b**3 - b)*(-2 - 2 - 1).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.491 + 0.231. Round i to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5593, 11187, 16781?\n\"Answer: 5594*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-68\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfy when three letters picked without replacement from {n: 2, i: 7, y: 4, g: 1, f: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.91 + -0.09. Let x = -10.25 + 8.3. Let z = 0.05 - x. Sort l, z, 1\/7 in descending order.\nAnswer: z, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-64)\/(-160) + (-13066)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-276) + (-1658)\/(-84) - 19)*(-1)\/(-5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -52, -121, -218, -343, -496?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - 313?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -21 - (-4 + 11 + (2 - 15))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183407063 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -323 + 319. Suppose 3*h - 5*h = 0. Sort -5, h, g in descending order.\nAnswer: h, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 2*k - 11. Let j be z(-8). Suppose -4*o + 452 = 4*v, -5*o = -2*o - 3*v - j. Suppose f - o = -3*f. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32664 - 16085 - 17711)*(-m + 2*m**2 + m) to q + x*m + v*m**2 and give v.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -16, 3.\nAnswer: -16, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**3 - 910*g**2 - 108*g + 319. What is the ten thousands digit of h(114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 14) to base 4\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835811 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - 7*l - 10. Let x(p) = p + 4. Let s be x(-4). Suppose v + s = -5. Let q be g(v). Solve 2*h - 4*h + 4 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433680814.\nAnswer: 2, 7, 19, 1630379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**18*i*(i\/(i*i**11))\/i)\/(i*i\/(i\/(i**(-5)\/i))*i*i**(-9)) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 171. Is -27 + 31 - u*-1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16265496 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 779 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26627 is divided by 8311?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a factor of 3641881657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*y - 39, 6727*y - 10 = 6729*y for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -16. Suppose i + 0 = 4. What is the smallest common multiple of i and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 2*o - 2*o)*((1 + 4 - 1)*(0 + o + 0) - 6 - 67*o + 6 + (0*o + 6*o - 2*o)*(0 - 2 + 10)) to the form i*o + b + x*o**2 and give x.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*(-5)\/50)\/((-17)\/49189415) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x + 19. Let v(a) = -5*a + 9. Give 6*t(p) - 13*v(p).\nAnswer: 11*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 398\/46373 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**3 - 4*v**3 + 19 - 35 - 7*v**3 + 21*v**3 - 7*v**2 + 3*v. Let j = 40 + -33. Let i(f) = 2*f**2 - f + 5. What is j*i(d) + 2*n(d)?\nAnswer: -2*d**3 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 10*i**2 - 14*i + 1. Let l be r(-12). Suppose 124 - l = -w. Suppose -w = -2*s - s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 37293*j + 7607740. What is u(-204)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7596?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -9206*w + 9246*w + 61. Which is the closest to -24? (a) -0.4 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*u - 294*u - 1 = -13. Put -1, -9, 0, u, 1 in increasing order.\nAnswer: -9, u, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Let n be (x + -1)\/(-1) + 5. Let t = n + -2. Calculate the least common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 100 = -2*s - 8*i, -3*s + 5*i - 188 = 0. Let w be (42\/(-273) + s\/(-26))\/16. Sort 5, 4, w, -2\/7 in decreasing order.\nAnswer: 5, 4, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 (base 10) to base 7\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26152 is divided by 415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47799 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -364 + 368. Suppose 4 = 4*h + 2*f - 10, 19 = u*h - 3*f. Suppose 3*a - 2 = 1. Solve -3*r - a = -h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 - -158. Which is the closest to 1\/3? (a) -2\/3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 9*h - 3. Suppose -j = -5*x - 6*j + 35, -5*x - 2*j = -44. Let k be (-6)\/x - (-99)\/15. Give q(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8425397 micrometers?\nAnswer: 0.0000000008425397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-8)*(-1)\/(6\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 + -165. Let r = z + -178.4. What is the third smallest value in r, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1522, 1528, 1534?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729672 is divided by 130?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174058 and -21.\nAnswer: -3655218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - 3) + -134 + 178.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2 - 38 - 4*n**3 + 38 - 3*n - n.\nAnswer: -4*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -1) + 100 + -109.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkylpyywpwyklryywwyy. What is prob of picking 1 l, 1 p, and 2 y?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 266, 564?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1316 times -30\nAnswer: -39480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 43*h**2 + 17*h - 29. What is the remainder when 543 is divided by j(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**3 + 2*x**2 - 5*x + 2. Let h(k) = -44*k**3 + 6*k**2 - 14*k + 6. Let g(s) = 8*d(s) - 3*h(s). What is the second derivative of g(p) wrt p?\nAnswer: 72*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.1 (c) 0.28 (d) 5 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxnpllnpxp. What is prob of sequence lln?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3844*h**3 - 229896*h**2 + 44604*h - 2160 = 0?\nAnswer: -60, 3\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s. Let d be k(5). Suppose 5*i - 260 = q, -4*q - 156 = -5*i + 2*i. Suppose w + i = d*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(6\/5)*3. Suppose 5*b - 2*b + 4*g + 940 = 0, 0 = y*b - 4*g + 1556. What are the prime factors of b\/16*8\/(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) - 268\/(-8). Suppose -m = -2*x - 2*x. Solve 4*b = 2*b - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 4*t**7\/21 - 2*t**6\/3 + 4*t**5\/5 - t**4\/3 - 8*t. Factor x(p).\nAnswer: 4*p**2*(p - 1)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 3098955*f - 415170190.\nAnswer: -5*(f + 134)*(f + 619657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.44 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -32*h**2 - 2622*h + 10648. What is o(4)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 17. Suppose 52*q - l*q = 212. Let o = q + -62. Which is greater: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57743, 57744, 57745, 57746, 57747?\n\"Answer: w + 57742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) - 10\/(-6). Let d be 4 + -2 + b + 32\/(-1). Let v = 31 + d. Solve 3*c = p + 4, -v*c - c + p + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcg. Give prob of sequence gc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 9*y + 12*y - y**2 + 6 - y**2 - y**3. What is the remainder when 29 is divided by p(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = 4*s. Put -3, 4, s in ascending order.\nAnswer: s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/30 and 151\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4042.062 decades?\nAnswer: 404.2062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 + 18 = 59*n. Solve n*v - 4 = -28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914112*y**3 - 97217136*y**2 - 2584795827*y = 0 for y.\nAnswer: -29353\/552, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 796.\nAnswer: 100296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzqm. What is prob of picking 1 z, 1 m, and 1 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -82*m. Let a(q) = 41*q. Give -9*a(k) - 4*z(k).\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1082 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1*(-2516)\/34. Suppose -9*i + a = -2246. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h + 0*h**2 - 5*h**2 - 2*h**2. Suppose 40*s - 97 - 263 = 0. Let a(j) = -15*j**2 - 9*j. Let m(p) = s*q(p) - 4*a(p). Let z(w) = w. Calculate z(m(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 133617*r**2 + 7 + 1.\nAnswer: 133617*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.794 and -38.\nAnswer: 486.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -30. Suppose -w*i - 10 = i. What is the closest to i in -2\/23, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 3)*1 - ((-2340)\/(-27))\/(-13)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -35*z**3 + 6*z**2 - 12*z - 239. Let y(o) = 36*o**3 - 7*o**2 + 14*o + 241. Let s(c) = -7*w(c) - 6*y(c). What is the first derivative of s(j) wrt j?\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 127*q**3 + 300*q**2 + 203*q + 34.\nAnswer: -(q - 34)*(q + 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 3*v - 1. Let z(l) = -93*l**2 + 3*l + 2. What is 2*j(y) + z(y)?\nAnswer: -95*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1236\/(-9)*(-3)\/(-18). Which is greater: d or -25?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460156 = 298*d - 7065*d for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = -5*f - 2*c - 675, 0 = -2*f - c - 496. Let w = -152 - f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 + 2472*m**2 - 1671525*m + 173367054 = 0. Calculate m.\nAnswer: 126, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 64. Calculate a(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5703.737 millilitres?\nAnswer: 5.703737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + -1 + (-4 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130300032 - -130201?\nAnswer: -1130103231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(84\/(-96))*294\/12)\/(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:03 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*w + s + 4*s, 0 = 5*s - 25. Let z = -8 - w. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 400.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44459?\nAnswer: 23, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkookokooookkokkko. What is prob of picking 4 k?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2054\nAnswer: 3\/2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -446 * -611.929\nAnswer: 272920.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 l, 1 x, and 1 p when four letters picked without replacement from yxpglpmlm.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -527\nAnswer: -5\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1552279 and 3308?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - d - 29, 2*h - 5*h = -4*d + 101. Let g = h - -43. Let q = g + -2. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 105. What is the nearest to -1 in z, 3\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -53, 1477, -2\/5, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j + 85. Let d = 31 + j. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/(-147))\/(8 + (-495)\/63)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/30)\/((-3)\/36)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 368*i**2 + 1882*i + 1512 = 0?\nAnswer: -4, -1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -220 + 106 + 117 + 6*s. Let k(g) = 1. Determine 6*k(m) - 2*x(m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 - 7*m - 8. Let b be j(-6). Is b <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1477087040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m + 2. Let p be j(-6). Let k = -2 - -5. Suppose -q - 2*s - k*s = -36, -20 = -q - s. What is the greatest common divisor of p and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -372070.\nAnswer: 3\/186035","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 2, f: 1, z: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078486 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: Suppose 3*n + n = 444. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 131 = -4*l, 149 + 46 = 5*b + 5*l. Suppose 4 = 3*g - b. Suppose 0 = 5*x + g. What is the third smallest value in -4, -3\/7, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3236 - 650438\/201. Is 1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 44*h. Let p be a(0). Let y(f) be the first derivative of 5 + p*f - 4*f**2 + 4\/3*f**3. What is d in y(d) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 4*z**3 + (0*z - 3*z + 4*z)*(2*z**2 - 4*z**2 + 0*z**2) + 4*z**3 - 10 + 10)*(-12*z**2 + 17*z**2 + 66*z**2).\nAnswer: 426*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:39 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from {w: 2, y: 4, k: 1, r: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/429)\/4 - (-43994)\/725901?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w - 2. Let i be w\/(-3) + 10\/3. Let z be (-6)\/(-8*2\/i). Sort -0.3, -1, z in descending order.\nAnswer: z, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 4*143\/(-52)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 32.000016. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 10*n - 2430. What is the lowest common multiple of n and 7?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 4, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 29 = -5*c + 35*d, c = -20*d - 378 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 4*y)*(-43*y**3 + 42*y**3 + 2 + 5*y**4 - 3).\nAnswer: 15*y**5 - 3*y**4 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 939, 891, 839, 783?\n\"Answer: -2*u**2 - 42*u + 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 + 2?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/23, 0, 0.1, -6995.5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - -8*(-135)\/(-18). What is the units digit of 6\/((2\/(-18))\/((-680)\/g))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703219, 703280, 703341?\nAnswer: 703402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/339 or 0?\nAnswer: -25\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*o - 154 + 1694. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148*o**2\/3 + 1040*o + 84.\nAnswer: 4*(o + 21)*(37*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrrykyykkryrrm. Give prob of picking 1 k, 1 r, and 1 m.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4355890 and 137060.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyyyzyykz. Give prob of picking 1 z, 1 y, and 1 k.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 41999.3 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*n + 70, -w - 4*n = -2*w + 34. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 17*k + 13*k - 5 to z + a*k and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23549137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/115936 and -7\/32.\nAnswer: 115936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*f + 5280 = 154*f. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 + 131. Does 7 divide (-2)\/(-11) - 688\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 2*w)*(1 - 1 + 8).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by -670.\nAnswer: 247\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514106195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -290277134 times -0.2\nAnswer: 58055426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -3, -26, 6, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13616*d**2 + 6009*d**2 - 8492*d**2.\nAnswer: -16099*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 86. Give h(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5897 = -404*b - 3579 - 2178 + 32584 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20)*(2 + (7 - 7))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 9*g**2 - 12*g + 37. Let l be v(8). Suppose -6*c + 13882 = l*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1615, 1613, 1611, 1609, 1607, 1605?\n\"Answer: -2*u + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 5*z + 15. Suppose -284 + 14 = -3*f. Suppose -11*n - 4*n = -f. Let w be h(n). Calculate the greatest common factor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 247423\nAnswer: -74226.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Let d be o(5). Suppose 144 = -2*p - 4*p. Let r be d\/((-28)\/p) + -3. Solve -a + 2*b + r*b = 9, 0 = a + 3*b - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*9*16\/72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - w - w - 6 = 0, 15 = -2*f - 5*w. Let o(c) = f + 6*c**2 - 5*c**2 - 2. Let y be (0\/(-1))\/(-1 - 1). Determine o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*l**3 - 11*l**4 - 33*l**3 - 30*l**3 + (l + 0*l + l)*(-2*l + 2*l + 2*l**3) as r*l**2 + h*l**3 + f + y*l + c*l**4 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 578720144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132133200 (base 4) in base 3?\nAnswer: 201122220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 3*l + 1, -3*n - 5*l + 25 = 0. Let k(q) = -4*q + 8*q + n - 6*q. What is the remainder when k(-5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006421653 rounded to six dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 0*g - 106 + 29\/2*g**2. Let k(r) = 2*r**2. Calculate o(k(s)).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(147) + -4 + ((-4*sqrt(238))\/sqrt(7))\/sqrt(2).\nAnswer: -27*sqrt(17)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v + 7*v**2 - 23*v + 5*v - 4*v - 3*v.\nAnswer: 7*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (92 + -109 - (-1 + -7)) + 9. Let h(y) be the second derivative of -1\/5*y**5 + 0 + l*y**4 + 4*y - 4*y**2 + 2*y**3. Determine u, given that h(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let o(c) = -c**3 + 5*c**2 - 3*c - 4. Let a be o(r). Let k(u) = -u**2 - 6*u + 10. Let b be k(-7). Sort 0, a, b in decreasing order.\nAnswer: a, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 8*x - 8. Suppose -s - 1 - 2 = -l, -2 = 4*s - 2*l. Let b(f) = -14*f - 2*f**2 + 3 - 20*f + 31*f + 4*f**2 - 3*f**s. Calculate -8*b(m) - 3*v(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 25*g + 52. What is n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (6 - -6) - (-1 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 4, -4 in descending order.\nAnswer: 14, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 7. Let p(a) = a**2 + 1. Let k(i) = -4*p(i) + t(i). Suppose f - 3 = -4*j, 5*f + 14 = j - 13. What is the tens digit of k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 704 - 700. Solve 27 - 39 = y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508178947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/4 - 2\/(-4). Let u be 14\/6 - (-6)\/m. Solve u*g - 8 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(1\/3)))**34)**8 assuming o is positive.\nAnswer: o**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 207389?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 228953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4271 + 2358. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1708123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3731250\/(-12)*192\/15. What is i rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 131488110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14312 and 848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -961530959, 4, 1 in descending order.\nAnswer: 4, 1, -961530959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/5 - 23967*s**2\/5 - 53054352*s - 506967408576\/5 = 0. What is s?\nAnswer: -3384, 14757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -543\/8*u**2 + 495\/2*u + 33\/4*u**3 - 675\/2 - 3\/8*u**4 = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3\/(3\/(-2))). Suppose 3*j + 25 = -2*j, t = -3*w + 2*j + 7. What are the prime factors of (w\/3)\/((-1)\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5) + (sqrt(45))**2 + 0) - sqrt(5) - (sqrt(5) + 1 + 5)**2.\nAnswer: -86 - 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097367 is divided by 182876?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 10. Let p(b) = -1. Let o(t) = l(t) + 3*p(t). Let i be o(9). Let u(y) = y. Give u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3878180057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -707557\/7 - -100894. Let y = 185 + x. Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, p: 2, c: 1}. Give prob of picking 2 s and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 37*c + 18*c + 4*c.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -2\/3 (c) 1\/6521 (d) 31\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/85 - 89\/170. Let s = -178.1 - 0.2. Let f = 178 + s. What is the nearest to -1 in y, -5, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -1231034 (c) 1.9 (d) -1\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.72 and 4?\nAnswer: 58.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49 + 2758 + 9*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**3 - 2*u**2 - 50*u + 1108. Let t be r(-43). What is t rounded to the nearest one thousand?\nAnswer: 795000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(288) - (sqrt(288) - (1 + sqrt(288) + 0 + sqrt(288) - sqrt(288))) - (sqrt(288) + -2 + -5 + sqrt(288))))**2.\nAnswer: -288*sqrt(2) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*w = 65, 4*p - 45 = 20*w - 25*w. Solve -10*u = -20*u - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (14 - -5) + 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 5 + 2 + 3 + -5. Let c(v) = 5*v + 40. Let a be c(d). Let m = 40 - a. Which is smaller: m or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27212 times -4\nAnswer: -1.08848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 0 - 148*p - 4*p**2 + 148*p + 14.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2. Let p(z) = -2*z + 5. Determine i(p(m)).\nAnswer: -4*m**2 + 20*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**2 - 1 - s**2 + 5*s + 3. Let n be a(-3). Let r = 174 - n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {g: 13, t: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 47*z**3 - 28*z**3 - 18*z**3 - 2*z**2 to x*z**3 + a + u*z + v*z**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -866466 divided by -144411?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(4\/(-6)). Suppose -q - r = 10. Is -10 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 9*y + 54.\nAnswer: -3*(y - 3)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 - 2*k**2 - 3*k**2 - 3*k**3 - 4*k**3 in the form q + i*k + h*k**2 + s*k**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -0.0882, 2\/5?\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317696 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -0.3, 0.2, -4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 16354?\nAnswer: -16368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 18 = 22, -5*h - 3*g = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*g*p**2 + g*p + 34*p**2 + 1450*p - 1 wrt p.\nAnswer: 164*g + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 3\/4 (b) 196 (c) 11 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 11:00 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + 3*b + 1, q = b + 5. List the prime factors of 1\/(q\/235)*6.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3 + (0 - 1). Let n = 1.875 - -0.125. Let g = 585 + -584.5. Which is the closest to h? (a) 1\/4 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946204354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.35748 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*w - 14, 5*w - 30 = -5*t + t. Suppose 4*q = t + 6. What is the tens digit of (-2)\/(246\/63 - q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 577ea - -8d?\nAnswer: 57888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001279 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) 1 (c) -1\/152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 984659\/48 - 20512. Find the common denominator of q and (2\/(-15))\/(12\/477).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-5))\/(-3))\/(9\/15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvzbzvvbkbvzvvudkv. What is prob of picking 1 k, 1 v, and 1 d?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7060)\/40)\/(2\/4). Let j = -78 - z. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/20 + l**4\/3 + l**3\/2 + l**2 - 4*l + 35. Suppose -1 = 5*r + 9. Calculate z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133 and 343673827.\nAnswer: 343673694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 26*o - 20. Suppose -6*t + 412*j = 414*j, -2*t + 34 = -5*j. Calculate d(t).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1828 - 74?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(3*(sqrt(2) + sqrt(8)) + sqrt(2)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -16, -69, -5, -6, 3\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -1\/425, -659?\nAnswer: -1\/425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**3 + i**2 + 19*i - 1. Determine g(4).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let v(c) = 7*c + 3. Let i(b) = -24*f(b) - 3*v(b). Let n(l) = 6*l. Let w be n(2). What are the prime factors of i(w)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/((p**(-7)*p*p)\/p))\/(p**(-1)\/(p*p**3)) assuming p is positive.\nAnswer: p**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v. Let c(q) = -1296*q**2 - 5*q + 11. What is t(c(n))?\nAnswer: -18144*n**2 - 70*n + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000474311 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128\/183 - -2\/61. Let h = 7 + -5. Put 0.3, x, h in descending order.\nAnswer: h, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d - 68. Let k(u) = 23 + 785*u - 262*u - 263*u - 263*u. Calculate 11*k(n) + 4*s(n).\nAnswer: -n - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -60 - 9300. What is the greatest common factor of l and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 + 3*r**5\/20 - r**4\/4 - r**3\/2 + 18*r**2 + 2*r. What is the second derivative of q(d) wrt d?\nAnswer: -6*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o + 7. Let p = -7 - o. What is the lowest common multiple of 6 and (-16)\/(-12)*(9 - p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27158693 divided by 1?\nAnswer: -27158693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 2*r**3 - 14*r - 9*r - r**3 to the form a + h*r + x*r**3 + q*r**2 and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from wjjwjjjrjwff?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) - sqrt(128)) + 5 + sqrt(17) + sqrt(17) + sqrt(17) + 1)**2.\nAnswer: 32*sqrt(17) + 1412\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4701475510 to the nearest one million.\nAnswer: -4701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = 3800. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 19. Let g = -1375\/7 + 196. Which is the nearest to w? (a) 3 (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11792 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-344)\/16 - -9)*4\/7 - -7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 3*s**2 + s + 3. Suppose 12*v + 100*v + 282 = 18*v. Let i(l) = l**3 - 5*l**2 + 2*l + 5. Suppose -5*c = -13 - 12. Determine c*x(k) + v*i(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/24 - 3*k**3\/2 + 2*k**2. Suppose -3*w + 5*u - 7 = 4*u + 15, 14 = 2*u. Calculate n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6703 times -0.2?\nAnswer: -0.93406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5964\/(-35))\/(12\/40). Let i = g + 570. Solve 2*v - i*y - 22 = 2*y, -y - 13 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h. Let k(a) = -138293350*a. What is p(k(f))?\nAnswer: 553173400*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -32.4. Let i = 1048 - 1054. Which is the fourth biggest value? (a) -1\/4 (b) p (c) -4\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose o*r + c = 270 + 207, 4*r = 3*c + 949. Suppose 3*h = h + r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 52*u + 59. Is 19 a factor of g(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let o(d) = 8*d - 5*d + 2 - 3*d**2 - d. Let y(h) = h**2 - h - 1. Let z(j) = 5*o(j) + 10*y(j). Calculate a(z(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 3. Let v be n(2). What are the prime factors of 26 + 4\/(v - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 9*d**2 - 10*d - 15. Let l be (-10)\/25*1*25. Let f be m(l). Let s = f - -54. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**6\/6 + p**5\/3 - p**4\/6 + 24. Determine z, given that o(z) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/24 + 91\/780. Let w = 2\/107 + 204\/535. Suppose 1\/5 - w*q + r*q**2 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - 518\/(-42))*42\/4. Solve -12*w = t - z*w + 6, 0 = 3*w - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196 divided by -41557.\nAnswer: -1196\/41557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6*37.18.\nAnswer: -133.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 4997*y - 2718540.\nAnswer: (y - 495)*(y + 5492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 6.09. Let q = -3 + w. Which is the second smallest value? (a) -0.3 (b) 1.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69248315 times -0.1?\nAnswer: -6924831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36652057?\nAnswer: 13, 47, 223, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/1260 - q**6\/360 - 11*q**5\/120 - q**4\/4 + 2*q**2. Let i(j) be the second derivative of d(j). Does 23 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1359.\nAnswer: -543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -6778*h**7\/7 - 2465*h**3\/3 - 5714. What is the third derivative of o(y) wrt y?\nAnswer: -813360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117920863.\nAnswer: 79, 14150897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -1.2. Suppose -3*t = 10 - 1. Let i = t - -4. Sort o, -4\/3, i in ascending order.\nAnswer: -4\/3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**5 + l**4 + l**2 - l + 1. Let p(i) = 12*i**5 + 2*i**4 - i**2 + 13*i + 2. Let d(k) = -p(k) + 2*t(k). Find the second derivative of d(g) wrt g.\nAnswer: -200*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, -1.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.035649 rounded to three decimal places?\nAnswer: -5.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004, 986, 968, 950, 932, 914?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -13 + (-594)\/(-36))*16\/14. Suppose -y + 6\/7*s**3 - 24\/7*s**2 + 30\/7*s = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27747079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255679547 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -4 - (0 + -2). Suppose -b*n = -42 - 78. Calculate the greatest common factor of 270 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = -1. Suppose -k + 3 = 2*k. Let p be (k - 2\/4)*0. Sort p, d, 5 in descending order.\nAnswer: 5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-120)\/206) + 7.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10326 (base 7) in base 5?\nAnswer: -40233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389712 divided by 97428.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 60930342*b + 71. Let j be c(-1). Let p = 12130271 + j. What is p rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 8. Suppose -m*r + 14 + 0 = i, 2*r - 4 = i. Solve -3*k + 4*d + 5 = r, 2*d = 3*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -2\/3 (c) -0.2 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 291491.\nAnswer: 8744.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 59674545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2500 + -1657. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 38*k - 135. Calculate i(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20250956 - 0.46?\nAnswer: -20250956.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 + 7*i**4\/3 - 6*i**3 + 22*i**2\/3 - 13*i\/3 + 1.\nAnswer: -(i - 3)*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -3 (c) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(228)*-6)\/(sqrt(768) - (sqrt(768) - 3*4*sqrt(768) - sqrt(768))).\nAnswer: 12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 122.23. Is 3 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-12))\/(2 - (-93)\/(-45)). Solve 4*f - w*r + 11 = 0, -2*f - 3*r = r - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200 + 202. Suppose -2*t = r*c - 24, -2*c - c + t = -32. Calculate the lowest common multiple of c and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 143956 = 52*b. Suppose -b = 7*r - 14570. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*f - 15 + 414 + 216 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + 1 - 11\/(-11). Let y(g) = g + 10. Let j be y(l). Solve -j*u = -2*f + 18, u = -0*u - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221110121 - 0?\nAnswer: 1221110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 10307.5 and 27.3168.\nAnswer: 10334.8168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/56*11\/((-77)\/28)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10035596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0 - 1\/2*u**2 + 814*u = 0.\nAnswer: 0, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 23*w**2 - 2. Let y be s(-23). Suppose 5*z + 5*d + 160 = 0, -5*z + d - 192 + 8 = 0. Let a be y\/(44\/z + 1). Solve 0 = 5*q + a - 34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 30 = -3*h. Suppose 2*j - 2*v = -v + 10, 2*j = -2*v + h. Let u be 1\/1 + 13 + -14. Solve 0 = -5*y - u + j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - o - 1. Let m = -2 + 3. Let u = -2 + m. Let b = -2 - u. Give w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ietemyg. What is prob of sequence gtm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-7)\/28*3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -30.2. Let i = -6.806 - l. What is i rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-3)\/((-6)\/(-2)). Let v be -2*(0 - 5\/h). Solve -v*x + d = 21, -13 = 5*x + 3*d + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 14*f - 117. Let v be n(-18). Let d = 465 - v. Solve -4*t - 2*i + d = -5*i, 4*t = -2*i + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-306)\/816*8\/30)\/((-4)\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * -0.04.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 3 in ascending order.\nAnswer: -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87787051 to the power of 1\/2, to the nearest integer?\nAnswer: 9369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10303146 to the power of 1\/2, to the nearest integer?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 8:04 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -41.\nAnswer: -92\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k**3 + k**2 + k + 5. Let r(y) = 15*y**3 - y**2 - 4. Give -5*r(n) - 4*u(n).\nAnswer: -3*n**3 + n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 14. Let q be o(-6). Sort -1, -5, q in ascending order.\nAnswer: -5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 1, -15\/8, 0.4, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12994978 and 1826.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -103dc (base 14) to base 11\nAnswer: -274a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6*0\/(-1). Suppose b = j + 2*g - 2, -g = -5*j + 17 + 37. Calculate the least common multiple of 6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.9. Let p = 1.34 - 1.34. Sort 1\/4, v, p in increasing order.\nAnswer: v, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3837\nAnswer: 1\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5*(-258)\/(-602).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 244 (base 5) to base 2\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 162 + 183. Let w = j - 14. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:44 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25824119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**4\/8 + 3*j**2. Let d(g) be the second derivative of -3*g**3 + 5*g + 2*g + 2*g**3 + 2*g**3. Calculate d(o(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let g = x - -8. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 24*w - 146. Calculate the highest common divisor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 40*l**2 - 3*l - 5. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*z - 12, 8 = 4*i + 150*z - 153*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068279 to 7 decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34310.723 rounded to the nearest one hundred?\nAnswer: -34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/18 (b) 128232\/7 (c) 1\/3 (d) 2\/21 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000704018 rounded to 7 decimal places?\nAnswer: -0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -9*n**4\/4 - 4*n**3\/3 - n**2\/2 - 3*n + 85. What is the units digit of u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 + 9*j - 22. Determine o(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -557 * -16.\nAnswer: 8912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1014*z**3 + 116*z**2 - z - 2. What is the thousands digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqsqqsqqqyqyq. Give prob of picking 2 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let a(c) = c**3 + 8*c**2 + 6*c - 6. Calculate the remainder when a(-7) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 + 2*d - 7. Let t be u(6). Suppose 0 = -3*z + t*k - 10, 0*z = -4*z + k - 19. Sort 3, z, 1\/3 in ascending order.\nAnswer: z, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from grjgrrggrrrrrrrgrgg.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.62 - 4.62. Let z = q - 12. Let x be (1\/(-4))\/((-1)\/2). Which is the third smallest value? (a) x (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586279419?\nAnswer: 3, 11, 17766043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1104 and -73\/85008.\nAnswer: 85008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*r + 1 + 4*r)*(9 + 0 + 4).\nAnswer: 13*r + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*n + 30. Suppose 5*a = -3*k + 125, -a - n = -2*a - 4*k. Suppose 74 = x + a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 8*g - 2. Let y be u(7). Suppose -4*q + 16 = -3*n - 2, 3*q + y*n = -1. Solve -q*v + 4 = -4*b, v - 4*b + 4 = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 776 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Suppose -8*w = -4*p - 9*w + 93, 0 = 3*w - 3. Suppose x - n = p. What is the highest common divisor of 150 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 434 - 270. Calculate the remainder when v is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(208) - (sqrt(208) + -3) - sqrt(208)) + 4)*-6 - (sqrt(208)*2 + -4 - 4*sqrt(208)*1))**2.\nAnswer: -2432*sqrt(13) + 14756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221920 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: Which is the nearest to 4\/7? (a) 0.05 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.2 + 60. Let j = -171.441075 + 176.241. Let y = j - t. What is y rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555 - 388 - 167 + 17*w.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-50) + (0 - (9 + 340\/25))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169c9 + 3?\nAnswer: -169c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - x = x - 71, -o = -5*x - 25. Let p = o + -13. Find the third derivative of 4*h**5 + p*h**2 + 2*h**2 + 0*h**5 wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/2 + (-37)\/3. Put v, -3, 10, -1\/3, -0.1 in decreasing order.\nAnswer: 10, v, -0.1, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**6\/360 + w**5\/12 + w**4\/6 + 5*w**3 + 24. Let i(q) be the third derivative of v(q). Calculate i(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -315c8 - -13?\nAnswer: -315b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469477 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15212 (base 7) in base 13?\nAnswer: -1bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9743 is divided by 325.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498788 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 27. Let b be k(5). Let z = b - -14. Suppose 2*r = 2*v + z*r - 2, -5*r = 5. Solve 5*d - 2*d = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*c - 8706 + 7098 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 - 9057*a**3 + 18299*a**3 - 9240*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -404 + -5?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 262\/11, 2\/3, 1, 4, -6, 86?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493 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: 3 - 440010\nAnswer: -440007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Put 0, -4, 3, m in decreasing order.\nAnswer: 3, 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*g + 3*q + 3, 0 = -3*g - 2*q + 7. Let s be -2 - g - ((3 - 3) + -3). Solve -l = -3*l + 4*n + 16, s = l + n + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 133?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207616227?\nAnswer: 3, 7, 13, 760499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 10*v - 23. What is k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281798 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 54*i + 3240. Calculate the remainder when 266 is divided by i.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 50162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3737 and 15958.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/5*(-15)\/(-3). Let y be -7*(-4)\/i*4. Let z = -15 - -12. Let f(q) = -5*q**2 - 11*q - 5. Let d(t) = 2*t**2 + 5*t + 2. Determine y*d(k) + z*f(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 28*s - 16*s + 244*s**3.\nAnswer: 244*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-7))\/((-1)\/2*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/3 + 4358636*l**2\/3 + 2374913957122*l\/3 + 218455194117496\/3 = 0.\nAnswer: -1089613, -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 5*w + 6. Let t be j(-7). Let k = -3756 + 4945. Calculate the highest common factor of k and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r - 48. Let t(u) = 2*u**2 - 5*u + 11. Does 24 divide t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 26 = x, x = -3*n + 24 - 1. Suppose 2010 = r - 2*y, -r - n*y + 1975 = -2*y. Let a = r + -1200. What is a rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {k: 2, x: 4, r: 3, g: 1, y: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(605) + -4)**2 + 4 + -1 + 4.\nAnswer: -242*sqrt(5) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from fluuuubuuluuf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 2*m - 3. Let q(f) = f**2 - 3*f - 6. Let b be q(5). Does 15 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 4506481886145.\nAnswer: 4506481886145.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/8720 + -370573\/78480. Let r = -3921 + 345001\/88. Calculate the common denominator of r and l.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.375022cm to micrometers.\nAnswer: 53750.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/13 (b) -1\/8 (c) -5 (d) 4 (e) -4 (f) 240\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25578*i**4 - 909*i**3 + 131368332*i.\nAnswer: 306936*i**2 - 5454*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xhxfxhxxfxfxxfxxhxh?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*c + 621, 0 = -3*c - 0*c - 6. Solve -25 = -204*t + j*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - 50. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*f + 102, -3*f = -4*u + 399 - 8. Let n = -45 + u. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116859961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 49 + 20 - h)*(-4 + 23 + 23).\nAnswer: -42*h + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/8)\/(384\/(-1024)). Solve 4*o + j - 1 = -9, 2*j - h = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-2*30\/(-36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*t*v - 287*t - 10633*v**2 + 4*v + 1203 wrt v.\nAnswer: -11*t - 21266*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g. Let h be (g - 0\/(-2))*1. Let u(f) = 5 - 4*f + 5 + 3*f - 2. Determine u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42391 or 42399?\nAnswer: 42399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -389?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214 or -496?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 5354*m**2\/9 - 3595096*m\/9.\nAnswer: 2*m*(m - 3233)*(m + 556)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 1366*h**2 + 69390*h - 917082.\nAnswer: 2*(h - 629)*(h - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102 - 11?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 797.395nm?\nAnswer: 0.000797395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574 by 35751.\nAnswer: -574\/35751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6336 and 343134?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:28 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7190000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/8*(648\/(-84) + 8)*7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6440331 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -20. Suppose 5*b + 3*i = 4*i + 52, 0 = -3*b - 2*i + 39. Suppose 5*n - 41 = -a + 8, n - a - b = 0. What is the least common multiple of n and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2, -2\/9, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.51417ms to microseconds.\nAnswer: 52514.17","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*q**3*t + 2*j*q**3 - 1582*j*q**2 + 5*j*t - 1310*j - 690*q**3*t - 2*q**3 wrt q?\nAnswer: 6*j*t + 12*j - 4140*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 2726090?\nAnswer: 24534810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 8*z - 10. Let c be r(7). Let f(h) = 5*h**2 - 4*h - 7. What is the units digit of f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3 + 5*x + 3 + 7*x + 7*x - 20*x. Give y(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1 (base 15) in base 16?\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 2837?\nAnswer: 2836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -16722?\nAnswer: 16720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -12. Let r = q - -6. Let f be (-3 - (-1 + r)) + 5. Solve 0*i - f*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 6 + 7)*(3 - 3 - 2*d)*(-2 - 2 + 3)*(-7*d - 4*d + 5*d).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*j + 5. Suppose 75 = j*d - 10*d. What is the units digit of 3428\/60 + 2\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44865, -89689, -134509, -179325, -224137?\n\"Answer: 2*u**2 - 44830*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 96 = -9*y. Suppose y*x - 3*x = -x. Suppose x = -2*p - 4*p + 822. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 21 = 4*r, -266*j - 9 = 14*r - 269*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23846050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(2*(-2)\/8). Let w = -8 - j. Solve -3*l - 12 = 0, -2 = 2*u + 3*l - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:08 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + j + 35 = -12, 3*b = -5*j - 143. Let v = b + 244. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2. Let p(n) be the first derivative of -n + 1\/3*n**3 + 0*n**2 - 1. Let k(l) be the first derivative of p(l). Calculate y(k(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 365\/3 - (-4)\/12. Find the third derivative of -m*o**4 + 3 - 144*o**4 + 110*o**2 - 5 + 2 wrt o.\nAnswer: -6384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 + 1251*z\/2 + 521667\/4.\nAnswer: 3*(z + 417)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 100, -2, 4.\nAnswer: -2, 4, 5, 8, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2498.55 * -0.02\nAnswer: 49.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4410 - -4411. Which is the nearest to n? (a) -1\/4 (b) -4 (c) 9\/7 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 368164993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.8 and 360.\nAnswer: 356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + -0.67. Let v = 0.3 + d. Let i = 9.8 + -10. What is the closest to 1 in v, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 383*l - 406*l + 4.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 81?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2039461177467\/15617575 - 22591644\/173. Let a = -3\/575 - w. Let g = a - 224\/2355. Sort 0.3, 3\/7, g in descending order.\nAnswer: 3\/7, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/(((-20)\/(-12108))\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2775, -5379, -7981, -10581, -13179, -15775?\n\"Answer: q**2 - 2607*q - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*n + 48*n + 52*n**2 + (-2*n - n + 4*n)*(2*n + 2*n - 6*n).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14 - -2))\/((-1211)\/1038).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4089466 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 51 - 3 = 0. Suppose 3*g - g + 28 = 4*r, -3*g = -2*r + 6. What is the units digit of 1\/y + 75\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 22*i**2 - 12*i - 12. Give u(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91427 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-12))\/10 - (2 + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/7, 0, -74\/3, 0.2.\nAnswer: -74\/3, -1\/7, 0, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/35*10\/(-6). Suppose -j*y + 127 = s, 3*y - 201 = -3*s + 5*s. What is the highest common factor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5 + 5. Which is bigger: 3\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (399*r - 200*r - 198*r - 46)*(0 - 2 + 1).\nAnswer: -r + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -28. Let c(i) = 5*i - 25. Let r be c(4). Put r, s, 4, -1 in descending order.\nAnswer: 4, -1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 390489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnqiaxni. What is prob of picking 1 x, 1 i, 1 a, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1307, 66, 0, -2 in increasing order.\nAnswer: -1307, -2, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(21)\/sqrt(7))**2 + (sqrt(243) + 3 - sqrt(3)).\nAnswer: 9 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13986 is divided by 3163.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*u + 988 + 1170 = 0 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {j: 3, s: 1, t: 8, l: 2, o: 1, b: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buobtoottobdzooobd. Give prob of sequence uz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let d be v(-4). Let u = 1 + 1. Sort -2, u, d in decreasing order.\nAnswer: u, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13768*x**2 + 39*x - 115.\nAnswer: 27536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*r - 7, 0 = 5*i + r + 7 - 26. Suppose -i*b - 12 = -7*b. Let a(w) = 22*w - 2. Let s be a(1). Solve -5*p + d - b*d + s = 0, 0 = p + d - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/6)\/(39\/(-234)). Let i be o\/(-20)*35\/28. Which is the third biggest value? (a) i (b) 6 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -614 + 615. Let x = -0.3 + 1.1. Let t = x + -0.3. Which is the third smallest value? (a) s (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x + 4. Determine d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 799.0675804 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.6 * -0.02.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(448) - (sqrt(448) - ((sqrt(448) - -1*sqrt(448)) + -2))) + 2 + 2 + sqrt(448) + -4)**2.\nAnswer: 64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + y**5 + 3*y + (-6 + 3 + 1)*(0 + y**5 + 0) + 5*y**5 - 6*y**5 + 7*y**5 + (-y + 2*y - 2*y)*(-4*y**4 + 2*y**4 + 4*y**4) + y**5 - 3*y**5 + 3*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 - 133 - (1 - (-5 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 40. Let q be x(20). What is the third derivative of -54*a**5 + 83*a**5 + q*a + 0*a - 102*a**2 wrt a?\nAnswer: 1740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.28, 13, -1\/4, -4, 1?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 219*x**2 - x + 1. Let g be l(1). Let u = 336 - g. Suppose u = -4*f + 1129. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/95 and -95\/222.\nAnswer: 21090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116232 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47006.0726 rounded to the nearest 10?\nAnswer: 47010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -59. Let i be -1 + j + (4 - (-1)\/1). Solve -i*f - 10 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c4a (base 16) in base 3?\nAnswer: -1012102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2194, -2192, -2190, -2188, -2186, -2184?\nAnswer: -2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 14\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*d + 72, -5*d = 3*y + 70 - 250. Put d, -0.2, -1\/2 in descending order.\nAnswer: d, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h**5\/3 - 604*h**4\/3 + 127866*h**3 + 439084*h**2\/3 + 54896*h\/3 = 0 for h.\nAnswer: -188, -1, -1\/7, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/14 + 2\/(-14). Let c be (f - -30) + (-9)\/3. What is the greatest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 23. Is (3470\/8)\/(h\/(-12) + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 14 + -1 - -1. Let c(u) = 4*u**2 - 5*u - 3. Let a be c(-4). Let y = 225 - a. What is the greatest common divisor of s and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -267*i - 6811 - 3485 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 272 and 143.\nAnswer: 38896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**2 - 45 + 45 + (3 - 3 - 3*z)*(-z - 4*z + 7*z) in the form c*z + q + x*z**2 and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 j when three letters picked without replacement from cfbbcjisijif?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + (7 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 - 2*q - 1. Suppose -3*h - 12 = -3*k, -20 = 5*h - 0*h. Calculate the smallest common multiple of (-4)\/(-3)*(9 - k) - 3 and m(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1331) + 2 + 1)**2*4*1.\nAnswer: 616*sqrt(11) + 5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 11*b**2 - b - 20. Let f be y(9). Let k = -134 + f. Let d(g) = 35*g**2 + g + 3. Is d(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -15626a6e?\nAnswer: 15626a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1042?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-5))\/(10\/(-700)). What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 - 6*m - 5. Suppose 4*b = 4 + 4. Suppose b*r + 13 = 1. Give a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191740?\nAnswer: 2, 5, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 568\/(-4 + 0)*1. Let o = 268 + v. Let f = 635 - o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 12985*m**2 + 38910*m.\nAnswer: 5*m*(m - 2594)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1320\/(-66) + 30 + 202\/(-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/738 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 10. Let j = o - 12. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.644 - 1.644014625. What is z rounded to 7 dps?\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 - 2*t - 46. Let o(c) = 3*c**3 - c - 23. Let n(m) = -5*o(m) + 2*r(m). List the prime factors of n(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -615254\nAnswer: -1\/307627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 269958233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**3)**20)**(-2\/67))**2)**(-2\/105) assuming z is positive.\nAnswer: z**(128\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 + 3*i**2 - 4*i + 3*i**2 + 6 - i. Determine z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132485\/4 + 33326. Which is greater: 205 or k?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177 and 11663.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2)*(-2)\/2 - 584. What is the remainder when 5 + 5\/((-15)\/s) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2230 and 14\/17809895?\nAnswer: 35619790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56382*v + 56370*v - 12 + 0 = 0. Put -3, -10, 11, v in decreasing order.\nAnswer: 11, v, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 - 9*c + 1. Is x(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 76*y**2. Let m(t) = -3*t**2. What is i(m(r))?\nAnswer: 684*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 95, 228, 415, 656, 951?\n\"Answer: 27*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2109*x**2 - 89 - 30 - 4323*x**2 + 119.\nAnswer: -6432*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 41 + 401*j**2 - 402*j**2 - 2*j + (-j - 2*j + 4*j)*(0 - 2*j + 0) - j**2 + 4*j**2 - 2*j**2 to p + y*j**2 + r*j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -615*(-5 - (-22)\/6).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2830 + -2829.6. Which is the second biggest value? (a) m (b) 1 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4302*v - 77313. Determine b(-18).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/12)\/(-1 - -3). Let b = 0 + 0. Suppose b = -0*r + r - 1. What is the nearest to r in z, -4, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 10) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m. Let d(u) = -u**2 + 438. Calculate d(x(g)).\nAnswer: -81*g**2 + 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from btsvgsjgjsgjbvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 14*u + 27. Calculate z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a - 3*a)*(-88*a**4 - 68*a**4 + 57*a + 152*a**4).\nAnswer: 20*a**5 - 285*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + d. Let h(r) = 7*r**3 - 3*r**2 - 5*r - 1. Let z = 572 - 571. Give z*h(l) + 5*m(l).\nAnswer: 2*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/24 and ((-482)\/(-126) - 0) + (-40)\/(-180)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000123488 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s + 98 - 98 + (2 + 0 + 0)*(2*s + s - 5*s) - 4 + 4 - s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -14. Which is the second smallest value? (a) v (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67549 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 833, 4, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let k = -2 - b. What is the third biggest value in k, -0.4, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29951 - 28410. Which is smaller: -2\/13 or n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = 2*r. Suppose 2*b - 6 = -a, -a - 3*b + 16 = -r*b. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 9. Suppose -h*j - j + 3920 = 0. Round j to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 126*j**3 + 58*j**2 - 7*j + 1. Let d be q(1). Solve -d*g = -69*g + 872 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1)**2*-2 - (-1 + sqrt(832) + 5).\nAnswer: -1670 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127 - 99 - 311 + 60*y wrt y.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -6. Suppose b*o = -4*h - 552, 5*o - 237 = -4*h - 781. Is (h\/(-12))\/((-2)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8340 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 101.13 and 153.\nAnswer: 254.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6*g - 24. Let s be -1*(g*-1 + 1). Sort 1, s, 0 in increasing order.\nAnswer: 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 52*z**2\/3 - 143*z\/3 - 9196\/3.\nAnswer: -(z - 44)*(z - 19)*(z + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 51\/(-18)) + ((-364875)\/126)\/139\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 263976 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.08, -2, -0.1, 0.2, 1 in decreasing order.\nAnswer: 4, 1, 0.2, -0.08, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((-24)\/(-128))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -6 + 1 + (-84)\/6 + 2819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5))\/g**(-2)*(g**3*g)\/(g*g**4) assuming g is positive.\nAnswer: g**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 4*s - 6. Let b(f) = -8*f**2 + 10*f - 8. Let p(h) = 7*h**2 - 9*h + 9. Let m(v) = -2*b(v) - 3*p(v). Calculate -7*l(d) + 4*m(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (1 - 4\/3). Let t = 1 + -0.6. Let i = t + 0.1. Which is the third biggest value? (a) -4\/5 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 21?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*t + 25, 4*t - 5*f + 11 = -14. Let b = t + 0. Let g = 34 + -31. Solve b*u + 3*u = -g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739726833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -54, -93, -148, -219, -306?\n\"Answer: -8*z**2 + z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 3*m)*(-4 + 3 + 3) + 3*m - 2*m + m + (-3*m + 6*m + 5*m)*(-291 - 216 - 205 - 220).\nAnswer: -7458*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -296\/69?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h**2 + 2*h - 2. Let y be x(2). What is the second derivative of -p - 2*p**y + 0*p + p**2 + 4*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 10\/2*1. Let k = u + -6. Solve -2*i - 12 = -4*o, -5*o + k*i + 9 = -2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 86. Solve -6 = -i*t + 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + 12 + 23 - 65*g + (2*g - 5*g + g)*(-1 - 1 + 0).\nAnswer: -61*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*r - 28, r + 4*u - 3 - 14 = 0. Let h = -3 + r. Solve 0 = -5*g + h - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58036 and 551342.\nAnswer: 1102684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.2 - -31. Let u = k + 114.2. Let j = u + -112.99906. What is j rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -85. Let j = n + 43. Let a = j - 7. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 102716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14.018 - -0.000107\nAnswer: -14.017893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + w**2 - 1. Let n(p) = 2*p + 3 + 5*p**2 - 2*p - 2*p**3. Let r = -731 + 734. Let f(o) = r*q(o) + n(o). Find the third derivative of f(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28)*(-147)\/(-189).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*q - 190 = 0, 5*u + 2*q - 5*q = 328. Let h(b) = -2*b**3 + 23*b**2 + 7*b + 22. Let c be h(12). Let v = c + u. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 44 - 82*n**2 + (4*n - n - 2*n)*(-1 + 1 - n) + 2*n**2 + 3*n**2 - 3*n**2.\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.1 (c) -833 (d) 0 (e) 1 (f) 78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g - 6*g)*(g - 5*g + g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:07 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49243638 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 16. Let d be f(2). Let y be (0 - 0)\/3*(4 + -3). Suppose -m + 4 - 1 = y. Solve m*r + 4*g = -d, -32 = -3*r + g + 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(1\/3)\/(h**5*h\/(h**5\/h))*((h\/(h**(-3)\/h))\/(h\/((h*h**(-6\/5))\/h*h)))**(-40) assuming h is positive.\nAnswer: h**(-923\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/4060 and -97\/1449238.\nAnswer: 420279020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/2 - 2405*l**4\/12 - 3625*l**3\/6 - 605*l**2 + 292*l. Factor w(a).\nAnswer: 5*(a - 242)*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 20, -3 = -z + o + 64. Differentiate -140*t - 191*t + z*t + 9*t + 308 wrt t.\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y + 2*f + 6, y + 15 = -5*f. Solve 4*g + 9 = 5*c, c = -y*c + 5*g - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 531*t**2 + 225420*t + 27107600.\nAnswer: (t + 260)**2*(t + 1604)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 5)*2\/(-4). Let v = 128\/1377 + 2\/81. What is the closest to -0.1 in 1\/6, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 7*w - 9. Let v be z(7). Let r = -74 - v. What is the hundreds digit of 12\/r - 2236\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-52)\/(-91))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*i + 44, w - 28 = -2*i - 3*w. Suppose 7*m + i = 11*m. Suppose 98*u = 32*u + 66. Which is the nearest to u? (a) m (b) -0.2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s + 7. Suppose 0 = -4*k + 2304 - 2332. Calculate o(k).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -3. Let q = 22 - m. Sort -0.2, 9\/4, 0.3, q.\nAnswer: q, -0.2, 0.3, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 143*w**6\/120 - w**5\/30 - 19*w**4\/3 - 70*w**2. What is the third derivative of i(n) wrt n?\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = -4308 + 4699 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 3*d**2 + 9*d + 10. Let z be u(5). Suppose -z*v + 54 = q, -3*q - 190 = -8*q - 5*v. Calculate the greatest common divisor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-37)\/(333\/(-54))) + (-33)\/1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48483.3516 - -8015.5?\nAnswer: 56498.8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*d - 148*d + 303*d - 1 - 220*d**2 to o*d + h*d**2 + j and give h.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-3 + 5 + -3). Let n(t) = 3*t**2 + 4*t + 5. What is the remainder when n(b) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77541 divided by -25847\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87 + -9a0?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 213662 >= 213661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**3 - 2*s**3 - 2 - 5*s**2 + 2 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5467.75 + -0.2.\nAnswer: -5467.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**4 - 9*z + 9*z + (z + z**2 - z)*(-z**2 + 0*z**2 + 2*z**2) as o*z**4 + q + p*z + i*z**2 + t*z**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 214\/3. Is w >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38594 + 38593. Let i(c) = 2*c**2 - 3*c + 1. Let o(z) = z**2 + z - 1. What is b*o(s) + i(s)?\nAnswer: s**2 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*-1*sqrt(896) - sqrt(896)))\/(-1*1*sqrt(512)*3).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1933, -1944, -1969, -2014, -2085?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33653 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5022, 4254, 2960, 1140, -1206, -4078, -7476?\nAnswer: -11400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n)**(-29)\/(n**(-1\/9)\/(n\/(n\/n**(-3\/4))*n)) assuming n is positive.\nAnswer: n**(-2075\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29314311 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/85)\/(8\/20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*k + 7 - 3, 0 = 3*k - 12. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 126322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3951793501 and -0.2?\nAnswer: 3951793501.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 4*t**2 - 13*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1168000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45736*j**3 - 4*j**2 + 665419*j?\nAnswer: 274416*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 22, 2, -38, -104, -202, -338, -518?\n\"Answer: -c**3 - c**2 + 4*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - t**2 + 2*t**2)*(268*t - 3 + 79*t + 3 + 440*t).\nAnswer: -2361*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:50 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17571 divided by 2?\nAnswer: 17571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 8*u - 3*u + (-2 - 3 + 7)*(-u - 2*u + 2*u) + (2 - 2 - 1)*(3 - 4 - 1 + u) to the form y + b*u and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose 3*u - x = u. Let d = 1.3 - 0.3. Sort u, 0.1, d in decreasing order.\nAnswer: u, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.433 - -0.433000684. Round m to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = w + h, 20*h - 30 = 22*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/9 - 2*w**4\/3 - 158*w**3\/9 - 206*w**2\/3 - 100*w - 48 = 0. What is w?\nAnswer: -3, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*8\/(-600)*-3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from lllllfllfllfllllll.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3055 and 28811.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 28, 2\/351, 1\/3, -127\/5, 2, 4, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**8\/168 + y**7\/105 - y**6\/20 - y**5\/30 + y**4\/6 - 2*y**2 + 2*y. Let v(g) be the first derivative of i(g). Factor v(s).\nAnswer: 2*s*(s - 1)**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 362576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:09 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 26*r + 37. Let n be i(9). Sort 0, n, 4 in descending order.\nAnswer: n, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306351929 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = 0. Suppose s = -0*p - 2*p - 3*m + 2, -5*m + 15 = 5*p. Suppose a - 76 = 3*x, -p*x - 146 = -2*a - 3*x. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -235447, -941769, -2118969, -3767047?\n\"Answer: -235439*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/20 - (-2635)\/(-1700))\/(14\/168*-9)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00791923 to 4 decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -677?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21856, 21972, 22078, 22168, 22236, 22276?\nAnswer: 22282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eded when four letters picked without replacement from {e: 6, v: 10, d: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 42. Let j = -72 - p. Suppose -64 + 1692 = j*s + 4*g, 0 = -5*s + 5*g + 2075. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*i - 865*i**2 + 193*i + 862*i**2.\nAnswer: -3*i**2 + 1391*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 21*i + 342 = -33*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -246 (base 14) to base 10\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 - (-3724)\/10. Let c be (-244)\/(-16) + (-9)\/(-12). Suppose 4*a - j + c = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*n - 56 - 652 = 0, 0 = -5*z - 4*n + 885. Let f = 71 + -69. What is the least common multiple of z and f?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 657798390 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 785065 - -6?\nAnswer: 785071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*36\/8*-1. Solve -t = 2*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4300.\nAnswer: 3\/4300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*l = 737*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c**2 - 64*c**2 + 86*c**2 + 2.\nAnswer: 107*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 9. Let s = n + -2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by -3.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80493 + 137308. Does 136 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + 3 + (1 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646.30135 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n + 0*n**3 + 4*n**2 + 27 - n**3 - 24 + 3*n. Let s(h) = -h**2 - 41*h - 372. Let y be s(-27). Determine v(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11072 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -10, 1, -4, 4 in decreasing order.\nAnswer: 4, 1, -4, -10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 50229 = -10*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 5*m**3 - 152*m**4 + 0 + 0*m**2 + 1 + 154*m**4 + 0 - m to x*m + d*m**3 + v*m**2 + o*m**4 + a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2, -0.1, -0.092, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 - 10 = 0. Let h = -63 - -69. Let i = h + -1. What is the lowest common multiple of i and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 8 - 4)*(-6 + 2 + 2).\nAnswer: 4*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-4225)\/20)\/(-13)*(-10)\/55.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1678617*v*x**3 + 2*x**3 - 35*x + 82 with respect to v.\nAnswer: 1678617*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 3*u)*(1 - 3 - 1) + 3*u + 7*u + 0*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21*((-8)\/6 - 1). Let o = -5242 - -5249. What is the greatest common divisor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 0. Solve 3*a + 24 = -3*h, c = 3*a + 1 + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 21 + 23 = 0. Find the third derivative of 19*l**3 + 28*l**m + 10*l**3 + 10*l**3 + l**3 wrt l.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6 - (-140)\/225*-9)\/(15\/(-1450))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316546 and 652.\nAnswer: 633092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -216*l - 3823. What is p(-17)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -30. Calculate the least common multiple of 62 and j.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105160724 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (-4381)\/78*-227 - 3\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, j: 3, y: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -2*o**3\/3 - 11*o**2\/2 - 7*o. Let a(b) = -3*b - 10. Let g(x) = 5*a(x) - 4*z(x). Differentiate g(k) with respect to k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 151 = 91 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -19. Let n(o) = 7*o**2. What is n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -2\/75, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 12?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/42*20\/(-2)*7. Calculate the greatest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 25*j**2 + 29*j + 34. Suppose -7*o - 95 = 87. Let a be u(o). Let s be (a\/1210)\/(1\/(-5)). Which is smaller: s or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-506)\/231 - 9\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2776597\/35 + 79326. Let d be (802\/21)\/(-4 + -11). Let a = l + d. Calculate the common denominator of 51\/4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 4. Suppose 2*v = -2*y + 18, -2*y - 3*v = -y - 19. Let n be ((-4)\/6)\/((-14)\/63). Suppose -5*t = n*s + 17, 5*s + t = y*s - 5. Give m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17323810 or 17323809?\nAnswer: 17323810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*n + 33, -n - 41 = 3*r - 0*n. Let i = -13 - r. Solve -i - 4 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -553, -2252, -5099, -9094, -14237?\n\"Answer: -574*r**2 + 23*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) -4 (c) -0.3 (d) 67 (e) 0.3 (f) 55\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -378 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 19*s + 18. Let l(c) = -6*c - 6. Let a(z) = -2*b(z) - 7*l(z). Let h be a(-4). Let d = 8 + h. Are 0 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582701768 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {p: 8, f: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 9*b**2 - 1. Let z be p(9). Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {g: 1, y: 1, s: 1, x: 2, n: 1, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -3*z + 8*z. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1697*o**2 - 18*o + 38. Let u(w) = 1696*w**2 - 12*w + 26. Give 2*i(c) - 3*u(c).\nAnswer: -1694*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -3*h. Let m be 458*5\/(-1160) - (-1 - h). Let j = m + -873\/116. Find the common denominator of -17\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 20 - -20 - (-26 + -4)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/9 of a day in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101962387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2173 + -2208.92. Let k = x - -36. Round k to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 104 (b) 0.3 (c) -1 (d) -4 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1804.01 + -1804. Sort a, -0.1, 0.09.\nAnswer: -0.1, a, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26948332 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96689612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 143, 1, -42, -2, 5 in ascending order.\nAnswer: -42, -2, 1, 2, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-6) + (-2408)\/(-21) + 5 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 + m - 5. Let a be v(5). Let x = -1 + a. Does 10 divide 26 + 0*x\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7948 and -46.\nAnswer: 7948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -345 (c) -0.7 (d) 9 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 0*a**2 + 6*a**2)*(-1889 - 1237 - 8135 - 1264).\nAnswer: -25050*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3222068590?\nAnswer: 2, 5, 13, 24785143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p + 3*s = 29, -13 = -3*p - 4*s. Let t = p - 5. Suppose 0 = -t*d + d + 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 - 7*n + 1. Let k(l) = l. Give 4*k(d) + m(d).\nAnswer: 7*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 855689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12257996 + -6.777?\nAnswer: -12258002.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3626512 and -89\/44.\nAnswer: 39891632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(21\/7 + (-22)\/6). Suppose -5*c = -1 + 16, 0 = q*n + 2*c + 27. What are the prime factors of 1278\/(-24)*(n - 0 - -3)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75307*c**5*d - 2*c*d - 4905*d wrt c.\nAnswer: 1506140*c**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 7116620*i**2 - 14233260*i = 0. What is i?\nAnswer: -1423326, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 <= 10443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 take away -28.56?\nAnswer: -200.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:19 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)*(-24)\/4. Let j = p + -14. Suppose -5*f - l + 3*l = -21, j*f - 3*l = 14. Is f at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 83. Which is the nearest to -1? (a) 6 (b) 1\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o + 5. Suppose -j + 0*j + 4 = 0. Let m = j + -4. Let u be s(m). Sort -3, u, 2.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, c: 3}. What is prob of picking 2 c and 1 x?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/5)*z)**(-14\/3) assuming z is positive.\nAnswer: z**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 422.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 - -105. Let b = 183 + v. Calculate the remainder when b is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -25.9 (c) -1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4610472986.\nAnswer: 2, 7, 37, 43, 449, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25696 and 70048?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 1041 = -989. What is the lowest common multiple of ((-28)\/(-35))\/((-1)\/(-5)) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.189251 hours?\nAnswer: 18681.3036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -380 - -380. Sort 4, -196, 5, k in ascending order.\nAnswer: -196, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -91. Let k be a\/(-20) + 4\/(-10). Let n(r) be the first derivative of 2*r**2 + r - 7. Calculate n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-3\/7))\/v*v)**(-2\/165))**33 assuming v is positive.\nAnswer: v**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/480 + n**4\/64 + n**3\/24 - 26*n**2. What is o in u(o) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 8090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*((-11 - 14) + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3 - 2 + 3 + 0 + (0 - 3 + 1)*(-6 + 1 + 4) + 1 - 2 + 0 + 1 - 4 + 1 + 0 + 4 - 2 + 5 - 6 + 6)*(193 - 193 - 207*t).\nAnswer: -1863*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 22 = 2*u. Suppose 33 = 4*g + 5*b + u, b - 17 = -5*g. Solve g*l - 6*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -314*k**3 - 2*k**2 - 24*k + 26. Give f(1).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h. Let u(z) be the first derivative of -1\/2*z**2 + 2 + 0*z. Determine u(s(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 6785.8016 and 305.\nAnswer: 7090.8016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14868*g**2 + 1335*g + 7823020 with respect to g.\nAnswer: -29736*g + 1335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33497\/234 - 859\/6. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -201. Let t be -7*3\/(h\/25). Suppose t*b + 106 = 3*d, d - 3*d + 4*b = -72. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4046 tonnes in kilograms?\nAnswer: 40404.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/12))**11\/(h**(7\/5)*h\/h**(2\/3)*h*h) assuming h is positive.\nAnswer: h**(491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 1599, 0.18, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaxxaaxaxxaaxxaxxax. Give prob of picking 2 a and 1 x.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -26*a**2 - 17*a + 17. Let i(f) = 9*f**2 + 6*f - 6. Let m(l) = -17*i(l) - 6*j(l). Determine x, given that m(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4116\/(-169 - -71)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)\/r)\/r**(14\/5))\/((r*r**(-4\/3))\/(r*r**(-9\/5)*r*r)) assuming r is positive.\nAnswer: r**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17 + 15*a + 2 - 11 - 44 wrt a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199248 rounded to four dps?\nAnswer: 0.1992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2 - 10. Suppose -7*s - 2*w = -2*s - a, 1 = -5*s + w. Put 7, 3, s in decreasing order.\nAnswer: 7, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 139*m**3 + 5*m**2. Let k(u) = -5561*u**3 - 201*u**2. Determine 201*g(i) + 5*k(i).\nAnswer: 134*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -39. Let c be 3\/6 + -1*(-21)\/6. Let y(w) = 4 - 5 + c*w - 2*w + 4. What is y(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5 - 65*t**4\/4 + 80*t**3 - 90*t**2 - 1. Find u, given that o(u) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-671) - (-4380)\/366. Solve 19*c - 50 = -g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by -1?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7409 at least -7404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.75.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17454 (base 9) in base 15?\nAnswer: -3877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455089*u**3 - 10*u**2 - 6105*u + 2 wrt u?\nAnswer: -2730534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269190344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -443 + 101. What is the highest common factor of 57 and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -948 + 951 - (47 - 1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 - 184*n**2 + 180*n = 0.\nAnswer: 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (34 - -87 - 102) + 32\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154435 a multiple of 1335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3)\/((-27)\/48). Let a = 286 + -240. Let l = 110 - a. Calculate the greatest common factor of f and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4909556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 + 269*g - 20. Calculate the lowest common multiple of 1302 and o(40).\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/(-18))\/((-6)\/16). Let q be (-15)\/(-2)*z\/(-6). Suppose -3*i + 56 = q. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0961 - -1.0961. Let w = -0.4 - -0.3. What is the smallest value in 5, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -16. Let x = h - -68. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151293496619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 8*t - 65076 = -2*s, 5*t - 5*s = -108465. Find the common denominator of 17\/232 and 4\/18 - t\/3240.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325)*-2 + 1)) + sqrt(325) + (sqrt(325)*1*6)**2 + 4.\nAnswer: 20*sqrt(13) + 11703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221011120 + -2?\nAnswer: 100221011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 125*p + 23. Let u(m) = -59*m - 12. Calculate -6*j(n) - 13*u(n).\nAnswer: 17*n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34057 to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*x - 4*x. Suppose -22*f = -1063 + 865. Solve -j - f = -x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.347910961 to three dps.\nAnswer: 4.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -406574.02\nAnswer: -28460.1814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 14) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300 - (0\/(-5) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 1*20\/2. Let u be i\/((-2)\/(1\/(-1))). Solve -c - 23 = -u*j + 3*j, -5*c + 10 = 5*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97324011.\nAnswer: 3, 1201531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1204 + 1166*i + 967 - 1350 + 2040*i - 541*i wrt i?\nAnswer: 2665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 3*b. Suppose -2*d + f + 8 = 0, 3*d - 11 + 4 = 4*f. Let j(v) = -129*v**2 + 67*v**2 + 4*v - d*v + 61*v**2. Determine -3*j(i) + r(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 6. Suppose -k - p = 5*n - n, -3*n - 30 = -5*k. What is the least common multiple of 12 and 4\/(-3)*75\/n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 4765583094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, y: 1, q: 1, f: 1, t: 1}. Give prob of sequence nut.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*961.292.\nAnswer: -1057.4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 10:30 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9)\/((-2)\/18). Let w(o) = 2*o**2 - 24*o - 1. Let l be w(q). Sort l, -4, 3 in increasing order.\nAnswer: -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(-29*(-18)\/(-162)*9).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -25*f. Let a(g) be the third derivative of -g**5\/60 - 934*g**2. Calculate a(n(b)).\nAnswer: -625*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11746410 to the power of 1\/2, to the nearest integer?\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.5 and 54.\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - -20. Let h = -68 + d. Let q be h\/10 - (-760016)\/80. Round q to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 43557.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/5 or -218.42748?\nAnswer: -218.42748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.68083 - -1.68. What is h rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 149.\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7876 and 899296.\nAnswer: 9892256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -8365035648.\nAnswer: -8365035648.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 0.6. Let x = r - -0.9. What is the closest to x in -2\/5, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 109128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38438, -153683, -345776, -614717, -960506, -1383143?\n\"Answer: -38424*c**2 + 27*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 277 - 167 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-35))\/((-2)\/5). Factor 53*d + 2*d**3 + 64*d - 117*d + 6*d**c.\nAnswer: 2*d**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*j = -31, 0 = -3*g - 1262*j + 1263*j + 126 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 1436.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19264 and 72.\nAnswer: 173376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/(-30))\/((-434)\/248). Which is the smallest value? (a) t (b) 1\/10 (c) -5 (d) -76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.1 - 43.5. Let n = -4.9 - m. Round n to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 695 = d, 2*d + 569 + 793 = 5*l. Put d, -4, 4 in decreasing order.\nAnswer: 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2501 * 98.\nAnswer: 245098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 3*k + 1. Let a be b(-2). Let w(n) = -n**3 + 2*n**2 - n - 1. Give w(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*q = 342*q + 480*q - 210*q - 40100 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-663954)\/(-656) - 1\/8 is divided by 250?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1134 = 80*q. Let y = -461 - -677. What is the least common multiple of q and y?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*z + 212 = -9*z + 81 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 136 + 46. Suppose -r - 2*r = -w. Solve -4*h - r*y = 8, -4*h + 3*h = 2*y + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -632\/5. Let q = 6.3 - -1.7. Let y = -13 + q. Which is the second biggest value? (a) 4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - (-2034 - -2119 - (73 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27019 - -122556. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/8)\/(4\/16). Let l(m) = 49*m + 11. Let p be l(0). Sort o, 4, p in descending order.\nAnswer: p, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + ((-52)\/(-130))\/((-2)\/100). Let v(y) = -y**3 - 17*y**2 - 3*y - 27. Let k be v(m). Calculate the greatest common factor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -3554314, 8.\nAnswer: -3554314, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53629699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-1*12\/(-3)*1\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 158436 = 45*f. List the prime factors of f.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -10110101?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(400\/15)*(-25)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4 + 8. Suppose -o - o = t - 73, 152 = 4*o - s*t. Let n(x) = -x**3 + 4*x**2 + 13*x - 21. Calculate the remainder when o is divided by n(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**3 - a**2 - 3*a + 3. Let t(i) = 17*i**3 + i**2 + 5*i - 5. What is -10*b(j) - 6*t(j)?\nAnswer: -12*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207485 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 675313679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 19)*1*11. Suppose -34 - s = -d. What are the prime factors of d?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451472299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1586.349?\nAnswer: -1585.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 44*c**2. Let h(r) be the third derivative of -r**5\/15 + 83*r**2. What is h(v(d))?\nAnswer: -7744*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -26, -6, -2, 29 in increasing order.\nAnswer: -26, -6, -2, 2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 3*w - 130. Let a be 4\/w*-1*22\/44. Sort -1\/4, 2\/7, 0.2, a in ascending order.\nAnswer: -1\/4, a, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 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: 5688\/(-228942)*23\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2. Let b(h) = -1719*h. Give b(d(c)).\nAnswer: 5157*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282421 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9959926 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -44. Suppose 2*h - 29 - 2 = -f, -h + 5 = -g*f. Which is the third smallest value? (a) 0.1 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 168d4c?\nAnswer: 168d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15604 is divided by 264.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtl when three letters picked without replacement from {l: 1, t: 2, q: 1, j: 5, o: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*r - 8*r. Suppose h + 45 = r*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*b**2*t - b**2 - 1102*b*t - 700*b + 6 wrt t.\nAnswer: 22*b**2 - 1102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8959 divided by -9342\nAnswer: -8959\/9342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 2*c - 6 - 3*c. Let v be m(-4). What is the tens digit of 1\/(v - (-42)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 1, g: 1, s: 1, i: 1}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 6\/(-3 + 0). Suppose -2*r = 5*c + 15, -2*c - z*c = -3*r + 35. What is the units digit of ((-15)\/(-9))\/c*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (-6*(sqrt(308) - 2*sqrt(308)) - sqrt(308) - sqrt(308))\/(sqrt(539) - (-1*sqrt(539) - sqrt(539))).\nAnswer: -1 + 8*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217518 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866612963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*t + 1051610 = 473*t. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3 + 0 - 4)*(5 - 5 - s + (-1 + 1 + 2*s)*(-1 + 3 + 0) + 0*s + 2*s + 2*s - 1 + 2*s + 1).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 716\/591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2299.12 milligrams to kilograms.\nAnswer: 0.00229912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14412 - 14410. Sort 10, -4, 0, -28, n in decreasing order.\nAnswer: 10, n, 0, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99365 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-27)*-16*57\/1976?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 37*z**2 + 258*z - 26. Determine s(-43).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.962 - -0.028. Let a = i + 0.01. Put -4, -0.4, a in decreasing order.\nAnswer: a, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657 - l**3 - 657.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19145 and 826517?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - (3 + -14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u**3 - 877537*u**2 + 877537*u**2 + 586*u**3.\nAnswer: 660*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.6. Let d = 0.004 + 0.996. Which is the nearest to -1\/3? (a) -2\/3 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-49))\/(-4*6\/126)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*j - j = 600, f - 2*j + 150 = 0. Let r = f - -36. Let q = r - -164. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**2 - 1\/540*k**5 + 0*k - 2\/27*k**3 + 0 - 1\/54*k**4. Solve n(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -99, 21, -3, -1, -7 in descending order.\nAnswer: 21, -1, -2, -3, -7, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + -22 + 23 - 29\/(-11). Is z greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 6. Suppose 0*o - 3*o = -15. Let i(t) = t**2 - 6*t + 1. Calculate the remainder when b(o) is divided by i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-17 - -10) + 40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 4. Suppose -250 = -3*k - l*n, 4*k - 4*n - 332 = -6*n. Suppose 2*d - 20 = k. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 79 = 3*x - 5*q, -2*x - 2*q = -76. Let c = -36 + x. Suppose 0 = -4*b + 4*z + 32, -z - c = 4*b + 4*z. Solve w - 12 = -2*w + b*g, 3*g = -9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvvvddvvdv. Give prob of sequence vvvv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -91.737\nAnswer: 458.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23888*c**3 - 66235*c**2?\nAnswer: 143328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1252356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(28\/168) - -6. Find the third derivative of 2 - 7*t**4 + m*t**3 - 4063*t**2 + 4062*t**2 + t**4 wrt t.\nAnswer: -144*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 38*y**2 - 14*y - 45. Let j be q(-4). Let x = -441 + j. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -61, -20369.14?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 34. Solve f = 5*r - 4, -f + 3*r - 5*r + x = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cococoocooooco. Give prob of picking 2 c and 2 o.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 407663 and 44823044?\nAnswer: 1837744804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q\/(q\/q**(-1\/4))))**(-3\/2)*(q**0*q**2)\/((q\/q**(-6))\/q**(-1)) assuming q is positive.\nAnswer: q**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:11 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*sqrt(96)\/sqrt(8))\/((sqrt(576)\/sqrt(12)*4)\/sqrt(12)).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 3*x**2 - 4*x + 3. Let u(i) = 2*i**2 - 2*i. Let q be u(2). Let j be d(q). Solve -j*r**2 + r**3 - 3*r**4 + 0*r**2 + 5*r**3 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2 - 1087604*j + 147860307602 = 0.\nAnswer: 271901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/25)\/(3\/10). Suppose 0 = -8*d + 28 + b. Suppose -9 = 3*x - 6*x. Sort d, -4, x in decreasing order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/(f*f\/(f*f\/(f*f\/((f\/(f**3*f))\/f)*f*f)*f*f)))**(-36) assuming f is positive.\nAnswer: f**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -606*r + 129693. Calculate f(214).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26491485632*c - 44*c**3 - 6*c**2 + 17*c**2 + 26491485632*c - 11*c**2.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.03 - -0.67. Let k = -2.2 + h. Which is the third biggest value? (a) k (b) -2\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + 2 - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30736 and 0.4.\nAnswer: -12294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 60624.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3 = b, 67630*h - 2*b = 67628*h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 88*u + 19698. Determine d(-103).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5824*i + 1485087. Give o(-255).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19\/2 + 41\/4. Is v < 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 13952184?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -25, 3\/55111, 1\/3, 2\/7, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/7 - 12434*h**4\/7 + 104132*h**3 - 14053840*h**2\/7 + 83732800*h\/7 + 98528000\/7 = 0.\nAnswer: -1, 20, 6158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82718190?\nAnswer: 2, 3, 5, 743, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*v - 9, -40 = -5*p - 5*v + 5. Suppose 2*l = -0*t - 2*t + 264, p*t + 3*l = 658. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/20 + 3*t**4\/8 + 2*t**2. Find the second derivative of d(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 2*c - 3*c. Let l(p) = -4*p**2 - 6*p. Let b(t) = -3*t**2 - 5*t. Let o(s) = 6*b(s) - 5*l(s). Give f(o(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Suppose 2*w + 6 = -3*x + 16, -x - 2*w + 2 = 0. Let f be 54\/(-24) + (x - 30\/8). Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4795\/3355 + 36300\/(-26620).\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtwwttwtvwvtvvttvv. Give prob of sequence wtvw.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 - 85328*g**3 + 4346724*g**2 - 8437472*g + 4176074 = 0.\nAnswer: 1, 49, 42613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 85632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwi when three letters picked without replacement from iwoooooioooowooooiw.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, n: 1, j: 4}. Give prob of sequence wje.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, -44, -3, 3 in decreasing order.\nAnswer: 5, 3, -3, -22, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4691 = -440*o + 1909 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-90))\/(16\/120)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142992703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.421 to 0 decimal places.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004641 to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68019 is divided by 942.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16577 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2\/(1*4). Suppose 0 = 26*t - 10*t + 64. Sort k, 1, t.\nAnswer: t, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.590167 or -583?\nAnswer: 0.590167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 7.37?\nAnswer: -3.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 36589.424 to the nearest 100.\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 49 = 17*f + 32 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n**2 - 135*n + 66. Determine j(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/33 (b) 33 (c) -781 (d) 3 (e) -0.1 (f) -0.4 (g) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + -6 + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 776435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948141403?\nAnswer: 11, 86194673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 5*d**3 - 2*d**3)*(3*d - 3*d + d) + 7*d**4 - 13*d**4 + 32*d**4.\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2793 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/p**(-2\/19))\/p)\/p))\/p)**11 assuming p is positive.\nAnswer: p**(187\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88474, 176971, 265468, 353965, 442462?\n\"Answer: 88497*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2460 divided by 7\nAnswer: -2460\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 136. Let w be i\/(-6) + 4\/12. Let j = w + 12. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(-156)\/(-13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + n**5 - 6*n**5 + (n**2 + 2*n**2 - 6*n**2)*(4*n**3 + 2*n**2 - 2*n**2).\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/16 + (-1)\/(-4). Let u be (3\/m)\/((-1)\/2). Let d = 2 - 1.5. What is the smallest value in u, 3, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwiiww. Give prob of sequence iiww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210210021 (base 3) to base 11.\nAnswer: -10a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/10 - 2*r**4 - 11*r**3\/3 - 7*r**2 + 43*r + 3. Let f be a(-11). Sort 0.3, f, -2 in increasing order.\nAnswer: f, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**18\/t**(-11) assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1\/3, -2\/1743, 1, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 288669*y - 1732058. Calculate i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/445 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 4 + 4*i + 5*i + 0*i.\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34610 (base 11) to base 3\nAnswer: 2112120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -6. Let n(a) = -1. Let r(f) = -5*f + 4. Let z(i) = -2*n(i) - r(i). What is the units digit of z(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 6 = 3*u. Let f = 81 + -46. Calculate the remainder when f is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 668, 0.5, 5.5, -4.\nAnswer: -4, 0.5, 5, 5.5, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5*6\/10)\/((-3)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -67531765?\nAnswer: 67531764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 2. Let w(k) = -8*k**3 + 4*k**2 - 10*k + 12. Let n(o) = -3*p(o) - w(o). Is n(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9 + 9*w**4 + 30 - 8*w**4 + 43 wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*24\/18)\/((-2)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5267*i + 5267*i + 2*i**3 + 2*i**4 + 1 in the form m + z*i**3 + x*i**2 + b*i + t*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147233 (base 15) to base 14.\nAnswer: -1b9486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 17*u + u)*(-46 + 13 - 58).\nAnswer: -2093*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*w - 4 = 0, -2*h - 30*w + 31*w + 7 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**1*m)))**30\/((m**4*m)\/(m**(-1\/4)\/m)) assuming m is positive.\nAnswer: m**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 257*z**2 + 4*z - 4*z - 1154*z**2.\nAnswer: -897*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*h + 47 - 397, -3*h = -2*o - 355. Let z = -19 - o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2854.8215 + -69.4315. Let x = c + -2754. Let j = -33 + x. Round j to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110011 + -110111101?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 819 and 12833751.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-110))\/((-13)\/((-65)\/(-4)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + (-23390)\/(-30) - (-4)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-2)\/(-48)*(-10*8)\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1859101 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 3. Suppose -2*j - 7 = h, -5*h = 3*j - 4*j - 20. Suppose -z + 6 + 3 = -4*l, h*z = 3*l + d. Solve n + z = -3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 6498714\nAnswer: -5\/6498714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 55433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -233, -553, -873, -1193, -1513?\n\"Answer: -320*l + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 39708*s + 197090658.\nAnswer: 2*(s + 9927)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -17?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -25. Let n(i) = -r*i**2 - i + 19*i**2 + i. Let b(v) be the third derivative of -13*v**4\/24 - 1353*v**2 + v. Give b(n(q)).\nAnswer: -65*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6901614, -13803232, -20704850, -27606468?\n\"Answer: -6901618*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -24. Let a(j) = -2*j**2 + 10*j - 10. Let w be a(3). Sort -4, w, q in decreasing order.\nAnswer: q, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m = 46*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/1120*6762\/(-18)*1\/(-1). Factor -188\/15*a**3 - v*a + 98\/15 + 34\/15*a**4 + 76\/3*a**2 - 2\/15*a**5.\nAnswer: -2*(a - 7)**2*(a - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.5 - -24.8. Which is the third smallest value? (a) -4 (b) -0.3 (c) n (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 203*r**4 - 202*r**4 + 0*r**2 + 48*r**3 + 2*r + r**2 to the form h*r + f*r**4 + x*r**2 + m*r**3 + t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 + (-33 - -76 - 41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.005 - 0.095. Let h(f) = f - 8. Let r be h(4). What is the nearest to p in r, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.07 (b) 0.042407 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2206 + 3232. Let z = 673 - g. Let c = z + 351.07. Round c to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 60. Let o be q(0). Let f = -60 + o. Suppose -4*n + 177 - 41 = f. Calculate the remainder when 167 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b69a4 (base 15) in base 10?\nAnswer: 579304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -979.012 + 982. Let t = 0.012 + l. Which is the closest to 7\/3? (a) t (b) -3\/2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/444 - -35\/111. Let m = 0.05 - 3.05. Sort 4, 2\/17, m, p.\nAnswer: m, 2\/17, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 56 - (-30 - -31)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.98434 + -0.01566. Which is smaller: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrv. What is prob of sequence vj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113657762?\nAnswer: 2, 61, 931621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -80\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:44 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -20*b**2 + 56*b + 295. What is t(-6)?\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650, 660, 686, 734, 810, 920, 1070?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3215\/12 or -267?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:39 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-11) + (-318)\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a1 (base 15) to base 14.\nAnswer: b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11022847483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-4 + 8) - -204. Let m = d - 85. Suppose -4*w + m = -13. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18141570 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j - 8. Let g be n(5). Let w = g + 70. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*w = 195*w - 15, -3*w + 7503 = 2*z. List the prime factors of z.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5000 + -5000.2. What is the nearest to 0 in t, 3, -6, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68578185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 17. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850975302?\nAnswer: 2, 3, 141829217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 11. Let t(l) = l**2 + 4*l. Is t(k) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/(2\/24 - 0). Suppose i = -i + n. Calculate the smallest common multiple of i and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-70)*(-280)\/(-112).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11650 + 13388. Is p at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*c - 7, -17*o = -14*o + 2*c - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/2670*(-30)\/(-21). Let j = m - 11783\/5607. Is -2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 less than 4644\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 21179309.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 27 = -2*b. Suppose 2*v = b*j + 41, 3*v - 3*j = j + 59. Let a be v - (1 + (1 - 2)). Solve k = 3, -k = 2*s - 2*k + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -23 + 5 - 5*u**3 + 5 + 5*u - 16*u**2 + 7 - 22*u = 0.\nAnswer: -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose 4*f - w*f + d = -1807, 2*d = -4*f - 7226. Let m = 10805\/6 + f. Find the common denominator of m and 46\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f**2 + 2*f - 4. Let k be r(-3). Let q = -0.725 - 0.275. Let o = 31\/10 + -18\/5. Which is the closest to q? (a) o (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1287 + -1208. Let l be 4*(2 + 81\/12). Suppose -3*z + 51 = 4*y - l, 3*y - 54 = 3*z. Calculate the remainder when r is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**3 - 2. Let t(p) = p**2 - 7. Let l be t(3). Let y(x) = 8 - 8 - 4*x + l*x. Give y(a(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-15) + (-4 - (-2)\/6). Sort -2, -191, o, 0.\nAnswer: -191, o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6320 + 3159 + 1018*w + 3159.\nAnswer: 1018*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0\/6 + -12 + 32\/(-96).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.85 and 0.0333856.\nAnswer: 0.8833856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11860, -23732, -35604, -47476?\n\"Answer: -11872*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -6\/21683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 7:38 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**(2\/5))\/b*b)\/b)\/b**(-3\/4)*b**(-4\/7)*b*b**3*b*(b**(4\/7)*b*b**(2\/13))**(-39) assuming b is positive.\nAnswer: b**(-8499\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.1662 millimeters to micrometers.\nAnswer: 783166.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**5 + 2*x**5 - 3*x**5)*(185 - 88 - 56).\nAnswer: -41*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 514 - 352. Let a = -161 + b. Solve a - 10 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 16\/15*r - 32\/15 - 2\/15*r**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129.933 + 130. Let q = 3.76 + -3.767. Let i = r + q. Is i less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47036398 divided by 37?\nAnswer: -1271254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 + 2*c**2 - 3*c + 2. Let n be (-4)\/(3 + -7 + 2). Let d be j(n). Calculate the highest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 13 + 13)*(1 + 0 + 0) + 7 + 0 + 37*s - 4*s.\nAnswer: 37*s + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018991817208 to 7 dps.\nAnswer: -0.0001899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((2\/3)\/(16\/(-24))). Solve g = 13*c - 23*c - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 7*u - 3. Let c(s) = -3*s**2 - 7*s - 2. Let n(k) = -3*c(k) + 4*d(k). Let t be n(8). Suppose -35 = -t*a - 3*a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242466700 + 1?\nAnswer: -242466699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 561 + -559. Suppose 0 - 4\/7*a + 10\/7*a**r = 0. What is a?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730 times -0.0966\nAnswer: -70.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*u - 5*u. List the prime factors of ((-450)\/u)\/(-3) + (-54)\/72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.6 + -3.6. Let a = -67 + t. Are a and -2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Let y be 5\/2*(-3)\/(-1140). Let j = 291\/1976 + y. Which is the closest to f? (a) -1\/4 (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.003856us in minutes?\nAnswer: 0.0000001333976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68309.28 tonnes in grams?\nAnswer: 68309280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uznz when four letters picked without replacement from znzzznzzuuz?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 48. Suppose -97*c = -2704 + 1152. Calculate the smallest common multiple of (-1)\/1 + z\/3 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -313 - -313. Suppose -s = -2*y - 27 + 2, w = 5*s - y - 80. Solve -s + 6 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = -15*f - 6*f. Let x be (2\/(-8))\/((-5)\/f). Suppose 4*k - h + 17 = -12, 30 = -5*k - 5*h. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 3*(-1)\/(-6))*-6. Find the third derivative of 10*z - 2*z**2 + 10*z**j + 2*z - 12*z wrt z.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 10*m + 23. Determine q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:35 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/60 - 23*a**5\/60 + 123*a**4\/8 + 423*a**2. What is the second derivative of q(v) wrt v?\nAnswer: 12*v - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a. Let y(d) = -72*d**2 - 360. Let r(z) = -z**2 - 2. Let h(v) = 540*r(v) - 3*y(v). What is f(h(x))?\nAnswer: 1620*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 15*y + 32. Let x be i(13). Let q = -29\/5 + x. Which is the smallest value? (a) 14 (b) 1 (c) q (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 7*n - 3. Determine f(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from ttftttteet?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/60 + 17*u**4\/8 + 172*u**3\/3 - 3*u**2 + u - 12. Determine m(57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22554 and 8101898.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115803332 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 2.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/42)\/(36\/(-14)). Let l(g) be the third derivative of 0*g + 0 + 1\/4*g**4 - 1\/120*g**6 + w*g**5 + 1\/3*g**3 - 3*g**2. What is l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 157190.5704 to the nearest 1000.\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 102410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 h, and 1 o when four letters picked without replacement from ccjochovcccohv.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11022112010 (base 3) to base 8\nAnswer: 245721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200300 - 1202?\nAnswer: -202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076*h**2 + 1691*h**2 - 85 + 48 - 94.\nAnswer: 3767*h**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) 0.32 (c) -2 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 1446125*v\/4 + 180765\/2.\nAnswer: 5*(v + 72306)*(4*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256049890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 669815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 599947343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 + 492034*f\/9 + 492028\/3.\nAnswer: 2*(f + 3)*(f + 246014)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/21, -1, -3, -2, -1\/26, -0.09, -1\/2?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:45 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.5651 nanometers to micrometers.\nAnswer: 0.2365651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-16)*y**10)\/(y**1)**(-12) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -106. Suppose -q*y + 2 + 1 = -r, 2*y = 4*r. Let w be 9\/(-45) - (42\/(-10) - -1). Put w, -5, 0, r in increasing order.\nAnswer: -5, 0, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (115 - 150) + -5 + 1 + 123?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6179*a*j**3 + 6*a*j**2*q - 51*j**3*q**2 + 525*j**2*q**2 - 498*j**2*q wrt j?\nAnswer: 37074*a - 306*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9275 - 1.6716. What is z rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 2, s: 2}. What is prob of sequence sr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*j - 185*j + 79*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.3360707\nAnswer: -1.3442828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581013376?\nAnswer: 2, 29, 193, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5945562, -5945561, -5945560, -5945559, -5945558?\n\"Answer: g - 5945563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:40 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*q = -5*q - 274, -3*s = -2*q - 203. Let x = -67 + s. Solve -3*y - 10 = 5*p, x*p - 3*p - y = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 815 and 677428?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l - 1. Let y(n) = n**3 - 3*n**2 + 2*n - 5. Suppose -5 = -5*d - 5*w, -3*w + 10 - 2 = -2*d. Determine d*y(b) + 3*x(b).\nAnswer: -b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q**(1\/5)\/q)\/q)**(2\/3)*q**(-15)\/(q\/(q*q**(6\/11)*q)) assuming q is positive.\nAnswer: q**(-2198\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34334 by -2.\nAnswer: 17167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13729313 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 10074.42.\nAnswer: 10074.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 1098546*q + 3295629.\nAnswer: (q + 3)*(q + 1098543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -162 + (-1 - -31 - (97 - 96 - -7))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 2}. What is prob of sequence rxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398293380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -24 + -7 + (-60 - -34)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -20. Put t, -5, -1 in decreasing order.\nAnswer: t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44922284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, -91\/12, -6, -247?\nAnswer: -91\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wii when three letters picked without replacement from wiwiiii?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**5\/2 + 365828*h**4 + 3414509*h**3\/2 - 5975307*h**2 + 487766*h + 3414460 = 0.\nAnswer: -7, -2\/3, 1, 2, 243890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-16) + 6)*12\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 22*f - 22*f - 16*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-3\/7))\/p*p*p)\/(p\/(p*(p\/(p*p*p**8))\/p))*(p**(1\/2)*p)\/(p\/p**2) assuming p is positive.\nAnswer: p**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 2*u**2 - 11*u**2 + 5*u**3 - 16*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*10\/(-2)*(-11)\/(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:50 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4928, 9281, 13634?\nAnswer: 17987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4586 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 116051940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 = 1120*b + 323*b + 9358 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 205, 217, 245, 295, 373, 485, 637?\n\"Answer: w**3 + 2*w**2 - w + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 14 = t - 0*o, 0 = 3*o - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (43 + (-20)\/4)\/((-4)\/(-2)). Solve -17*w - 66 = d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -3. Let k = 16 + b. Suppose u - 41 = -3*n - 3*u, 4*u - k = 0. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 3 + 3 - v - v + 0*v + (-1 - 1 + 4)*(-2*v + 2*v - 2*v) + 2*v - 3 + 3 + (-1 + 12 + 3)*(v + 2*v + 0*v) to b*v + m and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + w + 9, i + 0*w + 7 = -3*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2878 = -4*o, -237*v + 242*v = -o + 742. What is the highest common divisor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25028135 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -631.84 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 5, p: 4, i: 2, t: 1}. Give prob of picking 1 d and 2 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.981 + 2.7\nAnswer: 5.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16665 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 and 8*(-4 + 0)*(-29)\/522.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 2387, -4, -51.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(3*b**4 - 3*b**4 + b**4) - b**4 + 0*b**4 + 4*b**4 + 33*b**4 - 66*b**2 + 66*b**2 to h*b**4 + y + t*b**3 + g*b**2 + n*b and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 131*c**2 - 63*c**2 - 1 - 13*c - 69*c**2 to the form u*c + d*c**2 + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let h = -49 + 70. List the prime factors of f\/(1 + h\/(-19)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2209, 1, -3, 5, 2, 14.\nAnswer: -2209, -3, 1, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4 and 15\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5000 divided by -2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**2 + 6. Let a(h) = 3*h. What is b(a(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 + 11836*b**3 + 2*b**2 + 1574013*b wrt b?\nAnswer: 24*b**2 + 71016*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4338117 divided by 22\nAnswer: 4338117\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i**2 + i + 4. Let v be g(3). Suppose 30 = 3*j - 4*q, -v*j + 33 = -3*j - 3*q. What is the greatest common divisor of 54 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62949, -127768, -192587, -257406, -322225, -387044?\nAnswer: -451863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -162869.691 to the nearest 1000.\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/135*-1)\/((-3270)\/17658)*10\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-15))\/((-2)\/(-5)) + 1. Suppose -j*y - 23 = -5*y. Suppose 5*c + y = -4*q + 2*q, -c + 4*q = 9. What is the common denominator of c and 44\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*y = 15, -y + 3*y - 6 = m. Let c be ((-2 - m) + 3)*25. Solve -j = 5*t + c, -t - 2 = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*i - 7*i. Let c be i\/(-2) - 5662\/4. Let l = 19787\/14 + c. Calculate the common denominator of -31\/16 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1235, -3, 0 in descending order.\nAnswer: 1, 0, -2, -3, -1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*m**2 + 10*m.\nAnswer: -5*m*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 1 - 18 - 10 + 27 - 3896*g**2.\nAnswer: -3896*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1287\/12)\/((-5)\/(-160)*12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0268 + -49.8732. Let c = h - -47.9. Sort c, -18, 4, -0.3.\nAnswer: -18, c, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -13 (b) -11 (c) -0.13 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 39*h = -540. Calculate the highest common factor of 588 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*5\/(-5) + 291. What is the highest common factor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) -3172 (c) -0.5 (d) 4 (e) 5 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/191388 and -33\/334482428.\nAnswer: 1003447284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 - 32\/5. Let x be -2 - ((-1284)\/84 - -13). What is the closest to 2 in x, f, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 1633*f**2 - 4*f + 6532.\nAnswer: (f - 1633)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-45) + (-1)\/(-5). Suppose -5*t - 11 = 4*f + c, 2*t + 10 = f. Suppose -15 = v - 2*b - 3*b, 4*b - 16 = 0. Put v, t, 4 in descending order.\nAnswer: v, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-154))\/((-3064)\/64344))\/(3*(-4)\/(-22)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - sqrt(76)*-1)\/sqrt(4) + (sqrt(684)*2 - sqrt(684)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*s - 22 - 3, -5*r + 3*s = -27. Suppose 13 = 2*w + r. Suppose -w = -2*i + 5. Solve 5 = 3*z - c - 6, -i*c = -z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*s - 9, 3*h + 3*s - 3 = 2*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -31, -47, -63, -79?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Let q(h) = h - 1. Let x be q(-2). Let w be p(x). Solve -2*s + 2*y + 3 = -1, -5 = 2*s - w*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837 + -846. Find the common denominator of (u\/12)\/((-7)\/(-43) - 1) and 31\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5295*h. Let k(f) = 2*f. Determine k(j(r)).\nAnswer: 10590*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*v - 4262 + 1345 = -9468 - 4449 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/4 (c) -0.03 (d) 4\/9 (e) 7 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69304*a - 59179.\nAnswer: 69304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57687003?\nAnswer: 3, 11, 29, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 31*k**2. Let t be s(0). Suppose t = 3*n - 3, 3*n + 2924 = z - 2*n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1875 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7000 and 7700?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5341, 5342, 5343, 5344, 5345, 5346?\n\"Answer: q + 5340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14604 - -14603. Sort z, 567, 0.2, 3\/7 in decreasing order.\nAnswer: 567, 3\/7, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3\/4 - 4315*c**2\/2 + 3470445*c\/4 + 55571670 = 0. Calculate c.\nAnswer: -56, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 21546712223.\nAnswer: -21546712224.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*t, -3*t + o - 2*o = 6. Let l be 29\/3 + t\/(-9). Solve 6*h = h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 5290400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 - 7*t**2 + 2. Give m(-3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 139, 249, 391, 577?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:15 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 3*b**3 + 1 - 2*b**2 + 2*b**3 + 2*b. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294 + -262. What is the remainder when 51 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + 6*s - 8. Let a be f(6). What are the prime factors of (a\/6)\/(3\/18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**3\/3 - 3*f**2 - 6*f - 1. Suppose -3 = 3*u + 2*t + 7, 0 = u + 2*t + 2. Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1002 - 18?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30 + 4 + 0*o**2 - 6*o**2 + 7*o**2. Let m be d(5). Let l(c) = 1. Let n(t) be the first derivative of -5*t**2\/2 - 5*t - 36. Give m*n(k) - 5*l(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1441*y + 936. What are the prime factors of h(-7)?\nAnswer: 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(28\/(-335260)) + 24\/42. Let w = r - -17270. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 31. Calculate the common denominator of (-1)\/4 - (-141)\/(-132)*a and 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -0.2646 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 10*m**2 - 17*m**2 in the form j*m + f*m**2 + p and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -99.303 and 1236517.37.\nAnswer: 1236418.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 534 - 531. Let u(a) be the first derivative of -2\/3*a**t + 3*a**2 - 4*a - 6. Let u(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503099.\nAnswer: 31, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 take away 0.1430812?\nAnswer: 485.8569188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3.4 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (52 - 30) + 4 + -5 + -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 2. Let i(l) = -29*l - 2. What is -2*i(u) - 2*j(u)?\nAnswer: 62*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.08468 - -0.05468. Let j = -23 - l. Round j to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - j + 31 = 0, 3*l - 90*j + 95*j = -17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5 times -14?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*(5\/(-1) + 8 + -5). Calculate the highest common factor of 140 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let q = t + -2.7. Let c = 0.79 - 1.79. Sort q, -3, c in descending order.\nAnswer: q, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - 6*z**2 - 51. Let t(d) = 2*d**3 + 2*d**2 + 17. Suppose 7*x + 28 - 169 = 54*x. What is x*c(i) - 8*t(i)?\nAnswer: 2*i**3 + 2*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 k when four letters picked without replacement from {i: 2, k: 3, g: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20856006.\nAnswer: 2, 3, 179, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11571 is divided by 819.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6695521429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 12*r**2 - 12*r**2 - 10*r**2 + 35*r**2.\nAnswer: r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4283 or -21421\/5?\nAnswer: -4283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 13*r**6\/30 - 3*r**2 + 29*r. What is the derivative of m(a) wrt a?\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/32 and -87\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14*1.46\nAnswer: 20.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/9 - 1054*p**3\/9 - 7600*p**2\/3 - 13152*p = 0. Calculate p.\nAnswer: -12, -9, 0, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.07. Let t = v + -0.09. What is the closest to t in -3, -4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-17408)\/(-12) - -2)\/(3\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*w - 16 = 0, 2*w = -5*z + w - 14. Let a = -1\/2964 + 667\/24700. Put a, 1\/2, z in descending order.\nAnswer: 1\/2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/2 - 17*q**4\/2 + 7*q**3 + 16*q**2 = 0.\nAnswer: -1, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026971103 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831817?\nAnswer: 7, 118831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -4 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/3 - 76*p**3\/3 - 105*p**2 - 398*p\/3 - 160\/3 = 0. What is p?\nAnswer: -2, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/7952 and -117\/69328?\nAnswer: 4922288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*g - 47 + 67 = 0, 0 = n - 2*g + 4. Suppose -13*z - 3*t = -9*z + n, 2*z + t = 0. Solve 3*p - 2*h = -h + 5, 2*p + z = -2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/9, -16\/7, 0.5.\nAnswer: -16\/7, -1\/5, 1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*q = 1211*q - 684 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 318, 669, 1020, 1371, 1722?\n\"Answer: 351*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*d = -73*d + 24 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 272*o**2 + 134*o**2 + 146 + 134*o**2 - 421 + 136.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 408, 1380, 3272, 6390, 11040?\nAnswer: 17528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*z**3 + 32*z**3 + 15*z**3 + 37*z**3.\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2040664433?\nAnswer: 44267, 46099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*h - 212*h + 17 = 207*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*r - 1313 + 1763 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145, 2293, 3441?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -519997*u + 24. Let r be x(-8). What is r rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-72)*1653\/(-5510)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:05 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112922404*b**3*y + 660*b**2*y - 18*b**2 - 734*b + 2 wrt b.\nAnswer: -677534424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69911?\nAnswer: 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -aa (base 15) to base 11\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*k + 2, -5*k = -2*j - 3 + 5. Let t be 42*j - -1 - -2. Let g = t - 32. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -2*q, -2*v + q - 4*q + 22 = 0. What is the units digit of ((-4)\/v)\/(1\/(-194))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39370291 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or -4.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13 + 0\/(-4))\/(-1))\/((-24)\/(-16) - 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 575*d - 4*d**3 - 570*d + 9*d**3 + 1 to w*d**3 + b*d + j*d**2 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119603 is divided by 4271?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*b + 15 = 4, 5*c - 4*b - 31 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2546\/(-536) + (5 - -1). Which is the closest to h? (a) -2 (b) -0.4 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (sqrt(1008) - (1 + sqrt(1008))) + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 greater than or equal to -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d - d**5 - 2*d**5 - 3*d wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281322*a**2 + 21*a - 4540.\nAnswer: 562644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005876 to four dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438845 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 10\/3*j**6 + 0*j**3 + 0*j**4 - 11 + 0*j + 31\/2*j**2 + 0*j**5. Find the second derivative of c(o) wrt o.\nAnswer: 400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from grggygrgggrggyggygry?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12595 + -1108343\/88. Find the common denominator of -73\/99 and q.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 - 454*v**4\/3 - 596*v**3\/3 + 3491312*v**2\/3 + 193483840*v\/3 + 3075142400\/3 = 0. Calculate v.\nAnswer: -190, -44, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*v + 5*v + 148, 0 = 5*v - 3*k + 147. Let h = 44 + v. What is the remainder when 55 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 - 10514354*y**2\/3 - 31543055*y\/3 - 21028702\/3 = 0.\nAnswer: -10514351, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 3) to base 11\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, f: 5, x: 6, z: 1, a: 5}. Give prob of sequence azfx.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-28))\/((-1)\/(-7)). Suppose y = 5*q - q - 21, 0 = -3*y - 4*q - 15. Let f = y + 6. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-2\/7))**(-3\/14)\/((c**(-1\/8)*c)\/c*c**(-10)))**(1\/67))**(-2\/3) assuming c is positive.\nAnswer: c**(-1275\/13132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 20480*f\/3 - 52428800\/3.\nAnswer: -2*(f + 5120)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 165*a**3 - 4 + 331*a**3 - 156*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - (1218\/(-28) - 4) and (-109)\/66 - 4\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -17\/100 (c) 2\/13 (d) -5\/3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37852\/665 at least as big as 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 24*a - 58. Determine u(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 8 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1746.3 - 1746.2. Do x and -3834 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7560 is divided by 1888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = s, 5*s + 18 + 3 = 4*v. Suppose -4*q = -2*m + 4*m - 74, -4*m = v*q - 64. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 35*q**4 - 10*q**4 - 30*q**4 + 15*q**3 = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011101101 (base 2) to base 4\nAnswer: 123231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 divided by -1704?\nAnswer: 91\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let m = 0.06 + 0.14. Let h be (-1)\/(1 - (-2)\/4). Which is the closest to h? (a) m (b) q (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9989824, 9989826, 9989828, 9989830, 9989832, 9989834?\nAnswer: 9989836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.69612 to one decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2441772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -64*d**7\/21 + 23*d**3\/6 - 45*d + 66. Let f(q) be the first derivative of o(q). What is the second derivative of f(j) wrt j?\nAnswer: -2560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1143.\nAnswer: 8001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18208 divided by -6\nAnswer: -9104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 373 (base 12) to base 4\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/32 <= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2 + 73*c - 76*c + 0. Let j(o) = 33*o**2. Give j(t(a)).\nAnswer: 297*a**2 - 396*a + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 0*a**2 + 9*a**3 - 4*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830239*a = 830232*a + 5*i - 190, -i + 38 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*q + 105, -148*q + 0*z + 4*z + 80 = -154*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-22))\/((-2556)\/284)*(-22)\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.83 and 1.003.\nAnswer: 4.84449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 35 = 5*v - 30*p, -5*v = 5*p + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.35 + 0.245. Let t = 0.03 + v. Let k = -0.016 - t. Round k to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25500199253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - o**4\/3 + 5*o**3\/3 + 4*o**2. What is the smallest common multiple of s(7) and ((-5)\/2)\/((-2)\/8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/30)\/((-18)\/(-80)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 343197?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/9 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -206886 in -29, -3, -1\/7, -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10327*c**3 + 2*c + 6318 wrt c.\nAnswer: 30981*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:34 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b + b + c, -16 = 4*b + 5*c. Which is greater: -0.006 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(112\/32)*(-7)\/(-41).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j*n**3 - 9*j*n**2 - 2*j*q**3 - 36*n**3*q**3 - n**2*q**3 + n**2*q**2 wrt n.\nAnswer: -42*j - 216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {q: 7, j: 1, e: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/9 + 1)\/((-1)\/9). Suppose -2 = l*t - 17. Let f(b) = -b**2 + 5*b + 2. Determine f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from uvvvmuuvuuvvuv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 23 - 208 = 0. Calculate the remainder when a is divided by (-209)\/(-22)*6\/3*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 - 25*k**2 - 17*k - 13. Let p be y(9). Let i(h) = 2*h**2 + 3*h - 2. Calculate i(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(425) + 0 + (sqrt(425) - -1*sqrt(425)) - -3*1*sqrt(425)))**2.\nAnswer: -60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*z**2 + z**2 + 3*z**2)*(-4*z + 0*z + 2*z) to the form s*z + j*z**2 + h + q*z**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85769 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 12*t - 21. Let n(z) = 4*z - 10. Let h be n(0). Let o be d(h). Let a be (o - (-6)\/(-4))*-2. Solve -4*l = -2*m + 2, -3*m - a*l - 22 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*u**3 - 30*u**2 - 4*u + 4035.\nAnswer: 102*u**2 - 60*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484068 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -824*r**2 + 46*r + 152. Let b(n) = -411*n**2 + 24*n + 77. Let p(y) = 5*b(y) - 3*w(y). Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.1, -0.29, 4, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 140975 + 59*o**3 + 96*o**3 - 140974.\nAnswer: 150*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264 + 262. Does 16 divide (172*n\/12)\/(3\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let p(f) = -f**2 + 1. Let d(g) = 14*g - 7*g - 4*g**2 - 7*g + 5. Let m(u) = d(u) - 5*p(u). Give o(m(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*j + 20 - 34, -4*j + 4*i + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/862 + 7367\/6896. Let y = 3 - -21. What is the common denominator of (y - 26) + 51\/(-16) and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 622 = -630. Let q = -2.2 + -2.8. Sort q, -2\/7, p, -1\/4 in descending order.\nAnswer: p, -1\/4, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/5*v - 33\/5 - v**2.\nAnswer: -(v - 11)*(5*v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.26, -1, -45, 23?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 6*s - 247. Is s greater than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -3)*6\/3. Let h be 2 - 1*0\/r. What is the derivative of -1 + l**2 - l**2 - h*l**2 + 0 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - x. Let c = -2 + 3. Let i be q(c). Find the first derivative of -2 + h**4 + 1 + i wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 > 24102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-204)\/(-3) - -30 - -7.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 5*z**3 + 5*z**3 + 5*z**3 + 61*z**2 + 3*z**3 in the form f*z**3 + i*z**2 + u + c*z and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 207*l - 11 - 10 as p + y*l and give y.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -357 - -355. Let z(l) = 2*l**2 - 5*l - 10. Let p be z(i). Let s(h) = 10*h - 1. Let m be s(1). Is p bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 22 = 4*a. Suppose 3*p = -v + 101 + 6, 4*v - 437 = -3*p. What is the greatest common divisor of v and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/59)\/v)*v\/(v*v**(9\/7)*v))\/(v\/v**17*v\/v**10) assuming v is positive.\nAnswer: v**(10193\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-300)\/378 - (-8)\/14. Let v = -2\/127 - 123\/254. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 119735\/802?\nAnswer: 119735\/802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 - 15*a - 9. Let w(j) = 4*j**2 - 7*j - 4. Let g(n) = 7*w(n) - 3*x(n). Let t be g(5). What is the highest common factor of t and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.7 (b) 1.2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4 + (4 - -5508) + 1. What is the remainder when (-8)\/44 - n\/(-33) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -84, -38, 26, 108?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - m**4 - 2*m**4 + (0*m**4 - 2*m**4 + 3*m**4)*(-3 + 1 + 6) to the form d*m + f*m**3 + u + o*m**2 + l*m**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 2635*o + 97400 = 0.\nAnswer: -487, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1432, 2098, 2756, 3400, 4024, 4622?\n\"Answer: -o**3 + 2*o**2 + 667*o + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 1, h: 1, k: 1, u: 1}. Give prob of sequence guk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 157817 - 9621990\nAnswer: -9464173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -13, -46, -111, -220, -385, -618?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 - 100*c**4 - 4190*c**3 - 31100*c**2 - 58695*c = 0. Calculate c.\nAnswer: -13, -7, -3, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -6, 0, -73768, -4, -8 in increasing order.\nAnswer: -73768, -8, -6, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3528632*t**2 + 2*t + 220564.\nAnswer: 7057264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 + 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331392 is divided by 325460.\nAnswer: 5932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*v - 1, 72*v - 73*v + 3 = 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from ffffflflfllflffffff.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*w**6 + 5*w**4 + 1449*w**2 - w.\nAnswer: 1080*w**3 + 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/40)\/(-3)*13\/273.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 1032.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638397.\nAnswer: 3, 89, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(2 - 75\/36). Let l be (14 - -76)\/(a\/1480). What is l rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*q - 246*q = -962256. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399 + 391. Let m(v) = v**2 - 2 + 4*v - 9 + v. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1122*-1\nAnswer: -2.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 2 + 1 + 6*k**3 - 5*k**2 + 6*k**2 - 9*k + 5*k**2 - 9*k**4.\nAnswer: 3*(k - 1)**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - 17)*(8\/12 - (-14)\/6). Solve 240*c - 243*c + b = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113, -164, -215, -266?\n\"Answer: -51*h - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - a - 3 = 0, 5*u + 4*a - 1 = 21. Suppose 7*t - s = u*t + 1743, t - 2*s = 345. What is the remainder when t is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 + -206. Suppose -m = v + v - 440, 0 = 3*m + b*v - 1326. List the prime factors of m.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p, 3*f - f - 7 = -p. Suppose f*y - 438 = -102. What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 17. Let x be (3\/6)\/(2\/h). Suppose -2*c + 10 = -4*p, 0 = 2*c - 3*p - x*p - 10. Solve -2*w = 2*k - c*k + 21, -30 = 5*w - 3*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ppepyyppxpeypxpp?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 63 - 2*l**2 + l**2 - 29 - 33 + 3*l. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 5.4, -4 in increasing order.\nAnswer: -4, 0.13, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30144672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*g + 2 + 0 + 1 - 3)*(15*g**2 - 9*g**2 + 5*g**2).\nAnswer: 330*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2024 - 9.2. What is l rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**24\/a*a**(-12\/7)\/a*a assuming a is positive.\nAnswer: a**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333908.\nAnswer: 2, 83477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 851 - 113. Put k, 0, 1 in descending order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13371?\nAnswer: 3, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*d, -f + 4 = d + 3. Let v(t) be the second derivative of 0 + 15*t + 1\/2*t**4 + 0*t**f + 0*t**2. Let x(j) = 3*j**2. What is v(x(b))?\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 1. Suppose 0 = 9*j + 8*j + 17. Let x be n(j). Suppose -a - 11 = -2*m, -5*a + 4*m - x = 67. Which is bigger: -2\/11 or a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/21 + 28*4\/98. Solve -5*j = -n*u + 9 - 27, 0 = -j + 5*u + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-8\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21096327229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-151)\/((-57078)\/324))\/((-78)\/(-14))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1081770 + -1081728.00152. Let u = 42 - c. Round u to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 14*j**2. Let q(d) = -4*d + 4*d + 2*d - 4*d. Determine r(q(m)).\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 720\/22 - (135 + -102)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from numkukknsseeku. What is prob of sequence unku?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -44393800*v. Let r(q) = -12*q**2. Determine l(r(w)).\nAnswer: 532725600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1\/9, -1\/20, -0.2 in descending order.\nAnswer: 1\/9, -1\/20, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f + 1. Let k be l(-4). Let v(j) = -3 + j**2 - j**2 - 4*j**2 - 2*j**2 + j**3 + 4*j. Determine v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18302400 and 77\/690.\nAnswer: 420955200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, c: 2, x: 12}. What is prob of picking 1 z and 1 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 4*m**2 + 5*m - 2. Suppose 0 = -5*j - 2*b - 9, 2*j + 24 = -j + 5*b. Let v = -6 - j. Let w = v - -6. What is a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/2 + 79 + (-223 - -327).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.271074 - -3?\nAnswer: 2.728926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -62?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 78.257649 and 6578.\nAnswer: 6656.257649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/1939 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 3, s: 5, c: 3, y: 3, h: 3}. What is prob of picking 1 c and 2 s?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 2820 = -6310 + 2918 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/8*(-3)\/12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a**2 - 3*a. Let v(s) = 29*s**2 + 3*s. Let l(o) = 5*i(o) + 6*v(o). What is the second derivative of l(d) wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41e (base 15) to base 2.\nAnswer: 1110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -12. Let m(h) = -h**2 + 2*h**2 - h**j + 2*h**2. Let z(y) = -6*y**2. Calculate z(m(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gttgttgtggtt. Give prob of picking 4 g.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 315. Determine s(37).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 155*c**2 + 226*c + 154. Let x be v(76). Solve -3\/2 + 15\/8*q**x + 9\/8*q - 3\/8*q**4 - 9\/8*q**3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:59 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 555 - 7077. What is the greatest common divisor of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let s = m - -4. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12*-1)\/(296\/(2370368\/(-429)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 170990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m + 2593 + 447. Let a = m + 775. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzzzzqzzzrzzz. Give prob of picking 2 z and 1 r.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/6060*-5*-27 and -4\/3.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -892.79359 and 133?\nAnswer: 1025.79359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237084 + -149596. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 12*p**2 + 18*p - 12. Give c(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2 + 96*l - 5329. Let r be x(35). Is -11770 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533, 529, 523, 515, 505, 493?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**4 - 6*j**3 + 3*j**2 - 6*j. Let o(h) = 10*h**4 - 5*h**3 + 3*h**2 - 5*h. Let t(a) = -5*m(a) + 6*o(a). Find the third derivative of t(u) wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from ysquq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 - -174. Solve v + 5*v + 6 = j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Suppose -a - 5*d - 133 = 19, 3*d - 648 = u*a. Is a\/9*6\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 47095251.\nAnswer: 6\/15698417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:00 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 40 = k + m, -k + 3*m + 30 = 0. What is the remainder when (-670)\/(-15) - (-2)\/(-3) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 9:24 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-945))\/((-2)\/(-6))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.034 + 0.476. Round q to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, 0.3, -2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7062535509 - 7062535509 + 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 4 - 4*v**3 - 8*v**3 - 12*v**2.\nAnswer: -12*v**3 - 15*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5. Let a = -126621 + 126623. Let m(o) = -o**3 - o + 4. Let j be m(0). Solve -4*u = -2*t - 6*u - a, j*u = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3304 and 88087?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 3452.342.\nAnswer: 10357.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h + 3. Let m(q) = 53*q + 17. What is -11*i(u) + 2*m(u)?\nAnswer: -15*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 81. Let y = 82.67 + v. Let r = y - -0.304. Round r to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + 63*a + 15. Let m be u(-21). Solve -4*q + 5*w = 17, 0 = -4*q + 2*w + w - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*f + 119*c - 7*f + 76 with respect to c.\nAnswer: f + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 f when three letters picked without replacement from fokko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4b5a2 (base 12) to base 3\nAnswer: -12020000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 (base 7) in base 4?\nAnswer: -10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 152 - 566. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 19 - (1 + -1 - (-7 - -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((294\/(-28))\/21*4\/(-50))\/1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-5390)\/88*5\/50.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4073 + -4072.9. Are f and -309\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -20 (b) -3 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116282, -116301, -116334, -116381?\nAnswer: -116442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -968368 divided by 242092?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2277*h - 583*h + 12875*h + 11278*h + 6476*h.\nAnswer: 27769*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 12*p + 3*p + 18*p**2 - 2.\nAnswer: 18*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1441818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*o**4 - 174*o**2.\nAnswer: 3480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 1. Let y = 5 - v. Let f be 2\/8*-5 + 1. Which is the smallest value? (a) -1\/5 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-55) + 13\/(-11). Let n = 1 + -1.1. Let l = n + -0.1. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6235 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + s - 6. Let i(z) = 35*z**2 + 13*z - 67. Let a(b) = -22*h(b) + 2*i(b). Let j(r) = r**2. Calculate a(y) - 2*j(y).\nAnswer: 2*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r + 98 = 0. Suppose 4*b + 68 + 44 = 0. Let a = r + b. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t + 540 = 4*z, -2*z - 2*t + 268 = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from grwrh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1.2 (b) 28 (c) 1\/5 (d) 1\/8 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 214398973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15462.01 rounded to the nearest ten?\nAnswer: 15460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3661191 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((54 - 646)\/74)\/(-11*(-4)\/2 - -1)\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010012012 (base 3) in base 16?\nAnswer: 55fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = -13, 5*k + 8*z + 7*z + 61 = 125 + 61 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u\/(u*u**(-2\/33)\/u*u)))*u*u\/(u**(19\/6)\/u) assuming u is positive.\nAnswer: u**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five eighths of a kilometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*3*(-11 - -12). Let i be ((-12)\/(-2))\/(b + -4). Solve i*t = -t - 16, -4*g + 2*t = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 939 divide 117948196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9507.3 to the nearest ten.\nAnswer: -9510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*y = 280, -152 + 8 = -2*i - 3*y. Suppose -9*s = -3*s - i. Calculate the lowest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 10*s**2 + 10*s**2 + 3*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2291316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w*w*w\/((w*w*(w*w\/(w**(-23)*w)*w*w)\/w)\/w)*w)\/w)\/w))\/w**(-32) assuming w is positive.\nAnswer: w**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 3, -5, -2, 2 in increasing order.\nAnswer: -105, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Let x be 2\/c - (-33)\/9. Suppose -2*p + x = -p. Solve 0*f + 16 = p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 5740560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8651.\nAnswer: 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -17. Which is greater: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239.5*-109.\nAnswer: 26105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27537080 and 85815?\nAnswer: 9535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229451 divided by 13?\nAnswer: 229451\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 + 3*x + 3. Let t be q(-3). Suppose -3*m = -i + 10, -t*m + 5*i = -5*m - 35. Sort m, -11, 5 in decreasing order.\nAnswer: 5, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1167517, 2334963, 3502409?\n\"Answer: 1167446*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1100001111101001?\nAnswer: -1100001111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*d**2 + 8)*(d - d**2 - d) + 36*d**3 + 2 + 2*d**4 - 65*d**3 + 38*d**3.\nAnswer: -4*d**4 + 9*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 25*k. Let n(u) = u. Give -d(j) - 2*n(j).\nAnswer: -3*j**2 + 23*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(-3\/2))\/(k**5\/(k\/k**(1\/6))) assuming k is positive.\nAnswer: k**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 1. Let x(m) = -9*m + 3. Determine -6*f(h) + 2*x(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 5 - 29 - (1 - -1 - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -15\/2. Let w = 2 + -3. Let k = w - -3. What is the second smallest value in 0.1, k, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-135)\/(-3)*(-3)\/((-45)\/10) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67844?\nAnswer: 2, 7, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(396) + 5)*6)**2*-1 + (sqrt(396)*-4 + -2 + -1*(sqrt(396) + 5 - sqrt(396)))**2.\nAnswer: 11136*sqrt(11) + 82165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209012.\nAnswer: 2, 52253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5*2 - -196. Suppose c = -a + 3*a. What are the prime factors of a?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12237966 and 8424.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12 or -423\/505?\nAnswer: -423\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-269736)\/(-21) - (-2030)\/1421?\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 0*r**2 - 2*r**2)*(117*r**2 - 94 + 94).\nAnswer: -117*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*x**2 + 19*p**3*x - 455*p - 3446*x**2 wrt x?\nAnswer: 2*p**3 - 6892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/19 + 8*x**3\/19 - 10*x**2\/19 + 4*x\/19.\nAnswer: -2*x*(x - 2)*(x - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose j = 6*j + 10. Let q be (j - f)*(5 + -3). Which is greater: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00773 rounded to 4 dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3535*p + 21391. Determine i(-6).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/4 + v**3 + v**2 + 2*v + 2. Let f(m) = 30*m - 40. Let t be f(4). Suppose -19*h + 23 = t. What is o(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*y + 580696 = -91*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u**(-5))\/u))**(-23) assuming u is positive.\nAnswer: u**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-186)\/15 + 2\/5. Let w = -16 - c. What is the common denominator of -45\/22 and (-15)\/180*9\/w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:10 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - 25. Suppose z - o = -3*z. Suppose 240 = m + z*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/42 + 3\/(36\/6524). Calculate the highest common factor of 128 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -118.\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 0, -0.6, 12\/13?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 157.43 - 81534\nAnswer: -81376.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625*y**3 - 12*y**3 + 1034*y - 2*y**2 + 1632*y - 899*y wrt y.\nAnswer: 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 0. What is the common denominator of 30\/16 + (-6)\/s and (-6)\/(-15) + (-237)\/55?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(5\/(-25)). Let x = 3343\/13 + -257. Which is the third smallest value? (a) r (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 22 = 5*u, -68*s - u - 450 = -54*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30 - 1354\/(75*6\/15).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:59 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Let y = 19 - 1. Let c be y\/(-22) + 44\/(-242). Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53924 - -376325. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-2\/9)*m**(1\/5)\/(m*m**(-1\/2))*m*(m*m**(-2\/3)*m)\/m*m\/m**(-3\/7)*(m\/(m*m**0*m))**(-5\/2) assuming m is positive.\nAnswer: m**(1583\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Suppose l*s - 803 = -23. Suppose 0 = 10*i - 7*i - s. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 2. Let i be (0 - t) + 3 + 1. Suppose -n = 2*q - 21, -q + i*q + 5*n = 15. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 42*w - 482. Calculate j(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/((-2)\/(-2140)). Let o be (k\/21)\/(1\/(-30)). Let r = -38191\/63 - o. Find the common denominator of -23\/11 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.6 - 35. Let d be 2\/(-11) + (-5)\/275. Let s = -0.1 + 0.1. Which is the closest to s? (a) -1 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3596 + -3580. What is the highest common divisor of k and 4624?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -28, 5, -23, -1264, 0 in decreasing order.\nAnswer: 5, 4, 0, -1, -23, -28, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 + 10*b + 3. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-21))\/(36\/42))\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -181 and 23.53.\nAnswer: -157.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 1. Let b(f) = -9*f**2 + 4*f + 6. Determine -b(m) + 6*x(m).\nAnswer: 9*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*v**2 + 302*v**2 - 80*v**2 - 78*v**2 - 70*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 divided by 1.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -112.1. What is the nearest to -1\/4 in -0.2, 1, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31417 - 31414. Which is the closest to r? (a) 40 (b) 0.1 (c) 1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(-16)\/(y**(-4)\/(y\/y**5*y))*(y*y*y**(2\/13)*y**1\/y)\/(y**4\/(y*y**(-5))) assuming y is positive.\nAnswer: y**(19\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1152 and 11\/37655040?\nAnswer: 112965120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5600307 - -1.\nAnswer: 5600308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/((-15)\/(-1)))*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 2*d + 1. Let l be s(1). What is the common denominator of -119\/6 and 4 - (l\/(-7) - (-11517)\/3157)?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -13. Suppose m*k = 2*k, 4*n + 36 = k. Let y be -1 - -2 - n\/(-7). Sort y, -0.2, -1\/3 in descending order.\nAnswer: -0.2, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1661410 and 2074?\nAnswer: 101346010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 35966948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12*n = -5*a + 6175, -2*n - a = 2473. Let m be (-6)\/33 - (n\/88)\/3. Let -9\/2*v - 5\/2*v**2 + 7\/2*v**4 - 1 + m*v**3 = 0. Calculate v.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + -1.2. Let l = b - 0.7. What is the third biggest value in -0.1, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -14 + 24 + -15 + -13?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*t - 408 = 0, 122*v - 120*v + t - 159 = 0. What is the remainder when 615 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/124*(-70472)\/(-230). Which is greater: d or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/(-20))\/((-2)\/(-205)) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-358)\/(-4 - -3))\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*l + 26, -31*i - 5*l = -29*i - 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 8*d**2 + 11*d - 26. Let w be j(9). Is (-2)\/w + 140\/16 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4725028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, w: 1, g: 4, e: 5}. What is prob of picking 3 r and 1 w?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 430796.8um in nanometers?\nAnswer: 430796800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11100110100011111000100 (base 2) to base 15\nAnswer: 9e37c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let o(t) = 67*t + 14. Let d(h) = 34*h + 8. Let l(u) = 7*d(u) - 4*o(u). Give c(l(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/27*(-6)\/(-12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 64 = 23*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.26, -1\/16, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1017455*g**2 + 3027724.\nAnswer: -2034910*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 5*r**2 - 2*r**2 - r**2. Let o(h) = -h - 8. Let j(z) = -z - 5. Let w(f) = 8*j(f) - 5*o(f). Calculate w(b(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*j + 48*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 divided by -19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by ((-234)\/(-45))\/(2*(-1)\/(-10)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 630 - 289. Let l = r + -336. What is the third biggest value in -0.4, 3, l, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9869133 is divided by 179438.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3878 + 4584. Which is the biggest value? (a) k (b) 0 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382398\/(-978)*2\/17 - (0 - 15)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 7*i**3 - 72*i**3.\nAnswer: -65*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61373852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(3*w + w - 6*w)*(787 + 93 + 41)*(0*w + 3*w - w).\nAnswer: -7368*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 34832377?\nAnswer: 104497131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7723 - 7747 = 4*y - 4*f - 15426, 35*f = y + 351 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 350*p**2 + 4. Let t(y) = 15400*y**2 + 175. What is -175*q(i) + 4*t(i)?\nAnswer: 350*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 + 2*s + 25. Calculate j(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -13)\/2 - (-2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 26.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c + 4 + 8*c**2 + c**3 + 6 + 8*c. Let n be b(-7). Suppose -n*l + l = -3*t - 53, -l - t = -34. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24972*a + 26742. Give w(-1).\nAnswer: 1770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 divided by 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 4 = 0. Let j = -1 - 3. Let f(w) = -w**3 - 5*w**2 - 6*w - 6. Let n be f(j). Solve -n*q = -q + o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 311 = 2*b, -2*b - 412 = -4*i + 8*i. Let g = i + 101. Solve 3*q - q = 3*v - 16, -4*q + 3*v - 26 = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1)\/2 + 104. Suppose 0 = 2*t - 3*l - o, -4*t - t + 265 = 3*l. Differentiate 9*y**4 - 21*y**4 + t - 34 with respect to y.\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2160758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*t**5 - 917*d*t**3 + d*t**2 + 11*d + 2*t**3 + 86*t**2 wrt t.\nAnswer: -120*d*t**2 - 5502*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1728 and -4.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - -125) + 20 + -68?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 1. Let r(s) = -18*s - 10. Let c(u) = r(u) - 10*z(u). Let i(h) be the second derivative of -85*h**4\/12 - 12*h. What is c(i(t))?\nAnswer: -170*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*m**2 + 691*m**2 + 714*m**2 - 1945*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705181191 to the nearest integer?\nAnswer: 52011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 84 = 620. Which is smaller: d or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 + 5*i**3\/3 - 4*i**2\/3 - 5*i\/3 + 3\/2.\nAnswer: -(i - 9)*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.632925 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 210219.51 seconds?\nAnswer: 3503.6585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 3*w + 37199997, -q + 12400005 = 5*w. Suppose 0*x - 2*x = q. What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 9\/8, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43585 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3335 and 29.\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1640241 and 33852?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2) + (1 - -13). Suppose 3*y - u = 70. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9983 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/9 (b) -1\/2 (c) 2\/7 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1098 and 244.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c + 128. Let g(d) = -2*d - 4. Calculate the least common multiple of g(-6) and v(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49075392 and 1022404.\nAnswer: 49075392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 69 - 35. Let t(n) = -18 - 2*n - n**2 + 5*n + 7*n + x*n. Is 2 a factor of t(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1.15, -3\/26, 4 in ascending order.\nAnswer: -5, -3\/26, 1.15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 4*d**3 + 18*d**2 - 4*d - 16 = 0. What is d?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3843952, 7687904, 11531856?\n\"Answer: 3843952*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -0.2, -18691 in decreasing order.\nAnswer: 17, -0.2, -18691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 220*x**2 + 216*x.\nAnswer: 4*x*(x - 54)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a week in hours?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 2052032?\nAnswer: 2052034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -4*w, -w = -3*g + 7 + 2. Let c = w + 1. Let f be ((-38)\/(-6))\/c*-9. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114213908 + 10?\nAnswer: 114213918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0837618 rounded to four dps?\nAnswer: -1.0838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:21 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1173 + -58753\/50. Let u = -1667\/140 - -118\/7. Calculate the common denominator of u and t.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/17)\/((-56)\/1736).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 388*q**2 - 1608*q - 39. Is l(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -19*h**4\/4 - 12*h**3 - 27*h**2\/2 + 50*h + 26. Let j be l(25). Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284\/(-1036) + (-1)\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (338\/85 - 2) + -2. Let g = 4362 - 222470\/51. Let z = a - g. What is the closest to -1 in -2, 3, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:11 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 - 7*c - 15. Calculate d(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n = -19 - 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, 3\/1078, 4\/3 in ascending order.\nAnswer: 0, 3\/1078, 4\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 9*r + 2. Let m(o) = o**2 + o. Let d(j) = 2*m(j) + w(j). Calculate the remainder when d(4) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aga when three letters picked without replacement from {y: 5, g: 4, a: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2917426180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3\/(-9) + (-1687)\/(-21). What is the third derivative of 84*t**2 + z*t**5 + 84*t**5 - 178*t**5 wrt t?\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1189161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1546776)\/630)\/93)\/((-8)\/10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i*s**3 - i*s - 54*i + s**2 + 6 wrt s?\nAnswer: -15*i*s**2 - i + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 417*y - 2648. Give a(6).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:19 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h)**(-38)*(h**(-6)*h)\/(h**(3\/11)\/h))**(-2\/13) assuming h is positive.\nAnswer: h**(2602\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (2 - -2))*242\/(-1089)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -55*w + 53*w, -3*z + 2*w = -0*z + 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2159199 and -0.1?\nAnswer: -215919.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7433 + 7403 + 113 + 0\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (100\/15)\/((-4)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -546d?\nAnswer: -5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 28. Let p be c(-31). Let n = -73 + 75. Solve p + n = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821.57 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 - 31 = 0. Sort 2, k, -4, -7 in increasing order.\nAnswer: -7, k, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.592465?\nAnswer: -1.18493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120030006.\nAnswer: 2, 3, 4153, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -45201242?\nAnswer: 45201244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 583 (base 13) to base 14\nAnswer: 4c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 1\/4 (c) 2 (d) 9 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0 - 4*z + 12 + 2*z - z + z. Let a be n(6). Solve 9*y + 7 + 2 = a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-1)*5 + sqrt(153))\/(sqrt(144)*-1 - sqrt(9)).\nAnswer: -11*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)\/j)**8*j**(-4)*j*j**(-1) assuming j is positive.\nAnswer: j**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1307\/8, 5, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-41 - ((14 - 21) + 0))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 25. Let m(w) = w - 24. Let a(f) = -5*m(f) - 4*q(f). Let z be a(10). Calculate the greatest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004316827992 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 21\nAnswer: -46\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 19, -604, -4 in increasing order.\nAnswer: -604, -4, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13*(6800\/(-325) + 22)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4611600 divided by 512400.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from oddqd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 - j + 22. Calculate a(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 + 408*z - 13872 = 0. What is z?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15410909.59 rounded to the nearest 10000?\nAnswer: -15410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -488, -650, -726, -692, -524, -198?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -w + j, -3*w - 2*j + 70 + 7 = 0. Let x(d) = 12 + w + 77*d - 82*d - 3. Let a be x(6). Solve -a*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 104, 141, 178, 215?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13*f**3 + 2*f**2 - 2*f + 1. Let q be r(1). Let t = q + 29. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Suppose o + 19 = y + 4*i, -y = -2*i + 6. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52 + -51)\/(2 + (164\/(-8) - -3))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 3*m + 3. Let v(b) = b**2 - b + 1. Let k be (-4 + 2 - -9) + -6. Let s(w) = k*z(w) - 3*v(w). Let l(q) = 5*q**2 - 10*q. Give l(s(y)).\nAnswer: 5*y**4 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 32\/9, 6 in descending order.\nAnswer: 6, 5, 32\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6830\/2 + 12 + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 20, -44 = 2*k - 8*d - 16. Solve 35 = -3*x - 32*q + 36*q, 35 = -5*x + k*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868688779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 54. What is the hundreds digit of -3 + 6 + 129 + i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -2. Let h(v) = -m - 4*v + 2*v - v**2 - 3*v**2. What is h(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(175) - (sqrt(175) + 0) - sqrt(175)) + sqrt(7))**2 - 5*-2*sqrt(448).\nAnswer: 121 + 104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/19 (b) -191\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2984 and 25816076?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -24, -6, -1, -562 in ascending order.\nAnswer: -562, -24, -6, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1583008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -9*j**7\/7 - 28*j**5\/5 - 100*j**3\/3 - 20*j + 3561. Find the third derivative of w(p) wrt p.\nAnswer: -1080*p**3 - 672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/29515 (b) -0.6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-132)*2 + 288\/528. Factor -9\/8 + 6*l - 51\/8*l**2 + q*l**3.\nAnswer: 3*(l - 3)*(l - 1)*(4*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3 - 1) + 2 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7958034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(200))**2.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 117 + 54 + 12*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.141 - -3.041. What is the closest to 1\/4 in -4, -2\/7, n, 10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 380*x**2 + x - 379*x**2 + 1 + 1. Let w be r(-4). Let u = -87 + 129. Calculate the greatest common factor of u and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*u + u + 12 = 0, -u + 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -2*k - 8*p, 3*k + 21 - 3 = -3*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-333)\/(-12). Let x be (0 - -33)*g\/(-6). Let v be 5\/((-15)\/(-36)) - -2. What is the highest common divisor of v and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 1. Let l(t) = -2*t**3 + 7*t + 6. Let m(f) = 6*g(f) - l(f). Let c = -3 - -6. Let s = c + -4. Give m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*s**2 - 48*s - 1\/4*s**4 - 36 - 4*s**3.\nAnswer: -(s + 2)**2*(s + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317 = -6*r + 7*r + 2*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57904344 and 1164?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -420, -444, -474, -516, -576, -660?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1630.\nAnswer: -6520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/42)\/((-2)\/(-3)). Let t = -0.5 + 0.47. Let w = t - 0.17. What is the nearest to -2 in 1\/5, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/((-2)\/4). Let d be (-1)\/(-3) - m\/(-3). Is 2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-102 + 49 - 2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 - y**4\/4 + 11*y**3\/6 + 5*y**2. Let g be m(-7). Solve -5*x = -3*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1425 by -285.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8\/9)\/f**13)\/(f*f**3)**(-47) assuming f is positive.\nAnswer: f**(1567\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-1 + 1)) + 2. Let b = 4471\/540 - 4\/135. What is the common denominator of 1*y\/(-21)*1 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7588*r - 7577*r + 132 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91959 and 15225?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/3 (b) 27 (c) -0.2 (d) -14 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 16*q - 18. Let a be y(15). What is the second smallest value in 0, 8, a, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 + 21*u**3\/8 + 139*u**2\/8 - 9*u\/2.\nAnswer: -u*(u - 9)*(u + 4)*(4*u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u - 19. Let d(z) = -4*z**2 + 24*z - 7. Let t be d(6). What is the units digit of f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 103026296*h + 5. Let d be a(2). Suppose -199947438 = -7*f + d. Suppose 0*s + 4*l - 34799980 = 3*s, 5*s + l = -f. Round s to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let o(l) = l**2 - 2*l. Let m(s) be the second derivative of s**4\/6 - 5*s**3\/6 + 337*s. Let f = -8 - -13. Calculate f*o(c) + q*m(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 7. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21869 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 54. Let d(k) = -k**2 - 6*k - 5. Let r be d(g). Determine q, given that 15*q**5 - 3*q + 9*q**5 - 23*q**5 + 2*q**3 - 9 - 5*q**4 + 14*q**2 + r*q = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268 is divided by 83.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 176*d - 2.\nAnswer: -176*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.0297.\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 13. Let w be q(11). Let l be (-26)\/(4 - w\/6). Let j = -11 - l. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2810, 2820, 2838, 2870, 2922?\nAnswer: 3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -14\/13*w**3 + 147\/13*w**2 - 686\/13*w + 37 + 1\/26*w**4. Factor d(z).\nAnswer: 2*(z - 7)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12877299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2501*b*j**3 + 9*b*j**2 + 95*b - 7*j**3 + 5*j**2 - 17*j + 923 wrt j.\nAnswer: -15006*b*j + 18*b - 42*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, 0, -5\/2, 0.4, -4 in ascending order.\nAnswer: -4, -5\/2, 0, 0.4, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**3\/6 - 807*s. Let m(a) = 147*a**2 - 7*a. Give m(c(u)).\nAnswer: 147*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109064659*r - 9739155 with respect to r.\nAnswer: -109064659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 1. Let m = -1 + 4. Let k(w) = 1 - 4 + 4*w + m*w**3 + 1. Let v(p) = -4*a(p) + k(p). Differentiate v(n) with respect to n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 + m - 1. Let b(k) be the third derivative of -k**6\/24 + k**5\/10 - k**4\/4 + k**3 - 2*k**2. Let y be 0\/(-4) - 3\/3. Give y*b(r) - 6*o(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**3 - 1\/15*c**5 + 0*c**4 + 0*c - 6 - 7\/2*c**2. Let p(k) be the second derivative of d(k). Let j(t) = t. What is p(j(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -34249350503938.\nAnswer: -34249350503940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -314513 at most -314513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -38 + (-194)\/(-20) - 12\/4.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -208760, 0, -1\/3, -0.8 in increasing order.\nAnswer: -208760, -0.8, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*a**2 - 16*a**2 + a - 56*a**2 - 88*a**2 + 25*a**3.\nAnswer: 25*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2577*c**2 - 2374*c + 1.\nAnswer: 5154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 9. Let i be y(-4). Let s = -2 + 3. Solve 5*t + i*q = -8, 4*t + 0 + s = 3*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -611 bigger than -9\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/7 - 572*h**3\/7 + 504*h**2 - 7120*h\/7 + 4768\/7.\nAnswer: -4*(h - 2)**3*(h + 149)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 203 (b) 3\/8 (c) -1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22)\/(-8))\/((-1)\/(-4)). Suppose -q - 2*i - d = 0, -3*q + 7 = 5*i + 37. Let l be (2 - 3\/3)\/(-1)*q. Let f(o) = o**3 - 5*o**2 - o - 1. Calculate f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 215, 385, 551, 713?\n\"Answer: -2*i**2 + 176*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26716537 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 11*u - 12. Suppose u*n - 16 = -4*k, 7*n - 3*n = 3*k - 40. What is the least common multiple of 22 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805 and 420?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195285 divided by 336.\nAnswer: -65095\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 2*c**2 - 6*c**2)*(c + 5*c + 2*c) - 2*c**3 + 2*c**3 + 3*c**3.\nAnswer: -61*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -16*r - 6. Is s(-21) a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 5 (b) -343 (c) 0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = -0, -2*b + 87 = 5*n. Suppose 3*k - b = 1. Solve 3*f = -4*x + f - k, 0 = x - f + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*a**2 - 6*a**2 - 15*a**2 + 37*a**2 - 153 + a - 11*a**2 wrt a?\nAnswer: -20*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - 5) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -274*i. Let r(o) = 79*o**2. Calculate r(m(j)).\nAnswer: 5931004*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63\/5 - -13. Let t(n) = -11*n - 93. Let y be t(-8). What is the third smallest value in y, 1, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g - 23. Let f be i(-7). Let h(n) = n**2 - 5*n + 4. Give h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 16\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + d + 15979*d**4 - 15944*d**4 - 2 + (173*d + d**2 - 173*d)*(-4*d**2 + 2*d**2 + 3*d**2) to the form s*d**2 + m*d**4 + w*d**3 + z*d + n and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3\/6 - d**2 + 3*d\/2 + 11. Determine m, given that u(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -9, 3\/11, 2, 12 in decreasing order.\nAnswer: 12, 2, 3\/11, 2\/41, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 15) to base 5\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126537951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2737*o**5 - 2*o**2 - 37626*o.\nAnswer: -54740*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)*p)\/p*p**(-1)*(p\/(p**5\/p))\/(p*p**(1\/2)) assuming p is positive.\nAnswer: p**(-103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*x*y**3 - 3*x*y**2 + 3*x*y + 5*x - 224*y**5 + y - 15 wrt y?\nAnswer: 78*x*y - 6*x - 4480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367697.\nAnswer: 11, 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.65, 0, 2296, 1\/5?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80623.78 centuries to decades.\nAnswer: 806237.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 6. Let h be b(2). Let d = -2 + 6. Let y = d - -2. What is the highest common factor of h and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k + 0 - 4*k**2 + 4\/3*k**3 - 1\/6*k**4. Solve n(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01117 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 8 (c) -68\/291 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/8*6\/(-66)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 389, 1087, 2385, 4481, 7573, 11859, 17537?\n\"Answer: 33*f**3 + 3*f**2 + 56*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -35. Let w = 2036.79 - 2037. Which is the closest to w? (a) f (b) -2\/11 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 1, l: 5, m: 3, n: 1}. What is prob of picking 1 m and 1 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1374042?\nAnswer: -1374045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6576 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2392 and 3908.\nAnswer: 2336984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**4\/24 + m**2. Let t = 5 + -3. Let l(v) = 6*v**t + v**2 - 2*v**2 - 4*v**2. What is l(p(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) - (-3*sqrt(128)*-2 - sqrt(128)))**2) - sqrt(128))) + 2 + -4.\nAnswer: -16*sqrt(2) + 2046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 318?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-12)\/(-24)). Let x be (q - 4\/(-6))\/(1\/(-30)). Put 0, -1\/3, 5, x in decreasing order.\nAnswer: x, 5, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3 - 33. Let l(w) = -w + 1. Let s(g) = -g**3 + g**2 - 4. Let p be s(0). Let b be l(p). Calculate the highest common factor of b and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 10*b**2 - 13*b + 19. Let d be t(-11). Suppose d = -w + 46. Solve 5 = w*j - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Suppose 5*a - 3*y = -12 - 4, 3*y + 24 = -3*a. Suppose -30 = -10*b + 4*b. Let z(g) = 8 - 2*g - 3 + 11*g - b*g. Give a*c(f) - z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - -1 - (-18)\/(-6). Let a be (-1 + -1)*(-1)\/1. Suppose v = -a*o + 3*g, -g + 9 = 2*g. Solve o*f = 2*r - r - 6, -2 = -2*r + f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162201546 + -5?\nAnswer: 162201541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 - 2*v**2 - 5*v + 1. Suppose -173*n = -167*n + 24. Let f(o) = -16*o**3 + 3*o**2 + 10*o - 3. Let u(z) = n*f(z) - 9*j(z). Determine u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l*l**(1\/3)*(l**1)**(-32))\/(((l\/l**8*l*l)\/l)\/l**3)**(2\/51) assuming l is positive.\nAnswer: l**(-1597\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52079584, 104159168, 156238752, 208318336, 260397920?\n\"Answer: 52079584*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -34563, 3 in decreasing order.\nAnswer: 3, -22, -34563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51729 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 2*w - 76, 380 = 5*i - 3*w. Solve 4*t + i - 92 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.381 + 1.971. Sort s, -5, -3\/7, 0.\nAnswer: -5, -3\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(4\/5))**(-2\/7))**(-1\/21))**(-18\/11))**(-1\/6) assuming h is positive.\nAnswer: h**(18\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a + 23*a - 53*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(110) - sqrt(110))*2 + 3*1*sqrt(110))\/(-1*sqrt(360) - sqrt(40)*2*6))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 584910101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 1\/6*k**4 + 2 - 21*k**2 + 0*k + 1\/60*k**6 - 8\/15*k**3 + 23\/150*k**5. Factor o(y).\nAnswer: 2*(y + 1)*(y + 4)*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -160424.9\nAnswer: -160424.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110110110000 (base 2) to base 6.\nAnswer: 510520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*f + 54*f = -112. Suppose 3*o = -5*l - f, -3*l + 38 = -5*o + 15. Sort 4, l, 5, 6 in increasing order.\nAnswer: l, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*r**5 - 8*r + 0*r + 45*r**5 wrt r?\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -0.03333 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 16, 1, -18, -41?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247061 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -21. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17161 (base 9) to base 3.\nAnswer: 121012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1220, 1224, 1226, 1226, 1224, 1220?\n\"Answer: -z**2 + 7*z + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-25\/4))**(-20\/7) assuming p is positive.\nAnswer: p**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 - 19*i + 3. Determine y(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (747\/6 + -6)\/((-3)\/(-120)). Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18135 or -18685?\nAnswer: -18685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 27*i - 68. Let m = 58 + -35. What are the prime factors of h(m)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -82.\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 23*r - 51. Is u(9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1482 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 12*k + 4*k)*(k**4 + k**3 - k**3).\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1166778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4774 and 53884.\nAnswer: 128621108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/21)\/(99\/(-924)). Solve 5*f - 17 = -3*g, 3*g = 2*f + p - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27109 = -457*d + 2950*d + 35216 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)\/h**(-1\/2))\/((h*(h*h*h**(-2\/21)*h)\/h*h)\/h*h**2) assuming h is positive.\nAnswer: h**(-569\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4711108 divided by 277124\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 56033076*z.\nAnswer: 4*z*(z + 14008269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1599493 milliseconds in microseconds?\nAnswer: 159.9493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 48b9?\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 5, t: 4}. What is prob of picking 1 b and 2 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 33*c**2 - 15*c**2 + 23*c**2 + 32*c + 3*c - 66. Is 84 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + 34. Suppose 38 = 15*f - o. Let l(r) = -15*r + 1. Let t be l(-1). What is the highest common factor of f and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 842 - 311. What is the greatest common divisor of a and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2314403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/11 (b) -0.9 (c) -0.5 (d) 478 (e) -0.6 (f) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 1 f when three letters picked without replacement from {h: 4, m: 1, f: 2, z: 3, i: 3, o: 6}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5060.99989435 - 5061. What is l rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 8*h - 27 - 22 + 49 + 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 1413560*g + 4240635.\nAnswer: 5*(g + 3)*(g + 282709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 2*y**4)*(-2*y - 3 + 2 + 2).\nAnswer: -4*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1)\/(156\/16)*(-2)\/4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-4 - 0))\/((-6)\/10). Let z be 130\/(-13)*(-4)\/v. Solve -c + z = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 1179693?\nAnswer: 1061723.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7692 or -7711?\nAnswer: -7711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.25? (a) -15970\/23 (b) -0.1 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*w**2 + 20*f**3*w + 920*f**3 - 31662*f**2 - 31*w**2 wrt f?\nAnswer: -12*w**2 + 120*w + 5520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 greater than 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -14. Let m(k) = -5*k**2 + 7*k + 7. Let h(d) = 2*d**2 - 3*d - 3. Let q(n) = c*h(n) - 3*m(n). Let y(s) = 4*s. What is q(y(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 15)\/(-2 + 1))\/(171108\/(-48888))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 140, 213, 298, 401, 528?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8451, -33465, -75037, -133167, -207855, -299101?\nAnswer: -406905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:19 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.226848 + 20692371.\nAnswer: 20692371.226848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -99*z + 32. Is t(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7.88, 0.2, 2 in increasing order.\nAnswer: -7.88, -1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2. Let v(d) be the second derivative of -2*d**3\/3 + 9*d. Let x(n) = 3*n. Let s(t) = -2*v(t) - 3*x(t). What is b(s(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10*r + 7. Let j be l(6). Let q = -58744\/33735 - -18\/2249. Calculate the common denominator of q and (-2)\/8 - j\/(-24).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182 + -178. Put -34, p, 2, -1 in increasing order.\nAnswer: -34, -1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 95.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + (5 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 = 4*p - z, 0 = -2*z. Suppose 3*r + 609 + 184 = p*f, 3*f - 503 = -5*r. Suppose -50 = -i + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-8 - -10)) + -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 14254796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 28. Let h be p(4). Suppose -4*v - h = -2*r, 7*v = 3*r + 4*v - 54. Solve -24 = l + 5*c, -4*l + 4*c + r = -8*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*d + 107, -2*t + 81 = t + 4*d. Which is bigger: 21 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 115, -5 in ascending order.\nAnswer: -5, -1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -12, -2*a + 3*o + 682 = -0*a. Let i = a - 132. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -387914\nAnswer: 2\/193957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1215 = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 60 = -0*v - v + 5*u + 14, -v - 17*u = 41 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 448. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425720 + -536?\nAnswer: 425162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10*(-1 - -6). Let m(t) = 193*t. Let v(q) = 3087*q. Let k(h) = 33*m(h) - 2*v(h). Let l be k(n). What is l rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**2. Let u(d) = 0*d - d + 5*d - d. What is u(o(r))?\nAnswer: 99*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 268 = -78*m + 587 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -316 from 26.106.\nAnswer: 342.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1928, 3, -1, 0 in descending order.\nAnswer: 4, 3, 0, -1, -1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/27 and -4\/11673?\nAnswer: 35019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/4, -15, 2\/5 in descending order.\nAnswer: 3\/4, 2\/5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8b5aad (base 14) to base 7\nAnswer: -55204106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 39453800.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izrizffirizzirbxzrfi. What is prob of picking 1 b and 1 x?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 - -287. Solve -3*o + 18 - b = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {p: 1, g: 1, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-20))\/6*3870\/(-44118)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1032 + 0.0968. Let w = 11.84494 + -4.6471. Let l = w - z. What is l rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558841 is divided by 311693.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 10*r - 408.\nAnswer: 2*(r - 12)*(r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ppnnpnnnnnnn.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**4 + 54350*n**2 + 13*n + 4650808?\nAnswer: 4*n**3 + 108700*n + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = 0, 9*x - 4*x = -3*f + 21. Let t(q) = -8*q + 3. What is the remainder when t(-7) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = 8*p - 8027. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16384 + 16383.971. What is the fourth smallest value in 0.09, 2, -2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33545 (base 8) to base 3\nAnswer: -201110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k - 2*k = 40*k - 420 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*h - 4*s, 60*s + 16 = 3*h + 62*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-68)*9962\/(-2344)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92487 + 5910*i + 92487.\nAnswer: 5910*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 2)*(4*u + 0*u - 2*u)*(2*u**2 + u**2 - u**2) to the form d + i*u + q*u**3 + n*u**2 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*y = -5*y, 4*w = -2*y + 6. Let z be (4\/(-2))\/(1\/(-2)). Solve -w = h - 3*x, h + 16 = 3*h + z*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -0.3, -77, -316, 12 in decreasing order.\nAnswer: 12, 3, 2, -0.3, -77, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1387 - -3485. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 337691216 and 16?\nAnswer: 337691216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2. Suppose -2*g = 2*m - 48 - 82, 3*g - 4*m = 174. Let b(s) = -453 + 453 - g*s - 19*s. What is l(b(f))?\nAnswer: -13122*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 14. Let l = -2690 - -2689. Which is the fourth smallest value? (a) l (b) 5 (c) -0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = -b, -59 + 49 = -2*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:14 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r**2 - 5*r**2 - 1 - 22*r**2 in the form n*r + i + x*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 537.5452ug?\nAnswer: 0.0000005375452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 471659 divided by -42?\nAnswer: -471659\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**3 + 7*a**3 + 3*a**5 + (-3*a + 3*a + 2*a**2)*(2*a**3 + 0*a**2 + 0*a**2) + 24 - 24 - 2*a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276 - 252. Which is smaller: t or 31?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*v**3 + 35*v**3 + 96*v**3)*(-521 + 19*v + 521).\nAnswer: 3287*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 12.94457386.\nAnswer: -12.24457386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4327a87 (base 11) to base 5\nAnswer: 3421444201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248 + 251?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000170785 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820436611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a**(4\/7)*(a*a**5)**32)**(6\/35) assuming a is positive.\nAnswer: a**(40242\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539175 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 5*i - j - 3*j - 322 = 0, -5*i - x*j = -334. Suppose 2*r = 0, -22 = -l - 0*r + 3*r. What is the highest common divisor of i and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011 + 101?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.14 (b) 0.5 (c) 0.34951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h + 3*h - 5*h)*(2*h**2 - 2*h**3 - 2*h**2) - 39*h**4 + 21*h**3 - 45*h**4 + 82*h**4.\nAnswer: 26*h**4 + 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h. Suppose -6 = 2*q - y + 3*y, -5*q + 5*y + 15 = h. Solve -l = -x - 6, 10 = -q*x - x + 2*l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505, -507, -509, -511, -513?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1033 + -777. What is the second derivative of -263*b - 241*b + 575*b + o*b**2 - 2 + 2 wrt b?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 2 + 9*p**3 - 2*p**3 - 1. Let b(v) = 5*v**3 - 7*v**3 - 12*v**3 - 3. Calculate 4*b(j) + 11*q(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(720) + -2 + sqrt(720)*-1 + 2 + 3 + -2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-54) + 18\/81 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2 + 12967*l + 35362 with respect to l.\nAnswer: 4*l + 12967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 575531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l - 2*l + 2*l**4 + 164*l**2 - 165*l**2 to h*l**3 + q*l**2 + x*l**4 + f*l + p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3135*c**2 + 2*c + 303. Let k(v) = 3144*v**2 - 3*v - 305. Let l(h) = 3*k(h) + 4*m(h). Find the second derivative of l(p) wrt p.\nAnswer: -6216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 123*d**6\/10 - 3*d**5\/20 - 393*d**4\/2 + 8895*d. Find the third derivative of u(l) wrt l.\nAnswer: 8856*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:12 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16275*y**3 - 20957.\nAnswer: 48825*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18958*m - 948233. What is i(50)?\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9333, -9332, -9331?\n\"Answer: v - 9334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -23. Suppose r + 5*v = i*v - 6, 2*r - 15 = 3*v. Find the common denominator of r + 393\/(-18) - 4 and 7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.441 + -50.559. What is the smallest value in -2\/21, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/91 (b) -0.032 (c) -1.3 (d) -1\/8 (e) 1\/9 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -38. Let z be r\/(-33) + 14\/42. Put -0.5, z, -2 in decreasing order.\nAnswer: z, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.4 (b) 5 (c) -0.5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19854 is divided by 1525?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*v = 3*p - 20, -3*v - 16 = -4*p. Solve x - 5*x = 3*j - 24, 4*j = p*x + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42928016*i**3 - 5492502*i wrt i.\nAnswer: 257568096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 + 8*v + 3. Calculate c(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 244087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(16\/6 - 2). Let p(l) = 1 + 6*l - 4*l - 3*l. Let m be p(w). Solve -3*n + g + 2 = 0, -m*n - 4*g - 3 + 27 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 5 - -1)\/((-1)\/(-5)). Suppose -a*b + 222 = 72. Calculate the smallest common multiple of 72 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 100.4244318ns?\nAnswer: 0.0000000000001660456875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/23)\/g)*g*g*(g\/(g*g\/g**3*g))\/g)**(-10))**(-45) assuming g is positive.\nAnswer: g**(42300\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 7 = -1, 3*o = 2*h - 6. Sort -3, 52, h in ascending order.\nAnswer: -3, h, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25710919?\nAnswer: 13, 17, 317, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j**2 + 4 - 66*j**2 - 6 + 299*j**2 - 83*j**2 - 77*j**2.\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165972 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 times 7.817?\nAnswer: 6.09726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/15 + z**4\/6 - 2*z**3 - 6*z**2 - 30*z. Let f(s) = 5*s**2 - 5*s + 13. What is -2*f(n) - 3*v(n)?\nAnswer: 2*n**2 - 2*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (5 + -5 + -5) - (17 + 22 + -40)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 503*r**5 + 61*r**6 + 502*r**5 - 1005*r**5 - 47*r**2 + 4 wrt r?\nAnswer: 7320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*g**3 + 142*g**3 + 46*g**5 + (1 - 2*g - 1)*(-5*g**4 - 4*g**4 + 7*g**4).\nAnswer: 50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-198)\/(-720) + 8\/(-20) - (-30)\/(-16). Let a(i) = 10*i**2 - i + 1. What is a(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 25*n + 56. Let m be o(-27). Factor -4*x**3 - x**3 - 5*x**4 - 5*x**4 - 3*x**m + 8*x**4.\nAnswer: -x**2*(x + 1)*(2*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 231 - 86 - 71 - 77. Determine r(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let u = y + 0.8. Let v be (16\/120)\/(-7*(-12)\/378). What is the closest to u in 0.3, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 14144?\nAnswer: 14161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7631360 and 6105088.\nAnswer: 30525440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9772 divided by -4886\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus -38.8?\nAnswer: -39.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 95*y**3 - 171097*y**2 + 3716423 wrt y?\nAnswer: 285*y**2 - 342194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343366 is divided by 171669.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 2*p**3 + 4*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 1}. Give prob of sequence km.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38768, -38259, -37704, -37079, -36360, -35523, -34544, -33399?\nAnswer: -32064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (1 + (1 - 2)). Solve z = -3*r + 5 + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = h - u, 7*h + 5*u - 7*u - 2991 = 0. What is the remainder when h is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 146 = 4*v, -4*v - 185 + 61 = -2*y. Let f = 109 - y. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgoxoqxxoxkxy. What is prob of sequence gq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173640, 1, 0 in descending order.\nAnswer: 1, 0, -173640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + (2 - -5) + (-13 - (7 + -15))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500 by -6538.\nAnswer: -250\/3269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgrgrrgrrt. What is prob of sequence rtgt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/299 - 930\/3289. Let y = 16 + -12. What is the second biggest value in 3, a, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 36. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-10))\/((-2)\/10). Suppose -g*t - 116 = -2*t. What is the remainder when (15\/(-2) - 0)*t\/87 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 = -143*l - 992 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6769539 or -6769537?\nAnswer: -6769537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5986 and 6806?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1001, 2009, 3017?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 303 + 70 + 110 + 95, 0 = -g - 3*f + 11 + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2218.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549487.\nAnswer: 23, 67369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbhbbbbbbb. Give prob of sequence hb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2497\/3)\/(3\/237). Let c = 64646 - y. Let v = 1093 + c. Find the common denominator of v and -75\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 - 116*w**4 - 1252*w**3 + 53060*w**2 - 244608*w - 1234800 = 0. What is w?\nAnswer: -21, -3, 14, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42552288, 42552289, 42552290?\n\"Answer: i + 42552287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*r*s**2*w - 2*r*s*w**3 + 113809*r*s - 154*s**2*w**3 wrt s?\nAnswer: -214*r*w - 308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3351 + -3297. What is the greatest common factor of 783 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 145. Let v(g) = -1240*g**2. Determine l(v(i)).\nAnswer: -1537600*i**4 + 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*z**3 + 23*z**3 - 19*z**3)*(1 + 2*z - 1)*(21 + 26 - 53 - 9*z).\nAnswer: 558*z**5 + 372*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347489 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00227659 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.00135 times 0.39\nAnswer: 0.0005265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1541.3832 - 1540. Let c = -1.4 + f. What is c rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -q + 1179, -q + 591 = 2*o - 0*q. Solve o + 1949 - 248*f + 4*f**2 - 266 + 1867 = 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21420?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 15\/23?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*x + 10923, -x - 4*x - 14564 = -4*q. Let t = -32717\/9 + q. Calculate the common denominator of 39\/10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 10:51 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2379 + 8?\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -584724 divided by -6?\nAnswer: 97454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/3 - 20*o**2\/3 + 4*o\/3 + 80\/3 = 0. Calculate o.\nAnswer: -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1*(2 + 0). Let r = -3 + o. Let j be (-1)\/(-1) - r\/(-3). Which is the biggest value? (a) -2\/7 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d. Let c be 2\/7 + (-52)\/(-14). Solve d*a - 4 = c*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9071282?\nAnswer: 2, 11, 31, 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 - 3*y - 6. Let o = 6 + -10. Let l be 2 - o*(-3)\/(-3). Let c be k(l). Solve -s + 3*w - 6 - c = 0, 4 = 2*s + 2*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 38*u + 329*u + 61*u + 940*u - 13. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2418.986 millimeters?\nAnswer: 2.418986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 - 237. Suppose -a*x = -3*y - 16, -3*x + 13 = -4*y + 5*y. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b)\/(b**(-13)\/b*b*b) assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (47 + -72)\/(0 + 1). Let u be ((-7)\/4 - 2)*10\/x. What is the nearest to 2 in 2, u, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 5, -552, -5, 12, 1 in ascending order.\nAnswer: -552, -51, -5, 1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-79 + 67)*(5\/(-3) - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04389 * 0.5.\nAnswer: 0.021945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-17)\/s)\/s*s))**(1\/25) assuming s is positive.\nAnswer: s**(19\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4)*r**(-13))**(-6\/13) assuming r is positive.\nAnswer: r**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*h = -1184 - 368 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2731*-0.2\nAnswer: 0.05462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -1\/10, 33089, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 3, m: 4, s: 2, r: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -266, -90, -0.3, -3\/2?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -389.5 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from wawatwwwwwwwwaw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.03232648 to 2 dps.\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**9*y)*y)**(-16)*y**(4\/21)*(((y*y*y*y**(-11)*y*y)\/y)\/y)\/y assuming y is positive.\nAnswer: y**(2503\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by 135.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-5))\/v)**41)**(-37) assuming v is positive.\nAnswer: v**(-7585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 + -3)*12. Let y be ((-42)\/f)\/(2\/(-8)). Calculate the highest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 22. Let k(x) = 2*x + 15. Let c(s) = 7*k(s) + 5*u(s). Let y be (-2)\/7 - (-31857)\/(-147). Let t be y\/(-21) + -4 - (-2)\/(-6). What is c(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/17505 and -59\/73521.\nAnswer: 367605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 93*x - 28 - 20 - 17 to c + t*x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.043?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 25 - 25 as r*y + v and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13040 times -1\nAnswer: -13040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110010000 (base 2) in base 14?\nAnswer: -9c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22338622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k. Let n = -3 + k. Sort 7, n, -4 in decreasing order.\nAnswer: 7, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 35. Calculate the remainder when 119 is divided by q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l + 159. Let j = -442 - -497. Calculate the remainder when j is divided by f(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*h + 6*h - 5*h)*(159*h + 99*h - 148*h + 4) in the form k + z*h**2 + p*h and give p.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 35*g = -18. Let w(f) = 7*f - 1. Let l be w(6). Let r = l + -17. What is the remainder when r is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 49799.\nAnswer: 49799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*g + 2*f = 96*g - 23, -5 = -3*g - 2*f. Let l(r) be the first derivative of -r**4\/4 + 7*r**3\/3 + r**2\/2 + 10*r - 7. Give l(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4102 + -2203?\nAnswer: -11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 689300 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 12*y**2 + 9*y + 2. Let s be q(-11). Let i = -16 - s. Let u be (-1 - 12\/(-10))\/(84\/i). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.749 * -0.5\nAnswer: 0.3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*z + 6. Let u be ((-2)\/12)\/((-1)\/(-4)). Which is the biggest value? (a) u (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 11*r + 642. Let z be n(20). Solve z*t + 12 = 25*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50088 is divided by 2177?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 4. Let a be i(-5). Let x = a + 36. Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*b, 0 = -7*r + 8*r + 3*b + 6. Solve 2*v - 12 = -4*m, 5*m - 2*v = -0*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -394.809 + 395. Let r = -0.2754 + w. Round r to 3 dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.156 + -34.844. Suppose -5*j + 3 - 8 = 0. What is the third biggest value in j, 4\/7, m, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**22*c)\/c**(-1) assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123641677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1592.4\nAnswer: -159.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-10)\/35)\/(-2)*(-2)\/(-5)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2523009*n**4 - 11*n**3 - 86976129*n**2 wrt n.\nAnswer: -60552216*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15800276*w**5 + 47400852*w**4 + 47400900*w**3 + 15800348*w**2 + 24*w = 0 for w.\nAnswer: -1, -6\/3950069, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -550 * -8263.\nAnswer: 4544650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 b, and 1 r when four letters picked without replacement from rwbaawraabblrbrbbwrw.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 10 = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 4, g: 3}. What is prob of sequence jj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3)*1 - -3. Let u(f) be the second derivative of f**4\/4 + f**3\/6 - f**2\/2 + f. Let g be u(1). Solve l = -5*b - g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 3)*(74*j**3 + 72*j**3 - 52*j**3) + 4*j - 2*j**3 - 4*j to y*j**2 + u*j**3 + d + b*j and give u.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417479*b + 820*b**2 - 776*b**2 + 417479*b.\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 0*f + 0*f)*(3 - 2*f - 3) + 68*f**3 + 39*f**3 - 65*f**3 + 25*f**3 as n + j*f**2 + p*f + i*f**3 and give i.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37247 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 3 + 7 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:36 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - (1 + -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 1050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/4)\/b))**(25\/4))**(-11) assuming b is positive.\nAnswer: b**(-1925\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**4)*((w\/w**(-2\/9))\/w)\/w)\/(w**(-2\/7))**(2\/35)*((w**(-1))**30)**(8\/11) assuming w is positive.\nAnswer: w**(-644689\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 606\/7 - 95\/7*v - 1\/7*v**2.\nAnswer: -(v - 6)*(v + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Let b(p) = -p + 1. Give 9*b(z) + 4*v(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7489221 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5512 and 4240?\nAnswer: 55120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506832366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4631 - -4630. Which is the closest to m? (a) 4 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (5 - (-1 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9443*1472.\nAnswer: -13900096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usqsjsuuzuuujsz. Give prob of picking 2 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16450 and 469?\nAnswer: 1102150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 169315661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (666\/12)\/(3\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23))**(-1\/11)*g**(-1\/11)*g**(20\/9)*g*g assuming g is positive.\nAnswer: g**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -20, 0, -1\/4, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -11. Let u be (0 + (-9)\/a)*5. Sort u, 2, -5 in descending order.\nAnswer: u, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/(3 - 4). Let g be (-8956)\/(-3135) - 10\/(-55). Let r = g - 44\/15. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 16615, 4, 0.4 in descending order.\nAnswer: 16615, 4, 1, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 726917.\nAnswer: 145383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let b(o) be the second derivative of 0 - o - 7\/6*o**3 - 3*o**2. Let r(t) = 6*t + 5. Let y(h) = -5*b(h) - 6*r(h). What is a(y(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:25 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*-2*1\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*i**3)*(-4 - i**2 + 4)*(-4 - 5 + 0).\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102825 divided by -20565.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (3 - (-5)\/5). Suppose 4*x - 6*g = -g - r, 4*g = 2*x + 10. Solve 0 = v + x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdxnzxnnxzdnndn. What is prob of sequence dz?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685*h - 674*h + 1368*h - 54 = 0. Solve -3*y = -h, 15*p = 16*p + y - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-5)*x))\/x**7*x\/(x\/x**(-7))*x**(-2\/29)*(((x\/(x\/((x**4*x)\/x)))\/x*x)**(-6\/25))**(2\/51) assuming x is positive.\nAnswer: x**(-112239\/12325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1490 times 3\nAnswer: -4470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2*t. Suppose 2*u + w + 10 = -u, 4 = -u - w. Let r be 0 - 4\/((-4)\/u). Let j(p) = -p**2 - 4*p + 3*p + 0*p + 4*p. Determine r*n(z) + 2*j(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -173.162268.\nAnswer: 34.6324536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 528*q - 197*q + 220*q**3 - 138*q wrt q.\nAnswer: 1320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 299, 190, 43, -160, -437, -806?\n\"Answer: -3*w**3 - w**2 - 85*w + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g + j = 34, 2*g - 34 = 5*j. Suppose -k = 5*q - 28, -7*k + 8*k - 3*q = -g. Solve -i - 1 = -3*m + 4*m, i - k*m - 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 200 + 6*q**3 + 378.\nAnswer: 6*q**3 + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946826 is divided by 946805?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 6*s + 27)*(0*s**4 + 0*s**4 + 2*s**4) + (2 + 2*s**3 - 2)*(-2*s**2 + 0*s**2 + 0*s**2) + 4*s**5 - 4*s**5 + 2*s**5.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 7:19 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 864 = -5*r - 9183, -3*r = 4*z - 8295. Is 2074 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1636222232 + 3?\nAnswer: 1636222235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -0.293 (c) -5\/32 (d) 5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 43*g**2 - 177*g + 2. What is x(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooxoooxxxx. What is prob of sequence xx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -0.01944?\nAnswer: -0.01944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20124563.\nAnswer: 23, 41, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.77578 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(84) - ((sqrt(84)*-2 - sqrt(84))*-5 + sqrt(84)))\/sqrt(12))**2 + 3.\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34890199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -71\/4 (c) -48\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1918 divided by -8316.\nAnswer: -137\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39732220 divided by 5770.\nAnswer: -6886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114)*-2 - (sqrt(114) - sqrt(114)*-1 - sqrt(114))*5)*3)\/((sqrt(12) + (-4*sqrt(60))\/sqrt(5))\/sqrt(2)*-6).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 9:29 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5)*2 + 5 - sqrt(720)*1) + 1)**2.\nAnswer: -160*sqrt(5) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3055140)\/446264 + 8\/(-52) - -7. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1715 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:56 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1078, 1077, 1076, 1075, 1074, 1073?\n\"Answer: -o + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35674, 35676, 35678, 35680?\n\"Answer: 2*g + 35672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -3. Suppose -463*y + 460*y = 3*a + 18, -a + 4*y + 34 = 0. What is the third smallest value in d, -70, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2363\nAnswer: -4\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**7\/1680 - y**6\/120 - y**5\/20 - y**4\/6 + 19*y**3\/3 - 3. Let s(u) be the third derivative of p(u). Let s(i) = 0. What is i?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*s + 4*s. Let l(w) = -6*w**3 - 2*w**2 + 3*w + 2. What are the prime factors of l(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9893, 19273, 28327, 37055, 45457, 53533?\nAnswer: 61283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnnxnxnnxxxxxxxxxn. What is prob of picking 3 n?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 749035202 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 + -251988?\nAnswer: -251790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4628053 and 842?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z. Let c(b) = 5*b + 14. Let h(i) = -i - 4. Let y(l) = -4*c(l) - 14*h(l). Give y(r(p)).\nAnswer: -90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.928552 - 36.93. Round l to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-2)*(-3 + (-396)\/84). Solve 3 = 21*l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.18, -0.5 in descending order.\nAnswer: -1\/8, -0.18, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 457\/2 - 3 - (-5)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((37 + -32 - -3) + (-3 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8758620 is divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41.76657 milligrams?\nAnswer: 41766570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 8 (c) 0.01766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:23 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y**2 - 37*y + 8. Let r be s(10). Suppose -r - 3574 = -6*q. What are the prime factors of q?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43895484 less than 139.7?\nAnswer: -43895344.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14499201 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = -3*x, -2*q + 149*x - 148*x = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -919, 1, -7, 400, 0 in decreasing order.\nAnswer: 400, 2, 1, 0, -3, -7, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8013 * 6361.\nAnswer: 50970693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*i = 4439*i - 127741 - 93837 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-12) - 3\/(-2). Suppose -d*h + 11 = -1. Calculate the highest common divisor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 0.22. Let g = 0 + 1. What is the closest to m in 0.3, -4, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:06 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254518999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-78)\/112 - (130\/(-16) - -8). What is the nearest to 0.1 in s, 3, 57?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(5\/4)*(n*n*n\/(n*n\/(n*n**(-4))))\/n)**(4\/25))**(-10) assuming n is positive.\nAnswer: n**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62741566 less than 62741567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*s + 55*s + 7296 = -658*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q - 3*q + 11*q to the form t + s*q and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**2*m**2 + 159040*j**2*m + j**2 + 2*j*m**2 + 15*j*m + 8*m + 508 wrt j?\nAnswer: -30*m**2 + 318080*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 160 = -0*b. Find the first derivative of -4*j**3 + 11*j**3 + 2*j**3 + 3 + b*j**3 wrt j.\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915 = 6*u + 3. Let z = 328 + u. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (8 + -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -71 (b) 1.22 (c) -357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 10592 + 3568 = 0. List the prime factors of u.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3241905 by -1080635.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2193712 rounded to three dps?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - 9*j**2 + 12*j**2 + 8*j**2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 79*l + 31 = 78*l, 171*c + 5*l = -417 - 4718 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/5)*j*j**(2\/21)*j**(8\/7)\/j**(-7\/2) assuming j is positive.\nAnswer: j**(1499\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1721449763 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 6*b**2 + b**3 + 4*b**2)*((-2 + 0 + 4)*(-4*b + 2*b + 0*b) + 2*b + b - 4*b).\nAnswer: -5*b**4 + 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1206\/1985880*52)\/((-2)\/(-20)*-1)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -724*c**2 - 5*c + 5. Let i(k) = -212493*k**2 - 1468*k + 1468. Calculate 5*i(x) - 1468*q(x).\nAnswer: 367*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 721*a*c*x**2 + a*c*x + 6*c*x**2 + 20*c + 3*x**2 + 2*x wrt a?\nAnswer: 721*c*x**2 + c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488039.37 rounded to the nearest 100?\nAnswer: 488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = 7*s - 9*s + 16 + 54, 0 = 5*i + 20 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -677 + 99*k + 677 + (2*k + 0*k - k)*(-1 - 1 + 1).\nAnswer: 98*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1285 + 28307\/22. What is the common denominator of -67\/8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 6*u = 2*c - 24, -2*c + u = -21. Calculate the highest common factor of 441 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4199b82 (base 13) to base 4\nAnswer: -1030020121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16675\/6 + 2768. Find the common denominator of 71\/156 and l.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01719 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 6*o**2 - 60*o - 128.\nAnswer: (o - 32)*(o + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 7, 0.5, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34016709 minus 1034192?\nAnswer: -35050901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-3)\/((-540)\/(-8))). Let w(c) = -p + 3*c**2 - 2 - 15*c + c. Let r(z) = -z**2 + 5*z + 6. Calculate 11*r(v) + 4*w(v).\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509, -1089, -1703, -2369, -3105?\nAnswer: -3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (-123)\/3. Let v = -10 + 16. Calculate the highest common divisor of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Is ((-64)\/(-12) + 3\/q)*159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1623014*l**2*r - 138*l**2 + 8*l - 517 with respect to r.\nAnswer: 1623014*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) -321351 (d) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441533*z - 441528*z - 44 = 2*l, z = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31454*l + 23717 wrt l.\nAnswer: 31454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 15) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*2*(2\/6)\/((-22253)\/11781).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 + 1285875*k + 953923320 = 0. Calculate k.\nAnswer: -256431, -744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 + -45 - (-11 + 1)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c = 110*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27841 = -9*f + 7933. Let z = -281 - f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let m = -13.5 - -9. Let r = m + i. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)*p*p)**14)**5 assuming p is positive.\nAnswer: p**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 13. Let q = -2893 + 2898. What is the second biggest value in q, 0.3, a, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + -2*sqrt(700) + sqrt(700) + 0)**2 + (6*(sqrt(700) + -2 + sqrt(700) - sqrt(700)))**2 + -4)*-6.\nAnswer: -156240 + 8640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 3. Let t be n(-3). Let d = -12 - -13. Sort t, d, -12 in descending order.\nAnswer: t, d, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000 (base 5) to base 14\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(448) + (sqrt(448)*-1 - sqrt(448))).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 7*f + 3. Let l(n) = -21*n**2 + 26*n - 6. Let r(g) = -4*g**2 + 5*g - 1. Let w(t) = 2*l(t) - 11*r(t). Calculate -3*c(j) - 7*w(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18517*b - 18516*b - 14 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853.313 hours to weeks.\nAnswer: 11.031625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:52 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49227196.\nAnswer: 2, 1493, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 31.5041349364.\nAnswer: 31.9041349364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 7:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -90, -224, -418?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*s = 4*b + 40, 2*s = -5*b - 223. Let v = b - -134. Let x(y) = y**3 + 5*y**2 - 5*y - 2. What is the remainder when v is divided by x(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25246896 and 64108.\nAnswer: 5828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 484, 1318, 2490?\nAnswer: 4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9319 is divided by 136?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f - 11*f - 80 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, a: 1, i: 2, c: 1}. What is prob of sequence ay?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-2))\/(4408\/1104 - 4). Let n be 2\/3*39 - 3. Calculate the highest common factor of n and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 15*r - 83 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -a - 3*r + 134, -7*a + 4*r + 245 = -2*r for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8773*v + 5614. Let t(c) = 26326*c + 16847. Let k(x) = -17*s(x) + 6*t(x). What is the first derivative of k(w) wrt w?\nAnswer: 8815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*a**2 + 1597*a**2 - 2616*a**2.\nAnswer: 151*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13*x - 13. Calculate the remainder when j(4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61196200 to the power of 1\/2, to the nearest integer?\nAnswer: 7823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (30 + (-15 - 7) + -20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, -9\/4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0 - 3. Let s be (-7)\/(-35)*(k + 13). Suppose 67 + 4 = m - s*l, -4*l = 12. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784 and 5978.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.211, 4\/5, -1\/147.\nAnswer: -0.211, -1\/147, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 819 divided by 273\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*n - 94 = 791, 1330 = 3*q - 4*n. Find the common denominator of ((-254)\/24)\/((-2)\/4) and (-4555)\/q + (-2)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3070238178 to the nearest integer?\nAnswer: 55410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054983 = 299*t - 548554. Is 117 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (3 - (37 + -12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 333\/9 + (-4)\/(-1). Let i = z + -35. Solve r = 4 - i, -3*r - 22 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c = -40*c. Solve 2*g + 10 + c = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/25)*c**(1\/48))**(15\/4) assuming c is positive.\nAnswer: c**(1129\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*w = 130*w. Solve w = 11*n - 4*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**6 - d**4\/12 + 5*d**3\/6 + 43*d**2 + 41*d + 6. Find the second derivative of b(n) wrt n.\nAnswer: 360*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 990\/80 - (-6)\/(-16). Let y(f) = -3*f**2 + 4 + 0*f + f - 5*f. Let j(v) = v**2 + v - 1. Determine t*j(w) + 3*y(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18092 - 4390155\nAnswer: -4372063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 11 - (16 - (-14 - (-11 + 10))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4*(h**(-3)\/h*h)\/h)\/(h*h\/(h*h**(-8)\/h)*(h*h*h*h**(-4\/7))\/h))\/(((h\/(h*h**(5\/4)*h*h*h))\/h)\/h**(-5\/6))**21 assuming h is positive.\nAnswer: h**(2277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 2*j - 2. Let u be p(2). Suppose 0*k - 2*k = -2*q + u, -3*k - q + 1 = 0. Suppose -4*n + k*n = -40. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5\/5 + 42*c**4\/5 + 547*c**3\/5 + 1892*c**2\/5 + 912*c\/5 - 3392\/5.\nAnswer: -(c - 53)*(c - 1)*(c + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 48*w + 342. Give y(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97128 - 97122. Let v = 6 - -60. Calculate the highest common divisor of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -5\/4 (c) -0.15 (d) -0.3 (e) -2\/45 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (55 - 83)) + (8 - (-1 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61 * -5546.73\nAnswer: -338350.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -7 + -1 - 28\/7. Let f be 1 + 15*4\/6. Let y = f + o. Solve -y*t - 12 = -h - h, -4*h + 2*t + 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.4, -1.9, -3\/7, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {v: 1, e: 5, s: 6, o: 1, z: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8 and (-15)\/27 - 0 - 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531*n**3 - 300*n wrt n?\nAnswer: 3186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.659 - -0.061. Let q = 0.28 + d. Let y = -40 + 241\/6. What is the closest to -0.1 in -0.1, q, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 3, w: 5}. What is prob of sequence ttft?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 37*p**2 + 31*p**2 + 11*p**2 in the form z + g*p**2 + y*p and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12474 and 17\/9.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/102*(-4)\/(-22))\/1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42336 by 24.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -0*x - 6*x + 3*a, 419*x - 3*a - 45 = 421*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 24. Suppose -3*z + r = 6. What is the highest common factor of z and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 17 = -2*q, q - 5391 = h - 5392 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*n**4 - 36*n**2 + 11*n - 9005 wrt n?\nAnswer: 60*n**3 - 72*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 14. Let t be k(5). Suppose g + 4*g = -3*x + t, 0 = -3*g + 6. Let w be (-24)\/7 + x\/7. Let b(c) = c**3 + 3*c**2 - c - 3. Calculate b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*p + 14, 4*h + 4*p = 5*h - 5. Let f be 39\/(6 - (-4 + h)). Suppose 40*c = f*c + 54. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q - 3*h, 2*h - 5*h - 15 = 3*q. Which is the closest to 1? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0 + 68 = 0. Let x be 0 + (-32)\/18 - (z + -19). Let o = 3 + -4. What is the closest to 3 in x, o, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29186987*m**4 + 54936*m + 8.\nAnswer: 350243844*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -5535, -17, -44 in decreasing order.\nAnswer: 30, -17, -44, -5535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/3 - 41*k**3\/3 + 521*k**2\/3 + 187*k = 0.\nAnswer: -51, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67309211 - 198?\nAnswer: 67309013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 + 278. Let z = x - 57. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 163328*k**2 + 762127*k - 272190 = 0. What is k?\nAnswer: -54438, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030073 is divided by 78.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k - 184*k + 3*k.\nAnswer: -221*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39281 divided by 5\nAnswer: 39281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0997121 to 4 dps.\nAnswer: -0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:51 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -63\/2*u**3 + 6*u + 0 + 60*u**2 = 0?\nAnswer: -2\/21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*h**2 + 140*h**2 - 30*h**2 + 760*h**2 + 11*h**2 as a*h**2 + d + n*h and give a.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.924633 weeks to hours.\nAnswer: 1331.338344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/89, 0, -0.1, -1\/5 in increasing order.\nAnswer: -1\/5, -0.1, -8\/89, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:38 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 5:26 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2805 = b + 905. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990\/22*6*(-4)\/108.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4 + (-1)\/(-2). Let v(i) = -2*i - 4 - 4 + 11. Determine v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 1\/6, 0.01, -3, -7, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 21 = 7. Let q = 1364 - 1362. Solve x*p - 2 = 5*i + q, -2*p - 5*i + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.224557 kilometers to micrometers.\nAnswer: 1224557000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -10121?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + 2a6702?\nAnswer: 2a6717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y\/y**(-2\/15))*(y**(-3)*y)**(-7\/3))**(-39) assuming y is positive.\nAnswer: y**(481\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -38. Suppose -3*a + 15 = 3*c, a + 6 = c + n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-308)\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 15*d + 2. Suppose q - 102 = -2*q + 5*o, 2*q - 68 = d*o. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208187509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - u + 3*u)*(4 + 1 - 4)*(142*u**3 - u**2 - 190*u**3 - 230*u**3) to the form q*u**3 + k + t*u**2 + r*u**4 + w*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c17 (base 16) in base 8?\nAnswer: 446027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -6 + 3 - 3*d - d - 2*d**2 + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*o**2 + 12\/5*o - 16\/5.\nAnswer: 4*(o - 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -4)*2\/(-3). Let r be 2*((-5)\/3)\/(m\/(-6)). Solve j - 4 = -4*l + 2, -4*j - r*l + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 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: Suppose 0 = 9*k - 5 - 31. Which is the nearest to -4\/7? (a) k (b) -0.3 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Let f(w) = 2*w - 7. Let b be f(5). Factor -p - b*j**2 - 3*j + 7*j + 2*j**2.\nAnswer: -(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13*g = -8*g - 32, -18 = c - 5*g. Solve -5*w - c = 2*d, 3*w + 3 = -2*w + 2*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-3 - -2)*1. Suppose -k*s = -3*d + 4 + 16, -5*d + 14 = 3*s. Find the second derivative of -2*r**4 - 2*r**d + 2*r + 3*r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -35 (b) -12 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1\/368?\nAnswer: -1\/368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294 + -203. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46822\/71 > 658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2006\/4715 + -24\/943. What is the biggest value in s, 1, 16\/7, 1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2 - 22\/44. Suppose 2*d - 4*d = -10. Suppose 3 + 17 = -4*r, -r - 15 = -d*j. Solve z*x = -j*q - 6, 5*x - 5*q = 6 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5)**(-41)\/((f**(-5)*f)\/(f\/((f*f*f**(7\/5)*f)\/f))) assuming f is positive.\nAnswer: f**(-1017\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28150818.\nAnswer: 2, 3, 19, 246937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123800 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*r - 444*r - 12*l + 223 = 0, 4*r + 16*l - 300 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 l when three letters picked without replacement from {b: 4, i: 1, j: 3, k: 1, l: 2, r: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -714a69?\nAnswer: 714a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1182.405755 to the nearest 10.\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b - 94 = -470 + 208 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 184*o - 4804. Let k be h(-158). Is k smaller than -693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138\/13 + -263\/26. Let l = 0.2246 + -0.0246. Put 30, l, w in decreasing order.\nAnswer: 30, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 273*b**2 - 339*b - 1361. What are the prime factors of x(-4)?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127\/1554 - 1\/74. Let u(j) = -4*j + 4*j**3 + 3*j**2 - 6*j**3 + 3 + j**3. Let o be u(2). Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 13. Let s be d(14). Suppose 0 = -3*j + 35 + s. Let i(l) = -l**2 + 14*l + 26. Calculate the remainder when 97 is divided by i(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g. Let b(w) = w. Let q(f) = 10*f. Suppose -4*a + 4*m - 16 = 0, -3*a - 5*m + 28 = -0*a. Let k(j) = a*q(j) - 8*b(j). Calculate k(x(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -8, 125, 446, 1027, 1940, 3257, 5050?\n\"Answer: 12*r**3 - 14*r**2 - 25*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:41 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 13*x + 19. Let o be v(-8). Let y = o - 34. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgamgagmgmmaaaa. Give prob of picking 2 g, 1 a, and 1 m.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2 - 7. Suppose -4 = 2*j - y*j. Suppose 2*k + j*r - 30 = 0, r - 1 = -3. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from illilliiiliill.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 5. Let c be q(10). Suppose 2 = i + 4*l - 0, -c*i = -2*l - 10. Is 34 - 0 - (i + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 0.4, 5, 0.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6 + (5 - 3 - 1)*(-1 - 3 + 2))*(-7 + 7 + r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let x be h + 3\/6*10. Determine w so that 37*w**2 - 37*w**2 - 5*w**5 + 11*w**4 + 3*w**3 + w**x = 0.\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/3 - 4*i**4 - 134*i**3\/3 + 4*i**2 + 133*i\/3 = 0. Calculate i.\nAnswer: -7, -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**3 - 22*c**2 - 6*c - 3. Let s(l) = -27*l**3 - 83*l**2 - 24*l - 12. Give -4*s(o) + 15*x(o).\nAnswer: 3*o**3 + 2*o**2 + 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6628 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 22.042 (c) 0.7 (d) 1\/5 (e) -4 (f) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2516, 4345, 6170, 7991, 9808, 11621?\nAnswer: 13430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 7*n + 5*q + 1656, -3*q + 8224 = -5*n. Let x = n - -2804. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2714*i + 287690. Determine k(106).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 + 21 - 13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2. Suppose 0 = -t + 2. Suppose -t*x = -x - 4. Let d(i) = -2*i + x - 4. Calculate d(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = -2*r, 0 = 1140*a - 1143*a + 3*r. Solve -5 = -k - 5*z, a*k + 13*z = 14*z + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/6 - 38*p**5\/5 + 74*p**3 + 86. What is the third derivative of d(h) wrt h?\nAnswer: 60*h**2 - 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*m - 31 = 2*m, 0 = 5*s + 5*m + 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59340 and 4692.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15370, -14734, -14098, -13462?\n\"Answer: 636*g - 16006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 1, c: 3, w: 1}. What is prob of picking 1 n and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/21 - 18*i**5\/5 - i**4\/6 - 85*i**3\/3 - 355*i. Find the third derivative of y(f) wrt f.\nAnswer: 120*f**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.98 times -205.45?\nAnswer: -45194.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(320) - (sqrt(320) + sqrt(320) + 2)) + 5) - (-5 + 0 + sqrt(320) + 2))*-5)**2.\nAnswer: -10800*sqrt(5) + 74025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 11*z**2 - 3*z + 4. What are the prime factors of g(-10)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63537134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131.2 - -114. Let h = 17.04964 + t. Let b = 0.15 + h. Round b to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/39)\/(((-1)\/18)\/((-193)\/(-1158)))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 103\/(-2)*2\/(-1). Suppose 15 = 2*l + 5*q, 77*l - 82*l - q = -95. Let m = d + l. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369406460*r**4 + 196834968*r**2?\nAnswer: 8865755040*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.612 - -17.573. Let i = 35 + h. Round i to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from {j: 2, x: 1, z: 3, s: 4, t: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(75) - sqrt(75)*1))\/((sqrt(125)*-6 - sqrt(5)) + sqrt(5)))\/((sqrt(245)\/(sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7)))\/(sqrt(63)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(21)\/sqrt(7) + sqrt(3) - sqrt(3))*5*-1)**2 - (0 + (sqrt(21)\/sqrt(7) + -1)**2 + 4).\nAnswer: 2*sqrt(3) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3057 or -3064?\nAnswer: -3064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6647 + -59887\/9. Calculate the common denominator of z and -64\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:59 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*c = 547*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 1197\/11. Suppose -2*z = -2*v - 0*z + 14, -3*v = 5*z - 5. Let f = 0.15 - -0.25. Which is the third smallest value? (a) f (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -4. Let o = 1.572 - l. What is o rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -306407*i**3 + 251*i - 196 wrt i.\nAnswer: -1838442*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011000000001100 (base 2) to base 7.\nAnswer: 1332346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + n + 1. Let i be s(-1). Let q be ((-34)\/(-4))\/(i\/(-10)). Let v = 29 + q. Calculate the remainder when 35 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((-370)\/(-4662)*7).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0*r**2 + 0*r**2)*(0*r + 15*r - 4*r)*(1 - 1 - 2*r).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*j - 13 = 0, h - 2*j = 3*h + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 42*n - 782. Let q be j(-14). Solve 4*k + 20 = q*v, -4*v - 2*k = v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, -2\/3, -53\/117?\nAnswer: -53\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -71 + 43. Let k be (4 - 30\/z) + 66\/(-14). Which is bigger: -2\/27 or k?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341292.\nAnswer: 2, 335323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 6*r. Suppose -50 = -5*g - 10. Sort r, 5, g in increasing order.\nAnswer: r, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 67685\/3 in ascending order.\nAnswer: -0.4, 4, 67685\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**5\/60 - x**4\/6 + 2*x**3\/3 + 10*x**2. Give q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 105*x**2. Let f(y) = 1095 + y - 1095. What is f(h(a))?\nAnswer: 105*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from jbg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f**2 + 18*f - 23. Suppose 9*m + 13 = -122. Let p be r(m). Let n = p - -6070. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -42296?\nAnswer: -422b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*u - 16213 = -c - 622*u, 2*c = -3*u + 32456. List the prime factors of c.\nAnswer: 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*a**2*p**4 + 2*a**2*p**2 - a*p**2 - p**4 - 6*p wrt p?\nAnswer: -672*a**2*p - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 299980993 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.54 + 1.38. Let f = 4.16 + z. Let d(m) = m**2 + 4*m + 2. Let g be d(-2). Sort -5, 1\/4, g, f in increasing order.\nAnswer: -5, g, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200.028549 hours to weeks.\nAnswer: 1.190646125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3708116 * 0.2\nAnswer: -741623.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -85 - (73 + -12 + -62)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-52) - 128\/(-256)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5041.8l to millilitres.\nAnswer: 5041800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x. Let f(h) = -h - 1. Let z(k) = -3*k**2 + 10*k + 6. Let m(j) = 6*f(j) + z(j). Suppose -6*c - 84 = 22*c. What is c*m(p) + 12*o(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49737237664*s + 49737237664*s - 25*s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84644777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 948010.7 litres?\nAnswer: 948010700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -5*i - 744. Let j = 98 - i. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 22. Let g = -7 + h. What is the third derivative of -5*a**3 + a**3 - g*a**2 + 6*a**2 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 2)*(-2)\/1. Let u be (-2)\/1*(-84)\/r. Suppose -2*m - u = -65. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**2 - v. Let w be g(-1). Suppose 0 = 5*x - 3*n - 23, n = -3*x + 2*n + w. Solve -3*z = -z - x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 30. Let n = k - -82. Solve n = 4*l + 4*c, -8 = -2*c - 0*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 7*z**2\/2 - 10*z - 3. Let d be (6 - 0)*(6 - 5). Does 9 divide n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797159931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.74 + 7.739999176. What is o rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111010 (base 2) in base 12?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) 6 (c) 2\/7 (d) -0.1 (e) 5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262\/315 + -14\/45. Suppose 2*j = 0, -3*b = -0*j - 3*j + 4671. Let x = b - -6279\/4. Find the common denominator of x and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**13*(q\/(q\/(q*q**(1\/2))))\/q)\/(q\/(((q**(2\/21)*q*q*q)\/q)\/q)*q**2*q))**(-20\/11) assuming q is positive.\nAnswer: q**(-4450\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361 - 167. Is 42 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Suppose 0 = -5*j + 2*o - 3, 22 = v*j + 8*o - 3*o. Let m = -386\/63 + 46\/7. Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)*2 - sqrt(147))*-1)\/(sqrt(54)\/sqrt(2) + sqrt(27)))\/((sqrt(42)\/(-3*sqrt(6)) - sqrt(7)) + sqrt(7) + (sqrt(700) + -1*sqrt(700) - sqrt(700))).\nAnswer: sqrt(7)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/4 - 5*k\/4 + 3\/2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 8. Determine t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 558?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 2*r - r + 0*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p)*(4 - 4 - 2) - p + 4*p - 4*p + 2 - p - 2 + (16017 - 8912 - 8700)*(-3*p + p + 3*p) + 4*p + 0*p - 3*p - 2*p - 1 + 1.\nAnswer: -1602*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + m**2 - 4*m**2)*(-2 + m**2 + 2) + (56*m**3 - 27*m**3 + 8*m**3)*(-2*m - 1 + 1 + 2) as g*m**3 + x*m**2 + l*m + a + d*m**4 and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (38 + -2)\/(24\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + s**4 + 154034*s**3 - 153383*s**3 - 1 + 823*s**2 wrt s?\nAnswer: 24*s + 3906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 5}. Give prob of sequence dz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 701 - 1543. Find the second derivative of -o + 204*o**3 + 31*o**4 - c*o**3 wrt o.\nAnswer: 372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*i - 102 - 111 + 1305 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329 + 330. Let r(t) = 2*t**4 - 1. Let d(y) = 6*y**4 - 40*y**2 + 35. Let k(s) = i*d(s) - r(s). Solve k(n) = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2 - 3. Let y be ((-6)\/9)\/(2\/(-42)). Suppose 2*c - y = -6. Sort c, -5, i.\nAnswer: -5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5) + (-202)\/3030.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(6\/(-2) - -5). What are the prime factors of d\/18 - (-1845)\/81?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from {a: 2, g: 9, w: 3, d: 1, l: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + v = -243, -i = 3*i + 5*v + 186. What is the units digit of 116*(i - -32)*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2\/3 (c) -9660\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169215304 and -0.02.\nAnswer: 3384306.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + -0.3. Suppose 0 = -0*b - 3*b. Suppose -f = -b*f. What is the second smallest value in -2, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5935\/(-30)*86)\/(1\/(-6)). Let t = a - 25112207\/246. Let n = 1\/41 - t. What is the closest to -0.2 in 5, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 6*a**2 + 22*a**2 - 8*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -3, -12492 in decreasing order.\nAnswer: 174, -3, -12492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 211107 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-4)\/210*3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 2*h = 10*q + 13, 16*q + 137 = 11*q + 8*h for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 31*n + 66. What is the units digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*u**2 - 2 - 108*u**2 + u**3 + 57*u**2 as q*u**3 + s*u + x + n*u**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 218127037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0 + 0*l**2 - 1\/12*l**4 - 5\/6*l**3 - 1\/180*l**6 + 1\/30*l**5 - 7*l. Let v(t) be the second derivative of d(t). Factor v(s).\nAnswer: -2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 - -1017. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21148 + -0.2114776823. What is r rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1394.829 millennia?\nAnswer: 13948.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*r - 4\/11*r**2 + 4\/11*r**3 - 2\/11 + 6\/11*r**4 + 2\/11*r**5.\nAnswer: 2*(r - 1)*(r + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11736485 is divided by 189298.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 3*v**3 - 2*v**4 - 4*v**4 - 5*v**4 + 2*v**4 + (2*v + 3*v - 3*v)*(-v**3 - 4*v + 4*v) + 6*v - v - 2*v**4 + 0*v.\nAnswer: -13*v**4 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191948\/863847 - -2\/95983. Factor -4\/9*v**2 - 4\/9*v**3 + l*v + 2\/9*v**5 + 2\/9*v**4 + 2\/9.\nAnswer: 2*(v - 1)**2*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 32 + 26 + 5*b)*(4*b + 73*b - 13*b + (-4 + 3 + 2)*(3*b + b - 2*b)).\nAnswer: 330*b**2 + 132*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 1.93. Let w = u - -1. Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 17*l**2 - 15*l - 230. Determine c(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 13) to base 11.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/2)*p))\/(p**(-8)*p) assuming p is positive.\nAnswer: p**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 42631.9.\nAnswer: 42631.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**3 + 33523*y**2 - 21899*y + 1.\nAnswer: 6*y + 67046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 8. Let p be c(-4). Let h = p + 22. Suppose -5*i + 3*i = -4*y - h, -i + 4*y = -27. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122\/1220 + (-11369)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4198.78 and 145.\nAnswer: -608823.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 8, s: 6, a: 3}. Give prob of sequence aada.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/x**23*x)*x*x**(-14)*x)\/((x*((x*x**(25\/6)\/x*x)\/x*x)\/x)\/x*x*x**14) assuming x is positive.\nAnswer: x**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:58 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 55 = 34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62758\/17 + -3694. Calculate the common denominator of j and -26\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60840000 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 7*l + 6. Suppose 30 = -4*d - 2*i + i, -2*i = -2*d - 10. Let m be r(d). Let g(j) = j - 6 + m. Let u(c) = -14*c. Give u(g(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.138 + -5.138. What is the smallest value in -1\/5, -0.0073, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:15 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 1498968.\nAnswer: 14989.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = 2*t. Suppose y = -t*y - 8. Let r = -2480\/3 + 825. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((33 - 37) + (0 - -3))\/(-7). Let w = -0.04 - -2.04. What is the nearest to -4 in w, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - 0.17. Let m = v - -0.5. Let w = -2671\/11 - -243. What is the second smallest value in w, m, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 3)*34\/(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11761524 divided by -81?\nAnswer: -145204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/64 (b) -271 (c) -0.7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3113421241314 + -4?\nAnswer: 3113421241310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1563434516 to 5 dps.\nAnswer: 0.15634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 702?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -121.96. Let r = 0.96 + q. What is the biggest value in 4, r, 2.2, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481650 a multiple of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 2. Let r(m) = 33*m + 1. Let p be r(-2). Let o be p\/9 + 2\/9. Let z(k) = 9*k - 3. Suppose -53*h = 69*h + 488. Determine h*z(l) + o*b(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 - f + 5. Calculate r(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 2. Let p be q(5). Let h(s) = -s + 6. Let a be h(p). What is the biggest value in 0.1, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000463824 to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187)*-2 + ((sqrt(187) + (sqrt(187) - (sqrt(187)*-1 + sqrt(187))))*-6 - sqrt(187)))\/(-2*sqrt(1100) - (sqrt(99) - sqrt(11))*6).\nAnswer: 9*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) - (sqrt(350) - (sqrt(350) - sqrt(350)*-1)))*4)\/(sqrt(60)\/sqrt(54)))\/(-5*6*sqrt(720)*1*1).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -754.9451 - -755. What is p rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836 divided by -306?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/472 and 85\/14?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-459)\/(-34) - (-10)\/(-4). What is the third derivative of 20*c**2 + 3*c**4 - 44*c**2 - 52*c**2 + 7*c**3 + a*c**2 wrt c?\nAnswer: 72*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*y**4 + 70*y**4 + 71*y**4 + 4*y - 2*y**3 + 2*y**2 to the form d*y**2 + p*y + g*y**4 + b + o*y**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -3295 (c) 508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41867000.\nAnswer: 2, 5, 7, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292318 = -i - 5*w, -8*i - 3*w = -4*i - 1169255. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 + 13*k**3\/3 + 2*k - 1. Let z be o(13). Find the first derivative of 2*a**3 + 1 + 3*a**4 + z*a**3 - 4*a**3 wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*l - 14, 5*r - 3*l - 11 = -4*l. Which is bigger: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2\/3 + 591904*l\/3 - 1578496 = 0.\nAnswer: -147984, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 11}. Give prob of sequence bxb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -41. Let t be (-3 + -5)\/(v\/274). What are the prime factors of 4\/(-14) + t\/(-28)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Let b = g + 1. Solve b*t = -2 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-8)*(-2)\/(-1). Solve -p = 4*i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31369739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:04 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -949 - -977. Calculate the lowest common multiple of n and 152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 993250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 6*f + 9. Let o be z(-8). Calculate the highest common factor of 37 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 6 (c) -3 (d) 2\/3 (e) -1.1 (f) -2\/41 (g) 56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 f when four letters picked without replacement from dddddffdddfddddddd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 12596086*m + 39665345629849.\nAnswer: (m - 6298043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-3))\/((-5)\/15). Let p = x - -37. Suppose p + 106 = u. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 329804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 - 4*j + 122. What is the remainder when v(0) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2)*4\/(-6). Let k be 1\/4*t*22. Let n be (-1)\/1 + (-9)\/k. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26435 and 31960?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -11*r + 155. Let q = r + 169. Suppose 2*s + 4 = 2*l, -l + 3*s - 8 = -0*l. Calculate the highest common factor of l and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -1818, -1820, -1822?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4521824, -4521828, -4521832, -4521836?\nAnswer: -4521840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 509, 505, 499, 491, 481?\n\"Answer: -c**2 - c + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 39 + -11 - 17) + (-69 - 3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g + 3*a - 13 = 0, -5*g + 4*a + 21 = 0. Suppose 10 = g*v, 3*v - v = -x + 11. Let u be 2\/x + (-15)\/(-21). Solve -n - u = 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -702 + 716.74. Let v = 0.26 + p. Let m = -19 + v. What is the third biggest value in -2\/7, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*x - 8*x**3 - 30*x)*(-2 + 0 - 5).\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**3\/6 + 3*c**2\/2 - 72*c. Let z(r) = -2*r - 6. Calculate 5*p(g) + 3*z(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43730025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5, 3*f = -5*i + 3 + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 8*d**2 - 7*d + 12. Let g be s(-9). Let m be (28\/g)\/(2\/(-3)). Suppose -m - 3 = -f. What is the remainder when 19 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*s - 37 = 0, 35*s - 33*s = 4 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 25.\nAnswer: 37\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-3 + -40*1). Let h = 1721\/8 + z. Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 153. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 7*s**2 - 4*s + 1. Let q = 11 - 5. Let y be r(q). Find the second derivative of -11*w**5 + y*w - 28*w + 0*w**5 wrt w.\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272802360 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 + 34*j + 66468 = 0?\nAnswer: -174, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(3\/7)))\/((l\/((l\/(l\/((l*l**(-30))\/l)))\/l*l))\/l*l) assuming l is positive.\nAnswer: l**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/309336 and -73\/618672.\nAnswer: 618672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-3)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22237 and 47479?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12 and -161\/115302.\nAnswer: 230604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589287.\nAnswer: 3, 196429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) - (-6*(sqrt(416) - sqrt(416)*-1) + sqrt(416)))\/(4*sqrt(10)\/sqrt(20)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 467315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/46405 or 1?\nAnswer: 1\/46405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, s: 1, e: 2, j: 1, g: 7}. Give prob of sequence gqs.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*i - 5*c, -3*c = 3*i - 6 + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*11*-230*189\/26082.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 130*4\/8 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*q + 64*f**2 - 2*f*q*u - f*u + q*u + 2*q + 19*u wrt f?\nAnswer: -2*f*q + 128*f - 2*q*u - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + 19\/3. Let d = 19 - u. Suppose 0 = 2*s - d - 0. Calculate the lowest common multiple of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1292 and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 327643 and 1310572.\nAnswer: 1310572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + z - 7*z**3 + 38*z**3.\nAnswer: 36*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1002)\/(-21) + 4\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72505 by -4.\nAnswer: 72505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two fifths of a decade?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (-69 + 59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -145 - 38bfa?\nAnswer: -38d3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/60 - i**5\/15 - i**4\/12 + i**3\/3 + i**2. Let s(p) = 1. Let z(x) = -l(x) - 2*s(x). Let z(n) = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561695 is divided by 6484.\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 76671.13 and -0.4?\nAnswer: -30668.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 5 + 4*v**2 + 2*v**3 - 20 as t + w*v**2 + i*v**3 + u*v and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9266.2689 rounded to the nearest 100?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 0*v + 0*v + 2*v to y*v + s and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2150\/(-25))\/((-18)\/(-9)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 37*d**2 - 8*d + 4. Let n(x) = 106*x**2 - 22*x + 11. Let c(v) = -22*j(v) + 8*n(v). Let r(i) = -122*i**2. Determine r(c(z)).\nAnswer: -141032*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16735217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2882*j*k**4 + 79*j + 10*k**2 wrt k?\nAnswer: -69168*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2438\/3948 - (-29)\/(-87). Let w be -2*(-156)\/141 - 2. Let s = w - o. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*s**5 + 1 + (-4*s**4 + s**4 + s**4)*(2 - 2 + 4*s) + (4*s**3 + 4*s - 4*s)*(s**2 - 2*s**2 - s**2) - 1 + 1 - 2*s**5.\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 313\/3 - ((-1)\/(-3))\/1. Solve 22*p - i = 9*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5465620 by 4.\nAnswer: -1366405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -14 + 219\/(-45) + (-2)\/15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 3*u + 1222*m - 1223*m, 3*u + m - 51 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszzzzszhzzzzhrz. What is prob of sequence hh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21.6588757 and -9.113.\nAnswer: 12.5458757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1221102?\nAnswer: -1221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/216*216\/(-5760)*5?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -80?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*m = -13, -16*x = -17*x + 3*m - 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 - -498. List the prime factors of c.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, -20, 1071?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 + 5*d**5 - 3*d**5 + (7*d**2 - d**2 - 3*d**2)*(-3*d + 3*d - 5*d**3) - 6*d**5 - 5*d + 4*d**5 + 4*d.\nAnswer: -12*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 3. Let q be t(4). Let m = 0.1683 - 0.1683. Which is the nearest to m? (a) -2\/5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 2, -1, -2, 0.06, 43, -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 13854\/122539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107029679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvepggggvvgvvgv. Give prob of sequence ggp.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3137a733 + 4?\nAnswer: 3137a737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g**2 + 4*g + 7. Let r(m) = m**2 - m - 1. Let h(p) = -l(p) - 6*r(p). Let i be h(-3). Calculate the highest common factor of i and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36467217.\nAnswer: 3, 1997, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 - m - 2. Let b be j(-2). Let g be (-2)\/(3 + -45)*(-141 - -147). Sort 0, g, b, -0.4 in descending order.\nAnswer: g, 0, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44551, 89088, 133615, 178132, 222639, 267136?\n\"Answer: -5*i**2 + 44552*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 25*q - 347. Let o be j(14). Solve -x = -o*z - 0*x - 5, -5*z + 10 = 2*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h - 64. Let m be y(-11). Let l = 137 - m. Solve 0 - 9 = -l*z - 3*q, 0 = 4*z - 2*q + 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -4b2a?\nAnswer: 4b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 267886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -2 - (-14)\/(-8). Let f = -5 - -4.7. Which is the closest to 2? (a) w (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 91*s + 80*s - 2 - 66*s. List the prime factors of p(3).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + -1. Let v = 23.23 + h. Let c = 0 + v. What is c rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66495 (base 15) in base 16?\nAnswer: -4f5b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 204, 281, 398, 555, 752, 989, 1266?\n\"Answer: 20*y**2 + 17*y + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 156748 = -821333. Let q = z - 20338. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = h + 4*l, -4*h = -3*l - 16. Let x be ((-2)\/3)\/(4\/(-6)) - -314. Suppose -4*v = h*j - 752, -4*v = 5*j - 620 - x. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1)**(1\/11)\/(b**(-1\/2)*(b**3\/b)\/b*b))**(-31) assuming b is positive.\nAnswer: b**(899\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1336 - 749. Let t = -468 + a. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (1 - (-3 - -2)). Suppose -o + 14 = q*p - p, 2*o = -2. Calculate the least common multiple of p and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose v = l - 0*v, 5*l + v - 24 = 0. Calculate the greatest common divisor of t and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 22?\nAnswer: 21\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/11)\/s)\/((s*s\/(s\/s**(1\/5))*s)\/s) assuming s is positive.\nAnswer: s**(-101\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329.93574 + -330. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1753 + -1717. Calculate the highest common factor of 1092 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*j - 15. Suppose 6 = -3*o + 6*o + 3*t, -j = -5*o - 3*t. Let v be ((-2 + 4)*1)\/3. Which is the closest to 0.1? (a) o (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*r**3*t**3 + 159*r**3 - 26*r**2 + 3*r*t**3 with respect to t.\nAnswer: -231*r**3*t**2 + 9*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*h**4 - 3*h**2 + 40*h**4 + 7 - h + 4*h**2 + 34*h**4 in the form p*h**3 + y*h**4 + x*h**2 + w*h + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25\/111 + -799\/888. Which is the second biggest value? (a) -0.5 (b) 0 (c) -1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6*n = 3*n + 191, n = 5*t - 215. Let h = -133\/3 + t. Let v = 0 + -1\/2. What is the closest to -0.1 in 0.4, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*j**2*k**2 + 3714*f*j**2*l - 22*f*j*k**2*l + 2*f*j*k*l - 279*f*k**2 + 3*f*k - 2*k*l wrt k?\nAnswer: 4*f*j**2 - 44*f*j*l - 558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 70*l**2 - l + 1. Let g be x(2). Suppose 2*k = -k + g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 + 10 = 0. Suppose 0 = 4*s - q*s. Let d be 24\/(-22)*(-2)\/4. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 1\/6*v**4 + 0*v + 1\/3*v**2 - 1\/2*v**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 0*w - 6*w**3 - 15 - 10*w + 6*w.\nAnswer: -6*w**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 739213728 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*f = 20, -8 = 5*p - 5*f + 3*f. Solve p = -5*q - 3*u + 12, 13*q + 5*u - 1 = 11*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 5 = j, 2*m = 5*j - 19. Suppose 4*p - j*d = -1 - 8, 0 = 3*d + 15. What are the prime factors of (p + 15)\/(6\/44)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51222.56 tonnes to kilograms.\nAnswer: 51222560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h - 7. Let x = 3478 + -3481. Let t(m) be the first derivative of 6 - m**2 + 4*m - 8 - m. Calculate x*f(q) - 7*t(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -514, 3, -11.\nAnswer: -514, -11, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 202935*i**2\/4 - 2840943*i\/4 - 9943129\/4.\nAnswer: -(i + 7)**2*(i + 202921)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(1573) + (4*(sqrt(13) - (1 + sqrt(325))))**2.\nAnswer: 139*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 140161400 to the nearest one hundred thousand.\nAnswer: 140200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m\/m**(-5\/4))\/m*m))**(12\/5) assuming m is positive.\nAnswer: m**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.9953. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 14284*w = 14282*w + 20, -4*z = w + 34 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*2\/(-120)*2. Which is the biggest value? (a) 4 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 + 596*n**2 + 10638*n + 10044 = 0.\nAnswer: -279, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.3 (c) -327 (d) 7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8408\/12)\/(16\/6249). Let j = 273188 - q. Let g = j + 462. Calculate the common denominator of 1\/3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11001 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 2 k when four letters picked without replacement from mmckmlwwqcmklk.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 8*v**2 - 6. Let g(f) = -2*f**3 - 8*f**2 - 7. Let o(i) = -3*c(i) + 2*g(i). Let x(t) = -t**2 - 1. Let z(h) = -o(h) - 2*x(h). What is z(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17169752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*z - 388 = -2*u, 5*z = 5*u - 1970. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8090015.\nAnswer: 5, 1618003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 462, 473, 488, 507, 530, 557?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**3\/6 + w. Let i be (12\/15)\/(2\/5). Let n(r) = -3*r + 3*r - r**i + 0*r. What is k(n(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 226635089999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -49 + 516 + -474\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25821)\/(-304) - -12 - ((-1205)\/80 - -15)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13803, -100, -2, 3 in decreasing order.\nAnswer: 3, -2, -100, -13803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejveevsesejjeveeve. What is prob of picking 1 v and 1 e?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 - 66*l**3 - 465*l**2 - 1122*l - 720 = 0.\nAnswer: -10, -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 - (-1 - 1). What is the derivative of -1 - r**2 - t + 2*r**2 - 2*r**2 wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Calculate the remainder when 32 is divided by 16\/c + 9 + -8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3108 + 109*p**2 - 3108 as s*p**2 + c*p + g and give s.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {e: 2, j: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*a + 330, -3*z - 4*a + 330 = -6*z. Let v = z - -154. What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m - 35. Let q be n(7). Calculate the greatest common factor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 6745*o + 5645843. Give i(-1543).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -50. Put -1, 4, 3, q in descending order.\nAnswer: 4, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + m**4 + 0*m**4)*(-851 + m + 1711 - 852).\nAnswer: -2*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 1, d: 2}. What is prob of sequence xjdd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -161*i. Let c(n) be the third derivative of n**4\/12 - 516*n**2. What is c(l(w))?\nAnswer: -322*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - m**3 - 5*m**3)*(2*m**2 - 6*m**2 + 3*m**2) - 4*m**5 + 2*m**5 + m**5 - 2*m - 5*m**5 + 2*m**5 + 3*m.\nAnswer: -2*m**5 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1263.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*n**4 + 368*n - 298*n**4 - 218*n + n**3 wrt n.\nAnswer: -2688*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7596.54 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-3)*54\/(-12)*48 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 160*t**2 - 688*t - 704.\nAnswer: 4*(t - 44)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (2 - 5))*13. Let h = 15 - i. Solve 0 = 5*z - h*l + 6 - 22, -l - 1 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 298 - 98 + 67 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49 + 1)*1\/2. Let z = c - -43. Suppose -3*d + v + 45 = 0, 0 = -2*d + 5*v + 64 + 31. What is the remainder when z is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 9. Is k < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*b)*(1 + 5 - 5) to the form x*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.4, 1.4, 4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 10:17 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3256658, 3256659, 3256660?\n\"Answer: y + 3256657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*c + 2*c - 134, -68 = -i - 2*c. Let p = i - 190. List the prime factors of p\/(-10) + 4\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114734 is divided by 57249.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from {f: 1, o: 2, k: 1, c: 1, d: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 270, 280, 290, 300, 310?\n\"Answer: 10*h + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v + p - 28 = 0, -4*p = 0. Suppose 3*l = 5*u + 22, 3 + v = 4*l + 3*u. What is the second derivative of -9*n**4 + 2*n**5 - n + 9*n**4 + l*n wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-24504.\nAnswer: 98016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21180048 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (1 + 2))\/1 + 5. Suppose 3*v - 15 = -s*b + 6*b, -4*v = -4*b - 20. Solve v*i + 17 = 4*i + 4*q, i - 3*q + 14 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/51)\/((-1)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-15)\/20)*(-12)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**2 + 6. Let q(b) = b**2 + 8*b + 10. Let d be q(-8). Let i(w) = w**2 - 1. What is d*i(y) + o(y)?\nAnswer: 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1378192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - f**2 + f + 1. Let b be w(0). Suppose 4*x + x = 15. Let i be -1*(-4 - 2) - 2. What is the nearest to b in x, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.2108, 4, -2, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5338.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((9\/(-6))\/(9\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*((10*x - 17*x - 14*x)*(-1 + 5 - 2) - 2*x + x - x).\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37025, 148274, 333697, 593294, 927065?\nAnswer: 1335010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**2 - 1. Let x(y) = 493*y. What is x(j(s))?\nAnswer: -5423*s**2 - 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30430 and 36006.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/35))\/(k\/k**(-9\/10)) assuming k is positive.\nAnswer: k**(-59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*x**4 + 1044 - 1044)*(x + 4*x - 3*x) + 5*x**5 - 2*x**5 - 2*x**5.\nAnswer: -129*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31 + 79*g + 28*g + 89 - 50 + 24*g with respect to g.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/70 - (-4)\/14. Suppose -2*k + 56 = u*k. Calculate the remainder when 41 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 - 17 = 0. Suppose 232 = -z*i - 86. Let c = i - -95. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**3 + 7*b**2 - 18*b + 64. Let l = -512 + 517. Is t(l) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 28770916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -83. Let j = q - -23. Which is the biggest value? (a) j (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 2, -0.3, 54\/55, -4, -1\/4, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = m - 21, 0 = m + 5. Suppose 2 = 2*p, 5*t - 456 = -r*p + 229. Let n(y) = y + 35. Calculate the remainder when t is divided by n(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(2299)*1 + sqrt(2299)))**2 + ((-5*(sqrt(2299)*2 + sqrt(2299) - sqrt(2299)))**2 - (1 + sqrt(2299) + -5)**2).\nAnswer: -1232*sqrt(19) + 558666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 12, -4395, 0.1, -2\/13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -28. Let c(i) = i**3 + 11*i**2 + 4*i**3 - 11*i - 4*i**3 + 15. Let a be c(v). Solve 1 = -2*p + a, 3*t = -p + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 51409*u**2 - 1010. Let m(z) = 204*z**2 - 4. Let p(j) = -2*k(j) + 505*m(j). Let b(i) = 3*i**2. Calculate p(b(c)).\nAnswer: 1818*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 + -126. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - 5 - (1 + -9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3\/7 + 5568*j**2\/7 - 4816*j - 223680\/7 = 0.\nAnswer: -1398, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 2*b = -9*d - 426, 3*b + 851 = 4*d. What is the remainder when d is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 336 + 135 - l.\nAnswer: -l + 471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7513, -15155, -22797, -30439, -38081, -45723?\nAnswer: -53365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1201 - 1481775.\nAnswer: -1480574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14657 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgtttbztbjjdbj. What is prob of picking 1 j and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + 1000002200111?\nAnswer: 1000002202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 35. Calculate j(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:02 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -631978*x + 1895820. Give r(3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2695798 by -4.\nAnswer: -1347899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:59 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3798 and -12.\nAnswer: 45576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g + 180. What is a(61)?\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*s + 3 + 10 = 0, 5*s = m + 11. Suppose -3*n = 2*n - t + 5, -5*t - m = 4*n. Sort n, 1, 5.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671438 is divided by 1044.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5211349 is divided by 94?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 6*b**2 + 6*b**2 + 9. List the prime factors of j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2 + 3 + 0. Suppose -o*m + 2 = -m. Let g(q) = -3 - 4 + 2*q - m*q - q. What is g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(76960\/24)\/130?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160434148 a multiple of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 10*i + 2. Let p be x(10). Let v = 1 - 1. What is the closest to 0 in 3, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355669906 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/20 + z**4\/3 - 5*z**3\/6 + 893*z**2. Let r(p) = 2*p**2 - 9*p + 6. Give 7*c(s) + 6*r(s).\nAnswer: -9*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -20*t**2 - 13*t**2 + 22*t**2 - 54*t - 233 + 12*t**2. Let j be x(-4). What is the nearest to -3\/11 in 5, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1165\/154 - 2531489\/616. Let r = -11049 + 6920. Let j = r - o. What is the common denominator of 13\/8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-110))\/((3\/(-5))\/(28\/28))*1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17089, 17074, 17059, 17044?\n\"Answer: -15*g + 17104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17907145831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/36 and -83\/948?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -8, -7 = -g - 0*g + u. What is the common denominator of (-260)\/21 + (-14)\/49 and 20\/(-7)*(-7)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + h - 1)*(-18 + 9 - 10) + (-4 + 1 + 1)*(-5*h + 0*h + 6*h) as p*h + r and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(1\/14))*v**(-2\/19)*v)\/((v**(-2)*v)\/v**(-9\/5)))**(-1) assuming v is positive.\nAnswer: v**(1299\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(56) + (6*(sqrt(56) + sqrt(1400)) - sqrt(56)))\/(4*1*sqrt(8)).\nAnswer: 37*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91778773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*i - 32, -3*i - 16*g + 74 = -12*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v + 144 = 738. Put 5, v, 9, 2 in ascending order.\nAnswer: 2, 5, 9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 2*l + 1346. What is the tens digit of j(98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7729 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3419*p - 5529 - 1018 = 13967 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -251, 4.144?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 v when four letters picked without replacement from kkkvkvvdk?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/16228364 and -99\/16228364.\nAnswer: 16228364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9195651?\nAnswer: 3, 593, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 97818*r + 797363427.\nAnswer: 3*(r + 16303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633669333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 11) to base 15\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -953 - -951. Does 12 divide i - 1 - (-4194)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccvcvccccccvvvv. Give prob of picking 2 v.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12)*8\/(-3). Let i(u) = -5*u + 6 - 17 + 10 + 14. Let a be i(4). Do a and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96247 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 39*s + 48. Let n(o) = -o**2 - 61*o + 73. Let r(x) = -8*i(x) + 5*n(x). What is r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024991 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/(-6))\/(-1)*(-512)\/1344)\/((-2)\/91)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 + -236.9586. Round t to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-11))\/((-6876)\/18909).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598103787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inntmhbb. Give prob of picking 1 b and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) 1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 28*y - 2. Let o(c) = -2*c**2 + 14*c + 1. Let p(u) = -4*o(u) - 2*x(u). Let g(w) = 11*w + 4. Determine g(p(i)).\nAnswer: -22*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 175, 172, 169, 166, 163?\n\"Answer: -3*c + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.032148077779 and -0.2.\nAnswer: -0.232148077779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86066 is divided by 140.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 + 1280*g**2 - 174285*g + 511200 = 0.\nAnswer: -355, 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**41\/(w**(-2\/5)*w**(5\/3)) assuming w is positive.\nAnswer: w**(-691\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 3:38 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 10. Let w be q(-8). Let u(m) = -40*m + 40*m + 2*m**w. Let x(l) = 7*l**2. Calculate x(u(f)).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 111 = 87. Suppose -1214 - 832 = -62*c. Calculate the greatest common divisor of c and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2. Let q(l) = -1286023*l. Determine q(z(y)).\nAnswer: 5144092*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h\/(h**(1\/5)\/h)))\/(h*h**(1\/3)\/h*h))\/((h\/(h*h*h**(1\/5)*h)*h)\/h)**49 assuming h is positive.\nAnswer: h**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108*y**3 + 5*y**2 - 563*y wrt y?\nAnswer: 648*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15369 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 6*c + 9*c + 19*c. Let p(m) = m. What is i(p(o))?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + 5*t**4 - 56*t**3 - 60*t**2.\nAnswer: t**2*(t - 6)*(t + 1)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171800*a**5*b**2*x - 15*a**2*x + 9*a*b**2 + 2*a*b*x - 141*a*b - 4*a*x - 30*b**2*x wrt a?\nAnswer: -3436000*a**3*b**2*x - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j - 3. Let p be o(-2). Let y = p - -50. Which is bigger: 24 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 + 84. Let l = 1079 + -882. Let z = l + y. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*2*0\/(-2). Let x(r) = r**3 + 2*r**2 + 4*r. What is the remainder when x(3) is divided by s + 2 + 21 - 9\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 83 + (-4 - 23)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 74. What is the remainder when 173 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018056583 rounded to 6 decimal places?\nAnswer: -0.001806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 106.4?\nAnswer: -107.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -83f (base 16) to base 15\nAnswer: -95b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**6*c)*c*c**(-6)\/c)\/(c**5\/(c*c**(-3\/2)*c)) assuming c is positive.\nAnswer: c**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 26009?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139790.\nAnswer: 2, 5, 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:14 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3246359813?\nAnswer: 3246359813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2170 = 4*o - 39086. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 58, 90, 144, 226, 342?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39334540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*h = -6 - 24, -c - 5*h = -14. Let d = c + 1. Suppose -23 = -4*q + d*a, 4*q - 4*a = q + 18. Solve q*z + 3 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-10)*(-1)\/(-4))\/(42189\/(-2058)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 30838504 and 30838501 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173830 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s**2 - s - 1. Let w be (-1*1)\/((-7)\/(-7)). Let h be a(w). Let z = -15 - h. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 103053330?\nAnswer: -103053332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3658196 divided by -6.\nAnswer: -1829098\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 14 + (5 - 2) - (13 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.275286 centimeters?\nAnswer: 2752.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 + -316. Suppose -2*o = -3*o - 192. Let l = n - o. Calculate the highest common divisor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**6*g**3 + 16*b**4*g**3 - 4*b**2*g**3 + 18*b*g**3 wrt b.\nAnswer: -720*b**3*g**3 + 384*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 208091250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 3.2. Let x = h - 0. What is the third biggest value in x, 2\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.6516 - -0.2.\nAnswer: 18.8516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62632871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**5 + 5*j**5 - 2*j**5 + (-4*j + 3*j + 3*j)*(-4*j**4 + j**4 + 2*j**4) + 4*j**5 - 3*j**5 + 0*j**5 - 2*j**4 - j**5 + 2*j**4 + 5*j**5 + j**5 - 4*j**5.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 * 0.02\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 1, 0, 1, 4, 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6)*w*w\/(w**(-2\/5)\/w*w))**(4\/5)\/((w\/(((w*w\/(w*w\/w**(-2\/3)))\/w)\/w))**(-1\/24))**(1\/38) assuming w is positive.\nAnswer: w**(140723\/68400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*(-18)\/3276*(-2)\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 5:48 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 14*u**2 + 23*u - 106. Let v be y(-11). Solve 2*r + p + 5 = 0, -v*p - 6 = 5*r - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 5*t**2 - 4*t + 1. Let k be j(-3). Suppose -12 = s + 2*s. Let h = s + k. Solve h = a - f + 3*f - 8, 2*a + 19 = 3*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4 + (1 - 2 + 0)*(2 + 3 - 7) + 3 - 3 + 1)*(0*q**3 - 3*q**3 + 2*q**3).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2638, 2698, 2912, 3280, 3802, 4478, 5308?\n\"Answer: 77*r**2 - 171*r + 2732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -4. What is the smallest common multiple of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 - 1212*s**3 - 122409*s**2 + 1212*s + 122412 = 0?\nAnswer: -202, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*k + 11065 + 4203 = 0 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 168*x + 27469 - 27469)*(0*x + 2*x + 0*x).\nAnswer: 10*x**3 + 336*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*u - u - 24, 4 = -3*u - 4*w. Solve -o = -2*o, a - 2 = u*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 1, l: 1, p: 6, q: 4}. Give prob of picking 1 p and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 949990.5 hours in minutes?\nAnswer: 56999430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 322 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:25 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 4. Let v(f) = -6*f**2 + 15*f**3 - 7*f**3 - 9*f**3 - 2*f - 6. What is the least common multiple of v(g) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 8*q - 14. Let n be s(-11). Let a be 1\/1 - (-93 - (2 - 1)). What is the greatest common factor of n and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -16. Let n = -4 - f. Find j, given that -4*j**3 + n*j**3 - 4*j**2 + 10*j - 2 - 5*j = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p - 27. Suppose -19 = -4*j - 3. Let t be y(j). Let c(d) = 0 + 6*d + 2 - 3*d**2 - t*d + 1. Calculate c(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 251816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 7 + (-32 - (-10 + -10 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -962, -2267, -4218, -6887, -10346?\nAnswer: -14667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + -10.17. Let q = -6 - y. Let r = -4.04 + q. Which is the smallest value? (a) 0.4 (b) r (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8255237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14*57\/12*2.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 54, 85, 122, 165, 214, 269?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46474240 - -18300?\nAnswer: -46455940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**4 + 8\/7*i + 0 + 6*i**3 - 48\/7*i**2.\nAnswer: 2*i*(i + 1)*(7*i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(832) + sqrt(832) + sqrt(832) + -2 + -3 + (4*(1 + sqrt(832)))**2).\nAnswer: -106584 - 2240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 - 643\/3. What is the smallest value in -0.21, a, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 25*t**2 + 49*t + 48. Let g be h(-23). Let m be ((-54)\/g)\/(1 - 100\/112). Sort 1, m, 0.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 7*f**2 - 17*f**2 + 11*f**2. Let s be q(1). Suppose -3270 = -s*b - 5*y, 0*b + 5*y = 2*b - 1620. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23070 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (106 + -36 - 46)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 + k**3\/3 - k**2 - k\/3 + 2\/3.\nAnswer: (k - 1)**2*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/5 (b) -3\/5 (c) -61 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvovyydvkddyvd. Give prob of sequence yoc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 3*z**2 - 4*z - 1. Let f be q(3). Suppose o - f = 20. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15449 - -15460. Let h(p) be the first derivative of -23 + 0*p + 0*p**2 + 25\/3*p**3 - d*p**4. Find the third derivative of h(v) wrt v.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, z: 2, p: 1, e: 2, i: 1}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -242*j**2*n*v - j**2*n - 580*j**2*v - 2*j**2 - 23*j*n*v + 6*j*v + 2*j + n*v + 3*n - v + 73 wrt j?\nAnswer: -484*n*v - 2*n - 1160*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1367292 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 15*s**2 + 7*s + 2. Let x(h) = -4*h**3 + 16*h**2 + 6*h + 1. Let u(m) = -5*o(m) + 4*x(m). Determine u(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014228 rounded to five dps?\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*x - 15 = 0, 4*t - 12 = 3*x - x. Suppose -2*b - 10 = -b. Let j be (b\/t)\/((-4)\/6). Solve -2*h + 3*d = -17, -3*d + 0 = h + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtxxxtxtxx. What is prob of picking 1 t and 2 x?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -421*h**3 + h**2 - 24*h wrt h.\nAnswer: -2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17436 + -348641\/20. Find the common denominator of 117\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 29*x**3\/3 + 38*x**2\/3 - 16*x\/3 = 0.\nAnswer: -8, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 0.2 (c) 0.1 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-102)\/(-306))\/((-11)\/(-3)))\/(3\/(-15)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3\/(-2) - ((-1075)\/(-43) + -24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169791757 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*c**2 + 21*c**2 + 3*c**3 + 2*c**2 - 2*c**2 - 3*c**3 - 1 - c**3 + 1 + (c**2 + 2 - 2)*(-c + 4*c - c) + 5*c**3 + 3*c - 3*c.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -907? (a) -2\/11 (b) 2 (c) 13\/280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 16*p**2 + 6*p + 2. Suppose 0 = 5*v - c + 8, 4*c = -0*v - 5*v - 18. Is 5 a factor of y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 272771016 divided by -6\nAnswer: -45461836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -22*t + 459. Let l(x) = 13*x - 230. Determine 5*l(a) + 3*r(a).\nAnswer: -a + 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -6. Let p be (-570)\/42 - (-3)\/n. Let i = p + 19. Which is greater: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 14*p**2 - p + 32. Let v be r(14). Calculate the common denominator of (-66)\/14 - 4\/((-48)\/v) and -13\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/16 + 3\/8. Solve f = 2*w + 8, -2*c - 4*w + 3 = 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.03. What is the biggest value in g, 2, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 + -2.3. Let r = k - -1.6. What is the closest to -1 in 3, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 65*b**4\/12 + 59*b**2 + 2. Let m(j) = -35*j + 17*j + 17*j. Calculate m(y(n)).\nAnswer: -130*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:10 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*o**2 - m**3*o + 15*m**2*o**3 - 57*m*o**3 - 4*m*o**2 wrt m?\nAnswer: 6*m*o**2 - 6*m*o + 30*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12.83532l?\nAnswer: 12835.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9 - -1) + (-3 - -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -26*(-4 + (-21)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + 76586?\nAnswer: 76668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 6, h: 7}. What is prob of sequence nnu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-31)\/3 + 9)*3\/(-2). Put -5, -29, 1, c in increasing order.\nAnswer: -29, -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 3*r**2 + r**2 + (-3 + 2*r + 3)*(-2*r + 3*r + 0*r) - 591*r**2 - 791*r**2 + 118*r**2 + 0*r**2 - 4*r**2 + 2*r**2 - r**2.\nAnswer: -1263*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 983821 (base 13) to base 4\nAnswer: 31221203233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -126, 0, 1, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((-18)\/(-45)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -404929, -1619727, -3644393, -6478927?\n\"Answer: -404934*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -62*q + q**2 - 67*q + 130*q. Let f be c(0). Is 17 a factor of 0 - -30 - ((2 - f) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130360962 = 130360962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose y*n - 12 = -2*n. Let a(d) = 1. Let l(j) = j - 3. Let o(q) = n*a(q) + l(q). Let k(u) = -2*u**2. Calculate k(o(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2 - 1740768*t - 31334796 = 0.\nAnswer: -18, 580274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1295*x**2 + 2961*x**2 + 3710*x**2)*(-4*x**2 + 0*x**2 + x**2) as k + v*x**4 + b*x**2 + i*x**3 + s*x and give v.\nAnswer: -16128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1223\nAnswer: 2\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 375\/54)*4. Let m = 1613\/72 - k. Find the common denominator of -20*(1 + (-6)\/16) and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:38 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/16 and 49\/312.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-667)\/(-232) + (-2)\/(-16). Solve 0*q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2191\/264 - -3\/88. Determine d, given that -55\/3*d**2 + 5 + 5*d**3 + o*d = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-2\/127)\/((d*d**3)\/d)**46 assuming d is positive.\nAnswer: d**(-17528\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048.4302 rounded to the nearest ten?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*v - 4, -4*d + 8 = -0*v - 4*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y + 2. Let o be k(4). Suppose 0 = -2*b - d + 191, -d = -o*b + d + 182. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5798660 is divided by 5798642.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16286? (a) 5 (b) -1 (c) -1\/5 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122\/3 + -40. Let a = -3225\/4 + 806. What is the closest to a in x, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i**12*i*i)**(-14)*i**(-9)*i**(-9\/4)\/i assuming i is positive.\nAnswer: i**(-1001\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -72 + -2 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-14)*((-6064)\/(-12) - 10). Let p = -106 + g. Put p, 0.1, -0.4, -0.02 in decreasing order.\nAnswer: p, 0.1, -0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, s: 2, c: 5, d: 3, b: 4, f: 1}. What is prob of picking 2 s and 1 f?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -467, 4, -3\/7, -8, 10\/9 in descending order.\nAnswer: 4, 10\/9, 1, -3\/7, -8, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1703 + 1720. Solve -5*a - o = 4*r - r, -3*a + 5*r + 17 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (1 - -1) - 6. Let k(b) = b**2 + 3*b + 7. Does 10 divide k(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {o: 3, h: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + u)*(u - 2*u - u) + 2*u**2 - 2*u**2 - u**2 - 21*u**2 + 26*u**2 - 16*u**2 + (0*u + u**2 + 0*u)*(-2 + 0 + 3) - 2 + 2*u**2 + 2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -1, -5, 69 in increasing order.\nAnswer: -18, -5, -3, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v + 1054. What is the lowest common multiple of s(-46) and 2?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790476 is divided by 131746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.94 in 3, 39, 123, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b - 10. Let o be s(-1). Let y(i) = -i - 20 + 11*i + 0*i - 2*i. Let u be y(o). Solve -q + 5*k = 3*k - 1, 0 = u*q - k + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -543 + 545. Let m = -2 - -3. Let j be 4 + -2*m + -1. Which is the nearest to j? (a) q (b) 2\/7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 154567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from eeeemueumeem.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + s**4 + s - 56*s**2 - 2 - 10*s**4 - s**4 + 7*s**4 to the form f + q*s**2 + u*s + x*s**3 + j*s**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.062 in -0.4, -0.18, 209, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 41 = -3*f - 91, -4 = -f. Is u a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*f = 0, 3*w + 2*f + 3*f = 0. Suppose w = -4*u + 5*l + 45, -u + 6*u - 84 = -3*l. Calculate the highest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099060399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 147. What is the lowest common multiple of b(-19) and 3?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 411530038.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -14 + -6 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 6. Let m(b) = 11*b**2 - 2*b + 1. Let r be 5\/4 + (-4)\/16. Let a be m(r). Let d be o(a). Solve 5*u - 6 = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 5. Suppose -2*f + 12 = -2*a, a + 3*a = 2*f - 20. Let i(l) = 3*l**2 + 6. Let m(y) = a*h(y) + 3*i(y). Is 17 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 8*c - 12 = -2*r, r = c - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b + 3. Let q(o) = -244*o. Calculate q(s(u)).\nAnswer: -4392*u - 732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65\/14 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59.90781+139\nAnswer: 198.90781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -443780 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*p - 4430 + 2140 = 11475 - 1711 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9*1*4\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445499 is divided by 11137.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 692 and 691 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -184, -567 in increasing order.\nAnswer: -567, -184, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -16. Suppose -145 = -5*a - 5*v, 4*v + 64 + 108 = t*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z + 4*z**2 - 66 + 12*z.\nAnswer: 4*z**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131738232 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + -5. Let t = 61 + i. Suppose -9*f = -t*f - 236. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) + 9\/(7722\/(-1183)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -1\/5, 0.4, 4229?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27666 (base 9) to base 2.\nAnswer: 100100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:58 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 12251*d - 10122743. What is j(777)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6*n. Solve n = 5*l - 4*w + 41, 2*l + 3*w = 10 - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -847274381\/2 not equal to -423637190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2752173 + -33?\nAnswer: -2752206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 greater than 286771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (226 - -104)\/((-6)\/(-16)). Let z = m - 878. Find w such that 3\/2*w**z + 9 + 21\/2*w = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.17 (b) -5 (c) 29 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(136) + 1*sqrt(136) + sqrt(136))\/sqrt(8))**2) + sqrt(34)\/sqrt(18).\nAnswer: -153 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2\/15, 2\/11, -5\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {b: 2, w: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 131491, 263547, 395603, 527659?\n\"Answer: 132056*i - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 166?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 10*v**2 - 13*v + 9. Let w be t(6). What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 33*c**3 + 1 + 6.\nAnswer: 33*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28476 + -13602. Which is greater: 1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (75\/9 + -4)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20617 divided by -3432?\nAnswer: -20617\/3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610529242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - (-4)\/(8\/6). Let t = 1 + n. Let g = t + 19. Solve -6 = 2*p + 4*b - g, -b + 17 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z**3 + z**2 - z. Let l be d(1). Suppose 0 = 3*w - 7*w + 4, -4*i - l = -4*w. Let b be (-57)\/9 - i\/12. Let t(y) = y + 8. Determine t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12 + -3*(-271)\/48 and 31\/1126?\nAnswer: 9008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 3*z)*(-4 + 4 - 4 - 2 + 1 - 1 + (-2 + 3 - 4)*(-6 + 3 + 2)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 2*d**2 - 2*d**2 + (d - d + d**2)*(9 - 9 + 8*d**3) - d**2 - 4*d**5 + d**2 + (-2*d + 2*d - 2*d**3)*(0*d**2 - 2*d**2 + 0*d**2).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 - n**3 - n**2 + 9*n + 3*n + 11. Let d(x) = 4*x**2 - 2*x - 1. What is the remainder when f(-8) is divided by d(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75a529 (base 13) in base 7?\nAnswer: -32333240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnncnbncbbbnnm. Give prob of sequence bmbn.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(2 - 7))\/(1 - 2). Suppose 0 = 5*p - v*w + 7 - 42, -p = -w - 10. Put 0, -4, -2, p in ascending order.\nAnswer: -4, -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1325*n**2 + 8*n - 25. Let z(c) = -5*c**2 + c - 5. Determine x(t) - 5*z(t).\nAnswer: -1300*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335 + (63\/(-13) - ((-12)\/(-26))\/3) is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/4 - 1317480*s**3 + 578587151754*s**2 - 2314332797280*s + 2314327527372.\nAnswer: 3*(s - 878318)**2*(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36575 from -4.\nAnswer: -36579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 703428 and -0.294?\nAnswer: -206807.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1745 (base 8) to base 11.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 77472.39km?\nAnswer: 77472390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 295. What are the prime factors of y?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084482 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36207996 divided by -2508.\nAnswer: -14437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200 + 202. Let w(k) be the second derivative of 3\/20*k**5 + 2\/5*k**4 + 0 + 2\/5*k**3 + 1\/50*k**6 - 6*k + 0*k**x. Find f, given that w(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 51, 90, 145, 222?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 9*l + 6. Let m be (0 + -2)*(-5)\/1. Let z be u(m). Let v = -10 + z. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008413 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {c: 1, t: 1, s: 1, q: 1, l: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/16)\/((-4480)\/800*(-10)\/32)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.96 - -0.64. Let k = i - 3.6. Let o = k + -2. Sort 0, -2, o in descending order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210110110 - -1220212020?\nAnswer: 2201022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4 (c) -827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 5\/6 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27643516 times 20?\nAnswer: 552870320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -440, -590, -832, -1160, -1568, -2050, -2600?\n\"Answer: b**3 - 52*b**2 - b - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 57 = -63. Solve 2*a = d*b + 2 - 10, a + 2*b = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Let d(v) = 4443*v**2. Calculate z(d(y)).\nAnswer: -13329*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29918608.58 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {z: 2, o: 1, s: 1, n: 3, y: 3, v: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1824*m**4 + 6*m**3 - 250*m**2 + 49*m + 1.\nAnswer: -43776*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let d(s) = s - 6. Let o(y) = 2*y - 11. Let z(m) = -11*d(m) + 6*o(m). What is -2*t(n) - z(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/5 + 1256*c\/5 = 0?\nAnswer: 0, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1384478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooocooooocc?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398290 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:47 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18484 + -18488. Sort j, -5, 2, -3, 16\/9 in decreasing order.\nAnswer: 2, 16\/9, -3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38\/11 - -288\/77. Let n be 0\/((-10)\/14 - (-8)\/(-28)). Are d and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 6*g - 2. Let k be t(-5). Suppose -k*r = 2 + 1. Suppose 401*b - 403*b + 6 = 0. Sort b, r, 4 in increasing order.\nAnswer: r, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*c**5 + 64*c**4 + 9348*c - 8?\nAnswer: -1100*c**3 + 768*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*-14*(-75)\/(-350).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(270\/14175).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*f**2 + 6)*(-4 + 1 + 0) - f**2 + f**2 - 6*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**8\/336 - j**5\/30 + j**2 - 2*j. Let m(v) be the first derivative of f(v). What is the third derivative of m(s) wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*x - 54 = 0, 3*s + 3*x + 19 + 11 = 0. Let r = -10 - s. Solve -4*y + 1 = -3*g - 8, -r*y - 9 = 3*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = 47*y - 26. Find the first derivative of 53*u**y + 39 - 102 - 55*u**2 - 97*u wrt u.\nAnswer: -4*u - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggyggygg. Give prob of picking 1 y and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3656160 divided by 9.\nAnswer: 406240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -319, 6550?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/45479796 and -39\/124.\nAnswer: 1409873676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 8. Let m be x(-6). Suppose 0 = m*w - 8*w + 16. Let r be -2*-1*(-2)\/(w\/54). Calculate the highest common factor of r and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1093.85 - -1094. Let c = 0.25 + -0.3. Let d = c + g. Is 12 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(135)*1 + sqrt(135))\/((-4*sqrt(3000))\/sqrt(10)).\nAnswer: 3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/35 + (-52)\/728)\/((-12)\/(-130))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*y + 4\/5 + 1\/5*y**3 - 1\/5*y**2.\nAnswer: (y - 2)*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397128800 divided by -264400\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12019216 and 47949.\nAnswer: 36057648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 + 25 = 0. Let c = 137 - 88. Calculate the remainder when c is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -102*l + 43 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9056600 to the nearest 100000.\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 197247157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3611 and 29842973?\nAnswer: 29839362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1465.5 - -1466. Sort -1, j, 4, -4\/155 in decreasing order.\nAnswer: 4, j, -4\/155, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x. Let o(b) = 3*b. Let h(r) = 3*o(r) - 2*z(r). Let m(q) = 8*q. Determine m(h(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2059, 3.08, -2\/143.\nAnswer: -0.2059, -2\/143, 3.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 117196\nAnswer: -1\/58598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-11 + 6 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 - (4 - (-15)\/(-6)). Sort 2\/9, 2\/11, b, -3.\nAnswer: -3, b, 2\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3173a0087 + -2?\nAnswer: -3173a0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1981, 6431, 10883, 15337, 19793?\nAnswer: 24251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-4))\/(2\/4). Let g(d) = -d**3 + 8*d**2 + 7*d - 6. Let c be g(o). What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 6*d. Which is the nearest to d? (a) 0.05 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70836.83434 less than -5?\nAnswer: -70841.83434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -23.3308.\nAnswer: -6.99924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l**4\/4 - 9*l - 96. Let d(u) = -43*u. Calculate h(d(i)).\nAnswer: -27735*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-10))\/(-1))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 302*i + 386. Calculate s(-59).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*l - 17. Let w be 44\/132 - (8\/l + 0). Solve -3*b - 9 = 0, -4*t + w*b - 11 = -8*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - (-119)\/(-14728))\/(8\/48) and -3\/14.\nAnswer: 7364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266 (base 7) to base 14\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 214416.55625 + -3?\nAnswer: 214413.55625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067.214 nanometers in centimeters?\nAnswer: 0.0005067214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 832.09, 9, -481.\nAnswer: -481, 9, 832.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -13 - (-4 - -3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1\/2)*r))**(1\/3))**(1\/31)\/((r*r**(1\/4)*r*r*r*r)**(2\/29))**(-16) assuming r is positive.\nAnswer: r**(31219\/5394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 12:01 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43672 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o + 8. Let m(w) = -w**2 + 3*w - 2. Let h be m(o). Let l = 13 - 8. Solve -l*t + 5*u = -0 - 10, -t + 3*u = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 721, 762, 803, 844, 885?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 0*k + 15 = -6*k, 2*u + u - 3*u - 11*k = 23*k + 34 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.9, 1\/4, 2, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = -3*a, -a - 4*a - 7 = 4*z. List the prime factors of a\/(-6)*-10*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l - 7. Let b(n) = -4*n + 5. Let m(d) = -7*b(d) - 5*w(d). Suppose -2 - 4 = -3*h. Let y(p) = 4*p - h*p - p. Determine y(m(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97661 is divided by 769.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n - 66*n + 37*n - 12*n - n - 2*n + (-1 + 5 - 3)*(3*n + 0*n - 2*n) - 3 + 3 + n)*(2 + 2*n**2 - 2).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) - sqrt(75)*3) - sqrt(75)) + 0 + 0.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477*r - 117 = -1745*r - 1745*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -15, 3, 2, -227, 5, -12 in descending order.\nAnswer: 30, 5, 3, 2, -12, -15, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9477 rounded to one decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(475)*1 + -4)*2.\nAnswer: -48 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0976 not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 + 116 - (1 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*u**2 + 0*u - 59*u**2 - 5*u**4 + 2*u as g*u**4 + x*u**3 + l + d*u + w*u**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*b = x + 15, -4*x - 4*b + 28 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15)*-1)\/(8\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 25, 2*h + 5 + 0 = 3*m. Suppose h*y - n - 293 = 0, y - 5*n = -7 + 56. Calculate the remainder when 290 is divided by y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (0 + (5 - 15)) - 27\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/3 + 256*l\/3 - 560 = 0. What is l?\nAnswer: -70, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1976714 to 4 dps.\nAnswer: 0.1977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r + 4*r = -10. Solve -5*a + 6*a - r = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 549516 by 183172.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 28117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 240 and 1.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -4*b. Suppose -r = b*m - 9, 2*m - r = -0*m + 3. Find the second derivative of -281*j**4 + 6*j + j**3 + 293*j**4 - j**m wrt j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b**2. Let y(f) = 12*f**2 - 7. Give y(m(x)).\nAnswer: 2700*x**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}