diff --git "a/data/dm_maths/full_data_1/10939_11255.jsonl" "b/data/dm_maths/full_data_1/10939_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10939_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Total of -16078507 and 7165.\nAnswer: -16071342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9859 rounded to the nearest one hundred?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, -4*i + 3*i = -2*d + 9. Suppose -d*s + 2*q = -s - 369, -3*s + 219 = -2*q. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-637)*903\/(-774)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3 - 996*b**2 = 0. What is b?\nAnswer: 0, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 25*m + 203 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -4. Let m(l) be the second derivative of 0*l**4 + 1\/20*l**t + 0*l**2 + l - 1\/6*l**3 + 0. What is the second derivative of m(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/((-4)\/6)*274. Suppose 0 = -3*h + 6, 5*h = -4*g + 4*h + t. Let f = g - 28. What is the remainder when 238 is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 57*k = 13*k - 216. Which is the closest to 3? (a) 0.2 (b) k (c) 2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (2 + -1 - 1) - -7) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 22. Calculate the lowest common multiple of 14 and (-14 + 9)*16\/r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wexlpcw. What is prob of sequence lc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from mmmttdme.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 - -0.2. Let j be 1 + -2 + (-174)\/(-170). Let o = 3\/17 + j. Which is the biggest value? (a) s (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1992)\/240 + 16 + 0\/2 + -8?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672*o - 3369*o + 1698*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29053.53 to the nearest 100.\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2659*i**3 - 8*i**2 - 6*i - 2054. Let j(b) = -b**2 - b + 10. Let u(w) = -h(w) + 6*j(w). Differentiate u(q) wrt q.\nAnswer: -7977*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Suppose 6*n - 32 = 4. Factor 2*a**3 + n*a + 3 + 1 - 4*a**u + 0*a**3.\nAnswer: -2*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**5 + 9*m**4 - 6*m**3 - 12*m**2 + 3*m - 3. Let g(z) = -3*z**5 + 9*z**4 - 6*z**3 - 11*z**2 + 4*z - 3. Let x(b) = 6*g(b) - 5*l(b). Factor x(i).\nAnswer: -3*(i - 1)**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6. Let u = -157661433\/1398613579 + -21\/3436397. Let g = -2\/407 + u. Which is the smallest value? (a) -2 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = n - 3*z + 138, -4*n - 566 = z. Let i = -91 - n. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {w: 5, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1561*g - 4*x + 156 = 1565*g, g + 2*x - 42 = 0. Calculate the smallest common multiple of g and 714.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o + 12 = 29*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a + 27*a - 6*a)*(0 + 0 + 1).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/(4*8\/(-10)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2. Let j(h) = 3*h. What is q(j(t))?\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 611804 divided by 7114\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234104059 to the nearest integer?\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + d. Suppose 3*u - 18 + 6 = 0, 4*u = j. Suppose j*q - 43 + 11 = 0. Let h(n) = 10*n**2 + 5*n. Give q*h(f) - 10*g(f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138385.\nAnswer: 5, 13, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96753 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301.134 * 47.\nAnswer: -14153.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.901 + -0.9. Let k = b - 0.0009535. Round k to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -517 + 729. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:11 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*337696\nAnswer: 2701.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -58, -86, -112?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -292*v**2 + 911*v**2 - 292*v**2 - 11*v - 303*v**2. Let t(j) = 5*j**2 - 2*j. What is 11*t(n) - 2*u(n)?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 17. Suppose 4*j = l - 11, -2*j + 59 = q*l - 3*j. Let f = -126 - -129. Solve -f*d - 2*d = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**3 + 4*s**2 - 32*s + 11. Let h(q) = -5*q**3 + 2*q**2 - 17*q + 6. Determine -11*h(m) + 6*z(m).\nAnswer: m**3 + 2*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.9. Let j = 0.300075 + o. What is j rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.17. Let q = -0.13 + 8.13. Let t = q - 8.2. Which is the third biggest value? (a) v (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27 and 0.25?\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-3)\/(-3) - (-4 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/12 + 5*h**3\/6 - h. Let r be x(5). What is the closest to 2 in r, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1339446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 9040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i + i - 15*i + 0 + 2. Let a be z(-1). Suppose a*u - 48 = 3*u. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 m when three letters picked without replacement from mzjmpdb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7770 - -8970. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 438 + -2?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -353*q**5\/20 + q**4\/12 + 583*q**3\/3 + q**2\/2 + 153*q. What is the second derivative of u(z) wrt z?\nAnswer: -2118*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 4*n + 375 + 424 - 1360 + 433.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 6194854.\nAnswer: -6194853.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 101 + n - 38 - 58. Suppose 0*f - 2*f + 3*r + 9 = 0, 15 = -3*r. Calculate u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -12)\/(((-15)\/(-1246))\/(-5)). Let p = y - -3688\/3. Let k = p + 17. Is -9\/4 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1236*b**4 - 109*b**2 + 6*b?\nAnswer: -29664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - (240 - 17))*(-5)\/(-20))\/((-40)\/(-32)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62.9 - -63.9. Is g at least as big as 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -64*u**7\/5 + 913*u**3\/2 + 104*u**2 + 4. Differentiate m(v) with respect to v.\nAnswer: -10752*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/6 + 5\/15. Let v be (g\/((-6)\/(-10)))\/(-1). Is (-1)\/((15\/(-78))\/v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -776 - -1964. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105344707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*y = -631, -2*z - 144 = -3*z - 4*y. What are the prime factors of 1*(-15)\/3*z\/(-10)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133621\/14 + 9343. Let l = g + -11135\/14. Let k = l + 1005. Calculate the common denominator of -59\/5 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwnnwnwwwnnwnwwnn. What is prob of sequence nwwn?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 193430*h**2 + 4061188*h - 3867760 = 0.\nAnswer: 1, 20, 96694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -47522629 times -2?\nAnswer: 95045258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 43*d**2. Let i(v) = 52833*v. Calculate x(i(b)).\nAnswer: 120027013227*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 7*l**2 + 6*l - 5. Suppose 3*x + r + 3 = 0, r + 12 = -3*r. Let n(f) = -f**3 - f**2 + f - 5. Let p be n(x). What are the prime factors of v(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9785 + 9804. Solve h*b + 39 + 75 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(2 - 1 - 2)*(3*v - 2*v + 0*v) in the form k + p*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288682, 577374, 866066, 1154758, 1443450, 1732142?\nAnswer: 2020834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -139*i**5\/5 - 7*i**4\/4 + i**2\/2 - 1439*i - 2217. Differentiate m(w) with respect to w.\nAnswer: -556*w**3 - 21*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13523 (base 7) in base 8?\nAnswer: -7154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18450 = 251*x + 84*x + 280*x for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13792.3228 to the nearest 10.\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 + 11*d + 0*d - 10*d + 4*d wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:55 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (0 - (-2 - -4)). Let b(n) = 5*n - 16. What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*v*z + 295091*f*v + 817*v*z - 18*z wrt z.\nAnswer: -2*f*v + 817*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205, 405, 605, 805?\n\"Answer: 200*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 1, q: 2, m: 2}. What is prob of sequence qaq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(4\/7)\/t)\/t*t*t\/(t\/(t*t\/(t\/(t*t**(1\/4)))))*t**0*t\/(t*t\/(t\/(t*t\/(t*t**1)))))\/(t**4*t**4*(t*t*t*t**(2\/7)\/t)**44) assuming t is positive.\nAnswer: t**(-419\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9472 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(7) + -3) + 2*(sqrt(35)\/(sqrt(10)\/sqrt(2)) + sqrt(7)).\nAnswer: 18 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -23?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-4) - -4) + -38. Which is the smallest value? (a) n (b) -1 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1227, -2849, -5615, -9525, -14579?\n\"Answer: -572*s**2 + 94*s - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*t - 18 = 110*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53513 and 6431.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 2*v - 1, -11 = 3*v + 4*w. Let k(q) = -4*q. Let a(j) = -2*j. Let u be (-1)\/(2 - 36\/20). Let f(l) = u*a(l) + 3*k(l). Determine f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-12))\/2 + (-17)\/(-3). Let g(j) = -j**3 + j**2 + j. Let f be g(-1). What is the greatest common divisor of u and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722600 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(15)*3 - sqrt(15))\/(2*sqrt(108)).\nAnswer: -13*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - y + y + 161084 - 164168 to the form l*y**2 + p + t*y and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 2*i - 6. Let b = 104 - 108. Calculate d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*o - 25. Let u be (-2 + -4)\/(o\/(-6)). Solve -5*s + w = -w - 8, -5*s + w + u = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = -t, -3*t + 58 = t - 2*a. Suppose 13*j + t = 15*j. Let u be 1 + -2 - -3*3. Are u and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933\/(3 + 0) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 23958442, 5 in descending order.\nAnswer: 23958442, 5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13668*d + 423412. Determine r(-31).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409842677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5667067 is divided by 314?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -701*j*k + 15146*j - 3*k**4 - 3*k**3 wrt k?\nAnswer: -701*j - 12*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 109?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j, -q = 10*q + 3*j - 41. Solve 0 = -4*t + 2*k - 18, q*k = -5*t - 19 - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, 6 in decreasing order.\nAnswer: 6, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17597601 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -43*u**4\/4 + 27*u - 16. Differentiate z(s) with respect to s.\nAnswer: -129*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 1, w: 3, k: 5, y: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsq when three letters picked without replacement from llqslhhlqsssllll.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + m - 25 = 0, g - 10 = -0*g + 2*m. Let a(i) = -7*i**2 + 1 + 4 + 3*i - 3 + g*i. Let v(y) = 4*y**2 - 8*y - 1. What is 6*a(c) + 11*v(c)?\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**14 assuming m is positive.\nAnswer: m**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40348 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.8 + -57.8. Let o = t - -39.9. Which is the second smallest value? (a) o (b) 4\/7 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*l - 47. Let b(n) = 16*n**2 - n + 4. Let f be b(l). Suppose -4*m + 298 = f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11520.00015 + 11521. Let d = 1 - i. Round d to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 1076304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175068710 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {g: 11, p: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u - 6. Let g be j(-5). Suppose -67 = -7*s - 4. Solve -g*a + s*a = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41868?\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 (base 11) in base 16?\nAnswer: 1f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 + 2*o**2)*(o**2 + 0*o**2 - 3*o**2) + (-13 + 49 + 3)*(4 - o**4 - 4).\nAnswer: -41*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = -2. Suppose 3*o = -3*x - 6, x - 2*x + o = -8. Let f = x - z. Solve -2*p - 10 = -f*c, -c + 1 - 6 = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*x = -1320000. Round x to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3382 - 13810 = -79*q. What is the highest common divisor of 2772 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0 + 4*j**2 + 1\/24*j**4 + 0*j**3 + 0*j. Let q(n) = -11*n. Let u(l) = 5*l. Let p(k) = 6*q(k) + 13*u(k). Determine p(i(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(80) + sqrt(80) + sqrt(80) + -3 + sqrt(80)*-2 + sqrt(80) - (sqrt(80) + 5 + -1*sqrt(80) + sqrt(80)))**2.\nAnswer: -320*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let z = -22433\/8 - -2799. What is the common denominator of (w\/(-36))\/(2\/(-148)) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98451180 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*v + 3753 + 9525 = 1854. Which is smaller: v or -91?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 75*w + 85. Let t(p) = 113*p + 127. Let j(u) = -8*b(u) + 5*t(u). Let q(f) = f. Let k(z) = j(z) - 3*q(z). Differentiate k(o) wrt o.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 63 - -10 - -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.0141 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from wjkwjwwkw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + 2*t)*(12591*t + 119*t**2 + 32*t**2 - 12586*t).\nAnswer: -151*t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10149*o + 10044*o + 1575 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -74.213813 and 0.54.\nAnswer: -73.673813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20486, 324, 6, -1 in increasing order.\nAnswer: -20486, -1, 6, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 5153. Let s(p) = -4*p + 5167. Determine -3*f(r) - 2*s(r).\nAnswer: 2*r + 5125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/135 - 11*n**4\/27 - 32*n**3\/9 - 207*n**2. Determine d so that y(d) = 0.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n**2 - 2*n + 6. Let d be q(4). Let j be (d + 4)*14\/4. Solve -2*h + 12 = -5*h, 0 = 5*v - 3*h - j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -126, -248, -402, -582, -782, -996, -1218?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 4*i + 162. Let q be s(0). Let x = 310 - q. Calculate the remainder when x is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 16*k**5 + 186688*k**4 - 8814588*k**3 - 57506660*k**2 - 110594900*k - 62089500 = 0.\nAnswer: -11715, -5\/2, -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 30*t - 4. Let u be j(6). Let a = u - 35. What is the remainder when -93*-3*(a\/(-27))\/1 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36203 and -4.2.\nAnswer: -152052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5866 + -5401.3. Round y to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -856.6?\nAnswer: 13705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2. Let v(k) be the second derivative of k**4\/4 - 2*k. Determine n(v(g)).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-175)\/1750*(22\/(-6) - -2). Which is the second biggest value? (a) -1 (b) -0.2 (c) n (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -215769.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 12435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/4 + 211*l**2\/4 - 1239*l\/4 + 1845\/4 = 0.\nAnswer: 3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - -16) - (0 - (-1 + -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.4, 21, -26.\nAnswer: -41, -26, 0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34716 and 4208.\nAnswer: 138864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or 0.08407?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1056 + 4116?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-8)\/20)\/((-43)\/1720)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -19.7.\nAnswer: 157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 259*i**4 - 238*i + 238*i + (i**4 - 6*i**4 + 3*i**4)*(-2 - 2 + 3) - 10*i**4 + 3*i**4 - i**4.\nAnswer: 253*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2845325 and 375235.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6005.0008 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 510543, -8, -5.\nAnswer: -8, -5, 510543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhglhlhhhlhhhhg. Give prob of sequence llg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 15 + 39 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**3 - 15*m**2 - 4*m. Let o(k) = -3*k**3 + 7*k**2 + 2*k. Give 9*o(t) + 4*v(t).\nAnswer: t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.34 + 29.34. What is the closest to 1 in -0.5, d, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c\/c**(4\/7))\/c*c)))\/(c*c**15)*(c\/(c*c*c\/c**(1\/5)*c*c))**(-3\/7))**(3\/35) assuming c is positive.\nAnswer: c**(-1464\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2378)\/(-232)*-10)\/(((-180)\/(-16))\/(-9))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**3 - 21*s**3 + 9*s**3)*(-54 + 54 + 9*s).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269045, 269064, 269083, 269102, 269121?\nAnswer: 269140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -5. Factor -3*y + 4 + p + 4*y**2 - 5*y - 3.\nAnswer: 4*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058973 to four dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.023 and -229.8600966247.\nAnswer: -229.8830966247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/5 (b) -0.8 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = t + 86. Let a be (-2 - 100\/t) + 798\/54. Solve -a = -w - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**2 - 4*y + 2. Let f be b(2). Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 275184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-60) - (-4)\/15)*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 43. Let x be q(10). Let k(j) = 10*j**3 + 10*j**2 - 2*j - x*j**2 - 9*j**3 + 3*j. Calculate k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7724.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1053.7654 + 0.2346. Let c = -1002.3 + r. What is c rounded to zero dps?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517*p - 440 = -1539*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-3))\/(-4))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9258*i + 3072*i + 3119*i + 3070*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-24)\/(-9))\/(10\/39) and (-14)\/(-21) - 44\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156898 is divided by 79885.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -38185 not equal to -38195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = 5*m - 763, -4 = 2*p - 2*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {d: 1, k: 5, m: 1, c: 2, x: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 160318319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096792?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -34.1. Let g = -12 + y. Let r = -74\/3 - -25. What is the nearest to g in 1, -0.06, r?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/17, -3, -4, 0.13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24851 (base 9) to base 16.\nAnswer: 415c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118, 117, 116, 115?\n\"Answer: -s + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 6, p: 13}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.8 (b) 32 (c) 2\/19 (d) 0.03 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 z when four letters picked without replacement from {z: 6, n: 3, j: 4}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.5 (b) 0.1 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 25*v**2. Let p(a) be the second derivative of 2*a**3 + 664*a. What is k(p(z))?\nAnswer: 3600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 + 6*r. Let c be k(-5). Suppose -3*n + 5*d - 2*d + 75 = 0, 5*d - c = -5*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/4, -5, 6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3412*t**6 - 3*t**2 - 585 wrt t.\nAnswer: -409440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 14*z + y - 104, -12*y - 42 = 3*z - 15*y for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22244730260 rounded to the nearest one million?\nAnswer: -22245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-663*u**2 - 3*u**3 + 663*u**2)*(-2 + 4 - 3 - 29*u).\nAnswer: 87*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4091313, -81.\nAnswer: -4091313, -81, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/2 - 847*p\/3 + 565\/6 = 0.\nAnswer: -565, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 2*o + 2. Let j be r(4). Suppose j = 2*h + 3*h. Differentiate h*m - 3*m + 3 + 0*m wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n - 292 = 92*n. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjg when three letters picked without replacement from {j: 11, g: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2094292324 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.357 in -1, 2\/15, -8\/11, -2, 2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13660074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Suppose 0 = -4*u + 5*j + 40, -j + 50 = x*u + 3*j. Suppose 0*m = 5*c - 2*m - 349, u = -5*m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643787626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, a: 1, r: 14}. What is prob of sequence bba?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:29 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12004, 12047, 12090, 12133, 12176?\n\"Answer: 43*o + 11961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0858 + 0.1858. Let g = 9 - 4. Let v(f) = f**2 - 6*f + 4. Let h be v(g). What is the nearest to h in w, 2, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - (-12 - 48)) + -1 + 13 + -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 264043*s - 392470 with respect to s.\nAnswer: 264043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**3 + 5*r**2 + 5*r + 63. Let z(a) = -8*a**3 + 4*a**2 + 4*a + 61. Calculate 4*m(g) - 5*z(g).\nAnswer: 4*g**3 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let n be 21\/(-12) - (-1)\/h. Is -2 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 7 - 9)*(0*o + o + 13*o)*(1 - 4 + 2).\nAnswer: -182*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9719048?\nAnswer: 2, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = 2*l, w = 4*l - l - 10. Sort l, -4, -5.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -829*k**3*x**2 + 42973*k**3*x - k**2*x - 2*k*x**2 - 8*k*x - 18933*x**2 wrt k?\nAnswer: -4974*x**2 + 257838*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*b + 27*b - 194 = -2310. Calculate the remainder when 549 is divided by b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**2 - 7 + 8 - 12*r**2 - 1.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -0.01. Suppose 2*z + 124 - 151 = -u, -4*z = -u - 27. Are u and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (11 - (20 + -11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 13*w + 5. Let o(n) = -n**2 + 3*n + 1. Let m be (-71)\/(-4) - 33\/(-132). Give m*o(h) - 4*p(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 101562 and -0.1?\nAnswer: 101562.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -73*x - 3. Let y(n) = n**2 + 20*n - 4. Let v(a) = 2*a**2 + 45*a - 9. Let i(h) = 4*v(h) - 9*y(h). What is z(i(l))?\nAnswer: 73*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 - -6?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*i + 4 - 12 = 0, -4*i - 11 = 15*u. Which is smaller: 1\/20157 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170b63 (base 15) to base 12\nAnswer: 45a026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13122 = 3*q, -p - q = -0*q - 4368. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(60)\/sqrt(5) - sqrt(3)) + sqrt(36)\/(sqrt(36)\/sqrt(3)) + 4)**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 7757 + 3*m**3 + 7822 - 15579.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.667 - 0.033. Let d = -3.8 - t. Let l = d + 1.3. Which is the closest to -1\/4? (a) -2 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2216 and 465824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 500 = 2*q. Let z be 630\/q*(-10)\/3. Suppose 0 = z*p - 48*p + 24. Put -4, p, 2 in descending order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, 7 in increasing order.\nAnswer: -5, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjzr when four letters picked without replacement from hmdrrjmhz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**3 + 5*b**3 - b**3 + (b - b - 2*b**2)*(2*b + 0*b + 0*b) + 2*b - 2*b**3 - 2*b - 3 + b**3 + 3 - 2137 + 86*b**3 + 2137.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 3, s: 3, o: 3, v: 2}. What is prob of sequence sv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 - 151. What is the second derivative of 6*d**5 - 6*d + 19*d**5 + j*d wrt d?\nAnswer: 500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6072, 12193, 18316, 24441, 30568, 36697?\n\"Answer: f**2 + 6118*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 16) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 7:37 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4075.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47950 divided by 1370.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 26*g**5\/5 - g**4\/6 - 15*g**3\/2 - 27*g**2. What is the second derivative of l(p) wrt p?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 778\/429 - -14\/429. Let y be 1\/5 + 1019744\/(-42720). Let i = -1\/267 - y. What is the common denominator of i and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 + y + 4. Let f be g(-7). Let p be (-2)\/(-6)*-10*f. What is the units digit of p\/(-4)*24\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Let v = -65 + 67. Let t(g) = -106*g**v + 56*g**2 + 55*g**2. Calculate f(t(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 197, 377, 601, 863, 1157, 1477, 1817?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -50184?\nAnswer: 50182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 11*n**4\/2 - 77*n**3\/3 + n - 10. What is the third derivative of s(c) wrt c?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**16*((s**15\/s)\/s)\/s)\/(s**(-6))**(2\/5) assuming s is positive.\nAnswer: s**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (123\/5 - (-9)\/(-15)). Let p(a) = a**2 + 5*a - 1. Let q be p(-6). Suppose 5*v + 4*k = 26 - 4, 5*k = -q*v + b. Put -1, v, -3 in ascending order.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 42. Suppose -3*l = -9, 4*l - l - a = -3*b. Determine y, given that -2\/7 + b*y**3 - 2\/7*y + 6\/7*y**5 + 12\/7*y**2 + 22\/7*y**4 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c - 97. Let t = c - -108. Solve 3*m + t = -4*u + 2*u, -2*m - 1 = u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 2738180.\nAnswer: -3\/684545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-2 + sqrt(114))*4 - 3*(sqrt(114)*-2 - sqrt(114)))*2)\/(-2*sqrt(600)*-3 - (sqrt(600) + 2*sqrt(600))*-6).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Suppose -5*r = -v + 4*v - 3, 5*r + s*v = 5. Solve r = -2*j - 5*h - 5, 4*h - 5*h - 19 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324c88 (base 14) to base 4\nAnswer: 12133331020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.79 - -0.01. Let v = 3.8 - t. Let s = 7.1 + -7.3. Which is the nearest to s? (a) -0.5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 1. Let h be k(-1). Suppose -b = -h + 1. Suppose 0 = -3*c + 6 + b. Solve -c*r = -2*j - 10, r + j - 2*j = 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50905818 to the nearest integer?\nAnswer: 7135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 i, and 1 f when four letters picked without replacement from jiilijiipiiljaifiif.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60.3, -0.1, 2\/7 in increasing order.\nAnswer: -0.1, 2\/7, 60.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*n - 37 + 25, -2*n - 5*a + 15 = 0. Solve n = -l + 4*o - 16, -3*l + 2*o - 13 = -3*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -1\/4 (b) 4\/3 (c) 2 (d) -22 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/81)\/(((-21)\/28)\/(99\/(-44))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 7*j**2 - 128*j + 2. Determine s(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s**2 - 11*s - 8. Let c(z) = -7*z**2 + 4*z + 3. Suppose -3*v - 6*v + 1396 - 1432 = 0. What is v*n(p) - 11*c(p)?\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 26 - 11)*(-q + q + 2*q)*(0 - 10 + 6).\nAnswer: -232*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59066382706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14)\/21)\/(2\/(-2955)) - -5?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10148\/5 <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33661 or -33654?\nAnswer: -33661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 37. Let a(x) = -5*x + 187. Give 2*a(t) - 11*p(t).\nAnswer: t - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 198*g - 209*g + 55. Let l(a) = 5*a**3 - 2*a**2 + 43*a - 5. Let n(v) = -3*v**3 + v**2 - 28*v + 3. Let t(y) = g*l(y) + 8*n(y). Determine t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*f + 15*f + 21904 - 3508 = 65*f for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 3 = -5*s. Let l = 54 + s. What is the highest common factor of 144 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 - 120\/(-35). Suppose 6*t = 3*t + m. Let g(i) = 6*i**2 + i. Give g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/13, -106\/7, 2?\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 21 = 1351*f - 177*f - 22 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and -106 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-2\/5)\/r)\/r)\/r)**(1\/17)*((r*r**(1\/4))\/r)**42)**(-31\/5) assuming r is positive.\nAnswer: r**(-3193\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 26*b - 75 + 75.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (13\/1)\/(13\/39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, b: 2, r: 2, k: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -7. Let k be (-1)\/(3 - (-42)\/(-15)). What is the smallest value in 3\/4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.7 + -7.3. Let o = 46.00000042 + c. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 126002 = -34*c + 7502. Is c a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -49*s + 21 - 19*s**2 + 0*s**3 + s**3 + 66*s. Let x be y(18). Suppose 383 = 5*l + a - 117, l = x*a + 84. What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -904.08 and 1113.975.\nAnswer: 209.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-20)*y))\/y**(-1\/10))\/(y**(-29)*y*y**(4\/15)) assuming y is positive.\nAnswer: y**(281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 546523180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 + k**2 + 0*k**2 + 0*k**2 + k**2 + (0*k + 2*k - 4*k)*(4*k - 2*k - 4*k) + 1 + k**2 - 1.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwwvwvwwwvv. What is prob of sequence vvvw?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 1 + 1)*(-5 + 0 + 2) + (-2 - 5 + 1)*((34*i + 36*i - 95*i)*(-1 + 0 + 3) + 2*i + 2*i + i) as k*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 6*r + 2. Let s(j) = 6*j**2 + 19*j - 7. Let u(p) = -3*s(p) - 8*z(p). Factor u(l).\nAnswer: -(l + 5)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let i = -11 + 19. Let f(j) = -j**2 + 7*j + 9. Let v be f(i). Which is the nearest to v? (a) p (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159.631 - 160. Let k = -0.114 + u. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97401 is divided by 97383.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by 15?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (-27)\/45*5. Suppose 3*b = -5*r + 380, -5*b - 13*r + 604 = -a*r. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1108.3291.\nAnswer: 5541.6455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:58 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 360246401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25757, 103099, 232009, 412493, 644557, 928207?\nAnswer: 1263449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 - d**4\/2 + 2*d. Let i be v(6). Solve 4*b + i + 12 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331711 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39887 - -3?\nAnswer: -39884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2513*g**2*t**2 + 2*g*t**2 - 79*t**2 - 2*t - 133 wrt g?\nAnswer: -5026*g*t**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*u = -w, 0 = 4*w + 5*u. Suppose -3*k = -w*k - 33. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32842.6ml?\nAnswer: 32.8426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4671.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 7*h\/2 + 72.\nAnswer: -(h - 9)*(h + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 - 13. Is 35 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4328 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 11\/8, -1\/139, 4\/3, -3?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/60 - i**4\/12 + i**3\/6 - 4*i**2 - 6*i. Let q = 7 - 5. Give o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186, -264, -344, -426?\n\"Answer: -t**2 - 75*t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -55. Suppose -a*w + 6*w + 10 = 0. Calculate the remainder when 19 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 u when three letters picked without replacement from qqqqqqqqqqqquuuuqq.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 26. Let q = c - -16. Let i be -2 - 1 - (q - 9). Solve i = -h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjtjjttjtjjtttjjjj. What is prob of picking 1 t and 1 j?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (8 - (-2 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*m - 14. Let k(g) = -2*g - 2. What is k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/217 and -59\/93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 9) to base 12.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 21, -0.2, 6\/121 in ascending order.\nAnswer: -5, -4, -0.2, 6\/121, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukkkukuuu. What is prob of picking 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/5858 and 69\/611252.\nAnswer: 17726308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323250 + -109903. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19282376 and 12.0773.\nAnswer: 19282388.0773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/936 and -1\/312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(4 + sqrt(180))*5 + -5.\nAnswer: 57 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 1. Let j = -3 + 5. Let w(t) = t**2 + 5*t - 4*t - 2*t**2. Determine j*w(r) + s(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3786947168 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 10) in base 11?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by 1\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -983508*s - 24*s**4 - 38 - s**3 + 983508*s in the form c*s + l*s**4 + j + t*s**2 + u*s**3 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 36*d + 38. Let s be u(19). Suppose s = -4*w + 2*v - 78, -w + 4*v = w + 42. Which is greater: -21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 + 134. Let n(o) = -3*o - 15. Does 3 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(0 - 2*z + 0) + (0 - 5 + 2)*(2*z + 1 - 1).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/315 and 38\/585.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 106290*c**2 - 1701920*c.\nAnswer: 5*c*(c - 16)*(c + 21274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 1119 + 1401. What is the highest common factor of k and 1932?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22308 - -22303. What is the nearest to 0.8 in s, -1\/3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 32 - 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77865966 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 770.61.\nAnswer: -77.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5380844 + -135?\nAnswer: -5381080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*1*sqrt(684)*-2 - (-2 + -2*(0 + sqrt(684)))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -27. Suppose -341 = 3*w + 4*z + 499, -4*w - 1095 = -3*z. Let o = w + 1929\/7. What is the closest to 0.1 in -0.4, i, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dattaxasstatataddavd. Give prob of sequence ts.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17737119623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -3*l, -l + 3*l + 5*p - 9 = 0. Suppose -12 + 72 = 30*g. Solve 0 = -l*a - g*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1984, -2301, -2618?\nAnswer: -2935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 53, 59, 41, -13, -115, -277, -511?\n\"Answer: -2*i**3 + 6*i**2 + 14*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -41.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - 149*v**2 - 316*v + 267. Give s(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*g + 39457 - 37907 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8818*a. Let z(j) = 4*j. What is g(z(h))?\nAnswer: -35272*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -183. Let c be -6*2*134994\/(-8). Let s be c\/(-45) - t\/(-10). Round s to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -49, 622, 15, -1.\nAnswer: -49, -1, 8, 15, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.704 - 0.48. Let g = 3.202 + -2.97553. Let t = g - n. Round t to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 3*y = -1080. What is the greatest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 397 - 202. Let z = -133 + f. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.67 + 10.1. What is the second biggest value in 0.2, 4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951405, 1902812, 2854219, 3805626, 4757033, 5708440?\nAnswer: 6659847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 - 44 = 0. What is the smallest common multiple of 468 and c?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -905, -1804, -2705, -3608?\n\"Answer: -q**2 - 896*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10059790.0000022 + -10059791. Let r = l + 1. What is r rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*p = 506*p - 206 - 766 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -1\/233 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51474.79986 + -51484.8. Let y = z + 10. Round y to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - a + 28, -f + 3*a = -48. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 15. What is the lowest common multiple of 8 and (4 - w\/(-5))*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2 - 457*q + 1380 = 0.\nAnswer: -460, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b + 4. Let q be w(0). Suppose u + 3 = q*v, 0 = 3*u + 6*v - 2*v - 23. Let c(r) = u*r - 4*r + r. Let p(a) = -2*a. What is p(c(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 < -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 147491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0221+72\nAnswer: 72.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times -11.42105?\nAnswer: 342.6315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**5\/20 + 5*x**4\/12 + x**3\/2 + x**2\/2 + 57*x. Let w(j) = -8*j**3 - 6*j**2 - 4*j - 1. Calculate -6*k(u) - 5*w(u).\nAnswer: -2*u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010 + -100000000100101110?\nAnswer: -100000000010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 480*s - 484*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(75)) + 2*sqrt(75) + -4 + ((sqrt(1470) + (sqrt(1470) - sqrt(1470)*2) + sqrt(1470))\/(sqrt(10)*1*-6))**2 + 0.\nAnswer: -47\/12 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 477201.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 20*q**6 - 18*q**5 - 2*q**3 + q**2 + 2*q - 12. Let g(r) = r**3 - r. Let m(k) = 2*g(k) + p(k). Find the third derivative of m(n) wrt n.\nAnswer: 2400*n**3 - 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-2 - 1))\/1. Suppose 48*y - 43*y - 620 = r. Suppose 3*z - z - 3*h = 58, 0 = 4*z - 2*h - y. Calculate the least common multiple of 24 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*r**2 + 7975101 - 386*r**2 - 7975101.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(2 + (sqrt(65)\/sqrt(5) + sqrt(13) - sqrt(13))) + (-2 + sqrt(325) + -2 + -3)**2.\nAnswer: -74*sqrt(13) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -222691 divided by -10\nAnswer: 222691\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52784969 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: Let b(o) = o**2 + 2*o + 6. Let d be b(-5). Let m = -25 + d. Let n be 5 + 2 + (m - -1). Solve -2*y - 6 = -2*s, s - n = -5*y + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*d - 121067576 + 121067576.\nAnswer: -785*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-35)\/(-10)*14\/441*9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or 147?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 22 = -2*g + 2, -12 = 3*a. Let h = -0.5 + 0.3. Let k = -0.3 - h. What is the smallest value in k, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -3 - 1*-2435. Let c = d + 2666. What is c rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(272) + 3*(sqrt(272) + -1 + sqrt(272)) + 0)**2.\nAnswer: 26656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/11 (b) 7.8 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-6)\/14)\/(4\/14). Let o(w) = w**2 + w + 2. Let i be o(-2). Suppose d - 10 = -i*d. Solve 2*p = h*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -6 (c) -1\/47 (d) -2 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8220086 is divided by 55.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**3 + 80*m**2 + 23*m + 13. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*b + 7924*j - 7922*j, -4*j = 142*b + 256 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 59*h**2 + 143*h - 125. Let j be f(95). Round j to the nearest one thousand.\nAnswer: 338000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -1 + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (-5 + sqrt(704)*-2 - sqrt(704)) - sqrt(704)) + sqrt(704) + -2)**2 + sqrt(55)\/(sqrt(25)\/sqrt(5)) + -5*sqrt(44)\/sqrt(4).\nAnswer: 188*sqrt(11) + 11273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14)*140\/(-105)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r + 2. Let z be c(7). Suppose 3*x = 203 - z. Suppose x = -4*m + 141. What is the remainder when 41 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z + 288. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 3*d - 3. Let t be o(4). Let y = 10 + t. Suppose -69 + 12 = -y*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, -1, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148, -150, -152?\n\"Answer: -2*n - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6912915.362 to the nearest 100.\nAnswer: -6912900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -50552?\nAnswer: -50552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -743280 and -743280 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and 39\/1202.\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 108870.8 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 5*-2)*1. Suppose -4*f + 2*c + 6 + 6 = 0, 2*c - l = -2*f. Suppose f*x + 2*x = 0. Is -2\/13 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020936503994 to 7 dps.\nAnswer: -0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10605887 and -0.1.\nAnswer: 10605886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2291.\nAnswer: 13746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43030520 and 7447590?\nAnswer: 387274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s\/s**11*s)\/(((s\/(s\/s**3*s*s*s*s))\/s)\/(s**(-5\/3)*s)) assuming s is positive.\nAnswer: s**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28884 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4\/7, -6, 0.11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:12 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715 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: Evaluate (16\/6)\/(-4)*(-51)\/119.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1321\/10568)\/((-11)\/24).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 1 + sqrt(325) + sqrt(325) + 3 + (2*(sqrt(13) + 0 + sqrt(13)) - (sqrt(117) + -4)).\nAnswer: 8 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -41. Let g = -16 + w. Let o = -8 + g. Solve z - o = -0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390718 divided by 3.\nAnswer: -390718\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - 2*y + 0*y + (-y + 2*y - 2*y)*(5 - 4 + 1) - 1 + 1 - 6*y + 3*y - 3*y + 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001414 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*d + 2*d + 42 = 0, 2*d = -5*o + 70. Suppose -f - 5*n + 13 = 0, 5*f + 4*n - 42 = 2*n. Calculate the least common multiple of o and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1\/4))\/j)**(-9\/5)\/(j**(2\/7)*j)**(-2\/87))**(7\/11) assuming j is positive.\nAnswer: j**(-1707\/6380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 19*n - 23. Let k be q(-21). Suppose 2*v = 21 + k. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1112582013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1060\/7 (b) -2 (c) 2\/4125 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 746*k + 3*u = 751*k - 74467, -4*k + 4*u = -59572. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**12)**(-10)\/((y**2\/y)\/y*y**19\/y) assuming y is positive.\nAnswer: y**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 <= 119\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*q + 118 + 118 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -103471032755 from 0.06.\nAnswer: 103471032755.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/4, 2\/39, 2, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 10 - 10 = 0. Let g be (-2)\/(-1) + -2 + 4. What is the fourth biggest value in 0.2, b, g, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -5*x + j, 2*x + 0*x - 68 = -2*j. Put 0, x, 1 in decreasing order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -12278\/123?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002200210 (base 3) to base 5.\nAnswer: 1143043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 8. Let n be v(-16). Let h be 12\/42 + n\/(-14). Suppose -g + h*i + 68 = -21, -3*i - 282 = -3*g. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 - -232.83. What is b rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 16*r**2 + 12*r + 1. Let w be m(5). Let o = w + -268. Calculate the greatest common factor of o and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-5 + (8 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-399)*3 - 1704\/57. Let l be (12 + 372\/(-30))\/(1\/x). Suppose -7 = -t + 5. What is the highest common factor of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/312 in -5, 3, 0.17, -0.1, -1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*c - 18 = -r, 2*c - 10 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000000100011110001001 (base 2) in base 10?\nAnswer: 10504073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i - 5 = 0. Suppose i*d - 4*k = -65, -4*d + d + k = 32. Let j = d + 25. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 410*f - 17769. Give p(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(832) + -4*sqrt(832))**2 + (sqrt(832) - (-3 + (sqrt(832) + sqrt(832)*1)**2 + sqrt(832))).\nAnswer: 192*sqrt(13) + 4182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.8 - -6.8. Let k be ((40\/15)\/8)\/((-1)\/(-3)). Which is greater: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357926 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201722.8 rounded to the nearest one thousand?\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 1, f: 5, x: 1, j: 3, h: 1}. Give prob of picking 2 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -12.9. Let k = -0.9000095 - o. What is k rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*t - t + 3*n, t - 5*n - 35 = 0. Let o be (18\/(-8) + 2)*-4. Calculate the remainder when ((-44)\/(-10))\/(o\/10) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140568 >= 4779337\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -11*z**5\/30 - z**4\/24 + 5*z**2 - 8. Let i(k) = -2*k**2. Give d(i(h)).\nAnswer: -88*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = x - 24, l = -x - 12. Let j be l*((-32)\/(-6))\/4. Let d = j + 27. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(252) + -1 + sqrt(252))*-4 + (1 + sqrt(252) + 0 + -4)**2.\nAnswer: -84*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250*i = 1028*i + 11766. Solve -5*z + 29 = -4*p, i*p + 20 = 48*p + 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkwbwmmgomwbmow. What is prob of picking 1 w and 2 b?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*u + 57 - 3, -4*n = 5*u - 51. Suppose a + u*a = 264. What is the remainder when 64 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -767, 3, -15, 4, 2, -5 in decreasing order.\nAnswer: 4, 3, 2, -5, -15, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.91 take away -832.68?\nAnswer: 863.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, -7, 16, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 14*v**2 - 4*v - 18. Let r be x(5). What is the highest common divisor of r and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648\/27*2438\/(-2544).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/((-7567)\/92)*4*1085\/40.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 - c**2 - c - 1. Let v = 2 + 6. Let a = v + -9. Determine w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -644 and -2\/8999 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17800?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/7 + 31 + 5 + -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 12*t - 20. Sort 0, -12, t, -1.\nAnswer: -12, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 819, -5, 19 in descending order.\nAnswer: 819, 19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let n(h) = 3*h - 3. Let r(q) = -n(q) - 4*s(q). What is r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 - 5*i**2 - 2. Let m(d) = -7*d**3 + 11*d**2 + d + 3. Let l(s) = -5*c(s) - 2*m(s). What is l(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125824163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 28 - 20 = 0. Which is the nearest to -1? (a) -3 (b) l (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b050 (base 12) to base 9\nAnswer: 28136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6270787*f**3 + 17729127*f wrt f?\nAnswer: -37624722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-364)\/120 + 4))\/(39\/(1170\/24))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqnitn. Give prob of sequence tnqn.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 46*z + 352 = 0. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 36*a**2 - 63*a + 255. What is v(-38)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59265140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7) - 0\/(-6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75\/(-50) + 98940\/40 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b*f**2*p**2 + 10*b*f**2 - b - 4*f*p**2 + 25*f wrt f?\nAnswer: -52*b*p**2 + 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3076 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -35*b + 8. Let i(h) = -146*h + 38. Let z(n) = -i(n) + 4*s(n). Suppose -2*m + 5*m - 23 = -5*v, 0 = -m - 4. What is z(v)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11220)\/(-18)*(-12)\/(-10). Suppose -2*a + d = m, -2*a + m = 5*m - 742. Suppose 2*s - 287 = a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4 + 0 + m**3 - 3 - 2*m**2 + 1. Let v be g(1). What is the units digit of (8 - -61) + (1 - -3)*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 80. Let s(t) = -t - 2. Let q = -28 + 21. Let a be s(q). Solve l - 4*w = u, -a*l = 3*w - 28 + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 + 4*f + 11. Let d(r) = 6*r**3 - 4*r**2 + 21*r + 54. Let n(b) = 2*d(b) - 11*m(b). Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1395076 by 4.\nAnswer: 348769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-21)\/c)\/c)\/(c\/c**17) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -50. Suppose 0*h - h + 3 = g. Solve 0 = h*d + z - 17, -5*d - 11 = 5*z - 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 - (4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -73504 + -0.1?\nAnswer: -73504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 3*a - 3. Let s be x(-2). Suppose -77 = 3*f - 83. Let i be (-10)\/4 - 3\/6. Put i, s, f in decreasing order.\nAnswer: f, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2\/2 + w + 4. Let u(p) = -p**2 + 4*p + 7. Let a(o) = 5*h(o) - u(o). Suppose a(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6818 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 21. Let z be k(-3). Let h = 290 - 269. What is the greatest common divisor of z and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 446319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 (base 11) in base 2?\nAnswer: 11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 + 7*o + 16. Calculate z(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.8, 0.104, -23 in increasing order.\nAnswer: -23, 0.104, 27.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (630\/(-91) + 6)\/(-2 + (1 - -3)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007822577.\nAnswer: 73, 1433, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 22800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)\/((l**(3\/4)*l)\/l)*(l\/((l\/(l\/(l**(1\/2)\/l)))\/l))**32 assuming l is positive.\nAnswer: l**(319\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 42*k**2 - 4 + k**3 + 11*k**2 + 18*k**2 + 14*k**2 + 5*k + 3*k**4 as t*k**2 + b*k**3 + a*k + z + o*k**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021136 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22988 is divided by 4509.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5472568 rounded to three decimal places?\nAnswer: 11.547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let h(f) be the first derivative of -f**3\/6 + f - 2. Let p(t) be the first derivative of h(t). Give u(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y + 3*y)*(41 + 9 - 1) - 2*y - y - y.\nAnswer: -102*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 2*l**4 + 3*l**4 + 0*l**2 - l**4 + 0*l**2 + (-1 + l**3 + 1)*(0*l + 77702 - 77746 - 3*l) as w*l**4 + i*l + r*l**2 + o + n*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 4*a - 6.\nAnswer: 2*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(108) + -1)*-3 - sqrt(108))*-6 + -3)**2.\nAnswer: -187947 + 18144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 73.13 - 0.5\nAnswer: 72.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2639651997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48988 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a factor of 20152324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -42562?\nAnswer: 42561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47968200 rounded to the nearest one hundred thousand?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -11, 2\/3, -2\/5, 2, -5\/4 in descending order.\nAnswer: 2, 2\/3, 0.3, -2\/5, -5\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -122. What is the derivative of -2*t**3 - t**d + 3*t**2 + 49 - 104 wrt t?\nAnswer: -9*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5465 = 24*q + 4097 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -15, -5, 15.555, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 29. Let s be d(-15). Sort s, -5, -2 in ascending order.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/36*-3 + 4061\/5895*6\/8.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 48*r**2 + 254*r + 85. Let h be b(17). What is the greatest common factor of h and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.028?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -17058*c + 2. Let k(h) = 72*h**2. What is n(k(s))?\nAnswer: -1228176*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-9)*m**(-2\/11))**43*(m**(-1\/2))**(-29)*m*m**(-4)*m\/(m*(m**(-3\/5)\/m)\/m) assuming m is positive.\nAnswer: m**(-37149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 - 5*q - 5. Let k be b(5). Let f = k - -3. What is the tens digit of 2\/((-2)\/(-39)) + f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 3 + 7 + -19 - 19?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.3 (c) -1 (d) -180 (e) -3 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 16*y - 36*y + 22*y + (-1 + 7 + 4)*(-y - 2*y + 6*y) to the form m + v*y and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246 or 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 + 12*l - 2. Let g(p) = -11*p**2 - 26*p + 4. Let c(v) = -6*g(v) - 13*h(v). Let s(r) = -3*r**2 - 9. What is 18*c(u) + 4*s(u)?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.632386281 + -64.9.\nAnswer: -65.532386281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*c = 175*c + 2520. List the prime factors of c.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1014 and 49\/260.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-5)*r))\/(r*((r**(-13)*r)\/r*r)\/r) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 0*v - 3*v + 4*v - 2. Calculate w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/43 (b) 0.1 (c) -1\/9 (d) -1 (e) -5\/3 (f) 0.4 (g) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 4*y**4 - y**4 + (-y**3 + 0*y**2 + 0*y**2)*(y - 3 + 3) - 16*y**4 - 46*y**4 + 34*y**4 as i + f*y**2 + k*y + x*y**4 + m*y**3 and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 4*o + 96, 4 = -o. Suppose -g + f = 4*g. Solve 3*u + g*r - 15 = 0, 2*u + 4*r + 0*r - 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105 plus -9?\nAnswer: -9.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k + 18. Let b be o(-6). Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 + s - 8. Suppose 5*h + 4 - 9 = 0. Let z = h + -31. Let k be (z\/(-8) + -3)*32\/(-4). Calculate o(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/7 (b) 9 (c) 173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791131820.\nAnswer: 2, 5, 769, 51439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**3 - 3\/2*m**2 + 3\/4*m**4 + 5 + 6*m. Let s(d) = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1\/11, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -50. Let t(n) = -n + 22. Is t(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fggf when four letters picked without replacement from {g: 2, f: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -134050 greater than or equal to -134009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 5)*(-74236*m + 100003*m + 134888*m + 49664*m + 136971*m) to c*m + o and give c.\nAnswer: -347290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/(o\/(o*o\/o**2))*(o*(o\/((o\/(o**(-1\/5)*o))\/o))\/o)\/(o**2\/o*o) assuming o is positive.\nAnswer: o**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.860897 + -106892\nAnswer: -106892.860897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.2 + -6298.\nAnswer: -6303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -21 + -2 - 1*19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-760)\/14 - 2\/(-7). Suppose -p = 2*p - 96. Let v = c + p. What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)**1)**(-4\/27)*((m*m**(-2\/11))**(-27\/2))**(26\/5) assuming m is positive.\nAnswer: m**(-86173\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -61. Let d(t) = -t**2 - 23*t - 74. Let n be d(-19). Suppose -39 = -q + 3*p, 54 = 3*q - 2*q + n*p. Calculate the greatest common divisor of f and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - (-100534)\/215. Let v = 469 - l. Solve -3*s = -2 - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -0.17. Let u = 4.05 - 3.814. Let p = u + d. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2120 divide 244588381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 4*s**2 + 4. Suppose 3*b = 0, 3 = -v - b + 5. Suppose v*i = -0*i - 8. Let a be d(i). What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 0.298 (c) 0 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 4. Let l(h) = -10*h**3 + 2*h - 5 + 6 - 3*h**2 - h. Let o be l(1). Let j(v) = -15*v + 21. Give o*k(q) - 2*j(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/5 - 4*t**5\/5 + 7*t**4\/6 - 2*t**3\/3 - 2*t. Factor i(y).\nAnswer: 2*y*(y - 1)**2*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -409, -42, 379, 860, 1407, 2026, 2723?\n\"Answer: o**3 + 21*o**2 + 297*o - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 595810318 * -0.3.\nAnswer: -178743095.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22038883499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -23?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243005 + -241403.69. What is l rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010011100001001 (base 2) in base 7?\nAnswer: 433126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 898\/(-6) - 6\/27*-3. Let p = i - -183. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/30 + t**4\/2 + t**3 + 3885*t**2. Calculate n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (38\/3)\/(336\/189) and -79\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 431*z + 22. Let y(w) = -213*w - 10. Let q(f) = 4*k(f) + 9*y(f). Let m(d) = -2*d**2. Calculate q(m(c)).\nAnswer: 386*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -492, -1003, -1526, -2067, -2632, -3227?\n\"Answer: -i**3 - 504*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 2*x + x + 605 - x.\nAnswer: -x + 605","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y + 32*y + 93*y)*(-4 - 1 + y + 6) to j*y**2 + c*y + h and give c.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 21 + (-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooao when four letters picked without replacement from oaaaaaagaaaaaaooagaa.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 2*g**3 - 16*g + g + 2*g - 13*g + 22*g - 13*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.943 less than 0.05?\nAnswer: 1.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11.7931 - -0.1\nAnswer: 11.8931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139 + -124 - (1 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -69535.5?\nAnswer: 417213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 13*h**2 - 5*h + 2. Let n be g(-6). Let v(t) = 13*t - 4. Let s(j) = 170*j - 51. What is n*s(l) + 51*v(l)?\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -2006996\nAnswer: -12041976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7111 + -3008. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9464 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.352 * 3.\nAnswer: 25.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 202*s = -4347 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 4*a)*(2*a - 2*a**4 - 2*a) + (0*a**4 + 27*a**4 + 12*a**4)*(-2*a + a + 0*a).\nAnswer: -33*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 12, -d = -2*p - 9 + 35. Let m = p - 11. Solve 0 = -2*y - 2 + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844570619?\nAnswer: 257, 3286267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 14*u + 19*u = -5086, -c - u + 1698 = 0. Let v = -1108 + c. What are the prime factors of v?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -3*a**4\/4 - 3*a**2\/2 + a. Let m(z) = -3*z**2 - 1. Let f(j) = 8*m(j) - 3*s(j). Find the first derivative of f(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 964, 1445, 1926?\nAnswer: 2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 68 - 24 = 0. Let q = u - -78. What is the greatest common factor of q and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + -4. Let m = -36.2 - i. Sort m, 2, 0.6 in increasing order.\nAnswer: m, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1011, 1519, 2027?\nAnswer: 2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -52. Let y = 0 + 2. Let i be y\/(-5) - 42\/(-30). Put i, -2, v in increasing order.\nAnswer: v, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 12*y + 12. Let z be h(-11). Let f = -5 + z. Let o be (-1)\/2 + 22\/f. Let r(x) = x**2 + 6*x + 3. Calculate r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwjjjtjjjjwjwjjjtw. What is prob of sequence wtww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4445829 and 43\/4939810?\nAnswer: 44458290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23199510 a multiple of 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 + 10*p - 9. Let n be s(-9). Let m = -15 - n. Suppose 13 = m*t - 2. Solve 17 = t*h + 3*i, 8*h - 3*h + i = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 10*w - 1. Give d(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32191 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i + i, z + 4*i - 34 = 0. Suppose -16 = -b + 18. What is the remainder when b is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29710614 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h**5 + 459*h**4 - 4764*h**3 + 17520*h**2 - 7200*h - 6000 = 0.\nAnswer: -2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j\/j**(-1\/10)*j)\/j)\/j**(-32))**(-33\/2))**33 assuming j is positive.\nAnswer: j**(-382239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.629413678 + 71.\nAnswer: 85.629413678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1514 and -37\/2121871?\nAnswer: 4243742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:40 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 21546*j + 48 - 43096*j - 3*j**2 + 21541*j to the form b + o*j**2 + h*j and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1092, -5, 3.\nAnswer: -5, 3, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**3 + 41. Let v(h) = h**2. Calculate v(u(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 + -1 + 110\/(-10) and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 = 0, -z - 2*j + 189 - 189 = -4*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 433\/9. Let r = 88 + -155. Let s = -63 - r. Which is the smallest value? (a) x (b) -1\/2 (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5821390 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2. Let u(x) be the first derivative of -x**2 - 28*x - 24582. Let k = -8 + 6. Determine k*u(h) - 28*z(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 1. Let q(f) = 6*f + 1. Let r(d) = 4*k(d) + 3*q(d). Let v be r(-2). Find l such that -2*l**2 - l**3 - v*l**2 - l**2 + 7*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.51 - -13.51. Let z = -15 - -13. What is the fourth biggest value in 0.1, y, z, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8645642 nanograms in tonnes?\nAnswer: 0.0000000000000008645642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727641572 by -3712457.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1333111111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2563 + 13 = 184*l. Solve -4*f = -k + 21, 16*k - 3*f - 22 = l*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 13 = 5*n, 963*n - 958*n = -4*w - 37 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 11. Let r be d(5). Let j be (r\/3)\/((-2)\/42). Let u(p) = 35*p**2 + 3*p + 4. Let k be u(j). Round k to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.8 + -13. Let b = h + 0.7. What is the third smallest value in -0.1, b, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -58. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 + 6*b - 224)*(7*b**2 + 4*b**3 - 7*b**2) + 5*b**4 - b**4 - b**4.\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473220 is divided by 94644.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2535, 5074, 7613?\n\"Answer: 2539*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2. Let t(a) = -279100*a**2. Give t(o(p)).\nAnswer: -13675900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 64\/7*a**2 + 0 - 48\/7*a + 4\/7*a**4.\nAnswer: 4*a*(a - 3)*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/12 + 3\/2. Suppose 3*a - 6 + 45 = u. Let x = a - -24. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 1692231*b + 1692227*b - 51, -h - 5*b - 13 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 11 - 28) + 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 763645*s - 5150*s**2 - 763645*s + (-s + s + 2*s)*(0*s - 3*s + 4*s) as b*s**2 + l*s + r and give b.\nAnswer: -5148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57553 - -80788. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + 1*sqrt(22)\/sqrt(2) + sqrt(11))**2.\nAnswer: -4*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**4 - 9*m**6 - 19*m**2 + 6*m**4 + 12*m**2 wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 2*d + 1. Let k(p) = -6*p**2 + 7*p + 3. Let u(w) = -2*k(w) + 7*l(w). Let j(m) be the first derivative of u(m). What is j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppemepmpppr. What is prob of picking 2 e and 1 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 419792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30307, -60511, -90625, -120643, -150559?\nAnswer: -180367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 - 21161460?\nAnswer: -21161550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let j(u) = a*u + u - u - 5*u. Let o(p) = 2*p. Calculate o(j(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygb when three letters picked without replacement from {b: 1, y: 2, k: 1, o: 2, l: 2, g: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 + 29*j. Let p(z) = -6*z**2 + 28*z. What is 6*p(o) - 5*u(o)?\nAnswer: -o**2 + 23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -237334559 divided by 77\nAnswer: -3082267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*s - s - h, -2*s - 2*h = -18. Suppose s*w + 0*w = -30. Let q(b) = -2*b + 3. What are the prime factors of q(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (1 - 3\/1). Let j(d) = d + 8. Let m be j(-6). Suppose -5*h = 13 + m. Is h at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -20)\/(6\/9). Let f = w + 51. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38d - 3?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62095 and 5630240?\nAnswer: 6356540960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000165008 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 15 = 46*w - 28*w, a - 13 = w for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-35) + 2\/(-5). Which is the closest to -0.41? (a) p (b) 2 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 719869 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + 20*b + 32. Determine x(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 8304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + d = -4*n, -d = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 34267*i - 2. Let p(x) = 36*x. Determine v(p(h)).\nAnswer: 1233612*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 15 = 5*v. Let w be 1 + -4 + (5 - 5). Sort -5, w, v in decreasing order.\nAnswer: v, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -18. Suppose -i*j = f - 50, 2*j = 5*f + 4*j - 226. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/2 + 12*a + 10. Differentiate r(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - c - 15 = 0, 3 = -3*m + 4*m - 5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2957, 1.5, 4 in descending order.\nAnswer: 2957, 4, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3495*i**2 + 12456?\nAnswer: -6990*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 + 718)*-1)\/(3\/(-3261)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3409, 3407, 3405, 3403?\n\"Answer: -2*u + 3411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 = -n, -4*h - 2 = 4*n - 2*n. Let o(r) = 0*r**2 - 3*r**2 + 2*r**h + 0*r**2. Let j(t) = 5*t**2. Determine o(j(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40621419*j**4 + 25339255.\nAnswer: 162485676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - x + 2. Let v(i) = -i**2 + i - 1. Let s(u) = c(u) + 6*v(u). Let g be s(-9). Let w = -1 - -9. What is the highest common divisor of g and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**3 - 12326334*p**2 - 16435088*p - 5478360 = 0. What is p?\nAnswer: -684795, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13*i*i*i**(1\/2)*i)**(-2\/7) assuming i is positive.\nAnswer: i**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268*v**5 - v wrt v.\nAnswer: -5360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6056*a**3 + 1352*a**2 wrt a.\nAnswer: -36336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 47*i - 194*i**2 + 191*i**2 - 71.\nAnswer: -3*i**2 - 47*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20866060 by -1043303.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 17. Let h = -26 + c. Suppose -5 = -2*p - 2*f + 5*f, 3*p + 4*f = -18. What is the nearest to h in 4, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007378 to seven decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0919*0.2.\nAnswer: -0.01838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5*67\/(-268))\/(3\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + i. Let q(n) = -6579*n**3 - 559*n. Determine -1118*o(u) - 2*q(u).\nAnswer: 10922*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 718 = -124*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12245 + -1?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {j: 2, p: 1, m: 3, k: 4, l: 3, z: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*3*(-4)\/3. Solve -3*s - 19 = n*s + 3*j, -4*j = -5*s - 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6*v + 7*v = -42, -3*b = -5*v - 40. What is the lowest common multiple of b and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/120 - 5*c**4\/24 - c**3\/6 - 4*c**2. Let d(j) be the first derivative of k(j). Let t = -2 - -2. Give d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*a**4 + 2*a**3 + 229959*a**2 - 2375329*a + 21 wrt a?\nAnswer: -600*a**2 + 12*a + 459918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -42. Let p be q\/4 + 27\/(-18). Let n(l) = -7 - 2 - 2*l + 7. Let j(b) = -b**2 + 7*b + 7. Calculate p*n(s) - 2*j(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 19. What is the nearest to 1 in y, 5, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 76*y**2 - 578*y - 245. Let s be j(83). Solve g = s*f + 21, 5*f + 0*f = g - 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2705 - 24319\/9. Let o = -77\/82 - 2816\/123. Find the common denominator of v and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2 + 46716\/340. Let w = 139 + -4. Let k = n - w. What is the nearest to 0.1 in 5, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81800.27 milligrams in nanograms?\nAnswer: 81800270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29719775, -29719779, -29719783?\nAnswer: -29719787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + -143112?\nAnswer: -142403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*o**5 + c*o**4 + 159511*c*o**3 + c*o**2 + 547*c*o - 3*o**2 wrt o.\nAnswer: -60*c*o**2 + 24*c*o + 957066*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155523680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/976 and 47\/87840.\nAnswer: 87840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 12*w**2 + 29*w - 141. Let k be t(13). Let u = -404 + k. Solve 0*b - 4 = b + p, p = u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287694476 to the power of 1\/2, to the nearest integer?\nAnswer: 16962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91447 is divided by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - 123\/12. Let u = w - -15. Let p = -4 + u. Solve 26 = 5*m + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2925 divided by -25\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + (-7 - 5)) - (635 + -644).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5\/4, 22, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**4 + 3*o**3 - 2*o**2 - 3*o + 3. Let l(w) = 5*w**4 + 5*w**3 - 5*w**2 - 5*w + 5. Let a(i) = -3*l(i) + 5*q(i). Factor a(u).\nAnswer: -5*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1705 - 850 - 864 + 27*w - 7*w. Let u(q) = -8*q + 0 + q + 3. Let b(j) = 6*t(j) + 17*u(j). Give b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13763\/6 - 2291. Let q(y) be the first derivative of 0*y + b*y**6 - 5 + 0*y**5 + 0*y**3 + 2*y**2 + 0*y**4. What is the second derivative of q(m) wrt m?\nAnswer: 340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 904 and 25764.\nAnswer: 51528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6691048.\nAnswer: 2, 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*t - 154*t. Suppose t = 15*g - 2*g. Solve -5*u - 2*x + 7*x - 10 = g, 3*u - 5*x = -12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30\/75 - (-328)\/5 and 3 - 0*(-13)\/(-156).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 4*l**2 - l**2 + (0*l + 3*l - 4*l)*(-2*l - 2*l + 3*l) + (-3*l + 7*l + l)*(34*l - 20*l - 7*l).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 86440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4234574742 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 649 + -644. Sort 2\/7, -2, -3\/5, g, 0.1 in decreasing order.\nAnswer: g, 2\/7, 0.1, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1720 and 3984.\nAnswer: 856560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -447025, -446248, -445471, -444694?\n\"Answer: 777*d - 447802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*n + 1026 = 222*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(-4 + sqrt(117)) - (2 + sqrt(117) + 5)))**2.\nAnswer: -930*sqrt(13) + 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 60 = -13*s. Solve -4*i - s = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6.2. Let g = d - -2. Let x(y) = y**3 - 2*y**2 - 2*y + 2. Let f be x(3). What is the closest to g in f, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/((-765)\/(-12)))\/(14\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0 + 160\/3*n**4 + 28\/15*n**6 + 0*n**2 - 2\/21*n**7 - 256\/3*n**3 + 10*n - 72\/5*n**5. Factor w(c).\nAnswer: -4*c*(c - 4)**3*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71948431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147214.\nAnswer: 2, 73607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 25*u - 76. Suppose 272 = 3*o - 10*h + 12*h, -3*o = u*h - 267. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*v - 2*r + 568, r = -4. Suppose 0 = m - 3*z - 20, -2*m + 0*z = 2*z - 72. What is the highest common divisor of v and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-110 - -67) - 55?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/6 + j**2\/2 + 5*j - 2. Let c(z) be the first derivative of f(z). Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 27 = 5*q, -6*c - 9 = 22 + 2 + 21 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**7\/210 - 7*o**6\/120 - o**5\/4 - 3*o**4\/8 - 11*o**2\/2 + 2. Let d(l) be the second derivative of m(l). Factor d(t).\nAnswer: -t*(t + 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12 - 0. Suppose 3*y - o - 673 = -0*y, -5*y + 1131 = -n*o. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 0. Let p be (-2)\/1 + (-7 - -11). What is the third derivative of -3*n**4 + 0*n - 3*n**p + r*n wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -31630?\nAnswer: -31630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123 + -983\/8. Sort -1\/6, -4, o in ascending order.\nAnswer: -4, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8*(-352)\/132. Which is the nearest to 1\/2? (a) 4 (b) g (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and 7126.\nAnswer: -527324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418 and 266?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27460663369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 - 3*m**2)*(3*m**2 + 0*m**2 - 4*m**2) + 6*m**4 + 0*m**4 + 3*m**4 + (-4*m**4 + 0*m**4 + 2*m**4)*(-4 + 2 + 0) + 3*m - 2*m**4 - 3*m.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28431, 56797, 85143, 113469, 141775?\n\"Answer: -10*y**2 + 28396*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2\/2 + 13714761*g\/2 - 34286940 = 0?\nAnswer: -4571592, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393933369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 2. Let q be ((-6)\/15)\/(18\/m). Let z = 0.2 - 1.2. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**2 + 1\/60*s**5 - 2\/3*s**3 + 0 - 1\/6*s**4 + 0*s. Suppose -5*t + 11 = -14. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -539?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -259, -548, -837, -1126, -1415?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5)*55\/66. Which is the second biggest value? (a) d (b) 2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*z - z - 2 + (z - 3*z + 0*z)*(4 - 2 - 3) + 0*z - 3*z + 5*z.\nAnswer: 5*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 160862 at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 - 389*a - 13054. Let v(g) = -2*g**2 - 259*g - 8702. Let t(k) = -5*i(k) + 7*v(k). Factor t(l).\nAnswer: (l + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22884.617 to zero dps.\nAnswer: -22885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 351db0 - -9?\nAnswer: 351db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and ((-2)\/6)\/(-2*(-4)\/(-504))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -93*h**2 + 135049*h - 18871. Calculate x(1452).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2967 or 2971?\nAnswer: 2967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3429 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**3 + h**2 - 3*h - 6. Let r = -2636 - -2631. Let y(c) = 8*c**3 - c**2 + 2*c + 5. Determine r*w(z) - 6*y(z).\nAnswer: -3*z**3 + z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Let f = d + -4. Let y = -5\/8 - -91\/120. What is the third smallest value in 4, f, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + -23220?\nAnswer: -23331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 499987 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -115599270 to the nearest 1000000.\nAnswer: -116000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*u - 850162 + 20886 - 752344. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y. Let l(x) = 5130465*x. Calculate l(s(h)).\nAnswer: 25652325*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9539, 10863, 13067, 16145, 20091, 24899, 30563, 37077?\n\"Answer: -d**3 + 446*d**2 - 7*d + 9101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7 = 3*j - 5*j, 4*j - 9*j + 4*w + 35 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -51.88. Let m = x + 7.38. Round m to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 293*z**3 + z**2 - 9*z - 8. Let w be 3\/(((-6)\/(-16))\/1). Let t be q(w). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (8 - 22 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -22303030401?\nAnswer: -22303030342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -303. Calculate the lowest common multiple of g and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/405015 and -6\/1894255.\nAnswer: 4949688315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 13 = -440042*m + 440044*m, -3*w + 37 = -13*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -22. Suppose -27 = -w*j + 3*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12609.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2087 - -7.8393. Let y = -16.048 - -16. Let k = g + y. Which is greater: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + -3 - -8) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224 divided by 4.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101102031030 (base 4) in base 11?\nAnswer: 261524a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15643630 or 3?\nAnswer: 15643630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + 11. Let s be y(4). Let w = -341\/5 - s. Which is the second smallest value? (a) -2\/7 (b) -2 (c) w (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u - 8 = -c, -3 = 3*u - 2*c. Let y be (u - 0)\/((-4)\/(-20)). Suppose x - y*m - 145 = 0, 3*x = 2*x + 2*m + 154. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/15)*v)\/(v**(-3)\/v))\/(v**2*((v*v**(-2\/7)*v*v*v)\/v*v)\/v))\/(v**(1\/3)*v*v*v*v*v**(1\/2)*v**(2\/17)) assuming v is positive.\nAnswer: v**(-13561\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 89*p**2 + 1972*p - 429. Determine m(-44).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 4589?\nAnswer: 41301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 32*z - 26 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5 - 8*f - 16 + 9. Let k(x) = x - 30 + 30. Calculate -j(i) - 6*k(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppf when four letters picked without replacement from offffpofffffpf.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2253973*s**3 - 2664*s**4 + 2253973*s**3 + (-2*s**3 - 2*s**3 + 2*s**3)*(-3*s + 3*s - s) as k*s**4 + w + t*s + j*s**3 + g*s**2 and give k.\nAnswer: -2662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -u - 20 + 98, -2*u + 152 = 3*b. Suppose 13*g - 251 + u = 0. Suppose 0 = g*s - 7*s - 690. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.4523 kilograms to nanograms.\nAnswer: 296452300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1284726.94499966 + -1284727. Let w = -0.555 - -0.5. Let j = r - w. What is j rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.25394 - 0.04806. Let h = b + 12.5. Round h to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -13. Let t = -34 + 62. Calculate the remainder when t is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, 4, 0 in descending order.\nAnswer: 16, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 21. Let j be u(-5). Let w be (j\/(-744))\/((-10)\/54500). Let l = 85\/31 - w. Find the common denominator of l and 89\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.992 - 17. Let t = -0.208 - q. What is the biggest value in 3\/5, -0.1, t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.5149 hours in seconds?\nAnswer: 2374253.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - (-1*sqrt(78) + sqrt(78))\/sqrt(6))**2 + 0 + (sqrt(195)\/(sqrt(10)\/sqrt(2)))\/(2*sqrt(3)*-4 - sqrt(3)).\nAnswer: -sqrt(13)\/9 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 less than -332?\nAnswer: -331.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8799 = 123*g + 12243 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r + 5*y - 7, 0 = -2*r - y + 8. Let s be -18*(r + 2)\/(-12). Find the third derivative of -4*u**5 - 10*u**2 + 2*u**5 + 2*u**5 + 7*u**s wrt u.\nAnswer: 840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1538 - 1546 + 1050 - 1687*u**2 - 262*u**2 wrt u?\nAnswer: -3898*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26.2 (b) -1 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 189236, 192987, 196738, 200489, 204240, 207991?\n\"Answer: 3751*w + 185485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 10*q**2 + 23*q - 15. What is z(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-1)\/(-2) + (-1036)\/(-185)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 5. Let n(v) = 31*v + 394. Let y be n(-13). Let z(d) = -3*d - 7. Let r(h) = 1. Let p(m) = 5*r(m) + z(m). What is y*p(c) - 4*f(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -115a?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 6474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345700.\nAnswer: 2, 5, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = -2*l + 4, 4*c - l = -11. Let h(d) = 1 + 0 + 4 - 3*d. Does 5 divide h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 + -1 + -3. Suppose -4*b = -m - 4, -2*b - 7*m + 2*m = -2. Sort 2, l, b in descending order.\nAnswer: 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose 5*y + 4 + 4 = 3*q, 0 = -3*q - 5*y - 32. Let a = 126 + -131. Put a, q, u in ascending order.\nAnswer: a, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470163 (base 8) to base 15\nAnswer: 32574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(133) + sqrt(133))\/sqrt(7) + -4)**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/29)))\/v)\/(v**8*v*v)*(v**9)**2 assuming v is positive.\nAnswer: v**(202\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1917 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.7 - 13. Let n = 1480 - 1479.8. What is the biggest value in i, -2\/5, -0.7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1, 4, 17\/13, -106.\nAnswer: -106, 1\/7, 1, 17\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 14, 1\/11, -0.2, 1\/4, 197?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3, 0.4287, -0.3, 4?\nAnswer: 0.4287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.1 and 0.061?\nAnswer: -2.5681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*w - 0*w - 15, 4*i - 3*w + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292 + -265. Let g(p) = -p**2 + 11*p - 6. Calculate the least common multiple of x and g(6).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3439?\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 25*h**2 - 284*h + 2486. Calculate m(15).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:50 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -15. Let a(z) = -z**3 - 4*z + 44*z**2 + 9*z**3 + 3 - 1 - 47*z**2. What are the prime factors of a(l)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87443 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131128 - -131168. Let l be 2*-1 + 2 + 154. Suppose -2*x - l = -5*i, 2*x - 116 = -2*i - 2*i. Calculate the greatest common divisor of i and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60765881 to the power of 1\/2, to the nearest integer?\nAnswer: 7795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*d + 26 = -3*f, -2*d = 4*f - 36. Let n be (282 + 0)*1*f\/(-16). Which is smaller: n or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 9:24 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2\/3, -1.4, -38, 0, 4, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 5 in descending order.\nAnswer: 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0 + 15*c - 3\/2*c**2. Let a(l) = -l**2. Let p(b) = -3*a(b) - f(b). Let z(v) = -3*v**2 - 4. Determine -4*p(s) - 3*z(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246788?\nAnswer: 2, 103, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.23 + 8.23. Put -2, -0.1, 2, w in decreasing order.\nAnswer: w, 2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -111*t**3 - 182*t. Let j(l) = 11183 + l - 11183. Determine b(j(d)).\nAnswer: -666*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/116234 or -2?\nAnswer: 45\/116234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-55)\/20)\/(2\/8)*1. Let o(y) = y**3 - y**2 - 2. Let f be o(2). Let x(u) = 6*u - 1. Let v(s) = s. Give c*v(m) + f*x(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 + 51749808*s**2 + 103499607*s + 51749802 = 0.\nAnswer: -17249934, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -3. Let j be 3\/(12\/v)*1. Suppose 40 + 364 = j*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -88, -153, -222, -295, -372?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 22*k - 90 = 0. What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbtjjyeb. What is prob of sequence tyj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 67647981?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3 + 198*s**2 - 1068*s - 2912 = 0. Calculate s.\nAnswer: -104, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54117060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1374 and 5898124.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/13 + -28\/65. Let u = 19360 + -19363. Which is the closest to -21? (a) 1\/4 (b) u (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7647 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: Let c(a) = a**3 + 16*a**2 - 5. Let v(w) = 2*w**2 + 52*w - 190. Let g be v(-29). Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 16378532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 219, 209, 177, 117?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 137*(1 - (-3 - -5)). Let t = h - -54. Let i = -48 - t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 9*t**2 - 9*t - 8. Let j be x(-8). Suppose 5*b = -j*b + 35. Suppose 144 = -3*g + b*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, g: 4}. Give prob of sequence grg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -4. Let b be j\/49 - (-4)\/(-7). What is the biggest value in b, -1, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 34*o + 210. Let g be i(-8). Which is bigger: 46.4 or g?\nAnswer: 46.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (83 + -10) - (-1 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10000110000001111?\nAnswer: -10000110000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 949 and 2648659.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*p + 0*p - 3*p as f*p + i and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(10)*-2) - ((sqrt(20) - (sqrt(2420) + 2*sqrt(2420) + sqrt(2420) + sqrt(2420))) + sqrt(20)))\/((sqrt(3564)*-2)\/(1*-1*sqrt(11))).\nAnswer: 35*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f)\/f*f)**(-4\/37)*(f**(1\/3))**(-47)*((f\/f**1)\/f)**(-1\/85)*(f*f*f**(-1))**(35\/4) assuming f is positive.\nAnswer: f**(-1803737\/264180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(792)*-6)\/(2*((sqrt(539)*1 + sqrt(539))*-3 - sqrt(539))).\nAnswer: -144*sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 2*v. Let b(a) = -a**2 + a. Let i(n) = 3*n**3 + n**2 - 15*n. Let w(u) = -6*b(u) - i(u). What is 9*t(h) - 2*w(h)?\nAnswer: -3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 7*s = 12. Let n be (s + 2 + -25)*-2. Suppose -7*d + n = -4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) - 26\/10. Let b = -44 + 43. Sort p, 0, b in decreasing order.\nAnswer: 0, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-10)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001275347 to seven decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31131310223 (base 4) in base 8?\nAnswer: -15356453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-28)*(-2926)\/(-57). Suppose -4*g + 0 + 16 = 0. Let o = u - g. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*p)*(-2*p**3 + 10*p**2 - 10*p**2) + 0*p**4 - p**4 + 0*p**4 + (-p**3 + 2*p - 2*p)*(2 - 2 + 2*p).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 1, o: 3, x: 3}. Give prob of picking 2 u and 1 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 255877409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -10*r + 14*r. Let w(s) = s**2 - 12*s + 16. Let j be w(r). Suppose -9159 - 12926 = -j*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50.46 + 54.66. Which is smaller: -193 or u?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 12*l + 1324. Determine s(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(1 + (-14)\/4). Suppose 3*a = 4*a - 2. Suppose a*v = l*v - 9. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(55)\/sqrt(5)))\/(sqrt(20)\/sqrt(4)*-3 - sqrt(5)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014561674614 to 5 dps.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 30037 + 3116 - 1141. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 145\/75 - 0. Let i(u) be the first derivative of -r*u**3 + 0*u**2 + 1\/20*u**4 + 0*u - 2. Factor i(f).\nAnswer: f**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -25*l. Let d(k) = -416 + 999*k + 415 - 1000*k. Give -3*d(m) + i(m).\nAnswer: -22*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3\/3 - 420555*a**2 + 12618150*a = 0. Calculate a.\nAnswer: -252363, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 350.7995 decades?\nAnswer: 35.07995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t - 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 2*(-1 + sqrt(1008)*-2) - ((4 + sqrt(1008) + 1 - sqrt(1008))**2 - (-1 + sqrt(1008))*-6)).\nAnswer: 78 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**2 + 5 - 3*q**2 - 5 - 2*q.\nAnswer: -23*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438163423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4 - 6 - 5 - 1 - 3*f. Give u(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let k be ((-20)\/(-4) - 3) + 0. Find the first derivative of 26*t**i - 3 - k - 29*t**3 wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 - 46 = 0. Calculate the remainder when 41 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 12}. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 + 2*l**2 + 0*l**2 - 6*l**2 + 4*l**2 + (2*l - 3*l + 0*l)*(-l + 2*l - 2*l) + (5*l - 7*l + 11*l)*(0 + 0 - 2*l).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678082 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(2*r + 0*r - 4*r) + 0*r - 3*r + 5*r + 17*r + 13 - 13.\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96055 and -39.6.\nAnswer: 3803778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 16) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-8 + 3 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -189, -184, -179, -174, -169?\n\"Answer: 5*z - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16 + 11*q - 22*q + 7*q**2 + 6*q + 6. Suppose -2*s - s = -a + 10, s - 5*a + 22 = 0. Is 14 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.53637 litres to millilitres.\nAnswer: 28536.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -344 + 1377\/4. Put -1, -0.1, -38, b in descending order.\nAnswer: b, -0.1, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - a + 15 + 22 - 3 to the form r*a + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/15*54\/36*-30. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - l**4 + 2*l**5 + (-1 + 1 - 3*l)*(-7*l**4 - 34*l**2 + 34*l**2).\nAnswer: 23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2107 = 3*c - 1088. Let m = 2290 - c. Suppose -5*u - m + 3560 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 + 428. Let y = 9.2 - 9. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14150 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) -3 (c) -5 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.055, -3\/7, 1\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10496 + 10496. Let x(n) be the first derivative of 13\/2*n**2 + 37 + s*n - 34\/3*n**3. What is the second derivative of x(o) wrt o?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (-416)\/(-40)) + 5. What is r in -y*r - 3\/5*r**3 + 0 - 6\/5*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:27 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243606 and 155022?\nAnswer: 1705242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15))**(-3\/4)\/((h\/((h\/h**10)\/h))\/h**6) assuming h is positive.\nAnswer: h**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-46.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(2*sqrt(288) + sqrt(8)).\nAnswer: sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 20. Let q be i(-17). Suppose 9*w = q*w + 132. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 330\/(-15960) - (-3)\/7. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Suppose 0 = t + 5, -g*o + 2*t + 18 = -12. Suppose 2*b - 5*c = -3*b - 25, o = 4*c. Sort -3, -1, b in increasing order.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 3. Let n be v(-3). Let c = n - -8. Sort 0.1, 0.4, c.\nAnswer: c, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*v - 7*v - 3*s, 0 = 5*v + 5*s - 150. Let z be 5\/(v\/20) - 0\/2. Suppose -340 + z = -6*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, 16, 17\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -31 in descending order.\nAnswer: 5, 3, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13249067 divided by 2?\nAnswer: 13249067\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-620)\/(-93))\/(20\/975) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 - 80*z**3 - 166*z**2 - 84*z = 0.\nAnswer: -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j**2\/3 - 20*j\/3 - 1428 = 0.\nAnswer: -63\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 424 and 10.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7135?\nAnswer: 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*p**4 - 17557*p**3 - p**2 + 452689*p.\nAnswer: -324*p**2 - 105342*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 400 - 1062. Let v = y + 4656\/7. Find the common denominator of 16\/5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501 = 5*n + 2*o, 2*n = 8*o - 3*o + 583. Let v(i) = 2*i**2 - 299*i + n*i. Let b(d) = -3*d + 0 + 0. Calculate v(b(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 + 179. Let k = -33 + o. Is -11602*4\/(-56) + k\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 323 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(2\/39)))\/v*v**6*(v*v\/(v*v*(v*v**(-2\/3))\/v)*v)\/(v*v**(1\/6)*v) assuming v is positive.\nAnswer: v**(355\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29526*t**3 - 5*t**2*u - 84511*t*u + 3*u wrt t?\nAnswer: 177156*t - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6 + g**2 - 4 - 5*g - 3 + 0. Let h be 3*2\/((-12)\/(-2)). Let f = h - -3. Give s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 4*r - 3*r + (1 - 4 + 4)*(-r - r + r) - 1 + 37*r + 1.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 916*h**4 - 7651*h**4 - 30893 + 27877 wrt h.\nAnswer: -26940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(2\/171)*(d**(2\/3))**(-47) assuming d is positive.\nAnswer: d**(-16076\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/5, 3\/5 in ascending order.\nAnswer: -4\/5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Give u(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-1848)*-112)\/(2*1\/(-36)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:20 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.59 + 22.594052. What is f rounded to four decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w**3 - 124396*w**2 - 4180896*w + 5196240 = 0. Calculate w.\nAnswer: -6186, -35, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 435317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5969, 23887, 53757, 95585, 149377, 215139, 292877?\n\"Answer: f**3 + 5970*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 10347\nAnswer: 4138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t**3 - 3*t - 23. Let s(c) = 4*c**3 - c - 8. Give -17*s(u) + 6*x(u).\nAnswer: -2*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(60) + (sqrt(360)*4)\/sqrt(6)))\/((sqrt(384)\/(sqrt(8)*-2))\/((sqrt(32)*-1 - sqrt(32))\/sqrt(8))).\nAnswer: -200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278253975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -12. Let m(u) = 6*u + 8. Let c be m(7). Let h be (-2)\/6 - c\/g. Solve 2 = -h*n + 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d + 66. Let c be f(-6). Solve 3 = j - k, 3*j - k - 6 + 1 = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1678844, 3357569, 5036294, 6715019?\n\"Answer: 1678725*h + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 57, 105, 171, 261, 381, 537?\n\"Answer: q**3 + 29*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429851 - 1085551. Round m to the nearest ten thousand.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517909971 and 1329.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-4))\/(4\/16). Suppose v*x - 224 = -4*i + x, 224 = 4*i + 2*x. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2408874, 2408879, 2408884, 2408889, 2408894, 2408899?\n\"Answer: 5*b + 2408869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152 - (-48410)\/(-309))*-30.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*o + 406137 + 182241. Is o a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, -181, -591, -1145, -1831, -2637, -3551, -4561?\nAnswer: -5655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 736, 1201, 1796, 2569, 3568?\nAnswer: 4841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:58 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2333?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - ((-1652742)\/(-2067))\/21.\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7785?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -29*z**6\/15 - z**2\/2 + 3*z + 4. What is the derivative of d(v) wrt v?\nAnswer: -232*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**7\/42 + j**6\/30 + j**5\/20 - j**4\/12 + j. Determine d so that r(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhtwhbdbu. Give prob of picking 1 h and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2570772 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(30*x**4 - 25*x**2 + 46*x**2 - 23*x**2).\nAnswer: -60*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/6 - (-1)\/(-3)) + (-2175)\/(-435).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -11 + 35. Let f be 0*(q\/(-5) - 6\/(-30)). Solve f = k - 3, 5*c - 5*k = 13 - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 75. Suppose -2*w + 1 = 5*y - 28, w + y - 10 = 0. Calculate the remainder when 10 - (v + -1 + -3) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -166, -1146, -2916, -5476, -8826?\n\"Answer: -395*d**2 + 205*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9823 is divided by 820.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/7)\/((-298)\/1043)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -2*x - 295\/12*x**4 - 94\/15*x**6 + 0*x**3 + 0*x**5 - 47 + 0*x**2. What is the third derivative of t(o) wrt o?\nAnswer: -4512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1041856)\/(-423254) - 748\/(-13)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83227778653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-13)\/3 - -4)*0. Suppose n = -2*u - 5*l + 24, 2*u - 4*l + 14 - 2 = 0. Find the third derivative of 766*w**3 - 11*w**6 - 766*w**3 + 5*w**u wrt w.\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4 + (1 - (-12)\/(-1)). Sort -1, 2, v in decreasing order.\nAnswer: 2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-9))\/(-5))\/(21\/27).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -1419 - 81. Let f = g + 353. Let u be f\/(1 + 0)*3400\/6. Round u to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - -48. Let n = -137 - f. Which is the nearest to -2\/9? (a) 3 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -33, -48, -79, -132, -213, -328, -483?\n\"Answer: -m**3 + m**2 - m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -252. What is the closest to -3 in -3, -2\/13, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(119)*-2)\/sqrt(7) + (-1 + sqrt(17))**2*-6 + -2 - (2 + -1 + sqrt(1377) + sqrt(17))*2).\nAnswer: -107 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27148 - 27144. Let n = -0.003 - 0.307. Let r = n + 0.01. Which is the second biggest value? (a) r (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*m*n - 217*n wrt m.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*9\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10 - 18*17\/765?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5496 + -5493. Solve 0 = 2*n - r*g + 19, -n + 19*g - 22*g = -4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -454 - -665. Let g = q + -210.99857. What is g rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 18*k + 40. Calculate l(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 15, x: 3}. What is prob of picking 1 x and 2 g?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from ktakatktkktkk.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2.048.\nAnswer: 0.4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 130087 = -5*d, -2*a = 25*d - 29*d + 104070. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from yqskzzvysyyzy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 39 = -3*k, 4*w - 49 - 8 = k. What is the remainder when (-3 + 1)*(-377)\/26 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -78 + 75 + 17329 + -5. What is a rounded to the nearest one hundred?\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/23, 0, -3, -51, 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.54, -25\/6, -1, -24, 5 in increasing order.\nAnswer: -24, -25\/6, -1, 0.54, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22838*n - 25169*n - 54643*n.\nAnswer: -102650*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 9. Calculate the lowest common multiple of t(-30) and 18\/(-15)*(-7 + 2).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.916 + -4.916. What is the closest to 1.7 in -1\/2, 1\/2, 4, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53152 by 44.\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 74*y - 1 = -3*d, 5*y - d + 23 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnuc. What is prob of sequence clu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3034 - 3033.5. Which is the nearest to 23? (a) 0.02 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -177812*v + 1066876. Calculate a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h + 3. Suppose 5*d = 3*d + 4. Let m(p) = p**2 - 1. Give d*m(g) + n(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 greater than 371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15155*f + 13023*f + 32297*f + 2667*f + 33212*f)*(f**3 + 0*f**3 + 0*f**3) to the form y + s*f**3 + m*f + n*f**4 + w*f**2 and give n.\nAnswer: 66044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8896613.\nAnswer: 11, 37, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + 1. Suppose 3*b = -5*g - 2*b, b = -3*g + 2. Let s be c(g). Solve -s*z = 4 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 6, 2*o - 14 = -3*o + 2*n. What is the third derivative of 91*l**2 - 3 - 87*l**o - 51*l**3 + 4 wrt l?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = 5*u - 2*x, -2*u + 5*x - 44 + 369 = 0. What is the remainder when 146 is divided by (4 - 11)*u\/(-35)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4319 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 33*f**2 - 155*f + 1321. Calculate h(-38).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 30 + (-1)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/2 - 2*a**3\/3 + 3*a**2\/2 + 3*a + 5. Let x(h) = -h**2 + 8*h - 9. Let r be x(7). Calculate b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.076 or 1850?\nAnswer: 1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*h**2 + 78*h - 78*h - 398*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6104 + -3612. Suppose 5*q - a = z + 3*q, 4*q + 12390 = -5*z. Let o = -1418 + z. Round o to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, 8\/5, -0.1 in decreasing order.\nAnswer: 8\/5, 1, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2. Let r be (-3 - -2) + h*5. Let o = 84 + -754\/9. What is the third smallest value in -1\/6, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 - (-5 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 51*y**2 + 12*y - 8*y - 46*y**2 + 102*y**2 - 4*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 783 - 2\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4762c (base 16) to base 6.\nAnswer: 10133404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, -2\/87, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8*-5*((-2)\/(-5))\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 21*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515727 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 + (5 - 18\/(-2)). Suppose 0 = -u - 5*q + 25, 16*q - z*q = u + 2. Suppose 2*k + 152 - 8 = -4*h, 0 = 5*k - u. Is h <= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*c - 137*c + 2*c**2 + c**2 + 276*c to the form o*c + n*c**2 + j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507284 = -55*w + 1539524. Is 184 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*a = 8 - 8. Solve 81*f - 74*f - 49 = a for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/d)\/(d\/d**(-5))*(d**(-1\/4))**(1\/18)*((d\/((d\/(d*d**(2\/5)*d)*d*d*d*d)\/d)*d*d)\/d**(-1))**(-3\/28) assuming d is positive.\nAnswer: d**(-8689\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25283 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, 1 d, and 1 z when four letters picked without replacement from zbzhzwzzbbbwzdj?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let w(r) = 7*r + 6. Let b(j) = j + 7. Let t be b(-3). Let y(l) = -3*l - 3. Let i(m) = t*w(m) + 9*y(m). What is i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 - 4*b. Let r = 99 - 98. Let v(i) = i**3 - i**2 + i. Determine r*p(s) + 4*v(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/187020 and -61\/90?\nAnswer: 187020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.957 and 0.5?\nAnswer: 0.9785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, -53 in increasing order.\nAnswer: -53, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 92*i**3 + 233*i**2 - 2*i**4 + 1639*i**2 + 3*i**4 = 0. Calculate i.\nAnswer: -36, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -54, -31, 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260956 and 6?\nAnswer: 782868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfyyyytyt. What is prob of picking 1 y and 1 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/210 - l**6\/135 - l**5\/30 + l**4\/9 + 4*l**3\/3 - 7*l**2. Let h(v) be the first derivative of i(v). Factor h(g).\nAnswer: 4*(g - 1)*(g + 1)*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 12*a + 9*a)*(-a + 5*a + a)*(-2 + 2 - 2).\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 11*y + 16. What is the highest common divisor of 40 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:37 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 1421 = l, -2837 = -2*l - 3*j. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11863212, 11863210, 11863208, 11863206, 11863204, 11863202?\n\"Answer: -2*k + 11863214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**3 - 23*c - 24. Let y(i) = 7*i**3 - i**2 - 22*i - 23. Let b(h) = -6*q(h) + 7*y(h). What is b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**3 - 8*o**2 + 28*o + 155. Determine m(-5).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2827? (a) -1\/5 (b) -135\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337523791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-42))\/(-4*42\/112).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 1763*u**6\/120 - 2107*u**5\/60 - 11*u**2 - 31. Find the third derivative of w(j) wrt j.\nAnswer: 10578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25 - -29) + 23\/(-5). Let k = 1.55 - 1.35. What is the closest to -2 in k, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 26*o = 872*n - 6084, -3*o + 5*n = -8 + 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 179325515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34750781 is divided by 5299.\nAnswer: 5238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567495 less than or equal to 2567495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240 + 242. What is the remainder when 68 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*g**5*o**2 - 2106*g**4*o**2 + 159468*g**2*o**2 wrt g?\nAnswer: -2340*g**2*o**2 - 50544*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 68*f**2 - 1398*f - 3528.\nAnswer: 2*(f - 49)*(f + 3)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l - 13*l - 28*l as p*l + g and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180853 - 9*o**2 - 60291 - 60272 - 60290.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - z. Let u = 15 + -9. Let q be u\/(-4)*4\/6. What is j(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*m + 15, -93*d - 4*m + 11 = -88*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50 - -55) + 7\/(-2))*(-12)\/9. Let o(x) = 16*x**3 - 11*x**2 - 9*x + 21. Let s(r) = -3*r**3 + 2*r**2 + 2*r - 4. Calculate n*o(c) - 11*s(c).\nAnswer: c**3 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -140379b (base 12) to base 13\nAnswer: -a98053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43296 and 4264.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/((-171)\/(-76))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -958*d**4*n*p - 7*d**4*p - 202*d**3 - 93436*d**2*n - 3*d*n*p - 3*d*n - d*p wrt d.\nAnswer: -22992*d*n*p - 168*d*p - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 - 12*t + 46. Let l be n(9). What is the greatest common divisor of 5824 and l?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/8)\/(-5)*12\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 25*x + 4*x = -230 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -48447 to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 12 + 3, -5*g - v = -13. Let j be 5\/(1\/g + 0). What is the remainder when ((-150)\/(-20))\/(3\/j) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3 - (-12)\/8). Let y be 90\/(-3)*9\/(-6). Let s be (y\/12)\/(3\/8). Solve -4*q - 2*n - 24 + s = 0, q - n + f = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408187823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.06 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30907967010 plus 1?\nAnswer: -30907967009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 57, 109, 179, 267, 373, 497?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a1 + 0?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29465882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*m - 712*m = 369*m - 58672 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 5*h + 4 + 4. Let q be c(-8). Solve q*n = 4*u - 3*n + 28, 0 = -2*u - n - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q - 9. Let s be l(12). Calculate the common denominator of (-2)\/(-2)*33\/s and -9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 7) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o**3 + 7*o + 8 - 6*o - 10*o**2 + 3*o**3. What is the tens digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let m be (k\/(-6))\/((-2)\/24). Suppose 4*j - z = 10, 4*j - 19 = j - 5*z. Solve 3*x + j = -4*d, 2*d - 1 = -5*x - m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2339567 rounded to 2 decimal places?\nAnswer: -6.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 11. Let s be (0 + 0)*(-1)\/1. Let x = 0 + s. List the prime factors of h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 153 + 17*a)*(0 + a**4 + 0) + 0*a**5 - 3*a**5 + 0*a**5.\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 10*i**2 - 17*i + 6. Give v(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1461. Determine h(-78).\nAnswer: 1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739664255.\nAnswer: 5, 11, 67, 200723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -13150 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i - 2*k, -2*i + 6 = -4*k - 0. Let j = -1 + i. Suppose 0 = -j*s + 37 + 51. Calculate the highest common divisor of s and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = d - 3*d. Let i be 458\/10 + 6\/30. Let s = i + d. What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*s - 34*s - 37*s + 88*s.\nAnswer: -71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 5 - (-28 + 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*5*((0 + sqrt(605))*2 - (-4 + sqrt(605) + 0)).\nAnswer: 58 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728143101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 19. Let w be h(-11). Sort -4, w, 0 in decreasing order.\nAnswer: 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**4 - 3965*q**3 + 86445*q**2 + 1656665*q - 27577550 = 0.\nAnswer: -19, 13, 29, 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 12) in base 10?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13)*510\/(-425).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2\/3 + 2401310*o\/3 + 288314485805\/3 = 0. What is o?\nAnswer: -240131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -t - 40, 6*p - 5*p - 3*t + 20 = 0. Which is the nearest to 1? (a) p (b) 2\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3135 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (17 + -15 + -13 - 21) - 6\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -61*i - 4. Let w be x(2). Let a = -87 - w. Is 6 a factor of (-2)\/13 + 669\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b - 3. Let h(o) = o**2 + o. Let l be h(b). Suppose j = -l + 2. Which is smaller: -1\/4 or j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 677358 and 2556.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x - 4. Let l be r(1). Suppose 0 = 3*b - l*b - 1. Let n = 2 - b. Sort n, -1, 7 in descending order.\nAnswer: 7, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 22561*p. Let z(n) = 4*n + 4. Give z(u(y)).\nAnswer: 90244*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.6 * -0.3.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56637464 and 1.23.\nAnswer: -56637462.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*2 + (sqrt(13) + (sqrt(39)\/sqrt(3))**2)*3 - ((sqrt(13) - 1*sqrt(13)*1)**2 + sqrt(13) + -5).\nAnswer: 8*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (281 - 250) + (-36 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j + 23. Let b be a(6). Let q be ((0 - 1)*b)\/1. Solve 0 = -4*l + 3*l - q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let n(t) = t**2 + 10*t + 13. Let a(i) = -n(i) + 2*q(i). Let w be a(-5). What is the tens digit of w - (-3 + 2 + -47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -338*s**6 + 2*s**2 - 261*s wrt s?\nAnswer: -40560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18216)\/(-45) + 6 - 3\/(-15)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 - 9\/5.\nAnswer: (u - 3)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 + 46778248*z**3 - 364700778843744*z**2 + 947781709586618977760*z - 1895561960370496806496 = 0.\nAnswer: 2, 7796374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9283582, -18567267, -27850952, -37134637, -46418322?\nAnswer: -55702007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 18*a**2 + 9*a + 10. What is g(-4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 2*u + 1. Suppose -1 + 3 = -2*p. What are the prime factors of c(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70089363 is divided by 286079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) + -2)*3 + sqrt(2057) + -1)**2.\nAnswer: -210*sqrt(17) + 3874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 43. Suppose -3*y + 24 = -m - 4*m, 0 = -3*m - 9. Solve -2 = v, -y*g = -p*v + 3*v - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 63*s. What are the prime factors of l(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a + 3bb?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2181971022 to the nearest integer?\nAnswer: 46712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i)\/((i**(-10\/3)\/i)\/i) assuming i is positive.\nAnswer: i**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + 1\/(-3). Let d(x) be the third derivative of -11*x**4\/8 - x**3\/6 + x**2. Is d(l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*h**2 + 9*h**2 + 7*h**2)*(-10499 + 21001 - 10496 - 15*h) in the form z + r*h**2 + d*h**3 + p*h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1535*y - 4640*y + 1803 + 1540*y + 1553*y as g + m*y and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -624, -562, -364, 48, 752, 1826, 3348?\n\"Answer: 13*h**3 - 10*h**2 + h - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p\/p**0)\/p)\/p))\/(p\/p**(-1\/2))*(p\/((p\/p**(-2))\/p)*p)\/p**(1\/6) assuming p is positive.\nAnswer: p**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067849428 rounded to five decimal places?\nAnswer: 0.06785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242\/237 + 28\/79. Which is the second biggest value? (a) 35 (b) z (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 8*h - 1167 = -1329 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/315)\/2*-5. Let u be ((-6)\/(-3))\/4*6. Which is the second biggest value? (a) u (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4253.89043 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 42*a - 681. Calculate b(3).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47549 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 27. Calculate x(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 5*u = -7*z - 120, 4*u = z - 29. Suppose -10*f = -55 + z. Let w be (-18)\/20 - 2\/(-5). Which is the closest to 2? (a) f (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2*i**2 - 5*i**2 + 21*i**2 - 9*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25884 and 28638?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a + 16. Determine r(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 27 + 27)*(-120 - 2*n + 46 + 25) as u*n**2 + d*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p + 10. Let v be -2 + 6\/(-4)*p. What is the tens digit of 4 + -2 + v - -58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.884807km in meters?\nAnswer: 8884.807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 1072?\nAnswer: 11792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863027 is divided by 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhllhllhlhlhhhl.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**7\/x)\/x))\/(x*x*x**(-1\/6)*x)*x\/(x*x**(-1\/7))*x\/((x\/x**(-1\/9))\/x*x*x)*(x**(-3)\/x*x**(2\/3))**(15\/8) assuming x is positive.\nAnswer: x**(-3541\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9017 is divided by 9012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 3*v - 9. Let j be a(-9). Suppose j = 4*z + 36. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2292*m = t - 2287*m - 3, 4*t + 2*m = -6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 42. What is the nearest to i in 1, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 1 = 4*n - 17, 0 = 4*n + 3*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81987.88g to nanograms.\nAnswer: 81987880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6595*g*s**3 - 7480*g*s**2 wrt s?\nAnswer: 39570*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4562.998 equal to -1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -314, 12, -1, 1.\nAnswer: -314, -1, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-1) + (6 - 10). Let j(n) be the second derivative of -1\/4*n**4 + 0 + 0*n**3 + 1\/10*n**5 + h*n**2 - n. Find the third derivative of j(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/78 and 17\/165.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1690694?\nAnswer: -1690699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*i**4\/5 + 48112*i**3\/5 - 514506*i**2 + 1277246*i\/5 - 31856 = 0. Calculate i.\nAnswer: 1\/4, 55, 1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyq when three letters picked without replacement from {e: 1, m: 1, i: 3, q: 1, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*b - 255, -2*m = -3*m - 3*b + 45. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*b + 131. What is the greatest common factor of b and 2875?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.870143 millennia to months.\nAnswer: 118441.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1610 and 8250?\nAnswer: 1328250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezzeeyeeeye. What is prob of sequence ye?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.92843, 5, -0.3, 4, 2 in increasing order.\nAnswer: -0.3, 0.92843, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**5 - 295*q**4 - 1595*q**3 - 425*q**2 + 6630*q + 5760 = 0.\nAnswer: -3, -1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11772123?\nAnswer: 3, 11, 356731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 4*g - 1 + 13 = -q*d, -2*d = 8. Solve g = -n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 16, 2*a = -5*u - 0*u + 8. Suppose -v = 5*s - 46 - 71, 2*s = -v + 45. What are the prime factors of u - (3 - (2 + s))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12773 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1819854 and 79\/1280638?\nAnswer: 34577226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -244 + a**2 + 2*a**2 + 189 in the form g*a**2 + t*a + c and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1309680 and 1527960.\nAnswer: 9167760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 3. Let n be r(-6). Suppose l - 79 = 3*a, -n*l + 143 = -2*a - 73. Calculate the highest common factor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 621, 622, 633, 660, 709?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:10 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -517128766156\nAnswer: 517128766152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1111?\nAnswer: 1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 441*k + 1\/3*k**3 - 21*k**2 + 57. Determine f so that r(f) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -2, 1\/4, -1\/13, 225?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -118. Solve -z = z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21239836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/24 - 14\/(-3). Suppose -3*r - q*f + 32 = 0, 9 + 19 = 3*r + 2*f. What is the remainder when 21 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -4*h, -9 = 5*h - 2*h. Let g(f) be the second derivative of f**4\/12 - f**3\/3 + f**2\/2 + 9*f. Does 4 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = 11. Let f = 17 - r. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534915169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 26 + 1 = 0. Suppose 0 = -4*i - 0*i - s*b - 21, -12 = 3*i + 3*b. Solve 1 = t - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - ((4 - 3) + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4769 - 35943*h**5 + 35944*h**5 + 8)*(4 + 8 - 7).\nAnswer: 5*h**5 - 23805","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 39479 divided by -76\nAnswer: -39479\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -2.935057071028.\nAnswer: -2.985057071028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2656*m**2 - 24246 + 24246 - 2664*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 6 + (-9 - ((1 - 10) + 3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1563? (a) -10 (b) 226 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -19, -30, -57, -106, -183, -294, -445?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2698, -5322, -7946, -10570, -13194, -15818?\n\"Answer: -2624*b - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373326.\nAnswer: 2, 3, 43, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22 - (-9139)\/416)\/(2\/(-16)). Let k = 5.08 + -5. Let m = 3.08 - k. What is the closest to y in -2\/9, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6869101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 less than -0.5?\nAnswer: -180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/2194935 and 92\/238005.\nAnswer: 19754415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 626568.7 litres in millilitres?\nAnswer: 626568700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88162 + 13860.\nAnswer: 102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*5*(-294)\/10. Let r = k + -1031\/7. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*l - 13, 0*l - l - 9 = -3*n. Suppose n*v + 38 = 5*w, -4*w = -4*v - 46 + 14. Let x = 2 + 0. Calculate the highest common divisor of x and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2*b**3\/3 + b**2 - 2. Factor t(i).\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.557 + -244.443. Let l = 428 + o. Let v = l - 182.819. Round v to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*s, -13794*l - 2*s = -13799*l - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - q + 12, 4*w = w - q + 16. Suppose 114 = w*y - 46. Suppose -5*p + 35 = 2*z, 0*z - 3*z + y = 5*p. Solve 2*b = z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + a = 132, 3*t = 5*a + 404. What are the prime factors of t?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (0 + sqrt(99) - sqrt(99))) + 1)**2*5.\nAnswer: 30*sqrt(11) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + 5. Let y(p) = -3*p - 2. Let j = 213 + -204. Give j*y(o) + 4*i(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, -0.5, 0.1, -0.235, -0.1, -0.03, 1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -329*i + 1967. Does 28 divide r(-61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h**2 - 3 + 3)*(-2*h**2 - h**2 + 2*h**2) + 7*h**4 - 6*h**4 + 7*h**4)*((-2 + 5 - 2)*(-1 + 1 - 1) + 0 + 4 - 6).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -8475, -3, 0.056?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 172.\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1670250 * 335\nAnswer: -559533750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14095974, 28191947, 42287920, 56383893, 70479866, 84575839?\nAnswer: 98671812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**3 + 17*x**3 - 24*x**3 + 24*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124207, 496815, 1117829, 1987249, 3105075, 4471307?\nAnswer: 6085945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 264, 249, 210, 135, 12, -171?\n\"Answer: -2*g**3 - g + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -97323 divided by -98\nAnswer: 97323\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 6. Let y(c) = 2*c + 5. Let t(i) = -5*a(i) + 6*y(i). Let k(q) = 18*q**2. Calculate k(t(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*l - 21 = -0, -7 = 4*u + 5*l. Suppose 2*p - 5*p = -5*b + 14, 0 = -2*p - 4*b + 20. Let t be (3\/p)\/(14\/52). Is u less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 925*p - 345*p + 27040 = -1086*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.48? (a) 1\/4 (b) -0.3 (c) 62\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*x - 4*w - 7, -5*x + 3*w = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**4 + 0*a**5 + 1\/6*a**7 + 6*a - 2\/3*a**3 + 0 + 0*a**6 + 0*a**2. What is the second derivative of y(n) wrt n?\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*27\/(-27)*6\/126?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*j - 2*i - 97, -5*j = -5*i - 415. Suppose -j = -3*g + 147. What is the highest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -90*i - 3513. Let u be w(-39). Let f(m) = 21*m + 1. Let t(q) = -21*q - 2. What is u*f(j) - 2*t(j)?\nAnswer: -21*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7701 and 26979.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486741428 to the power of 1\/2, to the nearest integer?\nAnswer: 38558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4605367 + 1708254. Suppose 3*d + i = 26413621. What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.965836 centuries to decades.\nAnswer: 9.65836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + 11. What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 + l**3)*(0 + 4 - 3) - 54 + 18*l**3 + 54.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*f**3*x*y - 44*b*f**2*y + b*x + 4*b - 70*f**3*x*y - 2*f**3*x + 12*y wrt b.\nAnswer: -f**3*x*y - 44*f**2*y + x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97192, 97192, 97190, 97186, 97180, 97172, 97162?\nAnswer: 97150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*s*y**2 - 12*s*y + 22*s + 14*y**2 wrt y?\nAnswer: 38*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-54.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -s - 2 + 10, 2*o + 6 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*-467)\/(-3 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.67. What is the nearest to 0 in w, -3\/4, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -18*c - 33\/2 - 3\/2*c**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 640580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/(2\/6). Let w = -1523 + 1518. Sort w, h, -14 in decreasing order.\nAnswer: h, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/13)*d)**(16\/7))**(28\/9))**(-14) assuming d is positive.\nAnswer: d**(-25088\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**7\/70 + r**4\/24 - r**2\/2 + 2*r. Let h(m) be the first derivative of y(m). What is the second derivative of h(g) wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -611, -602, -605, -626, -671?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2\/(-4))*(211 - 7). Let m = 170 - a. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 100. Let d(c) = -c + 6. Let f be d(5). Let b(l) = l**3 - 2*l**2 + 2*l - 1. Let r be b(f). What is the tens digit of z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012112 (base 3) to base 14.\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*r + 78*r + 120 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**3\/5 - 96*z**2\/5 - 219*z\/5 + 84\/5.\nAnswer: -3*(z + 4)*(z + 7)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 15 + 87 = 0. Suppose -21 = 3*j + 24. Let c = -1 - j. Calculate the least common multiple of h and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 393 - 393 - 34*z in the form w + x*z and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7492*h**4 - 6*h**3*q + 128*h**2*q - h**2 - 6*h*q + 3 wrt h.\nAnswer: -179808*h - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 963354 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 12. Let z be b(5). Let v = z - 0. Let i = 403 - 402. Calculate the smallest common multiple of v and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17727 - -18379. Solve x*z = 642*z - 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.7 (b) 14 (c) 1\/4 (d) 2 (e) -0.054 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 163 = -497. What is the remainder when 30 is divided by (-3)\/12 - g\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5\/4 + d**4 + 17*d**3\/4 - 3*d**2\/2 = 0.\nAnswer: -2, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-13 + -9 + 15 + -2 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54576 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2397 - 1393. Suppose z = -41*a + 45*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*b - 60*b + 5475 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*z - 3546, q = -15*z + 14*z + 894. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m**2 + m**2 - m**2)*(4 - m - 4) + m - m - 2*m**3)*(2 + 4 - 2).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(6)\/sqrt(3) + 3 + sqrt(2)*1 + -2 + 2)**2.\nAnswer: 28*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -0.008, -2\/11, -2\/945, -0.12, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 4. Let z be s(3). Let k = -40 + z. Suppose 38*f - 156 = 72. What is the lowest common multiple of k and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 3. Determine z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)*3 - -72 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15545, 31527, 47509?\nAnswer: 63491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 2*n**2 - 3*n. Let k be p(-2). Let v be k\/(-2) + 3\/1. Suppose -l + 7 - 2 = v. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -56*y**2 - 5*y. Let v(w) = 3*w. What is t(v(o))?\nAnswer: -504*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 119064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -13. Suppose -t + v = 1. Solve -5*r = -t*p + 14, 2*r + 5*p - 2 = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 60495?\nAnswer: -1\/20165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 82336358.\nAnswer: -1\/41168179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 530564 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1216) - (-1 + sqrt(1216))) - (0 + sqrt(1216) + 4))*3 - (5*(2 + sqrt(1216)) + (sqrt(1216) - (-1 + sqrt(1216))) + 2))**2.\nAnswer: 3200*sqrt(19) + 78449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 858 = -44*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 12*a - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1. Let h(q) = 2*q + 8. Let d(g) = 3*c(g) - h(g). What is d(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/35*v**5 + 0*v**2 + 0 + 2\/7*v**3 - 3*v - 4\/21*v**4. Factor x(s).\nAnswer: 4*s*(s - 3)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -707, -2858, -6435, -11444, -17891, -25782?\n\"Answer: -z**3 - 707*z**2 - 23*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(336) + sqrt(336))\/sqrt(3).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**3 - 3*w**3)*(-3*w**2 - w**2 + 5*w**2) - 3*w**5 + 3*w**5 + 2*w**5 - w**3 - w**5 + w**3 + (-4 - w**2 + 4)*(11 - 11 - 4*w**3).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1191417, -1191378, -1191339?\n\"Answer: 39*d - 1191456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 - 98*g**2 + 41*g + 22. Determine y(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 4, 2, 377, 14, -5 in descending order.\nAnswer: 377, 14, 12, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 + 0.24. Which is the nearest to 1\/2? (a) u (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 79*i - 707. Determine m(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**4 - s**3 + s**2. Let c(y) = 15*y**4 + 9*y**3 - 3*y**2. Let x(z) = c(z) + 3*j(z). Factor x(q).\nAnswer: 3*q**3*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.391*-4\nAnswer: 5.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606333*a**2 - 674018*a**2 + 1280352*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkhsskihkhisksissi. Give prob of sequence ssh.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5146650 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllhlqqsqqshsllb. Give prob of picking 1 s and 1 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c + 3*y = -166, 4*y - 223 = 5*c. Let s be (-24)\/40 + c\/(-55). Put 30, s, 5 in increasing order.\nAnswer: s, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*o + z + 18, -2*o - 2*z = -18. Suppose -2*d = -o*d - 96. Let k be 38\/(-8) - (-6)\/d. Sort -3, k, -0.15.\nAnswer: k, -3, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75 + 150?\nAnswer: 152.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 59 (c) -4 (d) 0.3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:11 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.1 - 64. Sort -1\/6, w, -4 in increasing order.\nAnswer: -4, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 - 2*r + 4. Let w be l(3). Suppose -3*y - 2*y = -w. Let s(k) = k**2 - 4*k + 5. List the prime factors of s(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1569128 and 76714?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 7*t**2 - 11*t**2 + 2 + 11*t**3 + 2 - 13 to l*t**3 + a*t**2 + h + x*t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 17}. What is prob of picking 3 b?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*f*s*z**2 - 2*f*w*z**2 - 19*f*w*z - 3*f*w + f*z - s*w*z**2 + s*w - 2*s + 121*z**2 wrt z?\nAnswer: 44*f*s - 4*f*w - 2*s*w + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/56 + (-4439)\/184 + 24\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 38335.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, o: 1, v: 2}. What is prob of sequence vio?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t)**9)**(5\/2) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:30 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 46. Calculate the remainder when 91 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v + 496 + 499 - 998.\nAnswer: 30*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (34462\/(-10) + -3). Let n = 3436 - g. Find the common denominator of n and (-9)\/3*4*2\/(-396)*-9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76001 is divided by 25112.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*k - 2*t, 0 = 3*k + 2*k - 4*t - 22. Suppose -h - 15 = -k*h. Solve 5*u = 3*r - 3, u + h*r + 9 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1 - sqrt(1539))**2 + (0 + sqrt(2299))**2 + sqrt(2299) + ((-1*sqrt(76))\/sqrt(4) - ((sqrt(76) - sqrt(76)*-2) + sqrt(76))\/sqrt(4)).\nAnswer: 6*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let f(j) = -2*j - 1. Let t be 6*(-4)\/(-8) + -5. Let x(d) = d + 1. Let h(u) = t*f(u) - 2*x(u). Give h(p(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - 5*k**2 + 2*k**2)*((-2 - 1 + 1)*(3*k - 3*k - 6*k) + 16*k - 18 + 18)*(0*k - k + 2*k) to g*k**4 + s*k + y*k**3 + f*k**2 + p and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 61. Solve -3*m - 3*y - 12 = 0, m = -y + 2*y + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6832 - 4*v**2 + 6827 + 6*v**2 + 95*v to j*v + z + s*v**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -82. Is n at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.14 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/3, -0.3036, -30, -1 in increasing order.\nAnswer: -30, -3, -1, -2\/3, -0.3036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 49840*d - 498800.\nAnswer: 4*(d - 12470)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0640226 to four decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 460601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.9, 5, -0.5, -7, 0.4 in increasing order.\nAnswer: -7, -0.5, 0.4, 5, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let n be 5\/4*-22*(-8)\/44. Let v = -11 - -10.9. What is the closest to 0.1 in v, n, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -5, 0.4, -1\/4, 1, 0, -32 in increasing order.\nAnswer: -32, -5, -1\/4, 0, 0.4, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:31 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 17. Calculate the remainder when (40\/6)\/((-2)\/(-6)) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6938*b - 6935*b + 3*r - 12 = 0, -5*b + 2*r - 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -729 + 647. Let q be (-6)\/(-21) + 1779\/21. Let n = r + q. Solve -n*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 times 0.4?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -49, -82, -133, -208, -313, -454, -637?\n\"Answer: -f**3 - 14*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 57 = 45 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 17 - 32 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.03 (b) -66 (c) -0.2 (d) 4 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + 12*x + 7*x**2 + 42 + 18*x + 12*x.\nAnswer: 7*x**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35117 - 8154. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 289, 387, 485?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9167.975 days in microseconds?\nAnswer: 792113040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let n(q) = -2*q**2 - 418197*q + 2. Give n(z(i)).\nAnswer: -2*i**4 - 418197*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-110)\/(-30)) - -1. What is the greatest common factor of 988 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 45 = 945. Let s = -219 - -366. Suppose 0 = -6*b + s + 33. Calculate the greatest common factor of k and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Suppose -5*d + 0*z = -3*z + 31, -d + 5*z = 15. Let s be 5\/(d\/(-2)) + 0. Suppose 2*f = f + 3, -s*c - 3*f = -33. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 86237?\nAnswer: -17247.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16523 is divided by 346?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*o**2 - 2)*(0*o + 0*o - 2*o) - 70*o**2 + 2000*o**3 + 47*o**2 + 29*o**2 to q*o**3 + w*o + t*o**2 + i and give q.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a - 4*a. Suppose 24*x = a*x + 39006. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2*h**2*j - 19*b**2*h**2 + 6*b**2*h*j + 3*b*j - 2*b + 5*h**2*j - 3*h**2 + h*j + 5 wrt h.\nAnswer: 10*b**2*j - 38*b**2 + 10*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 - 168. What is the greatest common factor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-309)\/103*-4*(-4)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (12 + -18)) + (32 - 57).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c - 68. Suppose 4*l + 3*a - c = 15, -2*a - 2 = 0. Suppose 0 = -j - 3*j + 256. What is the highest common divisor of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(17\/4)\/(t*t**(-11\/6)*t)*(t\/t**(-7))\/(t\/t**(5\/9)))**(-5\/3) assuming t is positive.\nAnswer: t**(-2095\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d - 5*u + 27, 3*d + u = 16. Solve -4 + d = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5\/7 + 2817*p**4\/7 - 60138*p**3\/7 + 328380*p**2\/7 + 55800*p\/7 - 1728000\/7 = 0.\nAnswer: -960, -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**2 - 353 - 2*x**4 + 186 + 55*x**6 + 188 wrt x.\nAnswer: 6600*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 4:00 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.9 - 10. Which is the smallest value? (a) z (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3*2141\/124178.\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/2 + 3*b**3\/2 + 2223*b**2 - 2. Let c(z) = z - 8. Let g(w) = -4. Let q(m) = -6*c(m) + 11*g(m). Give -9*q(n) + 4*u(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 + 122873613*b**2\/8 + 78635021012667*b\/2 - 19658757173067\/2.\nAnswer: 3*(b + 5119734)**2*(4*b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30089821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/14 and 13\/4*44\/99.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 114 = -8*s, j - 3*j = s + 23 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82a9b - -153?\nAnswer: 82bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230 + 231 - 27*k - 461)*(3*k**3 + 3*k**3 - 3*k**3).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, 403, 68 in ascending order.\nAnswer: -24, -4, 68, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -3. Factor 0*g**2 + 12*g**5 + 5*g**4 - x*g**5 + 0*g**4 - g**2 - g**3.\nAnswer: -g**2*(g - 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stsdomstbsob. What is prob of sequence botd?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1097*c + 1097*c - 2*c**2 + 48*c**3 + (-2 + 2 + 2*c)*(c**2 + 2*c**2 - c**2).\nAnswer: 52*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmfmmmmmmffm. What is prob of picking 1 f and 3 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2904*m**2 + 269*m + 5564732 wrt m.\nAnswer: 5808*m + 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -107*g - 11. Suppose -6*w - 59 - 46 = -69. Let b(p) = 53*p + 6. What is w*q(n) - 11*b(n)?\nAnswer: 59*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 438 + -230. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1536\nAnswer: -1\/1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.8 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = -0*y. Let k(i) = 0*i**2 - 4 + 15*i**2 + y. What is the tens digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 7*r - 16. Let y(o) = o**2 - 6*o - 12. Let b(f) = 3*i(f) - 4*y(f). Let u(z) = -4*z**2. What is u(b(d))?\nAnswer: -16*d**4 - 48*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 5*a**2 + 2*a - 2. Let m(t) = 2*t**3 + 4*t**2 + 2*t - 2. Determine -5*m(s) + 4*n(s).\nAnswer: 2*s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41980000 rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c + 4. Suppose -5*v = -1 + 16. Let p be a(v). Solve g = -3*g - p, -5*g = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -52, -62, -54, -22?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -6.01. Let u = -10 - r. Let b = -4.00063 - u. What is b rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/11 (b) 480 (c) 173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284445169 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1170471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -7*b**2 + 0*b**6 - 7\/30*b**5 - 2\/105*b**7 + 0*b + 1\/8*b**4 - 3\/2*b**3 + 0. Find the second derivative of u(n) wrt n.\nAnswer: -48*n**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.18 or 1.32278?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/44031 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/24 and 49\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 251, 3\/2, 0.2, 454?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 305 - 2*c - 305 + 2*c**3 + c as v*c**3 + s*c**2 + x + a*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2042? (a) -0.892 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 886339 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: Which is smaller: 0.021814 or 937?\nAnswer: 0.021814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/45821, 1\/4, 10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 446, 71, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006610163 to 7 decimal places.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/360819 and -59\/117714?\nAnswer: 16597674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/5*(-8)\/2496*12.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Let i(w) be the third derivative of -w**7\/1260 - w**4\/8 + w**2. Let o(b) be the second derivative of i(b). What is x(o(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 + 42*p = 0. What is p?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-14)\/(-8))*12*(-1050)\/240.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*f - 4, 2*n = -3*f + 13 - 2. Let m(p) = 9*p - 3. Let y be m(2). Suppose t = n + y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*u + 28*u + 62*u - 32*u - 26*u - 602 to the form w + v*u and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 183?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.046 - 0.046. What is the nearest to 1 in o, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598560 divided by 8568?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. Let l be (3 + z)*(-2 + 1). Which is the closest to l? (a) 0 (b) 0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -12*x + 10*x - h, 5*h = -x + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/22 and 16\/785477.\nAnswer: 1570954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 16*a + 53. What is v(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*o - 110, -3*c + 4*o - 14 = -5*c. Let j = c - 19. What is the units digit of 1*(-2)\/4*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooy when four letters picked without replacement from ooyooooyyyooyooo?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + h + 20 = -74, 2*o + 2*h = 40. Suppose -2*c = -23 + o. Let f(x) = 21*x**3 - 2*x**2 + 1. Is 23 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.26 (b) -0.1 (c) -2 (d) -1\/4 (e) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69b95 (base 16) to base 13.\nAnswer: -122152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2017334091677 and -4.\nAnswer: -2017334091681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(1100) - sqrt(1100)*2)*-6 + (-1 + sqrt(1100))*5)*5)**2.\nAnswer: -16640625 + 137500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9 + (175\/63)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151527 and 2?\nAnswer: 151525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 39*r = 37*r, 4*i - 3*r - 4 = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -912713.\nAnswer: 2\/912713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3 - 4 + 6*s**3 + 2 + 7 - s**2 - 3*s. What is the smallest common multiple of y(2) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -39 - (4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -39. Let t be o*-3 + 6 + 1. Suppose 2*s = m + t, 7 = 5*m - 3*m - s. Solve -m = 2*v - 0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - 4*u**2 + u**2 + (0 + 0 - 2*u)*(-5*u + 2*u - u) + (3 - 2*u - 3)*(2 - 2 + u) + 9*u - 9*u + u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -837\/2 - -1607\/4. What is the common denominator of 73\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 1586*z + 15963. Determine m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -50918.73338 to the nearest 10.\nAnswer: -50920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-2\/9)\/p))\/(p\/p**(-1\/2)))\/((p\/p**(-10))\/(p\/(p**(-1\/20)*p))))**23 assuming p is positive.\nAnswer: p**(-42343\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63, 250, 567, 1020, 1615, 2358?\n\"Answer: h**3 + 59*h**2 + 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkx when three letters picked without replacement from {k: 3, u: 1, x: 11, z: 2, q: 2}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2. Let d(p) = -5*p. Let x(u) = u - 21. Let o be x(16). Let k(y) = 5*y. Let n(t) = o*d(t) - 6*k(t). What is n(r(c))?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 2*s = 14, 4*d = -3*s - 1. Let j be (-40 + 6)*2\/d. Suppose 5*b - 408 = 2*b. What is the greatest common factor of j and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/1330*10\/(-4))\/((-9)\/54)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 3*v**2 + 4*v + 5. Suppose -3*w - 54 = 3*q, -5*q - 77 = -2*w - 1. Let r = 20 + q. Let l be m(r). Put l, 2, 4 in descending order.\nAnswer: l, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/3059344 or 0?\nAnswer: 7\/3059344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - 3. Let r be (48\/(-9) - -4)*v. What is the second derivative of 11*d**r - 9*d**4 + 9*d**4 - 15*d + 5*d**4 wrt d?\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - -4 - (42 + 6715\/(-272)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0157858 centuries?\nAnswer: 0.00157858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (6 + -14 + 7) - (4 - (-1 + 6)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -10, -2, 2?\n\"Answer: -2*u**2 + 18*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(325) + 0 + (-3 + sqrt(325))*1 + sqrt(325))**2.\nAnswer: -60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 26*z. Let k be ((-1)\/(-2))\/(20\/16 - 1). Suppose k*c - c - 4*s - 80 = 0, -5*c + 3*s = -383. Let a(m) = 76 + m - c. What is a(i(t))?\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 8*y**2 - 10*y + 8. Suppose 11 = 5*w - 4, 0 = g + 5*w - 24. Let j be l(g). Let o(t) = -4*t**2 - t. What is o(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r - 2*r)*(-r - 2*r + 0*r) + 5*r**2 + r**2 - 5*r**2 + (-6 - r + 6)*(2 + 2*r - 2) to the form y*r + c + o*r**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 88327 + 88264 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*s**4 - 898*s**3 - 165*s**2 + 67 wrt s?\nAnswer: 312*s - 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189*o**4 - 8*o**2 - 39.\nAnswer: 4536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 13 = 4*q - 6, -2*n - 3*q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*i + 9 = -15, -4*i + 17 = -l. Let z be (-1)\/30*(-1)\/(12\/20). What is the second smallest value in z, -1\/4, l, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1478514 by -62.\nAnswer: -23847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31860618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8374\/7095 + 1\/645. Let u = 407 + -2007\/5. What is the common denominator of u and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -937, 859, -4 in increasing order.\nAnswer: -937, -4, 1, 859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26221583 - -0.04?\nAnswer: -26221582.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 12*p - 28. Let o be h(8). Let x(i) = 3*i + 2. Let r(q) = -q - 2. Let a(y) = 2*r(y) + x(y). Calculate a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 37. Suppose -5*t + 4 = -1. Let u be t\/2 - 44\/56. What is the nearest to v in 2\/5, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**2\/7 + 2444*p\/7 - 4904\/7 = 0?\nAnswer: -613, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*4*6 + (sqrt(136) + (sqrt(136) - sqrt(136)*4))*4)\/(sqrt(8)*-2*-5 + -6*sqrt(128)).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let k = 17 - 14. Let p be ((-92)\/(-36) - k)\/2. Which is the nearest to p? (a) z (b) -3\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-12) - -7) + 48. Solve -183 = 40*a + m for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -39.03\nAnswer: -4.2933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/5)\/i*i\/i**(-6) assuming i is positive.\nAnswer: i**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-18) + (-129800)\/(-74340).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 7*l. What is the units digit of v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17675348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10925008, 10925007, 10925006, 10925005, 10925004?\n\"Answer: -j + 10925009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:16 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 9612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-11))\/h**28)**(1\/51) assuming h is positive.\nAnswer: h**(-38\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:42 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 - b - 1. Let l be (12\/15)\/(2\/(-5)). Let u be o(l). Let c = 93 + -56. Solve -4*g + 4 = -u*w + c, 4*w - 26 = 3*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u**(-2\/5)*u)\/u*u)\/u))**(-27) assuming u is positive.\nAnswer: u**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*a + 95 + 282 = -1009 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171248*j**5*z + 31871*j*z + 3*z wrt j.\nAnswer: 3424960*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**2\/p)*p**3\/p)**(-1\/3) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Let n(j) = -4*j + 16. Let u be n(5). Which is the third biggest value? (a) -1 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.25 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 12. Let d(w) = 7*w - 24. Give -2*d(y) + 5*z(y).\nAnswer: y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-6)*12\/(-14). Let v be -6 + 5 - (m - (2 + 10)). Put 0, -1, v in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 5*j**2 - 1 - 37 + 4.\nAnswer: 5*j**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -348.\nAnswer: 38\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/4 - (11\/2 + -4). Solve -5 - 2 = 4*h + g*p, 5*h + 5*p = -15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -45*b + 135. Let d = 83 - 28. Let w(q) = -5*q + 15. Let m(f) = d*w(f) - 6*s(f). What is the first derivative of m(a) wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57635 is divided by 28810.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Let s = 880.8 + -881. Which is the second biggest value? (a) s (b) t (c) 8 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*(6 + -2). Solve -g = -s*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 10*w**3 - 5*w**2 + 10*w.\nAnswer: 5*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -94.965 * 24\nAnswer: -2279.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - 4. Let p = 0.8 + x. Let k = 0.89 - p. Round k to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1305568 and -121\/24.\nAnswer: 3916704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 127, 142, 109, 22, -125?\n\"Answer: -d**3 - 18*d**2 + 76*d + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152, -322, -524, -764, -1048, -1382, -1772, -2224?\n\"Answer: -a**3 - 10*a**2 - 133*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308074 - 308002. Let z(p) = 59*p + 3. Let n be z(3). Calculate the highest common divisor of n and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76823443\/12 + -6398242. Let b = 3706 - k. Find the common denominator of 7\/18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose r*d = -5*w + 12, -d + 6 = -0*d - 3*w. Suppose 2*p - d*p - 2*f + 38 = 0, 23 = p + 5*f. What is p rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(7\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -604 and 7.\nAnswer: -4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 478038 - 478038.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**2. Let h(u) = 40*u**2. What is l(h(q))?\nAnswer: -19200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 - f**2 + 2*f**3 + 4 - f**3 - 9*f. Suppose -7*h - 27 = -4*h. What are the prime factors of b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 5*q**3 + 22*q**4 - 2 - 44*q**4 - 6*q**2 + 20*q**4 to g*q**3 + y*q**4 + x*q + d*q**2 + s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*8\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38, -81, -150, -245, -366?\n\"Answer: -13*a**2 - 4*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:54 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1, -0.04, 0.3, -1\/5, -0.97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6420605 months in decades?\nAnswer: 0.0136838375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/72 and 79\/1532.\nAnswer: 27576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5720 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/(b**(1\/4)*b))\/b*b*b)\/b)**(4\/19))**(8\/3)\/(b**8\/(b*b*b*b*b*b**(1\/4)*b)*(b\/b**(1\/5))**(-5\/7)) assuming b is positive.\nAnswer: b**(-313\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -16, -28, -42, -58?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718*q - 722*q + 20 = 0. Let a(x) = 583*x**2 - 40*x + 192. Is a(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:54 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4663 + 4665.261. Let z = g + -2.3. Round z to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5172510949?\nAnswer: 1223, 1543, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -0.5 (b) 0.5 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h**3*h)\/h*h))**(-16)*(h*h**0)\/h**(3\/5))**(-4\/7) assuming h is positive.\nAnswer: h**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.05928?\nAnswer: -0.023712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 plus 151665.736?\nAnswer: 152567.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 216. Let y = -48 - m. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v + 1. Let t(z) = -2*z**3 + z + 3. Let n(k) = 2*p(k) - 2*t(k). Suppose -3*q = -3 - 9. Let s(b) = 5*b**3 - 3. Determine q*s(c) - 3*n(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnu when three letters picked without replacement from {u: 7, n: 5, w: 6}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 0.0834, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-75))*(-3560)\/(-4450)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5306 or 5307?\nAnswer: 5307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z + 0 + 0 + 52*z to the form d + k*z and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*q - 10*q + q)*(0 - 2 + 5)*(5 - 4 - 4) as r*q + o and give r.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4623*y**2 - 1689250*y + 1689250*y)*(-2*y - 3 + 3) to the form j*y**2 + b*y + r + n*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 16*t**2 + 23*t + 24. Let a be ((-76)\/(-4) - 3) + (2 - 1). Does 12 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80837 and 4688546?\nAnswer: 4688546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1534037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11524 - 11340. What is the smallest common multiple of o and 92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 = -1. Suppose -r + m - 41 - 112 = 0, 153 = -r - x*m. Let j = -75 - r. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((4 + sqrt(1216) + 0)**2 - -3*(sqrt(1216) + 1)**2)*-6.\nAnswer: -29303 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(684) + sqrt(684) + 3)*2 + 5)**2.\nAnswer: 816*sqrt(19) + 11233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svcvsavvssvvvssssv. What is prob of picking 1 c and 3 s?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v\/(v**(-5)*v)*v*v*v*v)**(-1\/22) assuming v is positive.\nAnswer: v**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 517 = n + 16*j, 4*n = 3*j - 2137. Let d = -383 - n. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29197719451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2)*t*t)\/t**7*(t**0)**(-2\/27) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 88\/5 of a millennium?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124805 + 33*g**2 + 249618 - 124813.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -162 (b) 0.04 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 39*f**2 - 3*f + 3. Calculate the remainder when 233 is divided by p(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let i = -58065 + 754841\/13. Which is the second smallest value? (a) 1\/3 (b) z (c) 2\/5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 minutes after 9:37 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 5*s - 15. Let n(d) = -2*d**2 - 2*d - 6. Let v(k) = -5*n(k) + 2*z(k). Let w(m) = -375*m**2. Determine w(v(p)).\nAnswer: -1500*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44964 = 17*z - 46103. Solve -z*u = -89*u - 110 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - 2. Let z = f - -22. What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 25*j**2 - 18*j + 146. Let k be c(-24). Solve -11*q = k*n - 6*q - 1, -11 = -5*n - 4*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 - 16*a**3 - 101 - 2*a**4 + 247 - 4*a**4 - 247 + (0 - 2 + 0)*(4*a**4 - a**4 + 0*a**4) as x*a + q*a**3 + g*a**4 + w*a**2 + c and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from gfhchchgcg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 277, 269, 261?\n\"Answer: -8*d + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282 (base 14) to base 2.\nAnswer: 111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 26357*g**2 + 26366*g - 1. Calculate f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-40))\/(-2 - (-28)\/15).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6927183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 13*b**2 + 19*b + 15. Let l be w(-14). Let f = -65 - l. Let k = f + 5. Does -6 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) + 0 - (-12)\/(-55). What is the third smallest value in 0.4, -21, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7150*s**3 + 3*s**2 - 5*s + 3. Is l(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1443*t**2 + 1036*t - 11. Let c(v) = -723*v**2 + 519*v - 6. Let h(r) = -11*c(r) + 6*s(r). Find the second derivative of h(m) wrt m.\nAnswer: -1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*a**2 + 168*a**2 - 310*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12433360 (base 7) to base 10\nAnswer: -1134490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/8)\/((-1605)\/(-120) + -13)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-18) + 26\/(-30). What is the nearest to 11 in -0.3, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30538, -30529, -30508, -30469, -30406, -30313, -30184?\nAnswer: -30013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13224 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3511027*u. Let x(k) = -45*k. What is w(x(q))?\nAnswer: -157996215*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1045932849518\nAnswer: 1045932849511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 16 + 17)*(-2 - 24*r**4 + r - 25*r**4 + 2*r**2 + 21*r**4) to s*r + j*r**3 + d + g*r**4 + t*r**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**10)\/u)\/u)\/(u**(-3\/11)\/u))**16 assuming u is positive.\nAnswer: u**(1808\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52597\/10 - -5248. Let r(u) = u**3 + 4*u**2 + 7*u + 6. Let j be r(-4). Find the common denominator of (-15)\/(-10)*(-16)\/j and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054185 to 5 dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 22237.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 63*l - 560. Let y be w(17). What is the greatest common factor of y and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/20 - 7*g**4\/24 - 5*g**2. Find the second derivative of a(b) wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 4, z: 4, m: 2, o: 3}. What is prob of picking 1 d and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 16) to base 3\nAnswer: 102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - 2\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -5. Let l be 1*-3*(-4 - b). Find the third derivative of -3*w**2 - l*w**5 + 2*w**5 + w**2 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o - 27*o - 12*o + (3 - 1 - 1)*(o - 1 + 1))*(-1 - 4 + 3).\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103\/287 + -3\/41. Factor -s*w**2 - 2\/7*w**3 + 0 + 4\/7*w.\nAnswer: -2*w*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 4*a**2 + 2*a. Let n be x(-2). Let f(s) = s**3 + 4*s**2 - 4*s + 5. Let g be f(n). Let c be (-33)\/(1 + 5\/(-2)). Is g greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -323.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cc30 + -7bb?\nAnswer: -1071b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9416*o**4 + 9*o - 663 wrt o.\nAnswer: 112992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/((a\/(a*a**(3\/23)*a))\/a))*a\/(((a*a*a**(-11)*a)\/a)\/a) assuming a is positive.\nAnswer: a**(227\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - 2*h**3 + (-2*h - 2 + 2)*(h**2 + 0*h**2 + 0*h**2) - 4*h**3 - 338*h**2 + 338*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*m - 5*p - 15 = 0, -m + 2*p = -6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-468)\/25)\/(-13))\/((-108)\/(-360)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - ((-3 - -1) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 2*l + 6. Let a be s(4). Let b = 7 - a. Solve -2*n + 4*x = 12, 0*x = 5*x - b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 25*o - 21 = 0. What is the second biggest value in 0.8, 4, -2\/9, o?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24938688.51 to the nearest 100000.\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - -2*sqrt(704))*4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -81*u**3 - 10*u**2 + 11*u + 7. Is h(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 162, 328, 560, 858?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1\/5 (c) 2\/3 (d) -79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:56 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21512330, -43024650, -64536970?\n\"Answer: -21512320*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3) + 5 + -3. Let a = -0.03 + -0.17. What is the second smallest value in 2\/11, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 t, and 1 p when four letters picked without replacement from {j: 2, p: 2, z: 1, t: 2, y: 3, q: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-99))\/(15\/(180\/8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1, -0.06, -14, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -1. Let z = f - -6.064. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(192))**2.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*u**2 - 15 + 35*u**2 + 35*u - 33*u to the form v + i*u + r*u**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 3. Calculate the remainder when q(3) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 2\/7, -3\/10, 21.738?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**2 - 45*c**2 + 6 + 28.\nAnswer: c**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -798 - -2c664?\nAnswer: 2becc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a, 19 = 5*u + 5*a - 1. Suppose u*k + 0*k + 96 = 0. What are the prime factors of (-2)\/16 - 1734\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 0 + (-7 - 2) + 4. Which is the second biggest value? (a) v (b) -1\/2 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/g*g*g**(-4)*(g*g*g\/(g\/(g**2*g)))**(-1\/3)*(g**2*(g*g**(-3)\/g)\/g)\/(g**(-2)*g)**7 assuming g is positive.\nAnswer: g**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/79 and -23\/78360732?\nAnswer: 78360732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6.5, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 - 3658\/27. Calculate the common denominator of m and 52\/21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -490 - -705. Let l = p + -218. Which is the fourth biggest value? (a) 0.04 (b) -0.5 (c) l (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -198, 15, 3, -1, -6, 6 in descending order.\nAnswer: 15, 6, 5, 3, -1, -6, -198","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1308\/41 - -9238\/287. Solve 4\/7*t + r*t**4 - 4\/7*t**2 + 2\/7 - 8\/7*t**3 + 4\/7*t**5 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*u + 20, -q = -3*u - 18 + 3. Let p = 56 - 36. What is the units digit of (-1 + 2)*(p + q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 less than -11732241332?\nAnswer: -11732240783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*f**4 - 10*f + 15 + 4396*f**3 - 14 - 4397*f**3 in the form z*f**3 + r + w*f**4 + p*f + i*f**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1140 - -1144. Which is the closest to 0.2? (a) 1\/3 (b) u (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = 2*n, 47*f - 5 = 42*f. What is the greatest common factor of n and 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let b be (8 - (-3 + 1))\/(14\/21). Let c(l) = -b*l + 49*l + 6 - 35*l. Determine c(m(a)).\nAnswer: 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*a - 3*a = 444, -2*a + 586 = -4*x. Let c = -96 - x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + b**3 + b**3)*(-65*b + 29*b + 10*b - 62*b).\nAnswer: -264*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkfddfkvfkddkfmfkmmk. What is prob of picking 1 v and 1 d?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 2. Let x be p(-3). Suppose -4 = 2*o - x. Suppose o - 25 = -2*z. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1438504*162.\nAnswer: -233037648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 2*n - 2. Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 189*f. Let b(x) = -212*x**2. What is b(c(u))?\nAnswer: -7572852*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 356\/7. Which is the closest to -2? (a) y (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -93*w**2. Let y(f) = -2*f + 21. Give o(y(s)).\nAnswer: -372*s**2 + 7812*s - 41013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2018 + 5015. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p + 2. Let t = -180 + 180. Let w be g(t). Let u(o) = -o**3 - 5*o**2 + 6*o + 2. Let k be u(-6). Solve w*b = -k - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 2025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7070151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**2\/2 - 6*i + 16. Give p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 6:06 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 3*x**2 + x + 6. Let i be b(-3). Suppose -3*o = 5*t - 13, i*o + 4*t - 10 - 7 = 0. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12b (base 13) to base 10\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-260)*(1\/(-3))\/(2\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*n - 61, y + 0*n + 5*n - 38 = 0. Let s = y + -11. Suppose -r + s = -45. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32140343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 5. Let l(y) = -15*y - 24. Let i be 20\/(-6)*(-4 - 66\/(-12)). What is i*l(a) + 24*j(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7)**12*(z*z**13)**(-46) assuming z is positive.\nAnswer: z**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m + 43*m**2 + 1\/12*m**4 + 0 - 10\/3*m**3. Let w be u(11). Solve -8 = -a + i + i, -a - w*i = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 193*g**2 + 5562*g - 1123. What is o(-29)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1048065 and 1140.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 1171*j**4\/4 - j**2 + 880*j + 1085. Find the second derivative of b(w) wrt w.\nAnswer: 7026*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323 (base 4) in base 5?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.93947571 to four decimal places.\nAnswer: 4.9395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 106 = 4*x. What are the prime factors of (-23)\/(-5) - 20\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Suppose 2*h + j - 13 = -54, -3*h - 2*j - 62 = 0. Let s(z) = -4*z - 10. Calculate h*x(c) + 2*s(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h + 9. Let b be x(-7). Let f be ((-18)\/63)\/(1\/7*-1). Suppose -f*v = b*v - 20. Solve 12 = y + 4*a, 4 = y + 3*a - v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(57)\/(sqrt(3)*2))**2.\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - (1 + -18)) + 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o**2 + 6*o - 8. Let s(x) = -2*x**2 + x - 1. Determine 5*s(i) - z(i).\nAnswer: -i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c - 2*l - 10 = 0, 3*l + 15 = -3*c. Suppose c = -12*k + 22*k - 50. What is the smallest common multiple of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 6*a - 8. Let x be l(-7). Let c = x + 12. Is (-3)\/2*70\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(54\/(-4))*-60. Is f at most -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 5, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*h*k*o - h*k*s + h*k - 34*k*s - 2*k - 3*o*s wrt o.\nAnswer: -105*h*k - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-65)\/15) + 107\/3. What is the highest common factor of n and 1152?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(((-2)\/(-6) + 0)*-3). Solve -6*h + h + 20 = -x*y, -h + 3*y + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699004, -1398009, -2097014, -2796019, -3495024, -4194029?\nAnswer: -4893034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:56 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76.5428 - -1100.9142. Let c = 1178 - n. Let f = c - 0.043. Is f smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 - 0.340159. Round t to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1191*t - 626*t - 2 + 363*t.\nAnswer: -1454*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 266261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10432, -10429, -10426, -10423, -10420?\nAnswer: -10417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 342*m + 3079. Determine x(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let w(t) = 8*t - 46. Determine w(o(j)).\nAnswer: -8*j**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p\/(p\/p**(-8\/9))*p*p)\/p*p)\/p)\/p)\/((p**(2\/23)*p)\/p)*((((p\/p**28)\/p)\/p)\/p)**(-8) assuming p is positive.\nAnswer: p**(49892\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -74.\nAnswer: -9\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 119693316 = -226306684. Round t to the nearest 1000000.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-511)\/4)\/((-234)\/8). Let g = p - 77\/13. Let z = -11285\/6 - -1894. What is the common denominator of g and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 112.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 139 times -16\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.32439689 to two decimal places.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from pppmyppymmpyfypypp.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 78*f**2 + 79*f - 40. Let g be v(-40). Solve -14*k + 24 + 32 = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39413*q**4 - 40323*q**4 - 2*q**2 + 8*q**2)*(2 - 2 + 1 + (2 + 2 - 3)*(1 + 3 - 2)) as x*q + r + k*q**2 + t*q**4 + l*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5039*t - 267572 - 4615 = 298*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -114, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*a**3 + 9649*a - 221505.\nAnswer: -72*a**2 + 9649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 11}. Give prob of sequence yh.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2617 at least -2449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 1\/4, 40, -0.1, 68, 1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9609.21 times -5?\nAnswer: 48046.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -315.7587 and 1680781.2.\nAnswer: 1680465.4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 923.4 - 923.504. Let r = 4.006 + -4. Let j = r + h. What is j rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24293 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.222 - -0.778. Sort k, 36, 1\/2.\nAnswer: 1\/2, k, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -440*a**3 + 5*a**2 + 3*a - 1. Is 63 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 20.5. Let f be 4\/(-12) - (-2)\/(-30). Which is the nearest to 0? (a) f (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 11*w - 9. Let o be r(12). Sort 5, o, 0 in descending order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 322?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 75*l + 4*o - 28 = 0, 0 = 5*l + 3*o + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -11*x - 118 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 18010.2.\nAnswer: -18010.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -26*r + r**3 + 0 + 4\/3*r**2 + 1\/30*r**5 + 1\/3*r**4. Factor s(o).\nAnswer: 2*(o + 1)**2*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {w: 2, n: 3, e: 1, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104)*-1*3)\/(sqrt(200) - 1*sqrt(200)*-5))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 - 3?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x - 5. Let j(l) be the second derivative of 17*l**3\/6 - 9*l**2\/2 + 3153*l + 1. What is 3*j(i) - 7*z(i)?\nAnswer: -5*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*((-20)\/(-8) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13523779.\nAnswer: 13523779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/32)\/(3*(-5)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54680618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/o*o)\/(o*o\/(((o*o\/o**(-10))\/o)\/o))*(o**(1\/13))**(5\/11) assuming o is positive.\nAnswer: o**(7757\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/(-8)*-4). Let w be (z - 0)*(-2)\/(-7). Let f = -2.2 + 0.2. Which is the smallest value? (a) f (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28093894 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: Suppose 931 - 3635 = -4*j. Let p = j - -15. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 28. Suppose 2*t - 68 = -2*c - 0*t, t = 4*c - 151. Let f = s + c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 2*l = -162. Let w(b) = 6 - b - l*b + 12*b. What is w(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 8 + 6)*(0*a - 2*a + 0*a)*(83*a - 9*a - 88 - 76*a) as y*a + u*a**2 + w and give y.\nAnswer: 1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 719*t**2 + t - t + 718*t**2 as n*t**2 + w*t + a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-1*3 + ((sqrt(204) - (sqrt(204) + (3*1*sqrt(204) - sqrt(204)) + sqrt(204))) + sqrt(204))\/sqrt(12) - (-2 + 5*(sqrt(1700)*-2 + -4)).\nAnswer: 22 + 95*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/13 - 112*m**3\/13 - 1246*m**2\/13 - 2840*m\/13 + 4200\/13 = 0 for m.\nAnswer: -42, -10, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 485416*j**3 + 19646553408*j**2 + 265639596743320*j + 17709805518121852.\nAnswer: 4*(j + 67)*(j + 40429)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008743?\nAnswer: 1008743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -42. Solve i = -4*n - 4*s - 12, -n - 4*s = -s + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - 61)*13*(3 - (-16)\/(-6))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(1377)*1)**2 + (sqrt(17) + -1 + -2 + sqrt(17) - (-1 + sqrt(1088))).\nAnswer: -6*sqrt(17) + 5502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.7583 - -10.4183905. Let c = a + 1.34. Round c to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 46. Let o be u(-22). Suppose 0 = -19*b + 18*b + o. Put 3, -1, 0, b in descending order.\nAnswer: 3, b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n - 20. What is the units digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 51*t**2 - 4*t. Let d be z(-5). Suppose -53*n - 6 + 112 = 0. Suppose 0 = -5*r - 3*a + 6449, r = -0*a + n*a + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3 + 86*z. Let k(s) = -2*s**2. Give m(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 3 - 3 + 16*z - 2.\nAnswer: 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4253?\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/13))**32 assuming x is positive.\nAnswer: x**(-192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -552375 divided by -4419?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/7, 1, -1\/4 in ascending order.\nAnswer: -1\/4, -1\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124.0178 - 130.01787. Let j = 6 + l. What is j rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4 - 136*w**3 + 288*w**2 + 27648*w - 55296 = 0.\nAnswer: -24, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26378900 divided by 5275780.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002976004 to six dps.\nAnswer: -0.000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 65423425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 1. Let w be m(1). Let q(a) = 5*a**3 - 6*a + 0*a**w + 0*a. Let k(z) = 78*z**3 + 4*z + z - 157*z**3 + 75*z**3. Give 6*k(d) + 5*q(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -177.3 (b) -2\/9 (c) -40 (d) 0.3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 + -2)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453 or 110?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s + 5*s + 8*s - 32*s + 19*s**3.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 93.09. Let r = -0.09 + q. What is the nearest to r in 1, 0.5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u - 13. Let d(x) = -x**3 + 35*x**2 + 115*x - 31. Let g be d(38). What is c(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438\/657*((-18)\/28)\/(6\/1)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 725?\nAnswer: -21.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -939, -1928, -2917, -3906, -4895?\nAnswer: -5884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 820 and 12.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(126) + -1*sqrt(126)) + sqrt(126))\/((-4*sqrt(7) + sqrt(7) + sqrt(7))*3) + 0)*-4)**2 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-352)\/9 + (-1)\/(-9). Let t = b + 145. Suppose 3*y - 32 - t = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -164, -2\/9, -2.619, 2, -4?\nAnswer: -2.619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49580 and 232490?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 4*p, 5*p = -348*x + 344*x + 12. Suppose -a = 2*f + 3 - 7, -4*a - 4*f = -28. Suppose -4*q + 3 + 5 = 0. Solve a = -p*h + q*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2471.4 - -2471. What is the closest to 4\/7 in -1\/6, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11904759 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-17)\/(-510)*114)\/((-3)\/6).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/56237544 and -107\/792.\nAnswer: 56237544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**9)**(-20)\/(w**1\/(w**(2\/5)*w*w)))**(-7\/12) assuming w is positive.\nAnswer: w**(6251\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 462275.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -751*z + 15032. Give f(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2663159 and 0.48?\nAnswer: -1278316.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(136)\/(sqrt(24)\/sqrt(3)) + 5).\nAnswer: -25 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + (-7 - 3) + 10\/2. Let r be 39\/c - (6 + 0 + -2). Which is smaller: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 2*w**3 + 0*w**3)*(-139 - 31 - 121)*(8 - 1 - 1).\nAnswer: -6984*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.390106 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248379?\nAnswer: 3, 82793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/12 - (-245)\/(-165). Let v = -1 + 2. Put a, 2\/3, v in descending order.\nAnswer: v, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*o**2 + 27*o**2 + 33*o**2 + (-3*o**2 + o**2 + 0*o**2)*(-5 - 11 + 1) to the form v + f*o**2 + r*o and give f.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 6 + 4, -o = 3*h + 41. Let p = 33 + h. Let f = -17 + 37. Do f and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 less than -23?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 g when four letters picked without replacement from gggggzghhzzhg.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 4*f**3 - 4*f + 2.\nAnswer: -2*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 5*w**2 - 9*w - 8. Let a be f(-7). Let x = a - 96. Calculate the highest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.5, -22, 0.4, -8\/11, 2?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose -2*o - 211 = n*l - 682, o + 4*l = 243. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7bb8 + -503?\nAnswer: -83bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 11. Let n(w) = 192576*w. Calculate t(n(s)).\nAnswer: -192576*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**2. Let b(j) = 1. Let a(x) = x**2 + 5. Let v(n) = a(n) - 5*b(n). What is z(v(k))?\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (-144)\/(-16) + (-3)\/9. Let v(k) be the first derivative of 15\/2*k**2 - r*k**3 + 13 - 10*k. Factor v(n).\nAnswer: -5*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + t - 1. Let a(u) = -4*u**3 - 7*u + 6. Let z(s) = -a(s) - 5*q(s). Let f be z(1). Solve f*j - 3*j + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19969140 divided by -1331276?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7502*b = -8*q + 7498*b + 216, 2*q = -5*b + 70 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/40 - t**4\/8 - t**3 + 4*t**2. Let u(r) be the first derivative of l(r). What is u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 44*q + 48.\nAnswer: -4*(q - 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 625253880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127382, 129090, 131942, 135944, 141102, 147422, 154910, 163572?\n\"Answer: c**3 + 566*c**2 + 3*c + 126812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40280.\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 1284 - 1284 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b**2 - b + 6 - 8)*(3*b**2 + 2*b**3 - 3*b**2).\nAnswer: -4*b**5 - 4*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2187.863399 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26711*c**3 + 230*c - 111*c - 119*c.\nAnswer: 26711*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1021*i**2 - 13225*i**2 + 389*i**3 - 387*i**3 + 280*i**2 as c*i**3 + t*i + f*i**2 + g and give f.\nAnswer: -11924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/((-4)\/(-18)). Let q(a) = 17 + 15*a**2 + 14*a - 16*a**2 - a. Let g be q(14). Solve g*w - 4 = 2*t + w, -3*w - s = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.1 (b) -13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2976 divided by -1.\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 13*k**2 + 15*k + 16. Let b be t(-14). Suppose -b*a = -7*a + 950. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269287833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*o - 4 - 6, 5*j - o - 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1913 + 86*f**2 - 260*f**2 + 82*f**2 + 94*f**2 to b*f + g*f**2 + l and give l.\nAnswer: -1913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - 1. Suppose -2*g + 5*j = -63, -3*g - 36 = -4*g + 4*j. Suppose r + 22 = g. Solve -v - 5*b + 29 = r*v, -s*v = b - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56161*i**4 + 224986*i**2 wrt i?\nAnswer: 1347864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 7*i = -t - 6, 22 = -7*t + 3*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 4\/10)*(-19 - -9). Let x(r) = -r**3 - 3*r**2 + 3*r + 3. Give x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*b + 6 + 11, -5*b = 2*m. Let w(l) = 2*l + 2*l**2 - b*l. Let g(f) be the third derivative of f**4\/24 + 12*f**2. What is w(g(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 2, b: 5, g: 1, d: 3}. Give prob of sequence byr.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:36 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, x: 2, o: 2, s: 1, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76857 to 2 dps.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8307858 greater than or equal to -8307882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**4 + 232016*j**3*p + 38034406*j**2*p wrt j.\nAnswer: -432*j + 1392096*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -2503842.\nAnswer: 2503841.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -19*d**3 + 2*d**2 + 8*d + 7. Let v be y(-1). Solve 0 = -m + 4*l + 15, 3*m - 4*l - v = 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/198 and 29\/2424.\nAnswer: 79992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i + 4. Suppose 0 = -3*d + 3*m - 21, -d = 3*m + 15. Let g be 6\/((-3)\/d*3). Let x(z) = 11*z + 5. Let y(u) = g*x(u) - 7*k(u). Determine y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201045 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000044725942 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-4*sqrt(3146)*1 - sqrt(3146)) + sqrt(3146)))\/(sqrt(50)*-1 + sqrt(2)*-4*2 + sqrt(2)).\nAnswer: -22*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 195\/(-10)*(-4)\/(-3). Let f(y) = y**2 - 7*y - 4. Let m be f(-5). Let c = x + m. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 2*n - 3. Calculate m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64311787 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 6708 + 6663 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2000?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = o - 137 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066 + 686 = -327*g - 2996 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2106797*l + 1578624?\nAnswer: -2106797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14 - (-11 + 11)) + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 4430256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 441085199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*l**3 - 60*l**3 + 27*l**3)*(1 + 1 + 0)*(-2 + 5 - 4) to b*l + k*l**2 + d + z*l**3 and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 63*j**2 + 27*j + 27. Let o(v) = -9*v**2 - 4*v - 4. Let d(s) = -27*o(s) - 4*q(s). Let w(f) = -2*f**2. What is d(w(b))?\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31673121 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -9. Suppose 0*f = 3*u - f - 11, 15 = -3*f. What is the derivative of 8*o - u + m - o - 12 wrt o?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z. Let o(i) = 550479234*i. Determine n(o(d)).\nAnswer: -1651437702*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-72)\/(-9))\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 11:55 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.06 - 0.06. Let z = -0.11 + 0.36. Let d = 0.25 - z. Sort c, 1\/3, d in decreasing order.\nAnswer: c, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -246 + 252 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*m**3 + 45 - 45 + 12*m + 40*m**3 - 51*m wrt m.\nAnswer: 540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 + -2412052?\nAnswer: -2411540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 12*g**2 - 26*g + 26. Give b(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**3 - 21 + 21)*(418*n - 234*n - 236*n + 381*n + 826*n + 914*n) to x*n**4 + a + h*n**3 + t*n + o*n**2 and give x.\nAnswer: -10345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.67388499 to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n**1\/n)*n))\/n)\/n)**38\/((((n\/(n*n**(4\/7)))\/n)\/n)\/n**(-7))*(n**(-1))**(-1\/10)*(n\/n**4)\/n**5 assuming n is positive.\nAnswer: n**(-11503\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 3*q**3 + 304*q**4 - 903*q**2 - 303*q**4 + 909*q**2 to j*q + l*q**4 + d*q**3 + f*q**2 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 281873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000119366 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -6)*2\/10*-2. Suppose a = -h*i - 0*i + 29, 2*a = 4*i - 2. What is the remainder when 51 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 9*c - 7. Let m be k(-8). What is the greatest common factor of 3 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/o)\/((o*o*o**(-8))\/o)*o**(-7)\/(o*o**(1\/4)\/o))**(-8\/7) assuming o is positive.\nAnswer: o**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511906300?\nAnswer: 2, 5, 5119063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157399 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -178*g - 2498. Calculate i(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {h: 1, z: 3, v: 1, n: 3, t: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-4 - -3)\/(2\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 7. Let p be h(5). Let r(u) = 0*u**p + 1 - 4 - 4*u**2 - 3 + 6*u - u**3. Let v be r(-6). Solve 3 = -w - 2*i, 3*w - 5*i = -2*w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -851.6 + 852. What is the nearest to r in -4, 2, -0.5, -4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccm when three letters picked without replacement from rmcc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2671477875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:28 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b7343 (base 13) in base 11?\nAnswer: 313647a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1896.6 - 1897. What is the fourth biggest value in -5\/4, -6, d, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 14) in base 3?\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 52 = 4*k. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:43 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63105, 252391, 567867, 1009533, 1577389, 2271435, 3091671?\nAnswer: 4038097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 60 = -414. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.121.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -8, -c + 3*b - 1 = 0. Put c, 4, 1, -3 in increasing order.\nAnswer: -3, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.99921 + -33. What is c rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*d + 2*g - 2, -2*d + 4*g = -12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -45. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 minus 25973?\nAnswer: -25976.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 198 = -53 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.4 (c) -52 (d) -11 (e) -16\/3 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 312 - 267. Let r = -328 + 2781. Let q = -4995\/2 + r. Is q at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 68877?\nAnswer: 482139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 6*y**2 + 8*y - 7. Let u be q(7). Suppose 46 = -3*k - 2*g, u*k - 5*k = 3*g + 77. Let l = 30 + k. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288768 and 39198?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/14*(0 - -4). Let d be (-6)\/(0 + m + 0). Let r be 6\/d + 7\/(-3). Which is the nearest to -0.1? (a) 2\/7 (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (10 + -26 + 11)) + (14 - (4 + 13))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 + -1 + 2). Suppose 0 = -3*n - 3*x + 9, n + 15 = 2*n + 5*x. Is 2 - z*11 - n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 times 2\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16c - -56?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(6\/(-15) - (-12)\/5). Calculate the remainder when 47 is divided by 3 + 2 + (b - 1) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 44 = -4. Let x(a) = -a**2 + 9*a - 7. Let i be x(c). Let q(g) = -10*g + 1. List the prime factors of q(i).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 6*k + 5. Suppose 4*b + 40 = 3*x + 5, 0 = 5*x + 2*b - 15. Calculate y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84195293 is divided by 10437.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/86 + -18\/43. Which is the smallest value? (a) 0.4 (b) 0.5 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1081561936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52179 - 1.33536.\nAnswer: -52180.33536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1104\/5 - 0. Let c = 3517\/15 - p. What is the common denominator of (754\/78 - (-10 + -2))*(-4)\/35 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5636862 by -154.\nAnswer: 36603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.5. Let f = 800 - 800. Let u = 103 - 103. What is the closest to u in f, w, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**3 + r**2 - 5*r**3 - r**2.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087603l in millilitres?\nAnswer: 87.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.6 - 7.7. Suppose -3*s - 20 = 3*y + 13, 0 = -3*y - s - 19. Put y, -3\/8, 2, u in increasing order.\nAnswer: y, -3\/8, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 5) to base 3.\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 277 = 4*o, 5*z + 79 = o + 3*z. Calculate the greatest common factor of 73 and o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 2*u - 3*u)*(212 + 614 - 1797 - 123) as k*u + c and give k.\nAnswer: -2188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -3*o**3 - 3*o**2 + 7*o + 131. Let t(m) = 26*m**2 + 17*m - 20. Give 17*b(r) + 6*t(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 8. Let m be 1 + (-1)\/(b\/(-6)). Let f(j) = j**2 + 9*j + 9. Let x be f(-8). What is the second biggest value in x, 2, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -2*d**3 - d**2 - 52*d. Let a(z) = -23*z - 4. Give 4*a(m) - 7*u(m).\nAnswer: -8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/132396 and 41\/78705?\nAnswer: 315764460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.351541 and 0.1519572.\nAnswer: -1.1995838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2 - 10. Is -3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 - 3*p**2)*(3*p + 2*p - p) + (3*p + p - 5*p)*(-p**2 + 0*p**2 + 2*p**2) in the form w*p + g*p**2 + a*p**3 + i and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5\/8 - 39*q**4\/8 + 69*q**3\/4 + 63*q**2\/4 - 1485*q\/8 + 2025\/8 = 0.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2059, -2\/5, -2.8, -3, -4 in increasing order.\nAnswer: -4, -3, -2.8, -2\/5, 2\/2059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4739 + -4736. What is the third smallest value in 0.3, -0.1, 4, z, -0.045?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509174 by 23.\nAnswer: 22138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01306926189 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*k**2 - 2*f**3 + 315*f*k**2 - 7757*f*k - 2*k**2 wrt k.\nAnswer: -2*f**3 + 630*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 3*l - 51, -o = -5*l - 37. What is the common denominator of 151\/6 and (-7)\/(-80) + o\/20?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4369 + -850. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**4 + 6*s**2 - 3*s. Let i(r) be the second derivative of -r**3\/6 + r**2\/2 - 12*r. Let x(q) = 3*i(q) - u(q). Factor x(o).\nAnswer: 3*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**3 - 5*g**2*t**3 + 76*g*t**3 + g*t wrt g.\nAnswer: -60*g - 10*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368*c**3*q**2 + 15477*c**3 - 9*c*q**2 with respect to q.\nAnswer: 736*c**3*q - 18*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 207.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*(36 - 245835\/6840)\/((-21)\/(-28)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3065, 6139, 9213, 12287, 15361?\nAnswer: 18435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14f536 (base 16) in base 5?\nAnswer: -322422434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*((-3*(sqrt(75) + 0 + sqrt(75)))**2 + 5 - ((sqrt(75) + -2*sqrt(75) + 5)**2 - ((sqrt(75) - (sqrt(75) - (sqrt(75) + 1)**2)*-3) + sqrt(75)))) + -4).\nAnswer: 360*sqrt(3) + 19000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 + 32010*v + 51232005 = 0.\nAnswer: -3201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -201022012012211?\nAnswer: -201022012012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 20*i - 36*i - 61*i - 3*i to h*i + p and give h.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:05 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/(a**(-6)\/a))\/(a**(2\/3))**(-2\/53) assuming a is positive.\nAnswer: a**(1753\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from {k: 10, d: 6}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, i: 2}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus -90183.7475291?\nAnswer: 90183.7975291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/3, -0.1, 5 in descending order.\nAnswer: 5, 10\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 6051 - k**2 - 105*k**3 - 64*k**3 - 6050 to y + r*k**2 + f*k**3 + u*k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 25*g**2 - g. Suppose 0 = 4*i - 4*p - 16, -4*i - 7 = 3*p - 2. Let q be o(i). Suppose 2*j - 4*h = -q, -j - 17 = -2*h - h. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 60*t - 1128. What is s(75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 - 844. Let k = h + 984. Suppose 0 = -6*m + 61 + k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 140\/3. Suppose -2*d = -5*h + 1, 0*d = h - 2*d - 5. Which is the closest to 0? (a) h (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11458423.\nAnswer: 61, 187843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/116, 1\/4, 3, -0.36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 18. Suppose 0 = -0*p + 3*p + v. Does -2 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23824291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 = 4*i + 2*k, 5*i - 5*k = 9*i - 1079. Let w = i + -267. Solve 4*a - 3*a + 8 = 3*n, 4*n = -w*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, -0.1, -4, -163, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*p + 46, -g + 2*p - 1 = -4. Let d = 13 + g. Suppose 5*b - 15 = -d*z + 4*z, -13 = -3*z + 2*b. Calculate the remainder when 7 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 1, v: 2, z: 2, p: 1, m: 2}. What is prob of sequence pzt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let m(f) = -11328940*f**2. Calculate l(m(r)).\nAnswer: -128344881523600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -870*j + 48212. What is t(55)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) + 62\/3. Suppose -o = 5*i - 108, 0*i + z = i + o. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-2)\/6. Let c be (4\/5)\/((-2)\/(-10)). Let t be -1*3 + (10 - c). Solve r = -t*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a - 24. Let s be f(6). Let n be 5*(-6)\/(-30) - (s + 55). Let t = -52 - n. Solve 3*o - t*o + 17 = 5*r, -5*o + 2*r + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067445 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 3)*((-25 + 12 - 35)*(t - 2*t + 0*t) - 1 - 2*t + 1) as k + q*t and give q.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -17723502461.553?\nAnswer: -17723502464.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 1 + 13. Let l(z) = z**2 - z + 5. Let t be -4*(-3)\/4 + -3. Let f be l(t). Solve -f*a + 3 = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-10)\/(-4)) - (-18)\/(-12). Let h = -13 + 18. Which is the closest to d? (a) h (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20 and 35?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 5, -1\/862, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41d05c (base 14) to base 11\nAnswer: -1290031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 3, -0.12, -3413?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37529 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39302722, 39302720, 39302718, 39302716?\nAnswer: 39302714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {b: 1, f: 6, r: 2, g: 1, z: 3, w: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) 5 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4*v**2 + 11*v - 2*v + 2*v**2 - 6. Let o(n) = -n + 1. Let k = 1095 - 1094. Give k*c(b) + 6*o(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 56. Let q be 0\/(7 + (6 - 14)). Which is the closest to t? (a) q (b) 0.03 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58663 by -10897.\nAnswer: 58663\/10897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.144 in -6, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 203 = -j, 0 = -2*y - 19*j + 20*j - 77. Let z(h) = 130*h + 40. Let v(o) = 10*o + 3. What is y*v(q) + 3*z(q)?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115094 - -115094 - (-67 + 1 - (-1 + -2 - -2))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k + 1001 = 821 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 19 = -41*v + 106, 2*u + 4*v = 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27)*3*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15\/7, 1, -3 in increasing order.\nAnswer: -5, -3, 1, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -57. Suppose 5*o = 4*g + 708, -q*o - 5*g + 251 = -196. Suppose -5*h - h + o = 0. What is the smallest common multiple of 12 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = z - 5, -f + 15 = 4*f. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*p**2 - 5*p**4 + 1 + p + 7*p**4 to y*p**2 + u*p**3 + m*p + i + n*p**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 243080893 at least as big as 243080894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 8*t**2 - 3*t + 4. Determine r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 232\/(-24) - (-16)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.7, -8, 4 in increasing order.\nAnswer: -8, -0.7, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1012121102210 (base 3) to base 11\nAnswer: 3a924a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 448 + 650 = 5*f, 0 = -f + 5*y + 215. 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: Round -0.00787390226 to seven dps.\nAnswer: -0.0078739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25529?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(9\/4)*p*p*p**(-5\/8) assuming p is positive.\nAnswer: p**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 17*j**2 - j. Let m be o(-1). Let y be -100*(1 + m\/(-10)). Let v = 8 - -2. Calculate the highest common divisor of y and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -125b64 + -328?\nAnswer: -126290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2134981485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 71162*d. Let n(i) = -i. What is n(h(k))?\nAnswer: -71162*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 8, k: 1, h: 7}. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423286 rounded to the nearest one thousand?\nAnswer: 3423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a4 + -203?\nAnswer: -4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284\/9 + 553\/18. Suppose -5*n + 12 = -13. Let x = 35 - 33. Put n, w, x in decreasing order.\nAnswer: n, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.054985 times -0.02\nAnswer: -0.0010997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 16 = -2*v + 4*v, -15613*v - 6*d + 48 = -15609*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 72984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 0. Let b(o) = -o - 2. Let u be b(s). Sort 0, u, 5.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.99. Let m be ((-2)\/(-13) + 20*35\/(-2184))*-3. Which is the nearest to 0.1? (a) m (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + i)*(110 + 107 + 173)*(0 - 3 + 5).\nAnswer: -780*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 11*d - 11. Let n(g) = -2*g**3 + 8*g + 4. Let a be n(-2). Let s(c) = -2*c**2 + 5*c - 5. Calculate a*b(r) - 9*s(r).\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5)*(1034\/(-141))\/(10\/(-25)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4444 + -4746. Which is the second smallest value? (a) -1 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, -142 in increasing order.\nAnswer: -142, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 42. Suppose p = 4*j, 1 = -n + j + 3. Solve -n*d - 3*d = -4*l + 41, d + 25 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-1) - 16)*-7. Let l be 2\/9 + (-406)\/o. Let j(i) = i**3 + 2*i**2 + 2*i + 1. Give j(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*x = -55*x + 5*d + 200754, -2*x + 100376 = -3*d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 49?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 4*p + 2. Calculate the lowest common multiple of t(2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8858076?\nAnswer: 2, 3, 738173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = c - 6*r, -3*c - 5*r + 43 = 0. Factor -3*u**4 - 22*u**5 + 6*u**5 + c*u**5 - 2*u**4.\nAnswer: -5*u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/4 + 7. Let o = q - 9. Let y be (1 + o)\/((-7)\/14). Solve -y + 2 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*sqrt(77))*4)\/(-1*sqrt(1100)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (9 - 6) - (244 - 280)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 18*q = -22*q - 23, 3*o - q - 17 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/15 - 1\/5. Let z(c) be the first derivative of -c**4\/4 + c**3\/3 - c**2\/2 + 48*c + 2. Is 18 a factor of z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 45052.88.\nAnswer: -45052.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7 + 792\/63)*1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33021 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3\/3 + d**2 + 2*d. Let y be k(1). Solve -2*c - 3*c = -3*o, y*c = -2*o + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11310 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -7227853?\nAnswer: 7227854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4110 by 6.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 + -122. Find the common denominator of -51\/130 and (b + 525\/80)\/(1\/6).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 31*p - 41*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n. Let w(f) = 2*f**2 - 6*f. Let o(z) = -5*u(z) - 4*w(z). Let d(b) = -b**2 - b. What is -2*d(l) + o(l)?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*l**3 - 38*l**3 - 33*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 356*t**2 + 3187*t + 402. Determine v(-127).\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 539, 2167, 4885, 8699, 13615?\n\"Answer: t**3 + 539*t**2 + 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:53 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 5*d - 120. Let y(f) = -20*f + 4. Let j be y(d). Let u = j + -325. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-24) + -2)\/(35\/(-10)). Let l = -0.1 + 1.1. Let g = 4 - l. Which is the nearest to 1\/5? (a) 12 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2)*t*t))\/t*t**(2\/31)\/t*(t\/t**(-4))\/(t*t**4))**(-1\/11) assuming t is positive.\nAnswer: t**(29\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 396?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-753)\/7530*2\/(-64)*5*-4\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*s + (4 - 1 + 2)*(-4*s + 3*s - 3*s))*((-2 - 2*s + 2)*(0 + 1 + 0) - s + 0*s + 2*s + 3*s - 2*s + 2*s - 2*s - 4*s + 5*s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 - s + 1. Let b(r) be the first derivative of -8*r**3\/3 - r**2\/2 + r + 1167. Calculate -5*b(h) + 6*m(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 19. Let p be (84\/35)\/((-1)\/(-10)). Calculate the highest common divisor of s and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*j + 10*j - 111*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s)\/(s*s\/((s*((s*s*s**(2\/5))\/s)\/s)\/s))*s**(-1\/4)*s*s**(-3\/8) assuming s is positive.\nAnswer: s**(-1237\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*3\/6*5. Suppose 2*b + 2*b = l. Solve w + 8 + 5 = -b*s, 0 = -3*s + 3*w + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - 64\/6. Let u(a) = 5*a + 1. Let l = -921 - -927. Let w(k) = 10*k + 2. What is c*u(m) + l*w(m)?\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25974 is divided by 1361.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x + 9. Let v(u) = 4*u + 5. Let k(d) = -7*v(d) + 4*z(d). Let j be k(1). Which is the second biggest value? (a) -0.4 (b) j (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597833 is divided by 72615?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 8) + -8 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2817? (a) 1\/4 (b) -3879 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 590 - 591. Let f be (-1)\/y + -2 + 5 + 1. Let i(o) = -o**3 + 2*o**2 + 3*o - 3. Let k be i(2). Solve 0 = 2*x - 5*u, 0*x - 25 = -k*x - f*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328462.7 litres to millilitres.\nAnswer: 328462700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/122233 and -52\/11.\nAnswer: 1344563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -7\/6*j**3 + 9*j + 1\/4*j**4 - 9\/2*j**2 + 0. Let b be z(4). Solve 2*l - 4*p = 7*l + 15, 3*p + b = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-294))\/((-4)\/140)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5941 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:44 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8\/g**(-6\/7) assuming g is positive.\nAnswer: g**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-6))**(15\/7) assuming q is positive.\nAnswer: q**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000707537 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 87*x**7\/7 + x**3\/3 - 9*x - 55. What is the third derivative of g(l) wrt l?\nAnswer: 10440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60430977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4)*(-1 + -1). Let u be 12\/(-42) - (-746)\/14. Suppose -v = n*w - 2*v - u, 20 = 5*v. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - 93. Let u = z - 77.814. Let c = 0.026 - u. What is the second biggest value in -4, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1348, 1343, 1338, 1333, 1328?\nAnswer: 1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 634.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -3.96233.\nAnswer: -4.96233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 18*j**3 + 7*j**3 - 3*j wrt j?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v + 94, -h = -5*v - 301 + 79. Is -194*(-5)\/((-40)\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5427 + 2.5427. What is the closest to t in 3, -2, 47, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/380 and -93\/380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 219. Let y be 0 - (-6)\/33 - 3455\/k. Solve 5*a + y = 73 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 6*g + 4*g)*(1 + 11 + 3)*(g + g - g + (-3 + 3 + 2)*(1 - g - 1) + 2*g + 2*g - 6*g + 0*g + 0*g - 2*g).\nAnswer: 675*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -556 - -851. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, 386, 1572, 3886, 7706, 13410, 21376, 31982?\nAnswer: 45606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)*3)\/sqrt(3)*-6)**2*-1 + 5.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/11, 7, 38?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.087 to 0 decimal places.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:08 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 55, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -216. Solve 6*i = i + l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*g - 76574 = 225153 + 484353. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 68*r - 370. Determine t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -641 + 43*a + 641 - 18*a**2 in the form n*a**2 + g*a + l and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.46 - -1.6. Let j = i + -39.14. Let g = j - -39.9888. Round g to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 40, 50, 76, 124, 200?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let z(b) = 4*b - 5. Let w be z(5). Let f be (w\/9 + -1)*x. Sort 5, -5, f in descending order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(42\/735*182\/12*3)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-126))\/(-11*60\/4620)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29599 by 4.\nAnswer: 29599\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and -81.\nAnswer: -81.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -249 + 200 - w + 40*w + 3*w**2 - 4*w**2. What is the hundreds digit of j(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1197*q - 804*q - 189*q - 43*q + 248004 + 241*q + 4*q**2.\nAnswer: 4*(q - 249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:59 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2431 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -243 - -1212\/5. Let i be (10\/36)\/(2\/6). Which is the second biggest value? (a) q (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(28\/24)\/((-4)\/(-1266)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/12 + 7*p**2. Let a(h) = -5*h + 1. Let n be a(-1). Let w(q) = -n + 0*q + 6 - 2*q. What is t(w(f))?\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uug when three letters picked without replacement from {g: 6, u: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 408, 356, 300?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1260915 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5022.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 17.5, -2, 4, -4, 0, 1.2.\nAnswer: -64, -4, -2, 0, 1.2, 4, 17.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 858500000 to the nearest one million.\nAnswer: 859000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**4\/5 + 44*w**3\/5 - 67*w**2\/5 - 44*w\/5 + 64\/5 = 0.\nAnswer: -16, -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/2)*b\/b**0)\/(b\/(b\/(b*b**(7\/2)*b))*b)**(6\/11))**(-22) assuming b is positive.\nAnswer: b**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 0, 18, 48, 90, 144?\n\"Answer: 6*u**2 - 12*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 64.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -13 + 2)*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*w + (-3*w + 5*w + 9*w)*(2581 - 4457 + 2376).\nAnswer: 5498*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:05 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (-17 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378627659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23961644 and 410368.\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/20547, -3\/5, -0.89?\nAnswer: 2\/20547","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.14. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 54*n - 12*n + (-6 + 0 + 2)*(0*n + 4*n - 3*n) + 2 - 2*n - 2.\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from ooojoooooooooojooo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119033 + -73276. List the prime factors of u.\nAnswer: 45757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (-3*(sqrt(78) + (sqrt(78) - sqrt(78)*2) - sqrt(78) - sqrt(78)) + (sqrt(78)*-2*-2 - sqrt(78)))\/(sqrt(54)\/(1*(sqrt(9) + sqrt(45)\/sqrt(5)))).\nAnswer: 3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2145*l + 1484*l + 5949 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136715580 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50625 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 593836889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 143. Let m be 334\/(-26) - 2\/13. Is m greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - h + (3*h - 4*h + 3*h)*(4 + 0 - 2) + h - h + h + 7 + 2*h - 7)*(-60 + 62 - 66 + (3 + 0 - 2)*(-2 - 2 + 2)).\nAnswer: -594*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2524.425 micrograms to kilograms.\nAnswer: 0.000002524425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaqqqykaq. What is prob of sequence jq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*h - 158*h = -422*h - 356*h + 40230 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.4, -2 in decreasing order.\nAnswer: 3\/2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 227878*f + 227898*f - 683562*f + 227852*f + 0.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1265409*a + 1265409*a - 7*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006568 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/63 + (-2)\/(-9). Let h(b) = -2*b**2 + 5*b. Let o(w) = -7*w**2 + 21*w. Let a(n) = l*o(n) - 9*h(n). Find the second derivative of a(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7434 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176811219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.3 (c) 0.4 (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from {e: 3, h: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-9 - (4 - 10)\/3. What is the common denominator of 39\/2 and (-1*(-2)\/f)\/((-48)\/6976)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*-5 + sqrt(65)\/(sqrt(5)*-2).\nAnswer: -41*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2526 + u**2 - u**2 - 36*u**3 + 2523 + 2696 - 7745.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 53\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5402, -21755, -49242, -88049, -138362, -200367?\n\"Answer: -31*b**3 - 5381*b**2 + 7*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 divided by -25.\nAnswer: 478\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-323))\/(-1*(-2)\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54864 divided by -4\nAnswer: 13716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.91246 minus 1?\nAnswer: -149.91246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27389.9 - 27390. Which is bigger: i or -17247?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 152.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 17695 (b) 1 (c) 0 (d) -9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704))**2 + -1.\nAnswer: -16*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 81 + 0*i + 9121*i**3 + 81 - 3027*i**3 - 3049*i**3 - 3043*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-1203))\/(((-5)\/(-2035))\/(-1)). Let m = q + -2\/401. Let 4\/3*k**2 + k + 0 + m*k**3 = 0. What is k?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2916 and -2048 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 41*p + q - 19 = 0, 9 = -p - 4*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - o**2 - 2*o**2 + (-3*o + 0*o + o)*(o - 4 + 4) - 3*o**2 + 0*o**2 + o**2 + 3*o**2 + o - o + 3*o**2 - 2*o**2 - 2*o**2 - 3*o**2 - o**2 + 2*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8 + 4. Calculate the remainder when 10 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, 389, -1.1, 5, -3, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 12*w**2 + 16*w - 10. Let u(n) = n**2 - n - 2. Let b be u(4). Let k be p(b). Let l = k - -115. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*k, -61*u + 56*u = 3*k + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1588*k*v**3*x - k*v*x**2 - 73*k*x**2 + 110*v**3*x**2 - 22*v**2*x**2 - 3*v**2 + v*x - 10*x**2 wrt k?\nAnswer: 1588*v**3*x - v*x**2 - 73*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 329, 346, 375, 416, 469?\n\"Answer: 6*o**2 - o + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 5, v: 2}. What is prob of sequence vcc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147741566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-2297 + 2299 - 6152*v**2 - 1622*v**2) in the form b*v + f + a*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 33. Suppose -4*l - 19*u = -17*u - 1908, 962 = 2*l + f*u. Is 65 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344 - 341. Solve -2*u = -n*u + 4*c + 5, -c = u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2538)\/405 + 2\/9 + (-120)\/(-20).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + 5*x + 6. Calculate z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:36 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -27050 < -27052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -5)\/(-150) + 1764\/(-135)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/(-2) - (-3)\/(-6). Let i(a) = -6*a - 17. Let u(n) = 0*n + 2*n - 3 - 3*n. Calculate s*u(f) - 6*i(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 79*s**3 - 102 - 3*s**2 + 102.\nAnswer: -79*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 76, 210, 432, 760?\n\"Answer: 3*f**3 + 17*f**2 - 8*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/6 - 2\/(-6). Let b(n) = 49*n - 178. Let v be b(4). Suppose 4 = -4*a, 0*a - v = -f*l - 2*a. Solve 0 = -5*j - l, -7*i - j + 13 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/1)\/(632\/237*153\/(-5372))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13786423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -6761*j**3\/3 - j**2 + 12055*j + 13164. Differentiate r(z) wrt z.\nAnswer: -13522*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 1\/6*t**4 + 0*t**2 + 1\/6*t**3 + 2*t + 0. What is the second derivative of o(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114533 is divided by 409.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40.1 + -18.892484\nAnswer: 21.207516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 40541?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -448. Let d = h - -325. Let k = -7 + 19. What is the greatest common divisor of d and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - -1 - (-7600 + 7590).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**2 - 2*v + 312*v**2 - 549*v**2.\nAnswer: -309*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*2\/(-6) + 77.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (528\/(-1584))\/(2\/(-68291400)). Round p to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1975 + 1977. Solve 9 = 18*r - 21*r - 2*f, -h*r - 3*f = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3807812 and 1832.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -919, -1228, -1461, -1618, -1699, -1704?\n\"Answer: 38*a**2 - 423*a - 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8402.2 and 3813?\nAnswer: 4589.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412948 is divided by 28258.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/105 - (1075\/(-7) - -1). Suppose o + 40 = 3*z. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223210885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722787 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.5421 rounded to zero dps?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - 3*v**3 + 5*v**3 + (2*v + v - v)*(-8*v**2 + 5 - 5) - 2 + 0 + v**3 + 3.\nAnswer: -13*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 5, -2, 0, 3, 755 in decreasing order.\nAnswer: 755, 5, 3, 0, -2, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 15, 2*o + 2*c - 2 = 3*o. Let s be (1\/2)\/((-3)\/(-18)). Suppose 0 = -o*i + 5*q - 21, -2*i = -4*q + s*q + 3. Solve -i = u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 2)*(4*v - 3*v - 4*v)*(18*v - v**3 - 18*v) as h*v**3 + p*v**2 + b + c*v**4 + w*v and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 60*l - 21538. Give f(359).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 6*w - 2*w)*(-9 + 5*w + 9) in the form a + h*w + q*w**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 778*p**5\/5 - 3297*p**2\/2 - 2*p + 33. Differentiate u(t) wrt t.\nAnswer: 9336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8))**(-1\/21)*(d**(-14)\/d*d)\/d**(-12))**(2\/7) assuming d is positive.\nAnswer: d**(-68\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 10*f - 16. What is a(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159\/5*f**2 - 21\/5*f**3 - 72\/5 - 42*f = 0 for f.\nAnswer: -6, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 = -5*v - 3*s, -3*v - 2*s + 727 = 2*s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 0, -3*c + 0*c + 6 = 3*u. Let t be (c\/(-1) - 2) + 3. Suppose x + 3*i - 8 = 0, -x - 4*i + 6 + 4 = 0. Solve 13 = -0*r - x*r - g, -5*r = -t*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = 3*q - 2*u, -3*q + 3*u = 9. Let b(f) = -14*f - 1. What is b(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 4 + 88 = -115*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 11*y + 3. Let r be t(-11). Suppose 0 = -2*o - r*o + 175. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 0.03 (c) -386\/25 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*w**2 + 40*w**2 + 31*w**2 + 3*w**2 + 2*w**2 - 6*w**2 - 2*w**2 + 2*w - 2*w + (2 - 2 + 2)*(2 - 2 - 2*w**2) + (2 + 0 - 1)*(w - w**2 - w).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76, 108, 204, 400, 732, 1236?\n\"Answer: 6*i**3 - 4*i**2 + 2*i + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-25) - (-36)\/15. What is the first derivative of -1 + 7*b - x + b + 0 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o + 4*p - 26, -5*o = p - 20. Let c = o + -3. What is the second derivative of -3*t + t + c*t**3 - t**3 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18285564*-3\nAnswer: -54856692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -856 or -857?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4935 is divided by 266?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2102 divided by -94276\nAnswer: -1051\/47138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/40 and 69\/3020.\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(6\/(-2))*69. Suppose i = 3*n - 37. Does 6 divide 184\/10 + (-8)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15157, -3, -21?\nAnswer: 15157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**3 - 13\/12*c**4 + 0 + 2*c**2 - 1\/20*c**5 - 12*c. Let j be x(-13). Solve -3*q - 2*s = -j, 3*q - 5*q = -3*s - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423.37 + 420. Let k = a + 0.37. Let m = 0.81 + -1.21. What is the third biggest value in 0, 0.8, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 (base 14) in base 6?\nAnswer: -2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 1.1. What is the third biggest value in 8, q, -3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/24 + 7*q**5\/9 - 35*q**4\/72 - 5*q**3 + 3*q**2 - 8. Factor h(s).\nAnswer: -5*(s - 9)*(s - 1)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -12*z**5 + 525*z**4 - 6111*z**3 + 6561*z**2 + 30051*z - 23814 = 0.\nAnswer: -2, 3\/4, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 15 + 0 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(20*a + 5*a - 10*a)*(3*a**2 - 3*a**2 + 2*a**3) + (-1 + 1 - 3*a)*(a**3 - 2*a**3 + 0*a**3).\nAnswer: 63*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -n + h, -4*n - 8*h + 7*h + 867 = 0. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 - 1550*g**4 - 22435*g**3 - 79380*g**2.\nAnswer: 5*g**2*(g - 324)*(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*j = 245*j, 40 = 20*w + 2*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447999.\nAnswer: 3, 23, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*l = 4*w - 15, -12 = -4*l. Suppose 0 = -4*z + 20, 4*z + w*z - 12 = -y. Find the common denominator of 0 + 5\/(50\/y) and 32\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2 - 5697182*s - 8114470685281 = 0. Calculate s.\nAnswer: -2848591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(-4))\/t)*(t**(-2\/15)\/t)\/t*(t**1\/t)**(-3\/25))\/((t**(1\/2))**(-3\/26))**47 assuming t is positive.\nAnswer: t**(4351\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 2\/7, 33, -0.1, -0.2, -8, -9\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 1002977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 2, -3, -2 in increasing order.\nAnswer: -25, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 406, -4149, 5 in decreasing order.\nAnswer: 406, 5, -5, -4149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 250855 = 250765 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 + 13 - 21 - v**4 + 6 + 2*v**2 + 3*v as z*v**2 + g*v**4 + u + b*v**3 + w*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36 * -701119.4\nAnswer: 25240298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 742 - -2127655?\nAnswer: 2130617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 47 = -49. Let s be 21 - g\/(-1 + 3). Solve 2*c + f + 4*f - s = 0, -c - f = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8135 * -29.18\nAnswer: -23.73793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -0.9. What is the second biggest value in d, 1\/4, 0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 3, -0.3, 0.4, -212?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 4. Let h be t(-4). Let o(v) = v**2 + 3*v - 4. Let y be o(-5). Let k be ((-16)\/27)\/(4\/y). Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1079738.6 and -89.04709?\nAnswer: 1079827.64709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 102444444?\nAnswer: 102444412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*c - 57*c + 3*c)*(9*c**3 - 26*c**3 - 10*c**3).\nAnswer: 2916*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**2 - 2*l + 39 + 0*l**2 + 10*l**2 + l**2. Let f(c) = c**2 + c. Let j(n) = -f(n) + y(n). Differentiate j(t) wrt t.\nAnswer: -6*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = 5*a - 13, 5*a - 15 = -5*i. Let o = i - -6. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + 120*u**3 - 24*u**2 - 119*u**3 + 28*u**2 - 1 + 39*u as v + h*u**2 + f*u + y*u**4 + z*u**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 12*n - 24*n)*(49*n**3 + 8*n - 83*n**3 + 70*n**3) to the form t*n**3 + a*n**2 + v*n + s + b*n**4 and give b.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -453575.21 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -4\/7, -0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 2, h: 7, n: 1, p: 6}. What is prob of picking 1 y and 3 p?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54078833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9789272 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 5323752?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27865, -1 in increasing order.\nAnswer: -1, 1, 27865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081209 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x*(x*x**(-1))\/x*x*x**(1\/7)*x*x**(-1\/4))\/((x**0)**(-14)\/(x\/(x\/(x*x\/x**0))*x)**(-34)) assuming x is positive.\nAnswer: x**(-2775\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let c(n) = -n**2 + 3*n. Let j(d) = 28*d**2 - 9*d. Let s(l) = -3*c(l) - j(l). What is s(t(i))?\nAnswer: -100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14812.5ug?\nAnswer: 0.0000148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 4 - (6 - 7 - -6 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 33. Suppose 2*c = 4*q + 70, 3*c - 2*c = -q - 13. Let m be q - (-3 + 1 + 4). Let r be l(m). Put -1, 5, r in increasing order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -624\/23 or 0.04?\nAnswer: -624\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0, -1, -14\/107?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11229*g**3 + 3*g**2 - g + 2. List the prime factors of n(-1).\nAnswer: 3, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 2*i**2 + 2*i. Let a(o) = -o + 6*o - 2*o. What is n(a(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24836983 and 1581?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 349. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 19*l + 11. Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 2*p**5\/105 + 4*p**4\/21 + 2*p**3\/3 + 22*p**2\/21 + 16*p\/21 + 39. Determine t so that v(t) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 2*y. Let j be t(3). Suppose -o - p = -4, -o = -3*p + 8*p + j. Suppose -v + 4 + o = 0. What is the smallest common multiple of v and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((1 + sqrt(180))*3 + 3 + sqrt(180)*1 + 3)**2.\nAnswer: 864*sqrt(5) + 5926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 37875*u + 1326850.\nAnswer: -(u - 35)*(u + 37910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 6 + -47 + 47.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*b**2*g + 5*b**2 - 10*b - 4*g + 10 wrt b?\nAnswer: -300*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1, -3 in descending order.\nAnswer: 22, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -433877.6.\nAnswer: 43387.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**3 - 1 + 3\/5*d**5 + 0*d**4 + 0*d**2 - d. What is the derivative of h(u) wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238287*f + 3299 + 5785 = 238120*f - 2940 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 27 = 54. Calculate the remainder when 75 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(143) + sqrt(143) + sqrt(143)*2) + 6*(sqrt(143)*2 + sqrt(143)))\/(3*(sqrt(1331) - -2*sqrt(1331)) - sqrt(1331))*-4.\nAnswer: 21*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1748.025?\nAnswer: 1748.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 60*l + 263. Let b be k(-6). Sort b, 2, -4, -3 in decreasing order.\nAnswer: 2, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*i - 21, 5*u + 0*u + i + 12 = 0. Let l be (108\/162)\/(1*4\/u). Which is the second biggest value? (a) 1\/4 (b) -5 (c) 0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 <= -606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*z = 16, 8*r = 4*r + 3*z + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91255 is divided by 91184.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 45*l + 42.\nAnswer: 3*(l + 1)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 884, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-6)\/108)*(-76)\/(-760).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m + 4. Let a(h) = h + 1. Let b(u) = -4*u - 6. Let z(k) = 16*a(k) + 3*b(k). What is the smallest common multiple of z(5) and v(-4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + sqrt(468) + sqrt(13)))**2 + -5.\nAnswer: 29947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qarpppqpma. What is prob of sequence aa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 1, q: 2, e: 1, t: 4}. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26472143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286\/65*1*(-15)\/2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -171a2?\nAnswer: -17198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(256) + (sqrt(256) - sqrt(256)*-1) + sqrt(4)))\/((sqrt(320) - (-1*sqrt(320) - sqrt(320)) - sqrt(320)) + 1*sqrt(720)).\nAnswer: sqrt(3)\/700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161872 and 1541.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14025774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*o = -19*o - 1368. What is the lowest common multiple of 474 and o?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t**5 - 6739*t**4 - 1270823*t**3 - 3487173*t**2 - 1666564*t + 556516 = 0 for t.\nAnswer: -373, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + (-170)\/(-40). Suppose 0 = 4*i - 19 + 7. Solve -j - d = i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2544949 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4686 - 4326. Calculate the lowest common multiple of p and 110.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -13. Suppose -o = 2*a - 2, 5*m - a = 93. Let l(g) = -g**2 + 20*g - 25. What is the tens digit of l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719746979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**3 - 7*a + 29*a**3 - 20*a**3 wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 40 = 5*p, -p = -4*q - 4 + 6. Solve -3*w + p = 0, 5*g + w - 5 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 66 = 14*j. Suppose 4 = f - 5*d - 0*d, 3*f + j*d = -6. Are -13\/14 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88)*2*6 + sqrt(88) - sqrt(88) - 1*sqrt(88)*6)*-1)\/((3*sqrt(24)*-1)\/sqrt(3) + (sqrt(800) - 5*sqrt(800)*2)).\nAnswer: -10*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 5*i - 6. Let f be (-2)\/(-9) - (-43)\/9. Let b(a) = 2*a**2 - 9*a + 11. Let k(n) = f*m(n) + 3*b(n). What are the prime factors of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4366, -11687, -19008, -26329, -33650?\n\"Answer: -7321*i + 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1708\/154 + (-15 - -4)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 7*c + 11. Suppose -216 = 40*p - 13*p. Calculate f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 4*f**2 + 5*f. Determine z(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41522 (base 10) to base 5.\nAnswer: -2312042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*o - 4*o**4 - 2*o**2 + 2 - o**3 + o**2 - 391*o - o**2 as l*o**2 + t*o**4 + v + x*o + q*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243190 * 0.213.\nAnswer: 51799.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*m + 4, 4*r + 24 = -0*m + 2*m. Suppose m*l + l + l = 0. Suppose -84 = -2*v - l*v. Calculate the lowest common multiple of v and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -91\/12*l + 0 + 5\/3*l**2 - 1\/12*l**3.\nAnswer: -l*(l - 13)*(l - 7)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Suppose z + s - 3*s - b = 0, 6 = 5*z - 4*s. Let w = 0 - z. Solve 6 = -3*q + 5*q, 0 = -4*o - w*q + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13923 - -28996. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 4. Let a = 255 + -255. What is the closest to a in 2, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 93, -4\/5, 7, -2\/7, 2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*2\/2)\/(-1). Suppose -3*u + 6 = -w, -3*u = 2*w - 5 - l. Solve 3*d - 18 = -2*k, -3*d + 7 = -u*k + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*i + 10, -2*l + 16 = -6*l - 4*i. Calculate the common denominator of ((-1)\/(-16))\/((-5)\/(-452)) and (-8 - l) + 1519\/154.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, 6.\nAnswer: -19, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27246 - -27279. Solve -75 = -8*t + s*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/945*-7*-5. Let m(l) be the first derivative of 0*l - v*l**3 + 8 + 0*l**2. Let j(b) = -3*b**2. Give j(m(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:39 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10542 divided by 5271?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51406, 50040, 48672, 47302, 45930, 44556?\n\"Answer: -b**2 - 1363*b + 52770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355 and 47854?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = -3*r, 2*t - 3 = 5*r - 7. Let m = 0.8 + -0.4. Put r, -2\/11, 4, m in ascending order.\nAnswer: -2\/11, r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*t + 578, t - 3*w - 78 - 213 = 0. Let c = t - 281. Let l = -0.6 - -2.6. What is the third smallest value in l, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(468)*1 - sqrt(468)) - (sqrt(13) + sqrt(104)\/(sqrt(16)\/sqrt(2)) - (sqrt(1300) + 0 - sqrt(13))))**2.\nAnswer: 28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)\/(n*n**(-2\/7)\/n))**(-4\/3)*(n**0)**(-2\/69)*(n*n\/(n*n**(1\/4)))**(-35) assuming n is positive.\nAnswer: n**(-3803\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/2 + 68*o**4 - 5957*o**3\/2 + 50887*o**2 - 289896*o + 241920 = 0. Calculate o.\nAnswer: 1, 9, 24, 32, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) - sqrt(63)))**2*1.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -2, -1, 0 in descending order.\nAnswer: 0, -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, u: 7}. Give prob of picking 2 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/30)\/((-7)\/((-224)\/40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 26*p**2 + 64*p - 30. Let j be s(15). Let k = 58 + -89. Let f = k + j. Round f to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1 + 0*b + b - 2 + 5 + 0*b. Calculate d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1836622 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -991?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Let n = -1370.3 + 1370. What is the second biggest value in n, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559379197.\nAnswer: 53, 29422249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20841547\/84 + 1256056373\/1932. Let g = z - 401699. Let q = 320 - g. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-200)\/(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117819671.\nAnswer: 4073, 28927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.86? (a) 3 (b) -5 (c) -180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140 - -204422220?\nAnswer: 204423410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203242357?\nAnswer: 203242357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.066523*61\nAnswer: 4.057903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 2*l**2 + 2*l - 2. Let b(f) = 4*f**3 - 10*f**2 + 58*f - 768. Let h(d) = b(d) - 5*o(d). Find the first derivative of h(j) wrt j.\nAnswer: -3*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3\/9 + 148*y**2\/9 + 64*y\/3.\nAnswer: -2*y*(y - 16)*(5*y + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16909843 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrsysyyeryyysssrs. What is prob of picking 1 r and 1 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q + 12. Determine b(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 9*k**2 - 2*k - 24. Let z be o(-9). Let y be 43\/12 + -4 - z\/8. Sort 0, -2, y, -4.\nAnswer: -4, -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1335, 1446, 1557, 1668?\n\"Answer: 111*f + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-15)\/20*4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -540b?\nAnswer: 5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127367, 511421, 1151511, 2047637, 3199799?\nAnswer: 4607997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415638 and 554184?\nAnswer: 1662552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35226, -155680, -356434, -637488?\nAnswer: -998842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46436 and 342?\nAnswer: 417924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7783*u**3 + 16033*u.\nAnswer: -46698*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 78.9. Let r = 0.146 - 0.046. Which is the biggest value? (a) r (b) y (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 25\/8840323?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1226891?\nAnswer: 5\/1226891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikfnni. Give prob of picking 1 i and 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3625861706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*a - 608*a = 84 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/49 + -136\/245. What is the smallest value in -2, b, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 147*z**3 + 4 - 3 - 52*z**3.\nAnswer: 95*z**3 - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 31 - 14 = 0. Suppose 8 = -3*i - 1, -r*n = 5*i + 9. Suppose n*l - 21 = -5*x, -4*x + 0*l + 2*l = -24. What is the nearest to 0.6 in -2, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 10:04 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b**3 + 70*b**2 + 2*b - 12. Determine q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/5, -3\/4, 0 in increasing order.\nAnswer: -3\/4, -1\/5, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 12*v**3 + 34*v**3.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 22 = -5*z, 6*z - 19 = 4*z - 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 16*a + 2. Calculate r(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let j be k*0\/(7 - 4). Which is smaller: j or 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.3 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*n - 90 = 0, -3*n = -5*k - 4*n + 65. What is the highest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpwjl. Give prob of picking 1 j and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4306389.\nAnswer: 3, 17, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y - 14733 = -15838 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {j: 13, u: 3, f: 3}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72528, -145059, -217590, -290121, -362652, -435183?\n\"Answer: -72531*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 + 462\/5. Let d = -23 + 23.9. Let o = d - 0.7. What is the nearest to o in 0.4, n, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2. Let b be k(0). Suppose -14 = -4*z - b. Let u = -122 - -124. Solve u - z = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3880662.\nAnswer: 2, 3, 137, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 109508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m**2 + 13*m + 6. Let q(x) = 8*x**2 - 7*x - 3. Let d = -173 - -167. What is d*l(j) - 11*q(j)?\nAnswer: 2*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 6793*f**3 - 13607*f**3 + 6866*f**3 - 1)*(-2*f + f + 0*f).\nAnswer: -52*f**4 + 45*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + 5*f, 2*c + 0 = -5*f + 4. Suppose 28 = -4*y + 8. Let w(m) = -m - 2. Let r be w(y). Solve c - 14 = -r*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Let l(w) = w - 1. Let a be l(n). Solve 4*k - p - 20 = -6, -3*p = -a*k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6212333?\nAnswer: 157, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 293023858 a multiple of 4111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 161*g + 3440. Let w be s(-20). Suppose 2 = 4*r - d - 34, 0 = -5*r + d + 46. What is the greatest common divisor of w and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2288895 and 3206?\nAnswer: 1048313910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 1958415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 8*z**2 - 7*z + 7. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1\/(-2))*(-9 - (-34503)\/3816).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763869.\nAnswer: 293, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 0*y**2 - 6*y**2 + 3*y**2. Let s(d) = 32*d**2 + 36. Let v(u) = 8*u**2 + 8. Let g(w) = 2*s(w) - 9*v(w). What is h(g(x))?\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = -5*f - 4, 5*f = 5*h. Let g = 0 + -5. Put g, h, 2 in increasing order.\nAnswer: g, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 121*v**2 + 8. Let f(h) = -65*h**2 + 10*h - 26. Let a(s) = -96*s**2 + 16*s - 41. Let n(b) = 5*a(b) - 8*f(b). Calculate 3*c(g) - 8*n(g).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -699. Let x = -464 - a. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 134 - 134. Suppose -7*a = -5*a + 5*f - 97, h = -3*a - 4*f + 149. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*n + 879*n = 5*m + 22 + 26, -7*m - 3*n + 2*n = 60 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11629\/10 - -1158. Calculate the common denominator of (-10)\/3*(-54)\/64 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3 + 1. Suppose -2*u + 9 = -1. What is the nearest to -1 in 4\/23, p, u?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89659, 89660, 89661?\n\"Answer: o + 89658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 12*r + 45. Let o be m(-8). Let h(c) = c**2 + 4*c - 8. Let q be h(-6). Suppose -d = -q*d + 15. Solve -3*n = -5*x + 1, 5*x + d*n - 12 = o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 38*b**2 + 245*b + 146. Calculate q(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 436170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - d - 3. Let a(z) = 2*z**2 + 4. Let l(o) = -a(o) - g(o). Let u(m) = -78*m**3 + 65*m - 65. Determine -130*l(f) + 2*u(f).\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let d(w) be the second derivative of -1\/2*w**2 + 139*w - 11\/6*w**3 + 0. Determine d(o(q)).\nAnswer: -22*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7401 is divided by 1545?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134.21541 months to centuries.\nAnswer: 0.111846175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.8507841 to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -899, -1216, -1397, -1424, -1279, -944?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.24+553.25\nAnswer: 553.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -62064910 to the nearest 10000.\nAnswer: -62060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -302, -888, -2376, -5186, -9738, -16452?\n\"Answer: -70*t**3 - 31*t**2 - 3*t - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - f. Let s(n) = -6*n**3 - 4*n**2 + 3*n. What is 4*i(c) + 2*s(c)?\nAnswer: -8*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*k + 38 - 8, -a + 3*k + 14 = 0. Suppose -r = -3*x + 13, -a*r + 11*r = -2*x - 6. Solve -2*o - x*o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65921 (base 10) to base 8\nAnswer: -200601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 6*f**5\/5 - 11*f**4\/3 - 146*f**3\/9 + 66*f**2 - 48*f + 734. Find c such that g(c) = 0.\nAnswer: -3, 4\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 2*c)*(2*c**3 + 3*c**3 - 3*c**3) + (c + 4 - 4)*(4*c + c - 2*c)*(c + 2*c**2 - c).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 17 - (0 + -4) - (-8924)\/(-2522).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**18)**(-4\/31)*(i\/i**19)**(17\/4) assuming i is positive.\nAnswer: i**(-4607\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/3 + 85243*r\/3 + 56830 = 0. What is r?\nAnswer: -2, 85245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4097 equal to -4099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/80)\/(38*1\/8)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90*33\/(-1782)*-4*(-3)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10 + 354\/295.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214035 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -534, -1105, -1710, -2349, -3022?\n\"Answer: -17*b**2 - 520*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:41 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(2\/(-3))\/(-1). Suppose 4*r = -2*o - 160, -5*o - 430 = l*r - 9*r. Let h = o - -99. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 - -161. Let q = -34 + 34.06. Which is the closest to s? (a) q (b) 1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/12 - 7*j**3\/6 - j**2\/2 + 28*j. Let y be o(0). Let b be y\/(12\/8) + 76\/6. Solve -f - 8 = x, 2*x - x + b = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -540 in decreasing order.\nAnswer: 2, -24, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 155*i - 330 = 0. Calculate i.\nAnswer: -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0.03. Suppose 5*d = -2*a + 27, 3*a + 32 - 10 = 5*d. Let c be ((-19)\/38)\/(a\/2). Sort u, 3, c in decreasing order.\nAnswer: 3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 8 - 3*z**2 - 6*z + 11 + 3*z. Let b be x(-3). List the prime factors of (-1)\/((-3)\/b)*-4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18748\/545)\/(-172) + -2 + ((-1032)\/(-10) - -1).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450658434 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, x: 4, r: 4, f: 2, n: 2}. Give prob of sequence rnff.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 13*q + 5*s + 13435 = 0, -3*q + s = -10079. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 15, -205*a + 5 = -210*a - 3*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -715 (base 9) in base 5?\nAnswer: -4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {m: 6, y: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 90880314496 and -9.7.\nAnswer: 90880314486.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/(201\/40 - 5). Is 12 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 6*r - 4*r)*(37 + 43*r - 37 + (-2 + 1 + 2)*(3*r + 0*r - 5*r)).\nAnswer: 82*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4367949173 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 8 - c**5 - 2*c**5 + (-3 + 3 + c**2)*(-4*c**3 + 2*c**3 + 0*c**3).\nAnswer: -5*c**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 20920.3.\nAnswer: -8368.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w - 10. Suppose w*m - 6*m = -25. Suppose -3*l = 2*l - m. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 3*z - 4*b - 56, -3*b = 3*z + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from gjxbi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(931) - (sqrt(931) + 2)) + sqrt(931) + -1)*-5 + -1)**2.\nAnswer: -1330*sqrt(19) + 23636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Suppose w - 12 = x. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1076)\/8877*(-11)\/8)\/(6\/40)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let i(h) = -h + 8673. Calculate b(i(n)).\nAnswer: 2*n**2 - 34692*n + 150441858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**11\/w**(-1\/8))**(-28))**27)**(-18) assuming w is positive.\nAnswer: w**151389","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6442 + -6)\/8*(63\/(-6) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17395743 divided by 93.\nAnswer: -187051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 35*p - 1. Let r(o) be the first derivative of 175*o**2\/2 - 5*o - 1. Let w(j) = 11*f(j) - 2*r(j). Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*t - 65 = 0, 5*n - t - t = 110. Are n and 20 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/480 + 230\/(-184)*183\/30 + 8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11462)\/521)\/((-22)\/108)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3016, 11084, 24206, 42382, 65612?\nAnswer: 93896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*s + 16, 4*z + 0*s = s - 19. Let j be 1\/(-2)*(z + -3). Suppose -4*m = 3*v - 187, j*m - 82 = -v - 25. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 39 + 3 + 14 - x**2 + 12.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*s - 383*s = 343*s + 22764 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**3 - 6*t**2 - 6*t - 4. Let o(w) = -w**2 - w - 1. Let i(g) = h(g) - 5*o(g). Let p be i(1). Solve 3 = p*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -850.227*0.5\nAnswer: -425.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25779527 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2)\/((4 + -5)\/22). Let d(z) = 4*z**3 + 12*z**2 - 32*z + 1. Let c be d(3). What is the greatest common divisor of c and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 - 5*h - 4. Let q(r) be the third derivative of -3*r**5\/20 + r**4\/4 + 5*r**3\/6 + 10*r**2. Give -4*q(a) - 5*w(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496216852.\nAnswer: 2, 601, 206413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25524042 + 3?\nAnswer: -25524035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (12 - 27) + 21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 - (-131 + (18 - -14))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -0.11, 1 in increasing order.\nAnswer: -0.11, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5208 is divided by 62.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-1)\/(3\/(-36)) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13457280 is divided by 4485747?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*z - 135*z - 3 + 266*z + 2*z**3 + 17*z**4 to the form d*z**2 + a*z**4 + b*z**3 + h*z + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 9 + 52 - 2 - 3. Let h be r(-13). Suppose 3*w - 3*f - 2*f = -17, 4 = h*f. Let m(y) = -y**3 - 3*y**2 + 5*y + 2. Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 135, 210, 289, 372?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 17 + 3. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/12 + p**2. Let l(t) = -7*t**2 - 11*t. Let s(f) = 4*f**2 + 6*f. Let u(n) = -6*l(n) - 11*s(n). Give u(z(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.76226 weeks to minutes.\nAnswer: 491523.5808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*i = i, i = -f - 1. Suppose 3*j - f*q = -37499994, -4*q = j + 3*j + 50000012. Round j to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67797\/8 or 8474?\nAnswer: 8474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -1, 2*y - 891 = -5*a. Suppose -6*t + 79 = -a. What is the remainder when t is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.1. Let h = 6094 + -6094.9. Put h, -2\/19, 0.5, m in decreasing order.\nAnswer: 0.5, -2\/19, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 105. Suppose 0 = 5*v - 9 - 6. Let n = v + 0. Solve -n*r + u = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25157021 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 5 - (4 + 2). Let r be 1\/w*63\/(-28). Which is the smallest value? (a) r (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.432 - 0.012. Let t = j - 0.42. Let i = -149 + 147. Which is the second biggest value? (a) 3\/2 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -5*w**4\/24 - w**3\/2 - w**2 + 8*w. Let t(y) be the first derivative of q(y). Determine t(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:25 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:31 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 23. Let m be k(3). Let c(r) = 3*r**3 - 28*r**2 - 23*r - 12. What are the prime factors of c(m)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 2. Let i be q(-11). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6838080\/480*(2\/(-6))\/(2\/(-3)).\nAnswer: 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 19*a. Let m(u) be the first derivative of 38*u**3\/3 + 2605. What is g(m(x))?\nAnswer: -4332*x**4 - 722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5, 79411, -36 in ascending order.\nAnswer: -36, -3, -2, 5, 79411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19400 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**8\/1344 + j**7\/21 - 11*j**6\/20 + 271*j**5\/120 - 457*j**4\/96 + 23*j**3\/4 - 6793*j**2. Factor h(w).\nAnswer: (w - 3)*(w - 1)**3*(w + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -246.21.\nAnswer: -14033.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and 0.0404 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 49. Suppose -2*v - 76 = -5*x + v, 2*x - m = -5*v. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2677338 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 120 = -5*i. Suppose h + 2 = i. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*(sqrt(128) + -1) - (0 + sqrt(128))*2 - -1*-2*-3*sqrt(128)))**2.\nAnswer: 80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3398 = 4*b + 3408, 0 = -2*d + 3*b + 6807. Does 16 divide (3\/(-9))\/(4 - 13625\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022733911536 to 7 dps.\nAnswer: 0.0227339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.8622 - 0.1378. Put n, -4, 4, 1 in descending order.\nAnswer: 4, 1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2899435 and 2380.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 5 - -4)*45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*k + j, -4*k - 184*j + 179*j - 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.86863l?\nAnswer: 98868.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57404, -114818, -172232, -229646, -287060?\nAnswer: -344474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:37 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7320 from 10.337.\nAnswer: 7330.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 4 + 4 + 5*b - 2*b - 6*b + (-4*b - 4*b + 6*b)*(-4 + 4 + 4) - 114*b + 53*b + 40*b + (-1 + 0 + 2)*(3 - 2*b - 3) in the form l + p*b and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7295353.\nAnswer: 13, 561181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 53 - 43 + 4*u - u - 19.\nAnswer: 3*u - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, 4*f = -4*g - 0*g + 36. Find the third derivative of -5*u - g*u**2 + 5*u - u**6 + 3*u**2 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - ((-2 - 22) + 10) - (11 + -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2310)\/20)\/(-21)*-6\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:23 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17867 * -1\nAnswer: -17867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 2. Let p be ((-28)\/a)\/2*-3. Suppose -p + 121 = 3*m. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*u + 3510 + 5046 = -4117 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, w: 3, p: 4}. What is prob of sequence ppwp?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-5)*9\/(-18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6)*4)\/(852\/(-7968330)*290)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 38. Give s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -8620516.\nAnswer: -8620513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 3*r**2 + 1684 - 1731 in the form w*r + j*r**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3*4\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 284*p**2 - 30246*p.\nAnswer: -2*p*(p + 213)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 + 87)*(6\/4 - 1)\/(-2).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31289 - -5?\nAnswer: -31284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:50 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141*p**2 - 21?\nAnswer: 282*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -624*z - 3675 wrt z.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 382283.3cm?\nAnswer: 3822833000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 682*c**3 - 114217*c**2 - 703824*c - 1065024 = 0.\nAnswer: -3, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389919519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 27 = 14*v. What is u in 6\/11*u**2 + 2\/11 + 2\/11*u**v + 6\/11*u = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s**2 - 4*s - 3. Let d be o(-2). Suppose 6 = 2*z, a + 2*z = 2*a - d. Let n = -58 + a. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from {r: 1, g: 2, o: 3, e: 2, w: 1, h: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 13408480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626440 divided by 5090?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 311757.7 litres in millilitres?\nAnswer: 311757700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 30*m + 72 = 0. Let u(l) = l**2 + 2*l + 3. What is the lowest common multiple of m and u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w - 9*w + 9 + 3*w. Let q be b(-6). Find l such that q*l**3 - 7*l**2 + 10*l**2 + 4*l - 19*l + 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 12. What is the remainder when 42 is divided by q(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w. Let s(b) be the second derivative of -5*b**4\/3 + 2*b**3\/3 + 661*b. Calculate s(z(v)).\nAnswer: -500*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 0*t**3 - 2*t**3)*(-2*t + t + 2*t) + (-14006*t**2 + 14009*t**2 + 16 + 34)*(1 - 1 + 8*t**2).\nAnswer: 25*t**4 + 400*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -8*j - 15. Solve x - 4 = -j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 21*w - 182. Suppose -t + 17*l - 13*l = -w, 2*t + 4*l - 74 = 0. What is the remainder when 288 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1344 is divided by 123?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**3 - 12*s**2 + 12*s**2 - 2*s)*(2 - 2 - 4)*(50 - 50 - 17*s) in the form u*s**3 + g + f*s**2 + n*s**4 + y*s and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -1\/4, -43, 5, -0.1, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27106207 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (416 - 566 - 709)*(0*x**2 - 2*x**2 + 0*x**2) + 1 - x**2 - 1 as v*x**2 + k*x + r and give v.\nAnswer: 1717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79994 and 47.\nAnswer: 79994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-30*n**2 + 4*n**2 - 21*n**2 + n**2 - 1 + 1 + (2*n + 0*n - n)*(0 + 2*n + 0)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.5 + 33.085. Let y = j - 2.1. What is y rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46\/153 - 7\/17. Let r be (3\/(-2))\/((-1)\/(-2)). Let n be (0 - 0)\/(r - -1). What is the nearest to n in 0, i, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, x: 4, n: 1}. Give prob of picking 2 x and 1 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-801)*2\/((-30)\/15)\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = d - 2. Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 8*o**2 + o - 5. Let n be y(8). Suppose 4*q = -t + 112, -n*q - 4*t + 124 = q. What is the units digit of 912\/q + (-4)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*r = n - 26, -2*n - r + 109 - 123 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 34. Solve b - 5 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/200*28 - (-32)\/80?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*n - 347. Let m(a) = -2*a - 33. Let i be m(-18). Suppose 2*k + 2*c = i*k + 1, 5*k + 2*c - 55 = 0. What is the greatest common divisor of k and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15636235?\nAnswer: 5, 73, 42839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 2*g**5 - 3*g**5 + (3*g**5 + g**5 - 3*g**5)*(-2 - 2 + 2) + 2*g + 5*g**5 + 0*g + 4*g**4 - g**4.\nAnswer: g**5 + 3*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -61, 1, -1, 169.\nAnswer: -61, -2, -1, 1, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 1570808*v\/3 - 616859443216\/3.\nAnswer: -(v - 785404)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1416\/1 - (5 - 2 - (3 + 2)). Is q at most 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 + 152. Suppose -k + 40 - a = 0. Is 22 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 0*x**3 - 2*x**3)*(-x + 6*x - 7*x) - 177*x**3 - 198*x**3 - 173*x**4 + 375*x**3.\nAnswer: -169*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1145 or 1129?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 810605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -29201*b + 1. Let i(o) = -1478*o. Give i(g(d)).\nAnswer: 43159078*d - 1478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/(-12))\/(3\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*a + 2*p, 2*a - 18 = 5*p - 50. Let z be (a - (644\/(-36) - -6)) + -5. Factor 8\/9*l + z + 2\/9*l**2.\nAnswer: 2*(l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3.1. Let u = 6.1 - c. Let f = -3 + 0. What is the second biggest value in f, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.387496 years in months?\nAnswer: 52.649952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-6)*o\/o**(-20)*o**(1\/17)*o**(-11) assuming o is positive.\nAnswer: o**(103\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 + 8*f**2 - 10*f + 8. Suppose -11*s + 6*s - 5*u + 20 = 0, 0 = 5*s + 4*u - 19. Does 7 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(28\/5)*a**(-34))\/(a**(8\/11)*a*a**(-3\/4)\/a*a) assuming a is positive.\nAnswer: a**(-8267\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 80 = i, -3*k + 32 = -3*i - 13. Calculate the remainder when k is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-34)\/(-2))\/(4 - -3 - 6). Suppose a*d - 66 = 410. What is the greatest common divisor of 56 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4118 - n**2 + 8596 - 4478.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 378349.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167.1 - -11. Let t = k - 178. Which is the biggest value? (a) t (b) -23 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3226.\nAnswer: -2\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 50*c - 3*q = 30, -5*c = -q + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 6531\nAnswer: -3918.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 - (-9 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16691 or 33383\/2?\nAnswer: 16691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4456399712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 12 = -k, 2186*s = k + 2185*s + 12 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 2*y**4 + 10973*y**3 + 184*y**2 + 3*y - 2?\nAnswer: 120*y**2 + 48*y + 65838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9891187*g**4 - 11234262*g wrt g?\nAnswer: -118694244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474396 is divided by 1508?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 4124?\nAnswer: 4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g + 12. Let o be z(-8). Is (o - 1)\/(16\/32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = z - 8799, 3*z + 4*h + 15568 = 41966. Is (z\/3)\/((-36)\/(-54)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505*4.45.\nAnswer: 2247.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -19*n + 18. Suppose 2*k - 8 = 0, -2*k = -a - 0*k - 86. Let m = a + 81. Solve -m*z - 12 = 3*t, -n*t - 2 = z - 3*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12388?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 25*w**2 + 11732*w - 11732*w in the form d*w + p + l*w**2 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**8\/3360 + u**7\/1680 - 5*u**5\/12 + 17*u**2. Let n(h) be the third derivative of q(h). Let k(d) = d**2. Determine n(k(y)).\nAnswer: 6*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5))\/s**(2\/3))\/((s**0*s)\/s)**(18\/11)*s*s**(-9)*(s\/(s\/(s*s*s\/s**(-5)*s*s*s*s)))\/s*s*s*s**(4\/5)*s**(-4\/3)\/s assuming s is positive.\nAnswer: s**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {r: 6, l: 2, n: 2, u: 3, f: 1, c: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 48.19. Let u = p + -0.33. What is u rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133924182 by -10122.\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 + 130*u + 1500 = 0.\nAnswer: -50, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15228387271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.82 and 0.1.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429 at most 67771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(4*sqrt(99) + sqrt(11) - sqrt(11)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 7*b - 9. Let p be y(2). Let i = -0.653 + -35.347. Put -1\/4, p, i in decreasing order.\nAnswer: -1\/4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8744608 divided by -1.\nAnswer: -8744608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -841\/5, -1238, 5, -1 in increasing order.\nAnswer: -1238, -841\/5, -1, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 15 = 3*l, -688 = -5*l + c - 770 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoc when three letters picked without replacement from {r: 2, o: 1, c: 4, z: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 679 + 220 - 429 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-6)*(-420)\/2548*-26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b. Let c(y) = 52*y + 59. Determine v(c(f)).\nAnswer: 728*f + 826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7*j + 10*j - 739, 4*v + 3*j = 2938. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:02 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**2 - 123. Let u(k) = 2*k**2. Determine f(u(q)).\nAnswer: -36*q**4 - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19430 - -53271. Is a a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.1, -19, -1\/19 in decreasing order.\nAnswer: 6, -1\/19, -0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/32 and 51\/2272.\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 2 - 12)*(28*i + 19 - 19) to j*i + b and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -154. Let z = s - -43.997. What is z rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1267 - 0.93868000602\nAnswer: -1267.93868000602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*l**2 - 22 + 12*l + 23*l**2 - 12*l wrt l.\nAnswer: 110*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1991491461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 116 = 4*j, -3*j + 0*j = 4*v - 108. Suppose -k = -2*k + 2, -k + j = -5*m. What is the units digit of -2*(2 + m + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 2*o**2 - o + 1. Calculate g(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 8 in ascending order.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4 + 0 + 0*p**5 - 4\/105*p**7 + 0*p**3 + 0*p + 0*p**6 - 26*p**2. Find the second derivative of q(n) wrt n.\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 5*z**5 + 613*z - 613*z + 90*z**4 + 604*z**2 + 36*z**2 + 477*z**3.\nAnswer: 5*z**2*(z + 2)*(z + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/521? (a) -0.0472 (b) 2 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.57482 - -35.18398. Let u = -36.9 + x. Round u to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75459504 by -25153168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*r - 0*t - 21, 2*r = -2*t + 10. Let m(n) = n**3 - 41*n**2 + 36*n + 164. Let d be m(40). Solve r*h = 2*s + 18, 20 = 8*h - 4*h - d*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 123. Suppose -31 = -n*s + 38. Factor 2\/11*z**4 + 0 + 0*z + 4\/11*z**s - 6\/11*z**2.\nAnswer: 2*z**2*(z - 1)*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-7)\/d))\/d)\/(d\/(d**(5\/6)\/d)*d)*d**9*d**(-1\/3)\/d)**1 assuming d is positive.\nAnswer: d**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 2*p - 4. Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -6.9. What is the second biggest value in 1, 1\/3, -1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3729 + 17333 = -597*j + 1361 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8851\/3 - -5951\/2. Suppose -v + 2*b - 3*b - 8 = 0, -4*b - 36 = 5*v. Find the common denominator of m and ((-159)\/(-9))\/(v\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2\/2 - 3. Let c be p(-3). Solve 0*s = n - 2*s + 11, -c*n - 3*s + 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 72 - 36 + 2*o.\nAnswer: 2*o - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 12*b + 18. Let t be p(-9). Suppose -4*z + m = 5*m - 1032, 0 = z - 5*m - t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 1. Let m(l) = 1333*l**2 + 17*l - 6. Determine -m(o) - 6*x(o).\nAnswer: -1333*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 673657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24894 and 78515.\nAnswer: 103409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 40 = 4*s. Let g be (-378)\/(-2)*((-21)\/(-9))\/s. Let p = -55 + g. What is the remainder when 78 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2104, -1\/3, -0.05, 2, -128, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/15 - (-2)\/(-6). Which is smaller: 19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4077854 divided by 88649\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-15)\/(-21) + (-56)\/98)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657 + 670. Let t be 4*(-4)\/8 + 734. Suppose -g*x = -19*x + t. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o - 38*a + 212428, 4*a = -5*o + 265535. What is the ten thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 1, z: 1, h: 5, u: 6, s: 1}. What is prob of sequence hd?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134842 is divided by 44941.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2. Let t(u) = 6*u**2 + 11*u - 11. Let y(q) = q**2 + 2*q - 2. Let n(m) = 2*t(m) - 11*y(m). Calculate f(n(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933977848.\nAnswer: 2, 7, 61, 157, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 81939816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 17, -0.2, 18\/7, 5\/4.\nAnswer: -2\/5, -0.2, 0, 5\/4, 18\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/18*6)\/(6\/27). Sort q, -2, -25, -1 in ascending order.\nAnswer: -25, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2010400 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 4. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 7*r - 6. Solve x = -0*x + r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302647, -605294, -907941?\nAnswer: -1210588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5896050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10714305 (base 9) to base 3\nAnswer: -100210111100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.105 - -0.205. Let w = 6621\/3788 + 2\/947. What is the third biggest value in 2, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (0 - -1))*11. Let i = 59\/2 - 117\/4. Is i at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/15 + 22012*t\/15 - 10658032\/5 = 0. What is t?\nAnswer: 1722, 9284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**3 - 3*k**2. Let g(n) = n**3 - 2*n**2 + n - 3. Let r(y) = 8*y**3 + 6*y**2 - 4*y + 12. Let m(t) = 4*g(t) + r(t). Give 3*m(q) - 2*z(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t + 9*t**2 + 6*t)*(3*t**2 + 0*t**2 - t**2) to b + z*t + n*t**2 + y*t**3 + r*t**4 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1050.\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.164*1\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3542455642.\nAnswer: 2, 11, 607, 265273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2220*u + 16378. What is n(7)?\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1043)\/(-49) + ((-1)\/(-21))\/((-41)\/246)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 21070.\nAnswer: 189630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 2. Suppose -o = -5*y + 19, 5*o = 2*y - 7*y - 5. Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -17, -54, -32?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4165 = 4*d - 21*d. Calculate the remainder when d is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -930 - 5415?\nAnswer: -6145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qqtffqfffttg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43968*v - 43953*v - 2 + 2 + 87845*v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6*a + 15 = -3*a, 5*a = 5*d - 65. Calculate the remainder when 71 is divided by -36*3*(-2)\/d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/97 - -732\/1067. Let d be 26\/156*6\/(-4). Which is the third smallest value? (a) z (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 25226\nAnswer: -5045.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 2*k. Let q(v) = -v**2 + 6*v - 4. Let p be q(4). What is r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76734 - 5?\nAnswer: 76728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - -566 - 0\/(1 - 0\/6) is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*p - 74*p = 90150. List the prime factors of p.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6623 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let t be (48\/(-5))\/2 + u. What is the closest to 0.1 in t, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17413.001 - -17405. Let p = 3 - 11. Let s = m - p. Round s to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -76*g + 2346. Is r(-117) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 17*f**2 + f - 12. Let l be m(17). Which is the smallest value? (a) 0 (b) 0.05 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*x - x. Suppose 0 = -x*o + 3*o + 76. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:05 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211153.5117 rounded to the nearest one thousand?\nAnswer: -2211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-105))\/(263296\/(-271040))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 352335 or 352260?\nAnswer: 352335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048719 is divided by 277?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h. Suppose -c + 16 = -4*b, 4*b - 32 = -5*c - h*c. Sort -2, c, 2.\nAnswer: -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p + 6. Suppose -b - b + 4 = 0. Suppose 0 = 5*n - 5, -2*n = 2*i - i - b. Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7751346 or 48?\nAnswer: -7751346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7717655 + 7717551 = -4*w, 4*y + 2*w = 96 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7 + 43. Let p = -20 + n. What are the prime factors of 6\/(-3) + p*15 - -1?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*96\/(-320)*14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4476 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -26. List the prime factors of (-2002)\/(-14) + 5\/((-15)\/b).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28404 divided by 6.\nAnswer: 4734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 312450 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**5)**31*o**(1\/26)\/((o\/(o*o*(o*o*o*o**0*o*o*o)\/o*o))\/o) assuming o is positive.\nAnswer: o**(-3015\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s = -6. Sort 2, s, 5, -1.\nAnswer: -1, 2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 12630*f**4 - 2*f - 4 - 8 - 12635*f**4 + 4*f**2 as o + n*f**3 + l*f**4 + u*f**2 + z*f and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 11) to base 14.\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2\/11 (c) 79 (d) 3 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(14\/(-70)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 1511*a + 1507*a = 23, 4*d + 5*a - 2 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3168.\nAnswer: -1\/1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 34 = -54. Let l be 6*(-2 - i\/(-6)). What is the units digit of -21*(l\/6 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34026.\nAnswer: 2, 3, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -524 - -812. What is the units digit of (-10 - 0)\/(-2 - w\/(-146))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -190\/151747 less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 32*s - 13*s**2 + 19*s + 0*s**3 + s**3 as v*s + c + f*s**3 + l*s**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-188)\/(-5))\/(((-6192)\/180)\/(-43))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 1270*a - 62661. Give k(46).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 76*l - 85269. Calculate b(1122).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 1, h: 4, e: 2, y: 1}. What is prob of sequence yh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -14) + (-1 - -3) + (2156 - 2152)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160738 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 + (-858)\/(-4). Let s = t + -897\/4. Let g = -61471\/20 - -3068. What is the common denominator of s and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h - 3. Let q = -43 + 39. Calculate u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -7713*v**4\/2 - v**3\/3 - 2*v**2 - 2*v - 11. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50122 + 1553994\/31. Do 7 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37278 - -13?\nAnswer: -37265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4600 and -41\/165.\nAnswer: 151800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, 0.5, 0.1567, 7, 10?\nAnswer: 0.1567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 210*o = -294*o - 41952 + 90336 for o.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44648 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 6*q**2 - 4*q**2)*(1 - 7 + 3)*(-5*q + 4*q + 0*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 12*k + 5. Suppose -91 - 8 = 9*y. Let a = y - 1. Let j be h(a). Is 15\/4 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/79731967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c + 31\/8*c**4 + 16*c**2 + 8 + 0*c**3. Let w(l) = 2*l**2. Let a(j) = 3*j**2. Let y(f) = 5*a(f) - 7*w(f). Determine v(y(z)).\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (-57)\/(-12)) + 207\/4. Let l = -151 - -151. Suppose 0 = 3*u + 12, 0 = -4*n + u - l*u + s. Calculate the highest common divisor of n and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44030 - 12633?\nAnswer: -56663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.85 + 0.15. Put -2, 0.02, g in descending order.\nAnswer: g, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**4 - 3*c**4 + 2*c**4)*(-c + c + c) - 2*c**5 + c**3 - c**3.\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43644356 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1866 + 2767. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61447157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -76244 divided by 19061\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 110. Suppose -2*g - 10 = -4*g. Suppose -9*v + g = -l*v. Calculate the highest common factor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k - 120. Suppose 2*p + 2 = 0, 2*h - 63 = 4*p - 3*p. Let t = h + k. What is the least common multiple of t and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010 (base 3) to base 13.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*w - 4*w + 8 = 0, 4*j + 16 = 4*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 + 315*c**3 + 5115*c**2 + 4805*c = 0. Calculate c.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 1443*i**2 + 3*i + 1443.\nAnswer: -3*(i - 1)*(i + 1)*(i + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(168)*2 - sqrt(168)) + sqrt(168))\/(sqrt(12) - 2*sqrt(108)))\/((sqrt(84)*2*-5)\/(sqrt(1452)*2)).\nAnswer: 66*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293663571 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 451 + 2*n**2 + 1065 + 927 - 363 + 139*n - 415*n.\nAnswer: 2*(n - 130)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.064 + 0.064. Which is the third biggest value? (a) x (b) -1\/3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/600 and -127\/1100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 20*r**6\/3 + r**4\/2 + 55*r**3\/3 + 1. What is the third derivative of i(l) wrt l?\nAnswer: 2400*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - 285\/190.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 46 + 75 = 4*c, 2*f = 5*c - 19. Solve -4*u = f*t - 4 - 11, 0 = -4*u - 5*t + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -7)*(-277)\/(-2)*1. Let d = q - -461. Calculate the remainder when d is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3742375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 4 (c) 0.08 (d) -0.5 (e) -16.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 0 - 42)*(3*l - 3*l - l).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*m**3 + 9*f**3*m**2 - 13*f**3 + 7285*f**2*m**3 + 8*f**2*m**2 + f*m wrt m?\nAnswer: 6*f**3 + 43710*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 98, 176, 272?\n\"Answer: 9*k**2 + 33*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from innvrninb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4711 + 4710.3. Let v = 63\/4 + -15. What is the nearest to g in v, -0.1, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 35*u**2 + 12*u - 17. What is j(17)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.1. Let y = -12 + 18. Let t be 18\/8 - (y + -4). Which is the third biggest value? (a) t (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:56 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -455000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.39 (b) -4 (c) -0.1 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(11\/33*-5)*(-10)\/20\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 10\/338944261 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:28 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41188513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -38 - (-3 - (-1 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-24)*-2 + 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (6\/3)\/1. Let z = 22 - 15. Suppose 4*b + 4*r - 168 = 0, -b + 41 = 4*r - z. What is the highest common factor of b and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -3, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1399124, 2798259, 4197396, 5596535, 6995676?\n\"Answer: x**2 + 1399132*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1774714 (base 9) to base 3.\nAnswer: -1212111210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/82*(-4)\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p + 45. Let u be d(-3). Put -2, u, -1, 4 in decreasing order.\nAnswer: 4, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uumu when four letters picked without replacement from uuuummm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -224*m + 251\/12*m**4 + 0 - 175\/6*m**3 + 0*m**2. What is the second derivative of t(s) wrt s?\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.579 to 1 decimal place.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 3.6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 10*g - 17. Let r = -10 - 3. Let j be m(r). Let q = -4 + j. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 741 - 314. Let q = g - 403. Solve -2*p + q = 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*s**4 - 25*s**4 + 18*s**4 + 3*s**4 + 1 - 1 + (3*s**2 + s**2 - 5*s**2)*(2*s**2 + s - s).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56454 is divided by 9407.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*t, -2*y + 3*t = y - 18. Which is greater: 12\/5 or y?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 10000011001100?\nAnswer: 10000011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -822*l**3*z**6 - l**3 - 29*z**2 wrt z.\nAnswer: -98640*l**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172*-0.1.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -58077.981 rounded to the nearest 100?\nAnswer: -58100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 421.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u - 13405. Let n(a) = 5*a - 6702. Determine 7*n(p) - 3*q(p).\nAnswer: 2*p - 6699","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018437434 to 5 decimal places.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/4 - 299*y**3\/2 + 447*y**2 + y + 17. What is z in d(z) = 0?\nAnswer: 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let o = -99 + 98. Let m(u) = -7. Let a(c) = 1. Let q(x) = 6*a(x) + m(x). Let k(n) = 2. Let f(j) = -k(j) - 3*q(j). What is o*r(i) + 2*f(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 0, 6*o = -x + 7*o - 29. Does 8 divide (-12141)\/x - 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*u + 2790 + 6452 + 7945 = 156*u for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = 5*k - 2*k, -5*k - v = -5. Solve k = -39*r + 32*r - 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446514 is divided by 6868?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) -1 (d) 0.3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40774 is divided by 20360?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -386 and 0.02.\nAnswer: -385.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9008*j**3 + 28*j + 56. Let k(c) = 1001*c**3 + 3*c + 6. Calculate -28*k(t) + 3*n(t).\nAnswer: -1004*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 289437611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6202, 6204, 6206, 6208, 6210, 6212?\n\"Answer: 2*i + 6200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 9. Let d be w(-11). Let g(p) = d + p - 5 + 1. Let b be g(2). Sort 2\/23, 3\/8, b in decreasing order.\nAnswer: 3\/8, 2\/23, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 387\nAnswer: -387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab90 (base 13) in base 6?\nAnswer: -302510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2022213113 + 121?\nAnswer: -2022212332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161845.\nAnswer: 5, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 63*t - 34. Calculate the remainder when 59 is divided by d(-22).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q - 8. Suppose 5*p + 13 = -12. Let s be a(p). Let l = s + -12. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 22*b**2 - 650*b - 180. What is s(30)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**4 - 13*d**4 + 25*d**4 - 1 + 8*d**2 - 13*d**4 - d**3 to the form b*d**4 + o*d**3 + w + q*d**2 + i*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 2*n + 154. Determine q(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/3 + -2 + 0. Suppose 2*c + m = 13. Solve c = 3*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-100)*(138\/20 + 3\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b + 33. Solve -b*w - 3 = -9*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*a - 3 + 39 = 0, -10 = -2*a. Suppose l*k - 3*k = 68. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*b + 37, o - 6*b + 5 = -9*b. Solve u - 1 = v - 5, -o = 2*v + 3*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 2 = -13*g + 2*l, 5*l - 16 = g. Let v be 8\/(40\/145) - (g - 2). Calculate the highest common factor of 176 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfd when four letters picked without replacement from dddddfdddddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 117, 0, -2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116439171799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 8*l + 8. Let i be x(-8). Let q = i + -4. Solve -d - 3 = -q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 57*a - 744. Calculate v(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/9 not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7851 - -9749. Round b to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72792663.\nAnswer: 3, 24264221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*z + 0)*(-23*z**3 + 28*z**3 + 84*z**3) + (5*z - 2*z**3 - 5*z)*(-7*z + 0*z + 3*z) + 3*z**4 + z**4 - 2*z**4.\nAnswer: -257*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 15*a**2 - a - 18. What is r(15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 76848500 to the nearest one hundred thousand.\nAnswer: 76800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 2. Let z be g(7). Suppose 0 = -5*m - 6*x + 9*x + z, -4*x + 8 = m. What is the remainder when 34 is divided by (-14)\/3*(1 - (m + -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 68 = -41*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(3\/(-2)). Let q = 10 - 42. Let l be 2\/(-3)*((-67)\/q + -2). Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h - 9*h - 3*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f**0\/f)\/f)\/f))**(-30)\/(f**2*f*f**(-5)) assuming f is positive.\nAnswer: f**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2849645 is divided by 266.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**4 + 9\/2*x**2 - 1\/10*x**5 + 0*x**3 - 14*x + 0. What is the first derivative of b(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2 - (-7 - -3)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3000*b**4 - 8340900*b**3 + 2502090*b**2 - 250203*b + 8340 = 0.\nAnswer: 1\/10, 2780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132.28 - -132.38. Suppose 5*i = 2*a + 10, 2 = -5*i + 12. What is the closest to a in r, 2\/3, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u + 34. Let k(q) = -198*q - 324. Calculate 48*h(c) + 5*k(c).\nAnswer: 18*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.671304 rounded to one decimal place?\nAnswer: -117.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 - 185 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112*-114*85\/(-90440).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24068*c**2 - 24072*c**2 + 48077*c**2.\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g*v - 468*g - 41*v wrt v?\nAnswer: 7*g - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12505 + -12508. Which is the closest to 0.1? (a) -0.2 (b) t (c) 0.2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from iiiiigiiggii?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-284)\/426)\/(119\/(-18) - -6)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.16 (b) -190 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-384)\/(-80) + (-2)\/(-10). Suppose 0 = 4*v + 5*x - 38 + 1, -o*v + 68 = -x. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/3 - 776*k\/3 - 71176 = 0. What is k?\nAnswer: -186, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12845, 51489, 115929, 206165, 322197?\nAnswer: 464025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31775, 63592, 95441, 127322?\n\"Answer: 16*u**2 + 31769*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(-125*(-150)\/131250)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)*h*h\/(h\/(h**4*h)*h*h))\/((h*h\/h**(-1\/6)*h)\/((h\/h**(-2))\/h)))**33 assuming h is positive.\nAnswer: h**(199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533051 is divided by 33285.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 10*r = 14*r + 18597. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 34 = -2*c, -3*c = -4*c + 2. What is the highest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 divided by -2578?\nAnswer: 323\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90221944713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2460 + -6154?\nAnswer: -10634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -66. Put u, 5, -3, -1 in decreasing order.\nAnswer: 5, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.029 or -80?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24 + 60a?\nAnswer: 62e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 224 = -8*o. Suppose 10*m = 9*m + o. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549739.7l in millilitres?\nAnswer: 549739700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h - h + 191 + 2*h**2 - 182 - h**3 + 7*h**2. Calculate n(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 divided by 4260?\nAnswer: 121\/852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.4353625 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284670029.42 + -0.2215.\nAnswer: 284670029.1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*y = -123 + 1209 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(5\/8))\/m**9*m*(m**(-1\/4)\/m)\/m*m*m**4 assuming m is positive.\nAnswer: m**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 12 - 31 + 20 + 1451*l**2.\nAnswer: 1451*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12 = -b, -4 = -2*d + b + 2. Let v(c) = -c - c - c + d*c. Let j(k) = -2*k - k**2 + 2*k. Calculate v(j(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 - 131?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, -769, -2948, -7195, -14200, -24653, -39244, -58663?\n\"Answer: -115*h**3 + h**2 + h + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163609897*r**2 - 101955697 with respect to r.\nAnswer: 327219794*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 438*n**3 + 3*n**2 + 2*n - 4. Let l be y(1). Let r = l - 330. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 589 + -587. Suppose 2*s + v = 632, -s + 0*s - u*v = -316. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 45*a**2 + 1143*a + 23. What is w(63)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/135930 and -21\/460.\nAnswer: 271860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3527\/64, 5 in descending order.\nAnswer: 3527\/64, 5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/7, -3, 36.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in 16784, -1\/4, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (414252\/1184)\/(-311)*(-34)\/(-3)?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1588, -1, 153, -4 in ascending order.\nAnswer: -4, -1, 153, 1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/12*2\/14*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20694242 is divided by 1339?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/7 + ((-10)\/(-6))\/(-1). Let o = 6.7 + -7. What is the nearest to a in o, -1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -31218276?\nAnswer: 1873096.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1764 + -14.\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x - 6. Let s(z) = 6*z - 17. Let c be s(6). Let u = c - 12. Determine p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621 - 640. Let v be r\/6 + -2 - -5. What is the smallest value in 0.008, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -23\/2*c**2 + 2*c**4 - 11\/3*c**3 + 4*c + 0 - 1\/20*c**5. Let s be b(23). Is s greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 + 4. Let t be z(10). Suppose 3*n - 15 = 3*x, -2*n + t*x + 6 = -4. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11242959.\nAnswer: 3, 7, 13, 41183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-230)\/(-25))\/((-2)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 35. Calculate the remainder when (-52 + (-6090)\/(-116))\/((-4)\/(-992)) is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -47399484.\nAnswer: -47399480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:34 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 - 37 = -155*b - b. Solve b*u - 20 = u - 3*c, 4*u - 32 = -4*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11914 is divided by 602?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 - f + 1. Determine m(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1366*d**2 - 78*d - 473. Is f(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znkvzzgzknzvvzngn. Give prob of picking 1 g and 1 k.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*q**3 - 672*d**2*q**2 - 7*d*q**3 - 211 wrt d.\nAnswer: -6*d*q**3 - 1344*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954.927 millilitres in litres?\nAnswer: 1.954927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q + 985. Determine w(76).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68380 is divided by 32790?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 29 + 122 = -3*d - 154, 129*d - x + 190 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24d00 (base 16) in base 14?\nAnswer: 3cd44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and (-12)\/8 + 21\/(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-6))\/((-6)\/20). Suppose 5*w - 4 = -4*g, 0*g - 3 = -3*g - q*w. Let n = 2 + g. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 - 65*b**2 - 54*b**2 - 188.\nAnswer: -b**2 - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2165\/6137 or -1?\nAnswer: -2165\/6137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + n = -4*n - 25, -3*o = 2*n - 7. Suppose 0 = 2*l + 3 - 1, -o*y - l = -444. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2652733 is divided by 69.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-9)*2\/10. Put p, -5, -3, 1\/3 in decreasing order.\nAnswer: p, 1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9711899*s**2 - 4294785*s wrt s.\nAnswer: -19423798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(309\/(-103) + (0 - (10760\/465)\/(-8)))\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3641)\/(-539) + -7)\/((-6)\/(-21)). What is the nearest to 3 in 5, u, -1\/2, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, z: 9, b: 2}. What is prob of picking 1 b and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13795853.\nAnswer: 499, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2619\/17, -2\/3, 1\/3, 1?\nAnswer: 2619\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 - 11313167*y**2 - y + 23989718 wrt y?\nAnswer: -12*y**2 - 22626334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5414377 divided by -5414377?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 4 (b) 1\/82 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let n(f) = -83*f + 249. Let c be n(3). Let x(g) be the third derivative of 4*g**2 + 0*g**3 + 1\/24*g**4 + c*g + 0. Determine o(x(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1462 + a91a?\nAnswer: c07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/3 - 467702*q**3\/3 - 935396*q**2\/3 = 0.\nAnswer: -233849, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81650?\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1252063881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 912*o - 2709.\nAnswer: -3*(o + 3)*(o + 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -1 - -1 - (-5 - (9 + 1346))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 462. Calculate the highest common divisor of 33 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-1*-3)\/sqrt(2).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196635 is divided by 1038.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/7 and -25\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1227 + 0.1227. Which is the nearest to q? (a) -2\/7 (b) 0 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 137 = -l, -4*v + 52 - 335 = l. Suppose 4 = -4*q + 104. Is 5\/(-2)*v\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0922 and -1?\nAnswer: -0.0922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 28 = -5*j, j + 0*j - 5*b = 0. Suppose -437 + 143 = -j*q + 4*v, 318 = 5*q + 2*v. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z**3 - z + 465. Determine f(0).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 43*z - 11. Suppose 0 = -h + 4*h - 5*i - 13, -h - 5*i = -31. Let s be o(h). Let m be s*(7\/(-2) + 3). Solve m = 3*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34059.09 + -33677. Let i = 380 - s. Let n = 0.09 + i. Is -5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 4*d + 1. Let t(r) be the second derivative of 0 + 7\/2*r**2 - r + 1\/6*r**3. Let l be t(-4). Determine q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:49 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - 3) + (-8 + -11 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14865 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 - 2*r**2 - 7*r**4 + 5*r**4 + 0*r**3 - 3*r**3 to s*r**3 + d*r + o + h*r**2 + j*r**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 not equal to 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.16 + 9. Let h = 0.11 + u. Let n = -5 - -5.1. Is n > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 90. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*30\/840*(-6)\/(-36)*6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 + 6*n**2 + n + 7. Let j(x) = 2*x**3 - 3*x**2 - 4. Let p(w) = 3*i(w) + 5*j(w). What is the tens digit of p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 5*m + 25*k - 308636, k = -5*m + 308606. What are the prime factors of m?\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2))**(-19\/3))**29 assuming s is positive.\nAnswer: s**(551\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3479 - 3441. What is the highest common divisor of 1577 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g = 59*g - 92 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 677978252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 12:04 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 23 + 13. 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(q) = -q**3 - 7*q**2 - 5*q + 1. Let z be r(-6). Let t(s) = -s + 3. Let b be t(z). Is (215\/(-4))\/(b\/(-32)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5640, -5631, -5616, -5595, -5568?\n\"Answer: 3*b**2 - 5643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*u + 363758323, 2*s - 3*u - 212166200 = -30287043. Let l = s - 60939583. Round l to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-5) - (2\/24 - (-28)\/112). Does x = 3.723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*q = 5*q + 9, 3*t = q - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 55, 4 in decreasing order.\nAnswer: 55, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*w**5 + 27*w - 27*w - 2*w**5 + 4*w**5 - 3*w**5 + (-w**4 - 2*w**4 + 2*w**4)*(4*w - 2*w + 0*w) - w**5 + 0*w**5 - w**5 + w**5 + 0*w**5 - 3*w**5.\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:12 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -17\/3 (b) 0.2 (c) 5\/3 (d) -1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*q = -186*q + 90*q - 2376 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 10*i**2 + 10*i + 10. Let o be m(11). Let x be 1*(-1 + 24)*o. Let p = x - -32. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 4*m**2 + 2*m - 6. Let h be k(4). Suppose 0 = -8*i + 3*i + 20. Suppose i*s - 67 = 5*r, -4*r + 6 = h*s - 60. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*x**3 - 14759 + 188*x**3 + 175*x**3 + 14759.\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4)\/k))\/((k**(3\/26)\/k*k)\/k)*(k**(-32)\/k)\/(k\/k**20) assuming k is positive.\nAnswer: k**(-185\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15353 - -2?\nAnswer: -15351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p*p**(-2\/7))\/p)))**(-3\/16)\/(p*(p\/(p\/p**7*p))\/p*p*p\/(p\/(p\/(p\/(p**(1\/4)\/p))))) assuming p is positive.\nAnswer: p**(-347\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 4 - (-148 - -148) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 4, -2.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127374 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 886*m + 441*m + 446*m)*(7*m - 10*m - 12*m)*(m**3 + 2*m**3 - 5*m**3).\nAnswer: 30*m**5 - 840*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grjgjjggijrgrggjhisj. What is prob of sequence ih?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 4*v**3 - 5*v**3)*(-2 - 1 + 1 + (2 - 3 + 0)*(-3 + 5 + 0) - 5 + 0 + 3).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 36130848.\nAnswer: 36130848.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 2*l**2 - 76*l + 76*l in the form w + x*l**2 + h*l + m*l**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/(n*n**(-45)*n))\/n))\/((n\/n**23)\/n))\/(n**(-17)*n**(4\/25)))**(-1\/7) assuming n is positive.\nAnswer: n**(54\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1817)\/4278*-31 - (-26)\/(-8)*(-1 - -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/216*9)\/((-1)\/(-22996)). Let x = 15140 - z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.685 + 1.69. Let a = j - 0.405. What is the nearest to -0.1 in a, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 6, 4 in increasing order.\nAnswer: -7, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a kilometer in meters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 485849?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 25482304\/7 - 20192\/7*k + 4\/7*k**2 = 0. What is k?\nAnswer: 2524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 6*u + 10. Let l be f(-3). Is (-189)\/27 + 13008\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 569, 1824, 4235, 8180, 14037, 22184?\nAnswer: 32999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*b + 7 = 0. Calculate the least common multiple of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-2 - (3 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*y = 277*y + 7 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 2200103013?\nAnswer: 2200103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2385681 and -7.98.\nAnswer: -9.2185681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(3\/(9\/(-42))))\/(124\/(-2170))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 78*o + 2 - 146*o**3 + 622*o + 198*o - o**2 wrt o.\nAnswer: -876*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + 3. Let h(g) = 5*g**3 + g**2 + g + 3. Give h(k) + q(k).\nAnswer: 4*k**3 + k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -2 + 496\/93)\/((-16)\/6). What is the nearest to -4\/71 in t, -1, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + (sqrt(5) - (sqrt(500) + sqrt(500)*1 - sqrt(500)))).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b - b**2 + 46 - 48 + 4*b. Let v be u(0). Let a = v - -5. Solve a*s + 2*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - f**2 + 6*f + 12. Let r(m) = m**3 + m + 1. Give c(g) - 6*r(g).\nAnswer: -g**3 - g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apammaapmpm. Give prob of sequence pm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(798\/9)*10\/(-15).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/64 and 109\/4160?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -4\/25 (b) -2 (c) 1\/9 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 248*c - 1885. What is s(9)?\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8484610 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/45)\/(48\/40). Let i(m) = m**2 - 4*m - 1. Let q = 1 + 3. Let h be i(q). Which is the closest to -0.2? (a) h (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -9*u - 2*f, 0 = -39*u + 44*u - 3*f - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 + 51*z**2 - 7*z + 40. Give b(-13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6654 + -0.807. Round j to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4 + 6*l**3 - l**2 - 6*l = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {y: 3, j: 2, r: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -34\/1025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/3, -16, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -0.079418.\nAnswer: -0.059418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 1, s: 1, u: 1}. What is prob of sequence zu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733*d + 2130*d - 344*d.\nAnswer: 1053*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/324*(-378)\/84\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 - 4)*(0 - 2 + 0)*(0*m - 2*m + 3*m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4217*-139.\nAnswer: 586163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 at most -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 433243210 (base 5) in base 6?\nAnswer: 103414214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -8457 and -8457 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 9*j + 3*j + 5*j + j**2.\nAnswer: j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:37 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1.5.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 650.\nAnswer: 1\/650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3645.3 and -51448549.1.\nAnswer: -51452194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 692*f**3 + 692*f**3 - 1383*f**3 + 967*f to the form k + l*f + t*f**3 + c*f**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 2, -36, -100, -196?\n\"Answer: -u**3 - 4*u**2 + u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*2\/(-12) + (-2)\/6. What are the prime factors of (w - 0) + 36\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56370.4 equal to 598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5341.29133 - -5346.19133001. Let s = b + -4.9. What is s rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*i + 9. Suppose 5 = -m, -i*h = -m + 2*m + 277. What is the units digit of (h\/3)\/((-12)\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 21*w**3 + w**2 + 3*w. Let b be (-5)\/315*-7*36. Let k(y) = 22*y**3 + 2*y**2 + 4*y. Calculate b*d(v) - 3*k(v).\nAnswer: 18*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.028.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -58 and -312806329.1.\nAnswer: -312806387.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 5. Let m(b) = -2*b + 6. Suppose 6*j - 216 = 36. Suppose 7*d = -0*d + j. Calculate d*c(t) - 5*m(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 660, 662, 666, 672?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.639914 + -0.64. Round t to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13014739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 72 = 3*l - 4*r + 12. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6829897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 44*u + 391 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47 + -275035\nAnswer: -275082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*0.2.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 7 = -34*w - 348 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3986526 milligrams in kilograms?\nAnswer: 0.0000003986526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 5*n**2 - n + 4. Let j(m) = m**2 - 7*m - 6. Let w be j(6). Let x be 9 + w - (2 - 0). Determine z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-2))\/((-1)\/2). Suppose -3*w + p + 7 = 0, 0 = -50*w + 51*w + 5*p + 35. Solve w*o = -5*b + o + d, 2*o + 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 178319430558524?\nAnswer: 178319430558520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t - 2*t**3 + 10*t + (4 - 4 + 2*t)*(-t**2 - 4*t**2 + 7*t**2) to the form o*t + q*t**2 + w*t**3 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)*((i*i**(-3\/2))\/i)\/i*(i**(2\/7))**41 assuming i is positive.\nAnswer: i**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 824, 1157, 1492, 1829, 2168, 2509?\n\"Answer: z**2 + 330*z + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 5*z + 5. Let p be g(4). What is the units digit of (-18)\/(-2) - p\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222111 - -12?\nAnswer: 1222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6856874*b**2 + 1784408*b.\nAnswer: 13713748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -8*z, 5*z - 2 = 3*q + 4*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n**2 - 153*n - 1. Determine h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.1 (c) -15 (d) 50 (e) -1.5 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843e9 (base 16) to base 4.\nAnswer: 2010033221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/5 - 16*h**4\/5 = 0. Calculate h.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499166504965 plus 0.1?\nAnswer: 1499166504965.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 6. Let g be f(-11). Solve -2*m - g = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 3. Give l(-26).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*b**3*i**2*j + 3*b**3*i*j - 8*b**3 + 71*b**2*i**2*j - 2*b**2*j - b*i**2*j - 2*i**2 wrt b.\nAnswer: -348*i**2*j + 18*i*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2016)*1 + sqrt(2016) - sqrt(2016)) - -5*(sqrt(2016) - (sqrt(2016) - 2*sqrt(2016))))\/(sqrt(88)\/(3*sqrt(11)) - (sqrt(200) + 4*sqrt(200))).\nAnswer: -126*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q - 1. Let g be i(-1). Let n(j) = j + 1. Let f(b) = -b. Determine g*n(h) + 2*f(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 940860 - 628081. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342 - 309. What is the highest common factor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 - 395*o + 103160. Calculate k(131).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {n: 5, x: 1, p: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**5 + 47*d**3 - 371*d.\nAnswer: -120*d**3 + 282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 642 and 4301614.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62b7 (base 12) in base 7?\nAnswer: 43321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -1418*c**3\/7 + 4252*c**2\/7 + 6*c\/7 = 0?\nAnswer: -1\/709, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-2)\/196)\/((-1393)\/19502)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24881 and 131216.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109067.\nAnswer: 7, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17805 (base 11) to base 16\nAnswer: -6163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n + 10. Let w be z(-10). Suppose 2*o - 4*p - 8 = 0, w*o + 2*o + 2 = -p. Solve -3*r - 13 + 1 = o, 5*r + 20 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 + (-127 - (42 + -117))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46496*c**2*x**3 + 9456*c**2*x**2 wrt x.\nAnswer: 278976*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 482845.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013462 (base 7) to base 8.\nAnswer: 1270411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29\/3 + (-2)\/(-6). Suppose -4*l = l - s. Find h such that 0 + 2*h**3 + 6*h**2 - 3*h + 4*h + l + 5*h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 74*z - 2337. What is the hundreds digit of j(79)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.754 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 7662*l**2 + 9784374*l - 4164881866.\nAnswer: 2*(l - 1277)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1372 + 4159\/3. Find the common denominator of -83\/561 and q.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-1\/5)*(l\/(l\/(l**(1\/16)\/l*l*l)*l))\/((l\/(l\/(l*l\/(l\/l**(1\/6))*l)))\/l))**(-44) assuming l is positive.\nAnswer: l**(2563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2 + 32\/8))\/((-136)\/120 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 850 and 39202?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14980*c = -14969*c - 88. Solve -58 = c*o - 34 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210 + 286 = 2*p + 66*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 16*q + 1. Let f be b(0). What is the greatest common factor of f and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7067, 13995, 20785, 27437, 33951?\n\"Answer: -69*d**2 + 7135*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010110 + -11111?\nAnswer: -110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 1. Let x(q) = 4 - 5 + 4*q - 1. Let h(f) = -5*f + 131. Let j be h(24). Give j*s(m) - 6*x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 761 + -11?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = m - 671, -3*m + v + 926 = -1079. Suppose 3*r = 5*q + m, r + 0*q - 215 = -2*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*w**4 - 30742*w**3 + 61397*w**2 - 30684*w.\nAnswer: w*(w - 1)**2*(29*w - 30684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, h: 2, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3) + 3\/(-3). Which is the nearest to 4? (a) -5 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 26*t - 59*t - 4*t.\nAnswer: -89*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 11 + 41. Suppose 32 = r*w + 2*w. Calculate the lowest common multiple of w and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1757*64914.\nAnswer: 11405.3898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1247496, -2494994, -3742492, -4989990, -6237488, -7484986?\n\"Answer: -1247498*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68a20b (base 12) in base 2?\nAnswer: -110011001010010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = 4*j. Let h(y) be the first derivative of 2*y**2 - 5*y - 3. What is the lowest common multiple of 4 and h(j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6233 - -6247. Which is the biggest value? (a) -4 (b) k (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7))**(-47)*(p*p\/(p*p\/((p*p**22)\/p)))\/(p\/p**(-19)) assuming p is positive.\nAnswer: p**331","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957*s - 3 + 3 - 594*s + 859*s to the form b*s + p and give b.\nAnswer: 1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2)\/((-1)\/6). Let i(x) = x**3 + 5*x**2 - 10*x - 7. Calculate the remainder when 81 is divided by i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 439*g**3 + 283 - 143.\nAnswer: 439*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = m. Let h(u) = u**3 - 6*u**2 + 8*u + 1. Let n be h(4). Let b = -0.440025 + -0.059975. What is the second biggest value in m, n, b, 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*a + 16, -l + 2*a + 4 - 1 = 0. Suppose -3*p + 31 = -l*m, -m = -0*p - 2*p + 9. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.49 + 7.95. Let d = w - -57. Let u = d + -0.4705. Round u to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -1 + (-60 - -17) - (1 + -52 + -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.919679 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72 and -0.2?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 474301 and 474299 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007743027 rounded to six dps?\nAnswer: 0.007743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/120 - v**4\/8 + 23*v**3\/6 + 27*v. Let o(s) be the second derivative of t(s). Let m(x) = -1. Determine 5*m(b) - 2*o(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/2, 4.55, 2.\nAnswer: -41\/2, 2, 4.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m**(2\/5))\/(m**1)**(5\/17)*(m**(-2\/3)*m)**50*(m**(-1)\/m)**9 assuming m is positive.\nAnswer: m**(452\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-330))\/((-2)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89500.74 decades?\nAnswer: 10740088.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143985 divided by -143985.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -41234?\nAnswer: 41212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 774 = 3*q, 5*p + 758 = 8*q - 5*q. Find the common denominator of (488\/q)\/(-5 + (2 - 0)) and 61\/22.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90446161 rounded to four decimal places?\nAnswer: 0.9045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 + (2 - 2 - -2) and ((-20)\/(-130))\/(31\/7657) - 22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -89.22806 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3505101 (base 8) to base 3\nAnswer: 1210102010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 2\/7397?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 2*q - 2. Let l(u) = u**3 + 3*u**2 - 3*u - 3. Let a = 2 - 3. Let s be (7\/(-21))\/(a\/9). Suppose j - 5 = -s. Calculate j*l(t) - 3*h(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.063.\nAnswer: -3.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((49\/(-7))\/(-21))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/7)\/((-106)\/(-53)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaaasaasaaaassaaaa. Give prob of picking 3 a.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 2*k**2 - 3*k + 2. Calculate the least common multiple of t(-2) and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*z = 35, -4*z + 64 - 20 = 5*r. Suppose -3*b - 34 = -x + 2*b, 0 = 4*b + r. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201194344 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -2c8512c?\nAnswer: -2c85124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o + 3*h = 30*o - 2, o - h - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(4 + 1 + 1)*(-4*v + 2*v + 0*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let b be (-5)\/(-3) - f\/(-6). Let -9 - 2*p**3 + 2*p**b + 9 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43612160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79133.29 nanograms?\nAnswer: 79.13329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8117028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 2, v: 8, x: 2, d: 4}. What is prob of picking 2 k, 1 v, and 1 x?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528412*z - 528413*z + 26 = 4*m, 42 = 7*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 602262, 602252, 602242, 602232?\n\"Answer: -10*s + 602272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 13*b**2 + 33*b + 13. Determine o(-7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 + 757. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(2*j**3 + 2*j**4 - 2*j**3) + (4*j**2 + j - j)*(-2*j**3 + 2*j**3 + 2*j**3).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + 7 - 7*x**2 + x + 0*x**2. Let u(r) = 6*r**2 + 4*r - 6. Let h(f) = 5*b(f) + 6*u(f). Let s be h(3). Solve 13 = -s*n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i - 7. Suppose 3*g = 8 + 10. What is p(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 76. Let q = 90 + -75. Let w be c(q). Let d = -105 - w. Calculate the least common multiple of d and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(4\/(-6) - -1). Suppose q - 8 = 2*r + 18, -3*r - 66 = -3*q. Let x be ((-6)\/84)\/(9\/q). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -82 + 68 + (12 - 162)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51\/40 - 13\/20. What is the common denominator of o and (-5)\/(-6)*(-162)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3564 * -1245.27\nAnswer: -4438142.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8083387*x**2 - 205*x - 9314 wrt x?\nAnswer: 16166774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z**2 + z**3 + z**3 + 33*z**2 + 16*z**2 + 6*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(-9)\/(135\/(-80))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25222855 to the nearest 100000.\nAnswer: 25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3818967 and -0.66.\nAnswer: 2520518.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**2\/2 + 9*z - 40. Calculate h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**4\/4 + 2*j**3\/3 - 3*j**2\/2 + 34*j. Give i(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302279259 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -0.5, -0.18 in descending order.\nAnswer: -0.18, -0.5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 122.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1253656 + 3?\nAnswer: 1253659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**9\/756 - y**6\/180 + 5*y**3\/3 + 1. Let l(z) be the third derivative of d(z). What is the third derivative of l(q) wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712 - 286 - 426 - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**6\/720 - i**5\/40 - i**4\/3 - 10*i. Let f(l) be the third derivative of z(l). What is f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14194112.\nAnswer: 2, 131, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m\/(m*m\/m**10*m*m))**(-8) assuming m is positive.\nAnswer: m**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 2*m - 3*j, 3*m - 4*j = -j + 1413. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, -33, -249, -659, -1329, -2325?\n\"Answer: -11*y**3 + 2*y**2 - 17*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 28779\nAnswer: 28778.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/4 in 0.3, -541, -0.07, 3.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1061 * 5.\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 819.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 884 = -4*i, 13*s + 4*i = 14*s - 216. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 3*f**3 + 5*f**2\/2 + 9*f + 3. Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -11*o + 9*o - 16, 3*o + 29 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132 + 0)\/(30\/80). Let a = -350 + k. Solve -7 = a*j + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 a factor of 76372544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/117053 greater than 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 0*i + 0 - 1\/4*i**4 + 0*i**2.\nAnswer: -i**3*(i + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*o + 4 - 8 - 2 + 2 - 2*o**2 + 34*o**3 as r*o + n*o**2 + j*o**3 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*l - 47. Let y be (-1 - -2) + (0 - 1). Sort l, y, -1 in increasing order.\nAnswer: l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9810, 15350, 24584, 37512, 54134?\nAnswer: 74450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -49*y**3\/3 - 107*y - 14. Differentiate m(c) wrt c.\nAnswer: -98*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4\/5 (b) 3 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9934861 greater than or equal to -9934860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 109 + 1039*d**2 - 1040*d**2 + d - d. Let j(v) = -v. Calculate u(j(t)).\nAnswer: -t**2 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and -4.967?\nAnswer: 0.04967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 36*k - 54. Suppose -39 = k*c - 273. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13536 - 13522. Let c be (-2)\/7 - (-900)\/14. Suppose 62 = 3*k - c. Calculate the greatest common factor of u and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 2*l**3 + 5*l**2)*(-3*l**2 + 0*l**2 + 2*l**2) + l**5 - l**5 - l**5 + 7*l**4 - 6*l**5 - 2*l**5 - 8*l**4 - 2*l**2.\nAnswer: -11*l**5 - l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjv when three letters picked without replacement from vvyyvvvvvjyvvvv?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -28. Calculate the least common multiple of z and 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77602985*r - 40536252.\nAnswer: -77602985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010847124 rounded to 6 dps?\nAnswer: -0.001085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 1. Let k(v) = 8*v**3 - 3*v**2 + 7*v - 3. Let z(q) = -k(q) + 5*p(q). What is z(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.823654\nAnswer: 0.911827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191222727?\nAnswer: 3, 2389, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, a: 6, p: 6, y: 1}. Give prob of sequence wy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31030400 (base 5) in base 6?\nAnswer: -5222315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 956*s**2 + 3702 - 1852 - 1850 to h*s + g + q*s**2 and give q.\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 5. Let s(o) = o - 1. Let r be s(8). Let m be n(r). Suppose m = 3*d + g, 3*d - g + 0*g = 95. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3857 (b) 3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let q(m) = -185*m + 2. Determine q(u(s)).\nAnswer: 370*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 5. Let c = l - 0. Let w(o) = -o + 7. Let q be w(0). Calculate the greatest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m = -r + 20, 5*r - 49 = 3*m. Suppose -r*w + 0*w = -1704. What are the prime factors of w?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 3\/8 (b) -3 (c) 3\/2 (d) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 48.52. Let z = -0.24 + r. Let x = 68 - 68. Is z >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z**3\/5 + 82*z**2\/15 + 64*z\/15 = 0.\nAnswer: -32\/9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*10\/(-12))\/((-568)\/426)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 * -2.1\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 3*j + 21 - 2*j - 2*j.\nAnswer: 2*j + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.595, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*u**2 - 10*u**2 + 0*u**2 + 31*u**2 - 62 + 62 + (0*u - 2*u + 4*u)*(0*u + u - 3*u) to the form c*u + f*u**2 + d and give f.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5489, 21671, 48547, 86117, 134381?\n\"Answer: 5347*o**2 + 141*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziii when four letters picked without replacement from zzzzizzzzizzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayb when three letters picked without replacement from {p: 7, b: 1, j: 1, a: 4, y: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**2 + 441*b + 66. Let m(x) = -23*x**2 + 1323*x + 187. What is -6*m(l) + 17*t(l)?\nAnswer: 2*l**2 - 441*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 17*x**2 + 576*x - 69. What is p(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**7\/70 - 2*s**6\/25 + 9*s**5\/100 + s**4\/5 - 2*s**3\/5 + 5*s + 31. Solve c(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**2 - 22*l - 112. Let w(i) = -14*i**2 + 23*i + 99. What is 5*u(s) + 4*w(s)?\nAnswer: -s**2 - 18*s - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 379 + -375. Let c = 5 - 5. Solve -9*p + m*p - 25 = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124\/9*r**3 + 0 - 242\/9*r**2 - 40\/3*r - 2\/9*r**4 = 0. What is r?\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126659, 253302, 379931, 506540, 633123, 759674?\nAnswer: 886187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -406 (c) -2 (d) -5\/6 (e) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 2745895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -7*o - 21. Let v(l) = 3*l**2 - o*l + l**2 - 1 - 5*l**2 + 16*l. Give v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuxzxfxzfufxxxx. Give prob of picking 1 x, 2 f, and 1 u.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 17522*i\/9 + 70184\/3.\nAnswer: -2*(i - 8773)*(i + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 10*v - 3. Let a be q(8). What is the highest common divisor of 225 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3aa0 + 6d9?\nAnswer: -33b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 0 - (6 + -14). Suppose 0*o + 1 = -o, 3*w + i*o + 8 = 0. Is -4\/13 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 13*b + 3*b)*((-b - b + 4*b)*(0*b - b + 0*b) + 8*b**2 + 0*b + 0*b) to k*b + t*b**2 + j*b**3 + i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t**2 + 3*t + 2. Let m be b(-1). Suppose m = -4*j - 5. Let q be ((-2)\/j)\/((-15)\/(-450)). Calculate the greatest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 254 + -53. Let n(r) = -3 - 67*r - v*r - 258*r. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -812*d**4*w + 370*d**2*w - 991426*d - 70*w wrt d?\nAnswer: -9744*d**2*w + 740*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-3)\/(-16) - (-115899)\/28. Suppose -70*c - g = -75*c. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + 10 + (-13 - -3). Let x(h) = -h + 1. Let l be x(-9). Suppose 5*z - 3 = -m, 2 + l = -5*m + 2*z. Are c and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let k be (4 - (-116)\/(-28)) + 0\/(-1). Which is the closest to 0.2? (a) 0.08 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 22, 0.4, -8.\nAnswer: -8, 0.06, 0.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-16)*51*81\/(-86751)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4446?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/14)*(-6870)\/(-1603).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 45 = -3*b. Let o(p) = p + 22. Let d be o(2). Let c = b + d. Solve 4*v + v - i = c, -2*v - 4*i - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -329*s**2 - 13835*s + 48. Calculate a(-42).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 2*x**3 + 2*x**4 + (0 + 0 + 2*x**4)*(-3 - 5 + 0) - 2*x**4 - 2*x**4 - 6*x**4.\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = 0. Suppose 5*a + 4*y = y, 4*a + 2*y - 2 = k. Suppose 4*h - a*g - 16 = 0, -h - 15 = -0*h + 4*g. Solve -u = -5*q - h - 5, -u = -2*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:48 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let i(h) = -100 - 6*h**2 + 100. Calculate i(c(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -2\/3*a**4 - 7*a**2 + 0*a + 8\/3*a**3 + 0. Differentiate w(s) wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hemhw. What is prob of sequence hhm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192933.2875 rounded to the nearest ten?\nAnswer: 1192930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/720 - h**5\/120 - 29*h**4\/24 + h**3\/3 - h**2 + 17. Let x(n) be the second derivative of u(n). Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 154*r**3 + 28*r**2 - 28. Let t(n) = -28*n**3 - 5*n**2 + 5. Let q = -157 + 129. What is q*t(y) - 5*p(y)?\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 21. Give h(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -23\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*o - 256 - 68, -4*o - 201 = -3*h. Let w be 3\/(-3) + 35 + 1. Suppose w = 3*y + 2*y. What is the highest common factor of h and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299 + 314. Suppose b = 3*l + 9. Put -13, -1\/4, -1, l in descending order.\nAnswer: l, -1\/4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let o(r) = -9*r - 7*r + 33*r + 3 - 16*r - 7*r. Determine -10*i(j) - 2*o(j).\nAnswer: 2*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.19. Which is the nearest to -0.1? (a) -39 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 256 + 125 = 149*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/7)*g*g)\/g**(-28)*(g*(g**(-34)\/g*g)\/g)\/(g\/((g**31*g)\/g)) assuming g is positive.\nAnswer: g**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 1060*o - 170568. Give j(198).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 148, 144, 138, 130, 120, 108?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*t = 257*t + 234465. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 2*c - 17*c + 48*c**2 - 47*c**2 in the form j + w*c + t*c**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 1:27 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowwoooowow. Give prob of sequence ooww.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2024 or 20924\/5?\nAnswer: 2024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, t: 4}. What is prob of picking 3 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.7. Let y = d - 0.2. Let j be 2\/(-4)*5*2. What is the second biggest value in y, j, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30113578 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:04 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-18))\/(85\/(-34)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/96210 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -7) + -6)\/(2\/(-10)). Suppose d*w + 155 = -65. Let j = -42 - w. Solve 5*x - 12 = -j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2. Let f be (-329)\/(-35) + (-6)\/15. Let n(u) = -72 + 37 - f*u + 35. What is n(k(s))?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 859077437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318932\/5615 - (-70)\/(-25)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n - 1. Let z(w) = 0*w**2 + 2 + 15*w + 2*w + 3*w**2. Let f(s) = 11*o(s) + 4*z(s). Is f(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -7*(-4 + 3). Let o be y + (-1 - 0\/2). Suppose 4*l - 44 = -o*h, -3*h - 5*l - 89 = -7*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guqfcfu. Give prob of sequence fcf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*f**2 - 831*f**2 + 413*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/(c**2\/c*c)*c)\/c)*c*c)**49 assuming c is positive.\nAnswer: c**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 34.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**3 + y**3 + y**3 + (-3*y + 7*y - 3*y)*(2*y - 2*y + 2*y**2).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a - -11?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**2 + 3*d**2 + 11*d + 6 + d**3 - 1. Let z be k(-13). Suppose 3*y - 5 = z. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*s**2 + 24*s + 1?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6291678 millilitres in litres?\nAnswer: 0.0006291678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 2, p: 2, c: 1, o: 1}. What is prob of picking 1 p, 2 q, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.41 - 55.15. Let w = -5.56 - j. What is the second biggest value in w, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -421*z + 64 + 68 - 703*z + 61 - 192 in the form y + j*z and give j.\nAnswer: -1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-156)\/(-40))\/(-13) - (-85)\/(-50). Put 5, m, -5, 3 in increasing order.\nAnswer: -5, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 26*k**2 + k - 1. Let j be s(1). Suppose j = -2*c - 0*c. Let l = 2 - c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i - i**3 - 3*i - i**2 + 5*i**2 - 9*i**2 - 3. Calculate f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*32\/96*15\/115*-1?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*i - 162 = 4*m, m + 4*i + 71 = 0. Let u = -59 - m. Solve 3*d - l - l = -22, 5*d + 3*l + 5 = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-1\/41)*(p**(1\/4)\/p)**(-10) assuming p is positive.\nAnswer: p**(617\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 387280.\nAnswer: 1161840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*g + 704 = -3*g, -179 = -c + g. Suppose 172*j + 318 = c*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322607017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2333907, -4667822, -7001741, -9335664, -11669591, -14003522, -16337457?\nAnswer: -18671396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9782421?\nAnswer: 3, 11, 296437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -59*z**3 + 1. Calculate the smallest common multiple of p(-1) and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuueuee. Give prob of sequence eee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14290009 - 14290026 + 28580035 + 25*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:21 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 5. Calculate the remainder when 13 is divided by m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4103*l**2*t**3 - l**2*t**2*w - 3*l**2*w**2 + 2*l*t**2*w + l*t*w**2 - 2*t**3*w**2 + 4 wrt t?\nAnswer: 24618*l**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8584 (base 14) in base 6?\nAnswer: -254412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-4) + ((-104)\/16 - -5). Let d(t) = n*t - 19*t + 7*t + 1. Let j(m) = -m. Determine d(b) - 4*j(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33689*a**3*v**2 - 51*a**3*v + 2*a*v**3 + 13*a*v**2 + 68734*a*v wrt v?\nAnswer: 67378*a**3 + 12*a*v + 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26437*h - 74407*h - 138 + 138.\nAnswer: -100844*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d*d*d**(-16)\/d assuming d is positive.\nAnswer: d**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034646 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692085286?\nAnswer: 2, 18719, 45197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 9, 3, 34, -0.4 in descending order.\nAnswer: 34, 9, 3, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - (0 - 1 - (-3 - -11)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -1.22.\nAnswer: -0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 4*y**4 + 0*y**4 + (13*y + 0*y + y)*(-43 + 43 + 3*y**3))*(-1 - 4 + 3).\nAnswer: -78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**3 + 6*o**2 - 3*o + 181. Let v(r) = -3*r**3 + 2*r**2 - r + 60. Let j(x) = -2*q(x) + 7*v(x). Let w = -4 - -4. Is j(w) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 - 5. Let m(t) = -3*t**3 + 17*t**2 - 14. Give 8*g(a) - 3*m(a).\nAnswer: a**3 - 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 3. Let t = -3 + 3. Suppose 5*g - 4*g + h - 1 = t, -g = -3*h + 11. What is w(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 38. Let u = 2 + 0. Calculate the highest common factor of u and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*o = 1109, -1845 = 5*g + 24*o - 19*o. Let j = -357 - g. What is the greatest common factor of 406 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 24 + 70 = 0. Let t = s + 61. Solve -3*l + 5 = 2*m, -4*l - t = -4*m + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by 5\nAnswer: -477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u = 560*u - 69*u + 1608 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59936 - -59923. Let o(u) = -u**2 + 6*u + 9. Let p be o(7). What is the smallest value in -0.3, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 986796, 1973604, 2960412?\nAnswer: 3947220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 9, 0*z = 5*z - 5*k + 95. Let t = z + 29. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = 5*m, 4*m + x = -0*x - 6. Let l = 2 + 0. Which is bigger: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(2 + 3\/(-2)). Suppose a - 2*a - 2*i - 1 = k, 3*a - 2 = -i. Let q = a - -2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:14 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 2, l: 8}. Give prob of sequence gnn.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448)*-2)**2 + ((-5 + sqrt(7) + (sqrt(7) - sqrt(28)) - sqrt(7))*-1)**2.\nAnswer: 74*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-612))\/((-3280)\/2952))\/((-10)\/(-8))?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -202?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 - 2.3. Let w = 0.9 - 0.6. Let l = w + c. Put -0.1, 2\/7, l in decreasing order.\nAnswer: 2\/7, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168616617?\nAnswer: 7, 166945231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2091 in -0.1, 11, -3\/2, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1045 + 1046. Put 3\/7, 0.1, o, 0.5 in descending order.\nAnswer: o, 0.5, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/9 - 3)*-3. Suppose v = 4*o + 31, 0*o - d*o = -3*v + 53. Let h be 2098\/3 - (-10)\/v. Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -50. Let u(p) = p**3 - 2*p**2 + p + 2. Let h be -1*(-6 - -2) - 1. Calculate the remainder when i is divided by u(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 72 = -6*i. Suppose -3*b + 12 = 3*n - 2*n, -2*n = 2*b - i. Solve 2*y = -k + n, -y = 3*k + k + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-1) - 4) + (0 - -8). Suppose p*s - 9*s + 32 = 0. What is the highest common factor of 144 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = r + 2, 56*r = 60*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22*t + 4. Let n(l) = -33*l - 6. Let s = -18030 - -18025. What is s*n(x) - 8*z(x)?\nAnswer: -11*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543 + 3*o - 572 - 917 + 17*o + 2032.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + o = -31*o - 2790. Let m(x) = -36*x + 3. Let r be m(-5). Let n = r + o. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -42*a + 38*a**2 + 42*a. Let k(d) be the third derivative of d**5\/30 - 6*d**2. Determine q(k(z)).\nAnswer: 152*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*o = 18, -5*h + 4*o + o = 5. Is h\/13 + 41019\/143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -115*a**3\/3 + 193*a**2\/2 - 38. What is the second derivative of b(u) wrt u?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - g - 4. Let p(i) = -7*i**2 - 2*i - 11. Let r(s) = 8*k(s) - 3*p(s). Calculate r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 - 107*o**2 - 79*o**2 + 201*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5159765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 912495.\nAnswer: 43\/912495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/161*-1)\/((12\/21)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45986*a + a**3 - 23485*a - 22501*a + 10*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56880918857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -9*h - 104. Suppose -h = -3*u + 4*l, 5*u - 5*l - 39 = -4. Suppose -5000 = u*i - i. What is i rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.94 + 0.06. Suppose -4*s = -12*s. Is s at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -8 + (-1 - -2) - -8. Suppose -2*b + 80 = -4*k, -y*b - 4*k + 203 - 3 = 0. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3 - 6137\/(-51). Suppose -n = -2*d + 239. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -9 in increasing order.\nAnswer: -14, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -577, -463, -261, 53, 503, 1113?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1266 - 219 = 0. What are the prime factors of r?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 = -6*t. Suppose 0 = 4*s - 2*f - 3630, 5*s - 4149 = 3*f + 387. Suppose -t*k + s = -243. Calculate the greatest common factor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 27*b**2 - b + 1. Let o be z(1). Suppose -3*w + 4*w - 3*k - 23 = 0, 0 = 4*w + k - o. Solve 5*y - 5*j - 15 = 0, 2*j - 6 = -2*y + w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -44. Calculate the smallest common multiple of 22 and g.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419249?\nAnswer: 419249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*p**3 - 30300*p**2 + 306 - 306 - 21*p**3 + 30300*p**2 + 49*p**3.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 875681*o - 431691 wrt o.\nAnswer: 875681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 + 3 = 0. Let g(n) = -n**3 + 17*n**2 + 123*n - 283. Let s be g(22). Solve -3*x - a = 9, -5*a = s*x - i - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x**2 - x - 3. Let d be z(3). Suppose 4*h = -q + d, 0 = -6*h + h - 4*q + 1. Is 0 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.763958 millimeters?\nAnswer: 0.000003763958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2*1 + -1. Let u(g) = -g**3 + g**2 + 7. What is u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/((24\/38)\/4)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439687 is divided by 871.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-9 - -1))\/(2\/1). Suppose 3*i - s*i = -2. Solve -2*z + 13 = 3*p, i*z = 3*z - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 4*m + 3*m + m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78\/343 - -8199\/13720. Calculate the common denominator of -51\/140 and s.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 3. Suppose p*d - 16 - 44 = 0. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 1. Let r be l(5). Let u = -9 - r. Suppose m = 4*m - 4*d + u, 2*m - 3*d + 4 = 0. Do m and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -3\/10, -4 in decreasing order.\nAnswer: 3\/2, -3\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 493 - 219. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 13236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -334893.02 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*(f\/f**(-6))\/f)**(2\/19) assuming f is positive.\nAnswer: f**(58\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1215?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**4\/12 - 23*n**3\/6 + 12*n**2. Let k be m(2). Let o(v) = v**2 - 2*v - 6. Give o(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185619 divided by -61873?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 17*n**2 - 37*n - 28. Let h be q(19). Is 17 a factor of (-5 - h) + (-2 - (-96)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8449 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1676 and 71\/94275.\nAnswer: 377100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3*z = 12879 - 12878, 2*w + 4 = -3*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4399 is divided by 407?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + -5?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n + 1. Suppose -5*j + 23 = 3*t - t, 4*j - 15 = -5*t. What is d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 755?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/3 + 5*j**2\/2 + 9*j + 73. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2. Let r(v) = -2325*v - 148. Let n(b) = -127874*b - 8177. Let y(l) = 4*n(l) - 221*r(l). Determine q(y(a)).\nAnswer: -16272723*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5902.833 centuries?\nAnswer: 590283.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96987.86 weeks to seconds.\nAnswer: 58658257728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-170 - -152)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38158788 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 1, c: 1, q: 3, m: 5}. What is prob of picking 1 q and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 328 = -331 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326 = -18*v - 2082 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -21 + 77. Suppose -q = -6*q. Suppose -4*d = 2*o - 10, 3*o + 5*d - 3 - t = q. What is the lowest common multiple of o and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2065, -4, -2586 in decreasing order.\nAnswer: -4, -2065, -2586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 8 + 2 + 20 + (3 - 28) - 15.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.18, 89\/4, 0.4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 3*d**7\/700 - 11*d**6\/400 - d**5\/300 + 13*d**4\/60 + 2*d**3\/5 + d**2 + 17. Determine k, given that r(k) = 0.\nAnswer: -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30) - 8684\/(-2505)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4550 and 2.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-2*sqrt(11) - sqrt(11)) + 4)*3 + 3 + sqrt(11) + sqrt(1584) + 0 + sqrt(11))**2 + -1 + 5.\nAnswer: 140*sqrt(11) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x - f + 6, 0 = 2*f. Determine r so that -x*r**2 - r - 5*r**2 + 9 + 4*r**2 - 5*r = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -3 + 6 + 2. Suppose -2*z - 12 - w = 3*r, 4*r + 32 = -5*z. Let n = 17 - 4. Sort n, r, 2 in decreasing order.\nAnswer: n, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 29*y**4\/4 + 2*y**3\/3 - 631*y - 397. Differentiate v(t) wrt t.\nAnswer: 87*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*a + 36, -3*r - 1177*a = -1175*a - 22 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788 - 220 = -12*q. Calculate the highest common divisor of q and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + 15. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -540 + 10646. List the prime factors of w.\nAnswer: 2, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 2 + 68*j**2 - 2.\nAnswer: 68*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouoouuouooooouoouoo. Give prob of sequence oooo.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*x - x = -2, -2*x = j - 3. Let v be ((-15)\/6 + 2)*(-1)\/j. Factor -v*d**2 + d**3 - 1\/2*d**4 + 0*d + 0.\nAnswer: -d**2*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 3*r**2 + 2*r + 25. Let b be p(5). What is the tens digit of 1\/(b\/(-10))*96\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -3*a + 4. Let y be (72\/20)\/(9\/a). Solve -5*i = -2*i - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2. Let c(j) = 4*j**2 - 210*j - 11. Let t(y) = -y**2 + 41*y + 2. Let n(m) = 2*c(m) + 11*t(m). Give n(h(l)).\nAnswer: -27*l**4 - 93*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21172505 to the power of 1\/2, to the nearest integer?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c**(1\/7)\/c*c**(-6)\/(c\/(c\/((c\/(c\/c**2)*c)\/c))))\/(((c**(-1\/4)\/c)\/c)\/c**(-4\/3))**(-41) assuming c is positive.\nAnswer: c**(-3397\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**(1\/9)\/c)\/(c**(-14)\/(c**9\/c)) assuming c is positive.\nAnswer: c**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75729\/10 + 7585. Suppose -5 + 14 = 4*z - 3*p, 4*z = -3*p + 15. What is the common denominator of (-83)\/(z*-5 - -3) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5926530, -5926535, -5926540, -5926545, -5926550, -5926555?\nAnswer: -5926560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + 119. Let o(r) = -2*r**3 - 60. Give -3*k(i) - 5*o(i).\nAnswer: i**3 - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 912*r**2 + r. Let k be q(1). Suppose -4*u - 2140 = 4*i, 83*u - 2*i = 86*u + 1610. Let n = k + u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -187*u**2 + 142*u**2 + 3 - 3. Let d(l) = 39*l**2 - 171*l**2 + 134*l**2. What is c(d(a))?\nAnswer: -180*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -8. Let t = f - 0. What are the prime factors of (3 + -2 + t)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 149. Let v = 62.83 - u. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -875, -1317, -1761, -2207?\nAnswer: -2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:14 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m*m)**(-4\/7))**1 assuming m is positive.\nAnswer: m**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 556 (b) -0.105 (c) 1 (d) 8\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410815709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8443859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/313 (c) 5 (d) 966\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/36782820 and 61\/9808752?\nAnswer: 147131280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 0.2, 3311, -13, -2, 1 in increasing order.\nAnswer: -13, -2, 0.2, 1, 54, 3311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -111010011?\nAnswer: -111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -p, 198*j = -4*p + 203*j + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Suppose 0 = -3*i - 12, 5*n = -w*n - 4*i - 1. Suppose -2*j + 0*m - n*m = -32, -j - 5*m = -30. What is the lowest common multiple of 7 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -22. What is the smallest common multiple of p and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17424 and 20328?\nAnswer: 121968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -3\/8 (b) 3 (c) 2\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8067044309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from lmlkklklkllll?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + b - 188 = 0, -12 = -v - b + 32. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 313*q = -130*q + 35*q + 13629 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5834286 and 335778?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/15)\/(2\/3). Suppose 5*z - 30 = -5*p, 5*z - 8 = -p + d. Suppose -5*b + p = -40. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 19*r**2 - 6*r - 14. Calculate the remainder when 75 is divided by p(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/2 - 4\/(-8). Let y be (-7 - -6)*(-2 + -1). What is the units digit of -30*(2 - q\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:40 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7146 + 11639. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1268 to the nearest ten.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -72*u - 235. Determine c(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -z - 4*v, -2*z + 5*v = -3*z - 30. Let u(f) = f**3 + 9*f**2 - 5*f - 14. Let x be u(z). Let s = x - -63. Does s = -8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 0 + c**2 + 0 - c**3. Let m = 4 + -3. Let w(y) = -3*y + y**2 + m + 3*y - 3*y**3 + 0. What is h(d) - w(d)?\nAnswer: 2*d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 295 + -294.809. Let h = s - 0.591. Which is the closest to -5\/3? (a) h (b) 1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(2)*-1) - (2 + sqrt(48) + 2))**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 9 = -r, v - 9*r = -11*r - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18 + -1 - (-21)\/(-36)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 46*s - 407. Determine m(16).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(12))*2.\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -119, -114, -109, -104?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(198)*-1 + (sqrt(198) - -1*sqrt(198)*-2 - sqrt(198))))\/(-2*2*sqrt(33)\/sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 14, x: 4}. What is prob of sequence bbx?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1838*a**2 + 94*a + 53. Is j(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 19, -1, -5, 707, 4 in increasing order.\nAnswer: -5, -2, -1, 0, 4, 19, 707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7596.25 rounded to the nearest 10?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 28 - 29)*(-9 + i + 9 - i + 4 - 4 - 2*i + 0*i + 4*i + i + 5*i - 4*i + 0*i - 3*i + i + (1 - 1 - 2*i)*(-4 - 2 + 4) - i + 0 + 0).\nAnswer: -330*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82788\/(-3) + -22 + 7 + 11. Round d to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13244877 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:42 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p + 0*p**2 + 1\/6*p**4 + 0*p**3 + 0. Let a be i(-3). Calculate the highest common divisor of 90 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**3\/6 - z. Let i(u) = -4*u**2. Determine i(b(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j + 1667 - 1865. Calculate the remainder when 7402 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17795 - 8896 - 8899 + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -567511 divided by 4267.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 7. Let c be k(-9). Suppose 2*i = -c*h + 26, -5*h + 2*i - 27 = -127. Is ((-4)\/6)\/((-2)\/h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2634 = -3*q, -5*q - 2*i = -4289 - 87. List the prime factors of q.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 23. Let o(s) = -s**2 - 9*s - 9. Determine o(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 10, 19, 30, 43, 58?\n\"Answer: z**2 + 4*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(190)*-2 + sqrt(190) - sqrt(190))\/(sqrt(120)\/(1*sqrt(12))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066884787 to the power of 1\/2, to the nearest integer?\nAnswer: 55379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6441, -1\/10, -0.02, 2\/5, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 3. Suppose -4*c + 12 = -3*d + 5, 5*d - 31 = -4*c. Sort j, 2, c in ascending order.\nAnswer: j, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -101. Let v(y) = -865 - y - k*y + 865. Let o(m) = 6*m. Determine v(o(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**(-50)\/(s**7*s\/((s*s**(-1\/3)*s*s*s)\/s))*(s*((s**0*s)\/s)\/s*s*((s\/s**6)\/s*s)\/s*s)**(1\/16) assuming s is positive.\nAnswer: s**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**16)\/f)\/f)\/f**12*(f**(-1\/16)*f)\/f**(-4) assuming f is positive.\nAnswer: f**(159\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - 19\/((-57)\/24). What is the nearest to -1 in -1.2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 59 = 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110511 + 110511. Determine i so that -5\/3*i**3 - 10\/3*i**2 + 0 + x*i = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*sqrt(88)*-2*4)\/((6*sqrt(512)*5 - sqrt(512))*-1).\nAnswer: -6*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 4*b - 2*b + (2*b - 5*b + 2*b)*(8 - 4 + 5).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-19)\/((-665)\/30)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let q(s) = -5*s + 3. Let n(w) = -5*w + 2. Let a(i) = u*n(i) - 2*q(i). Let g(v) = 10*v. Determine g(a(k)).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*-26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/(w\/((w\/(w**(1\/17)*w)*w)\/w)))\/((w*w*w\/(w**18*w))\/w**(-20)) assuming w is positive.\nAnswer: w**(-171\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 12. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 36. Let h = 10 - 25. Let c = h - t. Solve -5 - 7 = c*w + 3*i, -4*i = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172334*m**6 - 5564*m**2 + 5 wrt m.\nAnswer: 20680080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = b - 6*b - v, 0 = 5*b - 2*v - 83. Is 1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -19. Let m(k) = -2*k**3 + k**2. Let o be m(-2). Let d = o + s. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 11*r + 17. Let o(x) = 4*x - 11. Let a be (0\/(-2) - -8) + -30 + 28. Let g be o(a). Is s(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/(-825) + 142663\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -67. Round k to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/292 - 2\/73. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2. Let z(q) = -12*q. Calculate i(z(w)).\nAnswer: 864*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 + 2) - 4) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z**2 + 72*z**2 - 33*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 26?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 270, 224, 170, 108, 38, -40?\n\"Answer: -4*p**2 - 34*p + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1757131 - -3824131. Round p to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 72716*c - 2643808328.\nAnswer: -(c + 72716)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-2*s + 0*s - 3*s) - 3*s - s + 2*s + (7*s + 14*s - 8*s)*(5 + 0 + 6).\nAnswer: 131*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 13. Let l = c - 8. Suppose -l*s - 7 = -7*s. Solve 2*u - 12 = 5*x, 4*x - u = x - s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 - (18 + (26 - 7)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let w be p(1). Let q = -17 - -92. Suppose -w*s + q = 3*s. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/103 or -2103?\nAnswer: 14\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12711 - 50845\/4. Which is the closest to -1? (a) 0.11 (b) -5 (c) 0.028 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39062 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*x + 45 - 91 - 100*x + 29 + 52 as o + c*x and give c.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 112*x + 6415. Let o be w(-58). Let v = -0.8 + 0.4. What is the third smallest value in o, v, -4, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-10)*j*j)\/j)**(-16) assuming j is positive.\nAnswer: j**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*((sqrt(320) - 3*(sqrt(320) + -1)) + 2*(sqrt(320) + 0))**2 + 2 + 2*(sqrt(320) + (sqrt(320) - (0 + sqrt(320)))*1)**2.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*d**5 + 1298*d**4 + 6570*d**3 + 11350*d**2 + 1000*d.\nAnswer: 2*d*(d + 5)**3*(43*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - v**2)*(-4 + 3*v + 4) - 2079196*v + 2079196*v - 1239*v**3.\nAnswer: -1242*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2165 (b) -1\/3 (c) 3 (d) 0.3 (e) -10 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3 + 129*n**2 + 57*n + 17.\nAnswer: 18*n + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(2 + sqrt(128) + -2)*3.\nAnswer: 5 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13318*d = 3553*d + 244125 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/1931 (b) 3\/5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126502 and 2719793.\nAnswer: 5439586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:36 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 144304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 - 165015*o + 825200 = 0. Calculate o.\nAnswer: -33008, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w - 6. Let d be -3*5\/(-9)*-3. Let r be a(d). Sort -5, r, -4\/3 in decreasing order.\nAnswer: r, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*i = -26, -a - 4*i - 4 = 6. What are the prime factors of 3 + (-416)\/(-3) + (-2)\/a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28 + 22)\/(-36))\/(1\/(-2)). Put n, 1\/4, -3 in descending order.\nAnswer: 1\/4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326515432.\nAnswer: 2, 61, 669089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 - -111?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9014 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172*-28.\nAnswer: 4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + (-2060)\/25 + (-396)\/(-165))\/(8\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 - 2 = 0. Suppose -285 = -o*b - 913. Let w = 374 + b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1182901054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + (-11619)\/(-18)*(23 - 1). Suppose -7*m + 24*m = d. List the prime factors of m.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfmmyffymyhmhhhhhfhy. What is prob of sequence my?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i - 370681 + 1013653 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735217.\nAnswer: 11, 157747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 731 + -462. Let h = 1 + 2. Suppose -h*j + s = 80. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 3*f**2 - 1. Let r be g(-2). Suppose -2*v + 7 = r. Find q, given that -2\/3*q**v + 0 + 4\/9*q = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(-2\/7))\/g)*g**7)\/(g**(-3))**(-3\/32))**21 assuming g is positive.\nAnswer: g**(4995\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 34829.2 smaller than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - 5. Let g = 28 + n. Let r be 16 + g\/((-28)\/(-8)). Solve -5*v + r = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34595\/9 + -3840. Suppose v + 277 = 959. Find the common denominator of t and (-8)\/20 + v\/80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -12*y. Factor -1\/3*w**2 + y + 2\/3*w.\nAnswer: -w*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0, 3, -11, -255, 1185, 0.4?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 2\/11, 2\/3, -4, 40\/21, -0.4?\nAnswer: 40\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -19*d**2. Let p(n) be the first derivative of -n**2\/2 - 6. What is p(a(h))?\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)*b*b**(2\/5)*b)\/(b**1)**1)**(-2\/13) assuming b is positive.\nAnswer: b**(-9\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 443 = -4*o, 3*v + o = -4*o - 442. Let d = 147886\/5 + -29727. Let k = v - d. Which is the closest to 0.1? (a) k (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 d, and 1 a when four letters picked without replacement from {f: 3, a: 1, i: 4, d: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252224348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13802482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 26520?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 - x + x)*(112*x + 36*x + 60*x) - 9*x**3 + x + 3*x - 5*x in the form t*x**3 + l*x + j + p*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2521 divide 2670456273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2000526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58792 + 166359. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09445 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -30 + -21 + 29.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103.89 - -52.088. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1217 = -7*f + 1217. Let k(j) be the second derivative of f + 1\/6*j**3 + 3\/2*j**2 - 4*j - 1\/12*j**4. Calculate k(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/72 + l**5\/60 - 47*l**4\/4 + 105*l. Let n(p) be the third derivative of u(p). Calculate n(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:17 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7401051 by 4351.\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5260 and 0.36.\nAnswer: -5259.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:00 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231202234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148503729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29627)\/4558*(14\/6 - 1\/3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwqe when four letters picked without replacement from {q: 6, t: 3, w: 6, e: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-150)\/20*(-32)\/(-48) - -66549.\nAnswer: 2, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121001 - 200?\nAnswer: 120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*i = -0*r + 1966, i = 2. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(7) + 2 + 3)*-4.\nAnswer: -16 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 44. Suppose -5*g + 284 = -6*c + 3*c, 2*g + y*c - 124 = 0. Suppose 9*q - g = 5. Is q smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*u + 2437 + 9443 = 696*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222765014 take away 0.5?\nAnswer: -0.4777234986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-7)\/(-28)). Suppose 6*b - 90 = 9*b. Let g be (b\/18)\/(-5)*12. Solve 0 = j*v - 5*o - 25, -4*o = g*v - 0*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = h + 4*b, -15*h = -13*h - 1986*b + 1988*b + 56 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -1638, -1640, -1642?\nAnswer: -1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4059005*o + 7. Let j(y) = y. Give j(w(b)).\nAnswer: -4059005*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4026996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) + sqrt(396) + sqrt(396) + 2)**2.\nAnswer: 52*sqrt(11) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (0 + (-3 - -13)). Let j be -16 + 5 + (x - 2). Put j, -2, -4 in decreasing order.\nAnswer: -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1\/1493, 2, 166?\nAnswer: 1\/1493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 0 - 0)\/2. Suppose -s + 82 = -z + 3*z, u*s = 0. Suppose 0 = 4*p - 23 - z. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -5*sqrt(70) + sqrt(70))*1)\/(sqrt(10) + sqrt(10) + (sqrt(220)\/sqrt(11))\/sqrt(2)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/4 (b) -6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 17*g = -48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 5, v: 2, b: 5}. Give prob of picking 2 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/20 - y**4\/24 - 20*y**2. Let k(p) = 2*p**2 + 2*p + 1. Let r be 2\/(-3) + (-1)\/3. Let h be k(r). Give z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 118. What is the greatest common divisor of 150 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 11*j**2 - 3*j - 17. Determine h(-10).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 3, a: 1, i: 6, v: 1}. What is prob of sequence av?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2991239657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1249 - -833. Let c = -415.9999586 - k. What is c rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-4)\/(4\/3). Suppose -g = -5*v - 0*g - 17, g + 3 = 0. What is the biggest value in d, v, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52965598871 from -7.66.\nAnswer: 52965598863.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (-59)\/4)*1\/((-1)\/20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 822, 1062, 1376, 1752, 2178, 2642?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 12. Let p(u) = -u**2 - 6*u - 4. Determine p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*t + 152727 = -53*t + 166443 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4300 and 18\/473.\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1876460*z**2 + 2024249*z wrt z.\nAnswer: -3752920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppy when four letters picked without replacement from ppbppyppppppppp?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t - 2*b + 15, 4*b = 2*t + 10. Suppose t*r - 70 = -20. Let l(d) = -2*d + 4. What is the least common multiple of r and l(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:01 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 11*t - 3*w, -4*w + 5 = 3*t - 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {c: 2, m: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14301043?\nAnswer: 53, 239, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-4) + 1 + 0. Suppose -5*s = -f - 24. Suppose -23 = -5*i + 2*r, 3*i + r = s*r + 25. Let z(j) = 5*j - 2. Calculate z(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 87*d**2 + 101*d - 546. Determine n(86).\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31796 is divided by 15300?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 32*y - 12. Let b be u(3). Let r(m) be the second derivative of 1\/3*m**b + 0 + 10*m + 0*m**2. Let j(x) = 3*x. Determine j(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 12, 1, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57 - 29e89?\nAnswer: -29ee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - -11 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + -305.181. Let k = u - -0.091. Which is the nearest to k? (a) 3 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oook when four letters picked without replacement from {o: 9, k: 7}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 225? (a) -1 (b) 3\/2 (c) 42999 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + 0 - 0 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17980 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 - -21211020?\nAnswer: 21220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2 - 2*p**2 - 6 + 0 - 3*p + 1. Let z(g) = -g - 1. Let l(c) = -j(c) + 3*z(c). Let s(n) = 3*n**2. Determine s(l(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-15)\/(420\/(-28))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.538852225 to four dps.\nAnswer: -6.5389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 4\/9*o**3 + 49\/90*o**5 + 7\/9*o**4 + 0*o + 3 - o**2. Let f(u) be the second derivative of j(u). Factor f(p).\nAnswer: 2*(7*p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(22\/8 - 3). Let b(z) = 13*z**2 + 2*z - 2. What are the prime factors of b(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 103 + 23 = y, 3*y + 2*v = -237. Let r = y + 97. Suppose p - 2 = 55. Calculate the remainder when p is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3128138 and 4186.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51566.\nAnswer: 2, 19, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (104\/(-156))\/((4\/(-9))\/2). Solve 34 = -h*m + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2493.82608 - -2494. Round b to 3 decimal places.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 - -11010?\nAnswer: 10100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = z + 25, -3*z - 1 = 4*m - 2. Let k be 3*((-13)\/(-3) - m). Solve f = c + 3*f, k = c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -0. Suppose -5 = -5*q + g*q. Suppose 3*l - 7 = q. Solve -4*r + 2*r = l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/25)\/(n**(3\/7)*n)*n**(-1\/12)\/(n\/(n*n**11)) assuming n is positive.\nAnswer: n**(19757\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 2738?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.107405 - -182192.892595. Let q = u + -182202.00045. Let n = -9 - q. What is n rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 122, -3 in descending order.\nAnswer: 122, 70, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + y + 28 + 24 - 45 = 0, -1 = 12*n - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z - 72. What is r(-17)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 255658986?\nAnswer: 1789612902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 985307 and 985307 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1651*l + 535*l - 1708*l + 307*l.\nAnswer: -2517*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 greater than 0.0168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57 times 858.4\nAnswer: -48928.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6 - 23*m**5 - 46*m**3*u - 27*m**2*u - 18*m*u - 3*u + 2 wrt m.\nAnswer: 120*m**3 - 1380*m**2 - 276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 468862.7 centuries?\nAnswer: 46886270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45903473 divided by -2?\nAnswer: -45903473\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 2, w: 1}. Give prob of picking 1 w and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*n = 0, 37*t + 35*t + 44*t = 116*t - 6*n - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 324 and -0.1?\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(6\/7))**(-5\/14))**46)**(-17) assuming k is positive.\nAnswer: k**(11730\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24321402, -48642809, -72964202, -97285575, -121606922, -145928237, -170249514, -194570747?\n\"Answer: d**3 + d**2 - 24321417*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 5:02 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/7)\/(-1))\/(63\/(-147))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*j = -3*h + 16, 3*j - 11 = 2*h. What are the prime factors of 9\/3 + 138 + h?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -817855630 + 375396101588\/459. Let s = f + -65\/459. Find l, given that -98*l**2 + 28\/3*l**3 + 1372\/3*l - s - 1\/3*l**4 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93.23 - 0.77. Let b = a + 159. Let m = 64.9999876 - b. Round m to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82 or 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074097323 rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 3*a - 1. Suppose 8*d = d + 273. Suppose 0 = -4*q + 23 - d. Let x(h) = h**2 - 4*h + 1. What is q*j(k) - 3*x(k)?\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.9374264 - -2.936. What is z rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111129 and 222258.\nAnswer: 222258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -4, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17 plus -21727368803?\nAnswer: -21727368804.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h**3 + 8*h**3 + 53*h**3.\nAnswer: 162*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 42 - 10. Let n(g) = -g + 1. What is the units digit of n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31873421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 - (4 - -8) - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 25 + 18*d + 16*d**2 - d**3 - 3*d**2 - 30*d + 17. List the prime factors of r(8).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7309 + 7330. What is the remainder when 2393 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13bc0 (base 13) to base 8.\nAnswer: 110457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4093 + 105*b**4 - 4093)*(-b + 0 + 0).\nAnswer: -105*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133237224.\nAnswer: 2, 7, 113, 179083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 920.8 - 920.3. Which is the nearest to 1\/2? (a) -64\/23 (b) 2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160926 + 156110 = -344*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - y**3 + 3*y + 7*y**2 + 6*y + 6. Calculate the remainder when 34 is divided by i(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059601669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26*2\/(-30) - (45 + (-4110)\/90). Factor -9\/5*r - c + 3\/5*r**2.\nAnswer: 3*(r - 4)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253826 is divided by 8090?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yipse. Give prob of picking 1 i and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555007859 is divided by 1140.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2283.\nAnswer: -456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from {d: 2, n: 1, w: 1, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 2 - 1034692\/7. Let u = 147335 + l. Let f = u + 478. Is 0 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3664080 (base 9) to base 3.\nAnswer: 10202011002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 24. Suppose 0 = -0*s - 2*s + u. Suppose -s*q = 5*m - 379, q = -q + 2*m + 274. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521372154?\nAnswer: 2, 3, 41, 2119399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + t = 2*t - 62, -q + 42 = -5*t. What is the common denominator of (-2055)\/(-540)*4\/q and ((-402)\/45)\/((-12)\/(-5))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14639\/8 + -746825\/408. Let y = 3\/34 - g. Solve 0 + y*n**2 + 2\/3*n = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, y: 2, i: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 48 + 496. What is the remainder when 235 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/24 - 2*s**3\/3 + 2*s**2. Let u be h(4). Let p = 1 + u. Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 5 (c) 1\/7 (d) -21\/2 (e) 0.05 (f) -5 (g) -217\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544112 times 0.8?\nAnswer: 2035289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 + t**2 - 14*t - 5. Let x(i) = i**3 + i**2 + i. Let n(s) = -q(s) - 6*x(s). Let f be n(-8). Suppose 0 = f*m - 0*m - 115. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 6*u - 16*u + 22*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-16)\/(-4) + -2 is divided by 5\/(15\/(-9)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -361, -516, -651, -760, -837?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 2*w + 1. Let z be o(-2). Let t = -1961\/8 - -981\/4. Let j = -29\/46 + 3\/23. What is the nearest to 1\/2 in j, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let p be a(-6). Suppose -7*j = -3*j + p. What is the tens digit of (j - -18) + (-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v + 5*v + 5508*v**3 + 6789 + 2*v - 8*v wrt v?\nAnswer: 16524*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:00 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418256 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Let i be ((-12)\/5)\/(-1) + p. Let z = -6 + 4. Which is the closest to -1? (a) -5 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296746 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.69 and -2.\nAnswer: -3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12520397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p - 15. Let o be (-6)\/p - (-2)\/(-5). Let m(k) = -k**2 + k + 8. Give m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -6. Let p = m + 2.3. Which is the smallest value? (a) 5\/2 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 3709037?\nAnswer: 3709037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -17, -71, -167, -317, -533?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13048077 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/35 and 117\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100010000?\nAnswer: 100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 - 0.02. Let v = 1.12 + -1.42. What is the third smallest value in v, -5, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2820 divided by 5?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*c - 59, -r = -4*r - c - 191. Let d = -70 - r. Let l(w) = -7*w + 9. Calculate the lowest common multiple of 18 and l(d).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9234*p - 37152. What is b(4)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 15. Let j(f) = -5*f - 4. What is the smallest common multiple of g(-11) and j(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-775))\/((3\/21)\/(340\/119)).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1782, 3534, 5260, 6948, 8586?\n\"Answer: -2*z**3 - z**2 + 1769*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 times 249.287?\nAnswer: 153810.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180504?\nAnswer: 2, 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 11*i + 10. Let z be q(-11). Solve f = 3*f + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 - 0) + -4 + 3. What is the tens digit of 3\/((-3)\/g) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/60)\/((-14)\/636). Let b = -5906\/2135 - s. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -51 in decreasing order.\nAnswer: 5, 3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*g + 38, 640*u = 3*g + 643*u - 39 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-684)\/(-570))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 5) in base 11?\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:52 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (3 - 4 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4590 - 4590 - 3*o**2. Let f(q) = 36*q**2. Calculate f(v(j)).\nAnswer: 324*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -41*f. Let d(o) = -7*o. Suppose -5*t = 65, -2*s + 10*t - 10*t - 2*t = 38. Suppose -2*v - 100 = -3*p, -4 = -3*v - v. What is p*d(a) + s*m(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - 3*k**4 - k**4 + (0*k + 0*k + 2*k)*(-2*k**3 + 0*k**3 + 4*k**3) - k**4 + 1 - 1 + 5*k**4 + 3*k**4 - 3*k**4 + 2*k**3 + 2*k - 2*k**3 + 2*k**4.\nAnswer: 8*k**4 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747400 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 510020 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-970))\/(((-6)\/24)\/(2\/12)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:32 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m. Let p(q) = 10*q - 283. Give j(p(d)).\nAnswer: -70*d + 1981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w - 273 = -38*w. What is the remainder when w is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12889667?\nAnswer: 7, 467, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 0.086, 2, 0.1, -1\/71?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:47 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241886608?\nAnswer: 2, 17, 889289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21111401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26053, -52265, -78477?\n\"Answer: -26212*j + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 1:23 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39417 is divided by 231?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 + 2.2. What is the nearest to 1\/4 in 2, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Suppose c - z = -0*c. Let i(w) = c - 2*w - 1 + 3*w. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.07933 - -0.07933. What is the second biggest value in 3\/2, w, 30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1\/4 (b) -4 (c) 172 (d) 2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 147*z + 19. Let g(w) = -443*w - 55. Determine 4*g(v) + 11*o(v).\nAnswer: -155*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14671*j**2 - 3 - 7283*j**2 + 3.\nAnswer: -21954*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (-1 + (-5 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -19.14. Let d = x - -0.26. Let v = d - 0.62. Which is the closest to -1? (a) 2\/11 (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5*z**6\/6 - 19*z**4\/12 - 29*z - 58. Let q(w) be the first derivative of d(w). Find the third derivative of q(t) wrt t.\nAnswer: 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.9 + 68.7. Let g = -2\/61 + -88\/1037. Which is the nearest to -3\/4? (a) 2\/7 (b) 2 (c) l (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.36 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424 + -419.71. Let p = 0.11 + i. Let q = -0.6 - p. Which is the second smallest value? (a) -1 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 7*m + 17. Let v be r(-5). Let s(j) be the first derivative of j**2 + 3. Let q(y) = 8*y. Determine v*q(p) - 9*s(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529731*u**5 - 3*u**3 - 3*u**2 - 347750*u.\nAnswer: 31783860*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -352 + -5?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(1188\/(-24)))\/(4\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*i**6 - 228784*i**3 - 973256574*i**2.\nAnswer: -10440*i**3 - 1372704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/3))*z**1*(z**(1\/3))**14)\/((z\/(z**(2\/7)*z))**(1\/3)\/(z**3\/(z*z**6))) assuming z is positive.\nAnswer: z**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (39 - -27)) + (-1 - 2) + 19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t + 42*t - 86*t - 14*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.5 - 49.5. Sort -1\/6, o, -2\/7 in increasing order.\nAnswer: -2\/7, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 35670. Let q(a) = -a. Calculate q(b(p)).\nAnswer: 4*p - 35670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 128*u - 922. Determine v(10).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 11 = -2*v - 2*d + 3, -4*v + 97*d - 266*d = 1022 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322722 plus -5471?\nAnswer: 317251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 1. Let m be j(-2). Let y be (0 - 2)*m\/(-6). Sort y, 2, 0 in decreasing order.\nAnswer: 2, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-74) - ((-414990)\/(-13727) - 30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 + 12*z - 8. Suppose -5*m = -12 + 2. Let c = m + 8. Let v be w(c). Solve 0*b - v = 2*b - 5*o, b + 4*o = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -22\/35, 156, 2?\nAnswer: -22\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -f90d (base 16) to base 5\nAnswer: -4020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6899 times -9?\nAnswer: -62091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2694007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372039 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 12)*(2 + -1). Suppose o = -7*r + 10*r. Suppose r = -3*z + 4*d - 9*d + 156, 3*d - 260 = -5*z. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - -16 - (9 + -23 - 10 - -9).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1764292, 3528578, 5292864, 7057150, 8821436?\nAnswer: 10585722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46)\/(-8)*912\/19?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24938800*w - 4269948 wrt w.\nAnswer: -24938800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55\/24 - 17\/8. Let l = 0 + 0. Sort 2, l, g in decreasing order.\nAnswer: 2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 99 = 0. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 14*g**2 + 2*g**2 + 2*g - 6*g.\nAnswer: 10*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 4*f - 1. Determine v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 14*n**4 + n**4)*(3*n + 2*n - 4*n) + 5*n**2 + 22*n**5 + n**3 - 20*n**5 - 2 - 2*n**2.\nAnswer: -10*n**5 + n**3 + 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a microgram in nanograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 478, 477, 464, 433, 378, 293?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + k - 2, 4*k - 6 = -2*q + k. Suppose -4*i + 0*i = q. Solve i*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (6 - 15) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10110010 (base 2) to base 12\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -89\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178 > -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*p + 4*p - 160, 5*t - 2*p - 310 = 0. Suppose 192 = 2*b + t. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + x + 7 = 0, -x - 9 = -10*q + 7*q. Suppose -2*h + 38 = -2*d, -5*d - q - 3 = 0. What is the greatest common divisor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 1310*z + 58159. Calculate n(-48).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 5 - 5 + (-2*g**2 + 4*g**2 - 4*g**2)*(-2*g - 3*g + 6*g) + (-5*g + 5*g + 4*g)*(-54*g**2 + 115*g**2 - 58*g**2).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-55)\/(-10). Let p be 13\/n + 1\/6. What is the units digit of p*(-50)\/(-4)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1581.841 - -20.459. Round a to the nearest 10.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89558*-0.19\nAnswer: 17016.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 100222303012?\nAnswer: -100222303012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481752 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o - 1. Suppose -n = 4*c - 6, -2*c - 6 = -0*n - n. Let x(h) be the second derivative of 7*h**3\/3 + 3*h**2\/2 - h. Determine n*x(a) + 17*w(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 5*k + 16 = 10*c, -c = k - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -1730*l**3 + 20941646*l**2 + 48420*l = 0.\nAnswer: -2\/865, 0, 12105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e8 (base 16) to base 15.\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 20541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*c - 512*m + 517*m, -4*m + 23 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 5 = -2*t - 5*y, -3*t + y = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87*(60\/9 + -3). Suppose 0 = 5*y - 3*m - g, 5*m + 263 = y + 3*y. Let l be y\/(-20) - (-4 - (1 - 2)). Is l smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*p**3*r + 3*h**3*p**2*r + 2*h**3 + 1599*h**2*p**3*r**3 + 35*h*p**2*r**2 + 3*h*p - 3*h*r**3 wrt p?\nAnswer: 18*h**3*r + 9594*h**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52338 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/11831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vavs when four letters picked without replacement from pqavqpqpshv?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59847691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157*y**3 - 74 - 166 - 416*y**3 wrt y.\nAnswer: -777*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 496773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + p = -176, 237 = 19315*r - 19310*r + 3*p for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299681*d**2 + 35133*d + 4 wrt d.\nAnswer: -599362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s + 15. Let x(t) = 15*t**2 + 5*t + 1. Let c(o) = -7*o**2 - 2*o - 1. Let m(k) = s*c(k) - 2*x(k). Differentiate m(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/57915*-15)\/(15\/(-55))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/174 and -17\/2573924.\nAnswer: 7721772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 18. Let x = -18 + 24. Let b be ((-20)\/q)\/((-1)\/x). Solve -h - h + 5*f - 15 = 0, -3*h + 5*f = b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(220)\/sqrt(5)) + -1 + -1 + (sqrt(24)\/((sqrt(8) - -2*sqrt(8) - sqrt(8))*4))**2.\nAnswer: -125\/64 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 4*u - 12*u + 20. Is j(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, f: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4600 is divided by 1474.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = 0, -5*g - 2*m - 2*m = -4. Suppose 0 = -c + 1. Let b = g - c. Which is smaller: -4\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 44*o = -124 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*r - 140, 1191*r + 328 = 3*u + 604*r + 597*r - 137 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 883*q**2 + 1250*q**2 - 570*q**2 to a*q + k + h*q**2 and give h.\nAnswer: 1563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 152*a + 2. Let v be t(1). Suppose 3 + 18 = 3*u. Suppose -u*d = -v - 49. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10970 is divided by 10970.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-30))\/(7\/(-42)). Is -0.12 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = -13. Let c = 2 - p. Put -2, 8, c in increasing order.\nAnswer: c, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 5. Let y(m) be the third derivative of m**5\/12 + 4*m**3\/3 - m**2 - 28*m. Let x(t) = 8*o(t) - 5*y(t). Let l(z) = 11*z**2. Determine x(l(w)).\nAnswer: 847*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, -103.\nAnswer: -103, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.041 and 0.04?\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqcqqqqqqq. What is prob of sequence qccq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + (-10 - -25))*2. Solve x = -19*l - 73 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1812961.\nAnswer: 4\/1812961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10*l**3 + 6 - 2 - 7*l**3.\nAnswer: -17*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 - -780. Suppose x = -12*t + 13*t. What is the second derivative of 449*n - t*n - 4*n**4 - 3*n**4 wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:14 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 59.\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 11*g - 22. Let a be k(8). Let c(t) = -t**2 + 4. Let i(p) = -2*p**2 + p + 5. Calculate a*i(z) - 3*c(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*y - 7*y. Suppose -4*m = -0*m - 4*x - 64, -44 = -3*m + y*x. Let g(r) = -58*r - 1. What is the remainder when g(-1) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six ninths of a day in minutes?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f**2 + 443*f - 117. Determine h(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/973 + -4841\/11676. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/60)\/((-1572)\/224 - (-21 + 14))?\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856, -1039, -1220, -1399, -1576?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 176 = -5*x, -154 = 4*x - 5*k. Let n = -20 - x. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-21)*4860\/(-852930)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640056153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/9)))\/(f\/(f*f**(-2\/5)*f*f*f))*(f**(-2\/7))**(3\/28) assuming f is positive.\nAnswer: f**(12311\/4410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**(4\/17)*(d\/(d*d*d\/(d\/(d\/d**(-4))*d)))\/(d*((((d\/d**(-1\/14))\/d)\/d*d*d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-1417\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 55 - 13)*(0*x**3 + 0*x**3 + 2*x**3) as a + b*x + l*x**2 + h*x**3 and give h.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 + (0 - (-4 - -3)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91129, -88539, -84229, -78205, -70473, -61039, -49909, -37089?\nAnswer: -22585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + 4*d**2 - 3*d**2)*(-d**2 + d**2 - d**2) + d**4 - 2*d + 2*d + 8*d**4 - 3*d**4 - d**4 as k*d**4 + l*d**2 + m + w*d**3 + r*d and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34417, -34412, -34403, -34390, -34373, -34352?\nAnswer: -34327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*b - 124*b - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innnaciiiiaiiica. What is prob of sequence cc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -24 - -18 - (-62 - (-12 - -1))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -58. Suppose 0 = -w*v + 23 + 1. Suppose 0 = -v*x + 615 + 303. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/47448 and -10\/531.\nAnswer: 2799432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 + (2 - (0 + 8))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 14) to base 6.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*c**5 - 44*a*c**2 - 2*a*c + a - 160*c**6 wrt c?\nAnswer: -180*a*c**2 - 19200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by -11.\nAnswer: -975\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.198405 and 0.1561?\nAnswer: 0.0309710205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 2. Let u(w) be the second derivative of w**4\/12 - 11*w**3\/6 + 15*w**2 + 12*w. Let i be u(7). Let c be x(i). Solve 0*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyeeyyeyeeeeey. What is prob of sequence yyyy?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*p + 5 + 11 = 0, 3*l - 2*p = 0. Let n be 5\/l*34\/(-130). Let u = n - 2\/13. Which is the nearest to 0.1? (a) -0.5 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.028, 0.0592, -0.1741?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 874c (base 14) in base 15?\nAnswer: 6de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*((sqrt(13) - (-1 + 1 + sqrt(13) + sqrt(13)) - sqrt(13)) + 2) + (-3*sqrt(13) + -3)**2 + 4*(sqrt(13) + 2 + sqrt(13)).\nAnswer: 34*sqrt(13) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -668976.0654 - -668400. Let d = -576 - h. What is d rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -82*z**3 + 75064*z**5 - 17*z**3 - 101*z**2 - 34*z - 31*z**4 - 75063*z**5 = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 0*b**2 - 49*b + 52*b + 3 + (-1 + 0 + 2)*(-2*b**2 + 0 + 0).\nAnswer: -b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 1, c: 1, f: 2, l: 1}. Give prob of sequence fl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -311*t**2 + t. Let p(a) = -a. What is v(p(q))?\nAnswer: -311*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 50*u**2 - 5. Let p be z(-2). What is the tens digit of p\/(-7) + (-20)\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 840 + 75. Suppose 5*m - g = 3*t, t - 5 + 1 = 0. Round m to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 344 = -2*y, 3*y - 871 = -2*y - l. What are the prime factors of y?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264 is divided by 391.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765799 is divided by 869.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 13. Calculate the remainder when h is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/205, 4.32, -5\/6, 2, -1, 0 in increasing order.\nAnswer: -1, -5\/6, -2\/205, 0, 2, 4.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2458 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let j(f) = f**3 + 11*f**2 + 11*f + 10. Let y be j(-10). Let a(z) = y - 19*z + 0 + 25*z. Calculate a(v(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135*n**2 - n + 198.\nAnswer: 270*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u = -6*u - 61380. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from bbbsfkfkbfk?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 181 - 181 + 11*u**2 + (-11*u - u + 4*u)*(-1 + 1 + 2*u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + a + 3. Let f be i(-3). Let m = f - 49. Let k(w) = -w**3 + 5*w**2 - 3*w + 2. Calculate k(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + y + 5 = -2, 2*y = -5*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:59 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kawk when four letters picked without replacement from {w: 2, a: 8, h: 1, k: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 35. Suppose -3*r - n = -4*z, -8*z + 3*z = -r - 52. What is the remainder when -2 - 0 - (26 - 58) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-8) - (-1)\/2. Suppose -2*k + 470 = c*k. Suppose -k = -9*i + 7*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1622408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 minus -0.964?\nAnswer: 1236.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 90*a + 279 = 0.\nAnswer: -3, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2 + 7*r - 1\/4*r**4 - 7\/2*r**2 - 8\/3*r**3. What is the units digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -694954*n**2. Let x(y) = 3*y**2. Give x(o(m)).\nAnswer: 1448883186348*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154\/12 + 3\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -58*d - 24*d + 34*d - 21*d. Let a(w) = 3*w. Calculate r(a(s)).\nAnswer: -207*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44601987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -16720 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32\/147 - 601\/735. What is the closest to r in -73, 2\/19, -4, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a63 (base 11) to base 3\nAnswer: -100001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 17*v**2 + 18*v + 3. Give s(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(4\/5)*i)**(-5))**(-13\/2) assuming i is positive.\nAnswer: i**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.1, 1564?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3*i + 0*i)*(4131*i + 4325*i - 2954*i) as f + c*i**2 + b*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -671773*f - 7. Let w(o) = 335887*o + 4. Let h(y) = 3*b(y) + 5*w(y). Let u be h(-1). Let s = -511883 + u. What is s rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y. Suppose 2*u - 1650 = -8*u. Let o be 4\/30 - (-2618)\/u. Let c(r) = -11*r - o*r + 29*r. Calculate b(c(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 8. Let p = 79 - 77. What is the least common multiple of (5 + 5)*4\/p and g(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:48 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.3 (b) 1.3 (c) -4\/3 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/(-42))\/((-27)\/(-63)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-123)\/6 - 2\/4. Let o = c - -31. What is the remainder when 68 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 22 + 8*k**2 + 23.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 22. Find the second derivative of -14*f - 6*f**3 + y*f**3 + 2*f wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -7*a + 9*a - 7*a - 2*i, 67*i - 65*i + 10 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.33 + -2.33. Let r = -1.186 + 1.586. Which is the nearest to 1? (a) r (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*q**3*r*y + 2*q**3*y - 36*q**3 - 149*q**2 - 43*q*r*y + 29941*q*r - 109*q*y + y wrt r?\nAnswer: -30*q**3*y - 43*q*y + 29941*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*4.521\nAnswer: 0.13563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3007689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 8, o: 2}. What is prob of sequence km?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178258157 a multiple of 3209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -15*x + 16. Let g be (0*(-5)\/(-20))\/x. Factor 1\/3*c**2 + 0*c + g.\nAnswer: c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from iieeiegiiigie.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4*(-4)\/(-184)). Let g = -17 - k. Suppose 2*d + 0 = -4*n - g, 3 = -n. Which is the smallest value? (a) -0.2 (b) 1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741658670 a multiple of 1055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.78593l in millilitres?\nAnswer: 59785.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53155, 2\/33, -3, -3\/17.\nAnswer: -3, -3\/17, 2\/33, 53155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476 and 122164.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 32*c + 4596 = -60*c. Is c a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/7 - 2\/(-7). Suppose 3*w = t + u, 5*t + w + 23 = -w. Let k(d) = 5*d**2 - 6*d - 6. Let p(m) = -4*m**2 + 5*m + 5. What is t*k(c) - 6*p(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1\/9)\/y*y)*(y*y\/(y\/(y\/(y\/y**(-3))*y))*y)\/y)\/((y\/(y**8*y*y*y))\/y*y\/(y\/y**(-6))) assuming y is positive.\nAnswer: y**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-2\/37)\/x)*x**(-7\/3) assuming x is positive.\nAnswer: x**(-31\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Suppose -27 = -o*t + 45. Suppose 3*v - 3 = t. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**3*p**3*s - 7*h**3*p*s - 3*h**2*p**3*s - 3*p**3 + 3*p**2*s wrt h.\nAnswer: -90*p**3*s - 42*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*i - 2*i + 5*i - 4*i + (-4*i - i + 4*i)*(0 + 0 + 2) + 2*i - 5*i + 2*i + 47*i + 159*i + 507*i.\nAnswer: 711*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18745, 36761, 54777?\n\"Answer: 18016*x + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -57*u**2 + 76*u + 175. Give q(-3).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.126.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 = 0, 5*o - 4*x + 25 = 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.95731 years in months?\nAnswer: 995.48772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 50206843 - 50206843.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5 - (47 - (27 + -12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1953.3 * 0.006.\nAnswer: 11.7198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09255347 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0\/4 - 1)\/13. Let l(m) = -m**2 - 8*m - 5. Let k be l(-6). Suppose 0 = -4*n + k + 5. What is the biggest value in p, n, -0.2, -0.01?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-10)*270\/(-72). Find the first derivative of 12*q + 42*q + 29*q - 25*q + t*q + 21 wrt q.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -5. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k - 18. Let n be a(4). Is -17\/3 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q - 1. Suppose 65 + 0 = -65*v. Let t(s) = s. Calculate v*i(o) + 5*t(o).\nAnswer: 11*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 15.5. Let p = 0.08 + 0.02. What is the closest to 3 in -1\/3, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 + 4*t - 6. Let o be p(3). Let j = 78.7 - -104.1. Let u = j + -183. Which is the nearest to u? (a) 2\/15 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 - y + 3. Let o be i(4). Let j(k) = -6*k**3 - k**2 - k. Let r be j(o). Differentiate r - 2*u + u - 5 with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98041 is divided by 49001?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {k: 3, v: 5, f: 1, q: 4, c: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 6 - -3035 - (-1 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71684*g + 4*g**2 - 200 - 6*g**2 + 71683*g to the form k*g**2 + w + z*g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -571 + 857. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/20 and -31\/52316?\nAnswer: 261580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x + 0*x**2 + 2\/3*x**3 - 1 + 1\/2*x**4. Let q(u) = -2 + 2*u**2 + 2*u**3 - 2 - 2*u**2 + 3*u**2. Give 4*q(c) - 5*y(c).\nAnswer: -2*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*u + 536 wrt u?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -3, -1070?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Let w(g) = -2*g + 6. Let n be w(x). Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3873300 to the nearest ten thousand.\nAnswer: 3870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/60*5*(-8448)\/880*(-20)\/(-2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058275580?\nAnswer: 2, 3, 5, 29, 1182917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2402 - -2402.1633. What is s rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67285392 to the nearest integer?\nAnswer: 8203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899460 bigger than 8899460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 7*w = -4*r - 25, r - 2*w + 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/28)\/((-621)\/(-21)))\/((-42)\/(-126))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -778666600 rounded to the nearest one million?\nAnswer: -779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 (base 9) in base 13?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*i = -7, -5*l + 3*i + 14 - 1 = 0. Solve 6*f - l*f + 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2610015)\/7 + 4\/14. Let u = m + 1782859. What is u rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022321122 (base 4) to base 3\nAnswer: 120120211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4 + 3*v - v**2 - 4 + 0*v**2. Let s be q(6). List the prime factors of (-50)\/s - 2\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k + 891. Let x be o(99). What is the second biggest value in x, 11, -5, -1\/3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52835\/2 or 26418?\nAnswer: 52835\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*h + 2*o - 13, -2*h - 56 = -2*o. Suppose -9 = -x + 19. Let q = h + x. Put q, 2, -5 in descending order.\nAnswer: q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -758 + 762. Which is the nearest to 0? (a) -53 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3013\/12 - 749\/3. Calculate the common denominator of g and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 6:25 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 10. Let w(u) = -3*u**3 - 2*u + 1. Let p be w(1). Let s = x - p. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 93*y - 95*y + 211*y. Let q(o) = 3*o**2. Determine q(u(i)).\nAnswer: 131043*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2 - 3*a + 1. Let d be m(0). Let r(z) = -7*z**2 + 3*z - 7*z**2 - 1 - z. Give r(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1154*n**2 + 21*n + 123*n - 150*n to the form s*n + p + h*n**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - -8) - (-4 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35912703 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106886096 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*c + 4*c**2 - 93*c)*(c + 0*c + 0*c)*(3*c**2 + 11*c**2 - 9*c**2).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, 2\/11, -4, 0.7.\nAnswer: -30, -4, 2\/11, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3130545 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.77 and 0.148?\nAnswer: -1.74196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 11*b - 2. Let q be j(-12). Calculate the greatest common divisor of 110 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59\/3 + 1\/3. Suppose -3*a = -3, 5*a = -n - 4*n + s. What is the lowest common multiple of n and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 5a?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - -3. Let g be (-3 - -5)\/(-2) + x. Suppose 2*k - 2 = 0, -2*l + 13 + g = 5*k. Calculate the highest common divisor of 176 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4 + 6 - 356*i**3 - 568*i**3 - 289*i**3 as g*i**2 + j + l*i**3 + t*i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151000?\nAnswer: 2, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48495 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a + 22. Is h(13) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3552740 and 0.1?\nAnswer: 355274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -3679\nAnswer: -18395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668 + -1236.8.\nAnswer: -1904.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:07 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -27548000 to the nearest one hundred thousand.\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 4*u**2 + 8*u - 17. Let g be r(3). Solve -4*f + g = 3*x + 3, 3*f + x = 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/29, 173.9, -3, 18, -0.11 in descending order.\nAnswer: 173.9, 18, -3\/29, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 - 2\/13*l**3 + 0 + 2\/13*l.\nAnswer: -2*l*(l - 1)*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 2*r**2 - 2. Suppose -79*w + 78*w + 3 = 0. Give m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 99. What is the closest to -1\/4 in m, 1, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 9:15 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c - 2639 = -55*c - 157*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3756835941 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 123*a. Let l(f) = 4*f + 62. Let u(y) = 2*y + 93. Let d(o) = -3*l(o) + 2*u(o). Give d(h(v)).\nAnswer: -984*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 39. Solve -5*y - 4*q - 45 = 0, -2*y + t*q - 2 = -12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 39 - 29 = 0. Let d(p) = 2 - 1 - p - 1 + 6 + p**i. Is 16 a factor of d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -3.7. Let u = 4.2 - i. Which is the third biggest value? (a) 2\/13 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzv when four letters picked without replacement from zzzzvzvvzvzvzzzzvzz.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(16)\/sqrt(8)*2.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341 - 0?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - z**2 + z**2)*(0*z - 4*z + 3*z)*(-2 - 6 + 0) as p*z**3 + a*z**2 + f + x*z and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10639 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6)**(40\/3)*j**(1\/4)\/(j\/(j\/(j**8\/j))*j))**44 assuming j is positive.\nAnswer: j**3179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from bbbubbubbcbbbucbb.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137992088 to the power of 1\/2, to the nearest integer?\nAnswer: 56018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 2*q. Let y(j) = -2*j**2 + j. Let g(v) = 5*i(v) - 6*y(v). Find the second derivative of g(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/7 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -286*j**2. Let u(h) = -9*h**2. Determine u(b(n)).\nAnswer: -736164*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*v - 22 = 0, -2*v = 2*y - y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 156 = -5*c + 76, -134 = -3*c - 5*f. Let u = 18 + -4. Suppose s + u = v, -2*s - 30 = -2*v - s. Calculate the highest common factor of v and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-11) - 4704247\/1608222. Let q = w - -172\/413. Find the common denominator of q and -64\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9146259 divided by 77\nAnswer: -9146259\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31054 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-3)\/sqrt(4))\/sqrt(8) - (-4 + -3*sqrt(3) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75783556.\nAnswer: 2, 3593, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + -21 + 19 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5245.\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -149. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*m. Let h = -11 + 9. Let t be (1 + m)*h + 5. Solve -2*v - t*x = -1 - 1, 2*v = x + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/6))\/(m*m**4)*((m\/(((m*m*m**5)\/m)\/m*m*m))\/m)\/(m\/(m\/m**(-7))) assuming m is positive.\nAnswer: m**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -3. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*a, 2*y - 12962 + 13036 = 35*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u**3 + 7*u**2 - 7*u - 9. Suppose -59*o = -8*o + o - 572. Let l(w) = 13*w**3 + 4*w**2 - 4*w - 5. Calculate o*l(z) - 6*f(z).\nAnswer: -7*z**3 + 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 97. Is 12 a factor of (y\/24)\/((-4)\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - 71) + (-5 + 5 - -5) - (5 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5180 divided by -1295.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 + q**2 - q - 1. Let y be d(-1). Let z(k) = -k**2 + 5*k - 4. Let j be z(3). What is the smallest value in j, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**7\/105 + 187*k**6\/40 - 155*k**4\/24 + k**3 - 22*k**2 - 38*k + 1. Find the second derivative of j(a) wrt a.\nAnswer: -24*a**2 + 3366*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -8. Suppose -4*w + s = 21, 5*w + 4 = -v*s - 17. Let i = -0.94 - -0.74. What is the closest to -0.1 in i, 4, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -34. Let i = -1 + 1. Let o = i - -1. Solve 14 + o = -f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -42. Suppose -4*f + j - 3159 = 0, 0 = -4*f + f - 4*j - 2393. Let n = f - -800. Calculate the lowest common multiple of n and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-4))\/7*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*((-16)\/(-10))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25407*r**3*s - 7204*r**3 wrt s?\nAnswer: 25407*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + 497. Let d = 337 - p. Which is greater: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 3*a + 9*a + 18*a + 31*a + 6*a - 5*a + 3*a + 0*a - 3*a - 2*a + 3*a + (-2 + 0 + 1)*(-2*a + 5*a - 2*a).\nAnswer: 61*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1576 in -0.1, 1.52, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/5)\/((-1)\/5))\/(((-76464)\/(-216))\/(-177))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -21, -46, -71, -90?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*z = 14, -z + 0 = -t - 1. Let n = 59 + -61. Let r(u) = u**3 + 12*u**2 + 17*u - 31. Let f be r(-10). What is the closest to f in t, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 9*z + 19040. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:25 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-3)\/54*-3. Let n = 84 + -83. Let k be n - (18\/20 + 8\/16). Which is the second smallest value? (a) 7 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 3*k - 1. Let a(d) = -30*d**2 + 13*d - 12. What is a(y) - 4*c(y)?\nAnswer: 6*y**2 + y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:39 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/15 + ((-233996)\/5)\/(-4). What is j rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 93. Let f = m - 41. Let i = 0.058 - -0.342. Which is the biggest value? (a) -1\/4 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h, 2*x - 4 = -4*h. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742298031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238\/3*36\/24 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + (-284)\/10 - -9)\/((-1)\/5). What is the greatest common factor of 48 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -724 - -1143. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8279383 to the nearest integer?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1978, 3952, 5924, 7894, 9862?\nAnswer: 11828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.79 and 5.\nAnswer: -53.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/(-105))\/((-2)\/(-21)*-3). Let s be (j\/4)\/((-2)\/(-40)). Solve -o - s = -0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 4496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146 - -4?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26542*f = 25354*f - 28512 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 + 2*u**3 - 35939*u**2 + 2*u - 10063868 wrt u?\nAnswer: -8*u**3 + 6*u**2 - 71878*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37377 and 78417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -139280 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - sqrt(72)*1)**2 - sqrt(2))*5.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + a**2 - 2*a + 2. Let n(o) = 17*o**3 - 4*o**2 + 9*o - 9. Let j be -19 + (1 - (4 + -3)). Let z = j + 10. Calculate z*i(d) - 2*n(d).\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40135 - 40135. Let z(c) be the first derivative of -1\/10*c**2 + 1\/15*c**3 - 34 + y*c. Factor z(b).\nAnswer: b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346072696, 346072695, 346072694, 346072693, 346072692, 346072691?\nAnswer: 346072690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = 36. Let i = -4 - b. Suppose 3*w + 4*d = 68, w - 4*d = -i*d + 36. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -50. Put p, 0, -2\/5, -0.3 in increasing order.\nAnswer: -2\/5, -0.3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/360 - w**5\/30 - 13*w**4\/24 + w**3 - 5*w. Let x(f) be the second derivative of n(f). Is x(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 6. Suppose -15 = -h - 58. Let m = -47 - h. What is t(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from xxxxrxxxrxxxxrxq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*s + 370*s + 17034 = 54482 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1405 + 1405.3. What is the closest to -2\/49 in -3, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*k - 1633 + 56740. Suppose 41*x = 42*x - k. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 23*g**2 + 13*g + 17. Let h be z(-12). Suppose -5*d = -h, 4*r + d - 217 = 4*d. What is r rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-4 + ((sqrt(343) + -2)**2 + -3 + 4*-2*sqrt(343))*-4).\nAnswer: -672*sqrt(7) + 2764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1729*k - 143. Let i(w) = -36*w - 3. Give -286*i(c) + 6*r(c).\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-1038 + 282 + 343 + 239)*(-2*s + s + 0*s).\nAnswer: -348*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5 + 12*h**4 + 20*h**3 - 108*h**2 + 128*h - 48 = 0. Calculate h.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:00 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from {e: 2, c: 1, y: 1, q: 7, f: 2, g: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -644098649226 less than -3.3?\nAnswer: 644098649222.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -765, -863, -1139, -1683, -2585?\n\"Answer: -15*c**3 + c**2 + 4*c - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1584) + -3)*-4 + (-4 + sqrt(275))*4 + -3.\nAnswer: -172*sqrt(11) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*d - 8 - 2 = 0, -y - 4 = 2*d. Suppose 0 = -p + 2*i + 8, y*i - 7 = -5*p + i. Let o = 9 - p. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1325.1 + -1325. What is the fourth smallest value in 3, 1, -106, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*n - 4*d, 0 = -3*n + 8*d - 3*d - 154. Let l = n - -29. Let y = l - -17. Solve -y*a + 7 = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 24*m**2 - 27*m + 10. Let n be z(20). Let a = 10711\/5 + n. What is the common denominator of a and 24\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3575905*a**2 - 3575898*a**2 - 1 + 1.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 3:00 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**3 - 5*y**2 - 4*y + 2. Let s(r) = 13*r**3 + 7*r**2 + 6*r - 3. What is -7*o(d) - 5*s(d)?\nAnswer: -2*d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -9 (b) -1\/4 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*o + 26, 4*n - 25*o = -23*o + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i + 85\/2*i**2 + 3*i**3 + 3\/4*i**4 + 102. Find the second derivative of x(o) wrt o.\nAnswer: 18*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/(-15)*(-3 - (-1062)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from przpppzzrzppzrpp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64154 + -40098. Is m a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84888540 divided by 44\nAnswer: -1929285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -307*w + 603*w - 31*w**2 + w**3 - 326*w - 58. Let v be b(32). Solve -s = 4*m + v, -5*m - 3 - 3 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 6. Suppose -2*b - 3*b = -20. Let m be l(b). Let g = 3 + -1. Solve g*i = -3*t + 6*t + 1, m*i + 1 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/(-96))\/(-2*4\/144*2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 7937*h + 2153996. What is y(255)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 4*a. What is the third derivative of 0 + 0 - s**6 + 2*s**2 + a wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*d + 0 = -188, -4*d = -j - 56. What is the tens digit of ((-16)\/16)\/(2\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1678, -3352, -5024, -6694, -8362, -10028?\nAnswer: -11692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.02 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -43, 7, 5\/3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 9*w**2 + 12 + 7*w**2.\nAnswer: w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 42. Suppose i - 5*i = a. Let w(t) be the third derivative of t**6\/120 + 2*t**5\/15 + 7*t**4\/24 + t**3 - 5*t**2. What is w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2\/7, 117, 0, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3. Let u(f) = -16*f**3 - 3*f. Let k(a) = u(a) - 5*z(a). What is the second derivative of k(t) wrt t?\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 5*u**2 - 3*u - 4. Let m be x(4). Let g(o) be the third derivative of o**6\/120 + 13*o**3\/2 + o**2. Is g(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 94 in -1\/4, 5384, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.6 + -19.6. Let z be (3\/(-8))\/((-3)\/2). Which is the closest to z? (a) m (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + 145. Let z = m - 246. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/240 + c**5\/60 - c**4\/6 - 4*c**2. Let d(f) be the second derivative of n(f). What are the prime factors of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24350 divided by 974\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349891*a**2 + 10219*a wrt a.\nAnswer: 699782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0918232 minus -677623801?\nAnswer: 677623800.9081768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50606*q - 1704 = -50535*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69843\/10 - -6991. Let l be 20\/4 - (-2)\/(-2). Calculate the common denominator of f and (l\/36)\/((-4)\/618).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 23. Let i = s + 9. Suppose 3*d - 2*o - 233 = 0, i*d - 3*o + 151 = 5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 2. Let p be u(2). Find the second derivative of 2*s**2 + s**2 - s + 3*s - p*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**3\/5 + 866*b**2 + 303656*b\/5 - 40872 = 0. What is b?\nAnswer: -65, 2\/3, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:58 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**2 + 6*q**2 + q**3 - 517 - 16*q**2 - 70*q**2 wrt q.\nAnswer: 3*q**2 - 182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -164 + 164 + 9*a. Let k(d) = 5*d**2. Determine s(k(j)).\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + x)*(218 - 6*x + 0*x - 220)*(-14 - 108 - 62) in the form j*x**2 + y + h*x and give h.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705472 and 584?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeut when four letters picked without replacement from {e: 2, u: 1, a: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1 and -0.82.\nAnswer: 4.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 greater than or equal to 11.41875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095196939 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -57, 4, -1, -3.\nAnswer: -57, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 44448.\nAnswer: 44447.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 12*j**2 + 15*j - 5. Let q be x(13). Calculate the greatest common divisor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 613, 1, -3, 0.\nAnswer: -3, 0, 1, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -9*s + 24. Let y(f) = -s + f + 14 - 13 + 0*f. Calculate the smallest common multiple of y(15) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -52, -105, -160, -217?\n\"Answer: -z**2 - 48*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4 - 10*o**3\/3 - 4. Find the third derivative of q(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 731409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 8\/20 + (-20349)\/135. Let o = 152 + v. Suppose -2*w = -3 + 1. Which is the fourth biggest value? (a) -5 (b) w (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**4 + p**2 - 51*p**3 - 9*p - 2*p**4 - 2*p**4 + 49*p**3 to v + u*p**3 + f*p**2 + d*p**4 + b*p and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4 - 4*y - 4. Let p(z) be the first derivative of z**3\/6 - 2*z + 2. Let h(s) be the first derivative of p(s). Give h(r(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -10, -5\/2, -58, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2\/3*n**3 + 0*n**2 + 0*n - 4. Let s(k) = 4*k. Determine s(c(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22599*u**6 - 13*u**4 - 15981*u**2 - 75*u?\nAnswer: 2711880*u**3 - 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -486, -825, -291.\nAnswer: -825, -486, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/16 + (-218)\/(-8). Let f = -216772 + 216772. Determine c so that 18*c**2 + 33\/4*c**3 - d*c + 3\/4*c**4 + f = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 48 - 8 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b*b\/b**3*b*b*b)*b*(b*b\/(b*b*b**(3\/2)))\/b)\/((b\/(b**6*b))\/(b*b\/(b\/(b**(-1\/6)\/b*b))*b)) assuming b is positive.\nAnswer: b**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/50*15\/(-6). Let a = -1516 - -1653.6. Let l = a + -138. What is the third biggest value in 3, l, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25302*j. Let c(b) = -132*b**2. Give c(w(u)).\nAnswer: -84505238928*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 2, k: 1, u: 4, w: 2, i: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1211, 2420, 3629, 4838, 6047?\nAnswer: 7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1166*-2874\nAnswer: -3351084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p + 2. Let n(w) = -17*w + 5. Let g(f) = -11*a(f) + 4*n(f). Let o be g(-4). Suppose 2 + o = 4*b. Solve 0 = 4*j - b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)*(-3)\/3. Suppose 7 = 5*k - v. Let r = 1 + k. Solve b = r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908994?\nAnswer: 2, 11, 23, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/28391880 and 59\/33123860?\nAnswer: 198743160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 - 4*w - 3. Let h be p(-2). Let v = 27 + h. Suppose f + 2*f - v = 0. Solve -4*l + 2*l = -f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-1097145)\/(-195))\/9 - (-2)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64815136 divided by -2936.\nAnswer: 22076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**4\/8 - 4*f**3\/3 + 2*f**2. What is the remainder when y(-8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -0.006?\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 + 2*h + 1. Let m = -1 - -6. Let p be m*(6\/5)\/2. Suppose p*r = -3 - 9. What is j(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 40 = -11*j. Suppose 4*r + 1912 + 3901 = 3*t, -j*t + 9640 = 3*r. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + g**4 + 2*g**5)*(-3 + 4 - 3) + 3*g**5 + 2*g**5 - 6*g**5 - 242*g**5 - 1230*g**5 - 321*g**5.\nAnswer: -1798*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -2720773?\nAnswer: 2720776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {p: 2, a: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvv. Give prob of picking 1 v and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 106. Let t(v) = -2*v - 53. Let w(g) = 6*r(g) + 11*t(g). Let z be w(21). Let n = 43 - z. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/(-30)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543971573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62014702, 62014701, 62014700, 62014699, 62014698, 62014697?\n\"Answer: -j + 62014703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*q**2 + 1 - 11*q + 15*q**2 + 16*q**2)*(-10*q + 8*q + 10*q).\nAnswer: 8*q**3 - 88*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4)*(-10)\/(-5))\/((-17)\/(-12)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -129, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6717 and 2?\nAnswer: 6715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 47237256 divided by -18\nAnswer: -2624292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0534 - 53200441.678?\nAnswer: -53200441.7314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 + 2*f - 7. Let d(j) = -67*j**2 - 15*j + 51. Let n(w) = -2*d(w) - 15*o(w). Let r(i) = -i**2 + 2. What is 5*n(p) - 8*r(p)?\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 5:43 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 102\/(-153) + 11 + (-110)\/15. Determine t so that -3\/7*t**u + 0*t + 0 - 3\/7*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -18. Let r(o) = 18*o**2 - 2*o - 1. Calculate the remainder when r(-1) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -315, -1387, -3227, -5829, -9187, -13295?\n\"Answer: l**3 - 390*l**2 + 91*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 0.4, -7\/11, 9946?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 156, 74, 56.5 in decreasing order.\nAnswer: 156, 74, 56.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -495 + -5?\nAnswer: -49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.1 - -7. Let m = 3 - -15. Let f = -107\/6 + m. Is b equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 13) in base 3?\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -99. Suppose 0 = -10*p + 12*p - 220. Suppose p = 12*m + 38. What is the greatest common divisor of m and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttptpttpptppp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 6 = 5*i. What is j in -10\/3*j**5 - 34\/9*j**4 + i*j**3 - 4\/9*j + 2*j**2 + 0 = 0?\nAnswer: -1, 0, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23379869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m**2 - 19*m + 104. Is a(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6127163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g)**(-11\/5)\/((g*g\/(g**(2\/25)\/g))\/(g*g\/g**(1\/8))))\/(g*(g\/((g**7*g)\/g))\/g*g*g**(-7)*g*g**(-2\/5)*g*g*g*g\/g**(-1\/7)*g*g) assuming g is positive.\nAnswer: g**(2817\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/6, 7, 3.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(153) + -5 + sqrt(153))**2 + sqrt(153)) + -1.\nAnswer: -228*sqrt(17) + 2555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 273?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 + 2*r**5\/15 + r**4\/3 - 3*r**3 - 110*r**2 + 32. Calculate a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.502*-0.1.\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 27*p**2 + 148*p + 4. Determine v(-17).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25) - sqrt(225) - sqrt(25) - sqrt(25))*-1)\/(sqrt(5) - -1*sqrt(15)\/sqrt(3))*-3*6)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16479225 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*g + 20*g = 0. What is the third smallest value in -2\/5, g, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 6*g - 7*g - g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2. Let o(w) = 8*w**3 - 10*w**2 - 2*w. Suppose d - 5 + 6 = 0. What is d*o(z) - 10*u(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 160213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 34288367.123 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/1*24\/20. Suppose 0 = l - 2*l + z. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -68. Suppose d*a = 3*a - 885. Let g = a - 191. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.6 - 33.7. Let p = -80 + h. What is the nearest to -9 in 2\/7, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 4)*(-2*q + 4*q - q) + 3*q + 2 - 2 - q + 3*q - q to the form k + d*q and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.59 + 0.6. Let q = -0.99 - i. What is the second biggest value in 3, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94344 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + y + 7. Let t(n) be the second derivative of n**2\/2 - 3508*n + 2. Suppose -g = -3 + 2. Give g*a(u) - 6*t(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*g**4 + 0 - 3\/10*g**2 - 1\/5*g + 0*g**3.\nAnswer: g*(g - 2)*(g + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s + 4*i + 56 = 0, -9*s - 62*i + 42 = -12*s - 65*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2 + 1. Let v(w) = -9*w**2 + 1. Let t(d) = -4*u(d) + 3*v(d). Let y(s) = -4 + 5 + s - s - 4*s**2. Determine 3*t(a) + 4*y(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2868*p + 5375*p + 3176*p + 3928*p to i + h*p and give h.\nAnswer: 9611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10715 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p)*(2*p - 3*p + 0*p + (2*p - p - 3*p)*(1 - 1 + 1))*(-107*p - 299*p + 169*p).\nAnswer: 711*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -2.9.\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 536.49986 to 1 decimal place.\nAnswer: 536.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 11. Let x be (-120)\/45 - -3 - (-31)\/(-3). Give n(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467223389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.2 + -15. Let c = o - 0.2. Let q = -1 + 1.3. Put c, 1\/3, q in decreasing order.\nAnswer: c, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 5) in base 2?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 7:32 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-6) - (-6)\/(-18). Calculate the highest common factor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 less than 51558662?\nAnswer: 51558662.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 57*u - 200. Determine i(80).\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1202193, -1202235, -1202305, -1202403, -1202529?\nAnswer: -1202683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 8*s + 1. What is the units digit of r(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228006578*i**2 - 168415739*i wrt i?\nAnswer: -456013156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2047 - 1995 = 5*l, 0 = -13*l + 2*b + 126 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 237 = 226. Suppose -j - 30 = -f*j. Solve -m + 4*u - 21 = -3, 4*u = j*m + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9399885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (-27 + 45 - -21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - k - 2. Let z be j(-2). Suppose 4*q + l = 2*l - 3, -2*l = -2*q. Let d = q + 31. What is the greatest common factor of z and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (259*z**2 + 91*z**2 - 76*z**2)*(-z**2 - 3*z + 3*z) to the form s*z**3 + u*z**4 + o*z + t + w*z**2 and give u.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80918449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 517 (b) -0.1 (c) -3 (d) -5.74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 15\/(-9))*6. Let o(q) = q**2 + 2. Suppose 0 = -3*z + 2 + 7. Let r(j) = j**2 - z*j**2 - 3 - 95*j + 95*j. What is u*r(w) - 6*o(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 17. Let g = 228 - 242. Sort g, f, 2, -3.\nAnswer: g, -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420829038 to the nearest integer?\nAnswer: 20514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 18*u - 14. Let q = -160 - -162. Let b(c) = -3*c**2 + 38*c + 28. Let r(n) = q*b(n) + 5*s(n). Determine r(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 18*w. Suppose -3*k - 14*k + 68 = w. Solve 20 = k*m - 4*r, -m + 4*r = -0*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(2*l + 2*l + 4*l) in the form b*l + k and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*c + 286468 + 436904. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142716 is divided by 6737.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Let y = -14.3 - -5.9. Let g = -8 - y. Which is the biggest value? (a) k (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 - 0\/(-1). Let s be ((-6)\/8)\/((-6)\/4) + (-1365)\/(-78). Solve 3*j - 3*l + 9 = 0, -2*j - w*j - s = 2*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -7, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 2. Suppose 0 = l - 4*d, 0*l - 3*d = l + 7. What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 1)*(-q + 3*q - q) - 2*q + q + 3*q)*(4*q**2 - 2*q**2 - 4*q**2 + q**2 - 4*q + 4*q + (0 - 2*q**2 + 0)*(5 - 1 - 2) + 3*q**2 - q**2 - 3*q**2).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -8717?\nAnswer: 8727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**5 - 16604*q**4 + 7399*q - 1?\nAnswer: 40*q**3 - 199248*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -8 - (-41)\/10. Let x = 7\/30 + b. Factor 0*i + i**5 - x*i**2 + 0 + 5\/3*i**4 + 1\/3*i**3.\nAnswer: i**2*(i + 1)**2*(3*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 86679248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 16*t + 31 + 17*t)*(82 - 82 + 33*t) to w + p*t + u*t**2 and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 51500000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49113619 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/2 + 7*f**2\/2 - f. Let d(q) = -q**3 + 4*q**2 - 3*q + 2. Let n be d(4). Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 - 2*k - 1. Let j(y) = y**3 - 14*y**2 - 50*y - 23. Let m be j(17). Let v be 1*(-2 + (-4 - m) - 1). What is w(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59693201*u + 52322022.\nAnswer: -59693201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 13*v + 45. What is the smallest common multiple of p(6) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2250 divided by 3.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*h = 5*q - 5231, 278*h - 281*h + 0*q = -3*q + 57 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12020 - 6531. List the prime factors of t.\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 5, q: 1, o: 1, k: 2}. What is prob of picking 2 d?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*f - 490 = -0*f, 0 = 3*h + 3*f - 726. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21054670843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-43 - (-65)\/((-11375)\/(-1330))).\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22545, 90173, 202887, 360687?\nAnswer: 563573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/30 + 2\/(-5). Let w = 0.42 + -0.02. Let s = -1.4 - -1.9. What is the nearest to c in -4, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/((-47)\/((-52875)\/(-9)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*3\/(-6) - 1. Let l be (13\/((-1456)\/(-5688)))\/((-2)\/4). Let f = 101 + l. Which is greater: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-63706\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/5 - (-24)\/(-40). Let q(m) be the first derivative of 48 - 51*m**3 + 26*m**k + 88*m**3 - 45*m**3. What is the second derivative of q(b) wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 117 = -24*w. What is the smallest common multiple of 45 and w?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4053653148 - -0.12\nAnswer: 4053653148.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -13) + -34 + 25\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*55\/132*2\/20.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 + p + 4. Let o be b(0). Suppose 3*i + 5*n = 2*n, -o*n = 12. Differentiate 0*g**i - 5*g**3 - 152*g + 14 + 152*g with respect to g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -199, -402, -609, -820, -1035, -1254, -1477?\n\"Answer: -2*p**2 - 197*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -75*y**3 + 78*y**2 + 151*y. Let j be t(-2). Calculate the greatest common divisor of j and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x**5 + 4*x**2 + 21*x - 4. Let r(w) = 48*w**5 - 11*w**2 - 64*w + 11. Let p(s) = 11*o(s) + 4*r(s). What is the second derivative of p(m) wrt m?\nAnswer: 320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3*h**5\/10 + h**3\/3 + h**2\/2 + h. Let v(q) = -4*q + 47. Let t be v(12). Let f be i(t). Solve 2 + 3 = f*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 19*n - 15*n**2 - 15 + 11 - 10*n**2.\nAnswer: -25*n**2 + 19*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(2448))**2 + sqrt(833)*-1 + 5.\nAnswer: -14683 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -0.2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25c3f5 (base 16) to base 11\nAnswer: 1440558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 s when four letters picked without replacement from {o: 4, s: 2, e: 1, w: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4) - 1221\/(-22). Suppose 3*y = -n - 2*n + r, 2*y = n + 44. What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)\/(-3 + 1). Suppose u = i + 4*a - 23, i - 4*i + 36 = a. Solve 3*r - 2 = -i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/11 (c) -37 (d) 5.9 (e) 0 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:11 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -128.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109936756.\nAnswer: 2, 17, 95101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003076222 rounded to seven dps?\nAnswer: -0.0003076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 15. Suppose i*d + d = 0. Suppose -2*t - t + 18 = d. Solve -f + t = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/20 - 30*k**2. Let j(i) = 15*i - 13. Let v(b) = 7*b - 6. Let g(w) = 6*j(w) - 13*v(w). Give g(n(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 - -496. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 37*g. Let j(b) = -937*b + 4. Determine j(a(i)).\nAnswer: 1874*i**2 + 34669*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (sqrt(528) - (sqrt(528) + (sqrt(528) - 5*1*sqrt(528)) - sqrt(528)) - sqrt(528)) - sqrt(528))\/(-2*sqrt(176)))**2*-6.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 + 9*n**2 - 3*n - 27. Let z(a) = 14*a**3 + 26*a**2 - 10*a - 82. Let w(y) = 8*k(y) - 3*z(y). List the prime factors of w(-8).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12)\/((-2)\/(-3)). Let o(v) = 71*v + 1. Let g be o(b). Suppose 4*x - 5*k = g - 29, 4*k + 12 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 41*c + 14. Calculate o(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 + 1. Let a be o(4). Let d be (-6)\/(-9)*3 - 2. Solve d = w - 1 - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 165*g = -18*g + 370*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*o = -233*o - 297 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29807 + 4aa?\nAnswer: -2932a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -669435.51 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0445 and -6.\nAnswer: -5.9555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = -p, 3*p = 4*n - 23 - 6. Suppose -8 = -2*h, 8 = d - 3*h + n*h. Calculate the smallest common multiple of 4 and 1 + (d\/2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 814191 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152026398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1069 + t**4 - 28*t + 1069)*(0 + 0 + 2 - 3 - 2 + 3 + (2 - 1 + 0)*(-1 + 0 - 1) - 3 + 7 - 3).\nAnswer: -t**4 + 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -260408, -260023, -259642, -259265, -258892?\n\"Answer: -2*n**2 + 391*n - 260797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.6 + 108.6. Let c = -98.02 + r. Let f = 0.33 + 2.67. What is the closest to c in -5, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198303 is divided by 28243.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-3) - 22\/(1122\/17). Which is the fourth biggest value? (a) -0.2 (b) w (c) -2\/27 (d) 3 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*16236301.\nAnswer: 3247260.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 - -220. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8717 + -1.0717. What is the nearest to 1 in a, -159, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzziiwwkzz. Give prob of sequence ziwz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 < 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 37 = 3*h, -471*h + 4*t = 1317 + 547 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 - -100. Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 24826.31ug?\nAnswer: 0.00000002482631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 230*x**2 - 1770*x - 138. What is w(-68)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137353 (base 12) in base 13?\nAnswer: b43c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12346 + -37034\/3. What is the closest to -6 in -3, -1, 1, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 + 4 = a. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - r - 2*r - 2 + 4*r. Let t be h(4). Let s = t - 14. Solve -3*x + 19 = s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/10 + 1464351*c**3\/10 + 585741*c**2\/2 + 1464353*c\/10 = 0. Calculate c.\nAnswer: -1, 0, 1464353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210100110010 (base 3) to base 16.\nAnswer: e8578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123531505 (base 6) to base 15.\nAnswer: 32cc35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 2*h + 13. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.008 + -3.092. Let a = n + 3. Let r = 13 - 10. What is the third biggest value in a, 1\/7, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*i - 55, 18 = 4*g + 4*i - 18. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3652050 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 0. Suppose -b*p + 15 = 3*p. Suppose -6*i + 25 = -3*i - 5*s, 0 = p*i + s - 31. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 - (0 + 1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -570 (base 11) to base 4\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -10 (c) -0.3 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 + 5 + -4 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -44*w**3 + 4*w**2 - 6*w + 2. Let v be m(1). Suppose l - 78 = 3*l. Let a = v - l. Let j(d) = -d**2 - 2*d - 5. What is j(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkf when three letters picked without replacement from qfukkxxzf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) 490 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 5. Let c(g) = -11*g + 6. Let y(k) = -5*c(k) + 6*u(k). Let o(b) = 2*b + 8. Calculate o(y(s)).\nAnswer: 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*r**3 + 33*r**3 - 173*r**2 + 125*r**2 wrt r?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8345831 minus 0.068?\nAnswer: -8345831.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8)*(-280)\/(-70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.37 + -0.55. Let i = -180.18 - u. Let z = i + 180.99781. What is z rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -126.723\nAnswer: 124.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(20)\/sqrt(4)))\/((sqrt(8) + sqrt(8) + sqrt(40)\/sqrt(5))*5).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -125*m**2 - 111*m + 14. Let d(o) = -128*o**2 - 111*o + 17. Let v(a) = -8*d(a) + 9*q(a). Factor v(t).\nAnswer: -(t + 1)*(101*t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9254, -74573, -251856, -597083, -1166234, -2015289, -3200228, -4777031?\n\"Answer: -9330*s**3 - 2*s**2 - 3*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (41 - (-28 + 26)) + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 15451364?\nAnswer: -15451362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from gemjr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a hour in minutes?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3177*w - 3054*w = 3813. Calculate the remainder when 71733 is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -142, -131, -120, -109?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 8*x**3 - 8*x**3 + 2*x**5 + (-2*x**5 + 5 - 5)*(-7 - 6 - 3).\nAnswer: 34*x**5 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.1, 18, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let o be l(6). Suppose 13 + 9 = o*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11271*d**2 + 0*d + 33 + 94 - 127 + d to the form z + b*d**2 + j*d and give b.\nAnswer: 11271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*a - 133. Suppose q + 69 = 3*r - 107, -r + a = -5*q. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01118451 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 981 + -980. Which is smaller: 401 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, u: 2, x: 1, b: 2, z: 1}. Give prob of sequence cxzb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 105, 65, -1, -99, -235, -415?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146034 divided by 4?\nAnswer: 73017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -476. Let u = y - 139. Let d = u - 159. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-400)\/24*(-36)\/(-10). Let s = -0.043261 + -0.356739. Sort 0.5, v, s in descending order.\nAnswer: 0.5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8042967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*p**3 + 2 + 2*p - 3*p**2 + 13*p**2 - 5*p**2 - 8*p**2 + 104*p**3 as m*p**3 + u*p + d*p**2 + t and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**3 + 2*t**2 - 19*t + 3. Let s(c) = 5*c**3 + c**2 - 9*c + 1. Let p(o) = -4*n(o) + 9*s(o). Calculate p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -223 - -241.3. Let i = 14.3 - p. What is the biggest value in 3, -2, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:18 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 - 124*k**2 + 696*k - 864 = 0.\nAnswer: -36, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > -14582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 + -108. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 + 1772*g\/3 - 191184.\nAnswer: 2*(g - 252)*(g + 1138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d**3 + 992*d**2 + 107*d - 124. Calculate m(-55).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-30))\/(((-297)\/45)\/11)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 - 183*j - 27. Calculate x(17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**3 - 3*j**2 + 352*j + 354. What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3779\/64201040 - 1\/25276. Let b = i - 114807\/10160. Find the common denominator of b and 1\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-668)\/(-2)*(-55)\/(-110). Let h = 197 - l. Let m = 68 - 44. What is the highest common factor of m and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Let c = 196\/447 + -47\/447. Let -2*z - c*z**2 - q = 0. What is z?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2960 divided by 3\nAnswer: -2960\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 209780791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 220344033 (base 5) to base 4\nAnswer: 3213322011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 + r + 3. Let z be j(-3). Suppose z*p = 2*p + 5*i + 6, i = -4*p + 24. Calculate the remainder when 19 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*m + 13 = 0, 0 = -5*i - 9*m + 13*m + 5. Let f be i\/(-18)*-3*(3 + 1). Sort f, 0, 1 in ascending order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541486154 - 34*r**2 + 541486154.\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 11}. Give prob of sequence rrf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8613*a*y**4 - a*y**3 - 16436*a - 57*y - 133 wrt y?\nAnswer: -34452*a*y**3 - 3*a*y**2 - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 3*n + 3. Let w be y(2). Suppose 4*k - 21 = -w. Let t = -1 + k. Calculate the lowest common multiple of 11 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -3. Suppose -10*c = -h*c - 12. Differentiate -3*w + c*w - 3*w - 2 + 0*w wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -610*y + 16. Let k be x(-6). Suppose w - 245 = 5*b + 686, 4*b = -4*w + k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 10. Let f be z(4). Suppose 0 = 3*i + 5*s + 3, 0 = -4*i - s + f - 1. Suppose 36 = x + i*u, 5 = -2*u + 3. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20 + 13*v**3 + 17*v - 12*v**3 + 60 - 20*v**2. Let t be s(19). Solve -4*f + t*f - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 9 + 34*n - 9)*(n + 0*n - 2*n) to a + l*n**3 + w*n + t*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, -0.7, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/480*1)\/((6\/8)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 (base 15) in base 3?\nAnswer: -210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 14 (c) 0.23 (d) 18148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from ypjyygjybbbcycb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 9. Let q be s(0). Let h(n) be the third derivative of -n**6\/120 - n**5\/15 + n**4\/2 - 2*n**3\/3 - 2*n**2 + 53. Is h(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 - -2)\/(-2). Suppose -2*p = -2*q - 2, -2*p + 7*p - 2*q = -1. Are l and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23488142 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1\/4 (c) 27 (d) -5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11421\/7 or 1631?\nAnswer: 1631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 26*q**2 + 73*q - 2. Calculate c(16).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 974, 959, 928, 875, 794, 679, 524?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 81 - (-11 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35323151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*y**4 + 1237577*y**3 - 279*y**2 + 15067*y?\nAnswer: 576*y + 7425462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15351.03054 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1503780550*u**4 + 348124*u + 413 wrt u.\nAnswer: -18045366600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Suppose 0 = -u*l - y - 27, -y + 3*y = -3*l - 24. What are the prime factors of -1 - -4 - (0 + l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -417, -607, -797?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5020 = -2*c + 6*c, 5*f - 6267 = -3*c. Let r = f - -1819. Round r to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409644 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 - 0) + (-51)\/(-17). Suppose -5*q + 22*o + 2441 = v*o, 0 = -2*q + 2*o + 986. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 4*f - 3*b, -408*b + 413*b - 87 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2) + (-6 - -6). Suppose -3*f - 3*u = t, 2*f - 2*u - 24 = 2*u. Let c = f + 0. What is the least common multiple of c and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162249180 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 52, -14 in ascending order.\nAnswer: -14, -2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16734173 (base 9) to base 14.\nAnswer: 118c064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:51 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let q(s) = s + 2*s - 6*s + 13 + c*s. Let w be q(8). Let f(l) = -l**2 + l + 1. Let r(b) = 6*b**2 - 6*b - 3. What is w*f(z) + r(z)?\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 57*d + 58*d - 4*d**2 + 1 + 4*d**4 - 2*d**3 in the form h*d**3 + f*d**2 + p + q*d**4 + c*d and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 13*v + 50. Let d be x(-6). Suppose 1674 = 2*c + 3*m, 7*m - 3348 = -4*c + d*m. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66649501574 minus -3?\nAnswer: 66649501577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = 11. Let q be 0 + 2*1 - 1. Let n = b + q. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + l + 1, -2*t = -3*l - 13. Suppose -a - 3 = 2*i, 0 + 2 = -t*a - 3*i. Suppose 3*c - 251 = -a*f, -49 - 36 = -c - 2*f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35019*p - 71474*p + 35601*p to the form d*p + m and give d.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 29647*m**2 - 118576*m - 118572.\nAnswer: -(m + 2)**2*(m + 29643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*s + 690 = 0, 4*s + 64 + 74 = u. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 2*z**7\/15 + 167*z**6\/15 + 1193*z**5\/5 - 4900*z**4\/3 + 5000*z**3\/3 + 156*z**2. Solve l(h) = 0 for h.\nAnswer: -25, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(2\/3)*i)\/i)*i**9)\/(i\/(i*i*i**(1\/4))*i*i*i**(-2)) assuming i is positive.\nAnswer: i**(127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let q(h) = 86*h - 33*h + 26 + 26*h + 38*h. Let z(x) = 39*x + 8. Let m(c) = 4*q(c) - 13*z(c). Give y(m(t)).\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2364060.0001?\nAnswer: -2364063.0001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b - 7. Suppose 0 = 4*m + 4*r - 12, 0*m = -m + 4*r + 13. Let q be d(m). Calculate the highest common factor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142, -136, -130, -124?\n\"Answer: 6*t - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 - -251. Suppose 225 = -m*y + 2025. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*x + 1398 + 726 + 1085 = 761 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 4. Suppose -y*n - 5*h = -2, 0*h = n + 4*h + 5. Solve -5*j - 19 = -j + k, k + 14 = -n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 + 26*t**2 - 21*t + 86. Calculate r(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*y**3*z**3 + 8*y**3*z**2 - 36*y**3 - 3185*y**2*z**3 - 11*y**2*z**2 + 3*y wrt y.\nAnswer: 276*z**3 + 48*z**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {y: 1, v: 5, u: 1, l: 1, c: 1, m: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3085, 24780, 83637, 198226, 387117, 668880?\n\"Answer: 3095*t**3 + 11*t**2 - 3*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 1145*c + 26788. Determine j(-404).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u**3 - 517953*u**2 + 143886*u + 57552 = 0 for u.\nAnswer: -9592, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 4*y - 4 = 0, -2*y = i + 14. Let h(f) = 18*f**2 - 12*f - 10. Let b(k) = -11*k**2 + 7*k + 5. Let w(t) = -5*b(t) - 3*h(t). Give w(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 3*n**2 + 3. Let v be i(-2). Suppose 0 = 9*x - v*x - 752. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17 + 11 - k - 26. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 26*m + 35)*(3*m + 0*m + 0*m)*(-3*m**2 + 0*m**2 + 2 + 2*m**2) in the form r*m + b*m**3 + w + g*m**4 + k*m**2 and give k.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**5 - 2*f**4 + 232*f**2 - 1202*f wrt f.\nAnswer: -240*f**3 - 24*f**2 + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -12*a + 124 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13883*y**2 - 3*y + 986?\nAnswer: 27766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let h(r) = 81*r + 54. Let d(c) = h(c) - 54*v(c). Calculate the remainder when d(1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27ac + e9b?\nAnswer: 3758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8*p - 25. Find the second derivative of -533*r**2 + 533*r**2 - 13*r + 7*r**p wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942864 is divided by 12952.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 5*i**4\/4 - i. Let o(d) = 2*d + 1391 - 2763 + 1372. What is k(o(a))?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*z + 13*z**2 - 5*z**2 - 5*z**2 + 968*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274\/1755 - 2810731\/1755. Let w = v - -1594. Which is bigger: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 888464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c5 - 3?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7*w - 3*w + 16, -2*w + 2 = 4*t. Let k be 2\/((-3 + 4)*t). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/240)\/(6\/(6*(-36)\/16)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*f**2 - 13 + 233*f**2 - 126*f**2 + 13.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*o - 2*o - 88, -2*o - 464 = 24*t + 7*o + 5*o for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 21 = -2*s, 3*s - 3*p - 39 = 8*s. Let t(w) = 26*w**3 - 23*w**2 + 20*w. Let u(b) = 9*b**3 - 8*b**2 + 7*b. Calculate s*t(g) + 17*u(g).\nAnswer: -3*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -939972, -939974, -939984, -940008, -940052, -940122?\nAnswer: -940224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 - (-3 + 3 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/5 - 23. Factor p(l).\nAnswer: -4*l**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedug. What is prob of sequence gu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(6\/(-7))\/(47\/(9870\/225)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(7*(-3)\/(-3)))\/(8\/(-16))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1)*-3*1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 66*s - 10072. Give x(145).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 6 = 5*t. Let j(a) = -10*a + 11. Let s(c) = c - 1. Let i(x) = -j(x) - 4*s(x). Let w(p) = p - 1. Determine t*i(b) + 14*w(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 1, e: 2, q: 1, o: 7, j: 2}. What is prob of picking 1 e, 1 q, and 1 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -7*r**4\/2 + 2*r. Let m be (-5)\/(30\/(-63)) - 30\/(-20). Let t(p) = 2*p + 8 - 31 + m + 11. Give z(t(c)).\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6. Let f be w(0). Let o = -67345\/22878 - 1\/1271. What is the common denominator of o and 1438\/(-440) - f\/(-33)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485857299 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.124 + -3.024. Which is the third smallest value? (a) 3\/8 (b) f (c) -0.2 (d) -26\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 26. Let b be r(-13). Suppose -12*m + 1526 + 1510 = b. What are the prime factors of m?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/(-8))\/(2\/8). Let b = -6 - m. Sort -2, 3, b in descending order.\nAnswer: b, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-8)*z))\/z*z)**(-39) assuming z is positive.\nAnswer: z**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 241851?\nAnswer: 241846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6730663268 and 1.09.\nAnswer: 0.4169336732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 26*a**2 - 27*a + 130. What is the lowest common multiple of c(6) and 140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from npnbnbhnpabnnnpbn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n = -4*b + 102*n - 24, -4*b + 5*n - 24 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -169, -210?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222103 (base 4) to base 14.\nAnswer: 269d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from eeeeeleeeeeeleleeeee.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451491231 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-74 + (-2911)\/(-71))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w + 10. Suppose 0 = -w*s - 20, -4*x - 4*s + 4 = -3*s. Solve -u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -29. Let q(l) be the second derivative of -l**4\/12 + l. Let r be q(0). Solve -a = 2*s + 2*b - 0*b, -5*s + 2*b - 22 = r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4\/70671 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7962777 and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*d + 4037 - 4076 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*n**2 - 4*n**2 + 272 - 294*n + 285*n wrt n?\nAnswer: -32*n - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503 (base 6) to base 2.\nAnswer: -10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -36*r - 3. Is 23 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/2340*-130)\/(30\/12*(-2)\/(-238)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 40. Suppose 2*h = 2*o - 24, 3*o - 5*h - 20 = f. Let u = o + -8. Solve 5*j = -4*c - 9, u = -5*c - 0*c - 3*j + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**7\/7 + 1486*d**5\/5 + d**4\/4 - d**3\/3 - 4103*d - 15408. What is the third derivative of q(l) wrt l?\nAnswer: -240*l**3 + 35664*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -147404.5.\nAnswer: -147407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13311 + 12012?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(1539) + sqrt(1539) + (1 + sqrt(1539))*-6 - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 0)*3))) + 5 + 5)**2.\nAnswer: -324*sqrt(19) + 27720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 17*w**2 + 30*w - 14. Let r be q(-14). Let u = r + -154. Solve 5*i + u*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2 + 5) + 11 + -1. Suppose y*w = 88 + 137. Suppose 2*a = w - 5. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + w - 6. Calculate s(5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, -143.\nAnswer: -143, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(76) - sqrt(19))**2 + sqrt(475)*1 - 2*((sqrt(133) + -2*sqrt(133))\/sqrt(7) + 2).\nAnswer: -sqrt(19) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 20*w**7\/21 - w**6\/60 - 173*w**5\/20 + 19*w**2 + 4. What is the third derivative of k(v) wrt v?\nAnswer: 4800*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {y: 3, s: 2, l: 6, u: 2, a: 3, t: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2973 times 1?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3476671\/140 + -124182\/5. Calculate the common denominator of 1\/((-128)\/(-134)) - 0 and l.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46448 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/12, 22\/17, -1?\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - ((sqrt(180) - 3*sqrt(180)) + sqrt(180))\/sqrt(4))\/(sqrt(1089)*2 - sqrt(9)).\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12318 - -31598. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113260+812.7\nAnswer: -112447.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1\/20*m**5 + 0 - 1\/30*m**6 + 0*m**2 - m + 0*m**3 + 0*m**4. Find w, given that v(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:51 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/((-1)\/3). Let o = -4 - w. Let u be (-6)\/(27\/(-12) - o). What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1750*z + 2967*z + 2263*z.\nAnswer: 3480*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 24*b - 70 + 70 to k*b + y and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 217*r**3 - 49*r - 49. Suppose 4*u - 14 = d, -d + 7 = 2*u + u. Let n = -34717 + 34668. Let s(j) = -9*j**3 + 2*j + 2. Calculate d*z(h) + n*s(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*g + 15 = 0, g - 28 = -5*d - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -23*x**4\/24 + x**3\/6 + 213*x**2. Determine q(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 3 + sqrt(1053))*-6.\nAnswer: -108*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-12) - 24\/(-18))*174*(-480)\/11600.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2479 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362808263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11093*j. Let h(z) = -30*z. Calculate n(h(r)).\nAnswer: 332790*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/7 - 117*i**3\/7 - 810*i**2\/7 = 0 for i.\nAnswer: -30, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 100*n - 71. Is g(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 38.09323ns?\nAnswer: 0.00003809323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 1:05 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 9. Suppose 0 = 3*i + 3*i + u. Let r(o) = 6*o - 5. Let m(j) = 5*j**2 - j - 1. Let q be m(-1). Let v(h) = h - 1. Calculate i*r(y) + q*v(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 35*b**2 + 78*b + 33. What is the remainder when t(-14) is divided by 313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 + 8076*s**2 + 16138*s - 24216 = 0. What is s?\nAnswer: -4036, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-10))\/(2\/5). Suppose -2783 = -y*g + 2971. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24012 and 34684.\nAnswer: 312156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x + 1. Let y be w(1). Suppose -z + 42 = -3*z. Let m be -7 - -8 - (-22)\/z. Are y and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*g - 117*g - 101*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 + -301. Suppose -o = -4*f - f - 1127, -p*o = f - 3317. What are the prime factors of o?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4767)\/454*20\/24)\/((-2)\/(-8)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*j, -u = -3*u - 3*j - 4. Let n = 37 - 35. Suppose n*m = u*a + 4, 2*a = 6*a. Solve -m*d - 10 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/252 + x**6\/360 + x**5\/30 + 3*x**2. Let j(a) be the third derivative of y(a). What is the tens digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.34 + -37. Let r = j + 21.86. Let h = r - 21. Which is the second smallest value? (a) h (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:28 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 + 211 - 464)*(11*u + u**3 - 11*u).\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1333 - -1338. Solve y*c - 2 = 2*z, -2*c = c + 5*z - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 23 - (0 + 0). Suppose 5*t = -3*j - 86, 3*t = -4*j - t - 104. Let i be (-62)\/j + (-2)\/(-11). Solve 5*f + 3*y - q = i*f, -f = -y + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148254 is divided by 706.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.98 - 41.78. Round r to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 13.973.\nAnswer: -153.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220974459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3087, 24703, 83373, 197625, 385987, 666987, 1059153?\nAnswer: 1581013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 2, 1, -40 in increasing order.\nAnswer: -40, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49353302 is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/16 and 29\/26120?\nAnswer: 52240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {m: 3, j: 2, q: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 + 1570*v**4\/3 + 135896*v**3 + 35087624*v**2\/3 + 34681504*v\/3 = 0. Calculate v.\nAnswer: -286, -212, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from {v: 2, u: 4, i: 4, g: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141841 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x + 2. Is d(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**4. Let q(p) = -710*p**4 - 26*p**2. Let n(g) = -q(g) - 4*y(g). Find the third derivative of n(h) wrt h.\nAnswer: 16944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -6, 70, 224, 480?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-304)\/24 - -7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 18 - 4 = 0. Suppose 3*o = 3*z - 45, w*z + 6*o - 34 = 4*o. Solve 2*t + z = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-13))\/(g\/(g*g**(1\/5))))\/(g**19\/(g*g**(-2\/7))) assuming g is positive.\nAnswer: g**(-1053\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/145676 and -101\/10.\nAnswer: 728380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -22. Suppose 0 = h*y + 243 - 39. Let b = -49 - y. What is the highest common factor of b and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jpbpa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/220769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1134 * -13.6.\nAnswer: -15422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1113013 (base 4) to base 3\nAnswer: 21122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 1. Let t be o(1). Let c(b) = t - 4 + 2*b + 4. Let l be (-256)\/320 + 2\/(-10)*16. What is c(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2\/2 - 33*x - 656 = 0.\nAnswer: -16, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + p**2 - p. Let k be w(1). Is 1142\/4*k\/(-3)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:20 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5652, 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.386 + -10.486. What is the third biggest value in 4\/7, v, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7432 and 56008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - m = 11 - 0, 0 = r - 3*m - 1. Solve -d - 23 = 5*v, 0*d = r*v + 2*d + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227*a**2*z**4 - 2*a**2*z**2 + 71*a**2*z + 2*a**2 - 7*a*z wrt z.\nAnswer: -2724*a**2*z**2 - 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -20.72?\nAnswer: -41.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1903*r**3 + 2*r**2 + 904*r + 10. Let c(l) = 1900*l**3 - 2*l**2 - 907*l - 8. Let f(t) = -5*c(t) - 4*q(t). Find the third derivative of f(w) wrt w.\nAnswer: -11328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 298, 266, 212, 130, 14, -142?\n\"Answer: -y**3 - 5*y**2 - 10*y + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1078104*v**3 - 2149168 wrt v?\nAnswer: 3234312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*a + 40. Suppose 3*b = 261 + 318. Let i = b - 137. Calculate the greatest common divisor of a and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 0*w**2 + 259697*w - 259697*w + 82 - 2*w**2 as m*w**2 + g*w + q + v*w**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (4 - (10 + -2)). Suppose k*i + 53500 = -5*v, -3*v + 13390 = -4*i + 45490. What is v rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 81*l**3 - 1713*l**2 - 20304*l + 354240 = 0.\nAnswer: -15, 328\/27, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 89 - 142)*(-10*w**3 + 10*w**3 + 8*w**4).\nAnswer: -1784*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -470, -1061, -1888?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -13*o**7\/42 - 7*o**3\/2 + 47*o**2 - 2. Find the first derivative of i(s) wrt s.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 828\/(-1932)*7*29*1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1972134 - 145734. What is r rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 5. Suppose 5*o - 2*o = -16*o. Suppose o = 6*t - 30*t - 240. Let w(n) = -4*n + 3. What is t*w(u) - 6*y(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*-10*(-16)\/(-1120).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12173\/5 + -2447. Let q = -29585 - -1627209\/55. Find the common denominator of v and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2203335, 8813329, 19829987, 35253309?\n\"Answer: 2203332*j**2 - 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113456 to six decimal places.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-28)\/34) + 12\/(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 w when three letters picked without replacement from fjwjzsjwfwwwzwwsw?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 267.5894 or 0.1?\nAnswer: 267.5894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4. Let m(u) = 2*u**2 - 20*u + 23. Give -6*a(s) + m(s).\nAnswer: 2*s**2 - 20*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*j - 38*j - 1 + j**2 + 10*j + (0 + 0 + j)*(1 - 1 + j) - 822 + 822 - 12*j**2.\nAnswer: -10*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i**(-4\/9))**(-19\/5) assuming i is positive.\nAnswer: i**(-361\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1996*h - 1990*h - 36. What is the first derivative of 30 + 18 + 240*m**2 - h wrt m?\nAnswer: 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + b - 3*b. Let d(r) = -r - 3. Suppose i = -3*i + 12. Let z(l) = 2*l + 5. Let w(a) = i*z(a) + 5*d(a). Calculate p(w(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + 0 + 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:43 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 + 11*i**3\/6 + i**2 - i + 2721. Suppose -2*n = -8, -h + 5*n = 2*n + 20. Determine q(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + (1 - 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 85158325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)\/h**13)\/(h**(5\/8)*h*h\/h**(-2\/15)) assuming h is positive.\nAnswer: h**(-2131\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 11*g - 12. Let s(i) = -20*i**2 + 33*i + 35. Let l(b) = -17*h(b) - 6*s(b). Determine l(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 31.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 128, 108, 70, 8, -84, -212, -382?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906 divided by 11558.\nAnswer: -453\/5779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r + 48. Let a be n(-6). Solve 5 + a = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = -2*s, -4*o + 8 = -3*s - 14. Let v = o - 0. Suppose 31 = 4*u + v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v - 3*v + v)*(0*v - v**3 + 0*v) + (-2*v**2 + v - v)*(-71*v**2 - 54*v**2 + 78*v**2) to s*v + w*v**3 + y*v**2 + c + f*v**4 and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (5\/15)\/((-5)\/90). Let o(c) be the first derivative of 7*c + 0*c**2 - 7\/4*c**4 + d*c**3 - 7. Differentiate o(b) with respect to b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*y + 4 - 676*y - 3 + 0.\nAnswer: -1762*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*t - 2 + (2*t + 0*t + 0*t + (1 + 3 - 6)*(-3*t + 0*t + 2*t) + t + 0*t + 0*t)*(-2 + 3 - 4).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 + 7*u**4\/24 + 4*u**3\/3 - 44*u**2. Calculate the smallest common multiple of d(0) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/7 - 930*i**2\/7 - 32064*i\/7 - 262656\/7 = 0 for i.\nAnswer: -16, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4850776 greater than -4850776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2351 (base 7) to base 5\nAnswer: 11434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 12. Suppose 10 = 4*p + 3*j, 0 = -2*p - 0*p - w*j. Suppose d + p - 10 = 0. Solve 5*f + 2*u = -0*f - 13, 2*f - 2*u - d = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 6542\/197?\nAnswer: 6542\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 470*c + 1455 = 0. Calculate c.\nAnswer: -3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uappppgpppygpuru.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 + (-1)\/4. Let o = -47 + 47. Does r = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1114, 1080, 1052, 1054, 1110, 1244, 1480?\nAnswer: 1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 23 = 3. Let a(c) = c - 2 + y*c - 9*c. Calculate a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15360*m**2 - 31741*m?\nAnswer: 30720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + -10 + 16 + -3 + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4684561857 - 4684561888.10000129. Let x = 31.1 + p. What is x rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4291\/10 + -427. Calculate the common denominator of v and (2\/(-8))\/(4\/120*9\/57).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 3)*(-6)\/3. Let y(i) be the first derivative of -i**4\/4 - 7*i**3\/3 - 4*i**2 + 5*i - 31. Calculate the remainder when 30 is divided by y(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**7\/1260 - n**6\/270 + 4*n**3\/3 - 3*n. Let d(x) be the second derivative of r(x). Factor d(a).\nAnswer: -2*a**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 b when four letters picked without replacement from {g: 5, n: 2, h: 3, b: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Let l = 3.2 + d. Let f(c) = 3*c**3 - c. Let s be f(1). What is the second biggest value in s, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155806 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (0 - 0)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.2958059 hours in weeks?\nAnswer: 0.1148559875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -7 - -3*10\/(-15). Let n be (t + -3)*6\/(-4). Suppose -5*x = -4*k - 1859, -4*x + n*x - 3*k + 387 = 0. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22546, 22561, 22576?\nAnswer: 22591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/2 + 96*i**2 - 4608*i = 0. What is i?\nAnswer: 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/35 and -31\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -35 (c) 4809770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(20456 - 54322 - 58442 - 2806 - 29572 + 17873).\nAnswer: 213626*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -6*w + 10. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4325 - -5681. What is the second smallest value in x, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*f**4 + 12408*f**3 - 2134172*f**2 - 1426920*f - 238050 = 0. What is f?\nAnswer: -1\/3, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41537248392.3816 + -4\nAnswer: -41537248396.3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6680 * -0.641\nAnswer: 4281.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 51585*m. Let g(a) = -6*a**2. Calculate g(s(l)).\nAnswer: -15966073350*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 2, e: 1, r: 8, c: 2}. Give prob of picking 1 e, 1 z, and 1 c.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/30 + 7*q**4\/24 - 2*q**3\/3 + q**2 - 3*q. Differentiate n(f) with respect to f.\nAnswer: 4*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 10*d - 22. Determine z(11).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {k: 1, r: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 109320 rounded to the nearest 1000?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = 2*o, -4 = -4*o + 5*o. Let u(q) = -8*q**3 - 10*q + 12. Let m(z) = -1 + 1 + 1 - z - z**3. Determine a*u(k) - 10*m(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 283 - -864?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*a**6 + 8*a**3 - 185*a**2 + 1 wrt a?\nAnswer: 3360*a**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 348.3011mm to micrometers.\nAnswer: 348301.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z + 16. Let t(r) = 1. Calculate -6*t(h) + w(h).\nAnswer: -2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/11634 and 113\/112.\nAnswer: 93072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3872*q**4 - 4048*q**3 + 2638*q**2 + 1932*q - 882.\nAnswer: -2*(q + 1)**2*(44*q - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 0*d**3 - 370 + 3*d**3 + 367.\nAnswer: 7*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 21*m - 17*m. Let h(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 - i - 1. Let u(j) = -2*j - 1 + j**2 + 2*j. What is m*h(d) - u(d)?\nAnswer: -d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 7. Let v = t + 73. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 96 - 1576. Suppose -x = -r - 2*c, -13*r - 3*c = -9*r - 750. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235378 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -99*k**4 + 2312*k - 21*k**5 - 4600*k - 117*k**3 - 21*k**2 + 2306*k = 0. Calculate k.\nAnswer: -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-290)\/(-1596) - ((-4)\/1)\/28 and 37\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (13 - (-1 + 2)). Let u(w) = -w - 8. Let h be u(d). Calculate the remainder when 35 is divided by -30*(-1)\/(5\/h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 9*j + 3. Let c be g(9). Suppose 0 = -c*o + 7*o - 32. What is the second derivative of 5*b - o*b**2 - 4*b**3 - b**3 + 8*b**2 wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25381361811 rounded to six decimal places?\nAnswer: 0.253814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*z**3 + 38*z**3 + 25*z**4 + 35*z**3)*(4 - 2 - 3).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**3\/3 + 7*h**2\/2 + 7*h. What is the derivative of c(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1426 - 1430. Put 0.4, -1, q, 33 in decreasing order.\nAnswer: 33, 0.4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4152 and 6920.\nAnswer: 20760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 - 2*g. Let c be s(-1). Let r(y) = -3*y**2 - y - 1. Determine r(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/30 and (-530)\/585*(-3)\/12*6?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*n - 126*n + 70*n + 417*n.\nAnswer: 1531*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -3\/4*f**2 - 7*f + 0 + 1\/16*f**4 - 1\/8*f**3. Factor a(i).\nAnswer: 3*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + -1021011301102?\nAnswer: -1021011300320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(1 + 3 - 5)*(-2 - 3 + 3)*(2*y - 6*y + 7*y**2 - 11*y**2).\nAnswer: -8*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 13*o**6\/120 + o**3\/3 + o**2\/2 + 117*o. Let p(i) be the second derivative of x(i). Let c(f) = 2*f. Determine p(c(r)).\nAnswer: 156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52096461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 + 2*j + 13. Let s(n) = -10*n**2 + 3*n + 19. Let a(z) = -5*s(z) + 7*y(z). Let t = 18 - -2. Let k = t - 17. Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394951203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 26*c + 49 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-929 + 957 - (-1 - -31))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or -7.50583?\nAnswer: -7.50583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 6 - 1)*(n - 4*n + 0*n) as p + h*n and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**1))**(-42))**43*o*(o\/(o\/(o\/(o\/(((o*(o*o\/(o**(-1\/6)*o)*o)\/o)\/o)\/o)*o))))\/o*o**1*(o\/(o*o**(1\/3)))**44 assuming o is positive.\nAnswer: o**(-3641\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 729676, 1459295, 2188914, 2918533?\n\"Answer: 729619*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1253480 - 689089. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(95) + sqrt(95))*-4)\/(-2*sqrt(320)))**2 + -1 + -2 + (sqrt(304) + -2)**2.\nAnswer: -16*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 7*n + 12. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 40. Let y be f\/(-7) + (-4)\/14. Let a = 0.30594 + 0.69406. Which is bigger: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.6, -9\/22, 0.3, 0?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2 + 1 + 4*j + 4. Does 7 divide s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:10 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5537.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121\/344 - -1\/43. Suppose -4*i - 6*s + 4*s = -10, -25 = i - 5*s. Put i, 0.1, -5, z in ascending order.\nAnswer: -5, i, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*d - 46*d + 54. Calculate the greatest common divisor of d and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 2, b: 1, j: 1, g: 3, t: 7, m: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161.83 - 3006.93. What is m rounded to the nearest 10?\nAnswer: -2850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -61 - 26\/57*n**3 - 7\/19*n**2 + 12\/19*n. Factor q(v).\nAnswer: -2*(v + 1)*(13*v - 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 44452 = -12*d - 142*d - 33356 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -557, -548, -533, -512, -485?\n\"Answer: 3*o**2 - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-42) + (-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1722, -0.611, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*l**3 + 2*h*l**2 - 10*h*l - 3425*l**3 - 3954 wrt l.\nAnswer: 18*h*l + 4*h - 20550*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12 - 10*r + 16*r + 5 - 9*r. Let o(i) = -i + 6. What is -4*n(z) + 11*o(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-27 - 1 - 23940\/(-735))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2*(-10)\/6. Let d be 5*(-6)\/(-10) - 4 - -3. Suppose 3*f = 4*y - 11, 2*y + d*f + 6 = 4*y. What is the highest common divisor of y and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5236 by -2.\nAnswer: -2618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 27 = -2*n. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/9 and -131\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from ajjjiijajjjj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 245.55648s?\nAnswer: 4.092608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -37\/6. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, -54, -119, -254, -483, -830, -1319, -1974?\n\"Answer: -4*v**3 + v**2 + 6*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002310010231 + -10?\nAnswer: 2002310010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6309501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 3*d + 6*d)*(-137 + 71 - 38) as h + y*d and give y.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y + h, 5*y - 2*h = 3 + 11. What is the smallest common multiple of (-124)\/(-12) + 2 - 1\/3 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 3. Let i(j) = -9*j + 25. Give 6*i(o) - 51*u(o).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(280)\/(1*sqrt(10)) + -5*-2*sqrt(28).\nAnswer: 5 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**14\/f*f))\/f*f*f*f**(2\/25)\/f)\/(f\/(((f*f*f*f*(f*f*f**(-11))\/f*f*f)\/f)\/f))**(-50))**28 assuming f is positive.\nAnswer: f**(235956\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*t + 7*t. What is the derivative of -2 - 4 - 7 + t*u**3 wrt u?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29414*i**2*v - 185*i**2 - 139081*v + 10 wrt i?\nAnswer: 58828*i*v - 370*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4748?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 267 + 292 = 0. Solve l*w = -4*t - 19, 4*w + 5*t + 20 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25445029 to the power of 1\/2, to the nearest integer?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*i**3 + 10*i**3 - 17*i**3 - 4 - i**3 + 4 + (-i + 3 - 3)*(2*i - 2*i + 2*i**2) as o*i + q + l*i**3 + c*i**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/69370 and -29\/65624020.\nAnswer: 65624020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -520*a**3\/3 - 1325. Let x(q) = -2*q. Give b(x(p)).\nAnswer: -2080*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*h - 832, 3*h + 283 - 1107 = -2*y. Suppose -5*t = 252 - h. Let u(q) = 4*q + 5. Give u(t).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2\/51, 1 in increasing order.\nAnswer: -28, 2\/51, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 440\/62539 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -280*l**2 + 16*l - 16. Let a(n) = 89*n**2 - 5*n + 5. Give 10*a(o) + 3*t(o).\nAnswer: 50*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-157*(-1)\/(-78) + (-4033 - -4035))*-9?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbgv. Give prob of sequence cg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s\/(s\/((((s*s**(-1\/6))\/s)\/s)\/s)))\/(s\/s**(-9))*(s**(1\/24)*s*s)\/(s*s\/(s\/s**(2\/7))))**(-2\/27) assuming s is positive.\nAnswer: s**(157\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((275\/(-20))\/11)\/((-6)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157 and 1256.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 24*f**3 + 27*f**2.\nAnswer: -3*f**2*(f - 9)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.038? (a) 0.3 (b) 1 (c) -2\/7 (d) -142.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -6 + 39. Suppose -25 = 3*j + y. What are the prime factors of 4\/7*(-546)\/j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001001 (base 2) to base 4.\nAnswer: -32021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/6709?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 71. Suppose j*f - 12*f = 160. Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143.86 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 4. Let o be x(-2). Suppose -d + o*d + 4 = 0. Solve -d*j = 2 - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 20.7. Let f = -30.3 + i. Let o = -28.8 - f. What is o rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**2 + 2*l - 4\/3.\nAnswer: -2*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073841 is divided by 395.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 + 4*a - 71. Let p(l) = 2*l**3 - 2*l + 35. Give -4*i(f) - 7*p(f).\nAnswer: 2*f**3 - 2*f + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11591370403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = f - 5*f - 2*a, -4 = -2*f + 2*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118994476*y + 46651769 with respect to y.\nAnswer: 118994476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 14*z + 2. Let s be h(14). Suppose p - 10 = -s*f, -3*f = 3*p - 21 - 9. What is the remainder when 38 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*m**2 + 732*m**2 - m - 2612*m**2 + 406*m**2 + 0*m + 738*m**2.\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 10*m - 12. Let o be t(-10). Let s = o - -22. Suppose -30 = -2*p + s. Solve -2*l - 3*c - 3 = 0, 5*l - 6*c = -c - p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/((-63)\/(-12)))\/2. What is the smallest value in 0, m, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30886183 rounded to the nearest 100000?\nAnswer: 30900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:46 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -2\/6865, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 384, 3, -2\/7, 2 in decreasing order.\nAnswer: 384, 3, 2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 535588 (base 9) to base 8\nAnswer: 1157122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c**2 + 14*c + 1. Suppose 0 = 7*q - 14*q. Suppose -4*t + 3*r = 9, q = 3*t - 0*t - 2*r + 7. What are the prime factors of p(t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/81 and 1\/1930932.\nAnswer: 5792796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 1. Let l(m) = -21*m**2 - m + 3. Suppose -4*o - j - 9 = 0, -69*o + 65*o + 5*j - 27 = 0. Calculate o*i(y) + l(y).\nAnswer: -18*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:03 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664563*q**4 + 3*q**3 + 73993199*q**2?\nAnswer: -15949512*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 1.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3*w - 4*f**2*w - 978*f*w + 3*f wrt f?\nAnswer: -84*f*w - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 + z**4\/6 + 5*z**3\/6 + 4*z**2. Let b be i(-4). Solve 0*f = -b*f + 5*t - 15, -2*f + t - 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*z + 6, 5*l - 4*z + 39 = -47. Let u be (1 - l)*21\/35. Let q(t) = -t**2 - 8*t - 4. Let k be q(-7). What is the greatest common factor of k and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 4*k + 22 = 17*h - 10*k, 5*h - k = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 6 + (-3038)\/682?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386 divided by -14.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 168147684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 21*n + 64. Calculate i(-19).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -48*h**2 + 8*h - 6. Let d be u(-20). Is (-1)\/6 - d*5\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 592*b - 7. Let p(r) = 1735*r. Determine p(z(q)).\nAnswer: 1027120*q - 12145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -2.5 (c) 9\/103 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 39. Suppose -o = r, -179 + 30 = -c + 2*r. Is 147 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/180*35\/6 and 89\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2\/2 + 2*j - 2. What is the tens digit of c(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 > 574\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*f - 5*v + 51, v - 15 = -2*f. Calculate the remainder when 8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 546 = 2*p, 0 = 2*q - 7*p + 2*p - 261. Suppose 14*f - 16 = q. Suppose 5*h + f = 3*a, -4 + 0 = -2*h - 3*a. Is -7\/10 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-45)*96*(-2)\/(-8)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13404*l**3 + 902*l.\nAnswer: -80424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298\/3 + -98. Let k = 3 + -8. Which is the third smallest value? (a) k (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, 5, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baja when four letters picked without replacement from babjb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145122*i**2 - 72549*i**2 - 72570*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.2, 29, 41\/4, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.103 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.93 + -0.07. Let l = j - 37. Let p = -40.99895 - l. Round p to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-28) + 11\/(-4). Let j = f + 5. Let d(p) = -p**j - 4*p**2 + 2*p**2 + p**2. Let k(m) = 2*m**2. Calculate d(k(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*v + 111*v + 107*v + 7 as g + m*v and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 5*h**8\/336 - h**6\/30 - 14*h**5\/3 - h**4\/24 + 222*h**2 - 2*h. Find the third derivative of i(o) wrt o.\nAnswer: 300*o**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1673623700 to the nearest one million.\nAnswer: -1674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 12. Let d(r) = r**3 + 15*r**2 + 3*r + 1. Let w(l) = 2*l**3 + 16*l**2 + 5*l - 2. Let q(n) = -3*d(n) + 2*w(n). Determine q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3823683, 7647372, 11471061, 15294750?\nAnswer: 19118439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 23, -722 in increasing order.\nAnswer: -722, 23, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2)\/(-3) + 1. Let x(d) = 4*d + o*d + 0*d - 4*d. Let t(b) = b**2. Determine x(t(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 1035, 2489, 4523, 7137, 10331?\nAnswer: 14105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49139.46, 2\/7, 0.2, -4 in decreasing order.\nAnswer: 2\/7, 0.2, -4, -49139.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842618 is divided by 519?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -116592912.\nAnswer: -1\/116592912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2063*m + 4137. Determine c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + -3*-5*sqrt(3) + -2 + sqrt(15)\/(sqrt(35)\/sqrt(7))).\nAnswer: -64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s + (1 - 1 - 2*s)*(-3 + 3 - 3))*(-2*s + s + 2*s)*(-1 - 1 + 0).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let w = a + 4. Find the third derivative of 4*t**3 + 0*t**w + 0*t**3 + 4*t**2 wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 29 = -n + 4*l + 8*l, 4*n + 0*n = 54*l - 206 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(123\/6 - 1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7870 + -7863. Solve -5*d - 5*s = 25, -2*s + g = 5*d + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045638 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -828*d**3 - 3*d**2 - 8*d - 51*d - 4*d**2 + 59*d to p*d**3 + u + b*d + f*d**2 and give p.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 107, 114, 135, 176, 243, 342?\n\"Answer: a**3 + a**2 - 3*a + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5 - 3. Let z(h) = h + 1 - h**2 + 4 - k. Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2 + 2 - 4*p**4 - 58*p - 2*p**4 + 41*p wrt p?\nAnswer: -72*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 o when three letters picked without replacement from {f: 2, u: 1, a: 5, y: 1, o: 1, t: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(432) + 0 - sqrt(432))**2 + sqrt(432)*2*-4).\nAnswer: -480*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 n, and 1 b when four letters picked without replacement from ihbihthibn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 20.86334t?\nAnswer: 20863340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*z**3 - 2054*z**3 + z**2 - 5123*z**3 + 235*z**3.\nAnswer: -7134*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*l - 38*l - 31*l**3 + 5*l**3 - 22*l.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - 2*u**2 - 2*u + 1. Let h be t(2). Let p(x) = x**3 - 4*x**2 - 2*x - 5. Let a be p(h). Calculate the greatest common factor of 50 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 73. Let -2\/5*v**2 - 4\/5*v + m = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1658218 and 56?\nAnswer: 46430104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.182 less than 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324490308*n - 393120793 wrt n?\nAnswer: 324490308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -57\/2. Let v(g) = -g**3 + 6*g**2 - 5*g - 4. Let j be v(4). Let t be ((-2)\/j)\/((-3)\/(-4)). Which is the closest to 0.1? (a) -2\/3 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*b**3*u**3*y - 14*b**3*u*y + 150*b**2*u**3*y + b**2*u*y - 3*b*u**3*y wrt b.\nAnswer: -1602*u**3*y - 84*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697301*w + 4*w**2 - 348654*w - 348652*w.\nAnswer: 4*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6425 - 899. What are the prime factors of z?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6930)\/(-75))\/(14\/35). Is c < 232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 31?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 + 1 + (1 + sqrt(288))*6 + -1*(1 + sqrt(288)) + 5)**2.\nAnswer: 792*sqrt(2) + 2713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/13 (b) -0.3 (c) -0.4 (d) 4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 31 - 16 = 0. Suppose k = b - 0. What is the second derivative of -3*p - 17*p**k + 42*p**4 - 42*p**4 wrt p?\nAnswer: -340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, -0.5, -3, -48, 145?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 64359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -10\/3. Let h = -380\/7 - -1914\/35. Is h at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 250*n**3 + 10*n**2 - 27*n + 12. What are the prime factors of u(3)?\nAnswer: 3, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2509*y - 265956. Determine n(106).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q**4 + 26*q**2 + 3. Let z(c) = 23*c**4 + 27*c**2 + 2. Let w(f) = 2*l(f) - 3*z(f). Find the third derivative of w(r) wrt r.\nAnswer: -504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57732 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6605*q - 2301. What is the units digit of p(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6937809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519355350 to the nearest integer?\nAnswer: 22789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13712308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6708568.\nAnswer: 2, 838571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 2, x: 2, e: 1, n: 3, a: 3}. Give prob of sequence enx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/20 and -67\/1668.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202680 = -4*y + 2*r, -6*r - 101330 = 2*y - 4*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1190\/6 - (-3)\/(-9). Let a = -29 - -36. Suppose -4*y + 3*o = -82, a*y - 5*o = 3*y + 78. What is the highest common factor of u and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24804 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:09 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1284*t**3 - 19*t**2 + 43.\nAnswer: 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 1983 = -135*s - 219 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369 a factor of 201659669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, -2\/1987, 1\/3 in decreasing order.\nAnswer: 1\/3, -2\/1987, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 10, -4, 3 in descending order.\nAnswer: 10, 9, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:00 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/547 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -500600, -500636, -500672, -500708?\n\"Answer: -36*z - 500564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -5*q**3\/3 + 19*q**2 - 22*q. What is the remainder when 22 is divided by w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29722)\/53075)\/(2\/100).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 15*g - 12*g, 0 = -v + 2*g + 3. Solve 5*s - 19 = -v*r, -3*r = -4*s + 10 + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.567 - 0.207. Let s = 1.36 - j. Which is the second biggest value? (a) s (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m = 32 + 35 - 20. Let i be 1\/2 - (-342)\/(-156). Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 5. Let v be u(1). Which is the third smallest value? (a) -7 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8516905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1018*t + 285. Suppose 42*u - 34 = 37*u + f, -u = 5*f - 12. Is l(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42395 is divided by 3771?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (11 + -12) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -67557142?\nAnswer: -67557141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 254, 653, 1196, 1883?\n\"Answer: 72*v**2 + 183*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(90))\/sqrt(10) - (1*sqrt(81))\/sqrt(9))\/(3*(sqrt(24)\/sqrt(8) + sqrt(3))*-2).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -4*l + 301. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:10 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416000 divided by 2950?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-57 + 57 + 5*n) + 1 + 3*n - 1)*(4 + 5*n**2 - 4).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, w: 3, r: 2, j: 2, i: 4}. What is prob of sequence wjrr?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 5*a. Solve a = 5*u + 2*t - 1, -4*u - 3*t = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13422 and 1710?\nAnswer: 3825270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.99 + -13. Let p = 65.01 + b. Let t = 67 - p. Sort 4\/5, -0.4, t in descending order.\nAnswer: t, 4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 5*c - 4*c)*(3*c**4 - 6*c**4 + 2*c**4) + c - 2*c**5 - 2*c**5 + 0*c.\nAnswer: -3*c**5 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 + 10*t - 4. Let q be l(0). Suppose -q = -4*c - 2. Solve a = c*k + 2, 4*k - 2*a + 4 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 29*m**2 - 61*m - 31. Let k be w(31). Put k, -19, 3, 2 in decreasing order.\nAnswer: 3, 2, k, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/42563 or 1?\nAnswer: 16\/42563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3406, -3407, -3408, -3409, -3410?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:50 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 2 = 0. Suppose d*b = b + 5. Solve -b*u = -38 + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*i*n**3 + 3588*i*n**2 + 62*i*n + 1090*i - 3*n + 1 wrt n.\nAnswer: 402*i*n + 7176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 3, h: 4, a: 1, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 47 - 56. Let z(q) be the first derivative of 7 + 0*q**5 - 5\/6*q**6 + 0*q + 7\/3*q**c + 0*q**2 + 0*q**4. Find the third derivative of z(v) wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 2 + 3 + 0*y - 3*y. Let z be h(-1). Solve 2*r = -r - z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -0.2 (b) 183 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-3)*(-23)\/460 - 4\/(-12). Sort -0.1, 2\/11, q, -0.094.\nAnswer: q, -0.1, -0.094, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 1\/6 (c) -0.5 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103177793 + 0.07904.\nAnswer: 103177793.07904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22695217 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1985 - 1231 = -z + 3*q, 3*q + 12864 = 4*z. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.44585 to one decimal place.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2753, 2154, 1155, -244?\n\"Answer: -200*g**2 + g + 2952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 69 = -4*w. Let q be 0\/(-1) + 2 + 22. What is the remainder when w is divided by (2 + q\/(-10))*-30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = 3*z, 0 = -3*s - z + 5. Let k(t) be the third derivative of 1\/8*t**3 + 0*t**4 + 0 - 1\/80*t**5 - 2*t**s + 0*t. Suppose k(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/60 - 19*s**3\/6 - 4*s**2. Let d be k(13). Let o = -34 - d. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148378140*b**2*g**3 - 6*b**2*g - 2503*b + 299*g wrt g?\nAnswer: -890268840*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, s: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9780 and 15.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82930 is divided by 11764?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 755 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-266)\/(-798) + (-110732)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + (sqrt(208) + 2)*-4*3 + 2)**2.\nAnswer: 2016*sqrt(13) + 30393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*x + 4, 0 = 6*x - 76*d + 71*d + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -5.0104917.\nAnswer: 5.2104917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**(4\/3)*(m**(-18)*m*m)\/(((m*m*(m*m**(2\/75)*m)\/m)\/m)\/m*m))**(-44) assuming m is positive.\nAnswer: m**(55688\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + -6159700.\nAnswer: -6159699.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let r(n) = 2*n - 1513. Determine z(r(h)).\nAnswer: -8*h + 6052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45871762 to the nearest integer?\nAnswer: 6773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/((46\/138)\/((-4)\/16))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -285 + 287. Which is the biggest value? (a) -5 (b) -1\/5 (c) 142 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 39 = 2*y. Let b be (-714)\/364 + y\/2. What is the second smallest value in b, -4\/7, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f - 544 = -144 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19277517 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -7*u**3\/6 + 2*u**2 - 291*u + 2. Calculate f(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156.614816 - -156.7. Let h = 17.083884 - b. Let j = -17 + h. What is j rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(26\/7)*b\/((b**(3\/10)*b)\/b) assuming b is positive.\nAnswer: b**(309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (84 + (26 - 40) + 15).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 61 (b) -3 (c) -3\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 1. Let a be o(1). Let i be (-55)\/(-10) - 1\/a. Suppose -i*k + 0*k = -135. Calculate the greatest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 - 182. Let q = 7 + -5. Let s be (-4 + 3)\/q*-10. Solve -n = 4*d - 17, -5*n + p = -s*d + 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s**2 + 8*s + 9. Let j be x(-7). Let p(r) = -4*r**3 - r**2 - 2*r - 12. Let f(h) = -h**3 - h - 4. Let g(a) = j*p(a) - 7*f(a). What is g(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Suppose -2 - 18 = -5*s. Suppose 0 = -w + 5*j - 3 - 17, -4*w = 4*j - 40. Which is the closest to x? (a) w (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.65229 rounded to 1 dp?\nAnswer: 977.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + d + 3*d)*(-5 - 1 + 5)*(23 - 20 + 25)*(0 + 5 - 1)*(d + 3*d - 2*d).\nAnswer: 448*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2222 - 1511. What is the greatest common divisor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 3 + 11*f - 3*f + 0 + 3*f**3 to c + b*f**2 + x*f**3 + t*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5083, 5079, 5075, 5071, 5067?\n\"Answer: -4*q + 5087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 33088990 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o - 3. Let v be z(-6). Let p(l) = 4 + 0 - v. Let g(t) = 5*t - t + 4 + 4*t + 6*t - 19*t + 6*t. Give -g(u) + 6*p(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:38 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*a = 3*a - 3, 0*a = -4*a + 8. Let s = 1 + 15. Is r smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 + 0.41088114506\nAnswer: 0.19088114506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.06 - 0.06. Let l(t) = t**3 + 17*t**2 + 12*t - 65. Let o be l(-16). Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/2 of a minute?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, 845, 2034, 3223, 4412, 5601?\nAnswer: 6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + (-12 - 1). Suppose 3*i - o = 2, 5*i + 0*o + 5*o = 30. Let w be i*-1 + (-18 - -8). Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6336 and 114118092.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 = -4*o + 509 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -41*c**2. Let l(x) = -4*x**2. Determine y(l(g)).\nAnswer: -656*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1 + 2))\/((-808)\/606).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 - 843 = -93*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -1.5. Let o = 1047 + -7325\/7. Let l = 2 + -4. Which is the third biggest value? (a) l (b) o (c) f (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111130479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 6751.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 9*j + 8. Let r = 3498 + -3513. Calculate p(r).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**6\/15 - 2*g**5\/5 - g**4\/2 - 28*g + 18. Let l(j) be the first derivative of x(j). Solve l(i) = 0 for i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 8)*4\/(-10). Let s be 4\/10 + 34\/(-10). Let v be (-5)\/s*(5 - g). Solve -4*b - 2*j + 12 = 0, -v*b + 8 = 3*j - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 51*o + 63. Let i be z(-7). Factor i - 4\/9*g**3 + 0*g - 2\/9*g**4 - 2\/9*g**2.\nAnswer: -2*g**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 141661 = 3*d, 2*d = m + 26845 + 67596. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16448786, -32897559, -49346320, -65795063, -82243782, -98692471, -115141124, -131589735?\nAnswer: -148038298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**2 + 2*p - 4. Give t(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 67280?\nAnswer: 605520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2 - 3163*o - 168801. Give j(255).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/5 - 46*t**3\/5 + 236*t**2\/5 - 192*t\/5 = 0?\nAnswer: 0, 1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28467 = 1509*m - 62996 + 14504 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*18\/(-15). Suppose -4*r + s*i - i = -56, 20 = r - 2*i. Find l, given that 18*l + l**2 - 6*l + 2*l**2 - r*l**3 + l**2 - 8 + 4*l**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**7\/105 + j**6\/15 - 9*j**5\/50 + 7*j**4\/30 - 2*j**3\/15 - 15*j. Solve d(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/63 + (-569)\/9. Let y = o - -125. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**3 + 4*d + 25*d**3 + 0*d - d**2 - 5*d**3.\nAnswer: 43*d**3 - d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:10 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -2*s + 2*g - 2, -79*s + 17 = -82*s - 4*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 172\/22 + 6\/33. Suppose -1000 = -19*z + 14*z. Suppose a*v = z + 312. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1252 + -1330 + (-3 + 2 + -3 - 11)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*l**2 - 291*l**2 + 572*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1254*h**3 + 2010 with respect to h.\nAnswer: 3762*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**0*s)\/s*s**7*s)\/(s**(2\/7)\/s*s\/(s*s\/(s**(-5)\/s))))\/((s**(-1\/2)\/(s**(-1)\/s*s))\/((s**0\/s)\/(s*s*s*s**(-4)*s))) assuming s is positive.\nAnswer: s**(227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -354\/7. Is 0 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(-5 + 5). Let k(d) = d**2 - 4*d + 3. Let y be k(2). Let u = 1 + y. Solve t + i*t + 4 = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 25.825?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u**17*u*u*u)\/u*u*u*u\/(u\/(u\/u**(-2))) assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -18, -32, -66, -126, -218?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p**3 + 3*p - 2. Suppose a + 0*a = 1. Let j be y(a). Factor z + 0 + j*z**2 - 17*z**2 + 0.\nAnswer: z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -9. Let d(o) = -y + 4 - 8*o - 7*o. Is d(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 6 - (15 + 11 - 63).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9 + (-96)\/(-18). Let a be (-2)\/(-4) - 3\/2. Let h = 1 + a. Solve x + l - b = h, -x = 2*x + l - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 > -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 2*y**2 + 3*y**2 - 2*y**3 + 4*y**2 - 3*y + 6 as m*y + k*y**2 + v + j*y**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/((-3)\/(-6) - 2). Let r = -8 - i. Solve -d + 3*d = r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 45 = -24*r. What is the units digit of 688170\/525 - 6\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)**43)**(3\/19)*d**(-2\/17)*d\/(((d*d*d**(2\/3)*d)\/d*d)\/d)*d*d**4\/(d\/(d\/d**6)) assuming d is positive.\nAnswer: d**(6074\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*t - 28 - 25 + 53 as g + l*t and give l.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 9*d**5 - 83*d**4 + 234*d**3 - 192*d**2 + 32*d = 0.\nAnswer: 0, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -65. Is z less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3129 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/575 - 33\/((-41745)\/994))\/(4\/20)?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 736, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s, -8*s + 9*s = 3*w - 9300. Is w a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 47. Let x be o(26). What is the second derivative of 57 - d - 86*d**5 - 42*d**5 - 60*d**5 + 44*d**x wrt d?\nAnswer: -2880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 12*x - 3. Let c be b(-12). Let f be 44*(-4 + 7)\/c. Let v = -38 - f. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*z + 16 - 19, 3*t + 9 = 0. Let f be (-2 - (-321)\/162)*z. Which is the smallest value? (a) 15 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 566 - 582. Suppose 0 = 4*q + 2*j - 28, -3*q - 5*j = -7*q. What is the least common multiple of q and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-12)\/8*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 16. Suppose y*o = 4*o - 8. Solve -d + 2*l + 2 = 0, -3*l - 4 = d - o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpwwpwpnzwwmwwm. What is prob of picking 1 p and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55\/2 - -27. Let v be (-88)\/(-154) + 39\/(-7). What is the third smallest value in 0.3, v, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674297911?\nAnswer: 3, 2819, 316223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/85360 and -85\/1696?\nAnswer: 9048160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1508\/(-312) - (-5)\/6. What is the common denominator of -74\/3 and m\/(-56)*-118*2\/12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -100*i**5 - 21560*i**4\/3 - 415208*i**3\/3 - 335456*i**2 - 851852*i\/3 - 239432\/3 = 0.\nAnswer: -173\/5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*b**3 - 149*b**2 + b - 69593.\nAnswer: -30*b**2 - 298*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836821847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*q = 54*q + 2*i + 5537, -2*q = -2*i - 2210. Is q a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + (-266 - -267) + (-1 - -11) + 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(3))\/sqrt(3) - (sqrt(128) - (sqrt(128)*-3 + sqrt(128)))) + (4 + -1 + sqrt(8) - (2 + sqrt(16)\/sqrt(2))) + 1)**2.\nAnswer: -88*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:35 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4238, -4237, -4236, -4235, -4234?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 1 - -6)\/((-6)\/(-16)). Let p(u) = -u**2 + 12*u + 9. Let n(d) = -13*d - 8. Let r(v) = -5*n(v) - 6*p(v). Is r(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -3 in decreasing order.\nAnswer: 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1317 + 1314. What is the nearest to 0 in -2\/13, k, -5, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39221 + -27529. List the prime factors of y.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/25 + 4\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5006*k - 4*z + 20 = 5011*k, 5 = 5*k + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(4*(1*sqrt(117) + 1))**2.\nAnswer: 192*sqrt(13) + 3776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -141, -237 in decreasing order.\nAnswer: 4, -141, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.582 times -114972\nAnswer: -296857.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -389, -414, -453, -512, -597, -714, -869?\n\"Answer: -t**3 - t**2 - 15*t - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(200) + -4 + 1*-4*sqrt(200) + 6*(-2*-1*sqrt(200) + (-1 + sqrt(200))*-4))**2.\nAnswer: -7600*sqrt(2) + 72600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6 - p - 8 + 0. Let d be v(0). Which is smaller: -7\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 - 7*r + 8*r + 11*r**2 - 2*r**3 in the form t*r + i*r**3 + s + v*r**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 253302 (base 14) to base 10\nAnswer: 1276550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342435?\nAnswer: 3, 5, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10656774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 12732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 - 5*s. Let v(o) = -3*o. Let f be v(-1). Let h(u) = 13*u**2 - 9*u**2 + u**f - u - 2*u. Give 3*d(q) - 5*h(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4674 - 47879.\nAnswer: -52553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjdnydpujyndjnjyj. Give prob of picking 1 p and 2 y.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaz when three letters picked without replacement from qzqezzapzzzqqqqzq?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 100*u**2 - 717*u - 103*u**2 - 3.\nAnswer: -3*u**2 - 717*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/558 + (-18)\/558*-2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263 smaller than -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 3*m - 8. Let y be d(-9). Let i be y\/(-10)*3*18\/(-24). Let q = i + -96. Sort q, 3, -1 in decreasing order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.602 + -2.154. Let r = m - 0.244. Let y = -22\/19 - -720\/589. Sort y, r, -4 in decreasing order.\nAnswer: y, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 3*a - 74 + 53, 5*n + a - 27 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6013 + -1600?\nAnswer: -7613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 88*q**2 + 21*q + 42. What is a(-2)?\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1337870 or 1337948?\nAnswer: 1337948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(156)\/(1*sqrt(300)) - (1 + sqrt(208) + 4)) + 2)**2 + 3.\nAnswer: 114*sqrt(13)\/5 + 4893\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 6:59 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 57*t**2 + 20*t - 8. What is the units digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 10*y**2 - 12*y + 18. Let t be a(11). Let n = -6 - -3. Let k be 12 + n + (t - 3). Solve 5*r = 5*f + 35, -3*r + 0*r = f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69620.4*0.1.\nAnswer: 6962.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117222 - -1962360.826.\nAnswer: 2079582.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + sqrt(2592)*2*4 + 6*(sqrt(2592) + 1) - sqrt(2592)*-1*-2*-6)**2.\nAnswer: 11664*sqrt(2) + 1889604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i - 33*i - 524 = -56*i + 2*v, v = 5*i + 99 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 103519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (32487\/(-455))\/((-1)\/10) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let f = -186 - -121. Let s = f - -67. Solve -m*y = q - 6, -3 = 3*q - s*y + 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 37. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.003.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 12 + 11 - 2*k**4 + k**2 + k**3 - k**2 as w*k + l*k**4 + h*k**3 + d + g*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(0\/2 + -1). Let c be (-16)\/(-3)*-1 + (-15)\/(-45). Let i = m + c. Is i smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000113039 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -75*a**2. Let k(u) = -4*u**2. What is f(k(z))?\nAnswer: -1200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46445710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443132 (base 5) to base 8.\nAnswer: -36071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2424220 - -243044?\nAnswer: -2131121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33, -33, -27, -15, 3?\n\"Answer: 3*v**2 - 9*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 5*n - 7. Let y(m) = m + 1. Let c(g) = 6*y(g) + z(g). Let r be 0\/3 - (1 + -2). Calculate the least common multiple of c(r) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:43 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.27198*-5.9.\nAnswer: -54.704682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 404*u**2 - 1259*u + 15459. What is b(407)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t. Suppose 15*b - 2*b - 3*b = 0. Solve 3*s + b*s = t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - 2) + (1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Let r be p(-2). Let l be (-4)\/(-1) - (r - -1). Let h(d) = -d**3 - 7*d + 2*d**l + 12*d - 5 - 5*d**2. What is h(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 389*l. Let v(d) = d**2. Give v(o(y)).\nAnswer: 151321*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-322)\/(-4347) + (-919263)\/(-81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/(w\/(w**10\/w*w*w)))**49 assuming w is positive.\nAnswer: w**(2401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 21 + 117 = 0. Let u(g) = g**2 - 12*g + 6. What is u(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.124058 millennia in decades?\nAnswer: 212.4058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/4, 1\/34, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -54612175?\nAnswer: -54612171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 - 297.8. What is the nearest to f in 5, 0.041, 2?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*x = -2, -12 = 5*d - 5*x + 3. Let n = -0.2 - 0.8. Let f = n - -2. What is the closest to d in 5, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4 + 6*f**2 - 2*f**2 - 2*f**2 + 2*f**3 + f**2 - 5*f. Let k be o(4). Suppose -2*p = -0*p - k. What is the greatest common divisor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*j - 650 = 0, -4*w - 67 = -3*j - 705. Let y = w + -161. Solve -b = -2*m - 2, 2*b - 3*b + 2 = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6963 is divided by 688?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 43. Let b(n) = 2*n - 16. What is the remainder when -12*10\/8*-2 is divided by b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 64*k**2 + 4*k + 13. Let c be q(5). Suppose o = -885 - c. Is 6\/3*(0 + o\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 214*c**3 - 6*c**2 - 6*c - 7. Let q(i) = 5*i**3 + i**2 + i + 1. What is f(g) + 6*q(g)?\nAnswer: 244*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h**2 - 60*h + 5\/3*h**3 + 560\/3 = 0. Calculate h.\nAnswer: -4, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + -27562?\nAnswer: -2754d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332 - -101303?\nAnswer: 112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150\/373897 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325\/1100 + 12\/(-22))\/((-210)\/2040).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuudcrvcoou. Give prob of picking 1 o, 1 c, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 21*r + 1419. Does 38 divide i(64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 5, -3\/2, 2.9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbvbvydvddbddd. Give prob of sequence vv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 4. Let u be y(-2). Let g be ((-10)\/(-4))\/(u\/(-12)). Let j be -1 + (g - (-6)\/(-2)). Is 3\/5 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1456 - -1456. Let p = -2.7 - -2.89. Put 5, p, 0.5, a in ascending order.\nAnswer: a, p, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3308\/7 - -468. Let z = -31\/7 - w. Which is the second biggest value? (a) -4 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937cd (base 16) to base 11.\nAnswer: 382970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69782 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*4\/(-48))\/(19*1)*(-15)\/5.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 + 13)*(-3*r**2 - r**2 + 6*r**2 - 2).\nAnswer: 18*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05447116702 to five decimal places.\nAnswer: -0.05447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 83. What is the remainder when q(15) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/54)\/(((-42)\/(-140))\/((-18)\/(-2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74176 is divided by 1679.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4241 and 2906.\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10*(6916\/(-140))\/(-19)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = 4*n + 24, -27 = 5*n + v. Let z(m) = -30*m - 142. Calculate the lowest common multiple of z(-5) and (-6)\/n*(-20)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:43 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 8*o - 5. Give r(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -766095 by 6.\nAnswer: -255365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - v + 3 + (-2*v + 0 + 0)*(-2 + 1 + 0) + 26*v - 43*v + 22*v + 30*v - 3*v + 12*v.\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 2\/15 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {i: 13, s: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26686, 106700, 240056, 426754, 666794, 960176?\n\"Answer: 26671*o**2 + o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, 2752, 5911, 9068, 12223, 15376?\nAnswer: 18527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13906*i - 413. Is u(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10484124, -20968260, -31452396, -41936532, -52420668?\nAnswer: -62904804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 617349072 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 1}. What is prob of picking 2 q?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-213)\/(-18) - 2)\/(30\/(-560)). Let k = -184 - j. Which is the second biggest value? (a) 0 (b) k (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -178 + 179 - 59*y + 65*y. Let t(z) = -5*z - 1. Suppose l = -10 + 4. Calculate l*o(n) - 7*t(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/74, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, x: 4, w: 5, p: 1, q: 3}. Give prob of picking 4 k.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 121 - 93 = 0. Let i(m) = 24*m + 102. Let j be i(q). Solve 4*c = -j - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*d**3 + 852184641*d**2 + 39*d**3 - 852184641*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 17}. What is prob of picking 3 h?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -7 (c) -0.5 (d) 0.249 (e) 10 (f) 40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4 - 2 + 5. Let w(x) = x + 2. Let f(b) = -3*q(b) - w(b). Let a(p) = -5*p + 4. Let r = -228 - -222. What is r*f(d) + a(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**(1\/5)\/i)*i)*i**(-4))\/(i**(2\/17)\/(i**(-6)\/i)) assuming i is positive.\nAnswer: i**(-1183\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68811108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 10*v - 3*v - 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(0 - (-1)\/2). Put -1, u, -3 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - (-51)\/(-12). Find the common denominator of -11\/4 and (-6*l\/36)\/((-116)\/159).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 3. Suppose -22*l + 16*l = -30. What is g(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7595289 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 2*c - 5. Let f be k(5). Let q(n) = f + 6*n - 105. Let a be q(2). What is the greatest common factor of a and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13512558 and 564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8049 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 2. Let w(y) = -7*y + 31. Let u(h) = -3*h + 15. Let q(v) = -5*u(v) + 2*w(v). Let b be q(7). Let k(o) = -2*o - 1. Calculate b*i(r) + 14*k(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 5. What are the prime factors of 0 + s + 4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448275 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/40)\/(-2*(14\/(-45))\/14).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -618013327 to the nearest 1000000.\nAnswer: -618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116.7 - 117. Let o(y) = -y + 2. Let q be o(-4). Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = -2*r, -3*x - 4*r + 0*r = -1. Let h(d) = 4*d - 1. Is h(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21233 + 1414000?\nAnswer: 1440233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Let h = -3.2 - x. Let b = -1074 - -1072. Sort h, b, -3\/2 in ascending order.\nAnswer: b, -3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 47*c + 98. Let q be t(2). What is the second biggest value in 3\/5, -827, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*v + 3*q, 4*q + 32 = v - q. Suppose 10*o - 16*o = -30. Suppose 0 = -4*b - o*l + 37, -2*l = -b - 4*l + v. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 8. Let z(v) be the second derivative of 7*v**3\/6 + 15*v**2\/2 + 2*v. Give 11*p(h) - 6*z(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12. Suppose -j + 12 + 12 = m. Calculate the least common multiple of 23 - (j\/4 - 2) and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 10*a - 357 + 357 + 28*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2280 = 68*q + 160*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vusuzmvubzuzzsb. Give prob of sequence uum.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -0.09, 2\/499, -0.1?\nAnswer: 2\/499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -929 - -965. What is the greatest common divisor of 2460 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 37. Let q be s(15). Suppose q = 2*n - n. Suppose -5*m + 0 + 4 = -j, -j = m - n. Calculate the least common multiple of 16 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c26 + 16?\nAnswer: 5c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 - -0.3. Let l be 6\/(-5)*(-3)\/9. What is the nearest to 0.1 in 0, l, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*r + 15, t = 5*r + 7 + 8. Solve -u + 2*h = -h - t, 0 = 5*u - 4*h - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -74, -124, -196, -296, -430, -604, -824?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5251 and 11926?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 2*d. Suppose 23*b - d*b = 10656. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = -2*h, -2*h - 9 - 3 = -4*m. Let l(s) = s - 4. Let b be l(6). Suppose 3*y - m*y = b*w - 40, -4*w = y - 78. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 1, c: 2}. What is prob of sequence zcz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 - 2*v - 22. Suppose -5*m - 5*i - 60 = 0, -2*m - i - 32 = m. Let n be q(m). Which is the closest to 0.1? (a) n (b) -1\/3 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431610\/675 - 4\/(-30).\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-41)\/n**(3\/16) assuming n is positive.\nAnswer: n**(-659\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4371 and 1457?\nAnswer: 4371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 + 5*t - 17. Let m be f(4). Suppose 3*s = -m + 3305. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-282537)\/(-26910) + -9 + 6\/(-4). Let d = i + 56891\/121095. Calculate the common denominator of -61\/12 and d.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652217 is divided by 593.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 2. Suppose -28*m - 908 = -2588. Suppose 5*a = -2*p + 7*p - m, 4*a + 13 = -p. Let c(s) = 3*s - 4. Calculate p*h(v) - 4*c(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10412 + 136220?\nAnswer: 146632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 900906084 to the power of 1\/3, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/(-19)*1\/2. Let q be 70\/14 - (-8 - k). Suppose -q = 6*x - 7*x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let o(c) = c**2 + 2*c - 6. Let m be ((7 - 1)\/(-2))\/(-3). Calculate m*o(d) + 4*f(d).\nAnswer: d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 28 = -4*s + 3*b, 5*s - 24 = -b. Factor 1\/3*l + 2*l**3 + 4\/3*l**2 + 0 + 1\/3*l**s + 4\/3*l**4.\nAnswer: l*(l + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32928, 62271, 88028, 110199, 128784, 143783?\n\"Answer: -1793*l**2 + 34722*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let t be o(5). Let h be ((-4)\/6)\/(t\/30). Suppose 8*y - 154 = -20*y - 42. Which is the biggest value? (a) -0.3 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 1330, 3049, 5466, 8587, 12418?\nAnswer: 16965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y = -69*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199758 and 313326?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 1*(4 - 3). Let g = o - 11. Let f be g\/6*0 - -13400. What is f rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(10\/(-4) - 0). Suppose -231 = 5*t + 2*q - 826, i*t = 3*q + 595. What is the greatest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 * 44.4.\nAnswer: 457.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.215 minus -192432276?\nAnswer: 192432168.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 385531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 + 64*n**2 + 15*n**2 + 102*n**2 + 2*n + 56*n**2 to d*n**2 + z*n + t and give d.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375 and 330?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 4*p = -3*u + 12, 3 = -2*u - p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwppqnuqpwpggqqnpggg. Give prob of picking 1 n, 1 w, and 1 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25134\/472 - (-10)\/(-8). Let f(r) = 2*r**2 + 9*r - 4. Let k be f(-8). Calculate the highest common divisor of k and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:08 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2397 + -16?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (1 - 2)*1. Sort -5, -3, 3, o in decreasing order.\nAnswer: 3, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 293*d**3 + 1 - 356*d**3.\nAnswer: -63*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t**2 - 52*t + 1. Give l(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x. Suppose -d = -4, 2*y - 5*d + 31 = 5. Let a be ((-1)\/y)\/(5\/15). Let t be w(a). Put -5, -3, t in decreasing order.\nAnswer: -3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 + 2*b**3 + 0 + 16*b**2 + 0 + 5 = 0. What is b?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, -9, 207, 2, 14, -4 in descending order.\nAnswer: 207, 14, 2, 0, -4, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -784 + 1128. Suppose 4*p = 332 + h. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.962 - 0.038. Let y = c - -37.00000046. What is y rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -112628741?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 19. Let m(k) = 5*k**2. Give r(m(y)).\nAnswer: -50*y**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -119.85. Let i = t + 87.54. Let o = i - -54. What is o rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -0. Let a(m) = -4*m + 14. What are the prime factors of a(z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 257, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**3*w**2 + 3*t**3*w + 612453*t**3 + 59859*t**2*w**2 - 14*t**2 - t*w**2 wrt t?\nAnswer: 24*w**2 + 18*w + 3674718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.1 + 37.9. Let v = -53.5 + y. Let x = v - -1.5. Does x = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**5 + g**3 + g - 1. Let w(f) = 90 + f**2 + 31*f**5 - 2*f**3 - 2*f - 48 - 39. Let u(i) = -3*k(i) - w(i). What is the third derivative of u(n) wrt n?\nAnswer: -1680*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/4 + 291*z**2\/2 - 1665*z + 4914 = 0. Calculate z.\nAnswer: 6, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 2*i + 8 = -y - 2*i, 2*i - 16 = 2*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2560 and 502784.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3 + 2*h**2 + 3. Let s(x) be the second derivative of 0*x**2 - 1\/3*x**3 - 2*x + 0. Calculate n(s(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1476 = -4*g, 4*g + 3*q = 1039 + 437. Is g\/7 - (-8)\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 12:29 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 + 7*p - 10. Calculate s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.1, 21, 4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143949*c**3 + 1965*c + 389 wrt c.\nAnswer: -863694*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 207909467 divided by -5\nAnswer: -207909467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 11.\nAnswer: 313\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7565 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/4 + 39861*l**2 + 79725*l.\nAnswer: -3*l*(l - 53150)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 152 = -3*t, 4*t - 5*y - 208 = -y. Let i = -46 + t. Solve 0 = -38*n + 34*n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -4\/69 (c) 4 (d) 2 (e) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3b58 (base 13) to base 6\nAnswer: 103243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -14) + 0 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 2*a = 3*w + 138, 4*a = -4*w + 108. What is the remainder when w is divided by (-1)\/(-2) + 38\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14334.\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 b when three letters picked without replacement from {b: 2, r: 7, f: 5, w: 3, s: 1}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -6. Suppose 5*c - 2*z = 32, c + 0*z = -4*z + 24. Calculate the smallest common multiple of f and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31209*t**2 + 17*t + 1174195 wrt t?\nAnswer: -62418*t + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 21168399.\nAnswer: -3\/7056133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 - -25.51. Let r = -2 + -17. Let i = g + r. What is the smallest value in -0.2, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**4\/14 + 8*p**3\/7 + 15*p**2\/7 - 10. Factor g(o).\nAnswer: -6*o*(o - 5)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5*h + 1985*c**5 + 67*c**2*h - 170*c*h + 2*h wrt c.\nAnswer: -120*c**2*h + 119100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -470109131 plus -28?\nAnswer: -470109159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33416 - -119064. Let s = j - 85632.9932. Let n = s - 15. Round n to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffh. What is prob of sequence hf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 - 13 = 0. What is the remainder when 21 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/(-10) - (-22)\/(-55). Suppose -p + 4 = 0, x*p = 5*w - 108 - 7. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -3*y + 2, -4*n - 8 = 0. What is the second derivative of -2*x - y*x + x**5 + 3*x**5 wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 1974 + 402. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5650 - -5649.5. Which is the closest to 6? (a) v (b) 5 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - k - 483 = -30*k. Let d(y) = 4*y - 84. Determine d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -2 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3)*(-39)\/(-4). Suppose 4*t + s = -5*a, -3*t + 5*a + 0 = 2. Is 16 a factor of (0 - 25\/4)*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -4*g. Suppose -2312 = -3*i + j + 715, g = -4*j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 3 - 3 + (-23 + 23 - 17*m)*(-4*m - m + 6*m)*(-m - 3*m + 0*m)*(m + 2*m - 2*m).\nAnswer: 69*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 242 = -47 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 24 = 19*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2853367\nAnswer: 2853367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k + 10. Let y be k\/10*(-3 + 1). Let j = 0.2 + 0. Sort y, j, -1\/2 in ascending order.\nAnswer: -1\/2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(209)\/(sqrt(1331) + sqrt(11))*-5.\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v + 64. Suppose 10*t - 656 = 92*t. Give c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1.0396 (b) -4 (c) 1\/8 (d) -5 (e) 6 (f) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29247 is divided by 4223?\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.43 - -31067.98.\nAnswer: 31069.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/(t\/(t*t\/((t*t\/t**5)\/t))*t))**(-14))**(-31) assuming t is positive.\nAnswer: t**3472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 420, 13, -3, -5 in increasing order.\nAnswer: -5, -3, 13, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -10010001000011111110?\nAnswer: -10010001000011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 7 - 2. Suppose z*q - 194 - 286 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-86)\/12 - (-2 - (-22)\/12). Let s be (m\/(-21))\/(1\/(-6)). Let a be s\/((-14)\/(-12) + 8\/(-12)). Sort a, -0.6, -2, 4 in ascending order.\nAnswer: a, -2, -0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-20))\/((-2)\/(-10)). Suppose c - p*c = 0. Let g be (6\/10)\/1 - c. Is 0.1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 17 - 37 - 33*y**2 - 178*y**2 + 5.\nAnswer: -211*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/252)\/(3\/248)*(-6)\/(-16)*2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/384565 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-70))\/(8\/(-98))*8\/(-140)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose t = -k*t + 40. Let u = t + -3. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (13 - 37) - (10 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/918)\/((-68)\/(-1292) - 235\/(-228))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 13. Calculate the highest common divisor of t and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 107. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1124, 4570, 10318, 18374, 28744, 41434?\nAnswer: 56450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/245)\/(-11)*-5*(2 + -9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 19761*m**2 + 257292*m + 712800.\nAnswer: -3*(m - 6600)*(m + 4)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.47 + 2.77. Let b = 40 + k. What is the third smallest value in 44, b, -1, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405*b*q*y - b*q + 6*b - 2*q*y - 100*q - 566*y - 3 wrt y?\nAnswer: -405*b*q - 2*q - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnbnxjbjnhhjjkj. What is prob of picking 1 x, 1 k, and 2 n?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5294064698?\nAnswer: 2, 13, 23, 8852951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-seven halves of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t**3 + 0 - 7\/5*t**4 + 2\/5*t**2 = 0. Calculate t.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 7\/15267379 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22370230 by 7193.\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1118e (base 15) to base 13\nAnswer: -1b986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 - 59 = 2*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7348, -7367, -7386?\nAnswer: -7405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118028*h*y**3 - 171065*y**3 with respect to h.\nAnswer: -118028*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -2\/1010548513?\nAnswer: -2\/1010548513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1\/28, -3\/5, -3, 2, -1.1?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 620402 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1575*a**2 - 1575. Let q(o) = o**2 + 9. Calculate 350*q(t) + 2*v(t).\nAnswer: 3500*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 0. Let d(s) = -s**3 + 7*s**2 - 4*s - 4. What is the remainder when 31 is divided by d(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539993 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(2\/9). Let m be -3 - 1 - (-36)\/(5 + -1). Suppose -u - 2*u = 3*a, 4*a = -m*u + 2. Solve -u*d = -x*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*c**3 + 195 + 32 - c**4 - 2*c**4 - 22*c**3 + 105 with respect to c.\nAnswer: -12*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (-160)\/64 - (-1034)\/4.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -40 (c) -1 (d) -19 (e) 1 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 13044*c - 14178828.\nAnswer: -3*(c - 2174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444342*b**2*w**2 + 13*b**2*w - b**2 + 3*w**2 + 2*w + 8290 wrt w.\nAnswer: -888684*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 9, -3685, 0.03, 0, 8.\nAnswer: -3685, -1\/12, 0, 0.03, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 80, 443, 1312, 2903, 5432, 9115?\n\"Answer: 36*k**3 + 37*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/((29930\/16)\/(-41)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -2*m**7\/105 - 67*m**5\/60 + m**4\/8 + 37*m**3\/6 - 3001*m**2. What is the second derivative of i(r) wrt r?\nAnswer: -48*r**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20484)\/45*(-15)\/12 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -11\/2*f**2 - 1\/4*f**3 + 273\/2 + 125\/4*f = 0.\nAnswer: -26, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*((-980)\/(-12) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 3*c - 3*c + 8*c to l*c + n and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72123, -144244, -216363, -288480?\nAnswer: -360595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-455 - -2)*(-10000)\/60. What is z rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -11. Let n = c + 4. Let a = 0.7 + 0.3. Which is greater: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*l - 321 + 1155 - 5872 = 2306 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, -10, 43 in descending order.\nAnswer: 43, -1, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16573.14212 and -494.8.\nAnswer: -17067.94212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -5.0068?\nAnswer: 4.9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 4*d**2 + 2*d + 1. Let l be o(2). Suppose 3*u = l*u. Solve u*v = v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/(-1230)*(-12)\/21.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/9 (b) -4\/5 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let w = 4 + -4. Which is the third smallest value? (a) p (b) w (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -890, -889, -888?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/68 and 2 - -3 - (-9)\/(30600\/(-15730)).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 - -214.1. Let u = 0.03 - 0.53. Let l = -7 + 3. Which is the closest to 1? (a) z (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 194.\nAnswer: 5\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 11, -0.1, -5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227863018 is divided by 5115?\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 2, p: 3, g: 3, b: 3, r: 4}. What is prob of picking 1 d, 1 r, and 1 p?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 8*l + 9. Suppose -2*z - 24 = 4*s, 2*z = 7*s - 2*s - 6. Let a be v(z). Calculate the highest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -664.493 - -664. Let y = 88.193 + g. Let k = y - 84. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + u + 29 = -0*i, 0 = -2*i - u - 18. Let o = 12 + i. Let m be ((-1)\/(-18))\/(2\/8). Is o != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -2930255.\nAnswer: 2930254.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-2)\/8)\/((-9)\/(-5454)))\/72 and 19\/68.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4671767813?\nAnswer: 4671767813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 22*b**2 + 18*b - 41. Calculate the remainder when r(9) is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191153?\nAnswer: 23, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.1, 3\/17 in decreasing order.\nAnswer: 4, 3\/17, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239561*x**2 - 156931*x**2 + 5454820*x**2.\nAnswer: 5058328*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let q be x(-5). Suppose 12*t = -13*t. Suppose t = -4*z + 33 + 51. Solve -4*f = -q + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3122278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414 - 0 - (1 + 3 + -1)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 145. Let i(v) = -2*v. Give b(i(s)).\nAnswer: 2*s - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, j: 4}. Give prob of picking 2 j and 1 t.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 20 + 5. Suppose -3*m = -x + 237, -10 = c*x + 5. Let h = m + 120. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 4*m**3 - 3*m**3)*(0 - 2 + 3)*((m + m - 3*m)*(2 + 2 - 3) - m + 2*m + m).\nAnswer: m**4 + 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27369?\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a73 - 2?\nAnswer: a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18376 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.34109.\nAnswer: -0.24109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -160398 in ascending order.\nAnswer: -160398, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6434182.\nAnswer: 2, 3217091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.1 - 8. What is the third biggest value in 3, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/74 and 115\/164946.\nAnswer: 164946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m + 1. Let t(p) = 3*p - 12. Let d(l) = -1. Let k(j) = -2*d(j) + t(j). Let r be k(4). What is z(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40000\/(-12))\/10*(1 - -17309). What is g rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 411*c**2 - 2*c. Let u(k) = -10*k**2 - 10242 + 10242 - 5*k**2 + 6*k**2. Calculate i(u(z)).\nAnswer: 33291*z**4 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6211 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*70.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12963, 12920, 12875, 12828, 12779?\n\"Answer: -q**2 - 40*q + 13004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -7)*(-105)\/280*140\/6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 25*y**2 - 3*y + 78. Suppose 4 = -2*m + 36. Calculate the least common multiple of m and k(25).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(-15)\/5. Let w(x) = -4*x + 7*x + 4*x**o + x + 1 - 5*x**2. Let m be w(3). Solve -2*k + 7*k - 15 = 0, -5*r - m*k = 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = -4*g, 4*g - v - 16 = -6*v. Suppose 2*l + y = -2*y + 52, g*y + 44 = 3*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 298*v + 5477. What is c(-18)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 373, 743, 1113?\n\"Answer: 370*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011220 (base 3) in base 11?\nAnswer: -1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**6\/10 + 7*s**2\/2 + s. What is the derivative of l(m) wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860831.\nAnswer: 157, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900349.9 nanograms to grams.\nAnswer: 0.0009003499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*u - 2, -2*u - 20 + 43 = -3*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14671 is divided by 6016?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 > 443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781846?\nAnswer: 2, 11, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqqqqj. Give prob of sequence jqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2184)\/(-195))\/(((-6)\/6)\/((-5)\/6))?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.898 + -30.588. Which is the third smallest value? (a) -0.5 (b) o (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -258*x - 4*x**2 + 258*x. Let t(w) = -11*w**2. Calculate k(t(r)).\nAnswer: -484*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6586 to 2 dps.\nAnswer: -2.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.18. Let o = s - -0.32. Do 6 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8*y - 3*y = -25, 0 = 5*y + 25. Suppose o = -2*q + 6*q - 16, -5*q - 20 = -5*z. Let m be 8\/(-2) + 72\/18. Solve -5*a - 28 + z = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164364517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9680 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 11. Let w be k(8). Suppose -8 = -u - w*u. Solve u*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7856051*r**2 + 6*r + 2546065 wrt r?\nAnswer: -15712102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -215, -221, -231, -245, -263, -285, -311?\n\"Answer: -2*k**2 - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -56. Let n be (-4)\/(b\/(-10))*3. Let m = 2 + n. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utsujtuslsltsloj. Give prob of sequence stu.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 220479?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) - (-86)\/(-52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1701.93815 - 1702. Let j = 0.062 + n. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m + 2*i - 42, -m + 5*i + 30 = 0. Let b be (4\/m)\/(10\/(-100)). Is -5 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92 and -0.01.\nAnswer: 91.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/13)*((s*(s\/s**6)\/s)\/s)\/s*s**(3\/4)\/s**(-2\/17) assuming s is positive.\nAnswer: s**(-5285\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*i = 0, 0*b - 3*b - i + 20 = 7*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 4. Let y be s(3). Suppose -l + 2*l = 42. Suppose l = 3*c - 21. Solve 5*p + y = c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -29*d**7\/210 + 11*d**4\/8 - 16*d**2. What is the second derivative of u(s) wrt s?\nAnswer: -348*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 53. What is the closest to -11 in -3, -0.1, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3352*d - 12 = 3349*d, 3*d - 10 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 300 = -745. Let l = x - -307. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 - 159689.528797\nAnswer: -159817.528797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -3*(-1 + sqrt(76)) + -3*sqrt(76)*6.\nAnswer: -40*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -412030, -411900, -411774, -411652?\n\"Answer: -2*k**2 + 136*k - 412164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 350365077?\nAnswer: 350365101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -4*n + 3*j + 3, -4*n - j = -128. What is the highest common factor of n and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59695898, 59695897, 59695896?\nAnswer: 59695895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -221, -364, -423, -356, -121, 324, 1021, 2012?\n\"Answer: 7*n**3 - 192*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**2 + 3942 - 4469)*(-3 + 0 + 1 + (-4 + 5 + 0)*(3 + 0 - 2))*(0 - 5 + 1).\nAnswer: 8*n**2 - 2108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Let q(x) = x**2 - 2*x - 3. Let l = -2 - 0. Let u be q(l). Solve -v*w - u = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 - i**4 - 3 - i - 3*i**3 + i**3 + 1 to a*i**4 + r*i + w*i**3 + u*i**2 + l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 551 or 547?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17672*o**4*s**2 + 2*o*s**2 + 44474*s**2 with respect to o.\nAnswer: -70688*o**3*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from {q: 9, a: 11}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 78334587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 + 13*l**2 + 462. Let y(i) = 3*i. Give t(y(m)).\nAnswer: -9*m**2 + 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/74169255 and -16\/24723085.\nAnswer: 74169255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5218?\nAnswer: 2, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3144953 and -127.\nAnswer: 3144826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/84 + (-23)\/70. Let a(u) be the first derivative of 1\/6*u**3 + 1\/4*u**2 + 0*u + 3 - 1\/8*u**4 - r*u**5. Determine y so that a(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/511?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 6*k**2 - 6*k + 2. Let b be d(-5). Suppose -4*q - 36 = -b*q. Solve 3*f + f = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105070 divided by -4.\nAnswer: -52535\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16\/40 - (4 - (-83)\/(-5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -262743, -525485, -788227?\n\"Answer: -262742*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*j + 14, -2*j + 10 = 5*c + 2*j. Let x be ((-2)\/(-4))\/(c\/(-16)). Suppose 3*g = -s + 94, 2*s + 134 = x*g - 8. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/51)\/(-1))\/(1\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*n - 7. Find the second derivative of -3*c**2 + c**2 + 10*c**2 - c + c**n wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229273.\nAnswer: 11, 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 30*u - 5 + (-4*u - 2*u + 5*u)*(1 - 7 - 7))*(3 + 4*u**2 - 3).\nAnswer: 172*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((135\/6)\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuugnnqnnnuggqq. Give prob of picking 2 n and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8050?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -6, -0.01, 3\/8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 6*f**2 + 5. Let c be q(-6). Suppose 0 = -c*u + 3*u. Let n(b) = -b**3 - b**2 - b + 4. Let k be n(u). Solve 2*h = 4 - 2, -14 = k*l - 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 59 + 71. Let w(p) = 12*p**2 + 7*p + 15. What is the lowest common multiple of 48 and w(v)?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 8640.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 272210.22 nanoseconds?\nAnswer: 0.000004536837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-15) + 6\/(-9). Suppose k - 4*h - 9 = 0, -2*h - 10 = -2*k + 2*h. What is the closest to k in -0.1, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242 = -s - 4*z - 1229, 55 = -5*s + 10*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0640453497 rounded to five decimal places?\nAnswer: -0.06405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*f - 334*f = -673*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0 (b) 1\/6 (c) 2\/3 (d) 861\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131 - -102221320?\nAnswer: 102221167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/88*(-3240)\/675\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 24*m - 105. Calculate the smallest common multiple of t(17) and 62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -41*j**2 - 28*j - 8. Let l be y(-4). Calculate the remainder when (l\/(-9))\/8*21 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -8*c + 4*c + 2*c + 17 + 3*c in the form d*c + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4886399, -4886386, -4886347, -4886270, -4886143, -4885954?\nAnswer: -4885691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*a + 60 = 0, 0 = r + 3*a - 6*a - 8. Suppose 0 = 3*w - 8*w - r, -4*w = 5*q - 84. Suppose 2*t + q - 178 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y**5 - 1666*y**4 + 36832*y**3 + 57560*y**2 - 61376*y - 31360 = 0. What is y?\nAnswer: -2, -2\/5, 1, 28, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from cxcccccxxccccx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, -72, -3, 17, -1 in decreasing order.\nAnswer: 17, 5, 2, -1, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 1, a: 1, l: 3}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. What is the remainder when (-3)\/((-27)\/114)*h is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373637 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: Expand ((1 - 2 - 1)*(0 + 2 + 0) + 2 - 2 - 2 + 3 - 5 + 1 - 4 - 3 + 13)*(r + 0*r - 3*r) + (-21 + 21 - 23*r)*(-1 + 0 - 1) - 34*r - 137 + 137.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -1\/2, -1.18725 in increasing order.\nAnswer: -1.18725, -1\/2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -703799000 rounded to the nearest one million?\nAnswer: -704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665704755 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-3)\/((-6)\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/60 - r**4\/12 + 4*r**3\/3 + 952*r**2. Let q = -3 + -3. Let o(m) = 1. Calculate q*o(w) + i(w).\nAnswer: -2*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, c: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/10)\/((-3)\/(-15)). Let u(v) = -22*v**2 + v + 1. Let t be u(n). What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 times 10.133?\nAnswer: -3080.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4251 - -115. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 14*c**2 - 23*c + 11. Suppose 3*l - 16 = l. What is the remainder when p(12) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 4681784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 - 3*c + 2. Let u = -4 - -7. Suppose 4*a + 4*q - 8 = 0, -4*a + u*q + 16 = -q. List the prime factors of p(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3335*q - 5. Let p be v(-3). Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(5*o**2 - 253*o - 3*o**3 + 238829*o**4 - 238831*o**4 - 5*o**2) in the form p + i*o**2 + u*o**4 + a*o**3 + n*o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -18. Let h(a) = a**3 - 9*a**2 + 20*a - 41. What is the smallest common multiple of h(7) and (-3 + 4\/2)*w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1435512 and 761412.\nAnswer: 851258616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.5 (c) -94 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lnnlnlnnlnnnnnnnnll.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*s + 1 + 16 - 213 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -311714, -623424, -935120, -1246796, -1558446, -1870064, -2181644, -2493180?\n\"Answer: j**3 + j**2 - 311720*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 4. Which is the closest to z? (a) -0.5 (b) -2 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**3 - 2*p + 4. Let y(z) = -28*z**3 + 91*z**3 - 3 + 8 - 2*z - 45*z**3. Calculate -5*b(c) + 4*y(c).\nAnswer: -13*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3a - 3c?\nAnswer: -c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2394.6 - -2266.6. Sort y, -2\/13, -3, 0.2.\nAnswer: y, -3, -2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from jjjjjjjjjjjjjljjljj.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 26. Is (-29)\/(-6) - 2\/f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7007920.06 rounded to the nearest one thousand?\nAnswer: -7008000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*((1 + sqrt(245))*1 - sqrt(245)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxccccxxxiccixi. Give prob of sequence xc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, r: 1, o: 4}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -376, -395, -414?\n\"Answer: -19*n - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -79. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -32 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w + 471*w + 973*w - 129*w.\nAnswer: 1369*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 120*l**3 + 425*l**2 - 510*l + 200 = 0. What is l?\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -198, -756, -1870, -3726, -6510, -10408, -15606?\nAnswer: -22290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 52408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 266829383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2496 and 148536?\nAnswer: 15447744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 11\/2, -2, 2, 3\/4, -0.4, 7.4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99624 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29169, -58406, -87675, -116976?\nAnswer: -146309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2. Let a(y) = 9*y + 2. Determine a(x(w)).\nAnswer: 72*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s - 90*s - 52*s)*(s - 2*s**4 - s).\nAnswer: 254*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/26340262 and 44\/169.\nAnswer: 342423406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 5*h**3 + 93*h**2 - 56 - 94*h**2 - h**3 - h**3 - 4*h**3 to w + l*h**4 + k*h**3 + i*h + x*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) -3\/10 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/8 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -500, -504, -508, -512?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142902.046*-5.\nAnswer: 714510.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/2 (b) 2\/29 (c) 0.06 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 13*g - 2 to the form t*g + i and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. Suppose t + 2*t - 15 = j. Suppose 2*o + o - 967 = -t*y, y = 2. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002989 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/13 + 70428*q\/13 - 70426\/13 = 0.\nAnswer: 1, 35213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x - 243813 = -1463013. What is x rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 899\/(-13) + 14\/91. Let a = 97 + y. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -38. Solve o = y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 0 - (0 + 1). Suppose d = j + 38. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87344, -87082, -86822, -86564, -86308?\nAnswer: -86054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00427 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-34)\/578)\/((-2)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565111183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1017 or 790.54?\nAnswer: -1017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760*a + 0 - 1103*a + 1.\nAnswer: 3657*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133208.7 rounded to the nearest one hundred?\nAnswer: 1133200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31212 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/(-2*(-5)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*t - 2*x, -2*t + 16 + 2 = -4*x. Let n be -4*1\/6*(-9)\/(-609). Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -25. Suppose 5*j + 2*x - 110 = 0, 50 - 160 = -5*j + m*x. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 137, 147, 161?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 140.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 1)*(-4 + 3 - 3)*(0 - 2 + 0)*(-6*s + 2*s + 2*s)*(0*s - s + 0*s)*(-6 - 1 + 2).\nAnswer: 320*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 12*i + 750. Let n = i + 123. Let j be (n - -9)*(-4)\/(6 + -10). Solve -4 = -j*w + 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 138501032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 343980 divided by 630\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let y(n) be the third derivative of 0 - 6*n - 11\/4*n**5 + 0*n**3 + 2*n**2 + 0*n**4. Determine y(z(p)).\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117126, -234245, -351352, -468447, -585530, -702601, -819660?\nAnswer: -936707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 8)*(0*m**2 - 6*m**2 + 4*m**2)*(-m + 1 - 1).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 92800 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -15651\/34736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + -6*6\/9. Let n = 48\/59 + 1047\/236. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50654 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -4. Let j(c) = 3*c - 1. Let q be j(1). Is q*n*19\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 2*y - 6, 153 = -2*o + y + 163 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35491 - 13468 = 66*j + 339*j + 5716 for j.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + t - 16 = 0, -15 = -4*x - 4*t + t. Let j = 0 - -56. Suppose -121 = -x*a + j. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 63, 87, 129, 195, 291, 423?\n\"Answer: k**3 + 5*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69552599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1, -26, -5872, -2, -8.\nAnswer: -5872, -26, -8, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(-7) - (-16 + (-1482)\/(-91))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from godowwwwygofgdd. Give prob of picking 2 g, 1 d, and 1 o.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*o + 2*j, -4*o - 2*j = -7*o + 14. Suppose -k - o = -0*k. Is 6 a factor of 81\/6 - ((-35)\/(-10) + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -25863.49, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 161?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**4 + 2*k**4 - 7*k**4 + k**4 + 0*k**4 + k**4 + (-4*k + k - 2*k)*(-5*k**2 + 5*k**2 - 3*k**3))*(-6*k + k + 3*k).\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*g + 41 = 0, -k + 148*g - 243*g + 4175 = 203*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((8 + -3 - 0) + (-20 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.2 - 6.8. Let i = s - -32.956. Let c = -0.04399891 - i. Round c to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5740068 - 2235068. What is y rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-518)\/6 - 4) + (-4)\/(-12). Let f = -68 - v. Calculate the remainder when 58 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 + -242 + (4 + -1 - -18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 + 15 = n, -4*n = -4*u - 40 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 6*v + 3. Let y = 9 - 3. Give o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.3778 rounded to one dp?\nAnswer: -29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - p**3 - 2 + 5*p**2 + 6*p + 2*p - 4*p**2. Let t be l(-5). Calculate the common denominator of 83\/8 and (-1)\/(-6) + t\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 13 + 91. Let 4*x**3 - 4*x**2 - j + 39 - 8*x = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1423\/563 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + 5*o - 4. Let s(f) = -6*f**2 - 10*f + 8. Let i(v) = 3*s(v) + 7*t(v). Let k be i(-4). Solve 3*y - 5*a + 29 = 0, -4*y = -4*a + a + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88997 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135135 - 3?\nAnswer: -135142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(-2*2*sqrt(76)*-5 - (sqrt(76)*1 + -2)*-6)**2 + -4).\nAnswer: -24960*sqrt(19) + 1030416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -36*i**7 - i**6\/3 - 1237*i**3\/3 + i + 283. What is the third derivative of v(l) wrt l?\nAnswer: -30240*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2986135*0.04.\nAnswer: -119445.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 192?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 696*u - 866 wrt u.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*j = -61, -3*j = 12749*d - 12753*d + 43 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2418451 = 2*i + 47*i + 702912. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2003\/6, -0.11, 2?\nAnswer: -2003\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 4*c**2 - 3*c**2 + (-21 + 21 - c)*(-6*c + 0*c + c) + 11*c**2 + 5*c**2 + 2*c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125895688307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 227, 342, 459?\n\"Answer: o**2 + 110*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cceeoocommosmm. What is prob of sequence mom?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -23, -2, 4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59465 = -1648*a + 12244 - 9085 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 2*k. Let j(t) = -2*t**2 + 6*t. Let a be (-12)\/4 - -14 - 4. Determine a*u(o) - 2*j(o).\nAnswer: -3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4333537928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/(2052\/48). Let x be (-352)\/(-1710) - (2 + -1). Let s = x + g. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 7*h**2 - 5*h - 7. Let u(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/6 - o**3 - 6*o**2. Give -5*u(d) + 4*y(d).\nAnswer: -d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 464?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let x(s) = -12*s + 11*s + 8*s + 28*s. Calculate x(w(v)).\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 789*r**2 + 5*r + 17. Let y(s) = 395*s**2 + 3*s + 8. Let i(j) = -6*h(j) + 13*y(j). Let x be i(4). Let z = -3155 + x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 + x**4\/12 - x**3\/2 - x**2. Suppose -3*z - 20 = -7*z. What is the smallest common multiple of z and v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**13)\/c)\/c**(-13)*c*c*c*c**(8\/7)\/c*c**(-1\/9) assuming c is positive.\nAnswer: c**(191\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43990275349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 2*m + m**2 - 2*m + 5*m to the form h*m**2 + x*m + r and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Solve -i = u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 + 58704*d**3\/7 + 528228*d**2\/7 + 226368*d + 1584522\/7.\nAnswer: 2*(d + 3)**3*(d + 29343)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -138. Calculate the remainder when 164 is divided by f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 15. What is the nearest to f in -5, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114248*n - 114248*n + 4349*n**2.\nAnswer: 4349*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253986466 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -2260?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*21\/1890*15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*x + 70, 0*x + 2*x - 2*c = 42. Suppose -3*m = -3*t + 6, -3*t + 6 + 1 = -2*m. Let o be x\/(-3) + 1\/t. Is o less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 38, 77, 142, 239, 374, 553, 782?\n\"Answer: q**3 + 4*q**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24\/44 + -21 + 21\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371 or 372?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2544 + 0.2344. Put h, 0.13, -3\/11 in descending order.\nAnswer: 0.13, h, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -23 + -16 - (1 - -1 - (5 + -2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.4 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105\/4 - -1147\/44. Let u = 19 - 20. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b + 15. Let o = 486 - 494. Calculate the smallest common multiple of 180\/o*12\/b and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -3 - 12) + (17 - 11) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 964*z + 3858. Let r be a(-4). Solve -f = 4*j + 2*f - 12, r*f = 4*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -16. Let a be (1\/u)\/(10\/200) + 3. Does 3 divide ((-80)\/(-70))\/((-1)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.6 + -12.88. Let f = -0.16 - -22.16. Let g = f + o. Round g to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (418 - 414)*69\/(-12)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*i + 14 = 2, -5*h + 13 = 2*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w + 4*w**2 - 1\/12*w**4 + 1\/21*w**8 - 13\/40*w**6 + 0 + 4\/105*w**7 + 17\/60*w**5 + 0*w**3. Suppose y(p) = 0. What is p?\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. What is the units digit of 5*(o + -1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8064 and 1\/288.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 2 = 0. Let p(o) = 12*o + 4. Let s be p(k). Let j be 70\/s*(-6)\/(-5). Solve 2*u = j*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3\/12 - (-10430)\/(-24). Let k = -885\/2 - p. Find the common denominator of k and -89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q - 80. Let u(x) = -26*x - 2. Let j be u(1). What is the remainder when (j\/8 - -3)*-178 is divided by m(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -89. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51302 and 112774?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*m - 2*m = -742, 5*j - 4*m = 1855. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 43) + (-7 - 1) - (0 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 24. Let p be r(-7). Let n(i) = -p*i + 5 - 6 + 2 + 4. Suppose -7*x + 12 = -4*x. What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 65. Let v(p) = 3 + 8*p - o*p + 3 - 3 - p**2. Give v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5109 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 35\/3 (b) 3 (c) -9276\/5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -41409?\nAnswer: -41409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21*6.5363\nAnswer: 137.2623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:33 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 152 divided by 11378\nAnswer: 76\/5689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g*(g*g**5*g)\/g)**(2\/31))**(-1\/6) assuming g is positive.\nAnswer: g**(-2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5988.76ml?\nAnswer: 5.98876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 + 532221?\nAnswer: 532503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/27*-3*(-36)\/(-8). Suppose -4*w + y*w = 98. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94604882 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - n - 136681 = 0, -5*m = -3*n - n - 683411. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 i when four letters picked without replacement from iisissiiss?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*j**5 + 0*j + 0 + 0*j**2 - 1\/4*j**4 + 0*j**3 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-2265)\/(-1359) + 14\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1888 in -1, 1\/3, -7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66770783*f**4 + 2*f**2 + 5967*f + 1244?\nAnswer: 1602498792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -982*x - 1966. Let y be d(-2). Sort -21, 3, y, -4, 0.\nAnswer: -21, -4, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6 and 17\/1969.\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*k, 4 + 3 = 3*b + 4*k. Suppose -12*a = -11*a + 3. Are b and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 19. Let r(v) = -v**3 + 14*v**2 + v - 22. Let h be r(14). What is b(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 469*y - 232*y + 75 - 236*y - 74. Let s(c) = -c + 2. Determine 6*l(o) - 2*s(o).\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-9)\/o))\/(o**5\/o))**(-5\/11)\/(o**(-1\/7)\/o**(1\/10)*o**(-3)*o*o*o*o**(-1)*o) assuming o is positive.\nAnswer: o**(-2263\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 3*b + 3. Let j be f(-3). Suppose 2*o + 108 = 4*k, 3*k - 4 = o + j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -4 - (43 + -1). Let g = n - -35. Suppose -28*f = -31*f - 30. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514 + 2111. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3 + 6 - 3 + 4*o - 2. Let f(c) = -21*c + 11. Let g(i) = -2*f(i) - 11*u(i). Let l(w) = 7*w**2. Calculate g(l(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/7 - 85*o**2\/7 - 1837*o\/7 - 1751\/7 = 0.\nAnswer: -17, -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10380477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -97596282 divided by -6?\nAnswer: 16266047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 30520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -203*z**2 + 1423*z - 12. Give a(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1106 - 1095. Suppose 4*u - 112 = -4*w, -2*w + 86 = 2*u - 6*w. Let x = u + q. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -32\/5, -3, -2, -4\/9, -5 in decreasing order.\nAnswer: 0.06, -4\/9, -2, -3, -5, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -17\/2*g**2 + 1\/4*g**4 + 16\/3*g**3 + 10 - 2*g. Let i be x(-17). Let w(c) = -2*c - 3. What is w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 4509?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-2)\/(-5) - 54\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 3933 + 3933. Let v(t) = 2*t**2 + 23*t. Give f(v(g)).\nAnswer: 4*g**2 + 46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 4*j**3 - 9*j)*(-301*j + 22*j - 60*j).\nAnswer: 1356*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 211 = -4*l + 2*l, 4*l - 5*u = 421. Suppose 0 = 3*j - 7*j + l. Calculate the lowest common multiple of j and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3936 = 67991510*x - 67991674*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3990001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 291.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 6, z: 6, a: 2, g: 3}. Give prob of sequence ddzu.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27730, -27736, -27742, -27748, -27754?\n\"Answer: -6*p - 27724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q - 79*q = -9153 for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1+10149.05409\nAnswer: 10148.05409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 2*o**7\/7 + 116*o**6\/15 + 38*o**5 - 300*o**4 + 814*o**3\/3 + 484*o**2 - 168*o. Find w, given that r(w) = 0.\nAnswer: -11, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5792, 41 in increasing order.\nAnswer: -5792, -7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12174*b + 10471*b - 34242*b.\nAnswer: -35945*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896 - 879 - 186*f - 898 + 2673.\nAnswer: -186*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151684350?\nAnswer: 2, 3, 5, 1011229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-7))\/(-3)*21. Is (-1)\/3 + 42168\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-114)\/423 + 2\/6. Let j = -121\/423 + w. Let b be ((-2)\/(-4))\/((-5)\/10). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 7. Suppose 8*o - 32 = -88. Give m(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + (1*-1*sqrt(242))**2 + 2)*-1.\nAnswer: -244 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:38 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -54, 1, -7 in ascending order.\nAnswer: -54, -7, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18.2. Let r = -1.2 + n. Put 2\/3, r, 4 in increasing order.\nAnswer: 2\/3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**4 - 51*m**3 - 39*m**2 + 99*m + 81 = 0?\nAnswer: -1, 3\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 3, 20002?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + r + 1. Let v be n(-2). Let f(g) = -18*g - 18*g + 14 + 37*g. Let s be f(v). What is the greatest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1850674 to the nearest ten thousand.\nAnswer: -1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009373 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -32\/215?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2456*p**6 - 23*p**2 + 448*p**6 - 613*p**6 + 459 + 20*p**2 + 27 wrt p?\nAnswer: -314520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -114424, -114413, -114402, -114391?\n\"Answer: 11*i - 114435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2429, -4858, -7287, -9716, -12145, -14574?\nAnswer: -17003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006969 to five dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 5. Let r be ((0\/1)\/(-1))\/(-2). Suppose 3*j + 6 = 5*j. What is the remainder when a(r) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61645*g = -61790*g - 6960 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 1)*(13*m - 4*m - 2*m)*(0 + 2 + 3).\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + r**3 - 5*r**2 + 3*r.\nAnswer: r*(r - 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = a + 3*m, 16 = 4*a + 4*m. Suppose a*p + 2*p = 310. What are the prime factors of p?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 28544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 - (0 + (3 - 5)). Suppose -2*r - 3*o + 22 = 2*o, 4*r + o - 26 = 0. Suppose -2*v = -y - 0*y - r, -y = -5*v + f. Solve y*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 - sqrt(252) - (sqrt(7) - (1*sqrt(84) - sqrt(84))\/sqrt(12))) + 2)**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412114 - 2412114 - 675*l**3 + 671*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2927 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5264, 10528, 15790, 21050, 26308, 31564?\nAnswer: 36818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4928616 and 1877568.\nAnswer: 39428928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, -43, -688, -1591, -2752?\nAnswer: -4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + (-55081362)\/(-7) - 7. Let w = 7015010 - 11383777. Let m = n + w. What is m rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042*q - 344349 = 1033*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 70*g = 0. Solve -106*z + 109*z - 18 = g for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) - (-98)\/4. Suppose 95 - o = 4*k. What is the remainder when 35 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1460218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266.93 - -266.63. Put -2, 0.5, -1326, k, -1 in descending order.\nAnswer: 0.5, k, -1, -2, -1326","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 45936.\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8972024507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 18*i**2 + 144*i\/5 - 4536\/5.\nAnswer: 2*(i - 6)*(i + 9)*(i + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*o**2 - 4\/9*o**3 + 0 + 4\/9*o**5 + 0*o - 4\/9*o**4.\nAnswer: 4*o**2*(o - 1)**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/120 + 185*i**3\/6 - 48*i**2. Let c(m) be the first derivative of f(m). Let l(b) = -4*b**2 - 8. Determine l(c(v)).\nAnswer: -4*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - 2*q)*(q - 1 + 1) - 3 + 3 + 4*q**2 + (91 - 91 - 54*q**2)*(-2 + 2 + 2) + q**2 - 6*q**2 + 4*q**2.\nAnswer: -103*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1. Let g(s) = 26*s - 5. Calculate -g(y) - 5*x(y).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 - d. Let j be b(3). Suppose -h + j - 30 = 0. Let w = h + 28. Solve -2*u = -w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -28*h**2 + h - 33. Let a(f) = 27*f**2 + 36. Give 3*a(y) + 2*x(y).\nAnswer: 25*y**2 + 2*y + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*r - 459, 5*a + 76 = r - 15. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/42*92\/69.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 123, 3, 14 in decreasing order.\nAnswer: 123, 14, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - v = -2*v - 340, 3*v = 5*u - 1710. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 17 - 2 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-45) + (-108)\/(-15). Solve 5*k = -10, 4*v - k - 2 = j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106074 - -312?\nAnswer: -105662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 27 = -9. Let g be u\/(-12)*(4 + (-6)\/3). Solve 5*a - 21 = 3*p - 6*p, g*a - 19 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3330, 3309, 3262, 3177, 3042, 2845, 2574?\n\"Answer: -2*m**3 - m**2 - 4*m + 3337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2279\/6504 - -20\/813. Which is smaller: z or -0.114?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 33400\nAnswer: 11\/16700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 831*j**2 - 8740464*j + 63108.\nAnswer: 3*(j - 10518)*(277*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(16\/(-28)*-189*7\/(-126))*-117?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*1456\/2405 - (-2 + -2)) + 2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 73, -3, 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/((8\/(-36))\/(6\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 + -204. Suppose -i = 4*i + 1525. Let h = i - -545. What is the highest common divisor of h and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 1715 + 5495 = 0. Suppose 2*z - 1071 = o, -j = -4*z + 3*o + 1765. List the prime factors of z.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2809)\/2968)\/((-135)\/(-20)) + ((-62)\/(-28) - 2).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.92 - -0.22. Let q = -2 - p. Which is the smallest value? (a) q (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*d + 87 + 114, -204 = -3*d - 4*x. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 306*s - 2387. Calculate j(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 400 - 367. Calculate the greatest common divisor of u and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 and -28\/2103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-48))**(-1\/32)*l*l\/(l\/(l*l\/(l\/(l**5*l))*l*l))*l*l**(-2\/9)*(l\/l**(-4))\/l*l\/((l\/((l\/(((l**(-2\/27)*l)\/l*l)\/l))\/l))\/l) assuming l is positive.\nAnswer: l**(775\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*r = 107*r + 21762. Sort 0, r, -3 in descending order.\nAnswer: 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let p(r) = 8*r - 12*r - 3*r + 12*r. Calculate j(p(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v**(1\/9)\/v))**(-41\/5)*((v\/(((v*(v**(-1\/7)\/v)\/v)\/v)\/v))\/v**5)**(6\/7) assuming v is positive.\nAnswer: v**(-14387\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 1167?\nAnswer: -1166.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 593536 and 141440.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 17 = 6*v + w, v = -5*w + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and 344.\nAnswer: 1272.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 + 3*n**2 + 8*n + 63499. Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-12)\/8*(-350528)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038474409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(108)*-2*-1 - (sqrt(108) - (0 + sqrt(108) + 3 + sqrt(108))))*4)**2*-3.\nAnswer: -42379200 - 4665600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8814 and -4.\nAnswer: 8810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13280519\/3564 - -8137\/324. Let d = -3704 - n. What is the common denominator of 62\/39 and d?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuugvfugfggfudud. Give prob of sequence dvdg.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.136 times 2\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*q = 0, 0 = -3*v - v + 2*q. Suppose f - 4 = v, 5*f + 0*f - 95 = -5*s. What is the highest common divisor of 135 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176447.\nAnswer: 3176447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*l + 865, -2*d + 757 = l - 128. Let x = 861 - d. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*y = 1466 + 629, 4*y = 3*u - 1236. Let w be ((-2)\/((-12)\/3))\/((-1)\/(-52)). Calculate the greatest common factor of w and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72598\/9249647 + 2\/17891. What is the biggest value in y, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, e: 1, n: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(735\/25) - 36\/63?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(95)*-4)\/(sqrt(405)*-3).\nAnswer: 20*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q - 81. Suppose 4*x + q = 389. Suppose 27 = 2*r - x. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-2 - (3 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267811578 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 376, 375, 374, 373, 372?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 61, 51, 41, 31?\n\"Answer: -10*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 349\/7 - (-2260)\/(-791)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*t + 12*t - 13 - 18*t - 1 - 171*t in the form n*t + d and give n.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12132 + 2042?\nAnswer: -10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/84)\/((-162)\/6561))\/((-48)\/(-56))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.8, 15\/2, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-13)\/(819\/(-216))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (1 + 2)*-1. Let l(q) = -1 + 36*q + 0 - 5*q + m*q. Is l(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(3 + (sqrt(128) - (sqrt(128) - (sqrt(128) + 0))) + -4 + 4)**2*-5.\nAnswer: -10275 - 3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 + 5*d**2 + 5*d - 5. Let y(l) = 16*l**3 + 28*l**2 + 28*l - 28. Calculate 28*c(t) - 5*y(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-939)\/(-9) + (-20)\/(-30). Calculate the highest common factor of n and 10192.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 2829?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 - 3*i + 8. Let w be d(-6). Let g be (9\/(-2) - -4)*w. Suppose -117 = -5*k + g. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*z - 1577 + 1577 as m + b*z and give b.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -76*n**2 + 14*n. Let s(q) = 13*q - 19*q + 2*q + 7*q - 15*q**2. Let z(a) = 14*s(a) - 3*w(a). Determine z(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7.7. Let s = -54.248 + 0.048. Let m = 54 + s. What is the closest to -1 in -3, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1244 divided by 311\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39000 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.67 - -0.37. Which is the closest to l? (a) -0.5 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -110\/56367?\nAnswer: -110\/56367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -16 - 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655829240?\nAnswer: 2, 5, 11, 151, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1296*h**2 - 436*h - 41. Is z(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 65.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.4 - 20. Put 2\/13, b, -5\/4 in descending order.\nAnswer: b, 2\/13, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 211656?\nAnswer: -5\/211656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u**5\/13 - 10*u**4\/13 + 92*u**3\/13 + 28*u**2\/13 - 42*u\/13 - 18\/13 = 0. Calculate u.\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -169. Which is smaller: -1\/68 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136395 - 69044. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/30 - 5*n**4\/24 - n**3 + 2*n**2 - 1351*n + 2. Suppose -5*t = 1 + 4, 0 = u - 2*t + 1. Calculate w(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -0.7. Let r = -0.1 - g. Let x = -0.22 + -0.18. Which is the second biggest value? (a) x (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.685 minutes to nanoseconds.\nAnswer: 7901100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575638224.\nAnswer: 2, 3, 7, 17, 179, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 5 - 19 + 4*u + 4*u. Let n be p(-11). Let b = n - -1635. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147477402 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - (-64 - -32) - -27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Let m be (-2)\/(12\/(-9) + 1). Let t = m - u. Solve -t*j = 12 - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.4, -4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 3\/34, 5, 2\/3?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6538 by 2.\nAnswer: -3269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (0 - (2 - 0)) + 8 + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*y + 4, -2*l - 9 + 1 = -3*y. Let p(n) = 2*n**2 - 2*n - 27. Let v be p(5). Let k be v + (-6)\/(-2) - l. Solve 5*b - b = k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - 3*f**2 - 28*f - 40. Let o(h) = 2*h**3 + 2*h**2 + 26*h + 40. Let z(y) = -4*o(y) - 3*p(y). Let r be z(18). Round r to the nearest 100.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + p. Let v(o) = -o**3 + 17*o**2 - 16*o + 10. Let g(w) = 6*f(w) + v(w). Let k be g(10). Solve -5*d = -k + 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1043*l**2*o + 3*l**2 + 4*l*o + l + 170*o + 2 wrt l?\nAnswer: 2086*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 2, 0.04, 21?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1120\/2772)\/20)\/(1\/(-3))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 - 16 - -6) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2143.9 + -2144.1. What is the second biggest value in d, -5, -52, 3\/20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/33)*o*o**27 assuming o is positive.\nAnswer: o**(922\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + -18.37. Let b = -9 - m. Let a = -9.0000024 + b. Round a to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13 = -1. Suppose 3*f + 3 = u. Suppose -4*z + 8 + 2 = 2*q, q - 4*z + 1 = 0. Solve -f*o = -4*o - q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(175\/10) - 15\/(-28). Let p(m) be the first derivative of -6 + l*m - 3\/8*m**2 - 1\/3*m**3. Factor p(x).\nAnswer: -(x + 1)*(4*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 20*x = 23*x + 12, 0 = p - 3*x - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-8)*(-259)\/(-168)*64\/8.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 4*c**3 + 12 + (5 - 3 - 3)*(1 - 5 + 2)*(144*c**2 - 7*c**3 - 144*c**2).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 44 + 35 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-4)\/2)*(-1340)\/(-7370)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((25 - 23) + 2 + 1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, k: 1, r: 4}. What is prob of sequence rk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8246896.\nAnswer: 2, 7, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 = 55*x + 144. Let f(y) = 8*y**2 - 56*y - 1. What is f(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0.6. Let b = -0.9 + s. Let m = -1.9 + b. Which is smaller: -2\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-4)\/(-8))*6 - 0. Suppose -4*n + 2*u + 6 = -58, 0 = -n - y*u + 9. Solve -5*r + n = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1715, -1716, -1717?\n\"Answer: -a - 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -c - 16645 - 4536, -l + 4*c + 21202 = 0. What are the prime factors of l?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334168*k**2 + 334168*k**2 - 43 + 66*k**3.\nAnswer: 66*k**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17821 + 19917.072117.\nAnswer: 2096.072117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - u + 2*u + (5*u - 4*u - 3*u)*(2 + 1 - 4) + 15349 + 363*u - 15349 + (-2*u + u + 0*u)*(-2 - 1 + 2) + 4*u - 4 + 4.\nAnswer: 371*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-4418)\/(-17) + (-12)\/(-102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36501)\/1058*108\/243*(-6)\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128996230, 1128996229, 1128996228, 1128996227?\nAnswer: 1128996226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3928, 13, 1.3 in increasing order.\nAnswer: -4, 1.3, 13, 3928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, o: 1, i: 1, a: 2}. Give prob of picking 1 e, 1 v, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -2*sqrt(2)*2 - sqrt(2)) + -2*sqrt(4)\/sqrt(2).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1423*z**3 - 1439*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14162 is divided by 97?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - -2 - 0 - -2. Let w(l) = l - 7. Let c be w(h). Suppose 17 = m - c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/5)\/p**(-23) assuming p is positive.\nAnswer: p**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*0.03.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*m + 8, 0*f + 4*m - 20 = -4*f. Let u = f - 3. Suppose 13*g = -14*g. Put u, g, 2 in decreasing order.\nAnswer: 2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1268*k + 1251*k + 19154 = -6261. Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -117, 4, -2 in ascending order.\nAnswer: -117, -2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2640, 3221, 3420, 3045, 1904, -195, -3444?\n\"Answer: -32*x**3 + x**2 + 802*x + 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/3 and 55\/51680916?\nAnswer: 51680916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-798)\/285)\/(((-6)\/15)\/(-1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l**2 + 6*l + 3. Let n(i) = -15*i**2 - 5*i - 2. Let o(h) = 3*a(h) + 4*n(h). Give o(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 13*s - 2. Solve -s*k + 7*k + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17845 by -22.\nAnswer: 17845\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-15) + 198\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001573793103 rounded to 6 decimal places?\nAnswer: -0.001574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 35 + 31 = 2*f, -f + 3*t = -18. What is the third biggest value in f, 0.022, 1?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430020 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715 = -2*y + l, -29 = 4*l - 9. Let q = y - -538. Suppose 5*g + 5*o - 45 = 0, 0 = -0*g - 3*g + 2*o + 12. Calculate the lowest common multiple of q and g.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.67374ml to litres.\nAnswer: 0.01167374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiffivifvff. Give prob of picking 2 v and 2 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - 6*s + 3. Suppose 5*t + 15 = 0, -295*t = -3*z - 294*t + 219. Calculate the remainder when q(-5) is divided by z.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/5, -0.1, -7\/59?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -3 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((sqrt(18)\/(sqrt(168)\/sqrt(7)) + 3*5*sqrt(3)*-1)*-6)**2).\nAnswer: -136224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1.84268287.\nAnswer: -2.14268287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*i + r, 5*i + 8*r - 189 = 11*r. Calculate the greatest common divisor of 169 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 * -0.84.\nAnswer: 2.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -1952 + 2017 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, 138, -0.1, 0 in decreasing order.\nAnswer: 138, 4, 1\/5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64.23 + 1.67. Let p = a + -16.1. Let i = 64 - p. Round i to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -11 + -3 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6222\/23 - 1482515\/5474. Find the common denominator of c and 7\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64445087.6 to the nearest 1000000.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2 + 8*q + 12 = 0. What is q?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 73*r - 128 - 101, 2*m - 9 = -4*r - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - 5*g + 4. Let b be v(5). Let j = 45 - 21. Suppose -s = -b*s + j. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82443*c - 84270*c + 226548 = 0 for c.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -321044524?\nAnswer: -321045025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 2, -14, -5 in ascending order.\nAnswer: -40, -14, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2204, -4407, -6608, -8807, -11004?\n\"Answer: h**2 - 2206*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 12, a: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2071 + -1310. Suppose -261 = 5*f - v. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -752.6 or -0.2386?\nAnswer: -752.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 1. Let f be d(1). Suppose 0*u + f*u = 0. Suppose 3*l - 87 + 21 = u. What is the lowest common multiple of l and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2093 - 5516. Let f = -27309\/8 - m. What is the common denominator of 43\/3 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011000 (base 2) to base 9\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 904.7001 millennia?\nAnswer: 904700.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 4ae36a?\nAnswer: 4ae370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -9*h + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.051, 4, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 621544.494 - -105.42.\nAnswer: 621649.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 11*r**5\/30 - r**4\/12 + r**3\/3 + 6*r**2. What is the lowest common multiple of (-4 - (-3 + 1))\/(-1) and l(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -29*x. Suppose 0 = -6*g + 4*g + 2, 2*v = -2*g. Let k be j(v). Let n = k - 318\/11. Which is the biggest value? (a) 0.5 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508788 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19530723 is divided by 2716.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12109 - -13907. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.98 and 30.21.\nAnswer: 482.7558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/11)*c**(1\/7)*c)**(-36) assuming c is positive.\nAnswer: c**(-5184\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 4529021\nAnswer: 126812588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 245642727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -0.01 (c) -0.5 (d) 5\/2 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956018293?\nAnswer: 53, 73, 103, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/350 and -15\/7?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17596873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*f - 12, -12*f - 3*n = -9*f - 9. Suppose -4*u - 15 = -4*g - g, 0 = -3*u - f*g - 18. Let w(a) = -a**2 - 4*a + 6. Determine w(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -34*t + 45*t. Solve 0*d + 4 = 2*s - 2*d, t*s - 3*d = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018526486 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/3))**(-1\/5)*v**(-1)*v**(8\/5) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 e when three letters picked without replacement from {t: 7, k: 3, e: 2}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/2460 and 3\/33128.\nAnswer: 496920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6417 and 10369251.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007271 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:05 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - x - 581 + 1675 - 569 = 591, 4*x = y - 228 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 13 - 43. List the prime factors of f\/2 - (-1)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 + -169. Suppose 43 - t = -2*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(25*p**2 + 13*p**2 - 13*p**2)*(-p + 4 - 4).\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5033.24cm?\nAnswer: 50332.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (7 - (6 + -4)*-1). Find the common denominator of (-76)\/(-18) - (z + 81\/(-6)) and -169\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m + 21 = 4641. Calculate the greatest common factor of 2548 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 2*v**2 - 7*v - 10. Is m(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4536076 or 4536075?\nAnswer: 4536075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let i(m) = -16*m + 1. Let g(q) = -i(q) - 6*k(q). Let c(j) = -5*j - 3. Calculate -4*c(n) + 11*g(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9861653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-2) - ((-117)\/9 - 65\/(-10)). Sort -1\/65, x, 16 in increasing order.\nAnswer: x, -1\/65, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1599262*g. Let w(b) = 110*b. Calculate w(s(r)).\nAnswer: 175918820*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let b = 1 + 0. Let p be v(b). Suppose -5*f + 7 = 4*d - 8, -2*f - 22 = -p*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l**2 - l - 7. Suppose -2*y - 2*f = 4, 4*f + 2 = -5*y - 6. Determine s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. What is the first derivative of 38*n**4 - 26*n**t - 24*n**4 - 6 + 0 wrt n?\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 22. Suppose -3*p + 7*p - 20 = 0. Suppose -p*k + o - 34 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202033011 + -10?\nAnswer: 202033001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 - 11 - (-2 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-28)\/((-392)\/(-42)). Let y(s) = -3*s - 13. Give y(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93372\/5 + -18674. Let f(j) be the first derivative of -7\/2*j**2 - 26\/3*j**3 - x*j**5 + 0*j**4 + 37 - 5*j. What is the second derivative of f(w) wrt w?\nAnswer: -24*w**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4024\/(-72))\/((-24)\/54). Is w < 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 1\/4, 2\/2299, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 15*x**4\/2 + x**3\/3 + x**2\/2 + 15. Is f(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -7, 0.375, 4?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4561 + 13173. List the prime factors of x.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let q(l) = -11*l + 28. Let v(i) = -19*i + 57. Suppose 0 = 3*k - 6, -10*n + 15*n - 24 = -2*k. Let b(g) = n*v(g) - 7*q(g). Give x(b(z)).\nAnswer: -z - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.62 - -0.7. Let m = -0.18 + c. What is the smallest value in m, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n - 9300296 - 6864106 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqlqlllqqllq. Give prob of picking 1 l and 2 q.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1174*2\/(-12))\/(15\/45). Suppose h*d + 12 = 591*d. Solve -2*y = d*m - 19, 4*m = 3*y - y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15441, -15442, -15445, -15450?\n\"Answer: -t**2 + 2*t - 15442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*n + 31, -3*s + 35 = -3*n - 55. Solve 5*w = -2*o + s, o - 5*w + 3 = -4*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 210498374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = 0, 4*w - 515 = l - 2*l. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 + 10125*j - 951750 = 0.\nAnswer: -2115, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 2. Let r be n(-1). Let g be ((-1)\/3)\/(r\/90). Suppose -4*i + 6 + g = 0. Solve -8 = -i*a - 5*d, -a - 3*d + 3 = -d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -430 - -818. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*c + f + 16, 5 = -f. Suppose j - c - 3 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 227 = -106 - 79 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16379 greater than or equal to 0.044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 57 = -b, -4*b + 42 = 2*s. Let c be 4\/(-6)*(576\/(-6))\/1. Suppose 4*j - c = -4*r, 3*j + j - 4 = 0. Is s > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 21. Let q = 57.26 + -57.06. Put d, q, -0.074 in ascending order.\nAnswer: -0.074, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/3 - 3*s**2\/2 + 4*s - 232. Suppose 8*z = 3*z - 15. Let o be g(z). Let l(f) = 2*f**2 - 4*f + 1. Determine l(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -1 (c) -0.4 (d) -415 (e) 0.19 (f) -1\/3 (g) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 158680, 317618, 476560, 635506?\n\"Answer: 2*s**2 + 158932*s - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/16 + d**3\/2 + 3*d**2\/2 - d. Factor p(b).\nAnswer: 3*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2070 and -67\/41331.\nAnswer: 1239930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 5. Let m be y(-8). Let n(v) = 43 + 25*v - 27 - m. Is 28 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2\/(-6)*(-2112)\/44 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:20 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -2.665918.\nAnswer: -6.334082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -17 + -10 + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 54377 = 3*c - 142111. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:43 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 3 = -h, -h = 3*t - 11. Suppose 4*x - 6*x + 2 = 4*q, 34 = 3*q - h*x. Solve -y = q*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2651 - 2651.5. Which is the closest to 0.4? (a) 2\/5 (b) 1\/3 (c) s (d) 360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43377 + 74977. Round k to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -8\/3*f**3 + 0*f**2 + 0*f - 9. Let i(a) = -a**2. Determine j(i(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(0 + (-1)\/1). Let d(z) = -2*z + 128. Let g be d(65). Sort h, 1, -3, g in ascending order.\nAnswer: -3, g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.5, 1, 4, -5, -243\/26, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -921057 and 0.367968488.\nAnswer: -921056.632031512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4701.939 centuries?\nAnswer: 470193.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 22 + 6. Suppose i*v - 12 + 0 = 0. Factor 11*f**5 + 15*f**4 - 5*f**4 - 3*f**5 + 2*f**v.\nAnswer: 2*f**3*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 1 n when three letters picked without replacement from ppamnaamnbinaaaaanin?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 79 = -626*t + 636*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:33 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -33 + (1 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + q - 36, -3*q - 12 = -4*k + 20. Sort -10, -4, -6, -3, k in ascending order.\nAnswer: -10, -6, -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/97?\nAnswer: -14\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 74 + 46 = 0. Suppose -136 = -50*n + 614. Solve o*g - n*g = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1637 + -6?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.65 + -7.3. Round u to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)\/y*y*y\/(y*y*y**(-11))*(y**(-7)*y)\/((y*y\/((y*y*y**4*y*y*y)\/y)*y)\/y) assuming y is positive.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8000\/120)\/(-10)*2*(-18)\/16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -453 times 0.052\nAnswer: -23.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.861 + -0.061. Let m = -3.7999864 + l. What is m rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 729165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 0. Suppose -4*p + h = -8. What is the remainder when 0 + (-2)\/(p\/(-3)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from dddkdddddddkdddkdd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:07 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1150*f + 1 - 1 + 1169*f - 2318*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 525 = 21*k + 6*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89.328 - -67.32. Let j = 0.008 + c. Let w = -22.001 - j. Round w to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 8. Sort 3\/2, 2\/121, u, -1 in descending order.\nAnswer: 3\/2, 2\/121, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 + 83 = -24*p + 132*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.370977 to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 4 + 15*r**2 + 2*r + 2*r**2 - 20*r**2 + r**3 - 10 + r**2 to t + x*r**4 + n*r**2 + j*r + w*r**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101003 (base 4) in base 14?\nAnswer: db91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 5*k**2 + 54 - 2*k + 4*k**2.\nAnswer: -k**2 - 2*k - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 438792 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((-192)\/72)*(-13)\/(-3). Let u = -1 + 0. Which is the smallest value? (a) u (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:47 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/1760*5*-24.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Let z(b) = b**3 - b**2 - 1. Let g be z(3). Suppose -6*p + g = c. Solve i + 11 = 3*n, -n = -p*i - 4*n + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) - (-17)\/7. Suppose -4*x + 70 = 3*w, 4 = x + l*w - 16. What is the lowest common multiple of x and (-2444)\/65*5\/(-2)?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6425, 5931, 5437, 4943, 4449, 3955?\n\"Answer: -494*o + 6919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 - (-1 + -1 - -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 4*f**2 - 3*f**2 + f**2 + 2*f**2 - 2*f**2 + (2*f**2 - 2*f**2 + 3*f**2)*(2 + 3 - 3) - f**2 - f**2 + 0*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w - 4. Suppose -w*u + 76 = 2*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -428.2 and 275.492?\nAnswer: 703.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -25. Let i be 26\/40 + 4\/(-10). Let m = -107\/58 + 10\/29. What is the nearest to i in -3, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95606.8 microseconds to seconds.\nAnswer: 0.0956068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49*(-255)\/(-141610) + (-1470)\/(-12036)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 100530?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 206, 208, 210, 212?\n\"Answer: 2*y + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 103. What is r(-39)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (sqrt(175) + 3) - (-3 + sqrt(7) + 2).\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (505 - 508) + (2 - -36).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 7. Let t be x(-5). Suppose 5*b + 156 = -3*a, t*b - b - 3*a + 24 = 0. Let m = b + 71. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**3\/7 - 2116*r**2\/7 + 39520*r + 121296 = 0.\nAnswer: -3, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v = 13*v - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*c - 170 + 154 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1839364950.\nAnswer: 2, 3, 5, 12262433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/((-24)\/60) + -1. Let m(y) = 6*y - 5. Determine m(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.1 - -27. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/9 and -47\/393.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -213 * -4\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f = -2*l - 11, 2*f = 5*l - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 1093, 3700, 8785, 17176, 29701, 47188, 70465?\nAnswer: 100360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 689*v**5 + 25495*v**4 + 24189*v**3 - 25423*v**2 - 24878*v - 72 = 0.\nAnswer: -36, -1, -2\/689, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5405096 divided by -8\nAnswer: -675637","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-45)\/(-330)*11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3802*x**4 - 3*x**2 - 25354.\nAnswer: -15208*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 20*r**2 - 9*r - 56. Is c(18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7830894.81 to the nearest 100.\nAnswer: 7830900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + -3 - -5. Let l(u) = -8*u - 76. Let v be l(-10). Solve v*d - 6 = f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*w - 16, 0*w = 3*x + w + 8. Let m be (-3)\/(-15) + x\/20*1. Let z be m\/(-1 + -2) - -4. Solve -g + 4*b = 1, 0*b + 14 = z*g + 2*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let r = -5 + -21. Let x be (r\/(-4) - o)*2. Solve -7 = -3*c - 4*s - x, -2*c - 4 = 4*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.53 * 11.\nAnswer: 302.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 69 = 22*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13646 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110100011 - -100?\nAnswer: -1000110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.01, -0.3, 1\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2481466.\nAnswer: 2, 13, 95441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 3, v: 4, u: 1}. Give prob of picking 2 s, 1 h, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37326 is divided by 229.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 37 - 629 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 81, 177, 311?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.996 - 0.004. Let t = 7.000005 + v. What is t rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*g**3 - 224754*g**2 - 38957824*g - 2 wrt g.\nAnswer: -1164*g - 449508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10, -3*o + 3*d = -2*d + 19. Suppose 4 = 3*i - o. Let w(n) = -1 + 5*n**i - 2 + 3. Let c(t) = -2*t. Determine w(c(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3836\/(-18) + (0 - 0). Let k = 214 + c. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/3, 2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 8527620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-28) + 4\/(-14). Let r(o) = -36*o**2 + 2*o + 1. Let m be r(-1). Let d = -36 - m. Put d, j, -4 in decreasing order.\nAnswer: d, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1051325593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmn when three letters picked without replacement from {m: 1, u: 1, z: 4, n: 1, x: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*w - 20*w - 4136. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/5 + p**4\/6 + p**3\/2 - 2*p. Suppose 585 = -3*t + 579. Let x(m) = m**3 - m**2 - m. What is t*x(f) - q(f)?\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 5\/4, -1, 0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 120*b**2 - 348*b + 348*b)*(1 + 0 + 0) - 4*b**2 + 5*b**2 - 2*b**2.\nAnswer: 119*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 290606, 290611, 290616, 290621?\n\"Answer: 5*s + 290601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 14*q + 240. Let w = q - -53. Solve 0 = -w*c - 5 + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and -13888377?\nAnswer: -499981572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3882920 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -4 + -2)*8\/16. Let u(y) be the first derivative of -6*y**2 + d*y**4 + 9*y - 17 - y**3. Factor u(q).\nAnswer: 3*(q - 1)**2*(2*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*24\/(-36))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-60))\/((-11)\/(-110)). Let v(y) be the first derivative of 0*y - r*y**3 + 5 + 0*y**4 - 3*y**2 + 3\/5*y**5. Factor v(p).\nAnswer: 3*p*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3168947965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1\/4, -2, -5, 0.0151, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.0151, -1\/4, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-five halves of a meter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43932359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 9*w + 12. Calculate i(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-49))\/((-4)\/(-14)). Let x(n) = 2*n + n**g - 2*n. Let z(y) be the third derivative of y**5\/12 - 2*y**2. Calculate z(x(u)).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let l(r) = -r**2 + 9*r + 5. Let t = -42426 - -42427. Give t*l(x) + 3*d(x).\nAnswer: -x**2 + 6*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6479 + -3837. Does 129 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a + 2. Determine v(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07244, -19, -3\/7 in decreasing order.\nAnswer: -0.07244, -3\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 6*t - 4. Let l be z(5). Let x = -4 + l. Let j(y) = 4*y - 21. Let o be j(5). Which is the closest to o? (a) -4 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/6 - 2*c**3\/3 + 4*c**2 + 56*c. Calculate w(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - 3*v**2\/2 - 5*v. Calculate the lowest common multiple of 4 and m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + (3 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 16*g**2 - 16*g + 47. Let i be y(-15). Solve i = 12*x + 50 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 22. Let h = 14 - j. Which is smaller: -1\/18 or h?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -467163.\nAnswer: -467163.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t + 24*t - 55*t + 22*t + 25*t. Let k(u) = -51*u + 12. What is k(s(f))?\nAnswer: -153*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -16896238?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1 = -135*n + 136*n, 2*n - 109*n - 3*f + 8*f - 1697 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*z**2 + 6*l*z - 69*l + 3*z**2 wrt z.\nAnswer: -4*l*z + 6*l + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, w: 2, y: 3}. What is prob of picking 3 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:09 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 5 - -5) + 1 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416851*c**2 + 415*c + 117 wrt c?\nAnswer: -833702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by (-74)\/(-5) - (-7)\/35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhffffvfffffvfffhhf. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 40. What is the tens digit of i(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, v: 8}. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 - 3)*(15 + 25 + 15)*(0*k - 2*k + 3*k).\nAnswer: 385*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25\/12 - -7\/3. Let u = 153.21311 + -0.07311. Let d = -153.2 + u. Are d and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 9 + 9.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 569*i**3 + i**2 - 652*i + 818. What is the second derivative of m(c) wrt c?\nAnswer: 3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 17322?\nAnswer: -17325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daaa when four letters picked without replacement from {d: 12, a: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5977, 5829, 5581, 5233?\nAnswer: 4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25536 divided by -266\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 8, 117, 0.2, 7, 5 in increasing order.\nAnswer: -2\/3, 0.2, 5, 7, 8, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -166, -323, -470, -601, -710, -791, -838, -845?\n\"Answer: l**3 - l**2 - 161*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 - u**2)*(-65 + 69 + 71).\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-3) + (-7)\/14*26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1380)\/(-3105) + 314\/(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1090 - -1094. Let n = 0.05 - 0.35. Let z = n - -0.2. Sort z, m, -3 in ascending order.\nAnswer: -3, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 39 + 5. Solve o = -4*z - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) + (-10)\/16. Let t = 99\/184 + v. Let w = -0.46 + 0.06. What is the second biggest value in w, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 + 6*a + 6. Let s be k(8). Let y = s + 774. Calculate the greatest common divisor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - o - 128. Let d be (138\/(-4))\/((-8)\/o). Suppose -c + 42 = p, -c + d = 4*p - 3*c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10599648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 160, -6944.\nAnswer: -6944, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18126 and 48336?\nAnswer: 145008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -171187 smaller than -171190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9192 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(b - 3*b + 0*b) + 2 - 6*b - 2 + b + b + 0*b + (-b - 2*b + 4*b)*(2 - 1 + 1) - b - 2*b + 4*b - 4 - 2*b + 5 - 4 to l + p*b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4. Let w(n) = n - 1. Calculate j(g) + 2*w(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9.0705 * 3\nAnswer: 27.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 56728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6*b**2 - 4*b - 4. Let i be y(5). Let l(t) be the second derivative of t**3\/6 + t**2 + 21*t. Let j(a) = a**2 + a. Calculate i*j(g) - l(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c3 + -32?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 - 23*d**4\/24 + 61*d**3\/6 - 135*d**2. Let i be j(20). Solve -5*p + 4*h = -i, -4*p + 2*h = -2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154317 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence not when three letters picked without replacement from {n: 4, t: 1, v: 1, o: 1, l: 3, p: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**3\/4 - 6630*t**2 - 8791380*t = 0.\nAnswer: -2652, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1718, 2, -3, 1, -2\/43, -1.8?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 16922983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -147*k - 17692. Determine n(-121).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 26*b + 240 = 5*j, -2*b + 5*j + 117 = 0. Calculate the highest common factor of 153 and b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1765*k - 16010. Give w(9).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 15 = 3*b. Solve 4*t + t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/825)\/(900\/2625).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10942 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -205?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4\/13 (c) 0.01 (d) -451\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/3 + (-10 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-6\/23)*l**(-4\/7)*l\/l**(-1)*(l\/((l\/l**(1\/3))\/l)*l\/(l\/l**(-4\/5)*l))\/(l**0\/l)**(1\/3) assuming l is positive.\nAnswer: l**(3548\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-10) + 3 - 81\/(-15). Solve -18 = -a*z + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -2\/9, 0.59, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 286261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2464*l - 66530. Calculate h(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9410055 to the power of 1\/2, to the nearest integer?\nAnswer: 3068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*y + 37*y + 50*y.\nAnswer: 160*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + -2.429. Let v = 1.901 - r. Let l = -0.03 + v. Which is the third smallest value? (a) l (b) -1\/2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.4. Let u be (-8)\/24 + (-1)\/(-3). Let m(z) = z**3 + 6*z**2 + 6*z + 1. Let g be m(-5). What is the smallest value in g, n, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -986064 or -986072?\nAnswer: -986072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -34a5?\nAnswer: -34a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21090 and 34417474?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*f - 1014*f - 3*a - 6 = 0, 2*f = -a - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 2*i**5 + 5*i**5 - 8*i**5 + 55*i**3 - 54*i**3 + 3*i**5 + (3 - 1 + 0)*(0*i + 0*i - i**5) - i**5 + 3 - 3.\nAnswer: -6*i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 + 2*i + 1. Suppose 2 - 1 = h. Suppose u - h = 2. Calculate the remainder when c(u) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 14 (c) 2012 (d) -1 (e) 5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1912070 or -1912088?\nAnswer: -1912088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 2) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 357*s + 40. Let u = 212 - 193. Is j(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3 + 3544*v**2 - 768220*v - 5552568 = 0 for v.\nAnswer: -7, 414, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64295394 by -11118.\nAnswer: 5783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81910097.\nAnswer: 17, 4818241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = 0, -3*q = 2*q + 2*z - 25393. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (662 + 7153 + 7047 - 1887)*(-2 + c + 2).\nAnswer: 12975*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -308*o + 2430. Give d(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3. Let l = 179 + -183. Let a(h) = -6*h**3 + h. What is l*i(m) + a(m)?\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18918752, -18918753, -18918754, -18918755?\n\"Answer: -r - 18918751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 271.\nAnswer: 15989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2369 and 68479447.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/20064 and -123\/497420?\nAnswer: 11938080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 28. Suppose z = -4*z + b. Suppose -5*i - 2*p = -18, -z*i + 11 + 3 = -2*p. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*f - 3*y - 24, 24 = 2*f + 3*y. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.74 + -2.74. Let g = -1442\/9 - -160. Which is the closest to g? (a) v (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/114 and -107\/38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2408*o + 3415. Determine w(2).\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 61142303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q - 76. Let k(u) = -10*u - 39. Give 2*g(z) - 5*k(z).\nAnswer: 6*z + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d**3 + 8*d**2 + 8*d - 14. Let r(x) = 22*x - 14*x + 5 - 3*x**2 - 3*x**3 - 11*x. Let g(h) = -8*r(h) - 3*y(h). Differentiate g(n) wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 1. Suppose 64*p = -14*p - 1404. Let i(v) = -10*v**3 - 10. What is p*u(s) - 2*i(s)?\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {i: 1, e: 3, g: 1, m: 3, q: 1, t: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1327 - 2652 + 1322 + 195*s + s**3 + s**2 + (-2*s**2 - 2*s**2 + 0*s**2)*(-2*s - 1 + 1).\nAnswer: 9*s**3 + s**2 + 195*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 481934690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 2 - 9*b**2 - b - 18 - 112*b**3 + 8*b**2 + 5 in the form i + c*b + h*b**2 + v*b**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 20737.33684 to the nearest 100.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*g, 0 = 4*s - 3*g - 89 - 56. What is the remainder when 65 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in millimeters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 12. Let a be (-1024)\/72 - (-2)\/h. Is (-432)\/a - 12\/(-84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 471*c**2 + 0*c**3 - c**3 - 62 - 68*c - 434*c**2. Let g be v(35). Solve g*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.01, 5, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 10:36 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -181*m**4\/12 + 27*m**2 - 147*m - 1. What is the derivative of t(a) wrt a?\nAnswer: -362*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-10\/3))**(-2\/39) assuming j is positive.\nAnswer: j**(-20\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6847 = -4*a, 2*a - 1758*u - 3424 = -1760*u. What is the remainder when a is divided by 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 19 = -4*i, 0 = -2*i - 6*w + 4*w + 2. Let m = i - -1. Suppose 4*h - 2*h + m*p - 8 = 0, 16 = 4*h - 4*p. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-5*j**2 + 6 - 6) - 2*j**2 + 0*j + 0*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -28. Let u = -4 + z. What is the smallest value in 4\/7, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 9*x**2 + 6*x - 5. Let a(n) = 2*n**3 - 17*n**2 + 12*n - 9. Let y(w) = 3*a(w) - 5*g(w). Let z be y(5). Solve 5 = z*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168524057\/504 - 334373. What is the common denominator of p and -19\/216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from mmmmmmmxmmmmx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/2)\/(1 - 27\/18). Solve u - i*u = 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*r**2 + 171*r**2 - 9*r**2)*(-5*r**2 + 4 - 4) + (1 + 2 + 2)*(2 - 2 + 2*r**4).\nAnswer: -960*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 9*o**2 - 6.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 4*t**2 + 3*t + 1. Let h be n(-2). Let k = h + 9. Let j be -5 + k + 6 + -2. Solve j*a + 7 = 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*q + 3 - 48*q + 1 as l*q + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 723935407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152205 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in -0.886, 3, -3, 1\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7484*w**3\/3 + 261938*w**2\/3 + 70*w\/3.\nAnswer: -2*w*(w - 35)*(3742*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -447 (b) 0.4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:17 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -505, -481, -437, -367, -265, -125?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15) + -1 + 48\/240?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*z**5 + 79*z + 1 wrt z?\nAnswer: -6440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/321 and -3 + (-5 - -4) - 189\/(-33).\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -24*f - 563. Calculate the remainder when 640 is divided by d(-28).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:09 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -22)\/19*26\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1567*b**3 + 13*b**2 - 22. Let f(p) = 1568*p**3 - 8*p**2 + 22. Let r(i) = -5*f(i) - 6*z(i). Find the third derivative of r(x) wrt x.\nAnswer: 9372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -4, 380, 0.5 in ascending order.\nAnswer: -4, -2, -0.4, 0.5, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2446633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.94 (b) -2583 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 17. Suppose -x + d + 19 = 0, -c*x + 29 = 5*d - 4. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vohh when four letters picked without replacement from vvooooqvvqhlhq.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 231, 232, 233, 234?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i - 26. Let q(n) = -16*n - 57. Determine 6*q(z) - 11*w(z).\nAnswer: -19*z - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3)\/i**(4\/5))**(-46)*((i*i**(-2\/5))\/i**(-4\/13))**(2\/21) assuming i is positive.\nAnswer: i**(-40162\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 2*x)*((-5*x + 4*x + 2*x)*(11 + 12 - 18) + (3*x - x + 0*x)*(1 + 0 + 0)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 177*j**3 + 15*j**2 + 3*j + 10. Let v be l(-6). Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(15\/12 - -1). Let d(v) = -4*v - 1 - 4 + 5*v - 2*v. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 2)*(-1 + 2 - 2) - 8 + 0 - 4)*(3*y**5 - 7*y**5 + 2*y**5).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -7*a**5\/60 - 5*a**3\/6 + 6925*a**2 + 2*a. Let y(g) = g**2 + 5*g**2 + 4 + 0*g**2. Determine -4*k(w) - 5*y(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2\/15 - 1325432*z\/15 + 1325434\/15 = 0.\nAnswer: -662717, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqqbbbbqqb. Give prob of picking 2 q and 2 b.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 13745 = -c - 18*t, 5*t - 68815 = -5*c. Is c a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3559, -17408, -40503, -72838, -114407, -165204, -225223, -294458?\nAnswer: -372903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(sqrt(448) + -2) + 1)**2 + ((-2 + -1 + sqrt(448))**2 - (2 + sqrt(448) + -1 - sqrt(448))))*6.\nAnswer: -6624*sqrt(7) + 100254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/1616966?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -23)\/32*(-40)\/(-26)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*77.8.\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 43*i**2 + 2*i + 1. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47521587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - -241?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -6*u - 25. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2108\/1521 - -194\/117. What is the common denominator of -53\/260 and f?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, -1041, 3.3, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)*(-20)\/80?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3\/2*j**2 + 3*j + 1\/60*j**5 + 0 + 2\/3*j**3 + 5\/24*j**4. Let a(c) be the first derivative of h(c). What is a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26354388739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1635100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 5*o - 20 = -t, 8 = t - 3*o. What is the units digit of (47\/t)\/((-6)\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -4*n, -14*d - 4*n + 24 = -9*d. Calculate the lowest common multiple of 46 and d.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704307, -1409368, -2114429?\nAnswer: -2819490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -291*c**2 + 8. Let y(l) = -582*l**2 + l + 18. Let t(p) = -5*n(p) + 2*y(p). What is the second derivative of t(z) wrt z?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 2*r + 3. Let t be z(-2). Suppose 2*h + t*c - 13 = 0, -4*h - 3*c + 4 = -7. Which is bigger: h or -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.254 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 387 divided by 6\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.82 + -10.6795. What is h rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -23) + (-11 - (57 + -28))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1327.489 decades?\nAnswer: 13.27489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7*h + 2. Let t be o(-8). Is t at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1897 or 2\/471?\nAnswer: 2\/471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 932860729 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1663 divided by -6689.\nAnswer: -1663\/6689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 22*n**2 + 18*n + 58. Let g be j(21). Is -4*(3 + 173995\/(-20) + g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/8 + o**3 - 2*o**2 + 11. Calculate r(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z + 5*q, -3*z + q - 8 = -5*z. Suppose 6 - 48 = -z*a. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44112 + 4?\nAnswer: -44107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iiwi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091732 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11426 + 569314.34.\nAnswer: 580740.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p**3 - 7*p**2 + 9. Let z be 7*12\/126*-6. Let d(q) = -6*q**3 - 4*q**2 + 5. Calculate z*y(j) + 7*d(j).\nAnswer: 2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.45 and 6689?\nAnswer: -16388.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5565243864 from -145.88.\nAnswer: -5565244009.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.494 minus -0.03?\nAnswer: -9.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1550 and 348900.\nAnswer: 10815900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 13951\nAnswer: 1534.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 - 24*v**3 - 32*v**2 + 24*v + 28 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*b + 11 = -3*a, -3*a - 4*b = 17. Let j(p) = 113*p - 13. Let d(x) = -56*x + 6. Let k(f) = -13*d(f) - 6*j(f). What are the prime factors of k(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/(-4 + 3). What is the common denominator of -3 + (n - 18\/(-44)) and 83\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -99*b + 13. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.846808ml to litres.\nAnswer: 0.006846808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -28*i + 107. Give z(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 2. Calculate u(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8958.789km in centimeters?\nAnswer: 895878900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023, 1026, 1029, 1032, 1035?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + o**4 - 26*o**2 + 28 - 25*o**2 + 49*o**2 to j*o**4 + b*o**2 + l + a*o + k*o**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 18*f + 94*f - 970 - 247, -4*f + 5*t + 59 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8513074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 + 0.12?\nAnswer: 136.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 2 - 10080*q**4 + 2 + 10078*q**4 to the form b*q**4 + h*q + w*q**2 + n + c*q**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 106 = 4*r, 338 = 4*a - a + 2*r. Let w = -105 + a. Suppose -4852 = -w*b + 5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187\/6 - -751\/24. Which is the third biggest value? (a) 25 (b) z (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = l, -k + 5*k = -l - 10. Solve -10 = -l*n - 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -111. Let u = x + -3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -2, 0.12, -5\/3 in descending order.\nAnswer: 0.9, 0.12, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 12:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 105 = -16*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = 2. Let u be (-1)\/(-4)*192\/(-48). Sort u, r, -4, 2.\nAnswer: -4, u, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 5*v**3 - v**3 - 10*v + 3 - 2*v**2 + 4*v**2 = 0 for v.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*b + 5*b - 16, 5*o = -3*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 - 105. Let c = r - 43.987. Round c to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g = -115*g - 2*m - 4, -g + 3*m = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/((-82)\/46248)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 48. Let z(y) = 222*y**3 - y**2 + 6*y + 6. Let m be z(-2). Does 26 divide m\/u + 52\/(-44) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121029 divided by 3?\nAnswer: 40343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j**3 - 3*j**2. Let c(b) = 5*b**2 - 18. Let x(l) = -l**2 + 3. Let a(r) = -c(r) - 6*x(r). Determine 3*a(p) + y(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 divided by 37.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from {a: 2, q: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)\/((n*n*n*n**(2\/3)\/n)\/n*n)*((n\/(((n**(-3\/7)\/n)\/n)\/n))\/n*n)\/n**(4\/13))**(-9\/4) assuming n is positive.\nAnswer: n**(2364\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose 0 = -2*k - z - 1, -4*z - 6 = n*k - 2. Which is smaller: 7\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**4 - 21*h + 21*h + (0*h**2 + 2*h**2 + 0*h**2)*(-h**2 + 3*h**2 - 3*h**2) + 281 - 281 - 54*h**4 as i*h + j*h**4 + t*h**3 + y + d*h**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 2025 = 2*y. Suppose 3*p - 4*z = -1, -2*p + 0*p + 3*z = -1. Let v(o) = -3*o - 12. Let n be v(p). Calculate the greatest common factor of y and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.65977 + 1000.48729. Let p = u - 991. Let v = 0.17 + p. What is v rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17593*k + 1061. Let g(z) = 26390*z - 1556. Let m(b) = 5*g(b) + 7*q(b). Differentiate m(c) wrt c.\nAnswer: 8799","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2303132022 (base 4) to base 14.\nAnswer: 151c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22322232?\nAnswer: -22322231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let q(o) = -8*o - 2. Determine 5*n(h) + q(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 25 = -11. Calculate the greatest common divisor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1 + 0) - 0\/97?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008532 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 163357, 163358, 163359?\n\"Answer: z + 163356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7 + (-9 - 10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/60*-6*18\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -135*y + 131*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8570, 16905, 25242, 33581, 41922, 50265, 58610?\n\"Answer: u**2 + 8332*u + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - h + 5 = 0, 2*h = -4*s - 10 + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3018, 12522, 54710, 136872, 272334, 474422?\nAnswer: 756462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 27015, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*h - 33376, -5*s + 174949 = 4*h + 8081. List the prime factors of s.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 3. Let h(l) = 45*l. Determine h(k(c)).\nAnswer: -135*c**2 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f - 3*l, 0*l = 5*f - l - 15. Let s = -7 + 8. Let s - 2*t**f - 2*t + 1 - 3*t**3 + 5*t**3 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:11 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + s - s. Let b(o) = 4*o. Let k(y) = -4*b(y) + 5*r(y). Let a(x) = x**2. Give k(a(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31173 + 0*a - 62880*a**3 + 62878*a**3 + a - 2*a**2.\nAnswer: -2*a**3 - 2*a**2 + a + 31173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + r - 1. Let z be a(1). Let p(b) = -4*b - 2. What are the prime factors of p(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183\/2 + 90. Put 0.1, s, -0.4, 10 in increasing order.\nAnswer: s, -0.4, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101011000011 (base 2) in base 8?\nAnswer: -75303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**4\/3 + 36*f**3 - 164*f**2\/3 - 58. Suppose j(d) = 0. Calculate d.\nAnswer: -82, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33523522 to the nearest integer?\nAnswer: 5790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 46\/(-8) - (-6021)\/(-8028).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -165, -0.1, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b, i + 0*b + 4*b = -10. Let s(w) be the first derivative of 7*w - 2*w**3 - 1\/2*w**2 - 1\/4*w**4 + 54. What is s(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750485 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4611170 and 4150053?\nAnswer: 41500530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 157. Suppose 11*s - 2176 - 794 = 0. What is the greatest common divisor of a and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -2. Let p be 57\/19*4\/6. Let a(n) = p + 5*n - 1 - 2 - 1. Let h(w) = -2*w + 1. Calculate g*a(x) + 9*h(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -14 - 10. What is the least common multiple of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-122 - 2)*-2) + -1. Let m = g - -451. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/5 in 3, 0.6, 58, -45?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 - 1. Let w(p) = -2*p**3 + 4*p**2 + 4. Let j(t) = -t + 1. Let o be j(-3). Suppose 0*b - 4*b - o = 0. Give b*w(l) - 4*q(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 6*o**2 + o - 1. Let s(a) = 16*a**3 - 32*a**2 + 6*a - 4. Let y(x) = 11*n(x) - 2*s(x). What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -435, 7 in increasing order.\nAnswer: -435, -131, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5bb72 + -2?\nAnswer: -5bb74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3241*i**4\/12 + 11*i**3\/3 + 27*i**2 - 1969*i. Find the second derivative of k(y) wrt y.\nAnswer: 6482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-60)*(-2 + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 177*s**2 + 33*s. Let m(a) = 47*a**2 - 22*a + 7. Let l(z) = 15*z**2 - 6*z + 2. Let j(c) = 7*l(c) - 2*m(c). Give -33*j(g) + 2*q(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -240. Let r be -1*(1 - 297\/p). Let n = r - 15\/8. What is the nearest to -1 in n, 0.3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3639.76 + -3537. Let k = j - 103. Which is the nearest to k? (a) 2\/13 (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 1242, 4197, 9966, 19491?\nAnswer: 33714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1249 and -16?\nAnswer: -19984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564974*l + 854996*l + 854985*l + 854994*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 188, -2, -15 in increasing order.\nAnswer: -15, -2, 0, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72321 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 18. Let r be j(6). Solve -r = -x + 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2875 - 2880. Sort 2, -3, 18, 1\/2, b in descending order.\nAnswer: 18, 2, 1\/2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlllcqlqqcllcqcllll. Give prob of sequence lccl.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - u - 3*u + 5*u - 14*u - 3*u - u + 2*u + 2*u - 3*u + 2*u + (-6 + 6 - 3*u)*(-1 + 2 + 1).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Suppose -j = -0 - 1. Let o(u) = 4. Let h(r) = 1. Let s(a) = j*o(a) - 3*h(a). Let p(v) = k(v) - s(v). Let z(c) = c**2. Give p(z(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 122?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usaa when four letters picked without replacement from susasusuusuauauaua?\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/203 and 4\/(-6) + (-969)\/(-8568).\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 1218?\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w + 0*w - 5*w + 4*w - w + 2*w + 0 + 0 + (4 - 2 + 0)*(-1 + 1 + w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -215?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867128?\nAnswer: 2, 107, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*316\/(-472) + (-12)\/(-18). Suppose -3*x + 0*u - 4*u = 5, -u = -3*x + 5. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*o**2\/4 + 39*o - 21 = 0.\nAnswer: -2, 14\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -165, 7 in ascending order.\nAnswer: -165, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6\/g**(-2\/9)*g**(1\/8)*g\/(g\/(g**(8\/9)*g*g)) assuming g is positive.\nAnswer: g**(665\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -3 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3282*t + 11*t**2 + 1509*t + 1550*t)*(-2*t - 5 + 5) as v*t**2 + b*t**3 + h + u*t and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 35. Let x = 14 - q. Is x less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpzzg. Give prob of picking 1 z, 1 p, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212*n + 2212*n - 82*n**3.\nAnswer: -82*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90.000368 - 90. What is l rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 9, 19 in increasing order.\nAnswer: -23, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and 6140.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1082, -1621, -2162, -2705, -3250, -3797?\nAnswer: -4346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4546*y - 5*o = -4544*y - 13, -2*y - 8 = -2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 0, 2*d + 4*c = 5 + 33. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(0 - (2 - 0)). Let t be (-1)\/(-1 - 1\/w). Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtbb when four letters picked without replacement from buvvbpbpbptpbv.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 11*p**4\/24 - 53*p**3\/2 + 2*p**2 - 35*p. What is the derivative of c(o) wrt o?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((12 - 11) + -35 - -27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*d**5*t**3 + d**2*t**3 - d*t**3 - 9*t**3 wrt d.\nAnswer: -1860*d**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Suppose -v*s = 2*s - 2*w - 2, -2*w = 5*s - 25. Let l(q) = -2*q + 3. Let i(z) = -z + 1. Determine s*i(b) - l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30188*b**3 - 6*b**2 - 3*b**4 - 30188*b**3 - 4*b**2 + 80 - 298 with respect to b.\nAnswer: -12*b**3 - 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 5*b = -39, -9*b - 12*b = -l - 16*b - 44 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/650808 and -101\/325404.\nAnswer: 650808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/4 - 7*q**3\/2 + 137*q**2\/4 - 105*q\/2 = 0. Calculate q.\nAnswer: -21, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 4 (c) 2\/3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/300 and 193\/930.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 207*g - 4294.\nAnswer: (g - 19)*(g + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3334a (base 12) to base 5.\nAnswer: 4133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.54191nm to kilometers.\nAnswer: 0.00000000009754191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.48 and 12101.\nAnswer: 5808.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/81)\/(24\/81*735\/(-980))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 2. Let c(z) = -25*z**2 + 5*z - 10. Let f(b) = -c(b) + 5*k(b). Let m(r) = -3*r. What is f(m(j))?\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n + x = -2, 2*n - 5*x - 31 = 0. What is the remainder when (20\/(-50))\/(n\/(-240)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 34 (b) -1 (c) -6 (d) 0.1 (e) -1.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 11319794?\nAnswer: -5\/11319794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 26 = 3*s. Let i be (-5 - 0\/(-4))*(3 + s). Suppose i*g - 258 = 48*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198974586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**7\/3780 + v**6\/405 + v**5\/135 + v**3\/6 - 2*v**2. Let i(r) be the first derivative of j(r). Determine w so that i(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9913974 and -0.15133?\nAnswer: 9913973.84867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**6\/6 + 58*x**3\/3 - 15*x**2\/2 - 374. Find the second derivative of p(v) wrt v.\nAnswer: -20*v**3 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 27, 47, 67, 81, 83?\n\"Answer: -p**3 + 9*p**2 - 6*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1897 + 1155 + 1446)*(-v + 3 - 3)*(4 - 6 + 0).\nAnswer: 1408*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1220311 (base 4) to base 5\nAnswer: 203314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 22*a**2 - 83*a + 44. Give r(-15).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-41134)\/(-18)*(170 - 161)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 11*v**2 - 18*v - 28. Let l be j(-7). Let o be 3 + -1 - (l + 46). Solve 6*t = 5*t + o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15181745?\nAnswer: 5, 3036349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (2 + -3 - 1). Find the common denominator of (-6 - -6 - (-17)\/z) + 1 and 11\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/15867 and -47\/39.\nAnswer: 206271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6316 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6080626*t**2 + 18921255*t**2 - 102368392*t**2.\nAnswer: -77366511*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + i + 0*i + (-10 + 21 + 34)*(-3 + 1 + 4)*(-4*i + 4*i - i) in the form d + h*i and give h.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 7*s - 13)*(1 + 3 - 5)*(-2*s**2 + 2*s**2 - 2*s**2) as p*s + i*s**2 + h + j*s**3 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2425671700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 7*k**2 + 6*k + 2. Let s be x(-6). Let b = s + -2. Suppose -5*c = -4*i - 4, 0 = -b*c + 2*c - i - 1. Which is bigger: 2\/11 or c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k + 1 + 23*k**2 + 16*k**2 + k**3 + 25*k**2 - 61*k**2.\nAnswer: (k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6671.\nAnswer: 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 109*p + 3. Is a(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 156\/182 + (-599)\/(-126) and 115\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 19.2753.\nAnswer: -115.6518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 614014 (base 12) in base 7?\nAnswer: 15632254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 71762?\nAnswer: -71762.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -545\nAnswer: -34\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534*o - 2*s + 10 = -1532*o, 4*s = 5*o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**3 + 5. Let d(h) = -13*h**3 - 3. Calculate 5*d(j) + 3*p(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) 2 (b) -0.01 (c) 4\/3 (d) -5 (e) -0.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + ((-3670)\/(-8))\/(-5). Let p = m - -93. What is the second smallest value in p, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 + 27 = 0, 3*r = 2*x - 608. Let t(a) = -300 + 598 - x - 7*a. Let j(u) = 2*u + 3. Let h(l) = -3*l - 5. Let f(z) = -3*h(z) - 5*j(z). Give f(t(o)).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 21. Let a = 8 + 9. Let y = a + g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5754 and 782.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 7*j**2\/2 - 86*j. Determine l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -2\/17, -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 109191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79161 - 79161 - 5417*o)*(-7*o + o + 3*o).\nAnswer: 16251*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3\/2. Let k(o) be the first derivative of 1 - 2*o + t*o**2. Let b(z) = -2. Calculate 2*b(d) - 2*k(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 14*v - 22410 = -2*j, 3*j = v + 33621. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((84\/(-32))\/(-21)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68 + a?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879503 is divided by 104.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/(-3))\/(8\/24). Let z(d) = -d**3 + 6*d**2 + 8*d - 2. Let b be z(7). Suppose b*q - r = -0*q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 125? (a) -0.5 (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27\/9 + -73)*-6.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482931 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b09 + -5?\nAnswer: 4b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 13?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 639*x**2 + 6*x. Let i = -2 + -2. Let n be b(i). What is n rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4769, 9543, 14319, 19103, 23901, 28719, 33563, 38439?\n\"Answer: z**3 - 5*z**2 + 4782*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 46 - 10. Suppose -3*x = -0*x - u. Suppose 73 = 4*i - 5*n, i + x*n = 4*i - 56. Calculate the remainder when 58 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9406*y**4 + 8166*y**2 wrt y?\nAnswer: 225744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 35. Let g be j(-9). Is (943 - -12)*g\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 72. Calculate the remainder when 33 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 8, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4878 divided by 18.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/1 + 157 + 1152382\/(-6160).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 54. What is the smallest common multiple of 7 and t?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(1 + -2)*-4. Let r(y) be the first derivative of -y**3\/3 + y**2\/2 - y + 94. Let b(x) = x**2 - 2*x + 3. Let j = 1 + -2. Calculate f*r(n) + j*b(n).\nAnswer: 3*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21008.1 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, q: 5}. What is prob of sequence fqf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 6, -551, 2 in descending order.\nAnswer: 22, 6, 2, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125 - 1?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*t + 51 + 80 = 0, 5*d - t = 336. What is the remainder when d is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97325391 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: Collect the terms in 54851*m - 109700*m - 76 + 54852*m + 76.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*h = 180*h - 95. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f + 51. Suppose 0 = -3*p + 4*p - 4*b + f, 2*p + 4*b - 14 = 0. Let y = 14 + p. Solve 2*o + 4*d = -14, -5*o - y = -d - 0*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, x: 16}. What is prob of picking 1 x and 2 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(4719) + (sqrt(4719) + sqrt(4719)*1)*-2))\/(-2*-1*(sqrt(3) + sqrt(48))*1).\nAnswer: -99*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = 2*v, -2*p - 2 = v. Solve -2*s = -2*n + 4, p = -s - 2*s - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cicxmmmjcmkjjjmm. Give prob of picking 2 j and 1 m.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 49 = -3*a. Let c(l) = 2*l + 8. Let o be c(-8). Let p = o + a. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 694 = 284. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 1477776*w - 16 - 1477778*w + 2955553*w.\nAnswer: -w - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 5*h - 5. Let v(q) = 3*q**3 - 5*q - 5. Let z(b) = 5*d(b) - 4*v(b). Let c(o) = -8*o**3 + 14*o + 14. Calculate 5*c(t) + 14*z(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116621?\nAnswer: 139, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62630 is divided by 364.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(-6*1*sqrt(6)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298487 - 298487 - 105*s.\nAnswer: -105*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-600))\/(((-246)\/6)\/41)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -26 + -56 + 73.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 4\/5, -188, 1\/3, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**2 + 0*l**2 + 7*l**4 - 3*l**4 + 5*l**2 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4596027 and 0.12.\nAnswer: 4596027.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13d (base 16) to base 4.\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-6))\/(-7*(-10)\/(-105)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2506913 + 2506913 - 11*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 - a**5\/12 - a**4\/6 - 8*a**3\/3 + 23*a**2 - a. Give b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -81 - 88 + 376*b - 351*b. What is the tens digit of l(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76021079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(-6*(sqrt(70)*5 + sqrt(70)) - sqrt(70)))\/(-1*sqrt(40) - 1*sqrt(160)).\nAnswer: -37*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 4\/(-50) - 113880\/(-1625)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000516951 to seven decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 157. Suppose z = 2*i, 3*i = -5*o + 2*i + 2403. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/171045 and -58\/37233?\nAnswer: 33695865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**2. Let n(o) be the third derivative of -o**5\/30 + 469*o**2. Give y(n(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (9 + (11 - (-9 + 17))) - 116 - -7?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/5 + 28*n\/5 = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*s - 2*k + 3*k, -k - 64 = -3*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.51342 to one decimal place.\nAnswer: 182.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (3 - -3 - (33 + -21))) + 41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42.4, -1.22, -40?\nAnswer: 42.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27618873*u**3*x - 4*u**2*x + u**2 + 1464*u*x - 211*x wrt u.\nAnswer: 165713238*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -506166*m**4 - 1307482*m**2.\nAnswer: -12147984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6702 is divided by 1493?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119887316?\nAnswer: 2, 23, 73, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1532.7 + 1533. What is the closest to 6 in i, -0.01, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6649.31 litres in millilitres?\nAnswer: 6649310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 6. Suppose q + 3*q = -188. Let r = q - -42. Let g(v) = 7*v + 5. What is r*g(x) + 4*o(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193.09um in centimeters?\nAnswer: 0.319309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(4\/15)*o)\/(o\/o**(-5\/2))*(o**(-1\/10)\/o)**(-5\/8) assuming o is positive.\nAnswer: o**(109\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (-16 - -17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/104 and -115\/56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01003617566 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -67. Let n(y) = -y**2 + 6. Let q be n(0). Let z = -4 + q. Solve z*a = -l*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/10)\/9*1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -10*f + 53. Suppose -5*h = f*x + 14, -x - h + 1 = 2. Solve j + 6 = x*k - 2*j, 4*j + 24 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.02 + -24.52. Let l = -36 - j. Let x = -14 - l. Round x to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65.07 or 0?\nAnswer: 65.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (364\/(-6))\/(2*4\/(-12)) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3106022146?\nAnswer: 2, 6833, 227281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216915 smaller than -0.641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3 - 16) + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/40 and 5\/44488?\nAnswer: 222440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 587 + -43560?\nAnswer: -42a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 6. Give i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*4)\/(sqrt(90)*5) + 5)**2 - ((sqrt(32)\/sqrt(2)*-1)\/sqrt(8) - (((sqrt(8)\/sqrt(4))**2 + sqrt(2) - sqrt(2))*6 + (sqrt(72)\/sqrt(4))\/sqrt(9))).\nAnswer: 10*sqrt(2) + 957\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*z**3 + 4576*z**2 + 422*z**3 - 9140*z**2 + 4566*z**2.\nAnswer: 6*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.0076 - -67. Round z to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or 20\/67?\nAnswer: 20\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 34*c - 1409. Let w(n) = -29*n + 1411. What is 6*o(u) + 7*w(u)?\nAnswer: u + 1423","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.1 + -12. Let s = 0.4 + i. Let x = 0.479 + s. What is x rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + h + 94 = -h, -2*o = 5*h - 50. Let q be (-8 + 1 + 1)*o\/(-4). Solve -3*l - 10 = -5*f - q, 3*f + 3*l - 3 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131227*0.16\nAnswer: 20996.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - j - 12 = 3*j, -3*o + 4*j = -10. Suppose -13*d**o + 8*d + 6*d**2 - 13*d**2 = 0. Calculate d.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 172347\/(-18) + (-1)\/6 + -3. Let d = 5952 + s. Let a = -1577 - d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6706887 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f**2 - 32 - 7 + 3*f + 24*f**2 - 21 + 37*f + 5*f**4 - 40*f**3 = 0. What is f?\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + j - 2. Let x(t) = 2*t**2 + 2*t + 2. Let d be x(-2). Let n be g(d). Let m be 6\/27 - n\/18. Calculate the greatest common factor of m and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**4\/4 + w**3 + 3*w**2 + 13*w. What is the remainder when i(-4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39711 - -2541591\/64. Calculate the common denominator of -57\/32 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.1 times 1.47?\nAnswer: 35.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 6*m. Let r be 20\/50 + (-8)\/(-5). Let y(g) = 2*g**3 - g - 4. Let j be y(r). Let s(k) = -7*k - 5*k + j*k + 0*k. Calculate -6*s(o) + 2*w(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2 - 3) + 7 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 27.5. Suppose 0 = -v - v + 18. Let q be 1\/v + (4 - 4). What is the second biggest value in q, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -205. Let n = 134 - g. Which is the nearest to n? (a) -0.2 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:58 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let u(l) = -2*l**2 + 7*l + 33. Calculate the remainder when u(4) is divided by x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 3*(sqrt(200) - (sqrt(200) + -1)) + sqrt(200))**2.\nAnswer: 120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:18 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let m be (201\/4 - s) + (-12)\/(-16). Suppose -m - 83 = -3*c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + z**2 - 3*z + 3. Let n be f(2). Suppose 5*c - 76 = -3*i, 2*i = -3*i - c + 90. What is the highest common factor of n and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112690588213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4*(-9)\/24). Factor 7*w - 2*w**x - 11*w - 3*w**2 + 20 - 11*w.\nAnswer: -5*(w - 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 15. Let o be p(-7). What is the highest common divisor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 3 in descending order.\nAnswer: 14, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (16 + -26 + 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**4\/24 - 626*z**2. Let d(x) = -4*x + 17. Give d(y) - 3*t(y).\nAnswer: -y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(-20874)\/(-852).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 14. Let y(a) be the third derivative of -a**5\/60 - 5*a**4\/12 + 5*a**3\/6 - 3*a**2. Calculate the remainder when y(-7) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 2. Let j = 39 + -39. Let w be i(j). Solve l + 2*l - 17 = 2*h, w*l + h - 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 26*p + 51 + 83 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.97378 rounded to 0 dps?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 34.15.\nAnswer: -17.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 + -169. Let w(d) = -1162502*d**2 + 6*d - 4. Let c be w(u). What is c rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/22 and -95\/138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 559802 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 616278853.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1782, 3708, 5634, 7560, 9486, 11412?\n\"Answer: 1926*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let w(o) = -636*o**2 - 68*o. Give w(t(y)).\nAnswer: -5724*y**2 - 204*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8775 + -3.9. What is t rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -153163, -306324, -459485, -612646, -765807, -918968?\n\"Answer: -153161*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*r = -2068, -361*r = 4*k - 359*r - 1672. Calculate the highest common divisor of k and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*c = 5, 2*v - 7*v - 2*c - 2 = 0. Solve -b + 1 - 6 = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1729\/21)\/(-19)*1674\/(-403)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2935*d**2 + 100*d + 37*d**3 + 2935*d**2 wrt d.\nAnswer: 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - (-5)\/(-10). Suppose 5*p - 9 = w. Let -2\/3*n**4 + 2\/3*n**p + 2\/3*n - 2\/3*n**3 + 0 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-6)\/32*(-104)\/468)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 2*s**3 - 2*s**3)*(37*s**2 - 7347*s + 7347*s).\nAnswer: -37*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12350 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572.8874 days in weeks?\nAnswer: 224.6982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/4))\/(n**(-1)\/n)*n*n**3*(n\/n**2)\/n assuming n is positive.\nAnswer: n**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 809135*t = 0 for t.\nAnswer: 0, 161827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5394, -5942, -6490?\nAnswer: -7038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 1856366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 16 = 5*z. Let s be 5 - ((-16)\/4)\/z. Suppose s*p - 8*p = -2118. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 4 (c) 1027 (d) -161.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 148 + 87 = 0. Let f be (1 + 0 - 0)*27. Suppose 5*a = -4*i + 25 + k, -i + a = -f. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -9\/3970, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*s**2 - 78*a**3 + 3*a**2 + 22*a*s**2 + 3*a - 6*s**2 wrt a?\nAnswer: 6*a*s**2 - 468*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -0.02.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1\/42*g**6 - 1\/28*g**4 + 2\/35*g**5 + 0*g**2 + 123 + 0*g + 0*g**3. Factor h(r).\nAnswer: -r**3*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -17*s**2\/2 - 2. Suppose 2 - 7 = 5*g. What are the prime factors of r(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6466545 and 10?\nAnswer: 12933090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266243, -266159, -266017, -265817?\nAnswer: -265559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 762, 0, 2 in increasing order.\nAnswer: 0, 2, 762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 85a (base 16) to base 6\nAnswer: 13522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 + 1\/6*d**4 + 0*d**5 + 0*d**3 + d + 0*d**2 - 1\/30*d**6. Find the third derivative of y(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1857, 3711, 5565, 7419?\nAnswer: 9273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let o(n) = 3*n + 8. Determine o(f(h)).\nAnswer: -6*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1077 in 5, -4, -3, 0, -94, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311321013000 (base 4) to base 9.\nAnswer: -28522320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -448\/3 + 148. Which is the biggest value? (a) g (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 21*w**2 - 1002*w + 504*w - 39 + 478*w. Calculate t(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from fxppfxpppfxs?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + 12*i**2 + 130*i - 27. Calculate q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b**2 + 2*b - 3. Let f be o(-3). Let h = 4 - f. Determine j so that -h*j**2 + 2*j + 0 + 0 + 2*j**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132879597 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9104 + -9103. Do -14\/163 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 373, 744, 1115, 1486, 1857?\n\"Answer: 371*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 6*z + z + 20*z. Let a(w) = 2*w. Determine a(y(k)).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 2, 0, -2, -4, -6?\n\"Answer: -2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 583819835 a multiple of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29 - (25 - 13) - -61653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f53 + 0?\nAnswer: -1f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17510 is divided by 199.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/5, 5\/6, -3, 1\/5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*j - 0*v - 6, 3*j = 5*v + 19. Suppose -j*s = -9*s + 12. Factor 1 + 8*o**2 - 11*o**s + 2.\nAnswer: -3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*t - t + 295, -4*r - 4*t + 280 = 0. Suppose r = 7*s - 2*s. 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 the derivative of -f**2 - 630*f + 156 wrt f?\nAnswer: -2*f - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 18, 2\/3, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 183675755?\nAnswer: 183675755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 11, q: 7}. Give prob of picking 1 r and 3 q.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0161103 to four decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2727 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -115\/26?\nAnswer: -115\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1504 = -2*f, -5*f + 1532 = 4*q - 10*f. What is the lowest common multiple of q and 16?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 52 + 1 + (76 + -66 - 20)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/954451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/(-24)*(-44)\/6. Let i = -52 + y. Suppose r = 5*z - 164, 3*z - z = -i*r + 69. Calculate the greatest common divisor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzb when three letters picked without replacement from {j: 3, x: 2, l: 3, z: 2, b: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 23 + 5 = 0. Suppose 5*p + 276 = -l + 3336, 5*p = 4*l + 3060. Suppose 7*r - p = -27*r. Calculate the smallest common multiple of z and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 2*b + 7. Let g be c(-5). Is (9 + g)\/((-1)\/(-62)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 3*q + 26 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 22.9. Which is bigger: 0.01 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335568 is divided by 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 2, d: 1, r: 6, z: 3}. What is prob of sequence dcdc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2226\/115, -10.5, 1, 5 in decreasing order.\nAnswer: 2226\/115, 5, 1, -10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqmmromqmxmxoqrqmxox. Give prob of picking 1 q, 1 m, and 1 o.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2422515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9701 - -12005. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.00127 + -0.0020336. Round v to five dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732965545 divided by -65\nAnswer: -11276393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 63972*y - 12346601. Give n(193).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose -3*r = -o*t - 30, 35 = 3*r - t + 5. What is the remainder when (5\/((-125)\/20))\/((-6)\/135) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22023012 - -13113?\nAnswer: -22003233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979561490 to the nearest integer?\nAnswer: 44492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4185.009682 - -4185. What is s rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1 times 9.6?\nAnswer: 327.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2175 = 4*k, -2*d + 13*k - 8*k = -4344. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1050533.9 or 0?\nAnswer: 1050533.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 21*x - 9. Let p(d) = -d**2 - 13*d - 2. Let c(v) = 6*o(v) - 11*p(v). Determine c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113121221 (base 5) to base 7\nAnswer: -4264402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 396212 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h + 38*h = 556939 - 26640. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 6 + -3 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.53465 from -659.19899.\nAnswer: -659.73364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517193 (base 14) to base 13.\nAnswer: 7524b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340304736?\nAnswer: 2, 3, 3544841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 327, 1033, 2123, 3603, 5479?\n\"Answer: k**3 + 183*k**2 - 228*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 3. Let j = -42 - -15. Let s be 25\/(-9) + 6\/j. Determine m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -v*z = -3*z - 2. Suppose -4*y + z = 2*q - 0, 4*y + 1 = -q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2095 and 19.15?\nAnswer: 40119.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 46*q - 4. Let r = -41 + 49. Suppose -r*d + d + 21 = 0. What are the prime factors of p(d)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1981 - 1981.2. Which is the closest to 0.09? (a) 1\/4 (b) 19 (c) y (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 323689926?\nAnswer: 323689925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 - 120*c**2 - 50*c - 2.\nAnswer: 12*c - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/3 + 3*o**2 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 0. Let r = -7 + -28. Let f = -33 - r. What is the nearest to -1 in f, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**9\/60480 - d**8\/2880 - d**6\/144 + 73*d**5\/60 + 10*d**2. Let c(v) be the third derivative of f(v). Determine c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138101737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 21. Let r(b) = -b + 9. Let u(y) = y - 10. Let k(l) = -4*r(l) - 6*u(l). Let p(h) = 6*f(h) + 5*k(h). Calculate p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*p**2 - 27*p**2 + 110*p**2)*(5*p**2 - 4*p**2 - 3*p**2) to the form m*p**3 + z*p**4 + l*p + y + s*p**2 and give z.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.7. Let c = q + 1. Let i = 277\/153 - 27\/17. Put c, i, -2\/9 in descending order.\nAnswer: i, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000852 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289343606\/2170077 - 2\/723359. Factor 4\/3*t**2 + 110\/3*t - r - 2\/3*t**3.\nAnswer: -2*(t - 5)**2*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(7200) - sqrt(7200))*6)\/(sqrt(10)*-3*-6 - sqrt(10) - (sqrt(160) + (sqrt(160) + -2*sqrt(160) + sqrt(160) - sqrt(160)))).\nAnswer: 864*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -3 - 6 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 86. Suppose -o = -3*o + 10. Let m be (-6)\/p - 71\/o. Are m and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -12 - (-21 + 27)) + -111 + 0 + 7.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, and 1 l when three letters picked without replacement from eggcqlckqkckcek?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + 1 + -3*2*sqrt(72))**2 + ((sqrt(72) + sqrt(72) + -2 + sqrt(72))*-2 - (-4 + sqrt(72) + -2))**2.\nAnswer: -696*sqrt(2) + 6223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.25189 litres?\nAnswer: 18251.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 5*w + 77 = -6*z, -2*z + 5*w = -139. Let r be (-18)\/12*z\/(-81). Solve r - 4\/3*o - 3*o**2 + 5\/3*o**4 + 7\/3*o**3 - o**5 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(972) - sqrt(972))\/(-2*sqrt(150)).\nAnswer: 27*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/9 - 37100*m\/9 + 41200 = 0. Calculate m.\nAnswer: 10, 18540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -3\/2, 2, 3\/2, 7, 1381.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 20, -q - 8 = -4*l. Let c be 4\/l - (16\/(-3))\/8. Solve -3*t = -k + 4, -t - c*k - 13 = -0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:51 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4062 - 0?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34543, 69096, 103657, 138226, 172803, 207388, 241981?\nAnswer: 276582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(112) - ((sqrt(168)\/sqrt(3))\/sqrt(8))**2).\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y - 26*y + 28*y**2)*(-26*y**3 + 456*y**2 - 456*y**2) + (-4*y + y + y)*(y**4 + y**4 + 0*y**4).\nAnswer: -732*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 52*d + 1640. What is l(-20)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*m**3 + 1 + 1 + 2 - m**3 + m**3 - 5*m**3 + 3*m**3 + 2*m**3 + 2*m**2 - 2*m**2 + 1 - m**3 - 1 + (-2*m + 2*m**3 + 2*m)*(1 - 4 + 1).\nAnswer: -2*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 + (-221)\/(1885572\/(-5904)).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 10*m**3\/7 - 1016*m**2\/7 + 25602*m\/7 + 10404\/7 = 0.\nAnswer: -2\/5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 628797*w**2 + 5659356*w - 12576480 = 0. What is w?\nAnswer: -209608, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7144371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -4)*(18 - -14). Suppose -2*x + 16 + 56 = 3*i, -4*x - 2*i = -b. What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 298421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29685944 + 2155248.\nAnswer: 31841192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b9 (base 15) in base 7?\nAnswer: -5046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5677 - 5673. Solve -t = 3*l + 2*x, 5*l + x = 6 - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 3*p**3 - 5*p**3 - p**3 + 2*p**3 - 3*p**3 + (-724 + 724 - 157*p**2)*(7*p - 3*p - 3*p) + 2*p**3 - 3*p**3 + 0*p**3.\nAnswer: -159*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 65. Let z = 65 - l. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*h**2 - 14*h + 14*h.\nAnswer: -68*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50979011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 + 5 = 0. Let o be (-6)\/(3 + (-72)\/20). Let k(r) = -r**3 + 11*r**2 - 10*r + 8. Let l be k(o). Calculate the highest common divisor of x and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**4 + y**2 - 4*y**4 - 6683*y**6 + 17*y + 6676*y**6 wrt y?\nAnswer: -840*y**3 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w - 14. Let f(v) = 11*v - 14. What is 3*f(q) - 2*x(q)?\nAnswer: 3*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose -c = -4*b + 9. What is the third derivative of 2*p**5 + b*p**2 - p**5 - p**2 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51491933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103952*f*r*s**2 - 27*f*s - 137*r*s**3 + 3*r + 5*s**3 + 38*s**2 + 115 with respect to r.\nAnswer: -103952*f*s**2 - 137*s**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n - 144 = -134*n. Let v = 134 - n. Suppose -v = -j + 13. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.066*1.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*r**3 - l**2*r**2 + 64*l**2 - l*r + 31*r**3 + 1187 wrt r?\nAnswer: 12*l**2*r - 2*l**2 + 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 34 = -i - i, -4*i - 10 = -5*q. Suppose 0 = q*t + t - 63. Solve 12 = 2*v - 2*r, 3*v - t = v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*(w**3\/w)\/w)\/w)**(5\/4)\/(w**(-9)*w\/((w*w\/w**1)\/w)*w*w))**4)**(3\/17) assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 191 = 461 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from ssyssyssssssyysy.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (196\/(-2646))\/(3\/4). Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 6)\/(6\/(-63)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64766771083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 3\/2 (c) 4\/1029 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*h - 17, y + 4*y - 5*h - 25 = 0. Let k be (-3)\/(-14)*8\/y. Put k, 0.04, 0.2 in decreasing order.\nAnswer: k, 0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let t(q) = -67977*q + 35147*q + 36509*q. Calculate t(r(i)).\nAnswer: 3679*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1998 and 216.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12955429.7 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (9 - 80 - -49)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let g(f) = -28942*f. Give g(o(d)).\nAnswer: 57884*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-8) - 551\/760. What is the closest to -0.18 in 0.5, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3080)\/105*(0 - 102\/4) and 14?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, w: 2, r: 2, v: 1, g: 2}. Give prob of picking 1 g and 1 i.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -j. Let q = -6 - -1. What is the second biggest value in j, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 12 = v, 5*v + 40 = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.3 - -18.3. Let i = 19.7 - -10.3. Let v = i - l. What is the second smallest value in -1, v, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 3}. What is prob of sequence nsnn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3*h**3 - 55*a**3*h + 247*h**3 wrt a?\nAnswer: -3*a**2*h**3 - 165*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvd when four letters picked without replacement from mddmvmmd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:27 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 11*d**2 + 9*d + 20. Let h be s(-6). Suppose 0 = v + v - 2. Solve -3*t + h = -v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12\/5)*a\/(a\/(a**(3\/23)\/a))*(a**25)**(-7\/3) assuming a is positive.\nAnswer: a**(-21253\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*c + 946 - 946)*(1 - 2*c**2 - 1).\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2030 and 8577.\nAnswer: -17411310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1053 greater than -13686\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47615.99 rounded to the nearest one hundred?\nAnswer: -47600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 346554013?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 333\/540 + (-6)\/8. What is the fourth smallest value in -3, c, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 98 = 20*f. Solve -6*k + f*k = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -488 - -10262?\nAnswer: 9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*b - 37, 4*b = 3*w - 4 - 16. Let h = 11 - w. Suppose a = -2*l + 66, l - 4*a = h*l - 54. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -4678\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + z - z + (3*z + 3 - 3)*(-1 + 3 - 1) + 2*z - 2*z + 2*z - 6*z + 2*z + 3*z to the form i + v*z and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + 5. Let b(t) be the second derivative of 2*t**5\/5 + 3*t**2 - 6*t. Determine -5*b(n) + 6*r(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 51\/41600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/106272711?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 14, -5*j - 385 = -4*z - 433 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 1 - sqrt(208)) + -5 + 2 + (1*sqrt(208))**2 + sqrt(208) - (-1 + -4 + sqrt(1053) + 1).\nAnswer: -5*sqrt(13) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/12 + 100\/(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3)*3 - (sqrt(12)\/(3*sqrt(4)) - sqrt(3)))**2 - (0 + (3 + -1*sqrt(3) + sqrt(3))**2)*3.\nAnswer: 175\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4, -3*j + 197 = -2*j - 6*j - l - 4*l - 223 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/5)\/(954\/2385))\/(8\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148070089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(a + a + 0*a)*(4 - 1 - 1)*(0*a + 1 - 16 + 2*a) in the form i*a + v*a**2 + x and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-37)\/v)*v\/v**(-1\/9)*(v\/(v*v\/v**(-24\/11)*v))**(-39) assuming v is positive.\nAnswer: v**(20117\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 0*c**2 - 7*c**2 + 0*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**1\/f*f)\/f)*f*f\/f**7)**(-5\/16) assuming f is positive.\nAnswer: f**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 15*b**4 + 136400*b**3 + 2632220*b**2 + 6895600*b - 5807360 = 0?\nAnswer: -9074, -16, -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**2 - 9*a + 13. Let d be 1\/(2\/5)*-2. Let t(j) = -4*j**2 - 4*j + 6. Let k(c) = d*t(c) + 2*v(c). Factor k(n).\nAnswer: 2*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 0*l**2 - 6*l + 4*l**2 - 4*l**4 + 8*l = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 1, s: 5, m: 1, o: 4, q: 1, u: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7048 + -7008. Solve -s*p - 12 = -28*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 23 - 41 + 4*m)*(-5*m**4 + m**4 + 3*m**4).\nAnswer: -4*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5*j**2 + 4)*(-5*j**2 - 136*j**2 - 157*j**2).\nAnswer: -1490*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1857 divide 1517904372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, t: 2, h: 4, e: 6}. Give prob of sequence dd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/3957840 and 119\/174.\nAnswer: 114777360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.8 + -16164672?\nAnswer: -16165322.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4 - 1. Let w be ((-70)\/(-42))\/((-1)\/l). Suppose -w*z = -11*z + 36. What is the lowest common multiple of z and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-360))\/(14\/21). What is the closest to -2\/9 in 3, d, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(4386\/340)*(-3 + 364\/40).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 12*z - 6. Let y(x) = -2*x**2 + 25*x + 13. Let a(b) = -13*s(b) - 6*y(b). Let v = 42 + -39. What are the prime factors of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*z = 1, 0*f - 4*z = -2*f + 2. Let t be -43 - f - 1*(0 - 2). Let y be t\/16*12\/(-10). Solve -3 = -y*d - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-2) + 0)\/((-5)\/(-50)*-5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50791, -101586, -152381, -203176, -253971?\nAnswer: -304766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2. Let p(g) = g**3 + 2*g**2 + 2*g + 1. Let a be p(-1). Let b(r) = 2*r - r + a*r + r. Calculate b(y(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 18. Let k = 22\/3 - s. Let h = 89 + -448\/5. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f - 4*t = 83*f + 7, f - 2*t = -19 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24.5 (b) 4 (c) 0.1 (d) -53 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4624*c**3 + 4352*c**2 + 268*c + 4.\nAnswer: -4*(c - 1)*(34*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 57. Let s(m) = m**3 + 2*m**2 - 11*m - 8. Let r be s(t). Solve -r*a + 18 = -2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 + 4 = 0, 4*z - 20 = -4*v. Calculate the highest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18301299 is divided by 9673?\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**3 - 25*u**2 - 7*u + 8. Let t(s) = -3*s**3 - 6*s**2 - 2*s + 2. Let o(v) = 9*t(v) - 2*w(v). What is the units digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430 and 193600.\nAnswer: 8324800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -899*m + 855*m = -44. Let x(w) = 4*w**3 - w**2 - 2*w - 1. Let c be x(2). Let y be (0\/(-4))\/(1*-2). Solve -3*v + c = -5*d + d, y = -v + m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1732888*s**2 + 8*s + 1732884*s**2 + 8*s in the form m + w*s**2 + v*s and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 41*t - 2613. Let x be n(64). Suppose -5*i + 3*f + 45 = 0, -i = -0*i + 4*f + 14. Solve -i*m + 17*m + x = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128 + 120.4. Let w = p + 4.6. Let h = 0.3 - 1.3. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1.49, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385804295 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z - 4. Let t = -89 + 86. Let f(n) = -14*n - 12. Calculate t*f(d) + 8*m(d).\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 14*r - 20. Let i be o(-10). Let d(j) = -j - 5. Let v(x) = x**3 - x**2 + x - 8. Let y be v(0). Let w be d(y). Solve w*u = -u - i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 - 2*t**2 + 5*t + 5. Let q(w) = -w**3 - w - 1. What is -5*q(z) - r(z)?\nAnswer: -5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = 2*s. Let r be 3 + -1 + 64\/(-36). Put -2\/7, s, r in ascending order.\nAnswer: s, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or -63019?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 + (-260)\/(-390)*42\/8. Let j(x) = -x + 1. Let n = 4 + -3. Let u be j(n). Solve u = 4*t + 1 + a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**5 + 1\/270*s**6 - 1\/54*s**4 + 0*s + 0 - 1\/27*s**3 - s**2 + 1\/945*s**7. Suppose p(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -125, -272, -493, -800, -1205, -1720, -2357?\n\"Answer: -2*h**3 - 19*h**2 - 14*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604824 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (-1 + -12 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + t + 50 = 0, 16*t - 13*t = 4*o - 40. What is the remainder when 26 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 47. Let w(q) = -2*q + 46. Calculate -4*w(i) + 3*x(i).\nAnswer: 2*i - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0483 minus -4009?\nAnswer: 4008.9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168.98 + -169. Which is the second smallest value? (a) -0.2 (b) o (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 - 12*f**4 - 18*f**3 - 12*f**2 - 3*f.\nAnswer: -3*f*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s*((s**(-3)*s*s)\/s)\/s*s)*s))\/((s**(-1\/6)\/s)\/s))\/(s\/(s\/s**(-15)*s*s)*s**7*s) assuming s is positive.\nAnswer: s**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-2*(sqrt(136) + (sqrt(136) - -6*sqrt(136)*-1)))\/((sqrt(392) - (-5*sqrt(392)*-1 + sqrt(392)) - sqrt(392)) + sqrt(392) + sqrt(392)))**2.\nAnswer: -2545\/49 - 60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 40. What is the nearest to 0.03 in d, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662 times -377\nAnswer: -249574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 38, 67, 108?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 7137*n**2 + 14271*n - 6 = 0.\nAnswer: -2, 1\/2379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 36 = 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 1)*(-l - 1 + 1 + (4 - 2 + 0)*(-3*l - 4*l + 5*l) + l - 3*l + 0*l).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 16842?\nAnswer: 5\/5614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 4706103?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0039 + 11.\nAnswer: 11.0039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72547, -143962, -215379, -286798, -358219, -429642, -501067?\n\"Answer: -t**2 - 71412*t - 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 168. Suppose 4*c = 2*c + o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.4 + -7.5. Are s and -22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**7\/7 + 19*h**5\/10 - h**4\/6 - 38*h**3\/3 - 282*h. What is the third derivative of r(m) wrt m?\nAnswer: -360*m**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/(-6))\/(1859740\/185970 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + 39. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqsqq. Give prob of picking 2 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2968\/196983 - -2\/4581. Let t = g + 6571\/516. Find the common denominator of -49\/44 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000703525 to 7 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4967402?\nAnswer: 2, 11, 23, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 2*m**2 - 1. Let o be l(2). Suppose 2 = a - o. Let g = -1 + a. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = -4*o. Is o < -46\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:24 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/4)\/o)**(-10))**(1\/18))**(-1\/41) assuming o is positive.\nAnswer: o**(-5\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -2. Let c = 2 + u. Let w = 19\/39 - 2\/13. What is the closest to -0.1 in c, w, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*q + 11 = 0, -2*c + 5*q = -5*c + 29. Suppose 2*n - 3 = x - 1, -x + c*n = 3. Put x, 1, -2 in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 22*q + 27. Let v be a(23). Suppose 6*z = v + 70. Let j(s) = s**2 - 5*s + 5. Let r be j(5). Solve r*d + z = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.13. Let p = x - -0.04. Which is the nearest to p? (a) 0.3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywcycppypxy. Give prob of picking 1 p, 2 c, and 1 w.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**3 + 222*a**2 - 1457*a - 73. Give z(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 + 5*s + 3*s - 6*s - 9 + 14 in the form y*s + k*s**2 + d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.088 + -0.088. Put k, 70, 2\/3 in descending order.\nAnswer: 70, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 27. Let g be m(36). Which is the second smallest value? (a) 2\/13 (b) -1\/2 (c) 2\/11 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + (-4 + 4 - -7 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/((-2365)\/(-132)))\/(2\/120*16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.506557 to two decimal places.\nAnswer: 483.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c. Suppose -4*q - 60 = -9*q - p, c = p - 5. Calculate the remainder when 29 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -61.9953. What is n rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13761965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1186203501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49\/12 + 15\/4. Suppose 0 = -10*n + 5*n + 5. Let o(s) = 3*s**3 - 2*s**2 + 1. Let b be o(n). Put r, -4, b in descending order.\nAnswer: b, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 13 + 13. Let t = 36 - i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/24)\/(2\/12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19*(1 + -2) - -2. Suppose 0 = -4*i + f + 7. Suppose 56 = 4*u + 2*z, -2*z = -99 + 87. What is the remainder when u is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 24 = 4*x, x - 3 = 4*i - 2*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001845 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 22 = -3*q + 21, -2*q - 3 = 5*k. What is the highest common factor of 25 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k**4 - 1050550*k**3\/3 + 7665294196*k**2\/3 - 14900650280*k\/3 - 851472400\/3 = 0.\nAnswer: -1\/18, 2, 14590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-1 - -3)\/1). Let u(x) = -2*x. Let m be u(i). Suppose -24 = -d - m*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -66724352*j**7\/105 - 877952*j**6\/15 - 11552*j**5\/5 - 152*j**4\/3 - 2*j**3\/3 - 2*j**2 - 289. Find u, given that m(u) = 0.\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 18. Let o(c) = -c + 18. What is -4*n(r) + 3*o(r)?\nAnswer: 5*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -0.19, 0.2, 0.3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 123, -0.2, 0, -17 in decreasing order.\nAnswer: 123, 2, 0, -0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552205 is divided by 184011.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 8, a: 2, y: 1, g: 3, b: 2}. What is prob of picking 2 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18116711, -3, -5 in decreasing order.\nAnswer: 18116711, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 2*o**3 + 44730 + 7*o - 44730.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2655390 and -125\/36?\nAnswer: 15932340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/15*(3 - -16). Let i = -4 - l. Let t = -3 - -4. Which is the biggest value? (a) t (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1025 and 3069096.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-10 + 8 + 10 + -10 + -5) - -48?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(-16)\/84*-7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44161, -44170, -44193, -44236, -44305, -44406, -44545, -44728?\n\"Answer: -i**3 - i**2 + i - 44160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -151. Suppose 12 = 4*p, -4*f + 3*f - 5*p + 433 = q. List the prime factors of f.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 2. Let v be r(9). Suppose -2*k + v = -k. What is the tens digit of k\/2 + (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388315 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6662 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1020*(-811)\/69. Let p = b + 2\/765. Put 2\/3, p, 0 in decreasing order.\nAnswer: 2\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66873 is divided by 1520.\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*b - 660 = -313*b. Let r(g) = 2*g**3 - 81*g**2 + 39*g + 41. Let v be r(40). Which is greater: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -3*s**4\/8 + s**3\/6 - 5*s**2. Let p(a) = 10*a - 1 + 2 - 2. Let u(c) = -6*p(c) - 7*r(c). What is the derivative of u(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h + 1. Give a(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, a: 4, h: 2, y: 4, g: 2}. Give prob of sequence gaah.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3536613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 7*j**2 + 4*j - 8. Let k = 10 + -6. Suppose 10 = h - 9. Suppose -h = k*i + 5. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 719632, 2878524, 6476692, 11514148, 17990904, 25906972?\nAnswer: 35262364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128582*u**2 + 99394*u wrt u.\nAnswer: 257164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 752526 and 16053888?\nAnswer: 48161664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = o - 5*y + 5, -3*o + 13 = 2*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/(-20) + 204\/272?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((4\/(-3))\/(1372\/(-1029)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1009*i**2 - 799131*i - 2376 = 0?\nAnswer: -792, -3\/1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:14 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585429.6 millennia to months.\nAnswer: 7025155200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 260424?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1367 = -2*a - 183. What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 2068?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 2*c**2 - 2*c + 1. Let b be j(-2). Suppose -515*a + 12085 + 13603 = 936*a + 525*a. Calculate the greatest common factor of a and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-3.23.\nAnswer: -6.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 760163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052475698 to seven decimal places.\nAnswer: -0.0005248","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:50 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -294*k - 12. Let g be c(-2). Suppose -5184 = g*b - 582*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjjjtt. What is prob of picking 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -4 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13 + 24 - 3195*x**3 + 1687*x**3 - 7.\nAnswer: -1508*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -39999 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + sqrt(891) + 5 - (0 + sqrt(891) + 0))**2.\nAnswer: 90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1033*f**3 + 20*f**2 - 6*f + 5. Let o(w) = 1549*w**3 - 32*w**2 + 10*w - 8. Determine 8*n(g) + 5*o(g).\nAnswer: -519*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230124244021 + 1?\nAnswer: 230124244022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.077, -1, -0.1, -0.4 in descending order.\nAnswer: -0.1, -0.4, -1, -14.077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 n when three letters picked without replacement from vnvvvvvnnvownn.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + f - 1. Let p be a(6). Suppose -z + p*z = 24. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 174. Let p(s) = 20*s**3 - s - 1. Give p(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309518981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 26 + 6. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - 2) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, v: 5, a: 2, e: 5}. What is prob of sequence avhh?\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4511 + 0.5489. Sort 5, -21\/20, i.\nAnswer: -21\/20, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Suppose -3*c = -2*c - 5*r + 11, -8 = c - 2*r. Let x = 25 + c. Let q(k) = -x*k**2 - 5*k**2 + 2*k**2. Determine q(w(n)).\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164312620.\nAnswer: 2, 5, 971, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 + 394*q + 2222. What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 4*o - 621091 = -5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17)*-5 + 3 + 5 + (sqrt(17) - (sqrt(68)\/sqrt(4) - sqrt(17))) + -3 + 3 + -2*(sqrt(17) - (sqrt(17) + -5)))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 6, -21806, -15 in descending order.\nAnswer: 11, 6, 3, -15, -21806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3776 and 3037792?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*s = 1 - 21, -4 = -2*l - 4*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4071 or 1?\nAnswer: 2\/4071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-57625)\/(-9220)*((-12)\/(-15))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3099 and 3.\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -637*k + 1. Let l(o) = -834*o - 5. What is l(i(y))?\nAnswer: 531258*y - 839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*a + 2*u - 24, a + 4*u + 21 = 0. Let j(h) = h**2 + 5*h - 1. Let p be j(a). Suppose 3*y - 17 = -2*c, 3*y = -2*y - 2*c + p. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:46 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0644 - -0.0956. Which is the nearest to 0? (a) m (b) -0.5 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2. Let x(f) be the third derivative of 0*f**3 + 0*f + 0 + 10*f**2 + 1\/60*f**5 + 0*f**4. Calculate x(u(q)).\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22 - (2 - (5 + -3)). Suppose -3*a = -m - 2. Let q = a + -7. Let w(i) = -10*i - 1. Determine w(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*z**3 - z**3 - z**3 - 2992 + 33 - 2*z**3 - 864*z wrt z.\nAnswer: 6*z**2 - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/540 - a**5\/135 - a**4\/108 + 14*a**2. Factor i(y).\nAnswer: -2*y*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15721 - 15717. Sort -2\/31, d, 0.1, 2\/23, -1.\nAnswer: -1, -2\/31, 2\/23, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/72 + 1\/4. Let q be (12\/(-147))\/((-2)\/7). What is the third biggest value in n, q, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**2 + 14*u**2 + 6*u**2 - 6*u**2 - 216*u = 0. What is u?\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 272*d + 13. What is t(1)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 14, t: 4}. Give prob of picking 2 t and 1 k.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463653323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*t - 103 + 625. What is the greatest common divisor of 36 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2\/((-68)\/(-12) + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 108, 161, 214?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let l be o(-2). Let f(b) = 2*b - 1. Let u(r) be the second derivative of -r**3\/3 + r**2\/2 - 3*r. Give l*f(q) + 7*u(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 + b + 2. Let o be -1*2 - (2 - 4). Let p be d(o). Find the third derivative of -p*g**2 + 0*g**2 + g**3 + 3*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 11) in base 12?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205841476, -411682952, -617524428, -823365904?\nAnswer: -1029207380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 19 + 11 = 0. What is the least common multiple of 4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, -3\/2, -5, 2\/12227, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 v when four letters picked without replacement from vzzvvvvvzvvvzzvvvzz.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) 65 (b) 214 (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006693302602 to five dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/((-972)\/(-216)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 18*m - 8*m**4 - 18*m**3 + 2 + 9 - 5 + 26*m**2 - 24 = 0.\nAnswer: -3, -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -589*-0.21246\nAnswer: 125.13894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 80*z - 2551. Let b be d(32). Solve b*f - 18 = -9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 4*y)*(2*y**2 - 4*y**2 + 0*y**2 + (-2*y**2 - 3*y**2 + 6*y**2)*(-1 + 3 - 3) - y**2 - 8*y**2 - 5*y + 11*y**2).\nAnswer: -y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 321 = -5*p + 306, 4*u - 4*p = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 > -4\/999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1726 times -16\nAnswer: 27616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 7. Let z be b(-10). Differentiate -2*h**z - 4*h**3 + h**3 + 4 + 3*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 132. Suppose -14*q = -t + 77. Let u = -5\/17 + 3\/68. What is the second biggest value in q, 0.6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 26*p + 27. Let t be k(12). Let z be (-183)\/99 + t - (-6)\/33. Let x(a) = a**2. Let j be x(-1). Is z at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-45) - 118\/(-15). Let a = 20 - y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (239 - 234)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -35, 51, 181, 361, 597?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*1.52.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.16262 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(4719) - sqrt(4719)) - sqrt(4719) - (sqrt(4719) + 3*1*sqrt(4719)))\/(-4*((sqrt(363) - 1*sqrt(363)) + sqrt(24)\/(sqrt(128) + sqrt(8)))) + 5.\nAnswer: -385*sqrt(13)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30)\/9 + 1\/3 - -45.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11794 and 22.\nAnswer: 129734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610978441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = -3 + 23. Which is bigger: t or 6\/121?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 536432192*n**2 - 133366093 wrt n?\nAnswer: 1072864384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 4, a: 1, q: 5, i: 2, o: 1}. Give prob of picking 2 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.385 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671061 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose 0*p + 3*p = -x - 8, 0 = -3*p + x + 2. What is the units digit of (5 - -1*i) + p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2490*p**3 - 42*p**2 + 25*p + 157. Let i be c(-21). What is i rounded to the nearest one hundred thousand?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00203781912 to 6 decimal places.\nAnswer: -0.002038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*t + 20, 22 - 2 = 4*t - 5*v. Let b(o) = -5*o**3 + 4*o**2 + 3*o + 7. Let l(d) = 9*d**3 - 7*d**2 - 5*d - 13. Give t*b(m) + 3*l(m).\nAnswer: 2*m**3 - m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, n: 4, g: 1, s: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698706 is divided by 1020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4378 and 21\/4?\nAnswer: 8756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 111 = 3*u - 438, -l + 3*u + 93 = 0. Suppose g + l = 4*g. Suppose w - p - 6 = -3, 3*p - 23 = -5*w. Solve 3*h + w*a = g, 3*a - 2*a = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 2)\/(1\/(-2)). Let k be l - -2*(-3)\/(-6). Find the third derivative of -38*r**2 - 11*r**k + r**5 + 48*r**2 wrt r.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6009957 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m - 9. Suppose 56*k + 9 - 13 = 52*k. Find the first derivative of m*w - 43*w + 6 - k + 9 wrt w.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1)*2 + -4 + (-2 + sqrt(125) - sqrt(125))**2 + sqrt(125) - ((3 + -1 + sqrt(125))*6 + 3).\nAnswer: -15*sqrt(5) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 620 + -672. Let j = 0.108 - 54.108. Let n = s - j. Which is bigger: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13083916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgggygdguugygdyzyz. What is prob of sequence uddz?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(180) - sqrt(45))**2 + (-1 + sqrt(125) - sqrt(125))**2).\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 + 8*y - 9. Let l be d(5). Suppose 0 = -2*k + l - 23. Suppose -4*z - k = -5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let m be (130\/39)\/(l\/(-3)). What is k in -12*k - m*k**2 + 10*k**2 + 9*k**2 - 2*k**3 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*z - 992167 = 3*z, -2*z = -o + 248043. Suppose 0 = 5*r - o - 12269. Let u = r - 115062. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*m - 2442 = -92*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0876 + 0.0124. Which is the nearest to -0.5? (a) -2 (b) -0.4 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 27?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 2}. What is prob of sequence sg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v + 1)*(1 + 0 + 1) + 5*v - 3*v + 0*v + 0*v - 2*v - v + 11*v + 38 - 10*v - 11.\nAnswer: -6*v + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2300 is divided by 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 763347 at most 5343439\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 5*a = -138, -4*k + 4*a + 304 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + (-336)\/(-36))\/((-4)\/(-78)). Which is the third smallest value? (a) 0.1 (b) -4\/5 (c) j (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) 28 (c) 5 (d) -1.2 (e) 0.41 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 41.1.\nAnswer: -123.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14798 = 2*g + 4*v, 0 = -g - 195*v + 194*v + 7396. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 346 + 12 + -12 + -3. Is b less than or equal to 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwwnwnwwnwwwww. Give prob of sequence wj.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -36, -52, -68, -84?\n\"Answer: -16*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 8*x**2 - 2. Let c be f(8). Let g be 4 - c - (-2 - -3). Solve 35 = -5*r - g*h, 2*r + 4*h + 9 + 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4366084197.\nAnswer: 3, 131, 11109629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 11*z**2 - 12*z + 2. Let y be q(12). Let w = 14 + -18. Let o = 10 - 7. Put y, o, w in descending order.\nAnswer: o, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -2\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -41. Is y <= 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/25 and -0.237 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = n - 6, 2*s = -2. Suppose -6 = -x - n. Suppose 4*p = x*z - 21, -z = -2*p - 3*p - 21. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-518)\/(-20))\/37)\/((-42)\/(-72)))\/((-465)\/(-50))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 - 47*c + 203. What is w(6)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7112725 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 1276*o + 52806.\nAnswer: -2*(o - 39)*(o + 677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - 3*(sqrt(300) + 4*sqrt(300))))\/sqrt(10)*-6)\/(-2*sqrt(50)\/(sqrt(55)\/sqrt(11)*1)).\nAnswer: -39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2 - 5 + 8 - 10*t. Let m be b(-2). Solve -m - 4 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4)\/z)\/z)**45\/(z\/(z*(z\/z**(-1)*z)\/z))**(7\/12)*((z\/z**(-1\/10))\/z**(1\/4))\/(z**0\/z)**15 assuming z is positive.\nAnswer: z**(-2527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/24)\/((-1)\/(-24)). Let t = -16 + k. Let q be 4\/(-14) - t\/14. Solve -5 = -q*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1534, -5, -6088 in decreasing order.\nAnswer: 1534, -5, -6088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -9, 186, -3, 5, -21 in increasing order.\nAnswer: -132, -21, -9, -3, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4 + 0*c**2 + 3 + 5*c**2. Let a be z(-1). Suppose a*n - 24 = -0*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (14\/6)\/7*-3. Suppose 4*d - 10*o = -7*o + 5920, -f*d + 5920 = 2*o. List the prime factors of d.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 392915444.4 to the nearest one million.\nAnswer: 393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eervwfk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 23*l**2 + 120*l - 91. Give v(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -229100 divided by -9164\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - -6. Let q = -109 + k. Suppose 2117 = q*t - 4595. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 - 16\/(-10)). Let v(b) = 8*b**2 - 243*b + 98. Let t be v(30). Solve 3*l - p*l - t = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6 and 6.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 7*o = 8, 5*h - 20*o + 9 = -24*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20677 and 24650?\nAnswer: 17575450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + x + 11. Suppose -2*t - v = 2*v - 177, -5*t + 400 = -v. Suppose t*r - 76*r = -110. Let g(z) = -z**2 - 1. Determine r*g(c) - 2*d(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, y: 1, o: 1, d: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5*n + 100317*b**4 - 136*b*n + 8*b + n + 2 wrt b.\nAnswer: 40*b**3*n + 1203804*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 116. What is the remainder when 56 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 150*q**2 + 1162*q + 786. Give c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 23051016*m - 46102016.\nAnswer: -4*(m - 5762752)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101110 + -10?\nAnswer: 1010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13 - 6*m**2 + 3*m - 17 + m. Let o(l) = l**2 - l + 1. Let y = -2 - -7. What is y*o(i) + a(i)?\nAnswer: -i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 3. Let o be z(7). Let q(k) = o*k + 0*k - 2*k**2 + k**3 - 4*k**2 - 8 + 0*k**2. What is the units digit of q(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x + 2*x**3 + x**2 + 7\/3*x**4 + 0 + 8\/5*x**5 + 2\/21*x**7 + 3\/5*x**6. Factor t(c).\nAnswer: 2*(c + 1)**4*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53600780423591 minus -2?\nAnswer: -53600780423589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6136194585231 from 0.08.\nAnswer: 6136194585231.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10091002 is divided by 75.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/120 - 7*f**5\/60 + 7*f**4\/24 - f**3 + 5*f**2. What is u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 12*z - 7. What is the smallest common multiple of 80 and w(3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:37 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -37\/2. Let i = -8\/49 + -17\/196. Sort i, h, 0.5.\nAnswer: h, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 - (-149 - -148) - -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3\/5 (c) -3 (d) 1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4*o + 1)*(22 - 6*o - 22) in the form y*o + h*o**2 + q and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131991 and -468.\nAnswer: 61771788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 21 - -1 - (10 - (-11 + 25))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 749, 1480, 2197, 2894, 3565, 4204?\n\"Answer: -l**3 - l**2 + 741*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u + 29. Let r be i(-3). Let g(h) = h**3 + 4*h**2 + 2*h. Calculate g(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**2*w**3 + 50082*r**2*w**2 + 71*r*w - w**3 + 1607*w**2 - 2 wrt r?\nAnswer: 2*w**3 + 100164*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 6*r**5\/7 + 20207*r**4\/7 + 696102*r**3\/7 - 1650356*r**2\/7 - 1736604*r\/7 - 369963\/7 = 0.\nAnswer: -3333, -37, -1\/2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158418 and 167183796?\nAnswer: 501551388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206270 divided by -5?\nAnswer: -41254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtnt. What is prob of sequence ttn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3378 divide 937030343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 29*k + 5. Suppose 0 = j - 5 + 1. Let g be w(j). Suppose -11 = -3*h + g. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000120769 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/11 + 496*u**3\/11 + 2302*u**2\/11 - 31384*u\/11 - 68040\/11 = 0.\nAnswer: -243, -10, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:23 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 5*r**2 + 4. Let x be z(-5). Suppose x*v = 120 - 12. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74889227 from 19899.\nAnswer: -74869328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*0.066.\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 2438*r**2 + 2120*r**2 - 324 + 163.\nAnswer: -318*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13311 + -33b?\nAnswer: -1364c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -971*o. Let w(z) = 3*z**2 + 115*z. Let s(v) = -v**2 - 30*v. Let x(n) = -23*s(n) - 6*w(n). Give c(x(t)).\nAnswer: -4855*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2808 and -113\/29718?\nAnswer: 356616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5582, 5597, 5636, 5711, 5834, 6017, 6272?\nAnswer: 6611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*t**3 - 64*t**3 + 5*t**2 - 5*t**2.\nAnswer: 50*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 4 = -20*w. Suppose w*z - z = 60. What is the units digit of z\/25*(-160)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(425) + sqrt(425) + 1 + sqrt(17)))**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/40)\/(142032\/591800).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10085 + 24647. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5972 + 6143. Solve n*s = 170*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 - 6. What is the second biggest value in -5, -2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -238*d**4 - 29*d**3 + 2*d**2 - 374643 wrt d?\nAnswer: -952*d**3 - 87*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39620208 a multiple of 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 2*p**2 - 8*p + 8*p in the form w*p**2 + i*p + s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61652131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.28 - 3.72. Let r = 99.3 + t. What is the smallest value in -1, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3839*x + 0 - 3117*x + 2203*x.\nAnswer: -4753*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2329 and 1507?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + h - 6*h - 28 = 0, -3*h - 6 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104, -328, -690, -1184, -1804?\n\"Answer: m**3 - 75*m**2 - 6*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 4*w**2 + 2*w + 3. Let r be g(-2). Let o = r + -2. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*h + 8, -2*h + 3 = -g - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -26\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.2. Put s, -0.1, 3 in increasing order.\nAnswer: -0.1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 28. Let a(h) = 3*h**2 + 2*h + 1. Let t be a(-1). Let f = t + 0. Solve -2*v - 4 = -3*q - i*v, -4*v = 3*q + f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137144 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -7)\/(2\/82). Let h = 38 + w. Is 337\/(h + -3 + 7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ettd when four letters picked without replacement from pdetdtd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3470*j + 1413*j - 5051*j - 3145*j - 1745*j.\nAnswer: -11998*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 1. Let i be s(-2). Suppose -4*t + b + 5 = 0, 1 = -2*t + 2*b - 1. Let g(p) = -4*p**t + 2 + 0*p**3 - p - 5 + p**3 - 3*p. Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-616)\/(-1176))\/(2475\/810).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 + 73*m**3 + 25*m**3.\nAnswer: 106*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58625887951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 142631412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003081 to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/4 + 5 + 26532\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -63.2. Let m = 105 - z. Let s = -41.99914 + m. What is s rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 9. Let u be w(9). Suppose -l + 5763 + 6237 = u. Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 26 + 6 = 0. Is -9*(-6)\/135 + 85163\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30179952 and 216810?\nAnswer: 150899760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 0)*(-3*b + b + 0*b + 9*b + 0*b - 2*b + (-3 + 4 - 2)*(0*b - b + 2*b))*(4 + 0 - 7).\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0*t**4 + 3*t + 0*t**2 + 1\/10*t**5 - 4\/3*t**3 + 0. Find the second derivative of r(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 326*g - 321*g - 19, -10*c + 105 = g for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**3 + 35*l**2 - 20*l - 140 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-28))\/(2\/(-12)). Let c be (74\/222)\/(2\/(-30)). Sort y, -1, -1\/2, c in descending order.\nAnswer: y, -1\/2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3\/(1 + 2). Let z = c + 2. Solve 0 = 2*i + z, i - 13 = 4*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o - o)*(10*o - 3*o + 9*o)*(-2 + 2 - 4) - 36*o**2 + 20*o**2 + 55*o**2 - 2*o**2 + o**2 + 2*o**2 + (-2*o + o + 3*o)*(0 - 2*o + 0).\nAnswer: 164*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2985311, -5970622, -8955929, -11941232, -14926531, -17911826?\nAnswer: -20897117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/772272 and -133\/2232.\nAnswer: 772272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**2 - 5*j**2 + 11*j - 127 + 126. Let w be r(-4). Let o(m) = 3*m**2 + 2*m - 3. Let q(f) = -2*f**2 - 2*f + 4. Determine w*o(z) + 2*q(z).\nAnswer: 5*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43510334 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 1276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**6 - 13*b**4 - 84*b**2 - 1 wrt b.\nAnswer: 1200*b**3 - 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -3*j, 5*j - 10 = o + 8. Find the second derivative of 3*t - t**2 + j*t**4 + t**2 - 2*t wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1364\/(-341)*-1*(-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/((-6)\/(-27)). Calculate the common denominator of -127\/48 and (-1)\/v - (-148)\/96*5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**2 + 2891436*g - 2891433 = 0.\nAnswer: 1, 963811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 8*k**2 + 2*k + 24*k**2 - 9*k - 4 + 0*k. Let g(t) = -8*t**2 + 2*t + 2. What is -9*g(m) - 4*p(m)?\nAnswer: 8*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 20 (b) 0.045 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 - 6*q**2 + 2. Let z(r) = r**3 - r**2 + 1. Determine -d(f) + 6*z(f).\nAnswer: -7*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4869483 is divided by 210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7473, 7554, 7623, 7674, 7701, 7698?\nAnswer: 7659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13382 is divided by 205?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6992)\/(-5) - 3\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 9*r - 21. Suppose w = 2*c + 13, -5*w + 3*c = -21 - 9. Calculate the least common multiple of 120 and f(w).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1641062 = -1641062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*l - 848210 = 51*l. What are the prime factors of l?\nAnswer: 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-23)*(s**(-1\/9)*s)\/s)**(-11\/3) assuming s is positive.\nAnswer: s**(2288\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113665 and 1270.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679607 is divided by 559862?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12372910 rounded to the nearest ten thousand?\nAnswer: 12370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 541665 (base 7) to base 13\nAnswer: 33c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -24*v - 259. Let k be y(-11). Solve -5 - 3 = -k*l + 3*p, 5*l - 5*p = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.2 + 5.3. Let t = 4.3 + x. Let y = 85\/3 - 28. Which is the closest to y? (a) t (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/22)\/(5\/4*(-24)\/40)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 104\/(-273) - 2\/(-3). Sort -2, -3\/2, d.\nAnswer: -2, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 4*q - 4. Let c = 261\/2 + -125. Let r(b) be the second derivative of -2*b + 0 + 11\/6*b**3 - 2\/3*b**4 + c*b**2. Determine 11*f(n) + 4*r(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecc when three letters picked without replacement from uecce?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000138718227 rounded to six dps?\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i**2 + 11*i**2 - 8*i**2)*(-2*i + i + 1 + 3*i).\nAnswer: -30*i**3 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-15)*3*((0 - -3) + 0). Solve u = 3*g, -2*j + 6 = 3*g - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3 + 3)\/(0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 498.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/630 + 1\/14. Let d(f) be the third derivative of 0*f + 3\/4*f**5 - 5\/12*f**4 - 11*f**2 + 0*f**3 + z. Solve d(c) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148 - (-141 + 334)) + (-1 - -105).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2)\/(-3 + 1). Suppose l = -5*k + 5*v + 425, 4 = -5*v - 6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:32 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33781 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 15. Let v be t(-7). Let j be (-1420)\/(-112) - (-25)\/v. Put 0.5, j, 3 in ascending order.\nAnswer: 0.5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffxxfffffffxff. Give prob of sequence ff.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + -5*sqrt(99))*4 + sqrt(99) + sqrt(99) - sqrt(99)) + sqrt(99))\/(sqrt(90)\/sqrt(1000) + sqrt(9)).\nAnswer: -140*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 4*a. Let z(q) = 4*q**3 - 7 - a*q + 4 + 8*q. Let s(h) = 55 - 27*h**3 + 16*h**3 + 47 - 94 - 17*h. Calculate 3*s(l) + 8*z(l).\nAnswer: -l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {a: 3, g: 3, x: 5, l: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 536270 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915250.\nAnswer: 2, 5, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102651984 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903761 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3 - 146*s + 141*s - 3. Let d(j) = j. Determine d(t(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (4 - (0 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 11 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2. Let n be u(-2). Let v be 18\/99 + (-16079)\/(-77) + 1. What is the remainder when 63 is divided by 7*n\/(v\/65)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27588 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2d36 (base 14) to base 10\nAnswer: -8084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 845.12 - 845.1200034349. What is i rounded to seven dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507\/2 - 117\/4*q - 3\/4*q**2 = 0 for q.\nAnswer: -26, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**6\/150 - v**4\/15 - 6*v. Find t, given that k(t) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 25 = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 87 = 1. Let w(f) = -4*f**3 + 2*f**2 + f + 1. Let d be w(-2). Let m = o + d. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -29*b**2\/2 - 1087. Let k(r) = -2*r**2 - 19. Calculate n(k(c)).\nAnswer: 58*c**2 + 551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 587528\/5 + 2\/5*y**2 - 2168\/5*y = 0.\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 31. Solve -2*q + 0*q + 4*x = 14, j*q + 3*x = 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 20. Which is the third biggest value? (a) j (b) -4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6388 - 6383. Let p = 0.8 - 5.8. Let a be (-2 - 40\/(-22))*-1. What is the second smallest value in l, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18111.\nAnswer: 3, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*296641.45.\nAnswer: 593282.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-48))\/((-189)\/(-1512)). Let y(a) be the third derivative of -5\/12*a**4 + 0*a + 0 - m*a**3 + 40*a**2. What is the derivative of y(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 3*f - 0*f - 5, -3*h - f = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = -5*u + 3*u + 3132, -2*s - 4*u + 544 = 0. What is the remainder when s is divided by 223?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*i = -0*i + 12, 2*h - i = 1. Let n(g) = g**2 - 1. Let q be n(h). Let f = q + 8. What is the greatest common divisor of 64 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7419 + 7424. Solve 0 = -f + 2*m + 11, 0 = -2*f + w*f + 4*m + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 30. Let i(g) be the third derivative of -g**4\/12 - 8*g**3\/3 - 2155*g**2. Calculate the smallest common multiple of 18 and i(h).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 0) + (-4 - -6) - (-32 - (135 + -173)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-420)\/(-80))\/((-9)\/24). Let u be (0 - 15\/12)\/(35\/m). What is the nearest to -1\/2 in 3, 11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from ssspspsppprkkpkp.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 13 + 4, 5*q = -4*o + 281. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551398, -551402, -551406?\nAnswer: -551410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 7*v - 4*r = 4, 2*v - 5 = 3*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 314\/5. Let f = -0.09 - -0.03. Let j = f - -2.06. What is the closest to 2\/7 in j, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*p - 112 - 575, -143 = -s + 5*p. Let o = 2946 + -2847. Let a = s - o. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1703778, -1\/5 in increasing order.\nAnswer: -1\/5, 8, 1703778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 422198, 844541, 1266884, 1689227, 2111570?\n\"Answer: 422343*y - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-392)\/147)\/(4\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*h = 3*j - 14, 2*j + h = 14. Calculate the highest common divisor of j and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 130*s**2. Let f(q) = q**2. Give d(f(c)).\nAnswer: 130*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:24 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -65. Suppose 5*u - 119 = -4*a, -4*a = -4*u - d - 129. Suppose -6*i + 2*i = -a. Is i greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-60)\/(-16))*5\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744\/56 - 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in -29, -3, 46, 4, 5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(10)\/sqrt(5) + -2 + -1 + sqrt(2))**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 1. Let o be p(1). Find the third derivative of 314 - 8*v**o + 7*v**3 - 314 wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (1 + 1 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -77*m - 18. Let u(p) = 76*p + 13. What is -5*b(n) - 6*u(n)?\nAnswer: -71*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195 or 387\/2?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 256 + 1148 - 398 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47*f**2*l + 4762*f**2 - 4*f*l wrt l.\nAnswer: -47*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 26529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 1\/8*h**4 + 23\/60*h**5 + 1\/6*h**3 + 13*h**2 + 0 + 0*h. What is the units digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -12318, 22.\nAnswer: -12318, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7357907 and 6865.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x**3 - 9 + 9*x**2 + 0*x + 3*x - x**3. What is the remainder when r(8) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-12) + (-8)\/6. Let t = 65 - 323\/5. What is the smallest value in y, 1\/5, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 123 + 36. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712\/373 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*q**2*r**3*v - 136*q**2*v**3 + q*r**3*v**3 + 394*q*r**2 - q*r*v**3 - 2*r**3 wrt q?\nAnswer: -338*r**3*v - 272*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102666 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.1 - 19. What is the third smallest value in p, -2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1069, -3, -2\/3, 18, 0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 574? (a) 0.3 (b) -1\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1 + (3 + 0 - 5)*(3 + 1 - 3))*(7349*l + 6510*l + 87 - 85 - 2) in the form z*l + b and give z.\nAnswer: -13859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 406 + -12179\/30. Let w(s) be the second derivative of -1\/45*s**6 + 0*s**3 + 0 - 1\/63*s**7 + r*s**5 + 1\/18*s**4 + 0*s**2 + s. Factor w(u).\nAnswer: -2*u**2*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468940000 rounded to the nearest 1000000?\nAnswer: -469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4568934.\nAnswer: 2, 3, 761489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50.9 and 3.66?\nAnswer: 54.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*v - 12 - 28, -3 = v - 4*b. Let f = -2 + 0. Let j be (f\/3)\/(1\/(-3)). Solve j*i - 6 = 0, -4*y + v = 2*i - 3*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 68*q + 80. Let w be n(-33). Suppose -1 = t, 4*t - 12 = z - 5*z. Solve -4*d + z*c + 20 = 0, 5*d - 2*c - 5 = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/4 - 5901*x**2\/2 + 9029835*x\/4 - 487154925 = 0. What is x?\nAnswer: 465, 3004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2557 divide 336128069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2973913 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y. Let o be ((-20)\/30)\/(4\/(-282)). Is 11 a factor of 0 + -3 + (o - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 1248*u**2 + 31611*u - 30360 = 0.\nAnswer: -440, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*i**4 - i**4 + 3*i**4 - 2*i**3 - 31*i**2 - 3*i + 32*i**2 as o + w*i**2 + v*i + n*i**4 + y*i**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6713 + -6713. Let o = 0.5 - 0.1. Which is the smallest value? (a) o (b) p (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -42.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 98?\nAnswer: -98.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-90)\/(-175))\/((-15)\/(-35)) - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/40 and -83\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**9\/30240 - m**8\/10080 + m**7\/2520 + m**6\/360 + m**5\/30 + m**2. Let z(a) be the third derivative of o(a). Solve z(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Suppose -3*c - 1 + p = 0. Sort c, -1, -5 in descending order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5474 and 0.049674?\nAnswer: -271.915476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 + 26997*b + 55257.\nAnswer: -3*b**2 + 26997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 10 = -n. Suppose -16*x = z - 11*x - n, -2*x - 2 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21418587 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5856 by 2.\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v - 3. Suppose 2*q + 3*u = 5*u + 4, -3*u = -q - 8. What is d(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -1237, -3107, -5715, -9055, -13121, -17907?\nAnswer: -23407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times -1690396?\nAnswer: -524022.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 141*i + 1560 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 3232?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*5*8\/(-40). Let x be n\/12 + 17640\/(-135). Which is greater: -130 or x?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -431 + 748 - 102 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.763824 minutes?\nAnswer: 285829.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z. Suppose 2*m = 8 - 18. Let v = m + 10. Let r(a) = a**2 - v*a + 5*a. Determine r(l(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 108*m**3 + 106*m**3 - 211*m**3 - 10*m + 7*m**2 - 35. Let u(b) = b**3 + 2*b**2 - 3*b - 12. Let v(j) = -3*i(j) + 8*u(j). Calculate v(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3774 or -25?\nAnswer: -3774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 + 2 = 0, 3*q - 59683 = -5*y. Round q to the nearest 100.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5758 = -4*t - 5*s - 5780, -t - s - s = 2*s + 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 162?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m**2 + 2*m. Let c(p) = 192*p**2 - 33*p. Let h(t) = 4*c(t) + 66*y(t). Let r(z) = -z**2. What is h(r(o))?\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -6*l + 18, -14*l + 60 = -5*t + 2*t - 2*t - 10*l for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.6 + 72.5. Sort -1\/4, l, -3\/5, -22 in descending order.\nAnswer: l, -1\/4, -3\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24945.05333 to the nearest 100.\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + q**2 - 12 + 10*q + 7*q + 2*q**4 - 30*q + 6*q to the form x + d*q**3 + k*q**2 + u*q**4 + h*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 564.6405 months?\nAnswer: 47.053375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 2*q + 2, 2*y - 5*q = -17. Suppose -3*i - 3*l - 2*l + 578 = 0, l + 809 = y*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90896 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-12))\/((-4)\/2))\/(3\/204)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-36)\/(-63) + 5\/175 - (-553)\/(-680) and -36\/4471.\nAnswer: 35768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 141, 5, -968, 2\/13?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a, -5*y - 4*a = -2*a. Let w(q) = -q**3 - 15*q**2 - 12*q + 34. Let h = 87 - 101. Let l be w(h). Solve -4*z + d = 8, y*z - 3*d - l = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -28. Let q = 1.29 - 1.89. What is the nearest to z in -3, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12349223483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 98.2. Let z = m - -2.2. Let k = 5.1 + z. Which is the biggest value? (a) 1\/4 (b) 0.02 (c) 3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -23.8, -2\/9, -8, -0.2, -0.11, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1033*a - 799. Let n(m) = 1036*m + 799. Let k(c) = -4*i(c) - 3*n(c). Differentiate k(q) wrt q.\nAnswer: 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -24 + (6 - (-1 + -2)) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -387 - -392. Factor -684*f - 10 - 4184*f**2 - q - 13 - 148*f**2 + 1.\nAnswer: -3*(38*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 278*x - 18419. Give o(-111).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.893731 rounded to 2 dps?\nAnswer: 21.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 55*l**2 - 234*l - 30. Determine y(59).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as -2744142250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 21338126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 433728.9776222?\nAnswer: -433744.9776222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 5*z + 5. What is w(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7715692 - 2708\nAnswer: 7712984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 344111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 41 + -31 + 0 + -4. Let m(t) be the second derivative of -t**3\/6 + t**2 + 16*t. What is m(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = 23. Let a = h + 54. Calculate the greatest common factor of 130 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**1*n*n)*n)\/n**(-11))\/(n**(-3\/2)\/n*n)**40 assuming n is positive.\nAnswer: n**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 16 + 74. Is 9 a factor of 646\/10 + f\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1322291667 to the nearest integer?\nAnswer: 36363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 13 + k**2 - 31.\nAnswer: k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79579.\nAnswer: 79579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 394106 - -74?\nAnswer: 39417a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/5 - -2 - 0. Suppose 0*a + 12 = 3*a. Suppose a*i - 80 = -w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-4)*y*y)*y*y)\/(y\/(y**(-1)*y)))\/((y*y\/(y\/(y\/(y**4*y)*y)))\/y**(-7\/4))*(y**(-3\/8)\/((y*y*y**(-6))\/y*y))**(-1\/12) assuming y is positive.\nAnswer: y**(379\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 13*a - 1. Calculate i(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 581642424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 3*z**2 + 2*z**3 - 7*z**2 - 1 + z**3 as k*z + a + j*z**2 + s*z**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12993347?\nAnswer: 101, 103, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 1, c: 1, o: 1}. Give prob of sequence cfi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 85 + 59 = 0. Let m = -4 + 9. Suppose 4*g - 40 = u - 4*u, -m*u = 4*g - r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113807649, -113807645, -113807637, -113807625, -113807609, -113807589, -113807565?\nAnswer: -113807537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72)*-6)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-28) + 2 - (18\/(-4))\/(705\/(-470))?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, b: 2, v: 1, x: 1, a: 1}. Give prob of sequence xanw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15 = -5*w, -o + 2*w = -2*w - 12. Let z be 445\/(-15)*(-1 + o). Which is bigger: z or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -449, -580, -817, -1190, -1729, -2464, -3425?\nAnswer: -4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 278473922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.90535636 and -404?\nAnswer: 403.09464364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let l(a) = 96*a + 3. Determine l(j(h)).\nAnswer: -192*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4\/3 + 106*x**3\/3 + 270*x**2 + 432*x - 288 = 0.\nAnswer: -12, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10155104 (base 6) to base 5\nAnswer: 33422222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1410290 greater than -1410291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -7\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.406 and 2\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12462 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -1264?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2*r**3 + 7*r. Let v(h) be the first derivative of 1\/3*h**3 + 0*h**2 + 13 + 0*h. Determine v(g(u)).\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4274, 17093, 38458, 68369, 106826, 153829?\n\"Answer: 4273*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2570187\/116 - -22157. Find the common denominator of k and 45\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + 3*t**2 - t + 1. Let p(a) = -a - 6. Let f(m) = m + 5. Let d(c) = 7*f(c) + 6*p(c). Let g(r) = -d(r) - z(r). What is l in g(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -592\/15, 0.2, -377 in descending order.\nAnswer: 0.2, -592\/15, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*(-11 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6847.\nAnswer: 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 34. Suppose 0 = 4*o - 8 - 8. Find the second derivative of 4*i**3 - c - o*i + 42 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l - 731 = 114*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3159405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -11, 80, -0.3, 9\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446017127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 352 - -1b3b9?\nAnswer: 1b73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21873 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -15. Let r = 24 - q. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/70)\/((-296)\/1110)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4026*w**2 - 52364*w - 12. What is h(-13)?\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662095528?\nAnswer: 2, 6703, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d - 15 = -15. What is the second smallest value in 2\/19, d, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -v + 8, d + 13 = 4*d - 4*v. Let z(g) = g - 2. Let y be z(d). Let -y + 0*m**2 - m**2 + 2*m - 4*m = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from dhccddcddhdd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -25, -65, -121?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5 + 1057*q**4 + 28311*q**3 - 165769*q**2 + 75562*q + 268584 = 0.\nAnswer: -31, -1, 2, 4, 1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(2) + sqrt(2) + -4 + (sqrt(1620) - (sqrt(1620) - ((-2*sqrt(1620) - sqrt(1620) - sqrt(1620)) + sqrt(1620))))\/sqrt(10))**2.\nAnswer: 300*sqrt(2) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*k = 282*k - 1299666. List the prime factors of k.\nAnswer: 2, 3, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-14))**23\/(((r\/r**2)\/r)\/(r**(-23)\/r*r)) assuming r is positive.\nAnswer: r**(-343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12*g)\/(g**(-3)*g))\/(g**(-2\/15)*g*g**(-7)) assuming g is positive.\nAnswer: g**(317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7157061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4 + 2)) + (5 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(3300) + sqrt(3300) + sqrt(3300) - sqrt(3300))*-1)\/(sqrt(77)\/(sqrt(28) + sqrt(7)) - sqrt(11) - 6*sqrt(33)\/sqrt(3))*1 + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 0.2 in descending order.\nAnswer: 0.2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w + 0 + 3*w**2 + 1\/6*w**3. Let j be o(-6). What is the second biggest value in -2\/9, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 202662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13312 is divided by 99?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74097 is divided by 9257.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63139141.\nAnswer: 13, 641, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 3}. What is prob of picking 2 j and 1 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4 + 1 + 3*b**2 + 2 + 2. Let x be 1*(1 - (2 + -4)). Does 5 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 8b?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) 0.5 (d) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 + a**2 - 2*a**2)*(1562*a - 6910 + 3459 + 3451 + 1495*a) as o + l*a**3 + v*a**2 + y*a and give l.\nAnswer: 12228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28596 + -42?\nAnswer: -28628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -9. Let c be 3\/s*-4 - 2. Solve -3*u + c*u = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/5 + 113\/40. Let o = 3\/8 - j. Let y = -4 - -4. Which is the nearest to o? (a) -2\/3 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551137 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22036013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18975600 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/40)\/(1*(-99)\/770)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbbfbffbfbf. Give prob of sequence fb.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/507)\/(2\/3). Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (38\/14 - 1). Let o be (5 - 3)\/(12\/(-30)). Put -0.3, c, o in descending order.\nAnswer: c, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(24\/13)\/(l**(-22)\/((l*l**(-2\/3)\/l)\/l)) assuming l is positive.\nAnswer: l**(577\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z)**25\/(z**(2\/3))**(-15))\/((z**(-2\/15)\/z*z*z**(5\/6))\/((z**0*z)\/z)**(-10)) assuming z is positive.\nAnswer: z**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(1*sqrt(75) + 0)**2.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59792 and 1776?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179188, 178565, 177942, 177319, 176696, 176073?\nAnswer: 175450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*f - 82*f - 2240. Suppose -3*g + f = 70. What is the greatest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22 - 4*g**4 - 20 + 1140*g**2 - 1128*g**2 - 581*g**6 + 4*g**4 wrt g.\nAnswer: -69720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16111 - -2039. Round l to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*f = -287*f - 8. Put -4, 3, f in ascending order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111 + -14?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4\/3, -0.3, 32, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, r: 2}. Give prob of sequence rmr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 15)*(3*b**3 - 2*b**3 + 0*b**3) in the form m*b**2 + c*b + j + k*b**3 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 5. Let z be v(-5). Suppose 8*f - 3*f - 120 = z. Suppose 2*x - w - 7 = -x, 0 = x + 4*w - f. Calculate the smallest common multiple of 2 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 2, i: 7, u: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 284511146.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1508193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-14))\/(1\/2))\/(23*18\/47196).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2100)\/(-175)*(-1025)\/123?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(17) + sqrt(68)\/sqrt(4))**2 - (0 + sqrt(1700))) + (-2 + sqrt(68) + sqrt(68)*-2 + sqrt(68))**2 + 3)*-3.\nAnswer: 30*sqrt(17) + 999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 15 - (5 - 2\/1). Let w = 18 + o. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45400 and 44412550.\nAnswer: 177650200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/570 and -131\/190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + 2*x**2)*(33*x - 24*x + 0 - 3).\nAnswer: -9*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5.81 (c) -3\/7 (d) -1\/3 (e) 4\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -17. Let j be 4\/(-16)*h - -25600015. Suppose 2*m - 19199992 = -3*q, m + 3*m = 4*q - j. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4\/9 - 1360*q**3\/9 + 15094*q**2 - 242556*q - 5340720 = 0.\nAnswer: -770, -12, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -62. Suppose j*l + 460 = 5*m, 4*l = m - 3*m + 172. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/5, -3\/7, 3\/8, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 4024564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301.0756 + 310.22. Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*l - 76376*k*l**3 + l**3 - 1234*l**2 - 9*l wrt k?\nAnswer: 2*k*l - 76376*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 605?\nAnswer: 1\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -202? (a) -1902 (b) -303 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -38 + 30 - (0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1341 - 0.1341. Let l = -0.02 + 0.42. Let b = l + -0.2. Put -0.5, f, b in increasing order.\nAnswer: -0.5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n - n**2 + 1\/24*n**4 + 0*n**3 + 0 - 1\/30*n**5. What is the second derivative of f(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 - 7*r + 7. Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 116831353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/44 - (-1 + 17830\/(-4)).\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 + j + 12. Let y be z(0). Let c = y - 9. Suppose 0 = f - h - h + 4, f + 16 = 5*h. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 37*x + 65*x + 3*x**2 in the form p*x**2 + r + a*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -490 - -492. Solve -h = 4*b, -2*h - z*h + 21 = -5*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3553, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69655250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -31e398 (base 15) to base 10\nAnswer: -2376818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*b - 14, 2*p + 16 = -b + 2. Let s be 30\/6 - 0*2\/b. Let j = -47 - s. Is -53 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-4) - -3)*57\/(-38) + -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-63)*49\/42 + 284\/2520.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -39*z + 673. Does 122 divide d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 5, y: 4, e: 2, i: 1, v: 1}. What is prob of sequence yei?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96730315 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 v(o) = 7*o + 10. Let d(m) = 6*m + 9. Let t(p) = -6*d(p) + 5*v(p). Let j be t(0). Let s be (1 + -1)*2\/j. Solve s = -5*u + 5*l - 5, -3*u - 1 = l - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21934697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**4 - 8*a - 3*a + 2*a**4 + 10*a - 4*a**2 + 1 in the form w*a**2 + n*a + h + j*a**4 + i*a**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1. Let y be 10\/25*(-85)\/(-12 - -29). Suppose -5*n + 10 = 0, -2*g + 3*n - 2 - 2 = 0. Let m(w) = -13*w**2 + 2*w - 2. Give g*m(o) + y*v(o).\nAnswer: -13*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*66.1.\nAnswer: -2.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2480 - -2735. Calculate the highest common divisor of 465 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 76*u - 577. Determine n(13).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01199530155 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 0*s + 0*s)*(-2*s**3 + 0*s + 0*s) - 4*s**4 + 7*s**4 - 30*s**4 in the form x*s**3 + d + o*s + c*s**4 + l*s**2 and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528384 and 347268?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Let l(m) = -13 - 4*m + m**s - 6*m + m. Let z be l(10). Is -2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44663859 is divided by 27069.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -12. Let m = h + 21. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1478*f**3 - 897*f**3 + 537*f + 543*f - 1080*f.\nAnswer: -2375*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5972833121 to the nearest integer?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8904 and -3.79.\nAnswer: -4.6804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 87. Find the third derivative of 27*v**2 + d*v**3 - 3*v**3 - 694*v**4 + 665*v**4 wrt v.\nAnswer: -696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2519.5 + -2520. Let y = 1 + -2. Let n = y - 0. Which is the third smallest value? (a) n (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5439 + 2928 = 3*s + 4*d, -4*s - 5*d = -11157. Let w(m) = 5583 - s - 2790 + 2*m**2. Let n(b) = 297*b. Determine w(n(q)).\nAnswer: 176418*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19865875974 from 2790.\nAnswer: 19865878764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/15 and 24\/485.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q + 8 = 0, s - 6 = -8*q + 3*q. Let y(t) be the third derivative of t**4\/24 + 3*t**3\/2 + t**2. Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 7.9. Let w = q + -7.05. Let c = w + -0.05. Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 2*x**2 - 5*x - 1. Let d(k) = -k. Determine -4*d(m) + p(m).\nAnswer: 2*m**3 + 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -141, -199, -365, -693, -1237, -2051, -3189?\n\"Answer: -9*b**3 + 5*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*n = 17485, -169*n = 2*w - 172*n - 6990. What are the prime factors of w?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45463926 = -167*p - 45461588 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12 - ((-24002)\/1416 + -52 + 4140\/60).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + sqrt(1377) + -1.\nAnswer: -5 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -175.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, -0.35884, -2\/15, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72722 - 21878. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*d - 349 + 37, 0 = -3*q + d + 185. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1998 - 2194 + 2972 + 2584)*(3*y**2 - 3*y**2 - y**2).\nAnswer: -5360*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10529000 rounded to the nearest 100000?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -757 + 757. Suppose j = 8*h + 9*h. Which is smaller: -55\/7 or h?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/(-15)*(-40 - -82 - 60).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 - (1 - (3 - 9)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 204982, 1639981, 5534980, 13119979, 25624978?\n\"Answer: 205000*f**3 - f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/484 and ((-444)\/(-64))\/((-88)\/16)?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(102)*-1 + sqrt(102)))\/(sqrt(42)\/(2*sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1531778, 5, -2, -7 in descending order.\nAnswer: 1531778, 5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/(-21)*(-8)\/(-5)*28.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3. Let r be i(-13). Let k = r - 105. Let x = -11 + k. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k - 698*k = -43*k + 6034 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Which is the second smallest value? (a) j (b) 3 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1029 by -343.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*n - 223 + 314 = 5184 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(r - 8*r + 2 + 6*r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1 - 4 - 1050*1. Let g = u - -519. Is (((-2)\/3)\/(-1))\/((-3)\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 4. Suppose 5*s - 8 = 2*k, 3*s + 4*k = -k + 11. Let r(l) = 2*l**2 - 3*l**2 - 2*l - 5*l + s*l**2. Let p be r(7). Determine d(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 0 + -4 + sqrt(2057)*1 + 5)**2 - (((sqrt(2057) + 0)*3)**2 + (sqrt(2057) - 6*(-1*sqrt(2057) - sqrt(2057))**2))) + -5.\nAnswer: 33*sqrt(17) + 39079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185386*y**3 + 58*y - 412.\nAnswer: 1112316*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -254, 0, 1, -7, 791 in descending order.\nAnswer: 791, 2, 1, 0, -7, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/293 and 41\/8149.\nAnswer: 2387657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - h = -20, y + h = -33 + 9. Let a = -4 - y. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1293574, 2587243, 3880912, 5174581, 6468250, 7761919?\n\"Answer: 1293669*z - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-92)\/46)*-46.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -37. Let a = 55 + f. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (168\/18)\/(6\/9). Let z be b\/(-2) + 3 + 4. Suppose z = l - 5 + 3. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0788 - -742\nAnswer: 743.0788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3813898 is divided by 74760.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49955963 - 436.17\nAnswer: -49956399.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*m**3 - f*m**2 + 78642*f*m + f + 44080*m**3 + 7*m with respect to f.\nAnswer: -2*m**3 - m**2 + 78642*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:07 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)*d**(-1\/2)*(d*d\/d**(-1\/2))**(-2) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*s + 208. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8629935.\nAnswer: 3, 5, 31, 67, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 9. Let p be v(-9). Suppose 15 = -16*q + 21*q. Suppose 5*i - 2 = 4*s, p = -2*s + q*s - 2*i + 2. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 82407.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m*m*m**(-7))**(3\/17) assuming m is positive.\nAnswer: m**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 10, 2 in ascending order.\nAnswer: -4, -1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 55, 3, -3.\nAnswer: -5, -3, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - -75) + 26\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(637) + 0).\nAnswer: -10 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298511.718 - -1191343?\nAnswer: 1489854.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9558 + -9202.88. What is b rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 r, and 1 c when four letters picked without replacement from {t: 5, f: 2, c: 3, r: 1, s: 1, b: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/b**(-5)*(b\/(b*b**(6\/7))*b*b)\/b**2 assuming b is positive.\nAnswer: b**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42294 and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4031 and 33409.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*f + 3 = 3*f, 0 = -4*s - 4*f + 12. Suppose -5*y - 10 + 40 = s. Calculate the remainder when 23 is divided by (6\/(-7))\/((-205)\/(-35) - y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.1 and 6\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*n - 7290 - 3654 = -1582 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -482*y**2. Let r(l) = -l. Determine m(r(i)).\nAnswer: -482*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**4\/4 - h**2. Let r(u) = -5*u**2. Calculate r(n(x)).\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4105?\nAnswer: 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**4\/2 - 3*c**2 + 6*c + 4. Calculate the remainder when x(4) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -0.4 (c) 127 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564b (base 15) in base 9?\nAnswer: 114478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q**2 + 58*q**2 + 165*q**3 + 253*q + 35*q**2.\nAnswer: 165*q**3 - 2*q**2 + 253*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3218430 and -26\/49863?\nAnswer: 35402730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.06. Let l = -2.94 - u. Which is the closest to 2\/7? (a) l (b) 4\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/661200 and -111\/950.\nAnswer: 661200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13212*f*x**3 + 31503749*f - 43*x**2 - 8*x with respect to x.\nAnswer: -39636*f*x**2 - 86*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6232425 to the power of 1\/2, to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5815, -5813, -5811, -5809, -5807?\n\"Answer: 2*n - 5817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*f - 5966 + 1406 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/10, 246, -2\/13?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.86 + -0.24. Let y = m - -0.8. Which is the closest to -1? (a) 3\/2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*j + 1, 0 = 2*y - 180*j + 135*j - 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 400 + 1046 - 3*h - 290 + 8*h to d*h + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 4793 + 9596 - 4803.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18)*70\/(-12)*-21*(-73)\/(-3577)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3 - 7 - 3 + 4 + 7*x**2. Let o(w) = 8 + 2*w**2 - 19*w**2 - 3*w**2. Calculate -8*i(u) - 3*o(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f791 (base 16) in base 14?\nAnswer: 1914d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 43. Let h be v(-23). What is the highest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -9 - (2 + 1). Put 4, -1, z in descending order.\nAnswer: 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*p + 5877, -i + 713 + 1254 = 2*p. Is i a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 13. Let z = 21 - b. Let d(k) = -k + z - k - 4. What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*g**3*j**2 - 3*g**3*j + 280*g**3 - 35*j**3 wrt j.\nAnswer: 94*g**3 - 210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 - 4*x**2 - 4*x - 5*x**2 + 3 + 2*x**3. Let z be k(3). Calculate the common denominator of 117\/10 and 59\/z + 1 + 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.28 - 0.28. Let h = u - 12.2. What is the nearest to 1 in h, -5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-33)\/(-15) - 2)\/((-22)\/(-660)). Solve 3*t = -3, -4*j + 141*t - 139*t - h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/56*-12*(-4)\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3 + 0*o**3 - 33*o**2 + 9*o + 33*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfv when three letters picked without replacement from yfvyrvvvefee.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2354879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -322098 divided by -2?\nAnswer: 161049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*y**3 - 2*y**2 - 16\/5*y - 8\/5.\nAnswer: -2*(y + 1)*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/10)\/(6\/36). Let b = -0.28 - -0.08. Put o, 25, b in descending order.\nAnswer: 25, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:34 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228268853.06 + -228268333.05998292. Let h = u + -520. Round h to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 10*c**2 - 6*c + 10. Calculate the remainder when b(9) is divided by 12\/15*(1 + 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/120 + f**4\/12 + f**3\/3 + 3*f. Let b(g) be the second derivative of c(g). What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14582882757181 - 2?\nAnswer: 14582882757179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*t - 177*t + 44*t + 2776 + 49*t + 33*t in the form r*t + l and give l.\nAnswer: 2776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*n = -407, -2*n + 758 + 86 = -2*m. What is m rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Factor -3*q**j - 6*q**2 - 8 + 9*q**2 + 2*q**2 - 6*q.\nAnswer: 2*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -331, -656, -971, -1276, -1571, -1856?\n\"Answer: 5*j**2 - 340*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29835 is divided by 1561.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b89 (base 15) in base 8?\nAnswer: 202251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1443 in 5, 0.1, -0.3, -441, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 3209 - 3263 = 0. Find w, given that 12\/5 - p*w - 2\/5*w**2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2530931, 2530948, 2530963, 2530976, 2530987, 2530996, 2531003?\nAnswer: 2531008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - 4) - 2 - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2526901262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 4894 + 5965 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from yzgtk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72769985*r**4 - 28616686?\nAnswer: -291079940*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 - 2*v + 4. Let x(l) = 37*l**2 + 15*l - 30. Let p(t) = -15*f(t) - 2*x(t). Let m(d) = 2*d. What is m(p(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52281 by -3.\nAnswer: 17427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 5. Let u(f) = 4*f - 41. Let p be u(11). Sort p, k, 2 in decreasing order.\nAnswer: p, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 20*r + 168.\nAnswer: (r + 12)*(r + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131480 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*x + 151*x - 3*d + 15 = 0, x - 4*d - 24 = 0. Solve h + 15 - x = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*t - 11, 71*t - 3*p = 72*t + 5. Solve 0 = 2*f + 2*i + 2, -1 = -3*f - i - t*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 58*l - 4173. Let c be a(72). Solve -5*n - 4*w = -0*w + 5, -3*n - 30 = -c*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsws. What is prob of sequence ws?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(1\/(-5))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6359*c**2 + 6*c + 5. Let b be 10\/(5\/(15\/(-6))). Let s be r(b). Round s to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1756*f**3 - 100*f**2 - 116*f - 15. Calculate b(-1).\nAnswer: 1757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:16 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 7*t + 89 - 11*t + 27*t to c + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.63374695 rounded to one dp?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 241*i - 265. What is the remainder when 2478 is divided by s(70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -236, -511, -892, -1379, -1972?\nAnswer: -2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*z - 12*z. Suppose r - 4*u = 36, -2*u = -0*r - z*r + 42. Suppose 2*y + r = 4. Is -5 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:43 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 4)*(-2 + 2 - 5*l)*(6*l + 0*l - 4*l + (-1 - 3 + 1)*(-l + 0*l + 5*l)) as f*l + g + n*l**2 and give n.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4329 + 4351. Solve 20*u = h*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*l**5 - 4 + (1 - 2 + 3)*(2*l**5 - 6*l**5 + 2*l**5) + 3*l**5 - 2*l**5 - 3*l**5.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from rrrbjkrmmmkbrrrxk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipvpeaj. What is prob of picking 1 a, 1 p, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65807, -264127, -594947, -1058261, -1654063, -2382347, -3243107?\nAnswer: -4236337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvgvyvvqhhyvvvqvg. What is prob of picking 1 g and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 8, 18, 40, 74?\n\"Answer: 6*a**2 - 20*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-10)\/(-75)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*29.08.\nAnswer: -2.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204330 (base 5) to base 3.\nAnswer: 100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 31*p**2. Let x(k) = -2233*k**2. Let v(c) = 145*l(c) + 2*x(c). Let r(b) = -6*b**2. Determine v(r(a)).\nAnswer: 1044*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {b: 1, o: 11, l: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -296*t - 334*t - 265*t + 34*t - 858 + 197*t with respect to t.\nAnswer: -664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 5*k**3 + 1850165361*k**2 - 1850165360*k**2.\nAnswer: 8*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -57 (c) -0.4 (d) 121 (e) -1\/92 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:07 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 - (-2 + 4). Let q be (-2)\/(-4 - m) + 1. Suppose -9 = -a + q*z, 2*z = a - 3*a + 6. Solve -u + 2*t - 4 = 4*t, -3*u = -a*t - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(4*z + z - 3*z)*(3*z - 3*z + 6*z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + 39.9.\nAnswer: 23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 22*f**3 + 19*f**2 + 9*f - 11. Let c(q) = -11*q**3 - 10*q**2 - 5*q + 6. What is 11*c(h) + 6*u(h)?\nAnswer: 11*h**3 + 4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2\/4 - 25065*g\/2 + 209418075\/4 = 0. What is g?\nAnswer: 8355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -13*n. Let a(b) = 38*b + 1. Let j(z) = -2*a(z) - 7*p(z). What is the remainder when 22 is divided by j(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090789?\nAnswer: 7, 113, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1 (c) 0.065 (d) 3\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -44639186?\nAnswer: 3\/44639186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 1. Let g(m) = -4*m**2 - 13*m - 199. Let a(l) = g(l) - 5*z(l). What is the hundreds digit of a(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3510 and 4555970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(396)))**2 + ((-1 + sqrt(396) + sqrt(396))*4)**2 + 3 + 0.\nAnswer: -432*sqrt(11) + 26951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 67*z + 66.\nAnswer: (z + 1)*(z + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 3. Let y(f) = 4*f**2 - f - 2. Let t(g) = -3*u(g) - 2*y(g). What are the prime factors of t(4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 52. Let j(b) = -b**2 + 22*b + 22. Let c be j(22). Suppose -c - r = -4*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let p(c) = -8*c - 10. Let x = -24 + 14. Let h(o) = x*y(o) + p(o). Let t(i) = -i. Determine t(h(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 243*m - 61. List the prime factors of o(3).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (527 - 483) + (-4 - 19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5473 divided by 25\nAnswer: 5473\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/28124346 and -85\/196870422.\nAnswer: 196870422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -204 and -901.\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + 13*z**2 - 4*z - 7. Let g(r) = 2*r**3 + 14*r**2 - 3*r - 6. Let q(d) = 3*a(d) - 4*g(d). Let v be q(17). Solve 5*w - 22 - v = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 14*t + 3. Let r be w(14). Let a(d) = -d**2 + 3*d - 2. Determine a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 1, w: 1, m: 2, c: 1, n: 11}. What is prob of sequence wng?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1458 by 162.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = x + 458, 0 = 5*c - 2*c - 5*x - 454. Suppose 161*a = c*a + 12680. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4843*w - 2117*w + 1391*w - 1324*w.\nAnswer: -6893*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10 - (-264)\/5. Let b = z - 52. List the prime factors of (-33)\/b*9\/(-9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 7*b + 4. Let x be q(-7). Suppose -2*l + 6 = -d, -x*l = -6*l + 5*d + 6. Suppose 3*f = 3 + l. Solve -5*k = 2*r + 2, f*k = -1 - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 29 in decreasing order.\nAnswer: 29, 22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/6, -3.07, 0.08?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14*n. Let q be z(1). Let p be 80\/q - 2\/(-7). What is the tens digit of 4\/p - 28\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4873 - 2385. List the prime factors of l.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219048 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + 3\/36. Let k(l) = l - 9. Let x be k(7). Let p be (x\/(-8))\/(-1 - -3). Sort p, -2\/9, v in decreasing order.\nAnswer: p, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/(o**(-2\/11)*o))**(-2\/87)\/((o**1)**(-5)\/(o\/(o\/o**6)*o*o*o**(3\/2))) assuming o is positive.\nAnswer: o**(27701\/1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 975*v**2 + 1376*v**2 + 4*v + 1228*v**2 + 0*v as k*v + p*v**2 + m and give p.\nAnswer: 1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -257. Suppose 36 = -2*p + y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.514979 to 3 dps.\nAnswer: -0.515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((3465\/1320)\/(30\/8))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 159432 = 3*z - x, -x = -4*z - 212587. Let s be z*(-6)\/(-9)*3\/4. Let w = -4173 - s. What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -200*p - 1953. Calculate k(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 20*t - 62. Let c be j(23). Suppose 4*q - 4*v = -5 - c, -4*q + 3*v = 9. Which is bigger: q or 4\/39?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111011101000101 (base 2) in base 11?\nAnswer: 123043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/60984*55)\/(10\/(-16)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -14. What is the remainder when 19 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3962 + -3927. Calculate the highest common divisor of 110 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + 19517\/435)*2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.61 in 3\/2, -5, 2\/13, -0.948?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -2*1*sqrt(68))\/sqrt(4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m - 69. What is j(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:15 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 4 = 10*s. Let h(x) = 2*x + 0*x**3 + 5*x**3 - 3*x**2 - 5 - s*x - 6*x**3. Give h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1393\/33 or -42?\nAnswer: -1393\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -12. What is the common denominator of 182\/12 - (-2)\/g and (1 - 2) + (-131)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -184575?\nAnswer: -184575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197.22 - 160.9. Let a = l - 0.32. Let k = -35.99989 + a. What is k rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52195637 take away 0.16?\nAnswer: 0.36195637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - -3 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjrc when four letters picked without replacement from {r: 3, k: 2, j: 2, c: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/12)\/m)\/(m\/m**(-1))*(m**(-2\/3))**(-5))**(-2\/79) assuming m is positive.\nAnswer: m**(-5\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 124 + 112 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 1171, 2598, 4725, 7624?\nAnswer: 11367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 + 151*c + 5*c**3 + 115*c - 268*c - 161*c**2.\nAnswer: -6*c**3 - 161*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2*q**2 - 4 + q**3 - 2 + 4 - 2. Let s be c(2). Let v(x) = -3*x - 2. Let f(p) = -p - 1. Suppose 0 = -w - w + 8. Determine s*v(h) + w*f(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 18. Let k = 0.0248 + -0.1248. Which is the closest to k? (a) z (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 124. Suppose -4*n + n + p*d + 1058 = 0, 2*d = 3*n - 1073. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2646 to two decimal places.\nAnswer: 2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 3*m**2. Let h(j) be the second derivative of 0*j**3 + 0*j**2 + 1\/6*j**4 - 131*j + 0 + 1\/20*j**5. What is 4*f(w) + 6*h(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*t + 1. Suppose n - 30 = -n. Let o be 3\/n - 28\/(-10). Solve -t*b + 3*i = -o, -5 = -3*b + 4*i - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjujxfuxxxxu. What is prob of sequence uuxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 24. Suppose 5*d + t - 90 = -4*a, -d + 39 = 3*a. Let b = -10 - -23. Is a > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332255177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 2*a - 4. What is c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -469? (a) 6 (b) 426 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -69614, -2, 23 in increasing order.\nAnswer: -69614, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1619, 7, -53?\nAnswer: -0.1619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -31 - ((-6)\/(-2) - 4). Let m be (6\/(-4))\/(9\/k). Suppose 52 = 2*c - m*j, -32 = -3*c - 3*j + 46. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 - 122*g**2 + 46*g + 131. What is c(-25)?\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/20 + 21*i**2. Give y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 2*b - 26 - 22 - 22 + 86.\nAnswer: -2*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4191.1422 rounded to the nearest 10?\nAnswer: -4190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164.8 + 60.9. Let h = -104 - x. Which is greater: h or -22?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121 - 66. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1730 and 27\/226111.\nAnswer: 2261110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864251 (base 12) to base 8.\nAnswer: 10061135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:12 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 233720 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -27)\/28 + 2\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196730358, 393460719, 590191080, 786921441?\nAnswer: 983651802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/199, 2, -5, -4, 5.\nAnswer: -5, -4, 1\/199, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16961*k**3 + 23856*k**2?\nAnswer: -101766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -24345917389765.\nAnswer: -24345917389765.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 811508849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15186319471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3204 - 3204.0745. Round s to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s**2 + 7*s - 1. Give r(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 333*g + 75*g + 1085*g + 7 to the form u*g + w and give u.\nAnswer: 1493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2041 - 0?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2751, 2654, 2565, 2484, 2411?\nAnswer: 2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + -0.3100233319.\nAnswer: -7.3100233319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -571*a**2 - 5. Let u(x) = -19180*x**2 - 168. Let v(p) = 5*u(p) - 168*z(p). Let f(w) be the third derivative of -w**5\/30 - 5*w**2. What is v(f(m))?\nAnswer: 112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1b - -9?\nAnswer: a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 9*y - 7. Let o(h) be the third derivative of -7*h**5\/60 - 19*h**4\/24 - 5*h**3\/2 - 40*h**2 + 23*h. Give 13*b(i) - 6*o(i).\nAnswer: 3*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kiki when four letters picked without replacement from ikuikuukuuukuuk?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u**6 + 10*u**3 - 15*u**2 + 10*u + 10. Let j = 9 - 19. Let w(z) = z**3 + z + 1. Let t(b) = j*w(b) + y(b). Find the third derivative of t(h) wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 = 95*g - 1393 - 501 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/18 - 4*p**3\/27 - p**2\/9 + 4*p\/9 - 9. Solve h(v) = 0 for v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2700) + 1*sqrt(2700) + sqrt(2700))\/sqrt(9).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237785439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180) + 2*sqrt(1620))\/(sqrt(40)\/sqrt(16)*-2)*6.\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, -1.13, -29\/50?\nAnswer: -29\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((2 + sqrt(1053))*-2)**2 - 6*sqrt(1053)*3).\nAnswer: -18*sqrt(13) + 4231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) - -2*(sqrt(216)*-1 - sqrt(216))) + sqrt(216))\/(sqrt(8) + (sqrt(200) - sqrt(8)) + sqrt(8) - sqrt(14)\/sqrt(112)) + 3)**2.\nAnswer: -288*sqrt(3)\/47 + 26793\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*2\/(-18)*(1 + (-114014)\/(-4)).\nAnswer: 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 2 + 2*v**2 + 2*v**3 + 2*v - 11*v**2 + 4 to the form w*v + y*v**3 + b + n*v**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 24272*m + 22*m**2 + 24261*m - 1 as r + u*m**2 + z*m and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1504*i + 1445*i - 19840 = 3104*i for i.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 3)*(3 + 0 - 1) + 1 - 1 + 5)*(-g**2 - g**4 + 2*g**4 + 0*g**2) as z*g**4 + l*g**2 + d*g + i*g**3 + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21743525, -43487052, -65230579, -86974106, -108717633?\n\"Answer: -21743527*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/3 (b) -0.5 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 70?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 35*p + 273. Is a(18) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, p: 2, u: 7}. Give prob of picking 4 u.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 832063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o + 3\/2*o**2 + 1 + 1\/6*o**4 - 1\/10*o**5 + 1\/120*o**6 - 1\/6*o**3. Let y(p) be the second derivative of m(p). What is y(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/(-42) - (-3 + 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3366*l*v**2*z**3 + 1194*v**2*z**3 with respect to l.\nAnswer: -3366*v**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 + 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - -210. Let g = 242.9684 - i. What is g rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 27, -1 in decreasing order.\nAnswer: 27, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = 3*w, w - k - 2 = -3. Put 3\/7, -0.05, w in decreasing order.\nAnswer: 3\/7, -0.05, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 457 + -1424. Let w = 966.999998669 + r. What is w rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*r + 5, -29*p - 21 = -28*p + 4*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3) + 0 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2592 - -2595. Let z(i) = -5*i**2 - 8*i + 7. What is z(t)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + v)*(-37 - 8 - 37) + 2*v + v - 2*v + 5*v + 11*v - 5*v)*(4 + 1 - 3).\nAnswer: -140*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**8\/16800 - v**7\/3150 + v**6\/1800 + v**5\/150 - v**4\/3 + 2*v. Let w(n) be the third derivative of o(n). Factor w(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*g**3*p**2*s - 2295*g**3*p + 3*g**2*p - 19*g**2 - 154*g*p*s + 4*g*s - 43*p**2*s - 643*p**2 wrt p?\nAnswer: -212*g**3*s - 86*s - 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8444.024 litres in millilitres?\nAnswer: 8444024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 36656 = -2*o - 5886, -4*o = 4*x - 85108. Does 39 divide x\/55 + 3 + (-1)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*g + 13*g - 100 - 3*g**2 + 91*g to x + o*g**2 + r*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19048782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a**2 - 748*a - 704. Let b(t) = 2*t**2 - 68*t - 64. Let o(n) = -32*b(n) + 3*m(n). Factor o(u).\nAnswer: -4*(u + 1)*(u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/221 (b) 347 (c) 4.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.91137 decades to centuries.\nAnswer: 4.991137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 127440.\nAnswer: 127440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 371426*n + 18. Let c be m(7). Round c to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-32) - ((22572\/(-144))\/57 - 4911\/48).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1225631 by 111421.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 18. Calculate the remainder when 15 is divided by s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.4539 and -0.2?\nAnswer: 7.2539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4173 (base 8) to base 6.\nAnswer: 14015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:12 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 11*y**2 - 21*y**2 + 3 + 9*y**2 - y. Let i be (-3)\/(-15) + (-62)\/10. Let r be 6*(-3)\/(27\/i). What is f(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1657, 3284, 4911, 6538?\n\"Answer: 1627*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6419634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 160*q**2 - 1638*q + 572. What is k(-149)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3737 divided by -3.\nAnswer: 3737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18219 and -2.1.\nAnswer: 38259.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agde when four letters picked without replacement from {e: 1, g: 1, a: 7, d: 4}?\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**3 + 7*v**2 - 7*v + 14. Let p(f) = -14*f**3 - 6*f**2 + 6*f - 15. Let h(y) = -6*d(y) - 7*p(y). Differentiate h(w) wrt w.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h - 24. Let z be a(-6). Let l = z - 88. Let x be (6 - 7)*(l\/2 - -12). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4910*s + 13399 wrt s.\nAnswer: -4910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.86144\nAnswer: 0.344576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220.1 + -232. Let d = u + 16.9. What is the second smallest value in -1, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1090 - 596. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 31 = -5*t + 47, -4*t + 8 = 0. What is the first derivative of 4061*c + 269 + 4060*c - k*c**3 - 8118*c wrt c?\nAnswer: -51*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 42*n**2 - n - 10. Let k be h(2). Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 - -380. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 + -260. Calculate the least common multiple of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 - 3*x. Give j(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186195377 to the power of 1\/2, to the nearest integer?\nAnswer: 13645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x - 172 = 0. Let h = x - -213\/5. Which is the biggest value? (a) h (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1)\/(((-2)\/(-42))\/((-3100)\/6510)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12699 divided by 1?\nAnswer: -12699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84582 - -594382\/7. Let p = u - 330. What is the closest to 1 in -0.5, -3\/2, p, -2.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 23642145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0182 and 0.1.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3 - 8700*c**2 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(9)\/sqrt(3)*-5)**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2. Suppose -b - 2*u - 12 = -90, 246 = 3*b + 3*u. Let z(n) = b*n - 86*n + n**2. Determine j(z(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8562498*n**4 + 294*n - 5743 wrt n?\nAnswer: -102749976*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h + 1\/6*h**3 - 1\/2*h**2 + 0. Let b = -4 - -6. Let o(f) = 2*f - 3. What is b*o(d) - 6*k(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from rjhcnrwrjnwwrwwwh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51586)\/(-8) - (412\/(-16) + 26)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 192221 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -30*z**2 + 5*z - 326. Calculate h(0).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(-1))\/d*d))**(2\/13)\/(d**3*d**6\/d*d) assuming d is positive.\nAnswer: d**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5469, -5465, -5461, -5457?\n\"Answer: 4*y - 5473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 689712 and 172428.\nAnswer: 689712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318537?\nAnswer: 3, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 686477.9 years?\nAnswer: 68647.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25231025 to the power of 1\/2, to the nearest integer?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 212.7 * 0.00421\nAnswer: 0.895467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54311 divided by 660.\nAnswer: 54311\/660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*l = -1562*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/((31025\/(-1020))\/(-365)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t**2 + 71686*t - 1074608 wrt t.\nAnswer: 8*t + 71686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130 - -139. Let f be 6\/a - 32\/(-24). Suppose f*x + 31520 = 10*x. Round x to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39598 - 39595. Determine o, given that -32\/7*o**4 + 0 - 16\/7*o**z + 0*o - 2\/7*o**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1659 + -878. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 - (0 + -2 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1874 - -23.2026. What is l rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2 + 5*p - 2. Let b be y(3). Let u = 3 - -2. Sort b, -3, u in descending order.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -13\/9, 0.043 in decreasing order.\nAnswer: 0.043, -13\/9, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*k - 538 - 398 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y + 169 + 165 - 323 to the form t + l*y and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - sqrt(78)*2*-2) + -4*sqrt(78)*-5 + sqrt(78))\/((-1*1*sqrt(18))\/(sqrt(300) - (sqrt(300) - -1*sqrt(300)) - sqrt(3))))**2.\nAnswer: 1063348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 9*i = -144. Suppose -11*v + i = -7*v. Solve 5*x = v*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 25*u**2 + 63*u**2 - 84*u**2. Let p(y) = 1 + 159*y + 17*y**2 - 159*y. Calculate p(m(l)).\nAnswer: 272*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9432.445cm in meters?\nAnswer: 94.32445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.35 + -3.2. Let n = -3.35 - m. Round n to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7966 + -5465. What are the prime factors of w?\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -6.1\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212647?\nAnswer: 47, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t. Let o(j) = -3 - 16*j + 3. Let q be ((-187)\/(-20) - 3\/(-12))\/(138\/345). Calculate q*y(d) + 5*o(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 7\/5 (c) -0.1 (d) -3 (e) 241 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -39. Let x be 32\/i*(-72 + 3). Let o be 2\/(-8) - x\/(-64). What is the second smallest value in -4, o, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 82. Let m(x) = -4*x**2 + 28*x + 18. Let o(u) = 3*u**2 - 19*u - 12. Let y(t) = -5*m(t) - 7*o(t). Is y(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 90.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 3*u - 2*u + 6*u + 0*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g + 3. Let a(y) = -y**2 + y - 1. Let t(b) = 3*a(b) + d(b). Suppose -2 = -p - 0*p. Let r(m) = 2*m - 2*m**2 - p*m. What is t(r(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8\/5 + 102296\/190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 562*i\/9 - 560\/9.\nAnswer: -2*(i + 1)*(i + 280)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -63319 - 144130. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 9*m + 2. Let t be s(-9). Suppose -p + 46 = x, t*x - 3*p = x + 34. Suppose x = -5*j + 183. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 13\/(-5). Suppose 4*h + 4*x - 4 = 0, 0 = 4*h + 6*x - x - 3. Let d(k) = -4*k - 5*k**2 + 2*k**2 + 1 + 3*k**2 + k**h. What is d(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1914.4575 + 1915. What is k rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 5. Let k(y) = y + 6. Calculate 3*k(w) + 4*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Suppose x = -0*x - 5. Let r = 4 + x. Let v be d(r). Which is the smallest value? (a) -2\/11 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**3 + 0*y + 0 - y**2 + 5\/24*y**4. Let w(j) = -101 + 101 - 121*j**2 - 108*j**2 + 227*j**2. Determine w(q(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260924 - -1830046\/7. Let m = 56821\/112 - s. Find the common denominator of 87\/16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(26)\/sqrt(2) - ((sqrt(65)\/(-2*sqrt(5)))**2 + sqrt(13)).\nAnswer: -13\/4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 - -786\/7. What is the smallest value in 0.4, -1\/4, 1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 4 (c) 75 (d) -122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3.71973491.\nAnswer: -10.71973491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 2. Let q be z(-10). What is the highest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42\/25, -0.5, 2\/7, 6\/5, 5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4675 and 93960955.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)*u*u\/u**(-1))\/(u\/(u*u**1))**(-15))\/(((u\/u**(1\/5))\/(u*(u*u**(-5))\/u))\/(u*u*u**(-1\/2)*u)**(-3)) assuming u is positive.\nAnswer: u**(-2693\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = c + 3, c + 5*n = -c + 46. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2. Let o(q) = -3*q + 21. Let c(b) = 6*n(b) + o(b). Determine c(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162091 - 89.027?\nAnswer: -1162180.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = 2*o, 4*w + 0 = -o + 3. Suppose 5*y = -5*a - 5, -6*y = 5*a - o*y - 1. What is the third derivative of -x**5 - x**5 - x**a + 3*x**5 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-175))\/(20\/14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g**3)*(6*g - 4*g + 0*g) + (-4*g**3 + 2*g**3 + 4*g**3)*(g - 3*g + g) + 83*g**4 + 82*g**2 - 82*g**2.\nAnswer: 79*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74, 173, -1\/2791?\nAnswer: -1\/2791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 107 = -73. Let q be g\/(-45) - (-51)\/15. Solve -4\/7*m**q + 0*m**2 + 0 + 4\/7*m = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 11*d + 9914 - 9974, -4*a = -d + 10 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-1.90528\nAnswer: 1.333696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -140. What are the prime factors of 0 + h + 350 + -12?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((6*sqrt(136)*2)\/(sqrt(242) + (sqrt(242) + sqrt(242)*-1)*1 + sqrt(242)))**2)*-5.\nAnswer: -11635\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgc when four letters picked without replacement from {c: 11, g: 5}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 7. Let v = 143\/141 + -32\/47. Let h = 0.2 - 0.3. What is the closest to 0 in v, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 99 - 27*v to the form x*v + d and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 17 = -4*i, 0 = 3*q - 1 - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 + 210. Suppose g = 6*y - y - 1022, -3*y - g + s = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/81 + -16\/81. Let g(n) = n**2 - 11*n - 2. Let o be g(10). Which is the third biggest value? (a) k (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m**4 - 308*m**3 - 33944*m**2 + 55988*m + 25752 = 0 for m.\nAnswer: -29, -3\/8, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/96564 and 119\/96.\nAnswer: 772512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 793.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1636141 hours to milliseconds.\nAnswer: 589010.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 - 16*i - 7. Let n be g(-3). Sort -2, -9, n, -1 in descending order.\nAnswer: -1, -2, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -30. Let c = q - 74. Let 0*d**3 + 0*d**2 + c*d - 2\/5*d**4 + 0 - 2\/5*d**5 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {f: 4, l: 7, k: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/4221 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Which is the nearest to 1? (a) w (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34842 is divided by 10649?\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1305, -1307, -1309, -1311, -1313, -1315?\n\"Answer: -2*s - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46911 is divided by 15513.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1, -1, -837 in descending order.\nAnswer: 2, 1, -1, -3, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 5, 1\/4, -2\/33 in ascending order.\nAnswer: -4\/3, -2\/33, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 2260 = -10*w. Suppose -l + x = -85 - 30, 0 = -5*l - 5*x + w. List the prime factors of l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284.3 take away 0.5?\nAnswer: 1283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - n + 122, 12 = 5*i - 5*n - 128. Calculate the remainder when 45 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (16 + -6))\/(7\/(-21)). Sort 2\/3, -1\/9, z, -19 in increasing order.\nAnswer: -19, -1\/9, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 484, 663, 842, 1021, 1200?\nAnswer: 1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 15 = -3*i - 4*w, 0 = 2*i + 4*w + 10. Suppose -7 = -3*z - i. Suppose -3*f = z - 68. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 5 - 2*q + 11*q - q. Let a be s(7). Solve 0*f - a*f - 4*x = -18, 0 = -5*f - 5*x + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 1 - 7655\/200. Let t = 513\/20 + n. Find the common denominator of -1 - 2\/(16\/(-198)) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479328?\nAnswer: 2, 3, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 + 5*w**2 - 2*w - 1. Let v be j(-1). Find the third derivative of 2994*y**2 - 13*y**3 + v - 3223*y**2 - 2 wrt y.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-5\/14)\/(j\/(j*j*j\/j**(-3)*j*j)*j**8))**(-6\/13) assuming j is positive.\nAnswer: j**(72\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*c - 204 = 0, -4*t - t + 255 = 5*c. What is the remainder when t is divided by (-11 - (-4 + -6))\/((-2)\/28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:34 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 1, y: 1, t: 1, b: 1, e: 2}. Give prob of picking 1 p and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594221 to the power of 1\/2, to the nearest integer?\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + -1)**2 + 5.\nAnswer: 2*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 - 25*b + 37. Let k be y(2). Let v(d) = -1. Let j(t) = -2*t + 16. Give k*v(o) - j(o).\nAnswer: 2*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*l**2 - 66*l**2 + 22*l**2)*(0*l - 3*l + 2*l + (2*l + 4 - 4)*(3 + 3 - 5) + (7*l - 8*l + 0*l)*(1 - 3 - 2)).\nAnswer: -465*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/4 - (-2)\/8. Let b be (4\/6)\/(1 + c). Let x = 24.3 - 24.7. What is the nearest to -1 in x, -1\/2, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 73921.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4732459\/13970775 - -9\/102350. Calculate the common denominator of n and 50\/21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1158006515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 14*c = -504. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Let f be ((-380)\/25)\/(q\/(-65)). Suppose f = 3*h - 313. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121140 + -1?\nAnswer: 121134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -169 + 80 - 6*y + 97 - y**2 + 20*y. Calculate g(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78*54\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 5*k. Let x(l) = 6*l**2 + 14*l. Let n(u) = 10*j(u) + 3*x(u). What is the second derivative of n(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17163948 divided by 6.\nAnswer: -2860658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -118\/237?\nAnswer: -118\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493015 divided by 5.\nAnswer: -98603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32117501 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.48189 - 43.982028. Let u = 11.5 + i. Round u to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1099 * -22805\nAnswer: -2506.2695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 330034?\nAnswer: 330043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 14760102. Let w(m) = -m**2. Calculate r(w(g)).\nAnswer: -2*g**2 + 14760102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**2 - 3*x**2 - 30*x**2. Let n(b) = -b**2 + 29*b - 59*b + 30*b. Calculate c(n(o)).\nAnswer: -44*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/30 + 2*n**5\/15 - n**4\/6 + 5*n**2 + 14*n. Let g(a) be the first derivative of q(a). Find h, given that g(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/2)\/3)\/((-188)\/(-47))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 800 = -5*a. Let v be (4\/(-6))\/((-26)\/a). Let x(c) = 2*c + 4*c**3 + 9*c**2 - 3 - 3*c**2 + 1 - 3*c**3. Calculate x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-4)\/36*45. Suppose -3*k + c = -3*f, -k = -2*f - 2 - 5. Suppose -3*n**2 + 6*n - k*n**3 + 29 - 29 = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 11 + 10)*(2*r - 2*r - 6*r**4 + (2*r**2 + 2 - 2)*(2*r**2 - r**2 + 0*r**2)) to n*r**3 + d + i*r**4 + o*r + j*r**2 and give i.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1825 = -2*t + 165. Round t to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/3)\/((-55)\/30 + 3). Solve -x*t + 3*t = f + 2, -3*t - f + 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/10 + 0 + -1. Let d be -1*((-16)\/(-5) - 3). What is the smallest value in s, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:53 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 12 + 2 + -3. Let b be 12\/j*(-10)\/3. Sort b, 3, 10 in increasing order.\nAnswer: b, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 42*k - 777. Determine b(31).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459452.\nAnswer: 2, 7, 61, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 124*a**2 + 96*a. Calculate q(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -81. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -386\/119 - -60\/17. What is the third smallest value in -3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9)\/(1\/3)*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (-7 + (9 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/88293 and 53\/26340745?\nAnswer: 79022235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let l be ((-2)\/(-24))\/((-12)\/18). What is the nearest to g in 5, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 6. Let i(f) = 15*f - 13. Let a(p) = 13*g(p) - 6*i(p). Let r(d) = -d. Calculate a(r(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923128238 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 302442 divided by -2\nAnswer: -151221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.6 + -18. Let j = -511.1 + 512. Let k = 7\/9 + -19\/36. Which is the second smallest value? (a) j (b) k (c) o (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 4:30 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 4*j**2 + 22*j**3 + 7*j**2.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*b + 80, -3*f + 7*f = -5*b + 64. Let y = f - 0. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.33. Let q = 0.03 - c. Let k = -0.06 + q. What is the third smallest value in k, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f - 316. Calculate the remainder when 150 is divided by n(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 5. Let x be 0 - (-3)\/1 - t. Suppose 69 = x*d - 57. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:46 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.35 - 0.15. Let d = 0.1 + v. Let z = -1.6 - d. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-609)\/(-638))*9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60523\/6 + 10112. Let j = 27423\/8 - 3422. What is the common denominator of j and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 11. Let h be s(-12). Let m(r) = 8*r**2 - 2*r + 1. Let u be m(h). Solve -i = 3*q - u, 2*i = 3*i + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttaeetzemet. What is prob of picking 1 m and 1 t?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.193611ml to litres.\nAnswer: 0.008193611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.24 and 0.1819?\nAnswer: 10.048156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576127 is divided by 2973?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 4. Let z(f) be the third derivative of 0*f**3 + 0*f**4 - 1\/30*f**5 + 0*f + 0 + 27*f**2. What is z(w(q))?\nAnswer: -32*q**2 - 64*q - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 + 13274 - 13274.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4096\/31 - -132. Let f = -23\/62 + n. Let u be ((-4)\/(-1))\/(10 - 5). Which is the nearest to f? (a) -3 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3*y + 8. Let p = -646 + 652. Give r(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/16 + 59503\/10. Let d = 5947 - f. Calculate the common denominator of -67\/14 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992414344.\nAnswer: 2, 1171, 212683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1017\/22 or -45?\nAnswer: -1017\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.41 - 44.409985016. Round h to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 z, and 1 v when four letters picked without replacement from qqvqfzuzuqqzqzqz.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2916*h + 1649*h - 3984*h.\nAnswer: -5251*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - 2*p + 24. Give r(-5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 1. Let i(d) = 113*d + 182. Let k(o) = -i(o) + p(o). Is k(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 2*i + 5, -3*i + 9246*r - 9247*r = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Sort 0, t, 1.\nAnswer: 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817243134 + 5.\nAnswer: -817243129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 (base 8) in base 2?\nAnswer: 11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 17431\/4957 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (5 + 24\/(-14)). Let g be (-6 - -2) + (-33)\/(-6). Let p = -1\/22 - 9\/44. Which is the biggest value? (a) p (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(15\/8))**(-42)\/(j**31\/(j**11\/j)) assuming j is positive.\nAnswer: j**(-567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3680, 3172, 10024?\nAnswer: 16876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 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: Is -3 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 5 = -6*r. Let o(p) be the third derivative of p**4\/6 - p**3\/6 - p**2. Determine o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(9\/12)*(3795\/(-10))\/(-11).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -88. Let f(x) = -x**3 + x - 4. Let j(s) = -3*s**3 + 8*s**2 + 12*s - 25. Let z(u) = -4*f(u) + j(u). Determine z(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204011430 + -5?\nAnswer: 204011424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 - 29*k - 13. Let j be v(-6). Suppose -6274 = -j*q - 613. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1114352961.7291?\nAnswer: 1114352973.7291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433748368?\nAnswer: 2, 173, 349, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.033 + 21.967. Let p = 27.6 - 1.6. Let d = h - p. Sort d, -0.5, 3, 3\/5 in ascending order.\nAnswer: d, -0.5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.0747147ms in days?\nAnswer: 0.00000027864253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 w, and 1 y when four letters picked without replacement from {a: 2, y: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 8*b**2 - 7*b - 11. Let o be p(-6). Let a = o - 459. List the prime factors of a\/5 + (-34)\/85.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r - 4*v + 21, -v = -5*r + 12. Let t be (-25)\/((-250)\/(-40)) + 1*10. Solve r = 3*i + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7844 + -7840. Calculate the smallest common multiple of g and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a + 89. Let f(o) = -o**2 + 27*o - 88. Let j be f(23). Let d be w(j). Solve d*i + x = -4*x + 40, -4 = -3*i + x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150459 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f**2 + 1. Let g = 6 - 7. Let m be w(g). Let d be (-16)\/(-10) + m\/(-30). Solve -4*s = 2*y - 0*y, d*s - 12 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 39 in increasing order.\nAnswer: 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(-2\/27)*p\/((p**(-4)*p)\/p)*p*p**(-2\/7)\/p)\/(p**(-3\/4)*p\/(p\/((p**(-4)*p)\/p)))**5 assuming p is positive.\nAnswer: p**(21547\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056\/(-704) + (-8895)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 9*o**2\/2 + 68*o + 189. Let t be z(-8). Which is the third biggest value? (a) -1\/16 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -4*n**3\/3 - 16*n**2 - 75. Factor o(s).\nAnswer: -4*s*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 2, c: 3}. What is prob of sequence ccy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 361324027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 184268 - -202.\nAnswer: 184470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 445?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - 3*h + 9. Let p be n(-5). Sort p, 12, -3, -4 in descending order.\nAnswer: 12, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-495)\/10)*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 2*a - 2*a + (0 + 0 - 2)*(3*a + 0*a - a) + 19699*a - 25343*a - 31673*a in the form j*a + z and give j.\nAnswer: -37323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c7b10317 - 1?\nAnswer: 1c7b10316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by -6678.\nAnswer: -41\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472761 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/((-45)\/(-2)*(-74)\/((-11840)\/96))?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -1\/6*r**4 + 0*r**3 + 0*r**2 + 0 - 22*r. Let h(k) be the second derivative of -3*k**3\/2 - k. Calculate i(h(z)).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**3\/9 - 46*b**2\/9 + 80*b\/9 - 8\/3.\nAnswer: -2*(b - 1)*(b + 6)*(5*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*w - 4*m, -m = -18*w + 14*w - 1. Let -7\/6*j**4 - 5\/2*j**3 - 13\/6*j**2 - 1\/6*j**5 - 2\/3*j + w = 0. Calculate j.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110 + -60 - -55) + 1 + 1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 3 + 4*c**2 - 6*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21443403.\nAnswer: 3, 7147801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.2827742 rounded to 3 decimal places?\nAnswer: -51.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 28 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x + 436. What are the prime factors of r(27)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 24. Let x(i) = -i**3 + 12*i**2 + 10. Let q be x(12). Let s be h(q). Suppose 5*r + s = 6*r. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 371271.\nAnswer: 3341439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71799ml in litres?\nAnswer: 0.00171799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458595.\nAnswer: 5, 491719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210584272.73 + 3366746.27. Let r = 213950998.0000013 - c. Let s = r - -21. Round s to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015554147 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1606, 3433, 5252, 7063, 8866, 10661, 12448?\nAnswer: 14227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(((-8)\/12)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2345.95 - -2346. Let r be (16\/6)\/((-2)\/(-6)). Let t = r - 58\/7. What is the second biggest value in t, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -c + 19*q + 3, 19*q = -3*c + 2*c + 16*q - 17 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -146852 and -146854 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 - 6*q - 3. Let h = 1 + 6. Let d be s(h). Solve -2*t - d = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)\/o)**20*o**(2\/13)*o**11 assuming o is positive.\nAnswer: o**(-635\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -434\/3, -0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-4)\/(-856)). Let q = s - -188. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.327 + -93.827. Let c = n + 256. What is c rounded to zero decimal places?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 3*p - 6. Let i(v) = v + 14. Let j be i(-14). Let t be d(j). Let w(n) = -n**3 - 6*n**2 - 3*n - 7. Give w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a**2 + a - 1. Let v be l(1). Suppose -8*g + 7*g = -v. Suppose s = 3*p + 7 - 26, 4*p + s - 30 = 0. Calculate the remainder when g is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 5 + 25. Suppose 0 = u - 2*u + 2. Suppose -u*v = -4*r + p*r - 8, 4 = -4*v + 3*r. Calculate the least common multiple of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:12 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**7\/210 - h**6\/20 + 3*h**5\/20 - 4*h**2. What is l in g(l) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*g + 9, -a = 4*g + 8 + 6. Solve -a + 16 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09735639 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 2a4?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, l: 6}. What is prob of sequence ll?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7 = -2*u, -2*u - 5*o + 12 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222011 - 1002121?\nAnswer: 10212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85812 + 4?\nAnswer: 85816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*(-1*sqrt(396) + sqrt(396))*-1 + 0 + sqrt(396) + -1 + -2 + -2) + 3)**2.\nAnswer: -312*sqrt(11) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1109 = 938. Suppose -32*c - 42450 = -h*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44074696357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 405*x - 325*x - 1 + 110*x + 633*x + 749*x to w + v*x and give v.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 1506, -0.0619 in ascending order.\nAnswer: -2\/27, -0.0619, 1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -349 + 581. Let m = l - 697\/3. Let a = -1.7 - -2. What is the nearest to -2\/7 in m, -10, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66263.34 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -48. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*u = -21 - 1, 4*i = -2*u - 22. Let k be 8\/(-6) + (-2)\/(-6). Suppose -1489*l = -1197*l + 483 + 685. Sort i, k, l in decreasing order.\nAnswer: k, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111.6 - -111.586239. Round p to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1072120 and 3829.\nAnswer: 1072120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 - 11*x**3\/3 - 5*x**2 + 11*x - 190. What is b(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l - 2. Let i(b) = 16*b. Determine j(i(x)).\nAnswer: 192*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 77*s**2 + 147*s - 375. Is i(-79) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 2\/(-6))*4\/6*-9. Let v(m) be the third derivative of 0 + 1\/30*m**5 + 0*m**3 + c*m**2 + 1\/120*m**6 - 1\/6*m**4 + 0*m. Calculate v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 140 = 0. Let a = j + -82\/3. Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/12 + 15*s + 13. Let j(m) be the first derivative of y(m). Let n(c) = -c. What is n(j(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 455359?\nAnswer: 71036004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -470\/17, 0.1, 4, -4, 1\/4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 66.4 times 4\nAnswer: 265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 164 + (-106 + 94 - 51)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - i = -6, 2*q - 7*q + 35 = 4*i. Calculate the smallest common multiple of q and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437966534 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 1. Let w(j) = -12*j**2 - 15*j + 15. Let q(x) = -x - 1. Let o be q(0). Let n(l) = o*w(l) + 15*z(l). Let f(a) = -2*a**2. What is f(n(i))?\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289817657 by 619.\nAnswer: 468203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17617 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*z = 22, 0 = -4*s - 5*z + 8*z + 10. Solve 8*t - s*t + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136634 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 37*d = 5*n + 58 + 67 - 45, -d + 9*n = -51 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a - 4*a - a + 2*a to b*a + n and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s*s*s*s**(2\/3)*(s**1)**(-4) assuming s is positive.\nAnswer: s**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 10*d**2 - 2*d + 15. Let l be k(10). Let i(p) = -p**3 - 5*p**2 + p + 5. Let w be i(l). Solve 0*n - 2*n + 2 = w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232676 (base 10) to base 11\nAnswer: 1498a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 41, 0.3, -0.9239 in decreasing order.\nAnswer: 41, 3, 0.3, -0.9239, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4. Let i be o(0). Suppose 0 = 5*c + 5*b - 5, 0*b = i*c + 3*b. Let x = 2.4 - 0.4. Sort x, 0.2, c in ascending order.\nAnswer: c, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 20*l = 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 7*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150995007?\nAnswer: 3, 113, 148471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1420*q**2 + 47*q**2.\nAnswer: -1373*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**5\/25 + v**4\/20 + 2*v**3\/5 - 2*v**2\/5 - 8*v\/5 - 281. Solve l(x) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5600 and 96.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -12, 18, 98, 246, 480?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 835 = -2242. Let n = -93 + r. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 38*r**2 - 20*r - 12. Calculate the remainder when f(2) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 163, 542, 1269, 2458, 4223, 6678, 9937?\n\"Answer: 19*f**3 + 3*f**2 + 3*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*(0 + -2))\/(-1). Suppose 0 = -3*n + h*n. Suppose -3*g = 2*t - 4, -g + 4*t + 8 = g. Solve 0 = -4*r + r + 3*y - 3, n = 2*r + g*y + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 + (-86 - (-154 - -98))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 25. Let x be i(-13). Let m(h) be the first derivative of -h - 1\/3*h**3 + 0*h**2 - 17. Let d(v) = v**2 + 4. Calculate x*d(o) + 4*m(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 18*r = -17*r + 23, -4*d + 4*r + 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.173 in 4, 3\/4, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 2*l**3 + 0*l**3 + (1 - 1 - 2)*(4 - 2 - 1)*(11 + 6*l**3 - 11).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538267?\nAnswer: 538267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.6 + -36. Let r = w - -0.4. Let z = -3.9 - r. Is 0.1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 - 2*s**2 - 10*s - 6 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 30*v**2 - 215*v - 4. Let p(u) = -7*u**2 - u + 2. What is n(i) + 2*p(i)?\nAnswer: 16*i**2 - 217*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7643.8 - -7644. Suppose 56 = -7*o + 3*o. Does a = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 7*i - 145 + 119, 2*i = -4*v + 3 + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/14 - 46*s**3\/21 - 20*s**2 + 2802. Solve b(q) = 0 for q.\nAnswer: -5, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awws when four letters picked without replacement from wsaws.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197\/147 + 1\/147. Let o = -37 - -38. Is g at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -642*37286\nAnswer: -23937612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*g = 157, 3*g + 186 = -2*j + 77. Calculate the common denominator of ((-3)\/(-24))\/(j\/(-50) - 1) and -71\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 14*d + 48, 26*d - 31*d - 17 = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1540 and 78?\nAnswer: 60060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 4, 2\/13, 1\/2, 2 in ascending order.\nAnswer: 2\/13, 1\/2, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 4*j**3 + 10*j + 3 - 27*j + 12*j to the form d*j**3 + z + v*j + i*j**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 37. Let a = 25 - v. Let h = a + 87. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-3)\/2)*8. Let q = t + 8. What is the tens digit of (-2)\/8 + 159\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -5 + 37 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -247386 + 247139 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, 3\/2, -3.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53322705826 - 1665?\nAnswer: 53322704161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/15 - (-17)\/(-20). Suppose 0 = -4*q - q. Which is the second smallest value? (a) q (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80\/11, 0.1, -130, 0.48 in descending order.\nAnswer: 0.48, 0.1, -80\/11, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 2. Suppose -3*s + 0*s + 12 = 0. Calculate q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22142*z - 22138*z - 22139*z - 22147*z + 110709*z - 22145*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -41, -50, -63, -80, -101?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)\/((-25)\/(-10)). Let j = -1.9 + 2. What is the second biggest value in -0.3, j, 4, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 37, 54, 71?\n\"Answer: 17*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-4 - -2)) + -48 + -5 + 52.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.96059 kilograms?\nAnswer: 0.08196059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 + i - 1. Let u = 44 - 43. Calculate r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**3 - 6*n**2 + 25*n**2 - 10*n**2 - 8*n**2 in the form w*n + i*n**2 + b + r*n**3 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 2 = -8*r. Suppose r*h = -2*h - 5*s + 13, -4*h - 4*s = -12. What is the units digit of 2 - (-124 + h\/(-5)*-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76) + sqrt(76))*-3 - sqrt(76))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 3*n**2 + n - 6. Let v(d) = 3*d**3 - 5*d**2 + 2*d - 9. Let w(t) = 5*v(t) - 7*y(t). Determine w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2905, 5822, 8737, 11650, 14561?\n\"Answer: -x**2 + 2920*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - a - a = -114, -2*a = -2. Let b = i - 42. Is (-22)\/4*b\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233924766.8 + -233924603.6000699. Let u = a - 163.2. Round u to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5226655570 rounded to the nearest 1000000?\nAnswer: -5227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11992, -19079, -26172, -33271, -40376, -47487?\nAnswer: -54604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10196520.\nAnswer: 2, 3, 5, 31, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406912947?\nAnswer: 11, 103, 953, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 123. Calculate the greatest common divisor of 703 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260782447 is divided by 4122.\nAnswer: 4117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2848 and 785692.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -2\/9, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-7\/3)\/u*u**(18\/7)*(u**(-3))**1 assuming u is positive.\nAnswer: u**(-58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 264 = 3*x. Suppose -4*u + x = -44. Calculate the remainder when u is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2220\/(-185)*(-10)\/(-5)*-1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79864 (base 16) to base 3\nAnswer: -221021210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.6 and -4878.95?\nAnswer: 4895.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 131577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 2}. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((18 - -1) + -3). Calculate the common denominator of 3 + 1 + -4 + 29\/(-6) and 56\/(-20)*r\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8022945 and 2180?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t + 25 = 61*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3363.257 decades to millennia.\nAnswer: 33.63257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-14) + 14\/(-4). Let f(w) = -w**2 - 4*w. Let u be f(j). Solve 4*r + 4*y = -20, -10 = -3*r - u*y + 5*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 7325 (c) -0.5 (d) -15 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6 - (12 - 17)) + (25 + -10 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/18 - 38\/48?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8580705319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 15*i + 12. Let j(l) = 3*l**2 + 15*l + 12. Let p be (-68)\/(-14) + 8\/56. Let b(a) = p*j(a) - 6*y(a). Factor b(f).\nAnswer: -3*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -11.6. Let k = p - 0.8. Let r = -1\/185 + -351\/3515. Which is the second smallest value? (a) k (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 40 = -35*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 3.0139?\nAnswer: 3.0139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2. Let n be g(1). Suppose 0 = 2*l - s - 9, -l + 4*s - n = -2*l. What is the highest common divisor of l and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/355 - 1922\/2485. What is the closest to -0.05 in -0.1, -4, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7934, 7665, 7430, 7247, 7134?\n\"Answer: 3*k**3 - k**2 - 287*k + 8219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 19. Suppose -2*a + 35 = 3*a. Let u be s(a). Find the third derivative of 8*t**u - 2*t**6 - 10*t**2 + 7*t**6 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -191*v + 5163. Let g be j(27). Let m(u) = u**3 - 7*u**2 + 9*u - 11. Determine m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 0.2 (c) 1 (d) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29899594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -469 in increasing order.\nAnswer: -469, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214.02 - -212. Let i = -0.02 - y. Let x = -171 + 172. What is the second smallest value in x, i, 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5206*s + 854*s + 5.\nAnswer: -4352*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5974841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.1 (c) -0.09004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4)*(17 + 0). Let r(q) = -3*q**3 + q**2 - 35*q + 29. Let j(i) = -i**3 - 12*i + 10. Let h(l) = t*j(l) - 6*r(l). Let m = -8 - -13. Calculate h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16999.28 * 3.\nAnswer: 50997.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344658 and 35970?\nAnswer: 18956190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(3\/6). Suppose 5*m = k + 6, k - 14 = m - r*k. Find the second derivative of t + 0*t + 2*t**m - 2*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-7 - -11)) + (1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 36*t + 722. Determine f(20).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -1205?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/33 <= 19.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*q - 27, 2*q + 21 = z + 6. Let l(v) = -v**2 + 21*v - 20. Let o be l(z). What is the tens digit of (-19)\/((-2)\/(o\/(-2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/16*1*-2)\/((-44)\/88). Let x be (-2)\/(-6) - 13\/3. Put 87, x, a in decreasing order.\nAnswer: 87, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 3.02?\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.54\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1253\/21)\/(2240\/(-672)) - 7\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**3\/3 + 150*y - 125. Let g(w) be the first derivative of i(w). Let v(m) = 34*m - 1. What is v(g(j))?\nAnswer: -68*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1570, 7, 5 in decreasing order.\nAnswer: 10, 7, 5, -1570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506493396.\nAnswer: 2, 3, 23, 611707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 98, -987, -2768, -5245, -8418, -12287?\n\"Answer: -348*k**2 - 41*k + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168403 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 4*d**3 + d**3)*(-22 + 30 - 15) - d + d - d**3 + (3*d + d + d)*(d + 0*d + 0*d)*(3 - 3 + 6*d).\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/17901 and 77\/13770.\nAnswer: 179010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112355, -224611, -336861, -449105, -561343, -673575?\nAnswer: -785801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4 - 2*x**3 + 0 - 5*x**2 - 2*x**3 + 3*x**3 - x. Let h be ((-1)\/2)\/(1\/10). What is g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -30. Let f be (6 - q) + (-4)\/2 + 1. Let x = f + 149. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3073.\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7+-4618.2\nAnswer: -4625.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 5350050?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11043211 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(12 + -4) - (-3)\/6. Factor -2\/3*u**2 + 4\/9*u + d + 2\/9*u**3.\nAnswer: 2*u*(u - 2)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 80. Let s be v(27). Let d be (84\/(-63))\/(s\/54). Let j = 0 + 12. Calculate the greatest common divisor of j and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7362161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 189365255 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67c + -1?\nAnswer: -67d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t**2 - 7*t + 9. Let d be u(6). Suppose 0 = d*x - 30 + 84. What is the common denominator of x\/(42\/(-27) - -2) and -99\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = -2*d, 0*d + 5*c = 3*d + 21. Let u be 24\/10 - d\/(-5). Let q be (0 - -1)\/(34\/170). Solve q*l - 10 = -5*p, -u*p + 1 = 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a**2 + 27. Let d(i) = -7*i**2 - 13. Calculate -13*d(s) - 6*h(s).\nAnswer: s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1038*u + 117269. Give x(113).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 11*g - 8*g. Let m(o) = 140*o + 0 + g - 139*o. Let b(h) be the second derivative of 25*h**4\/12 + 2*h. What is m(b(i))?\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 137867 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.6, -4, -0.4 in ascending order.\nAnswer: -4, -0.6, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*u + 14. Suppose u = -4*i + 3*a + 1089, -2*i - 8*a + 6*a + 534 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72571.42km in meters?\nAnswer: 72571420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 345937.9 * -0.45\nAnswer: -155672.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - ((-76 - 5) + 61)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.1, -1\/3, 441?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**5 + 66 + 70 - 115 + (6 - 4 - 1)*(0*u**4 + 0*u**4 - 2*u**5) - 3*u**2 - 3*u**5 + 3*u**2.\nAnswer: 5*u**5 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-4)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 74, 265, 634, 1241, 2146, 3409, 5090?\nAnswer: 7249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1116, 1189, 1362, 1683, 2200, 2961?\n\"Answer: 8*t**3 + 2*t**2 + 11*t + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/10 - (-4)\/(-40)*4. Solve -o*v + 2*l + 8 = 0, -4*v + 6 = 4*l - 6*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-3*sqrt(2736) + 5))**2.\nAnswer: -72*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-50)\/(-30)*(-18)\/24*14.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61530974 and 846202.\nAnswer: 430716818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 1204141*t**2 - 4816548*t.\nAnswer: -t*(t - 1204137)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23129072608\/15951195 - 311\/118157. Let w = -1450 - t. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j. Suppose 8*g = 5*g + 6. Let w(r) = -r**2 + g - 5 - 2*r - r + 6*r. Let p(q) = -q**2 + 5*q - 5. Let f(s) = -3*p(s) + 5*w(s). Determine h(f(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82\/15? (a) -0.4 (b) -1 (c) 2 (d) 3 (e) -2.51 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/6 + -2\/3. Is 0 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.7 - 6. What is w rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 99*n - 169*n = -21386. Let t(m) = 6*m**2 - 3*m - 1. Let d be t(-2). Let a = d + n. What is the remainder when a is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114*(((-60)\/(-270))\/((-4)\/(-57)) - 3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h + 3*r - 9, 4*h - 3*r = 5. Suppose -9*i - h*i + 308 = 0. What is the least common multiple of 24 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.669*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x - 47. Let c be r(-7). Suppose -11*s = -c*s + 130. Solve 0 = -2*o - s + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {l: 3, i: 5, t: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + y + 2*y = -3, 0 = 4*m - 3*y - 9. Suppose 40*d + 5*s + 8 = 42*d, d - 3 = m*s. What is the third smallest value in 4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1810771 divided by 6.\nAnswer: 1810771\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 51, -3, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3192*z - 3081*z**2 - 1581*z + 1 - 1612*z to the form r*z**2 + b*z + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -190*d**3 - 6*d - 6. What is the lowest common multiple of w(-1) and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 47*s + 3369. Give o(-71).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*j = 148*j + 4440. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869 + 2431 = 275*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + 694*f + 1764. What is y(52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*w**5 + w**4 + 3*w**3 + 87*w**2 + 21*w wrt w?\nAnswer: -8100*w**2 + 24*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f8 + -19272?\nAnswer: -1907a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 45 = 12*m. Is 7 a factor of ((-4)\/m)\/2 + (-276)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31865 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.32 and -0.99559.\nAnswer: -2.31559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (183 - 85 - 2*u - 79)*(0 - 2 - 1)*(1 - 2 + 5*u - 4*u) to the form o + r*u**2 + h*u and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 17. Sort 2, z, 1, -1 in decreasing order.\nAnswer: 2, 1, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 82 in increasing order.\nAnswer: 0, 1, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 10*j**2 + j - 6. Let p(u) = -u + 2. Let v be p(-8). What is the remainder when -11*(-3 - -1)\/2 is divided by x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308192 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473.2952 less than -165?\nAnswer: 1308.2952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 48611.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2260 is divided by 717?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 + 6*u + 2. Let l be k(7). Let o = -3 - l. Round o to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - v - 21 = 0. Suppose -44 = -5*z - 3*l, 2*l + 50 = v*z + 16. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83185237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqi when three letters picked without replacement from {q: 2, i: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1\/8, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -20, -37, -56, -77?\n\"Answer: -u**2 - 12*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*j - 107*j - 24 = 0. Solve 2*v - j*v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370255 + 5*b - 370255.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2 + 3. Suppose x*v + u = 20, -2*u - 2*u + 5 = -5*v. Suppose 3*f = 4*d - 13 - 18, 0 = -v*d + 2*f + 23. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134053 (base 6) to base 7.\nAnswer: -51423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/2)\/(-2*(-11)\/(-22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 32 = 9. Which is the second smallest value? (a) 4 (b) -3\/7 (c) -3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0542 - -2.0542. Sort 1, -1, -2, w.\nAnswer: -2, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 783 in descending order.\nAnswer: 783, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -13945 (c) -1\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17148794 is divided by 1150.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550)*4)\/sqrt(11))\/sqrt(2))\/(sqrt(720) - (sqrt(720) + sqrt(720) + -4*sqrt(720)*1 + sqrt(720))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -16\/9 + 2\/9*u**4 + 14\/9*u**2 + 22\/9*u**3 - 2\/9*u**5 - 20\/9*u = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 - 2*v - 3. Let y(w) = 3*w**2 - w - 1. Let n(x) = -3*p(x) + 8*y(x). Calculate n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -810539, -810537, -810533, -810527, -810519, -810509, -810497?\n\"Answer: d**2 - d - 810539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-380)\/165*-6 + (-38)\/(-209). Solve 17*p = 20 + t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-12 - (-6 - 0)) + (3 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*m**2 - 23*m**2 + 47*m**3)*(4*m + 4*m**2 - 1 - 2*m + 6*m**2).\nAnswer: 470*m**5 + 94*m**4 - 47*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -128. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**9)**(6\/29) assuming d is positive.\nAnswer: d**(-108\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-1\/4))\/(z*z**7))\/(z**(2\/3))**(3\/22)*((z*z**(1\/9)*z)\/(z*(z\/((z**(1\/6)\/z)\/z))\/z))\/(z*z*z**(-1)\/z)**(-12) assuming z is positive.\nAnswer: z**(-2401\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/((-385)\/(-100) - 4) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 9*m)*(3*m + m - 2*m)*(-m**3 + 0*m**3 + 4*m**3).\nAnswer: 54*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose -3*d + w*d + 105 = 0. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -304\/5*c**2 + 146\/5*c**3 + 1\/5*c**5 - 16 - 24\/5*c**4 + 261\/5*c.\nAnswer: (c - 16)*(c - 5)*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5. Let v(a) = -a - 15. Let w be v(-19). Let o(p) = -1. What is w*t(s) - 20*o(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-39)\/6)\/13)\/(1 + -3). What is the third biggest value in -4, 2\/15, -1.3, p, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (12\/(-16))\/((-2)\/(-8)). Suppose j = -4*w - 27 + 83. Solve -4*q = 5*x - 0*x + 28, -w = 3*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.118113 and -2.\nAnswer: -0.236226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*v + 10, 0 = 2*j + 4*v + 9 + 3. Suppose 58 = i + 5*u + j, 2*u = -2. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -52 (base 6) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*r = -3673, -3*a + r + 289 = -1908. What are the prime factors of a?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-12)*39\/26.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*f**2 + 10*f - 71*f**2 + 31*f**2)*(-47 - 40 - 7) as o*f**2 + c*f + x and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33323132 (base 4) in base 5?\nAnswer: 4041441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 8*f - 2*w + 11, 5*f + w - 28 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -1 (b) 0.5 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45086 or 45204?\nAnswer: 45204","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -134. What is the remainder when 154 is divided by 13\/(6\/v*15\/18)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6. Let p be s - (6 - 3 - 2). Solve w - 1 + p = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * 0.1999.\nAnswer: 0.63968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*q + 2926, 0 = -z + 5*z - 3*q - 2921. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 7*a - 4. Let x be u(-6). Let t = x + -98. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Suppose -u + 1 + a = 0. Factor 0*p**4 + 0*p**4 - p**4 - p + p**3 + p**u.\nAnswer: -p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16048851 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npoo when four letters picked without replacement from {b: 3, o: 3, n: 7, p: 2}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, j: 1}. Give prob of picking 1 j and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-4)\/(-8)). Let r = w - -3. Does 11 divide 10 - (r + -1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Suppose 5*g = -5*a + 955, -4*g - q*a + 759 = a. Suppose -v + g = -5*z, -4*v - 4*z - 342 = -6*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 - 29)*(0*x + 0*x - 4*x).\nAnswer: 176*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*k = -396*k + 1087 - 373. Calculate the highest common factor of k and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 793867?\nAnswer: 1587734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 3}. Give prob of sequence aaq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27470, -27461, -27446, -27425, -27398, -27365, -27326?\nAnswer: -27281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8340.89 millilitres in litres?\nAnswer: 8.34089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3319*r + 292820*r**2 - 617*r - 3324*r + 45.\nAnswer: 5*(242*r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1165847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -144. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -q + 2*q + 3*s, 3*s = q - 40. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 160 - 192 + 286 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -545? (a) -3 (b) -426 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13.529598ns?\nAnswer: 0.0000000002254933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4586 - -20350. Suppose 4*j + z = 11*j. Suppose -j = -11*k + 201. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(245)*5)**2 - (sqrt(245) - (3*sqrt(245)*-3 - sqrt(245))))*4.\nAnswer: -308*sqrt(5) + 612500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6. Let r(q) = q**2 + 1. Let o be r(0). Let m = o - p. Solve c = -2*c - m*f - 17, 0 = 4*c + 3*f + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -187 (c) -3\/5 (d) 0.1 (e) 1\/3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/3)\/((-6)\/(-4)). Suppose 4*q - 31 = 5*r, 2*q - 6 = n*r + 8. Suppose -q*j + 0*j = -4. Solve 0 = 3*p + 2 + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 940 and 94.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 30 - (-4 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1680 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/154 - 24\/(-11). Solve -f*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a factor of 233445441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 21\/(-15)*(-10)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 1)*(-95*x**4 - 1322*x**4 + 121*x**4).\nAnswer: -10368*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.51616001 to 4 dps.\nAnswer: 2.5162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204861453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -13\/5*p**5 + 55\/2*p**2 + 62 + 0*p + 0*p**3 + 0*p**4. Find the second derivative of y(a) wrt a.\nAnswer: -156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-155)\/25 - -5)\/((-3)\/(-40)). Let t be ((-3)\/12)\/((-3)\/(-12)). Put 4, j, t in descending order.\nAnswer: 4, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzw when three letters picked without replacement from wzpwzzww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 3. Let y be l(-6). Let w be (1 - -1)\/((-6)\/y). Is (-337)\/w - (-8)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121612302 + 0.0577.\nAnswer: 121612302.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 + y**4\/2 + 5*y**3\/3 - 2*y**2 + 20*y. Determine t(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let s = -0.17 - -0.37. Which is the third biggest value? (a) k (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*f - 2*f - 2*f)*(2*f - 3*f + 0*f) - 5*f - f**2 + 5*f)*(0 + 4 - 3) to a*f + w + b*f**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.076 + 5.276. Let z = -5.129 + r. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17601 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 233.3778 millimeters?\nAnswer: 233377800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 468 = 18*o. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5646250 and 9034000.\nAnswer: 45170000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 1\/5 (c) -24 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 32. Let g = u - -3.91. Is 2\/7 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*z - 18 - 132, z = c + 26. Let g be 3\/2 + -1 + 1274\/c. What is the units digit of 10\/g - 1516\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4911?\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/20 + 3*j**4\/4 + j**3\/2 - 7*j**2\/2 - 2*j. Let d be v(9). What is the greatest common factor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239308*((-6)\/1 + 4)*1\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - z - 20 = 0, 1 = -4*l + 3*z - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:37 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -283, 10203, 0 in increasing order.\nAnswer: -283, 0, 10203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5 - 5)*(4*j**2 + 28*j - 28*j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:00 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001419819 to 6 dps.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*x + 651320 = 111*x. Let h = x - 2322830. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42904 divided by -619\nAnswer: -42904\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 529544.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -404*b**2 + 8*b**3 + b + 204*b**2 + 215*b**2. What are the prime factors of g(3)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-43)\/(-215))\/(2\/188350)?\nAnswer: 5, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 952964, 1905927, 2858884, 3811835, 4764780, 5717719?\n\"Answer: -3*w**2 + 952972*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/10 - 13*f**4\/5 + 27*f**3\/5 + 12*f**2\/5 - 89*f\/10 - 3 = 0.\nAnswer: -1, -1\/3, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(3) - sqrt(12)*2) + 4 + sqrt(243) + -2.\nAnswer: 7 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.834 in 6, 20.7, -2\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115804519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 11 = 3*m + 2*s, 4*m = -4*s + 12. Let z = 0.953 + 0.047. Let d(t) = t + 1. Let r be d(1). Which is the closest to m? (a) r (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(4 - 2)\/2. Suppose -4 - 4 = -4*z. Find the second derivative of i**2 + 2*i**d - i**z - i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 21 + -2 + 2. Is (-6)\/q*4*(-44)\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d - d?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2ce29 (base 16) to base 8\nAnswer: 547051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 8. Calculate r(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 161 = 3*c - 3*o, -3*o = 4*c - 205. Suppose 93*n - 91*n - 1 = -y, -n = 5. What is the remainder when c is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000583389 rounded to 7 dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 3 - 15*o + 13*o + 4*o - 6*o + 0*o + (1 + 4 - 3)*(-o - 3*o + 6*o) - o + 2*o - 2*o + 7*o - 4*o + 2*o.\nAnswer: 4*o - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*sqrt(72)\/sqrt(4).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -11*w + t, -4668*w + 4673*w + 3*t = -0*t + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 29, 5, -2, -9.\nAnswer: -9, -2, 5, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y)\/(y\/(y*y**(-10))*y)*((y**(-4)*y)\/y)**3 assuming y is positive.\nAnswer: y**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -46. Suppose p*n - 5*x + 9*x + 60 = 0, 5*n + 78 = -2*x. List the prime factors of 6\/(-14) + n*(-261)\/42.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1486138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46075 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -407 + 406.9602. Let x = 0.4602 - s. Which is the closest to 0.1? (a) -3 (b) x (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -25. Let h be (-18)\/(-15) + (-3)\/d. Solve u = -r + 2, -5*r + 19 = -5*u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 9*o - 10. Let t be b(7). Sort 13, t, 5 in descending order.\nAnswer: 13, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from puhfuth?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 4*u + 2. Let s(d) = -3*d**2 + 9*d - 12. Let h be s(2). Let n(j) = 7*j**2 - 5*j - 2. Give h*k(o) - 5*n(o).\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -46\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 27*q**5\/4 + 56*q**2 - 69*q. Differentiate g(d) with respect to d.\nAnswer: 405*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -16 - (2 - -4) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 25835. Let q(a) = -16*a. What is j(q(l))?\nAnswer: -32*l - 25835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 3*l**2 + 4*l**2. Let g be (4\/6)\/(6\/18). Let d(r) = r - 2. Let w(t) = 3*t - 9. Let j(z) = g*w(z) - 9*d(z). Give b(j(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 30*u**2 + 11*u - 15. Calculate the lowest common multiple of 60 and v(7).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 24402*n - 60419351. Determine u(2476).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3*g - 5. Let x be y(5). Suppose u = s + 4*s - 1415, 10 = 2*u. Suppose x*p = 2*t - 204, 3*t - s = -3*p + 5*p. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 28*o + 5. Let i(b) = -13*b - 2. Let s(k) = 6*c(k) + 13*i(k). Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, 4, 62241 in descending order.\nAnswer: 62241, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6304*h**2 - 2*h + 11. Let o(n) = -336*n. Give a(o(x)).\nAnswer: -711696384*x**2 + 672*x + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 + 0*t + 0*t)*(11 - 4 + 8) + 93*t - 93*t - 31*t**2 + (-1 - 2 + 1)*(2*t - 2*t - 2*t**2) + 0 + 2*t**2 + 0 as b + o*t**2 + g*t and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -2*v, 2*t - 5*t + 25 = -5*v. Let q(m) = -3*m + 2. Let z be q(-5). Let f = z + -13. Sort v, -1, f.\nAnswer: v, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8409, -33645, -75713, -134613, -210345?\nAnswer: -302909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 221476135 - 0.2666\nAnswer: 221476134.7334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6*r - 3528 = 0. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2789, -2804, -2831, -2876, -2945, -3044, -3179, -3356?\n\"Answer: -m**3 - 8*m - 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5, -12 = -2*d - 5*i + 9. Suppose 20*q = d*q - 795. List the prime factors of q.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 162*i**2 + 684*i + 696 = 0.\nAnswer: -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10028362 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(900)*1 + sqrt(900))*-3 - sqrt(900))*-5)\/(1*((2*sqrt(84) - sqrt(84))*3)\/sqrt(7)).\nAnswer: 175*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.1. Let w = -561.7 + 630. Let z = w + -67.8. What is the closest to z in i, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j. Suppose 4*d - 43 = d + 4*a, j = 3*a - 6. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1118 + 2229 - 1122 - 18*d)*(2*d - 1 + 1).\nAnswer: -36*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -37, -58, -83?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 515074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4420860 divided by 36\nAnswer: -368405\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -25*w**2\/2 + 5*w - 687. Let q(l) = -l**2. Calculate b(q(h)).\nAnswer: 25*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.289 + -1.289. Sort q, 0.2, 3, 5 in ascending order.\nAnswer: 0.2, 3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 7*r**2 + 6*r - 3. Suppose -q + 10 - 7 = 0. Suppose f + q = -2. Let u be y(f). Calculate the greatest common divisor of 119 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let m(o) = 21*o**3 + 2*o**2 - 1. Is 11 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(147))*1*5 - (3 + 0 + sqrt(147) - (sqrt(147)*-1 + -5))) + -2)*5.\nAnswer: -25 + 105*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*f**2 - 2*f + 0)*(-4*f + 3*f + 3*f)*(-1 + 6 + 1).\nAnswer: -36*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**4*y + 5*w**4 - 27*w**3*y - 2*w**2*y + w**2 + 4*w*y + y wrt w?\nAnswer: -72*w*y + 120*w - 162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:35 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/(931\/399)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 12 = -4*l, -2*t + 313 = -l + 316 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 1, y: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -89.99999933. Round j to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -24. Solve 5*c - 2*n = n - o, -3*c + 5*n - 21 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - h - 2243 = 0, -4*m + h = -0*h - 1795. Calculate the highest common factor of m and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b*b\/(b\/b**2*b)*b)*b)\/b)*b*b)\/b)**(1\/6))**(12\/11)\/((b*b\/b**0)**44)**(-1) assuming b is positive.\nAnswer: b**(976\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14))\/(20\/(-35)). Let s(m) be the second derivative of r*m**2 - 1\/6*m**3 - 2*m + 0. Differentiate s(v) with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-20)\/(-120) + (-1054)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t + 64 = 71*t. Solve 3*f - 3 = 5*v + 13, -t = -3*f + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3)*i)\/i)\/i)**(-14) assuming i is positive.\nAnswer: i**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 48 = -3. Let o(b) = -18*b + 42*b + 96*b**2 - 94*b**2 - z*b - 4. Let u(w) = -w**2 - 4*w + 2. Calculate -2*o(v) - 5*u(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10721042.6723 and 0.049?\nAnswer: 10721042.7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 27. Let r(f) = 3*f - 79. Let s be (-62)\/155*20\/(-1). Let d(t) = s*a(t) - 3*r(t). Determine d(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 5*f - 7*z, 33*f + z + 9 = 34*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:54 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36871373, -36871370, -36871367?\n\"Answer: 3*k - 36871376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 3*d + 39, 0 = 2*m + 2*d - 16. Let w(l) = -l + 3. Calculate w(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39585 and 316995.\nAnswer: 119507115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2119071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.84 and 475?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 10*h - 8. Determine b(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p - 2. Let c be i(6). Let q be c\/((1\/15)\/1). List the prime factors of (10\/q)\/((-1)\/78).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000101100 (base 2) to base 14.\nAnswer: -1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.1, 0.2, 5\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011 - 2110220?\nAnswer: -2100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*i - 1023 = 0, 2*j + i = j + 519. Suppose 9*d - 5*d - j = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 a when four letters picked without replacement from {c: 2, i: 4, a: 3, m: 5, s: 5}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 35. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-28 + 10 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2*r - 2*r + 3*r - 2*r + r + 2*r + r - r + 2*r + (0 + 3 - 4)*(-r + r - r) + 1 - 1 + 2*r)*(-1 + 1 + r**3).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.039*-0.6\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (13 + -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 565.3.\nAnswer: -1695.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2916 and -488024.\nAnswer: -488024.2916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 214, 211, 212, 223, 250?\n\"Answer: l**3 - 4*l**2 + 2*l + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1142579.\nAnswer: -3\/1142579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 3. Let n(w) = -w - 3. Let x(y) = 2*i(y) + 3*n(y). Suppose 35 = 7*u - 2*u. Let h = 13 - u. Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 40*z. Let y(c) = -39*c. Let x = 1387 - 1384. Give x*y(s) + 2*q(s).\nAnswer: -37*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 65 = -15*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 21*k - 40 = -39*k + 15*k - 259, 0 = 4*x - 4*k - 52 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a hour in seconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/3, -7776?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u + 2*u + 7*u to p*u + a and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -2*l, 0 = -3*l + m + 1 - 5. Let g be (-169302822)\/10 - l\/5. Let i = g - -24030282. What is i rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2*7765.\nAnswer: 17083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1766589\/49 - 1648918037\/45766. Let c = g + -6\/467. Calculate the common denominator of 63\/5 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*f - 2, -4*f = -0*f - 4*h - 16. Let j(a) = 6*a - 1. Calculate the remainder when 32 is divided by j(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -88. What is the common denominator of 122\/a - 4\/3 and -41\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/5 + 564*o**2\/5 - 2208*o\/5 + 2192\/5.\nAnswer: -4*(o - 137)*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 2. Let c be p(0). Let h be 0 + c + 0\/(-2). What is the first derivative of 3 - 1 - h*z**3 - 4 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70991.84 to the nearest one hundred.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, -1861, -14, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0.4, -14, -1861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 4\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*z + 15*z + 12*z)*(-5 - 2 + 1)*(-3*z**2 + 2*z**2 + 2*z**2).\nAnswer: -102*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -3\/287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 133*s - 3835. Determine f(42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 + 7*c. What is n(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 14952004*u + 55890605904004 = 0. Calculate u.\nAnswer: 7476002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -2328, 1\/10, 4, 0.5, 3, 0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 3. Suppose 32*d - 85*d + 265 = 0. Let n(y) = -3*y - 2. Determine d*z(g) - 4*n(g).\nAnswer: 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*g = 7, 0 = -24035*l + 24032*l + g + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 995271311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968, 4017, 6062, 8103, 10140?\nAnswer: 12173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -24*t - 4. Let l(u) = -19*u - 4. Let c(q) = 5*l(q) - 4*z(q). Suppose 0 = -23*o + 21*o + 8. Give c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 4*v + 4. Let c = 35 + -33. What is the units digit of i(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 12\/7*a**3 + 0 - 74\/7*a**2 + 2\/7*a**4 + 60\/7*a = 0.\nAnswer: -10, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**2 - 1\/18*y**3 - 90*y + 1\/126*y**7 + 1\/18*y**4 + 0*y**5 + 0 - 1\/45*y**6. Factor t(w).\nAnswer: w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 15*g + 51. Calculate f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:10 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6647, -13380, -20135, -26906, -33687, -40472, -47255, -54030?\nAnswer: -60791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 890*j**2 - 1028*j - 122006. Calculate u(-891).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iykyyyeikkk. What is prob of sequence kk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 - 181 - (-15 - 4) - (2 + (-90 - -2))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1550 - 20157?\nAnswer: -16407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15383628.\nAnswer: 2, 3, 13, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 116*n**2 + 9868*n + 89. Calculate u(47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6038385 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - n - n + (-6 + 2 + 2)*(-4 + 4 - n) + (-1 + 6 - 1)*(3*n - n + 0*n) + 3*n + 0*n - 4*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = -0*b. Let s = -21 + 47. Suppose -s - 66 = -4*j. Solve -2*k = b, 0*n - 4*k - j = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43351 - -186972861\/4313. Let j = -254471\/8626 - s. Calculate the common denominator of j and (-4)\/80 + (-1)\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-8*a - 339*a**2 - 15*a**3 + 339*a**2 + 2).\nAnswer: -30*a**3 - 16*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25929 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 the value of 28\/7*119\/408?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240*t**4 - 239*t**3 - 15*t**2 - 5043*t - 2.\nAnswer: 5760*t - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -315 + 1?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 362495 + 250865 = -17*r. Does 68 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3481678608 and 1.\nAnswer: 0.6518321392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.5 (c) -2598447.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let n(v) be the first derivative of 3*v**2 - 10*v - 18. Let q(f) = n(f) + 3*o(f). Differentiate q(i) with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15485 - 15490. Sort s, 4, 1\/7, 1\/13, 7 in ascending order.\nAnswer: s, 1\/13, 1\/7, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1674113mg?\nAnswer: 0.0000001674113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -17*p**5\/12 - p**4\/24 - p**3\/6 + 5*p**2. Let k be u(-1). Let q = k - -130. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = 31 - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 175850 - 0?\nAnswer: 175850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -223101?\nAnswer: 223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(-16*31\/3720)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 + 1 + 10 - 16*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 4, x: 3, u: 4, v: 2}. What is prob of picking 2 v and 2 f?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + z - z. Let y(n) = -31*n + 1. Let c be y(-2). Let x(p) = -31*p - 9*p**2 + c*p - 32*p. Give x(d(g)).\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85310 - 13905529\/163. Suppose -2*c = -0*c. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 118394*t - 45 = -118389*t - 282, 4*a - 3*t = -155 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 13*j**2 - 5*j + 4. Let s(y) = y**3 + 12*y**2 - 4*y + 3. Determine 4*s(l) - 3*v(l).\nAnswer: l**3 + 9*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 2, 330, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4932 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(60)\/sqrt(5))**2 + sqrt(12) - sqrt(36)\/(sqrt(60)\/sqrt(5))) + -3*(sqrt(33) + sqrt(33) + sqrt(198)\/sqrt(6) + sqrt(33))\/sqrt(11) + -2.\nAnswer: -10*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 1 f when three letters picked without replacement from {m: 3, n: 2, k: 3, w: 1, f: 1, c: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 40*f - 56. What is s(44)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*k - 252, k = -2*z + 1086 - 963. Suppose 56 = a - 4*q, 0 = -4*a - 6*q + 3*q + 243. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**5 - 772*u**4 - 3072*u**3 + 231856*u**2 + 563584*u + 188160 = 0. Calculate u.\nAnswer: -15, -2, -2\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 5 - 30. Suppose -x = 4*p + 11 - 0, p - 21 = -b*x. What is the second derivative of 14 + 2*y**5 - 2*y + 5*y**x - 8*y**5 - 5*y**3 wrt y?\nAnswer: -20*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 28 - 44. Calculate the lowest common multiple of ((-7056)\/420)\/(q\/(-10)) and 16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 2269 - 429. Suppose b = -5*h + 422, -5*h - r + 644 = -3*b. Let f = h - 27. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2212989473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1670.21273 and -1.41.\nAnswer: 1668.80273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488111500 rounded to the nearest 100000?\nAnswer: 488100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*l + 17. Let j = 0 - -4. Let w be 5 - j - (-32 + 1). Calculate the greatest common factor of l and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -20. Let o = q + -24.1. Round o to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27568*k**2*n*z + 2*k**2*n + 2*k**2 - 2228*k*n*z - 2*k + 4065*n - 14042 wrt z?\nAnswer: 27568*k**2*n - 2228*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -925\/81 or -10?\nAnswer: -925\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -5788 + 4696. Calculate the remainder when 232*(-2)\/(-2) - 0 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 take away 987818487?\nAnswer: -987818482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/117 - 835\/(-65)) + -4. Solve b = -c + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 = o, o = z + 1 - 0. Suppose 4*b + 10 = 2*b. Are z and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (55\/3 - 1) + 10\/15. Let c = g + -2. Let o(i) = -5*i - 5. Let t be o(-17). Calculate the highest common factor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209)*3 + sqrt(209)))\/(sqrt(11) + (-5*sqrt(88))\/sqrt(8)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/6 - 9*v**2\/2 + 43*v. What is b(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 - z. Let m(t) = -4*t**3 - 15*t**2 - 14*t + 1. Let o(x) = -m(x) + 5*r(x). List the prime factors of o(20).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*p + 2*p + 2350, 3*p = 15. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 3286107.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1684a (base 13) to base 6\nAnswer: 531445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -5 - (0 - 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*12\/9 - 1. Suppose 4*l - 3 = -y*o - 2*o, -o + 12 = -3*l. Find the second derivative of -4*t**4 + o*t + 5*t + t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6287328.\nAnswer: 2, 3, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(((-3)\/27)\/1). Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 3*a**2 + 3*a**2)*(7 + 3*a - 7)*(-7 - 1 + 1) + 0*a**3 + 2*a**4 + 0*a**3.\nAnswer: 23*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385870?\nAnswer: 2, 5, 47, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 14756*x = -14763*x - 43, 0 = 4*x + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436007460 divided by -210.\nAnswer: -2076226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15494, 61957, 139386, 247775, 387118?\n\"Answer: -b**3 + 15489*b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/120 + v**5\/45 + v**4\/72 + 3*v**2 - 9*v. Let r(q) be the first derivative of h(q). Factor r(j).\nAnswer: j*(j + 1)*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (50\/3)\/(5\/60). What is the derivative of d - 37*l**3 + 133 + l**4 - 404 wrt l?\nAnswer: 4*l**3 - 111*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*i = -5*i, 0 = -3*p - 2*i + 20. Suppose -n + 12 = 2*m - p, m + 2*n - 14 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1105\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Suppose 5*u = -5*q + y, -5*q + u + 2 = 3. Let v be ((-10 - -1) + q)*-1. What is the highest common divisor of v and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 436\/18 - (-11)\/(396\/(-8)). What is the greatest common divisor of t and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 7*y - 685 = -744, 80 = 4*k + 5*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 31. Give i(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13136 and 32.\nAnswer: 26272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 957 = 4*f, 3*f + 9*m + 715 = 4*m. Suppose -3*q + 294 = -3*p, 6*p - p + 4*q + 463 = 0. Let u = p - f. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-3 - (-2 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630445551 to the power of 1\/2, to the nearest integer?\nAnswer: 25109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 48*l - 239. Calculate k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**5 - 161*v**3 + 2*v**2 - 131.\nAnswer: 240*v**2 - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Suppose 0 = -d*y + 3, -3*v + 3*y = -0*v + 18. Calculate the common denominator of 6 and 76\/100*v\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316947, -316950, -316953?\nAnswer: -316956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.57*-16.6\nAnswer: 9.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70150 and 400?\nAnswer: 561200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. What are the prime factors of (-1)\/(t + 2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-7))\/((-7)\/49). Suppose -w*t + 605 = -4*n, 2*n + 615 = 5*t - 0*n. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oplpgpppgx. Give prob of sequence gglp.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*x + 20*x - 58*x + 413 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049127 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 + 850 = 77*q. Solve 24 = 5*z + 3*p + q, 0 = -4*z - 5*p + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s. Let g be l(3). Let x be (9\/(-1))\/g - -957. Round x to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b + 17. What is the remainder when v(-8) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 4*k - 42 = 2, -2*y + 3*k - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.439943 to two dps.\nAnswer: 295.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/7 + 59*u**4\/7 + 153*u**3 - 3611*u**2\/7 + 2482*u\/7 = 0 for u.\nAnswer: -17, 0, 1, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7094 = -15*w + 26476. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 595405\/137 - 4346. Is -0.03 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*w**2 - w + w + 3*w - 5 - 43*w**2 to t + s*w + i*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126804618?\nAnswer: 2, 3, 181, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 10*m**2 + 22*m - 21. Let l be f(-12). What is z in -4\/3*z + 2\/3*z**l - 1\/3*z**4 + z**2 - 4\/3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 divided by 4408?\nAnswer: 69\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 0*f + 5*f)*(-3*f + 4*f + f) - 3*f**2 - 1 + 1 + (-3 + 3 - f)*(-4 - 3*f + 4) - 3*f**2 - 2*f**2 + 6*f**2 as u*f**2 + m + d*f and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -2.64?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/88 and -25\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*9)\/((-6)\/(-80)). Let d be 2\/6 - m\/(-27). Is 8 a factor of 4\/1 + d + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 37 - 14*k + 0 + 6*k - k**2. Let c be u(-11). Suppose -f = -c*j + 15, 3*f + 0 + 5 = 2*j. Solve -o = -j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k + 811*k + 928*k - 89505 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134295 + -5097356. Let b = v - -9613061. Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848904 and 178056.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(4\/(-72)). Suppose 2*r + i*l - 50 = l, -r = l - 19. Suppose -4*d + 5 = -r. Solve d = 4*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 897289 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 6 = -9*v. Let i(b) = -b**2 + 17*b - 32. Let o be i(14). Suppose v = h - o. Calculate the least common multiple of h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - 56. Let u be 15\/6*5\/(t\/(-24)). Suppose 3*y - 89 = n, -u*y = -0*y + n - 114. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/27 - (-22160)\/104706. Let o = -2\/3 + 4\/15. Sort g, -2\/11, o.\nAnswer: o, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143953.\nAnswer: 143953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s*s*s**(1\/23))\/s)*s*s\/(s\/(s**(-11)*s)*s))**50 assuming s is positive.\nAnswer: s**(-11550\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*w - 3*a - 19, -w - 5*a - 11 = 0. Let h(p) be the third derivative of 0 + 0*p - 3*p**2 - 1\/120*p**5 + 0*p**w + 1\/12*p**3. Factor h(z).\nAnswer: -(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2, -m - 18 = -2*u - 3*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 8790306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100121200?\nAnswer: 100121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3)*1)**2 + -1*(-2 + sqrt(3)) + 5.\nAnswer: -sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let m be l(3). Let i(y) be the third derivative of y**4\/24 - 2*y**3 + 3*y**2 - 49. Give i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108.281372+1.2184\nAnswer: 109.499772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:28 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + 7*b**3 - 3*b**3 + (-b + 2*b + 0*b)*(3*b**2 - 5*b**2 + 5*b**2) to d + x*b**2 + l*b + s*b**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -59*r. Let x(p) = -11*p**2 - 4. Let g(s) = 570*s**2 + 209. Let a(q) = -4*g(q) - 209*x(q). Give a(o(h)).\nAnswer: 66139*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 - 306.9999589. Round a to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 23, 3.3, -0.5, 177, -0.07, 5, 0.5?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -627816 - 207?\nAnswer: -628023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.12 + 3.12. Let i = -0.4 + 0. Which is the nearest to n? (a) 0.4 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17654 by -2.\nAnswer: 8827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143363135723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 18*q + 65. Let r be o(21). Suppose 2*z + 2025 = -r*g + 8755, 0 = z + 4*g - 3365. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m + 1. Let x(d) be the second derivative of -d**3\/6 - 7*d**2\/2 + d. Let j be x(-8). What are the prime factors of y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*s**2 + 2531*s**2 + 6023*s**2 - 1949*s**2 + 9640*s**2 as q*s + f + k*s**2 and give k.\nAnswer: 16491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1804 + -1798. Put 1\/6, -2\/25, a in increasing order.\nAnswer: -2\/25, 1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -6.3. Let v be (55\/(-506))\/(15\/(-12)). What is the second smallest value in v, d, 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204 in 0.4, 0.04, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/13 and 11\/1235728?\nAnswer: 1235728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000389587 rounded to 7 decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1406, -1385, -1378, -1391, -1430, -1501, -1610?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = 16. Let d be -2 - 4*2\/(-2). Put d, m, 0 in increasing order.\nAnswer: m, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**5 - 9552*g**4 - 6811928*g**3 - 1253103696*g**2 - 1246301316*g = 0.\nAnswer: -1053, -281, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/637840 and -87\/64.\nAnswer: 2551360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {k: 2, h: 1, g: 1, p: 1, f: 2, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) -11 (b) -5 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/4, 4, 1.5 in ascending order.\nAnswer: 0.2, 1\/4, 1.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15 + 0*v**3 + 12*v**2 + 6*v + v**3 + 3*v - 5. Let t be x(-11). Solve -6*b - 12 = -t*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24537*s**3 - 49262*s**2 wrt s.\nAnswer: 147222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 13267?\nAnswer: -13269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 5*y**2 - 2*y + 1. Suppose 0 = -f - f. Suppose f = 31*r - 33*r. Let h be (-5)\/(-2)*(r + -2). What is s(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365420 rounded to the nearest one thousand?\nAnswer: 1365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9745*l - 18 = 2*m + 9749*l, 0 = 3*m + 5*l + 29 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988 is divided by 71.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97 - -59?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 2*p - 2. Let m be d(-2). Let l be ((-2)\/(-3))\/(m\/(-9)). Solve 1 = -v - l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(63\/6))\/((-63)\/147)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-20))\/1)\/((-7)\/(-700)*5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1250494.\nAnswer: -1\/1250494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x)*(0 + 0 - 3*x) + x**2 - 2*x**2 - x**2 + (0*x + 0*x - 2*x)*(-3*x - x + 6*x) + x**2 + 0*x**2 - 2*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075937069 rounded to four dps?\nAnswer: 0.0759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282297184 to the nearest integer?\nAnswer: 16802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12 = 0, -4*w - 27 = 3*n + 7. Let a be (2\/n)\/((-1)\/9). Differentiate 43*j**a + 27 - 3 - 16*j**3 with respect to j.\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.77 + 0.23. Let g = 5 - 4.3. Let v = g + -0.5. Which is the smallest value? (a) 3 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 0. Which is the closest to o? (a) 3 (b) 1\/2 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 759806.8mg?\nAnswer: 0.0007598068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/12 - g**3 - 59*g**2 - 3*g. Let w(a) = 5*a**2 + 5. Give 5*u(m) + 6*w(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15917.1 rounded to the nearest 100?\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*q + 13 = 0, 4261*o - 4262*o = 3*q - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + (sqrt(275) + 1)*-3))**2.\nAnswer: 90*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Suppose 0 = 2*v + 3*v - 5. Put q, v, -1 in increasing order.\nAnswer: -1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2*r + 2*r - 200 + 109 + 75 + 58*r - 1 + 2*r + 1 + (-2 + 1 + 3)*(-2*r - 2*r + 3*r) - 2*r - r + 0*r.\nAnswer: 56*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0115 and -55130149057.\nAnswer: -55130149056.9885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-7 + 7) - 5) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9646210.\nAnswer: 2, 5, 7, 137803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7290 - 8?\nAnswer: a7288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -19251 at least as big as -19254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 48 = 3*f, -8*v + 38*v - 33*v - 3 = -2*f + 14 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 787830 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 12*c + 11*c + 31*c to x*c + w and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*f**2 + 1463094*f - 2925888 = 0. Calculate f.\nAnswer: 2, 487648\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**9\/126 - 23*d**7\/210 - 143*d**5\/30 - 295*d**2. Find the third derivative of m(w) wrt w.\nAnswer: -480*w**3 - 552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665.066 + -665. Let u = z + 1.834. Let t be 4\/18 - (-39)\/(-54). Which is bigger: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75722*t**2 - 37861*t**2 - 663*t - 806*t - 37859*t**2 in the form r*t + k*t**2 + l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/120 + 17*g**5\/60 + g**4\/2 - 17*g**3\/6 + 2*g**2. What is the remainder when n(-16) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2 - 222*j + 23. What is the thousands digit of n(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -748330636 by 187082659.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(52) + 1)*-5 + -5.\nAnswer: -10*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34934364277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 189, 247, 271, 255, 193, 79, -93?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100011 (base 2) to base 7.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40873.65km to centimeters.\nAnswer: 4087365000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = -b. Let j be (b\/8)\/((-2)\/(-8)). Sort -1, j, -2 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 578, 0 in ascending order.\nAnswer: 0, 6, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1372317806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + l)*(0 - 2 + 4) + 0*l - 2*l + l + (6 + 0 - 2)*(2 - 2 - 2*l) + 3*l + 3*l - 4*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j + 18. Suppose -189 = -5*y - 39. Let s = y - 22. Is k(s) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - p - 26 + 99 - 5*p + 3*p + 0*p + (-1 + 4 - 4)*(3*p - p - p) to the form h + a*p and give h.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 4*i**2 - 4*i - 7. Let g(h) = 11*h**3 + 7*h**2 + 7*h + 13. Calculate -4*g(k) - 7*s(k).\nAnswer: -2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 13*x**2 + 19*x + 37. Let p be a(11). Solve 6*f = p*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*(-36 - (-4832)\/128).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.3956ng in kilograms?\nAnswer: 0.0000000004233956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 52, 108, 202, 346, 552?\n\"Answer: 2*o**3 + o**2 + 13*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 13 - (-44 + 6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12 - 13\/(-3). Let g(t) = 0*t**2 - 4*t - t**3 - 2*t**2 - 2 - 4*t**2 + c*t**2. Does 14 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19299.777032 and 74.\nAnswer: -19225.777032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4 - 10230*l**3 - 1926*l**2 - 6*l?\nAnswer: 96*l - 61380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s**2 + 3*s - 6. Let k(g) = -4*g + 5*g + 0*g + g**2. Let f(d) = -a(d) + 6*k(d). Factor f(r).\nAnswer: -3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 46*c**3 - 52*c**3 + 97*c**3 - 428*c**2 + 2*c + 2*c**4 + 283*c**2 as w*c**2 + d + h*c**4 + m*c**3 + s*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -32*o**2 + 2022*o - 122. Let p be i(63). Is 12 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/4)*y*y*y)\/y**(-2\/31))**(-2\/47)\/((y\/(y**7\/y))\/y*y**(-1\/10)*(y*(y*((y**(-1\/4)\/y)\/y)\/y)\/y)**(-32)) assuming y is positive.\nAnswer: y**(-481264\/7285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081909009.\nAnswer: 3, 461, 2228423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5913178 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 54. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2853 > -2852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1527.9429784 and 3?\nAnswer: 1524.9429784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20059657 + 4.\nAnswer: 20059661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -95927*v - 959275. Give r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-73)\/146).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/45)\/(54 - 123112\/2280).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 296, 488, 680?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(133))\/sqrt(7))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*d = -3*n + 2413, 2416 = 2*n + 2*d. What is the greatest common factor of 372 and n?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947906357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 775 and 776 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*n + 16 - 150*n - 19 in the form l + q*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 234375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 529914.9 seconds in nanoseconds?\nAnswer: 529914900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (7 + -1) - (-10 - (-7 - -4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 + 235960*f - 2783856080 = 0. What is f?\nAnswer: 23596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 4 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112152 divided by -28038\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/8 + 20193*c**2\/8 - 161157*c\/8 - 1310985\/8 = 0. Calculate c.\nAnswer: -5, 13, 6723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20817426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 9 - 17. Find the third derivative of 3*o**3 + 7*o**3 - v*o**2 - o**2 + 5*o**3 wrt o.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14873670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + -26. What is the remainder when 38 is divided by (i\/6)\/((-4)\/12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.04 - 36. Let b = a - 0. What is b rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401942557*w**3 + w**2 - w**2 + 401942613*w**3.\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.95 + -491.95. Let g = -477.39 - c. Let v = g + -0.11. What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 0.217721785?\nAnswer: -0.282278215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11203228.64 rounded to the nearest one hundred thousand?\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1463\/21)\/11 - (-17)\/(-51). Solve -3*g = -l + z, 4*g + 2*l - 3 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g = -12*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40266, -41454, -43432, -46200, -49758?\nAnswer: -54106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826685 less than 7826685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 + -4 - (-5 + sqrt(33)\/sqrt(3))) + (-2 + -1*sqrt(704) - sqrt(704)))**2 + 1 + sqrt(11)*-1 + sqrt(11) + 0 + (4 + sqrt(176)*-2)**2.\nAnswer: -64*sqrt(11) + 3537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 40*m - 38. Let k(o) = 2. Let p(n) = 5*k(n) + t(n). What is the derivative of p(c) wrt c?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*o = 0. Let w(i) be the first derivative of 3*i + o*i - 7*i**2 + 3*i**2 + i - 11. Let p(n) = 15*n - 7. What is 6*p(x) + 11*w(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*u*x - 30*d**2*u - 73*d*u*x - 20*u*x - 2 wrt d?\nAnswer: 10*u*x - 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4800 and 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, u: 9}. Give prob of sequence vu.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w - 2. Let j be f(-1). Suppose -u - 11*u + 60 = j. Suppose -o = -k + 98, 3*k - 374 = -k - u*o. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 39981510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 8*o - o + 7*o)*(4*o - o + o)*(-2 + 2 - 2).\nAnswer: 24*o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/39 + 1\/3. Put j, 10, 4\/9 in increasing order.\nAnswer: j, 4\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-20))\/((-22)\/(-55))*126\/(-3)*-1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -13 - 2. List the prime factors of (-32)\/144 - t\/((-54)\/12136).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2395433 + -0.2398. Round b to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152178529*n**4 - 153889611*n**2 wrt n.\nAnswer: -3652284696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 98735.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1241411310 (base 5) to base 8\nAnswer: -13567366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -726937\/21 >= -34615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3\/2, -6\/5, -1\/6 in decreasing order.\nAnswer: 8, -1\/6, -6\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g = -491076 + 66322. List the prime factors of g.\nAnswer: 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -4*y + 172, 38*y - 15*y - 4*w = 21*y - 94 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*n + 2. Let k be 1 + -1 + -1 - n. Suppose -7*h + 3*h + 64 = 0. Solve -4*o + h = -k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8048315237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.431076 + -2.3495. Let g = p - -0.02855. Let d = -0.11 + g. What is d rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 3436*c**2 + 1617*c**2.\nAnswer: 5053*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -491, -526, -561?\n\"Answer: -35*i - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452846971 to the power of 1\/2, to the nearest integer?\nAnswer: 80330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from abaabbcbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.2 (c) -37.53 (d) -4 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3748, -3745, -3732, -3703, -3652?\nAnswer: -3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 3:31 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6590, -5, 3, -16848.\nAnswer: -16848, -5, 3, 6590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240636 is divided by 320?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 29*t - 14. Calculate z(8).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)*t**16)\/(t\/(t*t**(-3)))**31 assuming t is positive.\nAnswer: t**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 26*x - 20. What is f in f**3 + 8*f**4 + 4*f**5 - 5*f**3 - 4*f**x - 4*f**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 11*v + 0*v)*(2 - 2 + 2*v**2 - 3*v).\nAnswer: -26*v**3 + 39*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 3. Let w be (-3 + -3 + 6)\/3. Let o be f(w). Solve k - o - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71891.0664 to the nearest one hundred.\nAnswer: -71900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let u(j) = -67*j**3 + j. Calculate -2*t(x) + 2*u(x).\nAnswer: -134*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.1 - -27. Let p be (-1)\/2 + (-7)\/2. What is the second biggest value in -0.4, v, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -22 + 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 82*z - 106*z - 305*z)*(0 + z + 0).\nAnswer: -329*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2025 is divided by 218.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 759\/(-990) - 66\/(-110).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/18)\/((-2)\/(-20)). Suppose s*v - 11 = 99. Calculate the lowest common multiple of (-1)\/4 - (-178)\/8 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2, 90, -5, 1\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3\/3*2. Let x(b) be the third derivative of -b**5\/60 - b**4\/6 - b**3\/6 - b**2. Let c be x(-2). Is s bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2455279.\nAnswer: 2455279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 11*r**2 - 2*r - 1. Suppose -14*s + 9*s + p = 29, -4*p = -2*s - 26. Determine y(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14\/11 + -170\/99. Let r = -0.4 - 1.6. What is the third biggest value in r, v, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 3) to base 14.\nAnswer: -cdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19116.2um in nanometers?\nAnswer: 19116200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a day in minutes?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/3, 15, -3, 96 in ascending order.\nAnswer: -3, 0.1, 4\/3, 15, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*y + 15 + 95, 44 = 2*y - 3*l. Let a(n) = 17*n**3 - 2*n + 2. Let m be a(1). Let v = y - m. Put 2, 1, v in decreasing order.\nAnswer: v, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, a: 2, d: 1, c: 4, v: 2}. What is prob of picking 1 d, 1 v, and 1 a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m. Let o be a(1). Let b(s) = -s + 1. Let f be b(o). Suppose 0 = -f*q + 4*q - g + 24, 10 = q - 5*g. Solve -5*j + 4 = 3*n - 6, 5*n = -q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1758 - -1839.9. Let d = 80 - g. Put 4, 1\/3, d in descending order.\nAnswer: 4, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/955 (b) 93 (c) -4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from hawnrai?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56692 + -29239. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1429350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23848.\nAnswer: 2, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63\/4 - 16. What is the nearest to -1 in 2, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 7*b**2 + 19*b - 8. Let f be h(9). Let x = 0 + 5. What are the prime factors of (f - x) + (201 - 0)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 314509733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:44 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 432, 595, 758?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 20. Let d be (-2)\/w*3*1. Let b = 0.02 - -0.38. Sort 2\/15, d, b in ascending order.\nAnswer: 2\/15, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*x**2 + 8*i - 4*x**3 + 5*x**2 - 44 with respect to x.\nAnswer: -4*i*x - 12*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010.405 millilitres in litres?\nAnswer: 7.010405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -3*y - 51. Let r = y - -488\/9. Suppose 5*o - 2 = 4*o. Put r, -0.2, o in decreasing order.\nAnswer: o, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + k + 4361*k**3 - 4362*k**3 + 3*k**4 - 94 as n*k**2 + v*k**3 + c*k**4 + r + h*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/3)\/q*q)\/q)\/q)**(-45) assuming q is positive.\nAnswer: q**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 - 434214*f - 47135449449 = 0.\nAnswer: -217107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -22 + 85 + -80.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3) + -1 - 2. Let s be 0\/(-2 + -1) - -10. Let l be s\/6*(-5)\/(-25). Sort z, -0.2, l in ascending order.\nAnswer: z, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*y - 9934 - 55103 = -8292. What is the highest common divisor of 420 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -117117, -117119, -117121, -117123, -117125?\n\"Answer: -2*k - 117115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.406 millennia in decades?\nAnswer: 36740.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f. Let v(k) = 20*k. Let m(p) = 16*j(p) - 3*v(p). Suppose 2*r + 4*z - 14 = 0, 5*r + 5*z - 10 = 15. Let b(x) = 2*x + r*x - 3*x. What is b(m(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxgxggggg. Give prob of sequence xggg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 302.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 19968*y + 7752592.\nAnswer: -4*(y - 362)*(y + 5354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35739 (base 10) to base 4\nAnswer: 20232123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3026153811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130323211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkkgmkklkklllkll. Give prob of sequence lkll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 0.2, 2\/11, 223, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 7. Suppose 0 = 3*j - q, j + 1 = -x + 8. Suppose 2*w + 104988 = -3*w - x*m, m + 62997 = -3*w. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*f**5 + 8*f**3 + 4*f**2 + 6*f - 787 wrt f?\nAnswer: 3820*f**3 + 48*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:27 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = 3*n, 3*n - 4*k + 4 + 2 = 0. Let h(w) = 2*w - 1 + 93*w**3 - 92*w**3 - 5*w**2 + n*w. What is h(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.2 + 22. Which is the smallest value? (a) 10 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 2*m**2 - 1. Let a(u) = 5*u**3 - 11*u**2 - 6. Let p = -7 + 11. Let o(r) = p*a(r) - 22*h(r). Differentiate o(w) with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 divided by 4?\nAnswer: 727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j. Let v(u) = -9*u - 5. Let x(t) be the first derivative of 5*t**2\/2 + 3*t - 13. Let y(m) = -4*v(m) - 7*x(m). Let g(n) = b(n) + 2*y(n). Give g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -80*w + 346*w + 20354*w**5 - 266*w + w**5 + w**4 - w**4 - 2*w**5 + 2*w**4 - 2*w**4 + (w**2 + w**2 - 4*w**2)*(w**3 + 0*w + 0*w) + w**3 - w**3 - w**5.\nAnswer: 20350*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8\/k**30*k*(k**(14\/9)\/k)\/k*k**(16\/9)*k assuming k is positive.\nAnswer: k**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96054336 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 69*d**2 + 14*d**2 - 361*d**2 + 6*d**3.\nAnswer: 4*d**3 - 278*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 0*a**2 - a**3 + (3*a - 3*a - 2*a)*(-a**2 + 0 + 0) - 5*a**3 + 2*a - 2*a + (2 - 2 - a)*(-2*a**2 + 3*a**2 + a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1050745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1002003334 (base 5) to base 15\nAnswer: -29317e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**4 - l**2 + 2*l**4 + 6*l**4 - 5*l**4 + 2*l + l**3 as i*l**2 + d + o*l**4 + c*l + v*l**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k - 4. Let w(a) = 3*a - 10. Let h be w(7). Let x(i) = 20*i + 5. Let o(q) = 39*q + 11. Let r(s) = 6*o(s) - 11*x(s). Give h*z(n) + 4*r(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*o**2 + 6*f**2*o - f**2 - 147282*f*o - 7025*o**4 wrt o.\nAnswer: 40*f**2 - 84300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -177180312151266 and 4.\nAnswer: -177180312151262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2646.\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-8)\/(-144)*21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + -1)\/5 - -255. Let r be (80\/30)\/((-2)\/t). Let g = 578 + r. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(19) - (sqrt(76)*1)\/sqrt(4))*1 - -2*(sqrt(931) - (sqrt(931) + 0))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*n**2 - 450*n**2 - 341*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92520143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, q: 6}. What is prob of sequence uuqu?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 123 = -2*l - 2*p, -2*p + 62 = -l. Let c = 63 + l. Which is smaller: c or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319511491.\nAnswer: 13, 59, 416573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (484\/(-1331))\/(2\/(-22)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 13 = -5*o, -2*o - t + 6 + 0 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3086*c**2. Let v(t) = -2*t. Calculate b(v(u)).\nAnswer: 12344*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2233 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 1, q: 1, r: 1, x: 3, u: 5}. What is prob of sequence uxrc?\nAnswer: 15\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/72)\/((-36)\/(-240)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let g(m) = 18*m + 2. Let u(c) = g(c) - 2*z(c). Let r be u(2). Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18224 - 43262. Let s = u - -41201. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44818047*l**3 - 107775623 wrt l?\nAnswer: 134454141*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g + 19 + 10*g + 13*g)*(-8*g**2 - 18*g + 32*g - 13*g).\nAnswer: -88*g**3 - 141*g**2 + 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -294. Solve u*m**4 + 5*m**3 - 85*m**4 - 89*m**4 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669463 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 = 27*u + 114 + 128 + 22 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4315 - 871. Calculate the smallest common multiple of g and 189.\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*y - 11 = 7, 2*l + y + 12 = 0. Let h be (18\/(-81))\/(17\/9). Sort 0.1, l, -0.2, h in descending order.\nAnswer: 0.1, h, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925301 is divided by 2416?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525638 divided by 5714?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2*j + 3*a, 2*j = 4*a. Solve -u = -j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) - (-19957)\/63 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*t - 5742000 = -498*t. Does 120 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63449443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -3 (c) -0.4 (d) -105 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 - 12*s**5 + 390*s**2 wrt s?\nAnswer: 120*s**3 - 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47864 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 h when three letters picked without replacement from {h: 2, l: 5, t: 2, g: 1, x: 2, c: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3433498.\nAnswer: 2, 31, 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110111111100110 - -100?\nAnswer: -10110110111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15 - 39*r**3 - 7 + 3*r**3 + 42*r**3 + 32 - 5*r.\nAnswer: 6*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 5*b - 4. Let d be p(8). Calculate the highest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -12. Let f be 4 - 0*(-1)\/o. Suppose 2*w + 3*x = -0*w + 4, f*w + 2*x = 16. Solve y - w*b = -3*y + 4, 3 = 3*y - 3*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 146*c**3 + 4*c**2 + 68*c - 305. List the prime factors of s(6).\nAnswer: 37, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j + 71*j = 120*j - 630 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 6 = 12*w - 3*l, -3*w + l = 16 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - -53. Let z = 818 - 805. What is the greatest common factor of z and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 12*q = 8. Let c(l) = 6 - 10639*l + 10636*l - 2*l**2 + l**3 - l**2. Calculate c(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uddhddduudduuddddddd?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 234\/(-12) + 1\/(-2). Sort 1, 2, -4, y.\nAnswer: y, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 divided by -5?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**3 + 3*h**2*j + 106*h*j*n + h*n + j*n + 7237*j wrt h.\nAnswer: 15*h**2 + 6*h*j + 106*j*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.31 and -742308695?\nAnswer: 742308694.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 723, -2, 4.\nAnswer: -3, -2, 2, 4, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13781 divided by -15689.\nAnswer: 13781\/15689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-15 + 4)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + -2.2. Which is the nearest to -1? (a) 4 (b) -12 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 820.\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 132827770 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/798 and -169\/7893396.\nAnswer: 149974524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 798 + -793. Suppose o*a + 2 = 7, 3*r = 2*a + 2026. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**7\/840 - m**5\/60 + m**3\/2 + 2*m**2. Let v(y) be the first derivative of q(y). Find the second derivative of v(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7327 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376 + 43?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 6*r + 2. List the prime factors of x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/6)\/((40\/(-15))\/4). Let l(m) = -2*m**2 + 16*m + 38. Is l(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byb when three letters picked without replacement from {y: 1, z: 1, m: 3, b: 5, q: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 5084*c**2 = 0. What is c?\nAnswer: 0, 2542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 1\/5*l**2 - 1\/10*l**4 - 70 + 0*l + 0*l**3. Factor s(w).\nAnswer: -2*w*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/7 - (-2 - (2 + 0)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let h(d) = -2 - 2*d + 0 - p - 3. Give h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486992390?\nAnswer: 2, 5, 48699239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363035797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0974 + -0.0709.\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4 = -16*w - 3*d, 2*d = 2*w + d + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or 276661?\nAnswer: 276661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60\/7, -1\/130, -7\/2?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2234*a + 90 + a**3 + 2234*a + a**2 as z + c*a**3 + l*a + i*a**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142795284 to the power of 1\/2, to the nearest integer?\nAnswer: 11950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44079359 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4179.5 + 4179. What is the closest to -3\/11 in -19, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*g*l**4 + 3*g*l**2 + 2*g*l + 31*g + 6064*l**4 - 60*l + 58 wrt l?\nAnswer: -384*g*l**2 + 6*g + 72768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1\/l*l*l)\/(l\/((l*l**5*l)\/l*l)))\/((l**(-3\/4)\/l)\/l**(-6)))\/(((l**(-2\/7)*l)\/l)**(-4)\/(l**1)**(3\/29)) assuming l is positive.\nAnswer: l**(2201\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 15*z - 6. Let v be m(-7). What is the remainder when 22 is divided by v\/2*4 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -199517*g**2 + 3049*g**4 + 199517*g**2 + (0 - 1 + 2)*(0*g**3 - g**4 + 0*g**3) as q*g**4 + p + k*g**2 + d*g**3 + r*g and give q.\nAnswer: 3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 40*y - 7. Let o be h(10). Let g(r) = -3*r - 1. Let d(w) = -w - 4. Let u(t) = 2*t + 7. Let j(f) = -7*d(f) - 4*u(f). What is o*j(p) + 2*g(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -79721 divided by 5\nAnswer: -79721\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 329, -33 in descending order.\nAnswer: 329, 4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*v + 68*v + 116. What is the remainder when v is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 7. Let j = -10 + v. Let t = -7 + 6. Is j greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 15*j**2 - 7*j - 12. Is 9 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6)*12\/90*-1. Let c(l) be the second derivative of 0 + i*l**5 - 11\/6*l**3 + 0*l**4 + 0*l**2 + l. What is the second derivative of c(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 36. Let a(p) = -2*p + 8. Let m(r) = -4*a(r) - o(r). Let z(g) = 3*g - 1. Determine z(m(j)).\nAnswer: 15*j + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -314*w**2 + 159*w**2 + 157*w**2 - 2*w**3 - 6. Let p(k) = k - 1. Let u be p(4). Let l(o) = -5*o**3 + 6*o**2 - 17. Determine u*l(t) - 8*x(t).\nAnswer: t**3 + 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*q - 25*q + 210 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 425*o**3 - o**2 + 5*o + 6. Let t be r(-4). Let c = t - -10130. Round c to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108599 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.457899 tonnes to grams.\nAnswer: 9457899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/19 in -2, -601, 5, -4\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 7206039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 58. Calculate the greatest common divisor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157256 is divided by 38972.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**7\/5460 - s**6\/780 - s**5\/390 + 31*s**3\/3 + 66*s**2. Let a(n) be the first derivative of p(n). Let a(b) = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 9}. Give prob of picking 2 k.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v - 135. Let y = 87 + v. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let t be (4 + -7)*2*q\/4. Let w = 3 - 2. Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u. Let m(d) = -15*d + 19. Give m(t(y)).\nAnswer: 60*y + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8) + 1)*8. What is k in 4*k**2 + 2*k**2 - g*k**2 - 731 + 733 - 4*k = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/144738 and 35\/81.\nAnswer: 1302642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.27 (b) 1.3 (c) -2 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*x + 19, 4*y - 3*x = -0*x - 7. Solve -4*j = y*h + 10, -4*j = -5*h - 0*h - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119600 and 161.\nAnswer: 837200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 3 - 1)*(14*x + 6*x - 7*x).\nAnswer: 390*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39aa81 + 116?\nAnswer: 3a0097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057)*-5 + -1 + -3 + sqrt(2057)*5 + 3 + sqrt(2057))*5)**2 + 2.\nAnswer: -1650*sqrt(17) + 51652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 16*o**2 - 32*o + 20. Suppose -4*k + 3*k + 4*b = 29, -3*k - 57 = -2*b. Is w(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/6*(18\/(-30))\/(14\/(-210))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 10*j - 13. Calculate i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1875 = -50*t + 55*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222112001 (base 4) to base 12.\nAnswer: -84455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1882*l - 15893 - 48095 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y. Let n be x(3). Let w(g) = -g**3 + 6*g**2 + g - 6. Let f be w(n). Solve 3*q = -f - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5813 (base 12) in base 14?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 422959 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = 8*y + 2*j, 4*y + 41*j = 361 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 118, 212, 332?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27576, -34143, -40710, -47277?\n\"Answer: -6567*i - 21009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 527 and 6.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/(-7) + -5 + 1. What is the least common multiple of 64 and 2 + 75 - (w + 15)?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507879 is divided by 1218.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 46. Suppose 0 = -5*p - n + 90, -n - 2*n = 4*p - 61. Let v be s(p). Let a(t) = -t**3 + 7*t**2 + 8*t - 2. Calculate a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*k**3 + 149*k**3 + 8*k**2 + 138*k**3 - 6*k**2.\nAnswer: 537*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.89 + -13.01. Let j = 14 + b. Let h = -5 - -7. What is the nearest to h in j, -5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 16\/21491?\nAnswer: 16\/21491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -576000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1131?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1315*c**3 - c**2 - 4742*c wrt c?\nAnswer: 7890*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 30 = -2*b. Suppose -d - x = -5, 11 + 2 = b*d + 2*x. Let o be (-9 - -4)\/(-2 + d). Put o, -1, 1 in increasing order.\nAnswer: -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssaaafottt. Give prob of picking 1 f and 1 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (21 + -54 - -11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*x**3 + 15*x**4 - 4*x**2 - 59*x**3 - 2*x - 46*x**3 - 47*x**3 to z*x**4 + g*x**2 + f*x**3 + h*x + i and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 34*p + 41. Let d be m(-18). Suppose d*i - 205 = 740. Calculate the highest common divisor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g - 24. Let v = -83 - -87. Let p(m) = -9*m - 25. Let i(c) = v*p(c) - 3*f(c). Differentiate i(l) wrt l.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6802272 divided by -23619.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-7\/8)\/y))**(-29)\/(y**44\/(y*y\/y**45)) assuming y is positive.\nAnswer: y**(-1363\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/40 and -149\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 51 = 101. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 46*d**2 - 23*d - 1430. What is k(6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*h - 58 = 0, 6*h = 4*y + 5*h - 246. Let j = y + -62. Which is the closest to 0? (a) j (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51180 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (136\/(-102))\/(624\/(-324)*6 + 11)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**3\/3 - q**2\/2 + q + 3. Let f(i) = 4*i + 0*i**2 - 3 + 5*i**2 + 0. Determine -f(t) - 4*u(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228)*2 - (sqrt(228)*-2*3 + sqrt(228)))*-3)\/(sqrt(300)*-1 + -6*-4*sqrt(12)).\nAnswer: -9*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 + -219. What is the units digit of (-3145)\/c + 104\/28 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*l - 6, -l + 4 = 6*p - 3*p. Suppose 0 = -0*w - p*w + 20. Suppose -w*u = -3*u - 336. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9539 = c - 4*c + 280. What are the prime factors of c?\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -306078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -x - 0*x - 2, -3*x + 4*g + 42 = 0. Suppose -4*s + x = 3*m - 90, -s = m - 24. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 38 + 132 - 5*f**2 + 1043*f - 878*f = 0. What is f?\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+12130747\nAnswer: 12130746.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Suppose d = -3*w + 108 + 36. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-7.513.\nAnswer: 165.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -0.272834?\nAnswer: 11.186194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*g + 16 - 6 - 9)*(2*g**2 - 2*g**2 + g**2).\nAnswer: -60*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -580155482?\nAnswer: -580155485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - j = -0*j - 1392004, 0 = -a - 3*j + 348012. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-3))))**(-9)\/(s**(-3\/2))**(-2\/17) assuming s is positive.\nAnswer: s**(-615\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-144)\/(-60)*40\/6 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 7. Let z be i(-5). Suppose -2*p + z = -15. Let o = p - 6. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*s + 3*o, 113*s - o = 119*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, w: 1, l: 4, e: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose g - 263 = -263. Suppose -2*h - v*p - 16 = 2*p, g = h + 4*p + 14. Put h, 3, 5 in descending order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 3)*3\/(-2). Let b be 3*(8\/z)\/8. Solve -b = v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 17*r**2 + r. Let u be v(-9). Let o = -78 + u. Let p(d) = 5*d**2 + 10*d. What is the remainder when p(o) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 + 51 - 88 - 29)*(-o + 3*o + 0*o).\nAnswer: -322*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/6 - (6 + 1). Let t = k - -7. Let p = -39.8 + 40. Sort p, t, 13.\nAnswer: t, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1 + (1 - 4 + 2)*(4 - 5 - 2) + (2 - 2 + 1)*(0 - 4 + 2))*(4*q**3 + 0*q**3 - 3*q**3).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8678 - 8689. Let z(r) = -3*r**3 + 17*r - 9. Let f(a) = -2*a**3 + 9*a - 5. Determine l*f(t) + 6*z(t).\nAnswer: 4*t**3 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5619 + 50569\/9. Which is the fifth biggest value? (a) s (b) 0.3 (c) 39 (d) 2 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m + 532 = -36*m + 48*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/4))\/(s**1\/s))**(7\/9) assuming s is positive.\nAnswer: s**(35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 386.\nAnswer: -43\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - n - 4. Let j be w(-2). Let l(i) = 0 + j - 7 - 9*i + 0*i. Is l(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 934, 930, 924, 916?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001222023 to 6 dps.\nAnswer: -0.001222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -541 + 544. Suppose 11*n - 7*n = 4*c + 44, -n - h*c - 5 = 0. What is the remainder when 37 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10*r + 26. Let k be d(-11). Let z = -86 - k. Which is the second biggest value? (a) z (b) 0 (c) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w + 477. Suppose 0 = 3*j - 2*j + 2*k - w, 5*j - 750 = -k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694 + 674 = q, 40 = 20*s - q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + 1 + 0 + 6 + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 11*w + 0 - 2 + 2 with respect to w.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.6775 or -4\/3?\nAnswer: 3.6775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:22 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12884553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 2630482*a + 1052192.\nAnswer: (a - 526096)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p + 62. Let t be v(-6). Let d = 0 - 0. What is the third biggest value in t, d, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*k + 59 - 14. Let b be -2 + 35\/11 + -1. Is b at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + (-1 - -11) + (15 - 19)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43919, 43916, 43913, 43910, 43907?\n\"Answer: -3*h + 43922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 - 6*c + 5. Let x be z(5). Suppose -i + 25 = -4*v + 4*i, i - 5 = x. Suppose 4*s - 8 = -v. Solve -s*t + 0*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**3 + 4*t**2 + 4*t - 7. Let x(q) = 23*q**3 - 11*q**2 - 11*q + 20. Give -4*x(r) - 11*y(r).\nAnswer: -4*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112094 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1177 = -5*n - 2*y, 3*n = 2*y - 536 - 167. Let k = -1905\/8 - n. Find the common denominator of (1\/9)\/(-1) + 2 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 - 4*b - 58. Does 13 divide a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 156*s**6 + 14*s**5 + 10*s**4 + 2312*s**2. Let v(j) = -j**6 + 3*j**5 + 2*j**4. Let i(b) = -q(b) + 5*v(b). Find the third derivative of i(f) wrt f.\nAnswer: -19320*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 111*y**2 + 110*y + 50. What is b(112)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165, 187, 209, 231, 253, 275?\n\"Answer: 22*b + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110698 is divided by 8503.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7\/5))**28*(c**(1\/6)*c)**(6\/17) assuming c is positive.\nAnswer: c**(-917\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 168, 373, 660?\n\"Answer: 41*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4*7\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 8*y + 21. Is 4 a factor of m(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*p**4 + 2*p**2 + 60*p**4 + 4*p**2 - 61*p**4 + 1 wrt p?\nAnswer: 792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 4*x - 4*i + 23, 4*x + 4*i - 16 = 0. Suppose -2*u - 515 = -5*d, -4*u = 2*d - x - 175. Calculate the remainder when d is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 526\/35 - 307\/14. Find the common denominator of -85\/2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*p*s**4 + 20*p*s**3 + 5*p*s - 2*s**3 - s**2 + 125*s wrt s.\nAnswer: -648*p*s + 120*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 18614 + 45856. List the prime factors of r.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2 - 2*s**2 + 16*s**2. Let x(l) = -7*l**2. Give x(w(t)).\nAnswer: -175*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 579 - 578.9999711. What is l rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 429958 and 6330.\nAnswer: 1360817070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 8*z + 21. Suppose 60 = -4*l + 20. Let b be s(l). Calculate the highest common divisor of 4 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69657168 is divided by 579?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1672 + -833. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let d = -82 - -51. Let m = 36 + d. What is the smallest value in f, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 427*a + 4400. What is the remainder when i(-10) is divided by 32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.3 take away 4.2?\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/4453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*14\/(-189))\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -1\/4, -3\/5, -18, 0.02, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -x + 4*c + 173, 0 = -4*x - c + 23. Is x at most 67\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 0 + 2 + 0*i + 3*i**2 - 3*i - 5*i**2. Let u be f(3). What is the lowest common multiple of 2 and (u - (-10)\/(-4))*-36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48331 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1725*s**2 + 21*s + 783805 wrt s?\nAnswer: 3450*s + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = -16*d - 329 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -31*l**2 + 1. Let y = -28256 - -28260. Let a(i) be the second derivative of -9*i + 0 - 1\/6*i**y + 0*i**3 + 0*i**2. Calculate a(u(c)).\nAnswer: -1922*c**4 + 124*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1348199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.187 - -0.187. Which is smaller: 24\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (-15 - -20)) + -6 + -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-3))\/(17\/1887) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -20*j - 113. Give h(-74).\nAnswer: 1367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190\/9 or -1\/6?\nAnswer: -190\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:57 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 + 0 - -3)*152\/57. Calculate the highest common divisor of 84 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.5 (b) -2\/21 (c) -62165 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001371237886 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvkpggxcvvx. What is prob of sequence gc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 5}. What is prob of sequence jgg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**4*u + m**4 - 354*m**3*u + 6*m**3 - 8*m**2*u - 36*m**2 - 14*m + 6 wrt m.\nAnswer: -96*m*u + 24*m - 2124*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*h = -36, -5*v - 30 = h - 75. What is the highest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16326?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -115708, -231410, -347110, -462808, -578504?\n\"Answer: b**2 - 115705*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-982*d - 49 + 130 - 81)*(-1 - 2*d + 1).\nAnswer: 1964*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**1*f))\/f)**(-17)\/((f\/f**(-1\/2))\/f**5)*(f\/(f*f*f**1))**(-17)*((f*f**4\/f*f)\/f)\/((f*(f**(1\/6)\/f*f)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t + 2\/5*t**5 - 4\/3*t**4 + 30 + 2\/3*t**2 + 2\/3*t**3. Find q such that z(q) = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9837 and 963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009 at least as big as 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let k(x) = -54. Calculate 2*g(w) - k(w).\nAnswer: 2*w + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -29, -56, -93?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376098138.\nAnswer: 2, 3, 13, 31, 139, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 818.394 to the nearest ten.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 215 = -21*b, 3*b = 14*h - 10*h + 17 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1484 - -1482. Let a(f) = 5*f + 1. What is a(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-16)\/6*66\/(-11). Suppose 8*x = -h*x - 6504000. Round x to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}