diff --git "a/data/dm_maths/full_data/10997_11255.jsonl" "b/data/dm_maths/full_data/10997_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10997_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tens digit of 37620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95, 191, 287, 383?\n\"Answer: 96*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -388835, -778449, -1168063, -1557677, -1947291, -2336905?\n\"Answer: -389614*n + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 843?\nAnswer: -86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010 rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 20 = -6*a. Let x(s) = -s**2 - 3*s + 4. Determine x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/321704 and -77\/19060962?\nAnswer: 76243848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162843.394 rounded to the nearest one hundred?\nAnswer: 162800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -232, -591, -1104, -1777?\nAnswer: -2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s - 2. Let l be (-24)\/(-6) + (s - 0). Suppose -5*j + 22 = -3*k, l*j - 9 = j + k. Solve -4 = j*r + 2*m, 0*m = m - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.064176432.\nAnswer: 0.064176432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-12)\/6*(-5)\/(-25))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/39 - (-82)\/26. Suppose -b + 4 = -2*x, u*b - 2 = -x - 4. Put 8, x, 3 in increasing order.\nAnswer: x, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l. Let c(r) = r**2 + 3*r - 3. Let k(t) = 3*t - 2. Let y(z) = -2*c(z) + 3*k(z). Let g = 6 - 3. Determine g*y(f) + 8*x(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c**2 + 5*c**3 - 31*c**2 + 70*c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12 = 4*u - 9, -5*u = 3*a + 20. Let m(t) = 2*t**2 + t**2 + 0*t**2 - t + 2 - t**2. Let o(j) = j**3 + j**2 + 1. Calculate u*m(g) + 2*o(g).\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -976.692 - -973. Let f = a + 3.7. Round f to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-102)\/(-2))\/(18\/24). Suppose a - u = -63. Calculate the least common multiple of 67 and a.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 - 3*d**4 + 2*d**4)*(-38*d + 52*d + 66*d) + d - d - 2*d**5.\nAnswer: 238*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21*-1*(-4)\/(-6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v - 33*v - 21 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6831195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0748693211 to six dps.\nAnswer: 0.074869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10744964?\nAnswer: 2, 29, 211, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/(2\/(-10)). Let j(w) = w - 2. Let f(b) = -3. Let c(q) = r*f(q) - 6*j(q). Let k(x) = -2*x - 1. Let o = -20 - -12. What is o*k(y) + 3*c(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 + m + 1. Let x(t) = t**3 - 3*t**2 + 4*t. Let g be x(3). Suppose 4*a + 4*l - g = 0, 3*a - 4*a + 4*l + 3 = 0. Is u(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1174*c**4 + 283*c**3 + 485601*c**2.\nAnswer: -28176*c + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.33 * -6.19.\nAnswer: -8.2327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r - r**2 - 6 + 0*r**2 - 13. What are the prime factors of q(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m + 27. Let p be k(11). Suppose 5*o = 4*r + 4303, 5*o - p - 4138 = r. List the prime factors of o.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55096, 110185, 165288, 220411, 275560?\n\"Answer: c**3 + c**2 + 55079*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/7 - 124*p\/7 + 390\/7 = 0. Calculate p.\nAnswer: -65, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(-3) - 4\/(-12). Let c(g) be the second derivative of -1\/30*g**5 - 2*g + 0 + 0*g**2 + 1\/9*g**3 + 0*g**t. Suppose c(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (784\/84)\/28*12. Let t = -3 - -5. Suppose -3*z + 5*y - 14 = 0, t*z + 2*y - 6 = 3*z. Solve 3*q - 3 = -u*j - 9, 0 = 5*q + 4*j + z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147563214, -295126427, -442689640, -590252853, -737816066?\n\"Answer: -147563213*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240077267400 rounded to the nearest one million?\nAnswer: 240077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 692*h - 4811. What is the ten thousands digit of s(70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7382*p**3 - 4096*p.\nAnswer: 44292*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.0778 from -0.14.\nAnswer: -1.2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101010010111 (base 2) in base 10?\nAnswer: 31383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/4 - 8*d**3\/3 - 4*d**2 - 2*d + 7. Let c be p(-7). Find the second derivative of -347 - c*l**3 - 4*l + 347 wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*t**5\/3 + 1916*t**4\/3 + 7376*t**3 + 32012*t**2\/3 - 9416*t\/3 = 0. Calculate t.\nAnswer: -107, -11, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5444733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*z = -8, 0 = 2*d - z - 0*z - 9. Suppose 16 = -v + d*v. Factor 2*k**2 - 2*k**5 + 0*k**5 - 2*k**3 - v*k**3 + 6*k**4.\nAnswer: -2*k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 3\/2, -5, 1, 629\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2010, 8226, 18586, 33090, 51738, 74530?\nAnswer: 101466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*v - 168*v - 1045 = 113 + 1292 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = -3*p. Let d(x) be the first derivative of 1\/2*x**2 - 2 + x. Give d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672569.\nAnswer: 257, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1364 and 29\/608592?\nAnswer: 6694512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7471 + -127005\/17. Solve 2\/17*c**2 - y*c - 24\/17 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-1\/4)*t**8*t**(-1\/2) assuming t is positive.\nAnswer: t**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-5))\/((-17)\/17340*-68)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 53 = -1001. What is the remainder when k is divided by -2 - ((-8)\/(-4) - 24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4\/3)\/((-448)\/168). What is the nearest to -5 in 1, m, -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(60)\/sqrt(6)) + sqrt(17) + 4 + -2 + (-5 + 3*sqrt(1700))*-1 + -1)**2.\nAnswer: -336*sqrt(17) + 13364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.148, 7, -0.2 in descending order.\nAnswer: 7, 0.4, -0.148, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -12247?\nAnswer: -12245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z - 1. Let f(o) = -o. Determine -5*f(g) + j(g).\nAnswer: g**2 + 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/(w*w**(18\/5)) assuming w is positive.\nAnswer: w**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 + -126. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 121, -2, -1, 2?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Let j be 12\/27 + 10\/45. Which is the second biggest value? (a) 3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6130.06079 + 6130. Let v = 0.06 + o. What is v rounded to 5 decimal places?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by -473\nAnswer: 336\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-5 - 10 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21912 is divided by 21841.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.593 + 32.407. Which is the nearest to -1? (a) 3\/5 (b) 4\/5 (c) -0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, z: 4}. What is prob of sequence zz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + 2*i + 1. Let h be u(-3). Suppose -2*l - 6*g + 32 = -2*g, 0 = -3*g. What is the highest common divisor of h and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -8. Let f(l) be the second derivative of -l**5\/20 - l**4\/3 + 2*l**3\/3 + l**2\/2 + 2*l. What are the prime factors of f(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276099*d + 70 = -276106*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(22)\/sqrt(2)))\/(2*sqrt(9)*-5).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) -7 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 5168*h + 5164*h - 93 - 118 + 25.\nAnswer: -4*h - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 25 = -115 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i\/((i*(i\/i**(-2\/25))\/i)\/i)*i))*i)\/i)\/i*i**(2\/35)\/i*i**(2\/39)*(i**(1\/8)\/i)\/i)**(2\/113) assuming i is positive.\nAnswer: i**(-46223\/3084900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - i + 291 = -331, 2*u = -5*i + 393. What is the greatest common divisor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*w = -192*w + 3960 + 14197 + 7885 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44483*o**3*p**2 - 12*o**3*p - 5*o**2 + 441*o*p**2 + 106*o + p**2 + 40*p wrt o?\nAnswer: -266898*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/60 - 5*m**5\/12 + 25*m**4\/24 - 7*m**3\/3 - 98*m**2. What is the lowest common multiple of 10 and q(12)?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:47 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3203230160 to the nearest 100000.\nAnswer: 3203200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42540907, 170163623, 382868149, 680654485, 1063522631, 1531472587, 2084504353?\nAnswer: 2722617929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 99 + 43. Suppose i + 168 = 4*c, -5*c + 3*i + 285 = 68. Calculate the remainder when c is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4041710 by -5195.\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 3*n + n + (0 + 14 + 15)*(0 + 1 + 1)*(4*n - 14*n - 109*n).\nAnswer: -6904*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -34, 5, -120, 0 in descending order.\nAnswer: 5, 0, -9, -34, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 1)*(-1 + 2 - 2)*(-n**3 + 0*n**3 + 2*n**3 + (-23*n**3 + 39*n**3 - 3*n**3)*(3 - 5 + 3)) in the form w*n + h*n**2 + t + k*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -376200 divided by -6\nAnswer: 62700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 12) to base 5.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, -2, -303\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 0 + 0 + (-i + 0*i - 3*i)*(i + 3*i + i) to the form j + p*i + o*i**2 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -21*y**2 + 12*y + 22. Let o(c) = 7*c**2 - 4*c - 7. Let r(f) = -7*o(f) - 2*x(f). Let s(i) = 24 + 0*i - 42 + i + 19 - i**2. Give r(k) - 5*s(k).\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s + 7. Let g be h(0). Let n = g - -7. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*c**2 + 0 + 3*c = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -201, -365, -529, -693?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28987 and 32431?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 283?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12235? (a) -4 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99158)\/(-14) - (-58)\/203. What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*f**4 - 44*f**4 - 14*f**4 + (2*f**2 + 3*f - 3*f)*(-4*f + 4*f + 2*f**2) + (2*f**3 + 5*f**3 - 4*f**3)*(-2*f + 2*f + 2*f).\nAnswer: -69*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47194787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1270 and 12954.\nAnswer: 64770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 20. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d + 2, -3*n = 5*d - 55. What is the lowest common multiple of 50 and n?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 504 = -4*p, 4*p + 5*x - 504 = x. Calculate the remainder when 387 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(2*j**5 + 4*j**5 - 4*j**5) - 2*j**4 - j**5 + 2*j**4 + (0*j - j**2 + 0*j)*(-j**3 + j - j) + 2*j**5 - 10*j**5 - 3*j**5.\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010001111 (base 2) in base 13?\nAnswer: -434c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9 + 0*b**2 + b**2 + b + 0*b. Let w be 8\/(-5)*(-25)\/20*-4. Calculate the remainder when o(w) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-3))\/(7\/(-168))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9 - -3.8. Let s = j + 0.1. Let d = s - -2.0021. Round d to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/14)\/(6\/(-1988)). What is the nearest to -1 in l, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3141755, 3141753, 3141751, 3141749?\nAnswer: 3141747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s**3 - 107*s**2 + 186*s - 6. Let h(p) = -7*p**3 - 105*p**2 + 183*p - 5. Let o(y) = -5*f(y) + 6*h(y). Find the second derivative of o(g) wrt g.\nAnswer: -12*g - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(7) + -1)**2 + (sqrt(7) + sqrt(84)\/(-4*sqrt(12)))*5.\nAnswer: 32 + 55*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924478*1.\nAnswer: 924478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/9)\/((-4)\/6). Suppose 44 = n*z - 2*h, -4*h + 5*h - 28 = -3*z. Suppose -3*v + 2*v = -z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8455 - 3954 = -1141*l + 11552 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*u = 2226. List the prime factors of u.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttttltlttlltlt. Give prob of sequence ll.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12) - (-3)\/(-4). Let u(w) = w + 1. Let k(r) = -6*r - 6. Let z be -4 + (13 - 4) + (411 - 11). Suppose z*t - 408*t = 15. Give f*k(v) + t*u(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/5 (b) 7\/94 (c) -2759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0 - -7*11. Let m(n) = -n**2 + 40*n - 245. Let b be m(32). Suppose 0 = b*c - 400 + 37. What is the highest common divisor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3080 (base 9) to base 6.\nAnswer: -14243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132915 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 10:28 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*3 + 7. Suppose -4*r - 2*m + t = -5, 3*r + 10 = 2*m. Suppose 0 = -3*k - r*k. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lafaaaafflaf. What is prob of sequence llff?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131 - -42. Let x = u + 88. Let j = -0.082 + 2.082. What is the second smallest value in j, x, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 22 (b) 0.3 (c) 4\/5 (d) -17\/121 (e) 8\/5 (f) -9 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 887004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*j**3*r + 723851*j**3 - 116*j*r - 17*r wrt r?\nAnswer: -90*j**3 - 116*j - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 194\/21 (c) -15 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8395 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z + 1. Let c be z - (-4 + 2)*-13. Let r = 45 + c. What is the smallest common multiple of r and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 320 + -284. Calculate the lowest common multiple of j and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56924)\/(-475)*15\/2. Let y = z - 94739\/105. Find the common denominator of 32\/111 and y.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9755.\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 + -201. Suppose 59 + s = -2*q. Let x be 1\/4 + q\/32. Do x and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:10 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 + 3. Let k = v - -10.4. Let w = k + -6.900114. Round w to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 + 344\/44. Let o be (-6)\/s - 3\/12. Suppose 0 = -2*t + 3*t + 3*t. Sort o, t, 4 in increasing order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 9 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 17*u - 19. Suppose 2*k - 43 = 5*l, -u*k - 4*l = 2*k - 190. Calculate the remainder when 126 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**2. Let t(a) = 2694*a**2. Give z(t(x)).\nAnswer: -116122176*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7851823 + -3?\nAnswer: 7851820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*1 + (sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100)*-2) - sqrt(1100)) + sqrt(1100))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15229*u**3 - 9*u**2 - 2*u - 432739.\nAnswer: 45687*u**2 - 18*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 8\/16*2. Which is the third smallest value? (a) w (b) 1 (c) 3\/364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1074 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 + 201. Suppose 34*f = z*f + 522. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*f + 2*f - 30, 2*f = -3*s + 24. Let u(x) = 5*x - 24. Let k be u(s). Suppose 6 + k = 4*w. Solve -3*a + o + 23 = -3*o, -w*o = 2*a - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l**2 - 22*l + 10. Let o be 5 + (-2)\/(-8) + (-65)\/20. Let v(g) = -4 - o*g + 23*g - 5 + 12*g**2. Let c(f) = 3*t(f) + 2*v(f). Factor c(z).\nAnswer: -3*(z + 2)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1057 + -7372\/7. Let c = 35328 - 989285\/28. Let v = s + c. Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7265*u = 7223*u - 966 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -32. Let v be ((-8)\/(-5))\/(3\/k). Let g = -3 + 3. Solve g*m = -4*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 114, 129, 142?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-2)\/12). Let l(r) = -5*r**3 - 14*r**2 - 29*r + 13. Let h be l(-4). Let v = -223 + h. Solve -s - v*f = -1 + 4, 5*f = 2*s - c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose u - 5*c - 18 = -o*c, 0 = -3*u + 3*c + 30. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgbb when four letters picked without replacement from {g: 7, b: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 12\/15)*-5. Suppose -3*p = -6, -p - 2 = -b - x*p. Put -3, b, 1\/3 in decreasing order.\nAnswer: 1\/3, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1664 and -121\/33024.\nAnswer: 429312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -659, -1488, -2649?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -69, -120, -191?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/29)*g**(16\/7))\/(g**(8\/13)\/g*g*g**2) assuming g is positive.\nAnswer: g**(-779\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18632474 to the nearest integer?\nAnswer: 4317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*p + 47. Suppose 12*r - p = -9. Sort 4, r, -3.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2391882*l**2 - 2391882*l**2 + 2160*l**5 + 5*l - 5*l - 2*l**5 + 0*l**5 - 6*l**5 + 4*l**5 + (-2*l**3 - l**3 + 2*l**3)*(2*l**2 + 2*l**2 - 3*l**2).\nAnswer: 2155*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = 43. Let n be 0 - -3 - r\/(-3). Does 7 divide 54\/(4 + n) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/2)\/(((-333)\/407)\/9))\/(1\/(-2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -183, 181\/3, 1\/5.\nAnswer: -183, 1\/5, 1\/4, 181\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4873\/1384 + 18\/173. Find the common denominator of -131\/6 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 0*g + 4*g)*((-20 - 21 - 4)*(-3 - 2 + 12) + 7 - 4 - 2).\nAnswer: 628*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 16*h = 25. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*y - x + 2*x, -5*y - 15 = 5*x. Let h = 6 + y. Factor -h*q - 2*q**3 + 3*q**3 + 2*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331015*g**2 + 96748.\nAnswer: -662030*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-147)*13\/(5304\/36)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baha when four letters picked without replacement from hhxahaphbah?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {k: 2, x: 4, b: 6, v: 3, f: 1}?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 61 = 4*v - 0*v, -4*v = 5*o + 79. Let q = v + 39. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y - 3*y + 4*y)*(-2 + 3 + 0) + 2*y + 0*y - 3*y + y + 2*y - y)*(-7 - 1 - 2).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 923\/4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5182 or 5185?\nAnswer: 5182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2 - 4*d**2 + 0 + 5*d**2 - 3*d + d**2. Let m be o(2). Suppose 5*s = 2*s - 12. Put -5, s, m in decreasing order.\nAnswer: m, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0154 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*k - 27. Suppose -w - 12 = 4*a, -2*w + a = 6*a + 12. Let n = w - -2. What is the remainder when n is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -48*z**2 - 5*z - 4. Let r(c) = -97*c**2 - 11*c - 9. Determine -9*m(h) + 4*r(h).\nAnswer: 44*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from upuppziirul.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 46*y = 282. Sort y, -17, -1, -4 in ascending order.\nAnswer: -17, -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1234364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5*g**6\/8 - 101*g**5\/30 + 21*g**2 + 1. Find the third derivative of f(b) wrt b.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -1)\/((-14)\/(-21)). Let z = 27 + g. Suppose 4*u = 5*t - 0*t - z, -u = 4. Calculate the greatest common factor of t and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61729053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 20041899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1032, -10\/19, -1, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29234 + 45250. List the prime factors of l.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -127 - -139?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from ddfpddppnp.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 210151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*o**2 - 256*o + 4*o**2 + 564 + 446*o - 566 + (-o - o + 4*o)*(3*o + 3*o - 4*o).\nAnswer: -63*o**2 + 190*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90387*k**3 + 1062*k - 356293964 wrt k.\nAnswer: -271161*k**2 + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110110011101100101 (base 2) to base 13.\nAnswer: 13cb19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o + 5. Let m be d(6). Let a(l) = -4*l - 2*l + m*l. Let u(z) = 177 - 90 + 5 - 92 + 2*z. Determine u(a(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*h + 1083302, h + 3*t = 333413 + 208234. Let q = 53778 - h. Let k = -697875 - q. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*n + 17*n + 3*n**4 + 24 + 17*n + 24*n**3 + 63*n**2 = 0. Calculate n.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89 - 0.373?\nAnswer: 0.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*o**3 + 4 + 3*o**4 + o + 43*o**3 to j*o**3 + a*o + c + m*o**2 + k*o**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069270311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 8055*s**2 - 176121*s - 966669.\nAnswer: -3*(s + 11)**2*(s + 2663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 - -d652?\nAnswer: d5d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -4, -30, -2, 5, -6475 in decreasing order.\nAnswer: 5, 4, 3, -2, -4, -30, -6475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-88961811196057\nAnswer: -88961811196057.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1222*b**2 - 2*b**3 - 617*b**2 - 2*b**3 - 605*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 139179413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/54 and 53\/5886?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + r = 253, -5*w + 969 = 3*r + 335. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**2 + 171*r - 495. Let o(n) = -8*n**2 + 170*n - 486. Let m(x) = 3*o(x) - 2*v(x). Solve m(w) = 0.\nAnswer: 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346564691 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -14*i + 739. Calculate the highest common divisor of 63 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**11*a))\/a*a*a\/(((a\/a**(3\/2))\/a)\/a))**(-22))**4 assuming a is positive.\nAnswer: a**748","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50423308?\nAnswer: 2, 13, 969679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63901*f**4 - 3*f**2 - 367492*f wrt f?\nAnswer: -766812*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01132 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/450 and 37\/1065.\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 1132 - 9*m - 1170 + m**4 + 5*m to the form q*m + v*m**3 + y*m**2 + i + h*m**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-2)*(-24)\/336. Let q(p) be the second derivative of -m*p**4 + 0 + 0*p**3 + 0*p**2 - 1\/2*p**5 - 16*p. What is the third derivative of q(k) wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/215*(130\/(-520))\/(27\/(-180))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 4, o: 4, l: 3, f: 1, x: 1}. Give prob of sequence ug.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144966880 and 440?\nAnswer: 1594635680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*z - 5*z + 156*z)*(-1 + 0 + 2).\nAnswer: 269*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*b**2 - 14*b + 150.\nAnswer: 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - k**3 - 1509 + 1509.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -623 - 170*s - 624 + 3*s**5 + 1247 wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.5 - 0.5. Let p = y - 7.3. What is the nearest to 1 in 0.3, -4\/3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/(11\/(-11)))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 2*m - 5*m - 3*m + m + m + (-2 + 1 - 1)*(0*m + 6*m - 4*m) to s*m + f and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 363 and 368 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 5 + 4 - -14) + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 21*l + 10. Let h be w(-10). Let v = 8 - h. Solve -3*o - v = -23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a7a8 + 13?\nAnswer: 1a7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-161) - (-39)\/14)*(-28)\/(-308)*-11?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -988 divided by 8?\nAnswer: -247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 19 + -7 + (-6 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 21\/137?\nAnswer: 21\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 2 + 0*g - 25*g. Let k be s(-8). Is k + ((-6)\/2 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000524 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9993.039 years in decades?\nAnswer: 999.3039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.4, 3\/4, -4, 2350 in descending order.\nAnswer: 2350, 3\/4, 0.4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/2 (c) -2 (d) 3\/7 (e) -143 (f) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f**3 - 3*f + 2*f + 0*f - 673*f**3.\nAnswer: -557*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 326*y**2 - 4*y**3 - 33*y**2 + 0*y**3.\nAnswer: -4*y**3 - 359*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(1573)*-1*5 + (-1 + (sqrt(1573) + 1)*-6)**2.\nAnswer: 814*sqrt(13) + 56673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - (-1 - 155\/(-4)). Let a = n - -43. Let s(f) = -1. Let c = -2 + 3. Let m(v) = v + 4. What is a*s(r) + c*m(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500018 divided by -318?\nAnswer: 14151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 474*s**4 - 390*s**2 wrt s.\nAnswer: 11376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80575535 - -1450718975\/18. Let c = m - 19969. Calculate the common denominator of 91\/74 and c.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5570, 2621, -328, -3277, -6226, -9175?\nAnswer: -12124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246783.\nAnswer: 3, 82261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101102 (base 4) to base 12.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1570522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxoxojrjxjooooxfjxo. Give prob of sequence fo.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.034 + 0.366. Let g = -0.38 - -0.08. Let d = g + 0.8. Put v, d, 2\/3 in decreasing order.\nAnswer: 2\/3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkd when three letters picked without replacement from bgobkddgh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*n + 296*n + 340921 = -1311*n - 869*n for n.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1978 and 16856.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23809961 divided by -1\nAnswer: 23809961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 624798 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: What is the value of ((-5)\/(-64))\/(189\/(-1323)*21\/(-36))?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, r: 1, a: 1, n: 1, u: 2}. Give prob of picking 1 u, 1 j, and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-5 - -1) + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010000 - 0?\nAnswer: 1111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941020 rounded to the nearest 10000?\nAnswer: 4940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 3*l**5\/5 + 10*l - 8. What is the derivative of o(g) wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258290*0.4.\nAnswer: -103316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*11\/(-308)*-6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-4)\/32*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7 = 2*o, 2*o + 393*l - 390*l = -0*o - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 21*p**2 - 137*p + 919. Calculate i(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204150215.\nAnswer: 5, 17, 4787, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 6*k + k + 36 = 0, -7*r = -644*k + 640*k + 37 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 21\/5. Which is the closest to m? (a) 4 (b) 2\/15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-15)\/(-2 - -5). Sort 0.1, -1, w in ascending order.\nAnswer: -1, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 617155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -918014.7421 take away -1.26?\nAnswer: -918013.4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j + j**3 + 4*j**3 + 18*j**3 wrt j?\nAnswer: 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11147200 and 5.\nAnswer: -55736000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 226\/46 + 7\/((-805)\/(-10)). Solve 3*u = -f, f + 2*u - y = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10946, -21904, -32862, -43820, -54778, -65736?\nAnswer: -76694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 divided by -448.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 6. Determine s(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123*t**3 - 1167459*t**2 - 417310211 wrt t.\nAnswer: -369*t**2 - 2334918*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (25 + -31 + 8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 132938, 531323, 1195298, 2124863, 3320018, 4780763, 6507098?\n\"Answer: 132795*s**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6336 is divided by 2108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 46.\nAnswer: 19\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.88 times -2?\nAnswer: 53.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-25)*m**(12\/5)*(m*m\/m**(-1\/11))**(-8) assuming m is positive.\nAnswer: m**(-2163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(15*r**4 + 27*r**4 - 12*r**4) + 32*r**3 - 32*r**3 - 17*r**4 + (2 - 2 - r**3)*(r + 4*r - 3*r).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 46. Suppose 4*g + b = 4*v - 46, -4*v + 77 = g. What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*5*sqrt(1088)*-1)**2*-2.\nAnswer: -108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 386 = -4*i, 4*k - 538 + 38 = -2*i. Calculate the highest common factor of k and 1170.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -370?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 546*y + 1 + 4*y**3 - 546*y - 2*y**4 to q*y**4 + d*y**2 + p*y**3 + j*y + t and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1306 + -7.3794. Let o = j - -0.41. Let d = o + 2.1. What is the biggest value in d, 2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/7 + 0. Let y = 251 + -251. Let q = 0.4 + -0.3. What is the nearest to y in q, 1\/2, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 2 h when four letters picked without replacement from {k: 1, w: 3, e: 3, h: 2, p: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 373*a - 373*a - 41 + 2*a**2 + (2*a + a - a)*(3*a - 2 + 2) + 3 + 2*a**2 - 3.\nAnswer: 10*a**2 - 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8955 or 17911\/2?\nAnswer: 8955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 109, 3 in ascending order.\nAnswer: -5, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/4 - (-2242836)\/262320.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and 6\/(-3)*((-252)\/75 + 4).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064884753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**4*i*n + 8*f**3*i*n - 9*f*i*n - f*i + 23*f*n - 2*n wrt f?\nAnswer: 96*f**2*i*n + 48*f*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -67. Calculate the remainder when 59 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(16\/(-6) - 0). Let o(t) = 2*t**3 - 6*t**2 + 6*t - 6. Let l be o(4). Suppose 0 = 4*p + 5*b - 3 - c, -l = -5*p + b. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2365001*x - x**2 - 2365001*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + 7. Let u(i) = -i**3 + 10*i**2 - 15*i - 20. Let g be u(7). Suppose -g*v = 8*v - 240. What is x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121212083*3\nAnswer: 363636249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let r(n) = -74*n**2 + 8077*n + 72. Calculate b(r(c)).\nAnswer: 74*c**2 - 8077*c - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 50, -0.4, -8\/223?\nAnswer: -8\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201)\/(-69) - (34 + -31)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 253\/2*(8 - 4). Let s(y) = -15*y - 8. Let x be s(-2). Calculate the greatest common factor of x and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - ((4 - 8) + 2). Suppose g = -8*m + 30 + 2. Solve 25 = -5*o - 6*x + x, 0 = m*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) -1\/8 (c) 1749\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 56, -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -6, -28157, -2 in ascending order.\nAnswer: -28157, -6, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200.494 + 0.494. Let f = z + 245. Which is the second biggest value? (a) 1 (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 32\/(-18) + (-80)\/(-45). Suppose t*y = -8*b + 9*b - 6, 4*b + 12 = -4*y. Solve 0*p - 3*p - 15 = -q, -5*q + 5*p + 35 = b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -24*x - 2288. Let r be x\/(-48) + (-1 - 2). Let v = -15 + 11. What is the nearest to r in -2\/17, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0 + 2. Find the third derivative of j*g**5 + 10*g**5 - 3*g**2 - 32*g**5 wrt g.\nAnswer: -1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55212 divided by -13803?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 6*a**2\/7 - 732*a\/7 - 432 = 0.\nAnswer: -4, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -150776, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Suppose -3*z - 108*w + 20 = -104*w, -4*z = 2*w - 40. What is the remainder when o\/3 - (-140)\/6 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzyzdn. What is prob of sequence yd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2)\/((-8)\/(-444)). Suppose m = 6*o - 3*o. Let z = 74 - o. 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: What is the remainder when 719169 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198866 (base 10) in base 15?\nAnswer: 2d67b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -316 times 5\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102451\/9 + -11388. Find the common denominator of q and -58\/8073.\nAnswer: 8073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37.2 - 37. Let q = 0.1996 - c. Round q to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 792108018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 2. Let t be z(-1). Suppose 2*b = 4*j + 42, 0 = 3*b + 3*j - t*j - 53. Solve -3*v + b - 2 = 3*k, 20 = 5*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 9*y - 10. Let o be u(8). Sort o, 2, -3 in decreasing order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660802515 to the power of 1\/2, to the nearest integer?\nAnswer: 25706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 73. Let y be -2*(-1)\/(-3)*(v - 0). Which is the smallest value? (a) -2\/11 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/(-234) + 40\/780?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.1, 3, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/37630 and -13\/20.\nAnswer: 75260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 501*g**6 - 13*g**5 - 35*g**2 - 259*g wrt g.\nAnswer: 60120*g**3 - 780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + j**3)*(-3*j + 91*j - 32*j - 14*j)*(109*j - 50*j - 71*j).\nAnswer: -504*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 - ((-5 - -1) + 102). Let r be ((-62)\/68)\/((s\/6)\/(-11)). Let c = r + -1\/17. Put 0.2, -1, 1\/9, c in decreasing order.\nAnswer: 0.2, 1\/9, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13730885, 27461766, 41192647, 54923528?\nAnswer: 68654409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 70\/12 + 2\/12. Suppose -2*t = 5*a - 8, 5*t = -2*a - 0*a + 20. Let j = t + -2. What is the highest common divisor of c and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 4)*(15*g + 25*g - 8*g)*(2*g + 3*g + 0*g) to i + x*g + f*g**2 and give f.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2893607*w**2. Let m(q) = -q. Calculate d(m(o)).\nAnswer: 2893607*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100012110 (base 3) in base 4?\nAnswer: -23033322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 4*x - 2. Suppose -3*y = -61 - 17. Let j = -33 + y. Let w(v) = 10*v**2 - 13*v + 5. Let b(u) = j*d(u) - 2*w(u). What is b(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -127592.62?\nAnswer: -51037.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 127543345?\nAnswer: -10203467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18234 = -2*m, 0 = -4*m - 9*w + 14*w + 36470. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 188*s + 85. What is the units digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 2*r**4 + 3*r**4 + (0 + 1 + 1)*(r**4 + 0*r**4 - 3*r**4) - 3*r**4 - r**4 + r**4 + (8*r + 84 - 84)*(0*r**3 - r**3 - r**3).\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 86.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/17928 and -31\/98604?\nAnswer: 197208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 103?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 19*t**2 - 46*t - 12. What is v(16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Suppose t - 3 = -i*t. Calculate the remainder when 10 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*u - 34, 2*x + 0*x - 32 = -4*u. Suppose -12 + 0 = -x*z. Solve 3*w + z*w = 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:05 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351977 and 1149?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -89. Let l(m) be the first derivative of -d + m + 1\/2*m**2. Determine l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -44. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4788 and 5460?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**8\/140 - c**7\/35 + c**6\/50 + 2*c**5\/25 - c**4\/5 + c**3\/5 - 19*c**2 - 4. Let o(f) = 0. What is f?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1396.23 decades to centuries.\nAnswer: 139.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 385 = q + 1615, -q + 2000 = 4*r. Round r to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 33*z**3 - 4*z**2 + 3*z**2 + z + z**4 - 35*z**3 - 2*z as b*z**2 + t*z + l*z**4 + d*z**3 + g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20133320311 + -22?\nAnswer: -20133320333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 6 + 3 + 1 + 4*w**2 to the form o*w + m*w**2 + c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b**2 + b)*(0 - 2 + 1) + 0*b - 2*b**2 + 0*b + (-b - b + b)*(3 - b - 3).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 7*v - 5. Let j be r(-6). Let o be (j\/(-14))\/(2\/4). Let s = 15 - 20. Which is the nearest to -1? (a) o (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 + 662*y + 3935. Give x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/3 + 3*p**2\/2 - 21*p. Let m(b) = -2*b + 2. Determine -6*m(a) + 4*t(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 5*t + 5. Let r(s) = 3*s**2 - 4*s + 4. Let a(b) = -4*m(b) + 5*r(b). Suppose -17*i = -16*i - 1. Let q(o) = o**2 + o + 2. Give i*a(y) - q(y).\nAnswer: -2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -0.5 (c) -735 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/(sqrt(72)\/(3*sqrt(8))) - (-4 + (sqrt(8)\/sqrt(100))**2)*-1.\nAnswer: -98\/25 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 - 17*j**4 + j**4 + (5 - 5 + 2)*(-3*j**4 + 2*j**4 - 2*j**4) in the form u*j**4 + n*j**3 + c*j + k + t*j**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*t + 476*t + 615*t.\nAnswer: 2263*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g + 30*g + 24*g + 23*g - 121*g + 22*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*v - 7*x - 4, v + 175401 - 175463 = 11*x for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -377 + 753664?\nAnswer: 753265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 149*x - 2. Let s(a) = 4*a**2 - 24*a - 12. Let b(c) = -35*c**2 + 220*c + 110. Let h(n) = 6*b(n) + 55*s(n). Calculate i(h(v)).\nAnswer: 1490*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397448633.\nAnswer: 397448633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 375 + -68211?\nAnswer: -67725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/12*(-3424)\/(-535). Solve 2 = y + 3*s, p*s = 29*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -45\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 8. Let v = 2 + q. Let s be v\/5 - 4\/10. Calculate the highest common divisor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, f: 2}. What is prob of picking 1 f and 2 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -7a4366?\nAnswer: -7a4364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (14 - (30 + -14))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21700, -21702, -21704, -21706?\n\"Answer: -2*h - 21698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31718*b - 117 + 33 + 24 + 31436*b + 28 + 30.\nAnswer: -282*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, 0.07, -0.07, -2\/49, -1, -0.08, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22757, 45259, 67761, 90263, 112765?\n\"Answer: 22502*f + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z - 7. Suppose 2*j - 3*h = 21, 5*j + 4*h - h - 21 = 0. Let y = j - 0. Let l be g(y). Put l, 0.3, -2 in ascending order.\nAnswer: -2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*((-4094)\/1932)\/89.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/8859 + -8843\/35436. Which is the fourth smallest value? (a) 1 (b) 2\/7 (c) g (d) -2\/13 (e) 66\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/20979 and -68\/5439.\nAnswer: 146853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2db5 - -2db3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5701286 is divided by 154088?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 81*g - 126. Let q be n(-42). Suppose 0 = -3*d, q*d + 5*d = b - 1136. What are the prime factors of b?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28, 3\/2, -271.08, 0.6?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 641 (b) -4 (c) 1 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 3*q**2 - q + (-4*q**2 + q**2 - 3*q**2)*(171 - 120 - 149) to the form o*q + i + j*q**2 and give j.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4854.86ml to litres.\nAnswer: 4.85486","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -30. Suppose -a*z = -6*z + 3. Suppose 4*u + 4*f - 762 = 2*u, 0 = 5*u - z*f - 1957. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3\/(-2) - -1). Let a be ((-3)\/(-2))\/(1\/4). Let s be (-8)\/a*(-6)\/(-4). Is q bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 25750*r - 334609. What is s(-13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -8*g**2\/3 - 621886*g\/3 + 51824 = 0.\nAnswer: -77736, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 9283 = -3403. What is the remainder when q is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(475) - (-1 + sqrt(475) + sqrt(475) + 3))*-4)**2 + 5*(sqrt(475) - 4*(sqrt(475) + -1))**2 + 3.\nAnswer: 4520*sqrt(19) + 144082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 + 12*d**4 - 14*d**3 - 96*d**2 - 72*d = 0.\nAnswer: -6, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = -3*g, 5*g + 2*k + 7 + 7 = 0. Let o = 100.97 - 101. Let y = o + -0.07. Which is the closest to 0.3? (a) y (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30802601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*l + 554 - 554)*(-2*l**2 + l + 0*l + 0*l).\nAnswer: -108*l**3 + 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 10:56 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3949.\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 901489600 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1777854 and -43\/362706.\nAnswer: 108449094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.172 + -0.2. Let r = q + 0.308. Let w = r + 0.2. Round w to two decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2022597*p + 1 + 2022597*p - p**3 - 11*p**3.\nAnswer: -12*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75\/7 or -0.3?\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b - 15. List the prime factors of d(19).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 205164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5596 - 5584. Solve -32*h = -31*h - 3, -4*h = 4*x - s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*z + 1911 = -84 - 231 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**7\/70 - 9*r**6\/40 - r**5\/2 - 4207*r**2. Suppose o(l) = 0. What is l?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/24*6\/21. Which is greater: f or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 4782660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x - 1. Suppose -x*u = -u. Suppose u*o - 30 = -2*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(1 + sqrt(304) + 2 - sqrt(304) - (3 + 0 + sqrt(304))))**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/6)\/1)\/(8920\/18732).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -342, -2585, -8678, -20547, -40118, -69317?\n\"Answer: -321*p**3 + p**2 + p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 625 + -448. Let v = s - -174. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 1 + 7. Solve 2 = o*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5527*m + 110113 + 40368 - 57321 = -111339 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -712658, -2850659, -6413990, -11402645, -17816618?\n\"Answer: d**3 - 712671*d**2 + 5*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12637506 divided by 2\nAnswer: 6318753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 51*p**2. Let v(i) = -2*i**2. Calculate t(v(m)).\nAnswer: 204*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20468400.\nAnswer: 2, 3, 5, 37, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/3, -3, -4.7, 0.3 in ascending order.\nAnswer: -14, -4.7, -3, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485 - -11398. Suppose 2*a + 3*a = 25. Suppose u = a*o + 2*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10010*t**3 + 4*t**2 + 42548?\nAnswer: -30030*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578832 to the power of 1\/2, to the nearest integer?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22135, 22169, 22255, 22417, 22679, 23065, 23599?\n\"Answer: 4*f**3 + 2*f**2 + 22129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (59*3\/(-3))\/((-9)\/135). Suppose -v = -3*g + 1050. What are the prime factors of g?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40003, 80158, 120313, 160468?\n\"Answer: 40155*i - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 - 3)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-72)*8\/(-21))\/((-208)\/168)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8177794 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100848064795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w + 4. Suppose -265 = -w*q - 3*q. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 4*k + 0*k + (2*k - k - 2*k)*(1 - 2 + 0) + 2*k + 0*k + 0*k + 4*k - k - 2*k)*(-3*k + 0*k + 2*k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 232290?\nAnswer: 232305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) + (-17)\/5. Let w(t) = -4*t + 3. Let s(i) = 7*i - 5. Let k(a) = g*s(a) - 5*w(a). Determine k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**6\/360 + t**3\/3 - 5*t. Let h(f) be the second derivative of g(f). Let x(z) = 10*z**2. Calculate h(x(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + f = 11, 3 - 9 = -3*v - 5*f. Let u(m) = 1 + 10*m + 4*m**2 + 2*m**2 + 0 - m**3. What is u(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9 - 0 - (-124)\/(-93). Let r(w) = -2 + 5*w**2 - 2*w + w**2 - 4*w**2 - w. Calculate r(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071166 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 13885*p**3 + 0*p**2 - 8*p + 6*p + 1401*p**3.\nAnswer: -12484*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*w - 12, 116*w - 111*w = -m - m - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18.8*93\nAnswer: -1748.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1232 + 1887. Suppose -3*l + 4*l - v = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1423 - -2?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 479 - 477. Solve -n*o = -4*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15*q**7*q*(q**(-1\/12))**(13\/4) assuming q is positive.\nAnswer: q**(1091\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2268) - (sqrt(2268) + sqrt(2268) + sqrt(2268)*-4 + sqrt(2268))) + sqrt(2268))**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 51?\nAnswer: -8\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.68 - 1.1. Let x = 0.580054 - m. What is x rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/27 (b) 24 (c) -10\/9 (d) -2\/17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let h = -5 - -8. Suppose -4*d - h*r = -17, 3*d + r = 9 - 0. What is the remainder when d is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 663?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*10\/15*3\/(-2). Solve 3*a - 3 + 15 = r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -1, 17, 461 in decreasing order.\nAnswer: 461, 107, 17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 717 and 136.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13475.266 to the nearest ten.\nAnswer: 13480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -912281, 3, 5.\nAnswer: -912281, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-2\/3)))\/t**(-1\/3))**(-2\/11) assuming t is positive.\nAnswer: t**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 507720 - (-1 + (1 - 0) + 0). Suppose -m = -6*n + 2479020. Let i = n + -757790. Round i to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92110 divided by 61?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 40*z**2 - 37*z**2 - 3*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 + f - 2. Let n(a) = a**3 - 5*a**2 + a - 2. Let x(l) = -3*n(l) + 2*w(l). What is x(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 335 (c) 0.12 (d) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 372*j\/5 + 736\/5.\nAnswer: 2*(j - 184)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 555 = 5*w - 0*f, 339 = 3*w - 3*f. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*n + 145*n. Let t(y) = y**3 - 2*y**2 - y + 284. Calculate the remainder when t(n) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -175. Let l be (c\/(-91))\/(26\/(-91)). Let f = 16\/3 - 14\/3. Sort 4, f, l in decreasing order.\nAnswer: 4, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/52*160\/(-600).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*16\/100)\/(12\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 33\/(-77) - (-17)\/56 - (-48497)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 207 + 210 = t, -433 = -t - 3*z. What is the remainder when t is divided by 95?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98841, -98816, -98777, -98718, -98633, -98516, -98361?\nAnswer: -98162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243661 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.52.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -2, -8 in increasing order.\nAnswer: -56, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 10*p**2 - 15*p**2 + 20*p**3 + 5*p**2 + 0*p**2.\nAnswer: 20*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 6484 = 6302 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115124\/245 or -470?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4601\/13776 - -3\/4592. Sort 0.851, k, -0.1 in increasing order.\nAnswer: k, -0.1, 0.851","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + -10.7. Let t = i - -6. Let h = -3 - t. What is the third smallest value in h, 0.5, -1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 6*((-1*sqrt(900) - sqrt(36))\/sqrt(12) + sqrt(48) + 3 + 4))**2.\nAnswer: -1080*sqrt(3) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8436599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s = 0. Let f = 665 - 665. Suppose 0 = -f*y + 3*y + 3*j - 36, -3*j - 12 = s. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667112543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30050)\/11115 + 750\/7125 + (-2)\/(-13).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(171) + -3 - sqrt(171)) + sqrt(171))**2 + -4)*3 + 0.\nAnswer: -18*sqrt(19) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -41?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.040651 (b) -7\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 7. Let r(k) = 5*k + 2 + 0 - 4*k. Suppose o = -4 + 2, 11 = s + 5*o. Let a(i) = s*r(i) + 6*h(i). Let z(l) = -2*l. Calculate z(a(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1265224, -1265198, -1265170, -1265140, -1265108, -1265074?\n\"Answer: t**2 + 23*t - 1265248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Is 17*(-1 - -15)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139122200 and 38700?\nAnswer: 1252099800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/5 - 719198*y**3\/5 + 7192134*y**2\/5 - 16541986*y\/5 + 10069052\/5 = 0?\nAnswer: -359609, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*b - o - 22, 0 = b - 3*o - 12. Suppose 3*q = 4*w + 7*q + 108, 3*w = -5*q - 85. Let h = 25 + w. Solve -2*v - b = -h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -26.5. Let u = -12 + o. Are u and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 5. Let w = -1378 - -1378. What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v = -12*v - 4202249. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/72 - 295\/(-9). Let f = n + -13. Suppose -4*u + 50 = a + 10, a - f = -2*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 891 and -10.6991078503.\nAnswer: 880.3008921497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -669*a + 1249 + 0*a**3 - 5*a**3 + 14*a**2 - 661*a + 487 + 1331*a wrt a.\nAnswer: -30*a + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6)\/(5\/(-15)). Let j = t - 3. Sort j, 2\/7, 0.2.\nAnswer: 0.2, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyyygyyy. What is prob of sequence ygy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 38 = 36. Let h be (-24 + 23)*(t + 3). Let l(j) = -j**2 - 4*j - 7. What is l(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -2*p**3\/3 - 12*p. Let n(s) = -5*s. Let c(b) = 2*n(b) - 3*w(b). Let f(j) = 5*j + 4*j - 3*j. Determine -17*c(r) + 6*f(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/4)\/(6\/(-32)). Suppose 4*u - 4*l - x = 8*u, 2*u - 3 = l. Solve 5*b - 30 = 2*o, 0 = 2*b - u*b - 4*o - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*n + 308. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*n - 122*n = -4161 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -399315.2\nAnswer: 399314.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (16 + -7 + 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 81. What is the lowest common multiple of 32\/6 + 6\/9 and x\/15*-24*1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43501921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*q - 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 80946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24275.45 + 0.5.\nAnswer: -24274.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 79*m - 167*m + 246*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17067119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 12*s - 6. Let c be w(5). Suppose x + c*z + 15 = 0, 4*x = x + 3*z + 30. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 = -2*g - 22, 0 = 3*b - 3*g - 24. Let c = -0.1 - 0.9. Let s be 370 + -367 + 7\/(-2). What is the third smallest value in c, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + -7 + 15. What are the prime factors of 0 + (-1 + h - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 - 170*m + 9600 = 0. What is m?\nAnswer: -64, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/60 - 19*w**4\/24 + 22*w**3\/3 - 35*w**2. Calculate the least common multiple of 64 and c(-21).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 8*z**2 - 8*z - 3. Calculate q(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1560742\/15 or -104049?\nAnswer: -104049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -667126 + 667088.00129. Let a = c + 38. What is a rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = s - 211 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*u - 977 - 622 + 554 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 117 = 5*i. What is the units digit of i\/(-4) + (-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81571692*x + 78993251?\nAnswer: -81571692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/29 in -0.4, 87\/26, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*s + 577 = -165, 3*q = s + 722. Let d = -1097 - -1141. What is the greatest common divisor of d and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlrr when four letters picked without replacement from raoarlarllrll.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*x - 66*x - 3525. List the prime factors of x.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 2*s + 0*s + (s - s - 2*s)*(-2 + 0 + 4) + 3 - 3 + s + 0 - 2*s + 0 + (-4 - 1 + 4)*(-62*s + 4 - 14 + 12)*(-8 - 4 + 0) to m*s + t and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + 10*a + 9*a)*(5*a + 2*a - 4*a).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1363\/120 + 57\/5. Let h = p - -13\/72. Which is the closest to 8\/3? (a) 5\/3 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.0929\nAnswer: 0.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1 + -2)*7. Suppose 5*a = h*a - 22. Let c(l) = l**3 + 16*l**2 + 9*l - a*l**2 - 13*l**2 + 3. What is c(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/120 + 7*i**5\/60 + i**4\/6 - 7*i**3\/6 + i**2. Calculate the remainder when 19 is divided by y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 79*q + 4*l = -422, -1127 = -5*q - 2*l. Calculate the remainder when 443 is divided by q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -0*k. Find the second derivative of -3*z - 3*z + 4*z + 4*z**2 - 2*z**k wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 2. Suppose -4*n + 5*n - 4*k = 2, 9 = -5*n + k. Let o(f) = 4*f**3 + 6. Calculate n*o(v) - 7*q(v).\nAnswer: -v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itcatcaaugaacuu. What is prob of sequence cig?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6236\/7 - 888. Find the common denominator of p and 34\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let c(p) = 9*p + 2. Let g(l) = 0 + 2 + 4*l - 1. Calculate n*c(r) + 5*g(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 342?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 9, -13\/7, -0.4, -1\/21 in increasing order.\nAnswer: -28, -13\/7, -0.4, -1\/21, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*o + 150, -3*k + 3*o + 180 = -0*o. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33175399*m**3 - 24089265 with respect to m.\nAnswer: -99526197*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2022 - 2021.7. Which is the nearest to -1\/4? (a) h (b) -0.05 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 8*z - 9. Let c be b(7). Let u be c\/(2\/(-6) - -1). Let a = u + 16. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27056518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (27 + 52) - (5 + (-5 - (-3 - -4))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -118\/5. Suppose -2*l = 3*h - 23, -3*l - 4*h = -2*h - 22. What is the closest to j in l, 3, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21102 and 5275500.\nAnswer: 5275500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.2, -0.4, -79\/5?\nAnswer: -79\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-2)*k)*k*k**(-3\/4)*k**(-5)*k**(-5) assuming k is positive.\nAnswer: k**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 41*n**2 - 110*n - 25.\nAnswer: -(n + 5)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -12. Let q = b + -10. What is the units digit of ((-8)\/16)\/(q\/136)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p + 4*p**2 + 0*p**2 - 22 + 20 + 4*p - 13*p**3. Let w be y(3). List the prime factors of 1\/(2\/w*-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 3. Let g(a) = -2*a**3 + 6*a**2 - 2*a - 8. Let n be g(4). Let z be 2\/8 + 540\/n. What is the tens digit of l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:00 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -b + 19, 4*l + 13 = -3*b - 20. What are the prime factors of 3\/(l*(-8)\/9888)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.6. Let u = 22.48 - 20.7. Let p = -1.88 + u. Sort 4, p, o, 0.1 in increasing order.\nAnswer: o, p, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5950 - 5980 = -10*c. Solve 4*g = -c*q + 7*q + 4, -4*q = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**4 + 13098*p**3 - 34826*p**2 + 18854*p - 2900 = 0. Calculate p.\nAnswer: 1\/3, 2, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let i(a) = -181108542*a**2. Determine w(i(k)).\nAnswer: 181108542*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/6 - 1447*b\/6 + 12155\/3 = 0. What is b?\nAnswer: 17, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 79976 divided by 3076?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/20 - x**5\/20 + x**4\/12 + x**3\/3 + 5*x**2. Let k = -28 - -30. List the prime factors of u(k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10306996.008 - 0.4\nAnswer: 10306995.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-6)\/24)\/(-1)*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9357445 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4193.5 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385995 = q + 129*o - 132*o, 5*o - 1544048 = -4*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -325883?\nAnswer: -14\/325883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 + 7*j**3 - 5*j**3 + (82 + 1958*j - 3905*j + 1955*j)*(0*j - j**2 + 0*j).\nAnswer: -j**3 - 82*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3207*l + 6 = -g + 3206*l, -5*g + l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-127 + 117 - ((-28 - -4 - 3) + 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-2\/7)\/l)\/l)**(6\/13))**43 assuming l is positive.\nAnswer: l**(-2322\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 22*f**3\/3 - f**2\/2 - 16. What is c(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 4*c**2 + 11*c + 40. Give a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 774 = -744 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-2)\/(-8) + (-525)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -59312.8, -5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 3*a + 15 - 6*a. Let p be c(-12). Calculate the highest common divisor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.36. Let r = -53 - -161\/3. Let p(t) = -2*t**2 - 43*t - 24. Let u be p(-21). What is the nearest to r in u, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/21 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 96 = -3*p, -2*p - 78 = 2*d - 7*p. Let c = d - -36. Solve -c*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 3*x + 2. Let f be ((-4)\/6)\/((-2)\/30). Let d be ((-15)\/f)\/(1\/2). What is b(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/24)\/(472\/(-22656)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5 - 2248*p**4 - 27266*p**3 + 2248*p**2 + 27264*p = 0?\nAnswer: -12, -1, 0, 1, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 271751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f. Let n(w) = -4*w**2 + 7*w + 7. Let m(g) = 2*g**2 - 4*g - 4. Let o(s) = -7*m(s) - 4*n(s). Give c(o(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-2)\/1 + 0). Let j be 17 + -2 + 4 + w. Suppose -3*n = -2*n - j. What is the smallest common multiple of 22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-79618)\/33 + -1)\/(-1) - (-1)\/3 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*h**2 + 1159*h - 934965.\nAnswer: -66*h + 1159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 27416 = 188824. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-789990)\/(-300) + (-3)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 4*v - 5. Let a(d) = 5*d**2 - 11*d + 14. Give 6*a(f) + 17*n(f).\nAnswer: -4*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448488 is divided by 4910?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 3*k - 4. What is n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*j**2 - 65*j**2 - 66*j**2 - 91*j**2.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 2 - 6*t - t in the form p + g*t and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlclmglmcl. Give prob of picking 1 m and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = -z, 2*z = 3*l - 5*l - 6. Solve g - 5*g - 8 = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1961100 by 392220.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 252 + 129 - 578*s)*(-s**2 - 2*s**2 + 4*s**2).\nAnswer: -578*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5808 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18852 divided by 1\nAnswer: -18852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 7*o**2\/2 + 5*o - 4. What is the tens digit of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 6. Let j(b) be the second derivative of 5*b**4\/12 - b**3\/2 + 7*b**2\/2 - b. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24802)\/9*774\/(-172) is divided by 6195.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127666300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*a**4 - 3*a + 7 wrt a?\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*k*w + 2*g**2*w**5 + 2*g**2*w - 9011*g*k*w**3 + 20*k*w**2 - k + 3 wrt w?\nAnswer: 120*g**2*w**2 - 54066*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let d(n) = -11397170*n + 2. Give o(d(g)).\nAnswer: -11397170*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -43. Solve 2*z + 2*z - a = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, r: 1, k: 2, m: 1, g: 6}. What is prob of picking 1 g and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75403886?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -2 (b) -3 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**4 + c**3 - 3. Let p(b) = 5*b**4 + b**3 - 4. Let a(x) = 4*l(x) - 3*p(x). Find z such that a(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:36 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22143.56mm?\nAnswer: 22143560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:18 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4648.34664 minutes?\nAnswer: 0.4611455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4503002 (base 8) to base 2.\nAnswer: 100101000011000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 6*j = 253 - 262, 3*b - 31 = 10*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15796.\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most as big as -1440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*k - 1931 + 455, 0 = -5*l + 16*k + 3576. What is the highest common divisor of 3016 and l?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:43 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6449078450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -5 + 36 - 2\/2. Calculate the highest common factor of w and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o + 11. Calculate the common denominator of o - 7\/(21\/45) and -127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Does 1617 divide 88403007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -42*g + 2313. Let f be y(55). Solve -19 = -6*u + 5*u + f*r, 5*r = u - 31 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1144)\/33)\/((-10)\/(-27)). Let c = m - -94. What is w in -2*w**2 + 4\/5*w + 6\/5*w**3 + 0 - c*w**5 + 2\/5*w**4 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*t - 20, -5 = 2*t + 1. Let j be (-106)\/56 - n\/16. Let g be (-15 - -18)\/(-6 + 3). Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10951994 to the power of 1\/2, to the nearest integer?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphhppphpp. Give prob of picking 3 p.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1765512 divided by -84072?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 11\/(-11) - -1*28?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times 1.1\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 999\/268 + 35\/67. Factor 3\/4*f**2 + u*f**3 - 2*f - 1 + 3\/4*f**5 + 13\/4*f**4.\nAnswer: (f + 1)**3*(f + 2)*(3*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 63. What is the highest common divisor of 99 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8134198 is divided by 24649.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and 59\/82?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/658 and 31\/3801.\nAnswer: 357294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**4 + 1 - 2*h**2 - 291*h + 291*h - 2*h**3 - h**4 as b + z*h + j*h**4 + l*h**2 + d*h**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:42 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1001303\/246354 + 20\/6483. Let t = 25\/6 + b. What is the nearest to 1 in -3, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 54. Let j = -41 + m. Let c be -4*((-5)\/(-20))\/j. Solve -o + 0 = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767.7 + -669.\nAnswer: -1436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.711829 rounded to two decimal places?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = -26*a + 164. Solve 0 = -2*k + 6, -a*k = -2*r - 6*k - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -31290?\nAnswer: -31290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*f - 6*f**3 - 23*f + 9*f - 96 + 8*f**2 + 2*f**3 + 32*f**2.\nAnswer: -4*(f - 8)*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 16*z = 3*a - 3060, -2040 = -2*a + 2*z. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (302 + -238)*33\/352\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 1970*t + 37319. Calculate p(-19).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24418623?\nAnswer: 3, 8139541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 104\/(-6)*-8*(637 + -619)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -124*a**2\/3 + 122624*a - 261008\/3 = 0. What is a?\nAnswer: 22\/31, 2966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5325 (base 8) to base 16\nAnswer: -ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 10*n - 5. Let o be y(9). Sort -1, o, -2 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2157828 and 25276651.\nAnswer: 25276651.2157828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 134\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 10428?\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12071 - -25977. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*o**3 + 35*o**5 + 155*o**3 + (-o + 0*o + 2*o)*(-2*o + 2*o + 2*o**4) + (o**3 - 2*o**3 - o**3)*(-2*o**2 + 2*o**2 + o**2) + 2*o**3 - 2*o**5 - 2*o**3.\nAnswer: 33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/3)*o*o**(-1\/4)\/o)**(2\/25) assuming o is positive.\nAnswer: o**(1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0 + 1 + 0 + (-14 - 8 + 7)*(2*p - 2*p - 2*p).\nAnswer: 31*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10607 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 14506 = -4*o, -3*y + 17*o - 6*o = -14492. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 - 40*d**3 - 194*d**2 + 40*d + 192 = 0.\nAnswer: -4, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(6\/7)*m*m)*m*m\/((m**12\/m)\/m)*m\/((m*m\/(m*m*(((m\/(m\/(m**1*m)))\/m)\/m)\/m)*m)\/m*m)*m\/(m\/m**(2\/7)))**(3\/11) assuming m is positive.\nAnswer: m**(-207\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*z = -873*z + 2583 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214.76 - -189.76. Suppose -m = -0 + 1. What is the biggest value in 2\/15, m, x, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397 - 586. Let s = d - -184. Let y = -0.2 - -1.2. What is the fourth biggest value in 4, 0.7, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -935*h**2. Let p(i) = 2*i. Give c(p(r)).\nAnswer: -3740*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/27 + 4461\/27?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178 * -3161\nAnswer: 562658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 1, n: 1, z: 1}. What is prob of sequence txxn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 14, g: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2280 + -20518\/9. Let f = 39 - 39.3. Which is the third biggest value? (a) -5 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/(-45) - -2) + (-178)\/801?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 20*m**4 - 138*m**3 - 284*m**2 + 1216*m + 1344 = 0 for m.\nAnswer: -14, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 109, 182, 273, 388, 533, 714, 937?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 1037. What are the prime factors of b?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*w**5\/23 - 6514*w**4\/23 - 7258*w**3\/23 - 726*w**2\/23 = 0. Calculate w.\nAnswer: -1, -1\/9, 0, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.92404 milligrams in tonnes?\nAnswer: 0.00000008792404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*n + 23, -3*a + 1 = n + 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/653 (b) -6\/17 (c) -214 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/4) + 7. Solve -11*o - c = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -403 * -390.\nAnswer: 157170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*b**3*o*t**3 - 5*b**3*t**3 + 12076*b**3 - 276*b**2*o*t**3 + 2*b**2*o + 52706*o*t**3 wrt b?\nAnswer: 1200*o*t**3 - 30*t**3 + 72456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7532, 7464, 7276, 6908, 6300, 5392?\n\"Answer: -10*a**3 + 2*a + 7540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -318*q + 3815. What is w(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 8*q**2 - q - 5. Let y be i(8). Let l(h) = -h**3 - 15*h**2 - 15. Let c be l(-15). Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76832, 76805, 76766, 76721, 76676, 76637, 76610, 76601?\nAnswer: 76616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -19, 17\/2447 in ascending order.\nAnswer: -19, -5\/2, 17\/2447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 70. Let x(g) = 3*g + 2. Suppose -39*h - 12348 = -11*h. Let s = h + 446. Let t(l) = 8*l + 6. Determine s*t(o) + u*x(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 2, h: 2, o: 5, j: 3}. Give prob of picking 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*((a - 3*a + 0*a)*(3 - 2 + 0) - 4*a + 2*a - 3*a).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**9\/756 - i**5\/10 + 13*i**4\/12 - 15*i. Let h(m) be the third derivative of f(m). What is the derivative of h(k) wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.8458 centuries to decades.\nAnswer: 5168.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 112 = -0*i. Suppose -91*f + 86*f = -2*c - 198, 0 = c - 1. Calculate the highest common divisor of f and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -2*s + 4*x, 5*x + 1 = -4*s. Let a be (-30 - (s - 0)) + 0. Let q = a - -51. Calculate the remainder when 59 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*i**2 + 93*i**2 + 142*i - 80*i.\nAnswer: 2*i**2 + 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 11. Let x be f(-11). Let i be (-4)\/22 - 27\/x. Let g be (-10)\/12 + i\/(-2). Put -2\/9, 0, g in decreasing order.\nAnswer: 0, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -227 and 323350602434.\nAnswer: 323350602207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 568379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.227 - 3.627. Which is the nearest to 1? (a) 2\/3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 8\/3. Let s = -8 + 5. Let t = 4.7 - 4.3. Which is the biggest value? (a) t (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -46*d - 15. Suppose 0*c - 3*c + 4*b = 17, -c - 3*b - 10 = 0. Is m(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*k - 0*l + 16, -5*k + l + 20 = 0. Suppose 1 = -h + 3. What is the second derivative of 2*u - k*u + 2*u - 2*u**h - u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 2, y: 1}. What is prob of sequence wy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9990.884 rounded to the nearest 10?\nAnswer: -9990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrys when four letters picked without replacement from srrbayb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 18*a**4\/7 + 123798*a**3 + 577718*a**2\/7 + 96286*a\/7 = 0?\nAnswer: -48143, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43.5645*-21\nAnswer: -914.8545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/9 and 58\/5487.\nAnswer: 16461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 924893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 199242.823 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-12)\/(-4 - -8)) + -1084. Let s = w - -1596. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immmimimii. What is prob of picking 1 i and 3 m?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.3 (b) -0.08 (c) -30 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2617 - -9812. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*o + 199*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 174 = 28*j. Let t(s) = 2263*s + 28. Let l be t(j). What is l rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/8 - 3885*p**2\/4 + 15537*p\/8 - 971 = 0. What is p?\nAnswer: 1, 7768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 + 13)*0\/1. Suppose 3*c = -2*c + 3*x + 188, 3*c + x - 124 = z. Let y = -37 + c. Solve y*p - 3 = -15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 2, -4, -2 in decreasing order.\nAnswer: 99, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 13)\/((-4)\/(-38)). Suppose -34 = 6*n + 32. Let c = n + f. Solve -3*p = -2*a + 8, 0 = c*a - 4*a + 5*p + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + -0.15. Which is the closest to -1? (a) 5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -68, -84, -92, -86, -60, -8?\n\"Answer: g**3 - 5*g**2 - 10*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1514\/(1\/50*5). Is r\/40 + (-1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o - 15. Let t be 1\/(-2)*(-18 - (-260)\/13). Determine h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*p + 3*c, 84*p - 48 = 86*p - 5*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 3, t: 1, l: 4, g: 6, i: 3}. Give prob of sequence hg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/23849 and 67\/265746?\nAnswer: 1860222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/20 and -109\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + -2)) + -5 + sqrt(1216))**2 - (sqrt(1216) + -5 + (sqrt(1216) + -4)**2).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -77\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2615 = 3*l + 5*f - 7073, l - 5*f = 1506. What are the prime factors of l?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/2 + 8*l**3 - 51*l**2\/2 + 18*l = 0.\nAnswer: 0, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (10 + (-12 - 8) - -12) + -18\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k + 2*h = 126*k - 202, 1058 = 5*k - 2*h. Calculate the remainder when k is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 9*z**2\/2 + 5. Let t(w) = -8 + 0*w + 19 - 11 + 6*w. Calculate t(x(k)).\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 134 = -51*f + 18*f - 776 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -0.05, -1\/9, -54\/5, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 89, 624, 2079, 4916, 9597, 16584, 26339?\n\"Answer: 77*t**3 - 2*t**2 + 2*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.627 * -0.136.\nAnswer: 0.085272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/(-15) + 9 - 2992\/(-120)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 124008073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/14 + ((-960)\/35)\/6. Let v(s) = s**3 + 3*s**2 - 2*s + 8. What is v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfd when three letters picked without replacement from {j: 7, c: 7, f: 2, d: 3}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 608 in 1\/4, -0.1, 0.1, -6, 2\/27?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -84279 (base 10) in base 13?\nAnswer: -2c490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(1*5\/(-220)). Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 247 - 6*a + 247)*(2 - 2 - a)*(82 + 1 + 1)*(0 + 0 - 3).\nAnswer: 756*a**3 - 1512*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 12*c - 718836636 = 0. Let b = c + 48400316. What is b rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 13314*f**2 - 22151166*f + 22164482 = 0. What is f?\nAnswer: -3329, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 6*c. Let q(y) = -14*y**2 + 17*y. Let j(x) = -17*l(x) - 6*q(x). Let a(z) = -83*z. Calculate j(a(g)).\nAnswer: -6889*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180125?\nAnswer: 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 859, 1623, 2293, 2869, 3351, 3739?\nAnswer: 4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*t + 66 - 62, -3*r - 3 = 6*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (3 - 5) - (16 - 20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*j + 378 - 228 = -666 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1632\/(-28) - (-6)\/21. Let l = a - -61. Solve 4 = -l*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 15*d - 10*d. Calculate the greatest common factor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.96506183 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-2 + 2 + 1)*(y + 1 - 1) + (151 + 148 + 29)*(-y - 3*y + 5*y) + 0*y + y + y.\nAnswer: 326*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and -1\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 447 = -47. Suppose 4*q - 129 = -3*l, 5*q = -2*l + 6*l + x. Calculate the greatest common factor of 54 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookk. What is prob of sequence kkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16955018*j**3\/9 - 1029946*j**2\/9 - 5018*j\/3 + 2.\nAnswer: -2*(97*j + 3)**2*(901*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffxxxxxffx. What is prob of sequence fff?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*n**2 - 12*n**3 + 16*n**3 + 5*n + n - 39*n**2 as z*n**2 + a*n**3 + x + w*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49620873?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y + y)*(-2*y + y + 29*y**2 - 28*y**2) + 73*y**2 + 3*y**3 - 73*y**2.\nAnswer: 5*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 7 - (1 - 1). Suppose 3*y + 432*h - 7 = 431*h, h = -4*y + 9. Solve y*g + 17 = d*r + 3*r, 3*g = -r + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17 = 3*s, 4*s - 4*a + a = -8. Let j be (-4)\/(-16)*0 - s*-17. Suppose -5*g + 373 = -j. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52900580*h**2*q**2 + 106*h*q**2 - 1318*h*q + 35*q wrt h.\nAnswer: -105801160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.09525 - 11.1. What is z rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -1220110?\nAnswer: -1212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 7880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6776*u**4*x - 2*u**3*x**3 + u*x**3 + 42*u - 50*x**3 wrt u?\nAnswer: 81312*u**2*x - 12*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Differentiate q*w**4 - w**4 + 9 - 6 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 17. Sort 16, 2, m, 5 in descending order.\nAnswer: 16, 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/24 - s**5\/30 - s**4\/12 + s**3\/2 - 34*s**2. Let f be b(1). Suppose 0 = 3*x + x - f. Solve -1 = -2*g + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 3, m: 5}. What is prob of sequence mkk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11813.5828 - 93645?\nAnswer: -81831.4172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + d + 6, 0 = -0*q + 3*q - 4*d - 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -j - n + 1, -5*n = 0. Let q = -9 - j. Let l be -2 + (-3 - q) + 3. Do 3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 452 = 5*c, -512 + 61 = -3*a + 4*c. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:07 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360 - 524 + 657)*(4*a + 3*a - 5*a).\nAnswer: -454*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2148 from 0.8.\nAnswer: -2147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.08.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 3*r. Let d(i) = -25*i + 4*i**3 + 33*i + 0*i**3. Calculate -3*d(f) - 8*k(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 1\/11, 9, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 6) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 2. Let d(n) = -n**2 - n. What is 5*d(f) - s(f)?\nAnswer: -5*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.0595, -9\/7.\nAnswer: -9\/7, 0.0595, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15912?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885781.\nAnswer: 13, 61, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44329804?\nAnswer: 2, 11082451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1237 + -1220. Solve v - 18 = -d*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32437720.\nAnswer: 2, 5, 7, 115849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Let y(l) = 5*l**2 + 4*l - 26. Let z(k) = 4*k**2 + 3*k - 26. Let t(r) = 3*y(r) - 4*z(r). Does 13 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 470931?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -133. Is -18 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7646406, 30585648, 68817722, 122342628, 191160366, 275270936?\n\"Answer: 7646416*a**2 - 6*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.421 - -0.521. Which is the closest to q? (a) 4 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30019742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12771 - 12770. Which is greater: j or -2\/13689?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65)*-1 - sqrt(65))*1)\/((sqrt(45) - sqrt(5))*-2) + ((4 + sqrt(13) + (0 + sqrt(1573) - sqrt(13)))*5)**2.\nAnswer: 8797*sqrt(13)\/4 + 39725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113276*c**3*t + 27*c**2*t - 36*c**2 + c*t + 11 wrt c?\nAnswer: 679656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 19915 - 19915.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 5*x**5 + 5*x**2 - 5*x**3 - 3*x**4 + x**4 - 5*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 3136.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547652989?\nAnswer: 13, 223, 188911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1675 - 3347\/2. Sort 10, k, 12 in descending order.\nAnswer: 12, 10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.152 (b) -386 (c) -18 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230091, 230092, 230095, 230100, 230107?\nAnswer: 230116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*z + 29248 - 30249 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 + 4. Let x be (0\/(-4))\/(0 + v). What is the nearest to x in 0.2, 0.4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (18 + 2 + -6 - (47 - (32 - 8)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-182)*1\/(-1). Suppose 0 = 2*x - 4*d - 0*d, 5*d - 7 = -x. Let c be (-3)\/(27*1\/x). What is the fourth smallest value in c, 1\/5, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1608, -4, 8, -2, -1, -8 in increasing order.\nAnswer: -8, -7, -4, -2, -1, 8, 1608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 17*q - 14. Let u be h(16). Let r(b) = 15*b**3 - 5*b**2 + 2*b + 4. Let l be r(u). Let t = l + 90. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1759*a + 5465. What is n(3)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 3*g + 7. Let b be r(-4). Let i(x) be the second derivative of 2*x + 1\/6*x**b + 1\/6*x**4 + 0 - 2*x**2. What is i(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l + d + 2, -2*l + 4*d = -8. Suppose -3*x - 3*r = 2*x - 3811, -x + 4*r + 753 = l. Suppose x + 548 = 7*j. What are the prime factors of j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-5 + sqrt(833)*-1 + sqrt(833) + -5))**2.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/12 - 7*c**3\/3 - 6*c**2 + 28*c. Let y be a(-12). Suppose y*z = 20*z - 1344. What is the units 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 6:58 AM and 3:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - 39*w + 20*w + 18*w - 11*w**2.\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 3*u - 5. Let m be y(5). Factor -30*f**3 - 3*f**4 + 35*f - m*f**2 - 80 - 2*f**4 + 112*f - 27*f.\nAnswer: -5*(f - 1)**2*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15549*p - 15546*p + 76 = 4*d, 2*d - 98 = 4*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e3 + -2?\nAnswer: -7e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 114*w - 1 + w**3 - 113*w + 0*w**3. Let r(h) = h**2 - 9. Let n(f) = -d(f) - r(f). Calculate n(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - -1.5. Let y = s - 13. Let w = -14 - y. Which is the biggest value? (a) 4\/9 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5715972 and 22863888?\nAnswer: 22863888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/8 + (-1 - 0). Let d(o) = -3*o + 2 - 6 - 5*o - o**z. What is the least common multiple of d(-5) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 370.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h - 1 - 8*h - 2*h. What is the units digit of a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-50))\/(4\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46930380 a multiple of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2*o**3 - 97*n**2 + 458*n*o**3 - 3*o**3 wrt n.\nAnswer: 4*o**3 - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nenn when four letters picked without replacement from nnnnegnnng.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 times -0.0423?\nAnswer: -7.5294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1094 rounded to three dps?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 795015*a**2 + 2. Let z(n) = -3*n**2. Calculate r(z(f)).\nAnswer: 7155135*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1239, 5, 1, -14 in descending order.\nAnswer: 5, 1, -14, -1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b**2. Let l(n) = -5*n**2 - 7*n. Determine l(r(p)).\nAnswer: -1125*p**4 - 105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1490710.\nAnswer: 11925680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 1. Let q be n(1). Let l = q + 10. Let a(o) = -l*o**2 + o**2 + 2*o**2. Let v(z) = -2*z. What is v(a(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*b**2 + 0 + (-4*b + 5 - 5)*(1 - 1 + 2)*(8*b - 4*b + 4*b).\nAnswer: -62*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5*d**8\/56 - d**4\/12 + 2*d + 3. Let w(a) be the first derivative of k(a). Find the third derivative of w(z) wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 972*y**3 - 291*y**2 + 62931*y wrt y?\nAnswer: 5832*y - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (11 - -58)) + 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57454 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-171))\/((10\/30)\/(3\/(-12)))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572391?\nAnswer: 41, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 420?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 16*i = -4. Is i <= 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65586 - 10735871?\nAnswer: -10670285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43245*h**3 - 201630975*h**2 + 234926612360*h + 235128286580.\nAnswer: 5*(h + 1)*(93*h - 216854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -15 + 26332*q**2 - 26331*q**2 + 15. Let p(c) = -1093*c**2. What is p(a(m))?\nAnswer: -1093*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/5)\/(s\/s**6))**28)**(-33\/4) assuming s is positive.\nAnswer: s**(-6468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13768846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734013880?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -915, -479, 3 in decreasing order.\nAnswer: 3, -479, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8968\/23 + 390. Let n be ((-1)\/2)\/(5 + -1). Which is the closest to -0.1? (a) -2\/3 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*q + 44, 2*q - 4*q = -n + 36. Let c be (q\/(-8))\/(30\/96*4). Solve 0 = -c*d + 3 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/(66\/44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*y - 3*y. Let u be 2\/y*(0 - 0). Suppose -q + 3 = -u. Solve 4*z = -2*h + q*z - 7, 4*h - 2*z + 18 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(99) + sqrt(11)) + sqrt(10))\/((sqrt(35)*1)\/sqrt(7)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.034 + 0.0062. What is f rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -475.\nAnswer: 2\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6\/(-18)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -56. Suppose d - 443 = -9*m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1. Let u(a) = 2*a**4 + 43*a**3 + 19*a**2 - 1. Let t(h) = -4*i(h) + u(h). Find the third derivative of t(n) wrt n.\nAnswer: 48*n + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1488 divided by -496.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.2706ug to nanograms.\nAnswer: 292270.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -25973*p + 805256. Give v(31).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623045 - -0.3?\nAnswer: 623045.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 128. Let v be t(19). Solve 0 = 4*q + 4, v*q = -5*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -3. Suppose -r + 2*r + 6 = 0. Let q(d) = -d**2 - 6*d - 4. Let y be q(r). Sort y, -3, b in descending order.\nAnswer: b, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmi when three letters picked without replacement from {m: 5, c: 1, k: 1, i: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 19 - 8. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173 - -176. Suppose 7 = j*w + 3*g + 1, 1 = g. Solve -l + 3 - w = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 3. Let s(n) be the first derivative of -n**3\/3 - 3*n**2\/2 + n - 1. Let o be (-8)\/10*(4 + 1). Let g be s(o). Calculate i(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 863975 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 3*n. Let t(p) = -3*p**2 - p**2 - p**2 - 13*p. Let x be (54\/108)\/((-1)\/18). Let g(v) = x*u(v) + 2*t(v). Solve g(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.696 and -112.\nAnswer: -109.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98) + (2*sqrt(98))**2)*6 - (-2 + 2*sqrt(72) - -2*sqrt(72)*1).\nAnswer: -11758 - 234*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19511, 19504, 19497, 19490, 19483?\nAnswer: 19476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2 + a - 1. Let t(w) = -7*w**2 + w - 1. Let j(o) = -3*t(o) + 2*x(o). Let z be j(1). Differentiate -8 - q**2 + z + 0*q**2 wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -13. Let c be (-1)\/v*9\/3. Let t(o) = 2*o + 2. What is t(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 5*z - 706. Give r(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 357 or 166522\/465?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 1\/12*l**4 + 16*l + 0 + 13\/20*l**5 + 3*l**2 - 2\/3*l**3. Is r(2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 827683?\nAnswer: 827666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -1, -13, -46, 518 in descending order.\nAnswer: 518, 1, -1, -4, -5, -13, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 7, x: 8}. Give prob of picking 1 x, 1 o, and 1 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j + 65*j = -70 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a)*(3 - 2 + 1)*(a**2 - 15*a + 15*a - 3).\nAnswer: 2*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846489011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -8)*(13 + -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 70*j + 348. Let z be w(6). What is the highest common factor of z and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -680 - -685. What is the nearest to -1 in w, -1\/5, 7\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 14 = -6. Let q(y) = -y + 1. Let p(a) = -5 - 4*a + 3 + 2*a + a. Let o(f) = p(f) + q(f). Give o(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffkmftvftttfrt. Give prob of sequence frfv.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18 = 2*h. Let d be h\/(-9) - (-22)\/6. Suppose x - 31 = -u, -3*x - 89 = -d*u - 8*x. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*p + 208, -1 + 6 = -p. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 19634655. Let h(f) = -12*f. Give h(c(l)).\nAnswer: 24*l**2 + 235615860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/7 - 10*s**2\/7 - 2*s\/7 + 10\/7 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 27, 47, 71, 99?\n\"Answer: 2*t**2 + 10*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110560598957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-10)\/((-60)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:28 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1891588198 + -429846.\nAnswer: -1892018044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 - 4*q - 4. Let a(s) = -s**3 - s - 1. Suppose v + 3*k = 3*v + 16, -12 = 2*v - 2*k. Calculate v*z(u) + 7*a(u).\nAnswer: -u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-31)*k\/(k*k*((k**(2\/27)*k)\/k)\/k))\/(k**34\/(k*(k*k\/(k**(-29)\/k))\/k)))**(-5\/4) assuming k is positive.\nAnswer: k**(4465\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 607 - 589. Let s be (1 + -4)*(-3 + 2). Differentiate c - m**3 + m**s - 3 - 3*m**3 wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1278 and 5458626.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 30. Suppose 47*m + 16 = 51*m. Let o be -2 - (-4 + (4 - m)). Solve o*g + c = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4 + 0 + 4 + -1). Let v(t) = -2*t - 4. Give v(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**3 + 10*l**2 - 16*l - 45. What is the thousands digit of t(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 5)*8\/(-4). Suppose 0 = p - x + 2. Let y(h) = h**3 + 6*h**2 - 11*h - 5. Calculate the remainder when y(-7) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 541 - 593.6. Let w = -53 - u. Which is the closest to 2? (a) w (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -1\/2, 1000, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 8*l**2 - 4*l + 24. Let c be (1\/(-2))\/(9\/(132 + -6)). Let x be o(c). Let j(h) = h**3 - 7*h**2 + 6*h + 6. Let n be j(6). Is x greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1397*p*s**2 - 95014*p - 5*s**2 wrt s.\nAnswer: 2794*p*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 68 = -5*c, 12 = -c + 3*c - 3*f. What is the remainder when 11\/(-55) - 111\/(-5) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/66 and 69\/655556?\nAnswer: 1966668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-5)\/3)\/((196\/14)\/14)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124120000 (base 5) to base 12.\nAnswer: 25721a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1512*u**2 + 1522*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4)**(1\/7)*(s*s\/(s\/s**(13\/3))*s)\/s*s*s\/(s*s**(-21)) assuming s is positive.\nAnswer: s**(586\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/36 - 56*k**5\/45 + 11*k**4\/9 - 2274*k**2. Let i(j) = 0. Calculate j.\nAnswer: 0, 2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39328489, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160.8 + -161.1. Let z(g) = 2*g + 5. Let i be z(-6). Let f be ((-10)\/6)\/(1\/3). Which is the second biggest value? (a) m (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)\/(20\/(-80))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11950 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 19235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 3. Let a be l(0). Let p be (144\/(-20))\/((-54)\/180) + -2 + -4. Solve p = a*t + 6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/45 or -208739?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 5*(-5 + (-32)\/(-5)). Let n be (4\/90)\/(3\/30). What is the third smallest value in -1, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 49*f - 46*f - 92961, -2*f + 2*r = -61976. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191010763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -100107, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1453*y + 1445*y + 4*u + 84 = 0, 5*u = -3*y - 53 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + j = 0, j = -7*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -675ef22 - -2?\nAnswer: -675ef20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1255497506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let g = 14 + -15. Let a(r) = -1. Let f(j) = j + 1. Let w be f(-2). What is g*p(d) + w*a(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -88.1. What is the closest to c in -9, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*k**6 + 4*k**2 - 376 + 563*k**6 - 5*k**2 - 133 wrt k?\nAnswer: 75120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) - -3*sqrt(160))\/sqrt(8))\/(1*sqrt(324) + sqrt(324)))**2.\nAnswer: 20\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (57\/19)\/((-18)\/(-4)*-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 minus -455.269482556?\nAnswer: 455.368482556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42472\/155 + -274. Let b be (-12)\/15 - (-216)\/120. Is w >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k - 21. Let y(h) = -18*h - 64. Let c(g) = -5*y(g) + 16*z(g). Is c(-5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21889380 rounded to the nearest one hundred thousand?\nAnswer: -21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -8 in descending order.\nAnswer: -1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35190?\nAnswer: 2, 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 57566?\nAnswer: 5755b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -2\/21, 2, 3\/2, 0.04, 0.15?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4*z + 5. Let o be x(4). Suppose 3*y + b = 2*y + 11, y - b = o. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 - -148.7. Let p = h - -1.3. Let m = -8 - -11. Which is the second smallest value? (a) m (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(1 - 4 + 1) + (-2 + 1 - 1)*(0 - 1 + 2))*(-3175*g - 5001*g + 2404*g).\nAnswer: -11544*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5364, 7, 2.\nAnswer: -5364, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 1\/12*s**4 + 4*s**2 + 0 - 26*s - 13\/6*s**3. What is the hundreds digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 246*p**2 + 2. Let c(g) = 766*g**2 - 3*g - 3. Let z(k) = -259*k**2 + k + 1. Let w(o) = c(o) + 3*z(o). Determine v(w(t)).\nAnswer: 29766*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 45631*k**2 - 15150*k**2 - 15160*k**2 - 15318*k**2.\nAnswer: 3*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15250789117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 9:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-15)\/3 - -3). Let o be (12 - c)\/((-1)\/(-1 + 2)). Let q be -4 - -7 - o\/2. Solve 25 = -r - q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21*m**2 - 47*m**2 + 25*m**2 - m - 6*m - 4*m - 7 + 3*m. Suppose 0*o + o = -6. Let s = o - -1. Calculate d(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2 - 3)*(0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, f: 7}. What is prob of picking 3 g?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + l + 25, -2*n = -0*l + 2*l - 6. Factor 21 - 96*i - 108*i - n + 2*i**2 + 230*i + 30.\nAnswer: 2*(i + 2)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/10 - 7*h**4\/12 + 7*h. What is the third derivative of r(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.110099?\nAnswer: 0.210099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -120601418191.\nAnswer: -120601418186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -3)*(875\/10 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*y - 0*w - w, 3*w = 0. Let x(j) = 11*j + 3. Let q be x(7). Let s = q - y. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3990 = 5*s. Let f = -114 + s. Suppose -11*i = -7*i - f. What is i rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7462)\/(-7))\/26)\/((-3)\/((-12)\/4))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -630649, -2522566, -5675757, -10090222, -15765961, -22702974, -30901261?\n\"Answer: -630637*j**2 - 6*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178122 divided by -7.\nAnswer: -25446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 3338566?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 945\/270*(330\/45 - 2). Determine k so that -2\/3*k**2 + 32\/3*k - f = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173\/36 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) 42 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 858 + -739. Let l(d) = 218*d + 6. Let k(j) = 8721*j + 238. Let p(h) = o*l(h) - 3*k(h). Let c(b) = 3*b. Give c(p(q)).\nAnswer: -663*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/13, -2\/3, 2\/17, 4 in increasing order.\nAnswer: -2\/3, 1\/13, 2\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7 = -5*u - 2, 0 = u - 4*h + 18. Let k = u + 3. Suppose -k*w + 2097 = -i, 2*w - w + 2*i = 415. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4188*r**2 + 637235*r**2 - 39265*r**2.\nAnswer: 593782*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4338.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/36 and -32\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -6*j + 9, -4*p + 8 = -4*j. Suppose -s + 5*s + 20 = -4*t, -6 = 2*t + s. Is p greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let c be (-1)\/m + (-175)\/(-10). Let j be (-14 - -16)\/((-2)\/(-36)). What is the greatest common factor of c and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(2 - 0) - 1. Suppose 2*x + o*c = c, c = 0. Solve 3*l = -3 - x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 14. Suppose l = 2*y - y. Let v = 21 + -5. Calculate the highest common factor of v and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87063 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13977 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22 - 268*g**2 - 10*g + g**3 + 145*g**2 + 140*g**2. Suppose -32 - 19 = 3*b. List the prime factors of c(b).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 368, 767, 1152, 1517, 1856, 2163?\n\"Answer: -z**3 - z**2 + 409*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-380)\/10830)\/((1\/(-3))\/((-8)\/80)).\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 s, and 1 p when four letters picked without replacement from asgppais?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0963, -1.2, 431 in increasing order.\nAnswer: -1.2, 0.0963, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from {f: 4, d: 1, r: 4, j: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 649, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000030933 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -4\/9, 0.5, 75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 2*r**2 + r. Let u be h(-1). Solve -4*g - 4 = -u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -631064, -1262242, -1893406, -2524550, -3155668, -3786754?\n\"Answer: u**3 + u**2 - 631188*u + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243*k**2 - 462.\nAnswer: 486*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -793*-0.5.\nAnswer: 396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - (-7249)\/(-33). What is the common denominator of 11\/16 and 8\/(-20) + (-1008)\/u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/((l**(-2\/57)\/l)\/l)*l)*l)\/l**40 assuming l is positive.\nAnswer: l**(-2339\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = 3*m - 5*o, 2*m - 5*o + 21 = 0. Solve 0 = -5*q + 2*l - 20, q + m*l = 5*q + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 7*t**2 - 6*t + 4. What is v(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -458*o**2 - 6*o. Let b(a) = -139*a + 2*a**2 + 46*a + 57*a + 36*a. Determine q(b(p)).\nAnswer: -1832*p**4 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 67*u + 56*u = 28*u + 7392 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. Suppose 7*h - 6 = a. Let u(c) = c. Let k(i) = i - 1. Determine h*k(v) + u(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -16*w - 24. Let p be a(0). Is (-251756)\/(-12) + 1 - 8\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220539\/(-14883) + (0 - (-3 - -1 - 11))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w - 7. Let c be (252\/(-72))\/(2\/(-4)). Determine o(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b + 4 = 0. Let o = b - 4. Is 172\/12 - (-2)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*l - 45. Let d = -25 - -25.1. Let y = -7.3 + 7. Which is the third biggest value? (a) l (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -508*u + 1437. Solve -4*k + 8 = 0, 0 = -u*o - 2*k - 35 + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - (-15 - -26) - (-2 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 177327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 64. Let c be d(0). Let z = -48 - c. Calculate the lowest common multiple of 12 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14.00000335. What is i rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 13 = u + 5*f, 9*f = -383*u + 380*u + 15 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -117\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3062 + 198. What is the common denominator of k\/426 - (-97 + 90) and 35\/12?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*c*i*w**3 + 53*c*i*w - 2*c*i + 4*c*w**3 - 1628*i*w**3 + i + w**2 - 121*w wrt w.\nAnswer: -270*c*i + 24*c - 9768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2059, -4348, -6635, -8920, -11203, -13484, -15763?\n\"Answer: q**2 - 2292*q + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 16. Let n(f) be the second derivative of -f**4\/12 + 17*f**2\/2 - 2*f. Suppose -4*c - i = 16, -c + 82 - 71 = 4*i. Let l be n(c). Determine a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5688 is divided by 1663?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 73 = -45. Solve 3*x + 2*b = -2, x - 5 = -m*b + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 5.1. Let q be (-3)\/5*6\/18. What is the closest to q in t, 1\/3, 8\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 296\/395 - 86219\/139830. Find the common denominator of 61\/118 and c.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-10)\/4))\/(((-1287)\/55)\/(837\/(-186))).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 1. Let t be 1785\/3502 - (21\/6 + -3). Is w greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 42*n**4 - 132*n**3 - 456*n**2 + 1824*n - 1536.\nAnswer: 3*(n - 2)**3*(n + 4)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {r: 2, q: 1, d: 4, e: 2, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbfcfho. What is prob of sequence fcfo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2 - 13\/(6 + 20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1035\/(-12))\/(-15) - 6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79244.\nAnswer: 2, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526445 is divided by 376?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-3)\/27)\/((-2)\/(-6)). Let o be (-11 - -4)*(i + 1). Let c = -1.1 - -0.6. Put c, o, -3 in increasing order.\nAnswer: o, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 0*y + 2*y)*(-2 + 2 + y) + 0*y - 12*y - 7*y - 4*y**2 + 2.\nAnswer: -6*y**2 - 19*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28)\/sqrt(4)) + (sqrt(11) - (sqrt(99) + -2 + sqrt(99))) + 3 - (-2*(3 + sqrt(704))**2 + -4).\nAnswer: 92*sqrt(11) + 1435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 15. Suppose 15 + 13 = l. Let a = l - j. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + 0.2. Let f = 3.03 + x. Let q be (-26)\/8 + (-1)\/(-4). Which is the closest to -0.1? (a) q (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9806 divided by -4903\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 - 69586*o**3 + 1043190*o**2 - 5214950*o + 8690750 = 0.\nAnswer: 5, 34763\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*t + 97 = 0, -7*a - 2*a + 12*a + 3*t + 75 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 18. Let w be l(6). Suppose -5*o - 7 = d - 22, w = -o - 2*d + 12. Let y = 67 - 59. Solve 2 - y = o*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 - 7*c - 10. Let n = -41 + 48. Let s be a(n). What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Find the second derivative of 5*v**2 + 9*v**4 - 5*v**x - 3*v**4 + 5*v wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 72 - 8 = 0. Calculate the remainder when 54 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n = -40*n + 3*r + 3, -2*n + 3*r + 23 = 0. Suppose -n*y + 690 = 2*b, 3*b = -2*y - 0*y + 1047. Calculate the remainder when b is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**4 + 0*k**4 - 8*k**4)*(4 - 4 + 1) - k**4 + 1 + 3*k**4 - 3*k**4 to q*k**3 + z + w*k**2 + a*k + t*k**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i + 13 - 5 + 18*i. Let l be h(2). What is the units digit of (14\/4)\/(l\/120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 2632.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7910.945 litres?\nAnswer: 7910945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15530325, -31060653, -46590979, -62121303, -77651625, -93181945, -108712263?\nAnswer: -124242579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**2 - 24*o - 39. Let v(m) = -5*m**2 - 8*m - 13. Let y(a) = -4*g(a) + 11*v(a). What is the tens digit of y(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477 - -2387\/5. What is the biggest value in -0.02, -5\/4, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-47)\/(-9) - (-6)\/(-27). Suppose 6*c + 2*x + 65 = 3*c, c - p*x - 1 = 0. List the prime factors of (-3)\/(12\/(-8)) - c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 320?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 1370, 3519, 6640, 10727, 15774, 21775?\nAnswer: 28724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6361, -6354, -6347, -6340?\n\"Answer: 7*w - 6368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1702 + 1807. Sort 0, -4, f, 3 in increasing order.\nAnswer: -4, 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17\/q**0 assuming q is positive.\nAnswer: q**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q**2 - 3*q)*(-4*q + 5*q + 5*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opo when three letters picked without replacement from {o: 4, p: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*sqrt(110)*1)\/(sqrt(1000) - ((sqrt(1000)*2 - sqrt(1000)) + sqrt(1000)))*-1)**2.\nAnswer: 18*sqrt(11)\/5 + 324\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-324*a**2 + 325*a**2 - 21 + 29)*(-30 - 56 + 26 - 16) as i*a + f + m*a**2 and give m.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 17. Let u(a) = 4*a - 77. Let x(r) = 5*b(r) + u(r). Suppose -8 = 4*j - 5*m, 4*m = -5*j + 2*m - 43. Let s(z) = -3*z - 7. Give j*s(d) - 6*x(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/81*12)\/((-2)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -94, -283, -548?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/120)\/((-13)\/260).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*b + 2*b = -60, 3*b = 0. Differentiate -7 + w**4 - 7*w**4 + x*w**4 + w**4 with respect to w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151022?\nAnswer: 2, 75511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5799 is divided by 142?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**2 - 146*c - 1554. Calculate the remainder when u(-12) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 + 18190*y + 20049 wrt y.\nAnswer: -3*y**2 + 18190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1036, -4493, -10254, -18319, -28688, -41361, -56338?\nAnswer: -73619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-256*u - 486*u + 86*u + (u + 2*u - u)*(3 - 3 + 5))*(4*u + 2*u - 4*u)*(-15 + 8 + 4) to j*u + h + v*u**2 and give v.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 - 1932*j**2 + 24645*j - 22716 = 0. Calculate j.\nAnswer: 1, 12, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hji when three letters picked without replacement from {l: 1, i: 6, j: 4, w: 2, h: 2, o: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 10 (b) -2\/3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 237*y**2\/2 + 111*y + 218. Find the first derivative of q(z) wrt z.\nAnswer: 237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 4*i**3\/3 + 852*i**2 + 1038. Solve a(n) = 0 for n.\nAnswer: -426, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 668503.\nAnswer: 668503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 + 4*k + 23. Let i be f(-5). Let x be i\/12 + 1 + 4\/(-12). Solve -x = -2*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1 + 5. Solve -3*d = -m - d + l, -m + 9 = -5*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6 + (-23)\/345)\/1. What is the second smallest value in g, -6, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, 0, -1186.\nAnswer: -1186, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, s: 2, w: 1}. Give prob of picking 1 y and 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 38 + 168 = 4*p, -4*m + 288 = 2*p. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and -344265?\nAnswer: 130820.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -231 + 231 + (17 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 + 11*d**3 - 5*d**3 + (2*d**2 + d - d)*(9*d - 5 + 5)*(8 - 8 - 1)*(0 - 2 + 5).\nAnswer: -45*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 3*z**2 + 11*z**2 + z**3 - z**3 - 4*z**3 + 6*z**3 + (-2*z**3 + 5*z**3 - 2*z**3)*(1 + 1 + 0).\nAnswer: 4*z**3 + 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i + 1. Let h(f) = -5*f - 5*f**3 + 0*f**3 - 6 + 18*f**4 - 19*f**4. Let k(q) = -h(q) - 5*y(q). Differentiate k(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.6. Which is the third biggest value? (a) -1 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132993*o - 4*m + 83 = -132990*o, 5*m = -o + 3*o + 75 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9982 + 3*l**2 + 9982.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -4, -3, 2 in decreasing order.\nAnswer: 2, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**3*x**2 - 8*o**3*x + 23*o**3 + 127*o**2*x**2 + 25*x**2 wrt o?\nAnswer: -30*x**2 - 48*x + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242879391.\nAnswer: 23, 109, 1692413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*w - 6, 3*c = -5*w + 4*c + 12. Solve -w*m = -1 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*b = 26 - 15, 3*b = -3*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-588)*(-133)\/(-1995))\/(5\/(-8))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (1 + sqrt(2736)) - (sqrt(1900) + -1 - sqrt(19) - sqrt(19))**2.\nAnswer: -1218 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15442 times 603?\nAnswer: -9311526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 5*x + 4*f = 10, 2*x - 8 = -r*x + 2*f. Suppose -3*i + 8 = -x*i. Solve -4*u + 0*q = -2*q - i, 3*q = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898874 is divided by 735.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -306\/11, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34995*g + 35467*g - 11328 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -129 + 178 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 9 = 9*s. List the prime factors of ((1528\/2)\/(-4))\/s.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 5*l - 24420000. What is l rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 23 = u, 3 = 3*u + 2*w + 52. Let f(d) = 24*d + 309. Let x be f(u). Sort -5, -7, 0, x.\nAnswer: -7, -5, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = 3*m - 383. Suppose -5*j + 2*t = -1848, -m*j - 1476 = -17*j + 4*t. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249475861\/2552 - -97757. Find the common denominator of z and -1\/1595.\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36, 19, 2\/3, -2\/3, 2\/41, -5, -2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 52*q + 4. Determine i(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10409373.99979 + 10409322. Let l = 59 - 7. Let p = g + l. What is p rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5264?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116812)\/(-232)*-3*16\/(-228).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2\/4 + 66*z + 1452 = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1 + 1 + r + 2*r. Let a(f) = -77 + 151 - 71 + 4*f. Determine 4*a(s) - 6*w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4292838 and 550?\nAnswer: 107320950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 = 0, -243*b + 240*b = 3*g - 27 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92.04 in 0.1, 5, -0.1, -0.04, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2 - 2)*(-17 + 10 - 18)*(-2*r + 2*r - 5*r)*(2 - 4 - 1).\nAnswer: -375*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-8))\/(2\/(-12)). Suppose -5*g = -2*n - 12, n + 3*g + a = 25. Solve 35 = -3*z + n*p, 5*p - 2 - 3 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, -7, -1\/49, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 2*k**2. Let q(j) = 2*j + 22. Let g be q(-10). Let m = 2 - -28. Calculate the remainder when m is divided by x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 23. Let g(h) = -6*h + 56. Let q be g(9). Suppose 0 = -q*m - 0*f - 3*f - 8, -5*f = 10. Sort m, k, 3, 0.4 in increasing order.\nAnswer: m, 0.4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 3, e: 4, k: 2, c: 1, i: 2}. Give prob of picking 1 j and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppii when four letters picked without replacement from {p: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185592 is divided by 99.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 205772356 divided by 51443089\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(-2 - 8*g - 5*g + 63*g + (2 + 2 - 3)*(0*g - 3*g + 4*g) + 2 - 2 + g + 2*g + g - 2*g).\nAnswer: 53*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 351, 346, 339, 330?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/10))\/u)**(-3\/5)\/(u**(-3\/10)*u*u*u*u**21*u*u*u))**11 assuming u is positive.\nAnswer: u**(-7359\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/3 + 290*p + 869\/3 = 0 for p.\nAnswer: -869, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let c be (3 + (-96)\/28)*7\/(-2). Sort c, o, 0.3 in decreasing order.\nAnswer: o, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -49. Let r = -36 + n. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 1*5\/(-5 + 0). Sort 8, c, 4, -5 in descending order.\nAnswer: 8, 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 53 + 2. Which is smaller: b or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1*(44\/(-72))\/11.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 5*c + 5*o, -3*c + 5*c + o + 54 = 0. Let t = c - -25. Does 16 divide -68*(-1)\/(1 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*c - 1056, -3*c = -2*c - 3*u - 209. Is 53 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2151876.\nAnswer: 2, 3, 103, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4 - -3) + -1. Suppose -5*r + 35 = -4*a, 3*r + 5*a = z - 18. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:48 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/5 + 18*r**2\/5 + 29*r\/5 - 48\/5 = 0.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1863 - 1556. Calculate the remainder when a is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdcbbhhbbghdbbdd. Give prob of sequence bch.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + ((2 + sqrt(2))*2 + 3 + sqrt(6)\/sqrt(27)*3)*-2)**2.\nAnswer: 120*sqrt(2) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 2)*(v - 3 + 3) + 77*v - 2*v + 24*v)*(2 + 0 - 1)*(-4 + 5 - 2)*(1 - 3 + 1) as g + l*v and give l.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l. Let r(t) = -t**2 + 10*t. Let n(u) = -7*r(u) + 6*x(u). Find the second derivative of n(j) wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 - 4*q**2 + 2*q**2)*(2516 + 904 - 1932) as l*q**2 + s*q + m and give l.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20445 and 4524?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - 162*q - 23. Give i(23).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/198)\/(5\/(-12))*(63\/9)\/(-21).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1314 divided by -5\nAnswer: 1314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57735944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, s: 2, a: 2, g: 5, q: 2}. Give prob of picking 1 g and 1 k.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1 + 8 - (-1006 + 13) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*x = -90 + 9, 47 = 3*i - 5*x. What is the thousands digit of (8 - 2) + 24408\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-95)\/4 - 7\/28. Let c be r\/((-3)\/(268 + 2)). Let z be (-49 + -1)\/((-3)\/c). Round z to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38735)\/732)\/(-127) - ((-33826)\/(-24))\/13.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73631 = 1169*m - 13132 - 5588 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37d1 (base 15) to base 7\nAnswer: -46453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/4763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 227 = 237 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w + 3*q - 3 = 0, 4*w + 2*q = 8. Suppose p - 4*c - 2 + 6 = 0, 0 = -w*p - c + 14. Solve 0*v = -p*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 0.5 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/(-14))\/(70\/185710) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + w - 6. Let d(q) = 6*q**2 + q - 5. Let f(k) = 8*k - 19. Let j be f(3). What is j*v(h) - 6*d(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -303 (c) -0.2 (d) 1\/2978 (e) 1\/3 (f) 0.2 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82502 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -19*u - 2*u + 4 + 9*u - 56*u + 11*u**2. Find the common denominator of -107\/34 and t(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by -26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + 2*sqrt(250) + sqrt(250))\/(sqrt(15)\/sqrt(48) + sqrt(5)))**2 + 5*-5*1*sqrt(10)\/sqrt(5).\nAnswer: -25*sqrt(2) + 8192\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0943482 + -802.4413482. Let l = 803 + p. What is l rounded to two decimal places?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 3*d + 8*d - 99*d**2.\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**1*(i\/((i*i*i\/i**(-10\/3)*i)\/i))\/((i*i\/i**9)\/i) assuming i is positive.\nAnswer: i**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.685443 + -4.314247. Let k = -31 - f. What is k rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*k - 86 = k, 36 = 3*x - 4*k. Suppose 4*f - 4 - 12 = 0, -5*f = -2*c + x. Find the common denominator of c and 10\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 4. Let k be h(-2). Let x = 105 - 83. Calculate the least common multiple of 15 and (x - -1) + (k - 10).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237440 divided by -265\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 + y**2\/2 + 3*y - 1. Suppose -3*f - 22 = 2*a, 0 = -2*a + 4*f - f + 2. Is b(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32110202231 (base 4) to base 5\nAnswer: 1430113112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430670 >= 2430670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 103927 = -3344. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477776098 rounded to five dps?\nAnswer: -0.04778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) -2 (c) 3\/8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/4))**(-44)\/(x**(-1\/3)\/((x**(2\/37)\/x)\/x))*((x\/(x\/x**13)*x)\/(x*x\/x**(-1\/3)))**(-46\/3) assuming x is positive.\nAnswer: x**(-93074\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:06 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/5))**(-3\/19))**(10\/9))**(3\/13) assuming a is positive.\nAnswer: a**(-8\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4357 + -0.3. Let z = 19.3 + -19.443. Let d = y + z. What is d rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -312, 470, 1 in decreasing order.\nAnswer: 470, 1, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805 and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49434 and 35096.\nAnswer: 8107176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40475.2 and -0.02.\nAnswer: -809.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 120 + 16. Let v = 14 - s. Which is greater: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123282 is divided by 7462?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(220) - (sqrt(220) + (sqrt(220) - 2*(sqrt(220) - -2*sqrt(220)))))\/(sqrt(20)\/sqrt(4)*3 - sqrt(5)) + 5).\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480592115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000282319678 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*b*m + 586611*b + 1319*m wrt m.\nAnswer: -97*b + 1319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 - 659 = -465*h + 3006 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 + 123*y**2 - 70*y - 10330. Give m(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 - 5*p + 3. Let s be i(4). Suppose -3*t - 1 + 7 = -3*l, -l = 2*t - 10. Sort -4, t, s in decreasing order.\nAnswer: t, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 - 172. Suppose -2*q + 4 = 5*y, -18*y = -d*y. Calculate the lowest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -26*d**3 - 56*d**2 - 34*d - 4 = 0.\nAnswer: -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from mqmgm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let s = 143 - 139. Which is the nearest to 1? (a) s (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 23, -1712 in ascending order.\nAnswer: -1712, -3, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 332 + t**2 - 7*t**3 + 330 + 4*t**3. Let w(a) = a**3 - a + 1. Calculate 4*w(o) + 2*z(o).\nAnswer: -2*o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 64*u - 392\/3.\nAnswer: 2*(u - 2)*(u + 98)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 29 (b) 2\/25 (c) 112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 + 243*h**3 + 313 with respect to h.\nAnswer: 4*h**3 + 729*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9*-5.\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-18))\/(5*(-14)\/35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(4 - 4 - w) + (-3 + 3 - 4)*(0*w - 4*w + 2*w) + w + 2*w - w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 83\/6*v**3 - 14\/3*v**4 + 0*v**5 + 0*v**2 + 0 - 164*v + 1\/15*v**6. What is the second derivative of a(z) wrt z?\nAnswer: 24*z**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 0*k**2 + 7 - k**3 + k**2 - 2 + 5*k. Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/1)\/(-2)*(-7)\/((-224)\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 0.05 (b) 1\/6 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2. Let w = 5 - 5. Let n(d) = d**3 - 1. Let o be n(w). Give h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180 - -303. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 879, 1756, 2633, 3510?\n\"Answer: 877*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 147856*b + 104 = 147860*b, 17*m - 4*b = 424 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1758*n**2 - 5*n**3 + 1758*n**2 + 3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19448009 != -19448009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527.941148 rounded to one dp?\nAnswer: 2527.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 2. Let f = v - 3. Is 3 - -1*(81 + f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/560 + y**7\/140 + y**6\/120 - 2*y**3\/3 + 5*y**2. Let d(x) be the first derivative of p(x). Factor d(h).\nAnswer: 3*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 66 = 57*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqppbbblblpbbpbplbb. What is prob of sequence bqpb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.135 and -1625.32.\nAnswer: 219.4182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (-6*(-1 + sqrt(76))*5*-2)**2 + -4.\nAnswer: -14400*sqrt(19) + 277201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -350, -458, -630, -866, -1166?\n\"Answer: -32*i**2 - 12*i - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*d - 1 = 7, -2*d = -8. Find the first derivative of -g - z - 1 + 0 wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 111, 113, 115?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 - 272*d + 3837. Let r be u(20). Suppose 0*f + 4*f = 4*v - 12, -3*f - 5*v = 41. Sort r, -5, f, 0 in decreasing order.\nAnswer: 0, r, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*t + 19, 2*t = -2*y + 4*y + 10. Solve -t*r + 58 = 42 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -223, -247, -271, -295?\n\"Answer: -24*p - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + -6*2*sqrt(128)*1)**2 + 5).\nAnswer: -768*sqrt(2) + 36882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7000, 0, 4, 5, 3, -5 in decreasing order.\nAnswer: 7000, 5, 4, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 5*p)*(2*p - 2 + 2)*(-7 + 2 + 3)*(-530 - 457 + 98).\nAnswer: -3556*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a - 1. Let d be k(-1). Suppose -x + 30 = -d*x. Let p = x + 11. Solve -6 = 4*c + p*o, 2*o + 4 = -3*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3694, 7398, 11102, 14812, 18534, 22274, 26038, 29832?\nAnswer: 33662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22746, -22753, -22766, -22785, -22810, -22841, -22878?\nAnswer: -22921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76568989031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 6*b)*(3*b**2 - 3*b**2 - 2*b**2) + 3*b**3 - 4*b**3 + 0*b**3 + 0*b**3 + 0*b**3 - b**3 - b**3 + 2*b**2 - 2*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1657, 4061, 8067, 13675?\n\"Answer: 801*z**2 + z + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l. Let h(z) = -z**2 + 47*z. Let f(q) = 4*h(q) - 11*j(q). Find d, given that f(d) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - -2) + 0 + 0. Let l be ((-21)\/h)\/((-2)\/(-8)). Let n = -3 - l. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 0 - 2 - 17*j. Let w(k) = 81*k + 11. Let n = 387951 - 387953. What is n*w(p) - 11*r(p)?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56207 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 4\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -1527, -3505, -6381, -10215, -15067, -20997?\nAnswer: -28065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -9*h**4 + 7*h**3 + 20*h**2 + 4*h = 0?\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1494982 and 125226?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324 a factor of 1329317475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 906*s + 172. Is x(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*x**2 - 2 + (3*x + x - 2*x)*(-x + 3*x + 0*x) - 2*x**2 + 4*x**2 - 72*x**2 - x**2 + 1 - 1.\nAnswer: -65*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - 0.12. Let r = -0.08 + c. What is the nearest to -1 in r, -0.3, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.668 - 0.032. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -7. Let i(t) = t**2 - 16*t - 4. Let d be i(n). Do -1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/11 and -20\/38273?\nAnswer: 421003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.278 + -0.405. Let p = 0.097 + y. Let g be (-6)\/2 - (-25)\/9. Which is the third biggest value? (a) -4 (b) p (c) 0.4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2533332*j - 4. Let c be t(-3). What is c rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -152, -2 in increasing order.\nAnswer: -152, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -85, -105, -133, -169?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*8\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k. Let r(t) be the first derivative of -4*t**3\/3 + 31. Determine i(r(c)).\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*s = 1983*s - 348928 for s.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15198439 and 1855?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = -23. Suppose -k = -4*s - 3*b, 1 = s + b - 5. Let c = 3 - s. Solve -5 = 3*f + q, q + c = -0*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 2. Let h be ((-15)\/(-6) + -1)*2. Let l(o) = -3 + o + h - 5. Let u(p) = -2*l(p) + 5*r(p). Let j(z) = -z. Calculate u(j(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200 is divided by 364?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 8*x**2 - 11*x**2 + 20*x**2. Suppose 25 = 5*p - 30. What is the units digit of g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 - 12*i - 32. Give o(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 1 + 150*v - 5 - 219*v - 197*v to the form m*v + f and give m.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/6*r**4 + 0 - 38\/3*r**3 + 361*r**2 - 89*r. Factor d(b).\nAnswer: 2*(b - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z + 4. Let w be m(6). Let l = -24 - w. Let s = l - 9. 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 (-9 + -1)*4\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12939 + -0.0959721845.\nAnswer: 12938.9040278155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let r(q) = 1217*q - 91651. Calculate r(w(a)).\nAnswer: 2434*a - 91651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2. Let y(p) = -204*p - 1. Give t(y(s)).\nAnswer: -208080*s**2 - 2040*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/5 - 14*n**3\/5 + 24*n**2\/5 + 56*n\/5 - 64\/5 = 0. What is n?\nAnswer: -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -917 (c) -0.28 (d) 58 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10\/9))**(-11) assuming y is positive.\nAnswer: y**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21*v**2 + 8*v - 192. Let r(m) = -26*m**2 + 10*m - 191. Determine 8*r(p) - 10*x(p).\nAnswer: 2*p**2 + 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + n**2. Suppose -4*p - 5*g + g - 8 = 0, 0 = 5*g + 15. Let s be i(p). Solve 3*m = 3*q - 6, s*q - q - 3*m = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(1\/10)\/p)\/p)**(-4\/9) assuming p is positive.\nAnswer: p**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(704))*-6*-4 - (((1 + (sqrt(704) - -1*sqrt(704)) - sqrt(704)) + sqrt(704))*-5)**2) + -5.\nAnswer: -70430 - 608*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 15) to base 5.\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.933 + 0.033. Let q = f - -4. Let r = -1834\/255 - -120\/17. Which is the second smallest value? (a) -2\/17 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let p = m + -1. Let z = -2.9 - p. What is the nearest to 2\/7 in z, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725 a factor of 1176905425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 40, 146, 364, 730?\n\"Answer: 6*d**3 + 2*d**2 - 18*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 63 = 30. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3*o + 17159 - 17385, -6*a = -5*o + 434 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*w - 2616*a**3 - 339*a*w + 2*a wrt w.\nAnswer: -a**3 - 339*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 104, 368, 884, 1736, 3008?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (0 + 1)\/(-1). Suppose 11*z - 16 - 370 = -166. Suppose -3*d = y*x - 0 - 3, -z = 2*d - 4*x. What is the closest to 7 in d, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320132 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:57 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d + 7*d + 4 - 5 + 7*d - 4*d**4 as j + c*d**2 + n*d**4 + a*d + w*d**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 - 2*a**4\/3 + a**3\/6 + 2*a**2 - 8*a. Suppose 2*m = 18 - 2. Does 12 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-3)\/j))\/((j**(1\/3)\/j)\/j)*j**(-15)\/j**(-13))**(-6\/19) assuming j is positive.\nAnswer: j**(-28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000325953404 rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*156\/60*(-18)\/1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.62079 minutes in weeks?\nAnswer: 0.0950020625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-128)\/256). Let c(n) = n**2 - 2*n - 5. Let j be c(4). Suppose 0 = -4*w + 3*l - 11, 5*w + 3*l + j = -4. Sort 2, k, w in descending order.\nAnswer: 2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3 + 8 + g + 4 + g**3. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjwwjydwydjajjjwwy. Give prob of sequence ajyd.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:38 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*f**3*j**3 - 2*f**3*j**2 - 2*f**2*j**2 + 13*f*j wrt j.\nAnswer: -282*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-13)\/x)\/x**(2\/3))\/(x\/(x*x**(4\/9)*x)*x\/(x**(-10\/11)*x)))**(2\/67) assuming x is positive.\nAnswer: x**(-2798\/6633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.44 + -0.04. Let x = 1 - 2. Let l = -17 - -15. What is the closest to x in y, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 l when three letters picked without replacement from {x: 2, y: 6, w: 1, r: 1, o: 2, l: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95.6 - -112.6. What is the second biggest value in -0.5, f, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 1699*h**2 + 564*h**2 + 579*h**2 + 579*h**2.\nAnswer: 23*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 58*g**2\/5 - 258*g\/5 + 198\/5.\nAnswer: 2*(g - 3)*(g - 1)*(g + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1619, -3236, -4851, -6464, -8075, -9684, -11291?\nAnswer: -12896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -367 - -374. Solve -2*g - q = -i, -2*g - 5*i + 8 = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 768*o**3 + 50664*o**2 - 193536*o + 190512 = 0 for o.\nAnswer: 2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 15*v**2 + 2. Let q be d(15). Suppose q = 3*b - k, -4*b - 3*k = 2*k - 28. Solve -3*h = -b*w - 1 - 14, -3*h = -5*w - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60599 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58468?\nAnswer: 2, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 - t - 2*t + 3*t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*o**5 + 18256*o**4 + 2152020*o**3 + 51894000*o**2 = 0. What is o?\nAnswer: -1395, -93, -100\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085989 rounded to 4 dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose i = -4*j + 7, s*j - 4*j = 10. Let d be (i + -2)\/((-1)\/4). Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 54 = -3*j + 8, 3*h + 1 = 2*j. What is the smallest common multiple of (42\/4)\/(j\/294*-7) and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25612 (base 7) to base 11.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*6*(-174)\/(667\/(-23))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 48. Let z be k(28). Let i(w) = -6*w - 48. Let u be i(z). Solve -3*h - 11 + 14 = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(l**2 - l**3 - l**2) + (0 - 2 + 1)*(5*l + 3*l**3 - 5*l) + 4*l**3 - 92*l**3 - 347*l**3.\nAnswer: -436*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 2. Let h(c) = -13*c - 5. Determine -3*h(y) + 6*q(y).\nAnswer: 27*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -20 + (-1 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 1044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + y - 1. What is x(6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 29, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnucju. Give prob of picking 1 n and 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 2. Let i be 8\/6*(-3 - 0). Let h be (i + 2)*-1 + (-1 - -19). Let t be 330\/25 - 4\/h. Let d(q) = 2*q - 1. Give t*d(f) - 6*n(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or 50001?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6086092.\nAnswer: 2, 61, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/3 + d**2\/2 + 4*d - 2. Let y be v(0). Solve 3*q - t - 14 = 4, -5*t = y*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/139141061?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 249738*q**2 + 22949352*q + 95793408.\nAnswer: 3*(q - 83154)*(q - 96)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14b + 264?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089798392 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -604\nAnswer: 1\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a century in months?\nAnswer: 28400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(1 - 1 - 2)*(-519 + g**3 - 103 + 5*g**2 - 9*g**4 + 626).\nAnswer: 18*g**4 - 2*g**3 - 10*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/9 - 2404*i**3\/9 - 1226*i**2\/9 + 1464076*i\/9 + 1278928 = 0. What is i?\nAnswer: -19, -9, 28, 1202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.411 + 36.6. Let t = 0.031 - s. Let k = -0.05 + t. Round k to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19419, -0.3 in increasing order.\nAnswer: -0.3, 3, 19419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11974292\/35 - -342162. Which is greater: n or 38?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j = 50. Is (j\/6)\/((-1)\/33) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585, 618, 651, 684?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 - 12*v**3 + 3*v**2 + 19*v**3)*(-2*v + 1 - 1 + (-64398 + 387*v + 64398)*(0 - 5 + 4)).\nAnswer: -778*v**4 - 1167*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1\/4, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692872 divided by -1?\nAnswer: 1692872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.2. Let f = -50 + 351\/7. Which is the second biggest value? (a) f (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 85?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s - s + (-1 + 1 + s)*(-1 - 2 + 1))*(-3*s + 4*s + s - 2) as m*s**2 + j + x*s and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89357 by -1.\nAnswer: 89357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 808548854 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/8 - 11\/40. Let x be (((-18)\/57)\/(-2))\/((-6)\/4). What is the closest to -1 in x, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 + -8.13. What is the third smallest value in -4, w, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.018373 - 4.490973. What is a rounded to 2 decimal places?\nAnswer: -4.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*y = y + 13, 11 = -u - 5*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**2 + 0 + 0*w + 7\/3*w**3.\nAnswer: w**2*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26526 - 26520. Which is the biggest value? (a) 1\/4 (b) 1\/29 (c) 0 (d) l (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5759, 5749, 5739, 5729, 5719?\n\"Answer: -10*t + 5769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*m + 2*m**2 + 8*m)*(-4 + 2*m + 4) in the form a + c*m**2 + j*m + q*m**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801 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: Collect the terms in -126*x**3 + 33*x**3 + 42*x**3 + 43*x**3 + 6*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0392 - -0.5022. Let w = i - 1.22. What is w rounded to two decimal places?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -548\/5. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/427 (b) -0.5 (c) 3\/4 (d) 5 (e) 1\/3230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-186)\/(-80))\/(612\/85) and -61\/16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*o = -24, -4*k - o = o. Let c(r) = -11*r - 100. Let b be c(-9). Is k less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 7*p**2 - 7*p - 9. Determine s(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + 1.42. Let t = q - 1.3. Suppose 5*j = 4*j + 1. What is the closest to -2\/5 in 0.1, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-223275)\/(-59420))\/15 + (-2)\/8. Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m. Suppose -4*c + 3*c = 2. Let y be v(c). Suppose 2*t + y = 8. Put -3, 1, t in increasing order.\nAnswer: -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-11)*2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*m + 177*m + 144 = 0. Calculate the highest common factor of 516 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v + 8. Let g be y(6). Let t = g + 12. Suppose -4*m = -t*i + 10, i + 2*m - 13 = -4*i. Solve 4*z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-664)\/(-72) + (3 - 174\/54) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 12. Give o(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 55*j - 71. Let f be 3\/((66\/28)\/11). What is the hundreds digit of m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8723880 to the nearest integer?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11996 - 12000. What is the nearest to i in -2.91, 3, 0, 2?\nAnswer: -2.91","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 7) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3\/2*s**2 + 23\/21*s**3 - 2\/7*s - 138. Find z such that q(z) = 0.\nAnswer: -1, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1037133 and 1037138 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, c: 3, b: 3, y: 3, n: 3, h: 2}. Give prob of picking 2 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = z. Suppose -p - 21 = -3. Let q be (-87)\/(-12) - (z + p\/(-8)). Solve d + 3*d = 4*i + q, 4*i - 2*d = -10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 12*h**2 + 7*h + 8. Let a be 16\/6 - (-1)\/3. Suppose a = z + 14. Is 24 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 78, 189, 354, 579, 870, 1233?\n\"Answer: o**3 + 18*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27218775, 27218774, 27218773?\nAnswer: 27218772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (24 + 4 - 4)*1*203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.706119 and -0.101.\nAnswer: 1.605119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -578 - -152. Let i = -367 - o. Let r be 1224\/21 - (-4)\/(-14). Is i not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-3)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.927297 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ssshhhhhhsh.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71829, -143666, -215505, -287346, -359189, -431034?\nAnswer: -502881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422118689.\nAnswer: 422118689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 5)*(-1 + 4 + 1)*(-4*h + 2*h + h) to the form t + s*h and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 116485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 688685570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p. Let m be z(-1). Let x = 1 + m. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 17*s + 13. Determine w(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17571*m**2 - 2161230*m + 371. Determine f(-123).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5849 divided by 2\nAnswer: -5849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -63. Find the first derivative of 5*q - 16 - 21 - 5*q + m*q**4 wrt q.\nAnswer: 132*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 39*w**3 + w**2. Let c be m(1). What is the remainder when 30\/c - (-930)\/8 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70102, -138010, -205914, -273814, -341710, -409602?\nAnswer: -477490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m**2. Let s(z) = 4*z**2 + 660446*z. Give s(j(c)).\nAnswer: 324*c**4 - 5944014*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859564.8356 - -859809. Let f = 107.058 - g. Let y = 137 + f. Round y to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, -0.4, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 2\/3 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8137.\nAnswer: 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9696?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171496593 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 + 211466?\nAnswer: 211527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73364 is divided by 1588.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - 3*r**3 + 10*r - r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 8. Let i = -31 + 37. What is the greatest common divisor of p and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-6) + 2\/(-12). Suppose c = 3*q + 2*t - 268, 39 = -3*q - 3*t + 312. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 56 - 187. Suppose -2*x - 3*a = -g, x - 2*a = 2*x - 42. Calculate the remainder when x is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from iymifwflmili.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, s: 1, g: 9}. Give prob of picking 1 g, 2 y, and 1 s.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:00 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let r(c) = 9*c**2 + 3091*c. Determine n(r(f)).\nAnswer: 18*f**2 + 6182*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5766*g - 7031.\nAnswer: 5766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 2*c + 20, 4*c = 3*t + 34. Let a be (t\/6)\/((-1)\/9). Suppose a*k - 612 = 1008. Calculate the greatest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2910\/13 - 32530\/143. Find the common denominator of -89\/48 and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3768347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 12*b - 166*b + 42*b - 8580 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 15. Let g(v) = 30*v**2 - 6. Determine g(x(l)).\nAnswer: 120*l**2 + 1800*l + 6744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let m be ((-76)\/(-20))\/(11\/55). Let b(r) = -m*r - 19*r + 25*r. Give b(c(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1464928 (base 11) to base 13.\nAnswer: -69b651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k - 4*t - 11694 = 0, 2*t = 2*k - 4676. List the prime factors of k.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/11))\/(z\/(z\/z**19)))\/(z**32\/z)**(-3) assuming z is positive.\nAnswer: z**(827\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let a(i) = -3*i**2 + 2*i**2 - 3*i**2. Give a(o(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 15. What is the least common multiple of y(-6) and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312, -2475, -8348, -19785, -38640?\n\"Answer: -309*a**3 - a**2 + 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156265 divided by -31253.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 1 + 1)*(-3*h - h + 2*h)*(29*h**3 + 21*h**3 + 10*h**3).\nAnswer: 240*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 6, l: 1, f: 8, i: 1}. Give prob of picking 2 f, 1 o, and 1 j.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-1)\/3*(-8)\/(-10))\/(8012\/(-6009)). Factor -h*z**4 + 0*z + 93\/5*z**3 - 18*z**2 + 0.\nAnswer: -3*z**2*(z - 30)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 4.04. Let z = -9 - -9.02. Let v = -0.38 - z. Sort -2\/3, v, u in increasing order.\nAnswer: u, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = 0. Suppose -l - 8 = -18. Let h be 12\/l - (2 + y). Which is the nearest to 1\/2? (a) h (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127014250 a multiple of 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w + 10 = 64*w - 3*s, 5*w + 12 = -11*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:59 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8*p**2 + 6 + 22*p**3 - 2*p**3 = 0. What is p?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 2) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123649830 divided by 12364983?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61a4 - -9b?\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14\/3 (b) -1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 l when four letters picked without replacement from {l: 2, r: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -970.4 + 1007.4. Put -2, -1\/7, -4, 1\/3, i in increasing order.\nAnswer: -4, -2, -1\/7, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -0.1 (c) 0.14 (d) 2 (e) -2 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1827 (b) 10 (c) 1\/2 (d) 2\/9 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 252 = -52. Suppose -3*w + 74 = -h. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 145*b**2 - 2710*b + 495. Determine v(123).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -59964692\nAnswer: -179894076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:52 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-24 - -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13422220 (base 5) in base 11?\nAnswer: -95529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 6*z**3 + 0*z**3 + (2*z**2 + 0*z**2 + 0*z**2)*(-2*z + 0*z + 0*z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*g**4 + 138*g**4 + 99*g**4)*(9 - 5 + 3).\nAnswer: 1925*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/105 and (2948\/24)\/11 - -5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.25? (a) -0.4 (b) 96 (c) -1\/5 (d) 1\/7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*c - 1050, -706 = -351*g + 349*g + 4*c. Is g a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*a - 3*a. Let t = a - 10. Let m = t - 1. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110841984 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*t + 4, 3*u + 6 = 4*t - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 3*o, -o = 2*k - 9 + 28. Let d be k\/(-6)*(-10)\/4. Let n = d + 8. Solve 0 = l - n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 279*j**2 - 4*j - 6. Let i(l) = -556*l**2 + 8*l + 12. Let q(y) = 5*d(y) + 3*i(y). What is the second derivative of q(k) wrt k?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 0*v + 2*v + 58 = 3*v, -2*v + 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131564233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-888)\/(-740).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 20*s**3 + 224*s**2 - 6956*s - 1400 = 0.\nAnswer: -25, -1\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 2*o**3 + 0*o**3 + (6*o**3 - 4*o**3 - o**3)*(-2 - 1 + 1) + (2*o**3 + 2*o**3 + 4*o**3)*(-3 + 2 - 2) to w*o + a*o**3 + y + u*o**2 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8065*p + 3*q + 24 = 8070*p, -5*q = 3*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*d - 64*d - 3*c + 25, -3*d - 4*c - 23 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -9. Let w = 5.7 + s. What is the second biggest value in w, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*b - 2 = -10, -5*b = 4*o - 11. What is the units digit of (-20)\/o*(-136)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3735.379489 - 3756.3795. Let n = 6 - -15. Let r = n + v. What is r rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2982 + 3110. What is the nearest to h in 1, -0.08, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/4 + 2223875*l\/2 + 989124003125\/4.\nAnswer: 5*(l + 444775)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 7*c - 5*c - 35, -2*q = -4*c + 10. Let n(r) = r + 1. Let y be n(0). Sort y, 0, q in ascending order.\nAnswer: 0, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y = -29*y - 35*y + 21. Which is the closest to y? (a) -2 (b) -2\/77 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r - 13*r + (2 + r - 2)*(-4 + 3 + 2) + 4*r - 2*r - r + (-4*r + 5*r + r)*(-2 + 2 - 2) - 6*r - 3*r + 5*r - r + r - 2*r)*(3*r - 2*r - 3*r).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q - 30. Let a(j) = 4*j + 30. Let c(o) = 3*a(o) + 2*l(o). What is c(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599.937 + -981.716. Let m = -278 + -104. Let i = m - r. Round i to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*s - s = -53 + 44, -21*r + 3*s = -19*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**4\/4 + 8*s**3\/3 + 11*s + 95. Let g be f(8). Solve -4*h - 9 = g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 36617*g**2. Let a(z) = -3*z**2. Calculate l(a(c)).\nAnswer: 329553*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 + 256. Calculate the lowest common multiple of z and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 1*sqrt(11) - sqrt(11))**2 + ((sqrt(99) - (sqrt(99) + 1))**2 - sqrt(11) - sqrt(11)) + 1.\nAnswer: -2*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -132, 3, 4, -9 in descending order.\nAnswer: 4, 3, -1, -3, -9, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3005 - 990. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749343 less than -0.064?\nAnswer: -2749343.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**3 - 13\/12*b**4 - 11*b + 7\/30*b**6 + 0*b**5 + 0 + 0*b**2. Find the third derivative of w(r) wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*3*1\/6*7\/14. Solve 9*d - 3*d - 24 = m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 28*h + 15. Let r be z(14). Solve j = -4*j - r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*o - 2 = 3*w - 629*o, 0 = -17*w + 3*o + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/2 (c) -2 (d) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 2. Let l(q) be the first derivative of -q**2 + 5*q + 19. Let b(h) = 2*l(h) - 5*w(h). Let x(a) = -3*a - 1. What is b(x(d))?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 39 = -3*s, -5*g - 45 + 180 = 3*s. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 a, and 2 w when four letters picked without replacement from {n: 4, a: 2, k: 3, w: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 31*u + 16*u - 186*u + 20*u.\nAnswer: -129*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 44*o + 77. Let g(r) = 21*r + 36. What is -5*g(s) + 2*j(s)?\nAnswer: -17*s - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2954291 at least -2954292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14813321 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -2\/15 (c) 42 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -0.00486?\nAnswer: 3.00486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8711, -69411, -234189, -555089, -1084155, -1873431?\nAnswer: -2974961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*v = -1910, -3*y - 3*v + 587 = -580. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43427415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, -3, -0.08, -1\/985, -6\/7.\nAnswer: -3, -6\/7, -0.08, -1\/985, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 21597*d**2 + 7966*d - 5. Let b(x) = 10798*x**2 + 3979*x - 2. Let v(h) = -5*b(h) + 2*o(h). What is the second derivative of v(s) wrt s?\nAnswer: -21592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103637620 is divided by 34545872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c - 24. Let f be i(-6). Suppose -4*n + 2*n + 5*z = -57, 2*n + z - 27 = f. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 0. What is the remainder when d is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiilliiiiliiiiiiil. What is prob of picking 1 l and 3 i?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*c = -3755, 4*z - 12*c - 2940 = -8*c. What are the prime factors of z?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7865*c + 7859. Give g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10004924 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.56 and -2?\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 608 and -3.99.\nAnswer: 604.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2848328 and 0.2.\nAnswer: -569665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/15 - (-3)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 6. Let r = -46 + 35. Let l(u) = -3*u**3 - 14*u**2 + 17. Determine r*n(j) + 4*l(j).\nAnswer: -j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-4)\/d))*d\/d**8)**(-8)\/((d**4\/d*d**(2\/3))\/(d\/d**0)**(-5)) assuming d is positive.\nAnswer: d**(262\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 14*b = 11*b + 26, 8*v + 5*b = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 4. Let z(r) = r + 1. Let m be z(4). Suppose m*j - 145 = 55. Calculate the remainder when j is divided by u(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -19. Suppose -2*g + 2*i + 12 = g, -v*i = 0. What is the first derivative of -4*k**4 - 2 + k**g + 0 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208300 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 26*j. Let k(q) = 5*q**2. Determine k(n(c)).\nAnswer: 3380*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101711 divided by 8?\nAnswer: 101711\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -851*a - 13*a**2 + 851*a in the form m*a + n*a**2 + i and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 4 (c) 5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 14*h**2 - 64*h - 96.\nAnswer: -(h + 4)**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -572299 divided by 7?\nAnswer: -81757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-81)*-3)\/((-1)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2. Let z(x) = -x**2 + 4*x + 5. Let h be z(5). Let o be (0\/(-1))\/(-1 - h). Let l(a) = o*a + 10*a - 10*a - 3*a. Calculate l(q(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 11*t**2 + 10*t - 5. Let m be s(12). Let u = m + -145. What is the remainder when u is divided by -6*3\/(18\/(-40))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 - ((6 - 2) + -1). What is the greatest common factor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -13. Let j be (-3)\/(-20) - 1\/s. Let x = 7.5 + -8. Sort j, x, 3 in decreasing order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -0.12. Let m = z - 1.59. Let n = -1.4 - m. What is the closest to 2 in n, 2\/11, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 66727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*a + 73644, -2*a = 2*a + 4. Suppose -3*y = -2796 - h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**7\/315 - 11*o**6\/180 + 2*o**5\/5 - 4*o**4\/9 - 64*o**3\/9 - 138*o**2. Find f, given that r(f) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -15, -16, 5, 1, -4 in descending order.\nAnswer: 92, 5, 1, -4, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8526 by -21.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = p, -10 = 4*p - 4*v + 2. Suppose 22*a - 23*a + 1271 = p. Let d = -798 + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 24*n + 48 = -21*n + 6*u, 4*u = 3*n + 97 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, 1, 1.2, 15.85, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 + 3*n**4*y + n**3*y - 667*n**3 - 12*n**2 - n*y - 37 wrt n?\nAnswer: 120*n**2 + 72*n*y + 6*y - 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.374869317 rounded to 3 decimal places?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (237 - 91 - 190 + 1354)*(0*a - a - a) in the form i + n*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (6 + -14 - -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k + 34. Let y be 0*1*4\/(-8). What are the prime factors of a(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 2655 = 2*y. Let s = -211 - y. List the prime factors of (6*7\/s)\/(2\/620).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/15 - 638*z**4\/15 = 0.\nAnswer: -319, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 5*w**2 + 4*w + 3. Let q be z(-4). Suppose 0 = v + q*v. Solve v*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 - j**3 - 4*j**3)*(-j - 4 + 4) + (-j**2 + j**2 + j**2)*(-17*j**2 + j**2 - 75*j**2) to the form p*j**3 + c*j + a*j**4 + w*j**2 + z and give a.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -275*f - 3479. Calculate a(-13).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034948864?\nAnswer: 2, 4042769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + 17010\/(-490))\/(36\/(-168)*(7 + -1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -0.093, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 7*k + 9. Let t(h) = h**2 + 3*h - 4. Calculate 2*b(v) + 5*t(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 24. Let x(q) = 9*q + 74. Suppose -11*d = -10*d - 2. Let v(y) = d*x(y) - 7*r(y). What is v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2340, -2887, -3436, -3987, -4540?\nAnswer: -5095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38940053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 2, s: 2}. What is prob of sequence sq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 56*a**2 - a - 1. Let z be s(-1). Suppose -72*f + 69*f + 21 = 0. What is the highest common divisor of f and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 23. Let n(t) = -t**2 - 4*t - 1. Let f be n(-5). Let j be l(f). Suppose 2*c = -5 + j. What is the remainder when 45 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.8496 and 50.\nAnswer: 792.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9257 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f + 10. Let d be z(-4). Solve -3*q + d*q + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 623, 2222, 5335, 10466, 18119, 28798, 43007?\nAnswer: 61250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -63.868. Let u = -0.221 - o. What is u rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -174009, -174014, -174023, -174036, -174053, -174074, -174099?\n\"Answer: -2*b**2 + b - 174008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/14515 and 29\/1944.\nAnswer: 28217160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/9366204 and 55\/282.\nAnswer: 440211588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557920179 != 1557920179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -7 (b) -12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16306781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = 4*n, -n - 15 = -2*d - 4*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(288)*3 + sqrt(8)) - (sqrt(684) + sqrt(684) + 1 + 0)**2.\nAnswer: -2737 - 455*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2744526 less than 3?\nAnswer: 2744529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 5*v**2 - 11. Give p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 706320 * 5.\nAnswer: 3531600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -4. Suppose 0 = u + 3 - v. Solve -u*l + 18 = -2*x, 7 = 4*l + x - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((0 - -4) + -3 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2999*g**3 + g**2 + 16667?\nAnswer: -17994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -20.1?\nAnswer: -40.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2. Calculate h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1461*v - 684. What is the thousands digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 38 + (-5 + 6 - 8 - -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23684*a - 23599*a + 2210 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -d?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0098 + -0.0917. Let k = v + 0.0015. Let q be (-10)\/(-12) + 3\/(-6). Which is the biggest value? (a) k (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**3\/7 - 20052*s**2\/7 - 16753446*s\/7 = 0.\nAnswer: -1671, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*s + 100 = 0, -23 = -l + 4*s - 7*s. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066456433 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w + 3*x, 4*w - x + 5 - 17 = 0. Let a(s) be the third derivative of 0*s**3 + 0*s - 1\/24*s**4 + 8*s**w + 0. Let m(u) = 10*u. Determine a(m(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10045 - 16045*d - 628*d + 1267*d wrt d.\nAnswer: -15406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + 6. Let q be b(8). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013211 times -5\nAnswer: 0.066055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.5. Let c = -174 + 170. What is the second biggest value in c, o, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 - 3*s**3 - 8*s**2 + 192*s + 120. Calculate n(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26354 (base 7) to base 12\nAnswer: 40b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -3*l**6\/2 + 31*l**4\/4 + 151*l**3 - l**2 - 708. Find the third derivative of g(v) wrt v.\nAnswer: -540*v**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from gjfat.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12 + 12\/24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 22*k**2 + k + 1. Let t(h) = -h**3 + 6*h**2 + h - 4. Let r be t(6). Let v be b(r). Suppose 0 = -4*p + x + v, -4*p = -x - 3*x - 76. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 10*g - 43, -g - 4*b + 27 = 0. Let q(i) be the second derivative of 1\/3*i**4 + 12*i + 1\/20*i**5 + 0 - 1\/2*i**2 - 1\/6*i**g. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s**2 + 3*s**3 - 16*s + 4*s**3 - 182*s**2 + 247*s**2 - 8*s**3.\nAnswer: -s**3 - 58*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 7*s = -n + 8, -4*n - 28 = 4*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17913127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 3*w**2 - 5*w - 1. Let d be o(6). Let i = d - 26. Suppose -2*p = -m - 49, i + 25 = 3*p + m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08826, 1\/12, 0.5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182305 and 4545?\nAnswer: 1640745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 622932 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09141 + 2.09141. What is the closest to 2 in 4\/7, g, 12, 4\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39380361617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let j be t*-3*4\/(-6). What is the third derivative of i**3 - 2*i**j - 2*i**3 - i**3 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.016um to nanometers.\nAnswer: 905016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {j: 11, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/352911 and 41\/6792?\nAnswer: 798990504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10881\/2, 1, 3\/8, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -736, -1104?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1390168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 2*c - 195 + 101 - c**4 + 105 to z*c**4 + n*c**3 + b*c**2 + a*c + u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = a - 0*a. Let j = 16 - a. Calculate the greatest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 12) to base 11.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(432) + -2*sqrt(432) + sqrt(432))\/(sqrt(112)\/sqrt(7)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1764889.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ec - -1?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 times 184422?\nAnswer: 4057.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + c + 50 = 0, -10*c = -9*o + 9*c - 4*c + 236 + 178 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127.7*10.1.\nAnswer: 1289.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212425.0031 + 212415. Let r = -10 - d. What is r rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1177.\nAnswer: -1177.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*q - 147 = 246*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40992397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07273 - 297978202.\nAnswer: -297978201.92727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 3008?\nAnswer: 9\/3008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*m + 54 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41905067 by 151.\nAnswer: -277517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 1 + 0)*(4*t**3 - 8*t**3 - 5*t**3) in the form w*t**3 + z*t**2 + m*t + n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 123 = -201 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 28. Let p be c(7). Suppose -p = -s + 13. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 12*m**2 + 15*m + 16. Let a = -1008 - -997. Calculate u(a).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -84. Calculate the lowest common multiple of 5 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150377033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 615482 > 615483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30143, 60550, 91221, 122156, 153355, 184818?\n\"Answer: 132*p**2 + 30011*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*q, 5*q + 3 = -5*h + 48. Sort 3, 1, q in ascending order.\nAnswer: 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -1296.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 163, 3, -69?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3, -15, -12.\nAnswer: -26, -15, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 46. Suppose 4 = -0*a + 2*a, 0 = -o + 5*a + 14. Let g be y(o). Suppose 4980 - 380 = -g*u. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -29841328\nAnswer: 29841328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-18)*(v*v*v**(-2)\/v*v)\/v*v)\/(v**(-3\/4))**(-1\/28) assuming v is positive.\nAnswer: v**(-2019\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7)*m)\/m**(2\/3)*(m**8*m)\/((m**4*m)\/m)*((m*m**(-5)\/m)\/m*m**(1\/9))**(-46\/5) assuming m is positive.\nAnswer: m**(18881\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7196, 1\/4, 9, 0.1, 5, -0.4 in descending order.\nAnswer: 9, 5, 3, 1\/4, 0.1, -0.4, -7196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((sqrt(1539) + ((sqrt(1539) + 3*(0 + sqrt(1539)))**2 - sqrt(1539)) + sqrt(1539))*-1 - ((5*sqrt(1539)*2)**2 + -2)).\nAnswer: -714088 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 60*l - 57179. Determine g(211).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 272*d**2 - 1 + 5*d**3 + 270*d**2 + 2*d**4 - 5*d in the form s*d**2 + u*d**3 + h*d**4 + n + c*d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548787 a multiple of 1346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-196)\/(-16))\/((-4)\/16). Let m = 78 + h. Find the second derivative of 3*q - 7*q + m*q**2 - 16*q**2 wrt q.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1\/7)*j**3)\/(j**4\/(j**(-3\/8)\/j)) assuming j is positive.\nAnswer: j**(-13\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135016.14 + -71.\nAnswer: -135087.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290120523?\nAnswer: 3, 7, 11, 59, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3\/7, -2\/3, -4\/9, -5, -8, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28465085 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3)\/(3\/(-2)). Let m be s + 1*6 - 0. Suppose -5*t - 32 - m = -2*y, -y + 3*t = -21. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -62?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13868 is divided by 4596?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 93a (base 16) to base 2\nAnswer: 100100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 23264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110095039 to the nearest integer?\nAnswer: 10493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106704 and 266760?\nAnswer: 533520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/9 - 22*x**4\/9 + 178*x**3\/9 - 418*x**2\/9 + 400*x\/9 - 136\/9 = 0.\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 39713604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3*v + 141*m**3 + 2468*m**2*v + 34835*m**2 - 1473*v wrt v.\nAnswer: m**3 + 2468*m**2 - 1473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -40*(1766\/(-56) + 4\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5802 or 678910\/117?\nAnswer: 678910\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 832 and 51896.\nAnswer: 415168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 384 - 1142 = 0. Let f = k - 158. Calculate the remainder when f is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118989 is divided by 39663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-21)*180\/(-24). Let l(n) be the first derivative of -4\/3*n**3 + 0*n**2 + 0*n + 7 + n**u + 0*n**4. What is the third derivative of l(q) wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 7\/3)\/(4\/(-6)). Let w be 1*3 - (1 + -3). Suppose w*a = a. Put l, 5, a in ascending order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118335 and 60490.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 7. Let g be t(2). Suppose -2*k - 4*p + 290 = 0, -g*k + p + 655 = -3*p. Suppose -4*h + 9*h = k. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:25 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8759240 divided by -1090\nAnswer: 8036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 + 5. Let m be f(6). Let s be (-4)\/(-10) + 8\/m. Factor 0*u**s - 1\/3*u**4 + 1\/3*u**3 + 0 + 0*u.\nAnswer: -u**3*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 190 = 177. Let x = 7\/22 - 5\/154. Find the common denominator of q\/(-20) + 6\/(-15) and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-14) + 3\/(-42)*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h. Suppose h = 4*p + 1 - 5. Let p - 1 + 2*b**2 + 4*b + 2 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 2*t - 6. Let j be z(-9). Let n be ((-1)\/3)\/(4\/j). Let d be n\/(-174) + (-25)\/(-6). Solve m = -m - d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*s*w**2 + 983*l*s + 2*l*w**2 - 73*s*w**2 wrt w.\nAnswer: -4*l*s*w + 4*l*w - 146*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j - 40. Let h(k) = 1. Let u(o) = b(o) + 6*h(o). Is 14 a factor of u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let v(n) = -3*n**2 + 7*n - 13. Give -6*u(y) - v(y).\nAnswer: 3*y**2 - y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1157\/89)\/((-1625)\/(-150)))\/((-6)\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-12))\/(9\/(-24)). Let w = -8 + 6. What is the third smallest value in p, w, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 1093, 1097, 1101, 1105?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 35266*g - 46968035.\nAnswer: (g - 1285)*(g + 36551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = d - 2*d. Suppose 56*c - 54*c = 14. Suppose 5*y - 113 = -a, c*a = 2*y + 3*a - d. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i - 9. Let b be k(3). Suppose -h - 44 - b = 0. Let x = h - -62. Let p(d) = -d**3 - 7*d**2 - 7*d + 1. What is p(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2564974646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -5*o**3\/6 + 3*o + 1. Let p(s) be the first derivative of t(s). Let h(b) = -b. Give p(h(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 5*o. Let a(t) be the third derivative of t**5\/60 + t**4\/24 + 8*t**2. Let y(b) = b**2 - 3*b - 5. Let f be y(4). Calculate f*q(s) - 5*a(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * -3.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**3 + 2*n**2 - 34*n - 28. Let q be t(-7). What is q rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49815 (base 10) to base 6\nAnswer: -1022343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 153*t**2 + 65*t**2 - 294*t**2. Let o(v) = -3*v. What is o(c(w))?\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000078 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(((-45)\/24)\/5). Let k = 24 - c. Let w = -17 + k. 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 be (6 - 9112\/(-16)) + 6. Let n = p - 1763\/3. Find the common denominator of -103\/306 and n.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251259 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: Let q be (-1)\/3*(0 - 2)\/(-2). Let u = -4.9131 - 0.0869. Put 3, q, u in increasing order.\nAnswer: u, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**4 - 2*r**4 + 5*r**4)*(-41 + 47 + 81) to i*r**3 + y*r**2 + s + b*r + x*r**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*6)\/(sqrt(45)\/(-1*sqrt(5))))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*b, -4*u + 8 = -u - b. Suppose -2*y - 3*y = -3*v - 17, 0 = 3*y - 12. What is the lowest common multiple of u and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -244112, -244116, -244118, -244118, -244116, -244112?\n\"Answer: z**2 - 7*z - 244106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -3019*l**5\/20 - l**3\/6 + 1092*l**2 + 631*l. What is the derivative of g(z) wrt z?\nAnswer: -9057*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135572172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -5967, -390, -4\/3?\nAnswer: -5967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**2*z + 22*w**2 - 113*w - 6*z + 43 wrt w.\nAnswer: -4*w*z + 44*w - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + k - 21 = -72, -141 = -3*w - k. Suppose 3*v = -v + w. What is the lowest common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23453759819916 + -20.\nAnswer: -23453759819936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1820*h - 1824*h + 36. Suppose 4*c - 3*c - 2*n - 37 = 0, -n - 59 = -2*c. Let z be (c - -3)\/(2\/3). Calculate the greatest common divisor of z and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -727.868 and 0.008.\nAnswer: -5.822944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -144. What is the least common multiple of 54 and (505\/303)\/((50\/t)\/(-5))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (22 + -41 + -19)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -7140.\nAnswer: -42840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 52*a - 337. Let f be k(43). Solve -f*l - 135 = -77*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(5 - (2 + 0)). Suppose -t*r - 10 = -5*r. Suppose -r*s + 42 = -2*s. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*1\/(-8)*-4. Suppose -243995 = -2*m - y*z, z + 3*z = -m + 121996. Suppose -8*k + m = -10*k. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8407 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*h*r**2*w**2 + 9*h*r**2 - 22*r**2*w**2 - 2*r - 4*w**2 with respect to h.\nAnswer: -11*r**2*w**2 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 6032. List the prime factors of k(136).\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10318 and 25762.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -87, -3\/4, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 907*u**5 + 4190*u**3 - 8112269*u + 1 wrt u.\nAnswer: 18140*u**3 + 25140*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*t + 238. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(6\/5)*y**(-10))\/(((y\/y**(1\/3)*y*y)\/y*y)\/y)**9)**(-3))**26 assuming y is positive.\nAnswer: y**(9282\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72520*0.792.\nAnswer: 57435.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/6)\/((-80)\/10))\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330096 is divided by 330058.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-10)\/3)\/((-4)\/6))\/1. Suppose 3*x + 1 = 4, -u - 6 = -c*x. Let b(s) = 2 - 4*s**2 - 2*s - 3 - 7*s**2. Give b(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3347638 divided by 26?\nAnswer: -1673819\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54789, 54788, 54787, 54786, 54785?\nAnswer: 54784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1099 - -9881\/9. Do k and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 84190.\nAnswer: 336760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 5. Let c(g) = -g**2 - 8*g + 1. Let k be c(o). Let s(b) be the first derivative of b**4 + b**2\/2 + 67. Determine s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -49398.\nAnswer: -49414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -46. Let w = 33 - t. Suppose 1 + 73 = w*m. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 5*g + 5*b - 241, g - 2*b - 47 = 0. Let f(u) = 18 - g + 3*u**3 + u - 9*u**2 + 16. Let p be f(3). Solve p = -r + 2*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 - -137. Which is the nearest to d? (a) -6 (b) 4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 573656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*1*sqrt(833) + (-5 + sqrt(2057) + 3)*4.\nAnswer: -166*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.4. Let x = -2.971 - -3.071. What is the closest to x in o, 2\/3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*y = -12, 3*y + 24 = q - 2*y. Suppose q*u + 0 - 4 = 0, -v + 4*u = 0. Suppose -v*d + 34 = 326. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 18*m + 455. Is l(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 - 2322*r + 36640 = 0. What is r?\nAnswer: 16, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-12) + 2)*(-12)\/14. Solve -7*q - t*q = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5891\/(-3870) - (-115)\/207)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -6.05. Let i = 351.1 + -355.1. What is the nearest to d in -2, i, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 7*o + 2. Let v be g(7). Solve -11 = -v*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-374)\/18 + ((-14365)\/153)\/13 + 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47293, -94563, -141833, -189103?\n\"Answer: -47270*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*z + z. What is the greatest common factor of 63 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c. Let f(x) = -49*x**2 + 63*x**2 - 31*x**2. Calculate w(f(y)).\nAnswer: -170*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -r. Let g = 1.9 - 2.46. Let s = g + 0.06. Which is the closest to r? (a) -2\/3 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 374?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60864 by 5.\nAnswer: 60864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15840860, 31681722, 47522584, 63363446, 79204308, 95045170?\n\"Answer: 15840862*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262 + 81 + 8*m**2 + 181.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 3*k**2 + 8*k**3 - 5*k**3.\nAnswer: -4*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbp when three letters picked without replacement from {p: 2, b: 2, z: 1, l: 1, f: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1827 + -0.4\nAnswer: -1827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/42614 and -113\/286?\nAnswer: 42614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19858.3 - -17240. Let g = p + 2413. Let n = -204.331 - g. Round n to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (237\/79)\/((1\/3)\/(-1)*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 - 17370756*o**3 + 3*o + 4393478 wrt o.\nAnswer: 20*o**3 - 104224536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -260056\nAnswer: 1\/260056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 5*p + 3. Let j(u) = -u**2 + 3*u - 2. Let t(g) = 3*f(g) + 5*j(g). Let m(k) = 6*k**2 - 5. Determine -2*m(b) + 11*t(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1227 and -55\/2697429.\nAnswer: 1103248461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-55)\/(-25) - ((-1188)\/(-110))\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**2 + 530. Let z(x) = 290*x. Give y(z(a)).\nAnswer: -756900*a**2 + 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1387\/73 + (-33)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25429 is divided by 2929.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71874.69 minutes to seconds.\nAnswer: 4312481.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 + 32 = -2*n. Let m = 2 - n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7626 - 3659. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4434 by -9554.\nAnswer: 2217\/4777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201822.\nAnswer: 2, 3, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22259049359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 5, r: 14}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 360. Suppose 0*k = -2*k + r. Calculate the greatest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*r + 60*r**2 + 67*r**2 - 123*r**2.\nAnswer: 4*r**2 + 358*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 36 = 0. Let t = f + 39. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/1)\/(7 - 4). Solve 4*j + 8*j - 60 = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 2*c - 4*c**3 + 2*c**3 as x*c + y*c**2 + t*c**3 + j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 3:16 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1642686*p**2 + 2*p. Let q(m) = -m**2. Determine k(q(u)).\nAnswer: -1642686*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:35 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 14196622339?\nAnswer: -14196622338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**4*v**(1\/3))\/(v**(-2\/5)*v)**(-1\/12) assuming v is positive.\nAnswer: v**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) - (-78)\/(-30). Which is smaller: o or -2\/35?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = a + 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-125*n**3 - 59*n**3 - 16*n**3) in the form y*n**3 + d + s*n**2 + q*n and give y.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 64*q**2 + q + 2*q + 3*q.\nAnswer: -64*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496538 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**2 - 70*n - 1721. Determine u(-13).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 3. Let f(o) = 8*o - 5. Suppose -3*w = -t + 2*w + 1, -2*t + 10 = -2*w. Determine t*f(n) - 10*m(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*j - 11806 - 23222. What is j rounded to the nearest ten?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 22*o. Let d(z) = 21*z. Suppose -9*s - 17 - 10 = 0. Let y(x) = s*t(x) - 4*d(x). Find the second derivative of y(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.7836km to meters.\nAnswer: 764783.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22012 (base 4) to base 9\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141*p**2 + 441*p + 54.\nAnswer: 3*(p + 3)*(47*p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 0. Suppose 0*q - 3*f - 21 = -o*q, 8 = 2*q - f. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 24. Let y be d(15). Let u(j) = j**3 - 9*j**2 + 2*j - 13. What is u(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y. Let i(t) = t + 1. Let m(p) be the first derivative of -p**3\/3 + 11*p**2\/2 + 11*p + 15. Let r(s) = 22*i(s) - 2*m(s). Determine r(h(v)).\nAnswer: 338*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 27)\/((-25)\/5 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -0.62. Let h = r + -1. What is the third smallest value in 0.5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 6*v + 2. Let p be i(6). Let a be (p\/(-8))\/((-6)\/(-752)). Let n = -461\/15 - a. Sort -3\/5, n, 3 in descending order.\nAnswer: 3, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 5*g**4\/12 - g**2. Let n(y) = -298*y**2 - 285*y**2 - 297*y**2 + 882*y**2. Determine k(n(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -49, -0.5 in descending order.\nAnswer: 2, 1, -0.5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 90*i + 38*i + 2*i.\nAnswer: 128*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -856, -1131, -1404, -1675?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6258 + 7601 = 555*t + 9273 + 12050 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -4507\nAnswer: 2253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3 - 68903433*d**2 - 154469532 wrt d?\nAnswer: -3*d**2 - 137806866*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/4 + 6*j. Let h(z) = -2*z**2 - 8*z + 4. Let f(u) = -2*u + 1. Let o(x) = -4*f(x) + h(x). Calculate w(o(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1533376*t**3 - 5006640 wrt t?\nAnswer: -4600128*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j, -u + 4*u - 2*j = 19. Suppose 2*r + 41 = u*r + 4*d, 5*r - 3*d - 48 = 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3201848 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 58. Let b = y - 25. Suppose m + m = b. Solve -h + 3*h = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*y**3 + 35*f*y**2 + f*y + 13*y**3 wrt y.\nAnswer: 6*f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2157, 4307, 6457, 8607, 10757, 12907?\n\"Answer: 2150*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62488 (base 16) to base 7.\nAnswer: 3264445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 32. Let j = -7.2 - m. Which is the second biggest value? (a) j (b) 7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let s be -4*1\/(-2)*5. Suppose 2*h - 5 = -3*u, -4*h = 5*u - s*u + 1. Let l(n) = -1 + h + n. What is j(l(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s - 41*s - 236 + 11*s - 111*s + 334 to b + u*s and give u.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in 5, -0.2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -22 (c) 0.5 (d) 4 (e) -524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2266 (base 7) to base 5.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/35271 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 30. Suppose -q*r + 25*r = 0. Solve -4*p + 5*x = -2*p + 11, r = -p - 2*x + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = t. Suppose 4 + t = 2*b. Suppose b*d - 23 = -2*l - 4, -5*l = -d - 34. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 4 (c) -2\/7 (d) -0.1123 (e) -5 (f) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -19, -5, 9, 23?\n\"Answer: 14*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-30) - 344\/(-120). Suppose 0 = -5*u - 4*i + 22, 0*u - 3*u - b*i = -15. Solve -3 = -3*a + 5*k, u*a - 3*k + k = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1228, -4867, -10918, -19381?\n\"Answer: -1206*l**2 - 21*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -9*t**2 + 0 - 11\/120*t**5 + 0*t - 1\/24*t**4 - 4\/3*t**3. Let w(p) be the first derivative of n(p). What is w(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*q + 3*n, q = 4*n - 2. Solve -x = -3*x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 71 = -43 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -14. Let u = 4.1 + -0.6. Let k = u + 0.5. Which is the closest to 1? (a) 5 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36924 from 0.4.\nAnswer: -36923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 8*t + 6*t + 3526, 4*f = -t + 7055. What is the greatest common factor of f and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. What is the third derivative of -28*z**2 - z**2 + 5*z**2 - 12*z**3 - 3*z**u wrt z?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.24?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1445 = z + 4*z - v, 2*z = -v + 571. Let o = z + -279. Suppose w - 32 - 11 = 0. What is the remainder when w is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by 5?\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103279 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-7)\/(70\/4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1215873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -6. Let s be u\/(21\/2 - 7). What is the closest to 0.1 in 2\/15, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n - 20*n - 27*n + 1 + 18*n as d + q*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/1012 and -11\/8280?\nAnswer: 91080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:26 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25\/(-2))\/(((-2)\/(-4))\/1). Let s(p) = 14*p + 1. Let v be s(-3). Let z = j - v. What is the least common multiple of z and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 + (-31)\/7 - -4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 5*s**2 + 0*s + 1\/30*s**6 + 0*s**5 + 0 - 1\/6*s**4 + 0*s**3. What is the second derivative of k(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -17. Is ((-107)\/z)\/((-9)\/(-108)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-8))\/((-49)\/((-14112)\/(-108)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (210\/(-210))\/(0 + (-3)\/15). Let v = 1.1 - 5.1. What is the third smallest value in 3, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 16081.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 524 + -595. Do i and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1638635, -1638645, -1638661, -1638683, -1638711, -1638745, -1638785?\nAnswer: -1638831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5\/7 - 10062*m**4\/7 + 611535*m**3\/7 + 2556900*m**2\/7 + 3238932*m\/7 + 1303632\/7 = 0.\nAnswer: -2, -1, 66, 3292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-5)\/sqrt(5))\/(5*2*sqrt(700)).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 663 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2 + -7. Let u = o - -10.8. Let b = -12.99904 + u. Round b to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 19 + -2 + 1 - 34?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 at least as big as -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v)\/(v\/((v*v**7)\/v))*(v\/(v**2*v)*v)**(1\/9))**(-2\/73) assuming v is positive.\nAnswer: v**(2\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2 - 2*y + 2. Let w(c) = -c**2 + 2*c + 3. Let u(f) = f**2 - f - 2. Let x(k) = -3*u(k) - 2*w(k). What is -m(i) + 4*x(i)?\nAnswer: 2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)\/(-3) + 64\/4. Suppose 3*r - 9 = -3*q, 2*r - d = 5*r - 3*q. Which is greater: -3.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k - 4*j + 16, 0 = 5*k - j + 10. Let n be k*(2 + -3)*0. Let d = 100 - 702\/7. Is d greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 1772*x**3 + 19*x**2 + 142*x + 1774*x**3.\nAnswer: 2*x**3 + 18*x**2 + 142*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 1 - (-19 + 26) - (34 - 99)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5*q - 7*j**4*q - 133*j**2*q + 3*q wrt j?\nAnswer: 240*j**2*q - 168*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 458.24 times -329\nAnswer: -150760.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -89*u - 239. Does 28 divide k(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1527 - -27500\/10689. Which is smaller: d or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 9 = -3*r, -2*b = -4*r + 14. Suppose 5*j - r*x = 19, 2 = 2*j - 4*x - 12. Solve j*f = -4*t, -3*f + t = -t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123994 or 123763?\nAnswer: 123994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100252418*u**2 - 239010316*u + 1 wrt u.\nAnswer: 200504836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1251 and 960928128.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1474 in 3, -0.3, 0.1, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:57 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Suppose 5*z = 2*z - 36. Let n be (-3)\/(z\/8) + 0. Let i(v) = 0*v**2 - 2*v**2 + n*v**2 - 4*v**2. What is i(p(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 15*i. Let n(f) = 3*f - 28. Let g be n(10). Suppose 3*j = 5*x + 41, 5*x + 33 = -3*j + g*j. What is the units digit of y(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 8 + 6 + b**3 + b as t + m*b**2 + a*b**3 + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 26226251?\nAnswer: -20\/26226251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12602270 to the power of 1\/2, to the nearest integer?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(300) - (sqrt(300)*-1 + sqrt(300) + 5))**2 + 4*((sqrt(3) - (sqrt(3) + sqrt(36)\/sqrt(768)))**2 + sqrt(3))*3.\nAnswer: -10391\/16 + 212*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*9\/(-6) - -1. Let g(y) = -5 + 0 - 6*y + n*y - 1. Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 318? (a) -0.502 (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325147101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s - 5303 = 0, -10642 = -2*q - 42*s + 41*s. What are the prime factors of q?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195181 - -2.097.\nAnswer: 2.292181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550233103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o + 1. Let l = 306 + -307. Determine x(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36880289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/95, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754132 is divided by 24318?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*h - 2111 + 2181, 2*h - 2*u = 28. Solve -5*w = -h*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.376 and -6.\nAnswer: -2.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -312070737 to the nearest 100000.\nAnswer: -312100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*r = 48, 3*y - 2*r - 141 + 151 = 0. What is the fifth biggest value in 2\/5, y, 1.5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -3491110?\nAnswer: 3491100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 - 8*i + 31. What are the prime factors of m(-9)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:59 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434*o**3 + 294*o**2 - 351*o**2 + 120*o**3 wrt o?\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 413696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17295122 divided by 51169.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -154\/367 (b) 3\/8 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(((-2176)\/(-459))\/(-16)))\/(-3)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691619146 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/1 + 1)\/(1302\/(-124) - 23). Let o = 0.06 + 0.34. Which is the biggest value? (a) o (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j - 4*g - 4, 0 = -2*j + 2*g. Suppose -2*f + t - 2 = f, 0 = f - t + 2. Let d = f - -1. What is the highest common divisor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -100*((-222)\/(-24) + -9). Which is smaller: 50 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v. Suppose -a = -v*a - 3. Let f(r) = 6*r**2 - r - 4*r**3 - 7*r**2 + 1 + r**a. Give f(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.19 - 32. Let i = 1.51 + -1.6. Let a = m + i. Which is bigger: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1177 - -1347. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2276, 2264, 2244, 2216?\n\"Answer: -4*k**2 + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*i + 44*i - 102*i = 3859170. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 2*f + 3. Let q(i) be the second derivative of i**4\/12 - i**3\/6 + i**2\/2 - 2*i. Let u = -5 - -7. Let r(l) = u*q(l) - m(l). Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1118.7 * 3.\nAnswer: -3356.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061305 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 654 = -5*g + 3*y, -g - 3*y + 120 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 6*a + 2*j + 3*j + 100 = 216, 3*j = -5*a + 64 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 213*w - 109*w - 103*w. Let k(x) = 48*x**2. Calculate l(k(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 295, 154, -235, -998, -2261, -4150?\n\"Answer: -21*c**3 + 2*c**2 + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 1. Let u(d) = -4*d**2. Let z(m) = -3*m**2 + 1. Let q(w) = 2*u(w) - 3*z(w). Let f(j) = q(j) + 3*s(j). Let h(y) = 7*y**2. What is f(h(a))?\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -168*r + 111. Let l = 60 - 63. Is 15 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(605) + -4*sqrt(605)*-3 + sqrt(605))*4*4)**2 + 2 + 3)*2.\nAnswer: 60712980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let c(v) = -v**3 + 25. Let f be c(0). Solve -z*w = w + f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-196)\/6 - (-6)\/9. Let s = o + 36. Solve 4 = -n, -12 = -z + s*n - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3630, 7260, 10890, 14520, 18150, 21780?\n\"Answer: 3630*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2617, -2616, -2615, -2614, -2613?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20581*m = -20614*m + 2079 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 143 = -9*k. Find the common denominator of 3047\/165 - (-4)\/k and 64\/(-11) + 6\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (32 - 32) - -11 - (1 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(((sqrt(88) + sqrt(88)*-1 - sqrt(88)) + sqrt(88))*6 - sqrt(88)))\/(sqrt(200)*-1*-4)*-3*3)**2.\nAnswer: 8019\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40870 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2130*h - 1799 + 6839 = -2410*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2555 = -180*u + 2125. Suppose -43 = 4*n - 7. Let h = 15 + n. Calculate the remainder when u is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*x - 42*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 2*x - 44*x**3 - x - x**4 + 23*x**3 + 10*x**2 + 24*x**3 to v*x + w*x**2 + k*x**4 + i + z*x**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -28. Let r = g + 12. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 140 = -5*t, -2*t - y + 22 = 93. Let z = t - -34. What is the units digit of (-5 - z)\/((-6)\/92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z - 3. Suppose 0 = -c - 2*c + 6. Let g(j) = -2 - 2*j**2 - 2*j + j**3 + 3 - j**c. Determine g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stst when four letters picked without replacement from {t: 18, s: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102216 - 31?\nAnswer: -102247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -963559\/33 or -29200?\nAnswer: -29200","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22855*n**6 + 2307*n**2 + n.\nAnswer: -2742600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 1530579?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741576671 to the nearest integer?\nAnswer: 27232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3503 - 5694 = -17*g. Does 60 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 37*z + 2*z)*(7 - 6 - 9)*(-z**3 + 1 - 1) in the form o*z**4 + u*z**2 + d + q*z + g*z**3 and give o.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-30) + 3\/(450\/95). What is the fourth biggest value in -1, -0.4, g, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 105 = -21*l - 3*q, -q - 40 + 1 - 86 = -2*l for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937 + 36*t**2 - 3866 + 1929.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46345751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -348b (base 15) to base 13\nAnswer: -5102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. List the prime factors of 4\/4 - (-11 - r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 2 = 9*g. What is the common denominator of ((-1)\/g)\/(25\/170) and (-24)\/10 - (-4 + (-7)\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmn when four letters picked without replacement from {r: 2, m: 2, s: 3, n: 1, q: 1, c: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*w + 15 - 22 = 0, 3*w = 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96933 + 15143 + 19940 + 3*n**2.\nAnswer: 3*n**2 + 132016","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4*g**2 - 35634028*b**4 + 11*g**2 + 2*g - 642694 with respect to b.\nAnswer: 4*b**3*g**2 - 142536112*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (6103\/85)\/(4\/60) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691*c**5 - c + 315 wrt c?\nAnswer: 13820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -187266 and 4.5.\nAnswer: -842697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -27. Suppose h + w = 33. What is the tens digit of (h - (3 + 1)) + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*p**3 - 1 + 30*p + 20*p - 59*p**3 + 69*p to v*p**2 + a + j*p + f*p**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Suppose -2*w - 15 = -3*w - 3*h, 4*h = 2*w. Suppose -4 = -f, -4 = 2*q - q - 2*f. Solve w*i = 3*i + y - 12, k*y = -i - q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*m = -3, 0 = -p - 2*m + m + 1. Suppose 3*v + 7 - 67 = p. Suppose 0 = -r - r + v. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (526\/263)\/((-6)\/(-3))*-31*1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 11*b + 2*b**3 - 10*b - 20*b**2 + 23*b + 22*b - 28 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/8055 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47091, -47093, -47097, -47103?\nAnswer: -47111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -28. Let c be 4\/(-10) + 110\/w. Suppose c*q = 10 + 26. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113.28 nanometers in meters?\nAnswer: 0.00000311328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04501 rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 330074795 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose u*p - 5*p = -6. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0. What is the smallest value in -0.2, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 304408 and 417.24907.\nAnswer: 304825.24907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*v + 5*v - 10, 0 = j - 4*v - 10. Let f = j - 5. Which is the third smallest value? (a) 0 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7232 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*s**4 + 55*s**4 - 4*s**5 + (-5*s**2 + 3*s**2 + 3*s**2)*(2*s**3 - s**3 + 0*s**3).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u, -2*u + 28 = z - 3. Solve 0 = -k + 5*q, 0 = 3*k + 2*q + z - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349 + -327. Calculate the remainder when 84 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -24?\nAnswer: -59\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6 - 5) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - p - 5, -4*r + 3*p + 4 = -7. Solve 2*x + 2 = -4*q, -4*q = -3*q + 2*x + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-13 - (-42 + 49 - 24\/2))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1225 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836 - 8*a + 5*a - 7*a.\nAnswer: -10*a + 1836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*m - 26 - 4, 0 = 2*f - 3*m + 18. Let o(l) = -45*l + 3. Let j be o(f). What is j rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5225\/4 - -517085\/396. Calculate the common denominator of -51\/1606 and u.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + (72\/(-63) - -9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/11 + 14*n**4\/11 - 18*n**3\/11 - 54*n**2\/11 + 108*n\/11 = 0. What is n?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 6232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-3 + 28\/8)*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367660 divided by -1186?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 - 34?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - l + 1. Let u(a) = -16*a**3 + 4*a**2 - 4*a + 4. What is u(j) - 4*z(j)?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*q - 4*u, -3*q + u = -2*u. Suppose -q*w + 47 = -4*w. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1092 - -5795. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(75) - (4 + -4 + sqrt(75)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1) + (14 - 8 - 14))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 2*s + 4*s)*(-1268 - 24911 - 7195 - 397) + 3*s + 2*s - s as r + n*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 6*s**2 - 4*s - 3. Calculate k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8643, 15399, 22155, 28911?\n\"Answer: 6756*k + 1887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w - 99. Let f(r) = -2*r**2 - 20*r - 5. Let m be f(-9). Let p be j(m). Solve p*u = -17 + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3378, -3376, -3374?\nAnswer: -3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6249 is divided by 2066?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 76*i**2 - 20*i**2 - 34*i**2. Let c(b) = -5*b + 2. Calculate c(a(o)).\nAnswer: -110*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 215 = 5*l. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 8. Suppose -r*g = -20, 4*g - 296 = -4*i - 0*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:02 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6804 is divided by 3037?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0 + 3 = -w, 3*w + 4 = 2*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6644*t - 1127 = -6777*t + 735 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-4)\/m)\/m)*m**(-2\/7)*(m*m**(-8))**10 assuming m is positive.\nAnswer: m**(-443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10967?\nAnswer: 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 6*y**2 + y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 - -855. Let q = x + -397. Solve q*v + 45 = 53 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 1666340*u + 1666339.\nAnswer: (u + 1)*(u + 1666339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j - 11. Let u(f) = 17 + 16*f + 9*f + 10*f + 4*f - 43*f. What is 8*g(y) + 5*u(y)?\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*z**3 + 165*z**3 - 119*z**3.\nAnswer: 383*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*30\/3*(-43)\/(2580\/336)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + p = -5, -10 = -4*x + x + 2*p. Suppose 0 = -4*o + o - b - 7, -o - 3*b + 3 = x. Sort 0, o, -5.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l**3 + 12*l + 267. Let i(o) = 130*o**3 + 61*o + 1339. Let m(h) = -11*a(h) + 2*i(h). Find the first derivative of m(x) wrt x.\nAnswer: -78*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -937\/6, 5\/11, 13?\nAnswer: -937\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -264, -2097, -7076, -16773, -32760, -56609, -89892, -134181?\n\"Answer: -262*q**3 - q**2 + 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 428 + -424. Let k = -3.7 - -4. Let a = 0.5 - k. What is the second smallest value in s, a, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -364 + 364.0001854. Round f to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10156*z = -10123*z + 2409. Sort z, -121, -5 in decreasing order.\nAnswer: -5, z, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -605*s**2 + 241451980*s - 24090520101620.\nAnswer: -5*(11*s - 2195018)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((-3*(sqrt(65)*-6 - sqrt(65)) - sqrt(65))\/((sqrt(90)\/sqrt(9))\/sqrt(2)))**2.\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**1)**(-44) assuming p is positive.\nAnswer: p**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 20 - 38. Suppose -w - 46 = -2*x, 2*x + t*w = 4*w + 52. Calculate the highest common factor of 60 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 - -441. Suppose -3*n = -v - 10, -8*n + 6*n + 3*v + s = 0. Solve -5*h + 8*x - 3*x = -5, -2*x - 18 = n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/3 and (-258)\/(-2420) - 92\/460.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -29. Which is the closest to q? (a) 0.5 (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3332 + -3382.7. Do n and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.148126 and 2985.\nAnswer: -442.15611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 44024114004?\nAnswer: -44024114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -911, -1938, -3051, -4244, -5511, -6846, -8243?\n\"Answer: f**3 - 49*f**2 - 887*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 85*n. Let s(x) = 6 + 2*x - 8 - 4*x + 2. Give r(s(v)).\nAnswer: -170*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268719477*f**3 - 72*f**2 - 558*f + 29 wrt f?\nAnswer: 1612316862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*f + 80 = 163*f - 4*w, -w = -4*f + 65. Let j(y) = -10*y + 15*y + 13*y - y**2 - 2*y - 15. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3425*r = 13692*r + 1047234 for r.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 90 + 24*b + 115 - 126*b**2)*(-4*b + 3*b + 3*b - 5 - b + 5 + (b + 1 - 1)*(1 + 3 - 2) + 4*b - 2*b + 2*b).\nAnswer: -882*b**3 + 168*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73548351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*y**2 - 477*y**2 + 10*y**2 - 2 - 25*y.\nAnswer: -685*y**2 - 25*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -738*g**2*y**2 + 35*g - 4*y**2 - 3 wrt g?\nAnswer: -1476*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -150635 divided by 47\nAnswer: -3205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142402134 (base 5) to base 7.\nAnswer: 31644402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 2, k: 1}. What is prob of sequence rrc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 - 1?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, -4594, 84 in decreasing order.\nAnswer: 171, 84, -4594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 11 + 194. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2407, 2350, 2291, 2230, 2167?\n\"Answer: -g**2 - 54*g + 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ess when three letters picked without replacement from {s: 2, e: 3, f: 1, b: 1, w: 4, i: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 438\/4*8*(-59)\/708.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3, u - 1 - 9 = -3*x. Let k(q) = 4*q**3 - 5*q**2 + 2*q - 4. Let w(y) = -y**3 + y**2 - y - 1. Let f(p) = x*w(p) + k(p). Give f(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 21850*u**2\/9 - 441802*u\/9 + 8204\/3 = 0. Calculate u.\nAnswer: -586, -21, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-294))\/((-2)\/(-77))*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2.2, 415, -5?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:39 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1012, 3957, 8866, 15739, 24576?\nAnswer: 35377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 849?\nAnswer: 84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(117) - (-5 + sqrt(65)\/sqrt(5))**2)*-3.\nAnswer: -84*sqrt(13) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-20)*-10*(0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 14*v - 12. Determine h(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 132969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 + 0 + 2. Let r = -6603\/20 - -2967\/5. Let w = r - 262. Is y at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -45?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -21. Let g = 3 + -12. Let j = b - g. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11946516 by 3.\nAnswer: 3982172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -14*l**2 - 19*l + 5. Let g(u) = 20*u**2 + 28*u - 7. Determine 5*g(s) + 7*o(s).\nAnswer: 2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -754828.\nAnswer: -377414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.250932 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 1870?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(-25)*(b**(-5\/6))**(5\/3))**19 assuming b is positive.\nAnswer: b**(-5225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*m + 26. List the prime factors of ((-18)\/m)\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let x(c) = -3*c + 13. Calculate 4*l(k) - x(k).\nAnswer: -k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 7978 and 7978 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t**5\/5 - 6928*t**4\/5 - 3242*t**3 + 13884*t**2\/5 = 0 for t.\nAnswer: -3, 0, 2\/3, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 71 = 1776. Suppose -q = -o + i, -4*o - o - i = -1735. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let x = -9 + 14. Let b be t(x). Solve 0 = z - b*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 16*b. Determine r(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272820887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 + 165177*t + 165174 = 0 for t.\nAnswer: -55058, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 0.4, 17, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44404506 (base 8) in base 5?\nAnswer: -4422230010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357 or 356?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:52 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112148 = -4446*l + 2330*l for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o + 126. Let x be a(-21). Solve -4*t - 13 - 7 = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9793266*k**3 - 8217280*k**2.\nAnswer: -58759596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -804 + 804. Let i be (-19336)\/45150 + (-9)\/(-21). Let m = -29\/1075 + i. Which is greater: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 57 = -4*p. Suppose -3 = 4*h - p. Suppose h*f = -f + 10. Solve -f*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrqqcpqcqqqrrqqcrp. Give prob of picking 1 c and 3 r.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8620 and 5083?\nAnswer: 43815460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1078\/(-28) - 6\/(-4)). Let w = a - -379. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 18*r**2 + 18*r - 23. Calculate d(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-48 + (-5 - -21) - 20)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 1 - 9*k + 6*k)*(-35 - k + 35).\nAnswer: 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k + p, 3*k - 4*k - 12 = -6*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most 684\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5333, -5332, -5331?\n\"Answer: g - 5334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = 4*g - 991. Let z = g + -42. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 2, l: 2, d: 4}. Give prob of picking 1 u, 1 n, and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.2. Let j = -1 + 0.93. Let s = j + 0.08. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 40 = -29*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 6*k**5\/5 + k**4\/12 - 9*k**3\/2 - k**2 + 43*k. What is the second derivative of q(p) wrt p?\nAnswer: 144*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 12*b = 5*y - 26, 23 = 3*y - 5*b for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462843387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 120017041 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 + (-1224)\/105 + 2\/(-14). Let g = f - -916\/45. Which is the biggest value? (a) g (b) 4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 2\/7, 0.5, -0.04?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 10*c + 2 = -2*a, 5*c - 5*a = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34994149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-6) + 60)*(-10)\/(-4). Let v(k) = 2*k - 4. Let t be v(4). Suppose -t*z + i = z. What is the remainder when z is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -457.84 + 1.4.\nAnswer: -456.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 39. Let b be h(0). Let y = b - 22. What is the highest common divisor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-5)\/30*0. Which is the closest to -1\/4? (a) -6 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 56*w**2 + 87*w - 1904. Calculate g(57).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = u + 105, 0 = -3*a + 2*a - 4*u - 102. Let d = a + 113. What is the remainder when 48 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*b - 271, 2*b + 3*j = 7*b - 243. Let o = b - 47. What is the common denominator of -49\/3 and -4 - (o - 183\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and -5\/218.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42\/810001 or 0?\nAnswer: 42\/810001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 66*n**2 + 2*n - 6. Calculate s(2).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 106b46a1?\nAnswer: 106b46a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18849?\nAnswer: 3, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 4*q. Let o be a(-2). Suppose 0 = 9*z - 12 + 3. Suppose z = -3*r + 10. Solve -u + 2 = -s + 1, -o*u = r*s + 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l + 9. Let f(k) = -3*k - 2. Let u(a) = -9*f(a) - 2*w(a). Let d(s) = -6137*s. Determine u(d(q)).\nAnswer: 6137*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from aaasoasooaaaoao?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*y - 20 = -362*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, 13 in decreasing order.\nAnswer: 13, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1581 - 1334 + 2352)*(4*f - 2*f - 3*f).\nAnswer: 563*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9150 - 9116. What is the remainder when 1023 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-3) - -55) + 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 150 + 159 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 21. Suppose -z*w + 9 = 3*r - w, -w = 3*r - 9. Solve -r = 5*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3690\/(-2565) - (-8)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9 + 4*m - 4*m - 4*m + 5*m. Let n be i(-6). Let c(v) = -v - v + n*v. Let a(w) = -2*w. Determine c(a(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15196*s**3 + 121564*s**2 - 136796*s + 36.\nAnswer: 4*(s - 1)*(s + 9)*(3799*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -346, -1161, -2750, -5371, -9282, -14741, -22006?\n\"Answer: -43*l**3 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 306 = -h, 2*q + q = 4*h + 1201. Let r = 536 + h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((4\/2)\/(-2))*((-144)\/24)\/(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8453 and 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 14 = 3*v, -5*v - 2*z = z - 5*z + 14 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 673 = 4*j, 0*j - j - 667 = 5*i. Let d = 12 - i. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867037941.2 rounded to the nearest one hundred thousand?\nAnswer: 867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*x**2 - 20*x + 18*x + 755*x**2.\nAnswer: 2274*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000 + 960 - 1960 - 2*m**2 - 25*m.\nAnswer: -2*m**2 - 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*m - 19, 0 = m - 0 - 4. Let y be ((-35)\/(-20))\/(g\/(-4)). Suppose -q + 0*q + y = u, 0 = -4*q + 20. Put u, -1, -2 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 980230442 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0.4, 0.08 in descending order.\nAnswer: 1, 0.4, 0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 21315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2013284, -4026569, -6039854, -8053139, -10066424, -12079709?\n\"Answer: -2013285*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 5*q**3 - 84*q + 86*q - q**3 to r + g*q**2 + b*q + m*q**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24342 - -11144123?\nAnswer: 11224020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n**(1\/2)*n)*n*n\/(n\/(n*n**(2\/13))*n)*n*n**(-3)\/((n**(-3\/5)\/n)\/n)*(n**(1\/4)*n)**(-19)\/(n*n\/n**(-3\/8)*n*n\/n**(2\/7)*n*n*n) assuming n is positive.\nAnswer: n**(-104051\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 951221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -253472.\nAnswer: -177430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -3*t, 0*i = -2*t + i + 5. Let w = 15 - 11. Which is the closest to 0? (a) -1 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/24 + 115*i**4\/48 - 615*i**3\/2 + 2230*i**2. Factor n(k).\nAnswer: 5*(k - 18)*(k + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 + 3)*(0*t - t + 2*t)*(0 + 0 + 1) in the form b*t + j and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d - 0. Suppose 0 = g + d*j - 25, g - 7*j - 9 = -4*j. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3588830 + -5894791. Let u = 2305962.700023 + y. Let v = 1.7 - u. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(6\/11)*u*u*u**14*u assuming u is positive.\nAnswer: u**(204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a (base 13) to base 8.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 5*y**2 + 5*y**2. Let u(x) be the second derivative of -x**4\/6 + x. Calculate k(u(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-78)\/(-780))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -404 + 406. Let z(j) = 7*j - x*j - 2*j - j. Let b(q) be the third derivative of q**5\/10 + 2*q**3\/3 + 2*q**2. What is z(b(k))?\nAnswer: 12*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14*x + 46. Let p(z) = z + 1. Determine -g(c) - 12*p(c).\nAnswer: 2*c - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) -0.3 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970792.\nAnswer: 2, 246349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12320 - 24647 + 12327 - 6*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -n + 20, -14*c = -9*c + 20. Suppose 3*g + r - 3*r - 52 = 0, -2*r - n = 0. Solve -4 = -3*x - g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from zyzbybzrz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6249427953?\nAnswer: 3, 17, 173, 708311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = s - 9, -p + 5 = s - 0*s. Let y be (-3 - -2)\/((-7)\/(-21)). Let o = y - p. Sort o, 1\/5, 1\/9 in increasing order.\nAnswer: o, 1\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + 66. Let o = 0 + 14. Calculate the greatest common divisor of o and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.2 - 0.8. Let g = 1.3 - 1. Let r = g + -0.8. Sort c, r, -1 in decreasing order.\nAnswer: r, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from hdtdhdtttt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let i(z) = -1185*z**2. Calculate i(s(t)).\nAnswer: -4740*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 15. Suppose 2*s - 10 = 0, -4*s + 20 = -a*l - 2*l. What is the second biggest value in -0.1, l, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1.3446 (c) -6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, -161, -689, -1709, -3383, -5873?\nAnswer: -9341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903066, 1806134, 2709202, 3612270, 4515338, 5418406?\nAnswer: 6321474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.5 - 8.441. Let o = i - -0.941. Let q = -0.13 - -5.13. Sort q, o, -2\/5 in decreasing order.\nAnswer: q, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**0*l)**(29\/3))**(-4\/3))**14 assuming l is positive.\nAnswer: l**(-3248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6 - (-9)\/(-15)*-5.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4 - 8 + 173*s**2.\nAnswer: 173*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0449*-18.49726\nAnswer: 0.830526974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + 0 - sqrt(605))*-5)**2.\nAnswer: 15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:38 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 times -9?\nAnswer: -7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844956853?\nAnswer: 13, 64996681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = 5*h + 100, 4*d + 32 = -10*h + 173 - 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s. Let w(v) = 4*v**2. Determine w(y(t)).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 5*j + 7. Suppose 0 = 3*m + 2*b + 20 - 5, -5*m + 5*b = 50. Let s = m + 2. Let o(r) = 2*r**2 - 4*r + 6. Determine s*o(y) + 4*d(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*k**2 - 5*k**2 - k**2 + (-2*k**2 + 3 - 3)*(4 - 3 + 1) - k**2 + k**2 + 2*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/3 + 1175435*y\/3 = 0.\nAnswer: -1175435, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**3 - 2\/35*w**5 - w + 0*w**2 + 0 - 2\/147*w**7 + 0*w**4 - 2\/35*w**6. Factor z(h).\nAnswer: -4*h**3*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29891\/14314*68\/2\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6 = 0, -4*s + 3*h = -0*h - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -7*t**3\/6 + 30*t**2 + 4432*t. Give n(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 5 - 5)*(5 - 3 - 3)*(2*p - 2 + 2).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7524.297 - 7528. Let n = 0.437 - b. Let c = -0.14 + n. Put c, -2\/5, 0 in increasing order.\nAnswer: -2\/5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - c - c)*(-11*c**3 + 91*c**2 - 91*c**2) - 15*c**4 + 6*c**4 - 7*c**4 - 6*c**4 + 0*c**4 - 2*c**4 to a + f*c**4 + v*c + h*c**3 + s*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(5\/30). Suppose 61 = m*i + d, 4*d + 38 = -3*i + 100. What is the second derivative of -i*u**2 - u - 6*u - 4*u**2 + 7*u**2 wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 + 10 = 0. Suppose 2*t = -s*y + 4*t + 13, 4*y + 5*t = 2. Suppose -5*g + 2*l + 61 = 0, y - 1 = g + 3*l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 4*o. Suppose 3*q + o*q = 0. Suppose 0*t = -5*t - 5. Is q at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 44 = -5*a, -4*b - 3*a = -27 - 9. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*u - 7261601 + 7259920 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4783, -4799, -4823, -4861, -4919, -5003, -5119?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3892*y**2. Let i(h) = -3*h**2 - 59. Give i(f(c)).\nAnswer: -45442992*c**4 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*w + 25 = 0, -2*l + 21 = -2*w - 37. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Suppose -v = -2*i + f - 16, 3*i + v = -13. Let s(c) = 7*c**2 + 5*c + 5. Let b = -96 - -99. Let r(u) = 4*u**2 + 3*u + 3. Give b*s(k) + i*r(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyjmyqomjjyyq. What is prob of picking 1 q, 1 j, and 2 y?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001000 + -1000000011001?\nAnswer: -110110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 3847937094?\nAnswer: 3847937093.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1836)\/132 + 4\/22*10\/(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2436912564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 - 2*h. Let w be g(-4). Which is greater: w or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 5*b. Let r(t) be the first derivative of 2*t**3 + 559. Give r(f(p)).\nAnswer: 6*p**4 - 60*p**3 + 150*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (-114 - 24\/(-4)). Which is bigger: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620324191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 - -649. Let z = x + -437. Solve z = 46*w - 51*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4218 rounded to 2 dps?\nAnswer: -20.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 920150?\nAnswer: 920150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4554 = -30*r + 114. Let w = -152 - r. Which is smaller: 32 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j - j)*(18*j - 6*j + 27*j + (2*j + 1 - 1)*(-3 + 1 + 3)).\nAnswer: -164*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 13*z**4 - 2*z**2 - 2 + z**3 - 15*z**4 in the form q*z**4 + o*z**3 + f*z + d + y*z**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*q - 10, 0 = 2*q - 6*q + 3*h - 6. Suppose q = -2*b - 6 + 166. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 835 + -1439. Is ((-98)\/(-56))\/((-1)\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:15 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 3.8, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1628675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120212211110012000 - 10?\nAnswer: -1120212211110012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 598 = 3*w. Let o be (-2)\/(-7) - w\/(-1120). Let f = o + 1\/20. Which is greater: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from ddqdqdddxdddqddd?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10818236 and 23603424.\nAnswer: 259637664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 20 = -5*s, 4*s = 2*t - t - 20. Suppose 11*i = 15*i - t. Solve -i*n - 4 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-2) + -1)\/(146\/2563760)?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 146935.\nAnswer: 1616285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from zkxuxqucxkxxxxx?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 193 (b) -7 (c) 4 (d) -1\/5 (e) -2 (f) -5 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18480 is divided by 992.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034501414 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1094*q**6 - 18*q**4*t + 2*q**3 - 2049*q**2*t - 5*q*t wrt q?\nAnswer: 131280*q**3 - 432*q*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 486451666 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/((-13)\/33) - (-1 - -3). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:22 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3542)\/63 + 55 - 4\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - -307. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 times 1.2102\nAnswer: 0.399366","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 3, j: 4}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(19\/6)*a**(-32)*(a*a**15)\/a**(-24) assuming a is positive.\nAnswer: a**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/29 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 108368031964.63.\nAnswer: -108368031968.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(112) - sqrt(112)) + 4 + (sqrt(112)*-1 - sqrt(112))*-1 + sqrt(112) - -5*(-1 + 5 + -1 + sqrt(112)))**2.\nAnswer: 1520*sqrt(7) + 11562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 25 = -5*a. Suppose a*f = 15*f. What is the nearest to f in 4\/5, 4, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 1468*(-10)\/(-40) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-560)*7*((-1120)\/170)\/(-14).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -24. Let t(j) = -3*j + m*j**2 + 3*j - 4*j**2. Let x(s) = -s. What is t(x(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -42*s**3 - 11*s**2 + 2*s - 2. Let w(y) = -216*y**3 - 54*y**2 + 11*y - 11. What is 2*w(d) - 11*z(d)?\nAnswer: 30*d**3 + 13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 1, m: 5, r: 1, n: 3}. Give prob of picking 1 m and 1 r.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4 - 3010*d**3 - 236339*d**2 - 4203120*d + 14817600 = 0?\nAnswer: -40, 3, 3087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 p when three letters picked without replacement from pwnpkpnppbpkybn.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10136 - 9405. Calculate the highest common factor of w and 1978.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 86?\nAnswer: -85.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 + 3*k + 3. Give i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -469950 divided by -6\nAnswer: 78325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*l - 4*z, 684*l - 16 = 688*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r + 143*r + 2 - 2.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(152) - (sqrt(152)*2 - sqrt(152)))*5)\/((sqrt(392) - sqrt(392)*-1) + sqrt(392) - sqrt(392)) - (-3 + (sqrt(171)*-5 - 1*sqrt(1216)))*4.\nAnswer: 16 + 92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2. Let t be v(-4). Let r = 10 - t. Let x be (-4)\/(-10) + r\/5. Solve k = -2*k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.310333 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -18445 + 9260 - n + 9246 in the form m*n + d and give d.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 195*a + 378.\nAnswer: 3*(a - 63)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54031898 to the nearest integer?\nAnswer: 7351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -218.8463 * 1\nAnswer: -218.8463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from baantannnanitnnnan.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 2*j + 5*j + 5*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((((((a*a*a**(-1)*a)\/a)\/a)\/a)\/a)\/a*a))\/a*a*a**7\/a*a*a**(3\/4)\/(a\/(a*a**(2\/7))))\/(((a**0*a)\/a)**(2\/7))**0 assuming a is positive.\nAnswer: a**(309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 3. Let r be y(0). Suppose -r*g = -4*o - 7*g - 8, -2*g = 5*o - 2. Suppose -o*v = 5*l - 177, -4*l - 61 = -v + 34. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31371 + -533309\/17. Which is the second biggest value? (a) -5 (b) g (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/5 - 1631*d**3\/5 - 29142*d**2\/5 - 34884*d - 348408\/5 = 0.\nAnswer: -1613, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147*l**3 + 95843*l**2 - 432491*l wrt l.\nAnswer: -882*l + 191686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6\/j)\/j)**(-32) assuming j is positive.\nAnswer: j**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {z: 6, l: 1, n: 3, a: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 28*v - 10. Give j(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f - 31. Let a(x) = 14*x - 31. Let v(q) = 5*a(q) - 4*s(q). Let b be v(19). What is the greatest common divisor of 259 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 2. Let j be ((-8)\/(-6))\/(16\/m + -3). What is the second biggest value in j, -4\/9, -0.3, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Suppose 5 = -2*g + 5*r - 4*r, 0 = -5*g + 5*r - 25. Suppose g = 15*m - 10*m + 55. What is the remainder when v(m) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1810, 3623, 5440, 7261, 9086, 10915?\nAnswer: 12748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -74. Solve -4*p = 2*v + f, 2*p = -3*p + v - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 17. Let o = 37.7 - 38. Which is the biggest value? (a) -3\/2 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t. Let i(l) = -4*l**2 + 11*l. Let h(a) = -6*i(a) - 22*m(a). Let y(g) be the first derivative of g**2\/2 - 2. What is h(y(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c7b2 (base 14) to base 10.\nAnswer: -72872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55730906, -111461812, -167192718, -222923624, -278654530?\nAnswer: -334385436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49.5576*-0.5\nAnswer: -24.7788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/11 + 3400676*c**3\/11 - 309152*c**2 - 3400676*c\/11 + 3400674\/11 = 0.\nAnswer: -1, 1, 1700337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106577, 213183, 319789?\n\"Answer: 106606*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/19 (b) 0.1 (c) 65 (d) -0.2 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 3*m**4 + 4*m**5 + (-m - 1 + 1)*(2*m**4 - 4*m**4 + 0*m**4) + (-60 + 241 + 151)*(-2 + 2*m**5 + 2).\nAnswer: 670*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103573*y**3 + 207108*y**3 - y**2 - 103570*y**3.\nAnswer: -35*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by -17\nAnswer: 364\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 96\/521735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-7 - -9) + 0 + -7 + 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 5 - -1) + (-5 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186919.42764 + 250?\nAnswer: 187169.42764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10964 or -10956?\nAnswer: -10956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*b = 4*w - 419210, -419215 = -2*w + 3*b. Let p = w + -99615. Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uueeueuu. What is prob of sequence uu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2395, 17326, 57861, 136804, 266959, 461130, 732121?\n\"Answer: 2134*b**3 - 2*b**2 - b + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300130 - -243?\nAnswer: 300423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**2 - 2*p + 5. Let l(w) = -40*w**2 - 4. Let j(y) = -y**2 + y - 3. Let i(t) = 6*j(t) - l(t). What is 5*i(n) + 14*k(n)?\nAnswer: 16*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - p**3 - 4*p**3 + 5*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292440*k**2 + 584924*k**2 - 292454*k**2.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -17. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 104*a + 33. Let z be ((-170)\/20)\/((-3)\/6). Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Let c(n) be the third derivative of n**4\/4 - 24*n**2. Give c(h(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - 9 - 4. Let i = -4.7 - -4.4. Which is the closest to 1\/8? (a) g (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 21*l - 90. Let t(h) = -3*h**2 + 22*h - 81. Let y(p) = -13*r(p) + 14*t(p). Give y(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.56 + -1.86. Let p = 2.12 + m. Sort p, 3\/7, -0.5, 4 in descending order.\nAnswer: 4, 3\/7, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7367, -7533, -7799, -8165, -8631, -9197, -9863?\n\"Answer: -50*u**2 - 16*u - 7301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 1)\/(1\/((-165)\/(-6)))?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 13*j**2 - 20*j - 20. Let i be s(-10). Let u = 226 + i. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -30. Let c(l) = l**3 - 9*l**2 + 2*l - 10. Is c(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 102. Differentiate 3 + 4 + 17 - i - 40*m**3 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:45 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 10*u - 391*u**2 - 12*u to k + j*u + x*u**2 and give x.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35\/13 (b) 0.5 (c) -72 (d) -2\/9 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0322556209909 - 1?\nAnswer: -0.9677443790091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 56*x - 234. What are the prime factors of k(23)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 23.979.\nAnswer: 71.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, z: 2}. Give prob of picking 2 z and 2 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*l**2 - 7*l + 15*l**3 + 33*l**2 - 64*l**2 wrt l?\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -1945, 99, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 7*a - 142 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1056050, 2111946, 3167842?\nAnswer: 4223738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 436, 1206, 1970, 2728?\n\"Answer: -3*j**2 + 779*j - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 - -3 - (-353 - -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 4:12 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -15, 11, 45, 87, 137, 195?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6417 - -12833\/2. Which is the closest to 2\/7? (a) t (b) -12 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-12) + 328\/6.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*o**4 - 13\/2*o**3 + 0 + 2*o + 2*o**2 = 0. What is o?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 - 9*p - 52. Let k(l) = 3*l**2 + 4*l + 24. Let n(s) = 9*k(s) + 4*z(s). Let f(o) = 15*o. Determine f(n(t)).\nAnswer: 45*t**2 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*x + 2*t + 37 = -222*x, 0 = x - 3*t - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c**2 - 23*c - 74. Let w(f) = 9*f**2 - 15*f - 48. Let n(z) = -8*w(z) + 5*y(z). Let p(u) = u + 1. Calculate -n(q) + 3*p(q).\nAnswer: 2*q**2 - 2*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-612 - 841 + 1162)*(2*o**4 + 2*o**4 - 3*o**4).\nAnswer: -291*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1c279 (base 14) to base 4\nAnswer: -101202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -173, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 9*m. Let t(f) = 1644*f**2 - 1296*f + 1. Let p(g) = t(g) + 3*v(g). What is the second derivative of p(l) wrt l?\nAnswer: 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 21699*g - 86818. What is c(-4)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 8456*o + 4468996.\nAnswer: 4*(o + 1057)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.900098 milliseconds to minutes.\nAnswer: 0.0003316683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2))**(-26\/5) assuming o is positive.\nAnswer: o**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*15582066.\nAnswer: 2025668.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82273*x = -5*k + 82278*x, -4*k - x = 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 15549 - 36965 = -49*f. What is the greatest common divisor of f and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**6\/60 - 7*h**3 - h + 1. Let s(y) be the second derivative of a(y). Let k(v) = -5*v. Give k(s(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 95 + 105 = 0. Let a = k - -138. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -64*w + 73*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*g - 1077 - 397 = 1702 + 652 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/o**(-7)*o)*o*o**(-7)*o\/(o\/(o**(-7)\/o))*o*o**(-4) assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 10*j**2 - 3*j - 10. Let l = 26 + -21. Let m be s(l). Let n be 16\/20*m\/4. Which is bigger: -31 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times 0.3?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 69.6 and -95170.\nAnswer: -95100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Suppose -3*b + 4 = -11. Let q(g) = g + b - 4*g - g - 2*g. Give -11*i(y) - 2*q(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001 - 100101?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l**2 + 144 - 566 + 140 + 137 - 59*l**2 + 145.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/194 and 137\/120.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 1, i: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = w + 11, 0 = -7*k + 2*k - w - 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.38 - 0.12. What is the third smallest value in 5, r, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -338 + 336 - (2 + 1 + 28)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 28 = -4*m - 6, -m + 5*t + 19 = 0. Suppose 5 = 4*a + 3*j, 2*a - 4*j = -10 - m. Is (-2826)\/12*(5\/(-3) - a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 46. Let n be g(3). Suppose n*z = 10174 - 1862. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.983 + -0.017. Let u = f - -22. Which is the nearest to u? (a) 5 (b) 4\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114966359 and 111.1?\nAnswer: 114966247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7687*m. Let j(p) = -161*p + 1. Give j(a(t)).\nAnswer: 1237607*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 11*f - 7. Let d be l(-8). Let y be -3 - ((-9)\/3 + d). Let v = 71 + y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*s = -3*p - 6, 4*s = -4*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -43*t**3 - t**2 + t + 1. Let g(d) = d - 16. Let y be g(15). Let w be r(y). What is the greatest common factor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13, 2\/13, 1.5, -3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 5:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5536 (b) -3 (c) 0.5 (d) -2 (e) -4 (f) 3 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:30 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.4249 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-110)\/(-264)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.94 + -0.06. What is the smallest value in k, -2\/7, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831297762.\nAnswer: 2, 43, 1097, 30011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-410)\/(-40) - (-3)\/(-12). Let j = 17 - w. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2\/15, 10, 4, 0.403 in decreasing order.\nAnswer: 10, 4, 0.403, 0, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18080 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 6 = 19*t. Suppose 4*s + 43 = t. Let r = s + 162. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 55307 = 184645. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 (base 4) in base 13?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*z**2 - 37*z**2 - 5*z + 5*z.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:15 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 34*m + 2. Let b(r) = -34*r - 2. Let i(w) = 6*b(w) + 5*c(w). Let v be i(2). Let s be ((-4)\/(-10))\/((-7)\/v). Solve -s*h + 25 = h, h + 1 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -d + 2937, 24*t = -4*d + 22*t + 11678. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*5 - ((-75)\/135 - 44\/99). Solve y = 2*n + t + 7, -3*n - 2*y = 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - z**2 + 8129*z + 0*z**3 + 2*z**3 + 8 - 8116*z + 0*z**3 as c*z**3 + s*z**2 + p + f*z and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209612316.\nAnswer: 2, 3, 479, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*v = 417*v - 6, 0 = -g + 2*v - 10. Which is the second biggest value? (a) 1 (b) 4 (c) g (d) 0.48 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253*g**3 - 6263*g**3 - 6926*g**3.\nAnswer: -15442*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 25548210.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggagag?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + r + 265 = -373, -2*p = 4*r + 422. Let f = p - -450. What are the prime factors of f?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n**2 - 3 + 3)*(17*n - 82*n + 17 - 850*n**2 + 849*n**2) as a*n**3 + s*n + h*n**2 + g*n**4 + k and give h.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 2. Let q be x(0). Is 15 a factor of (-2 - 28)\/(q - (0 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 12:01 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 123225980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000712680979 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-7 + 13)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**7\/8820 - m**6\/2520 + m**5\/210 - m**4\/4 + 2*m. Let q(u) be the third derivative of h(u). Factor q(p).\nAnswer: -2*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - t - 2)*(1 + 0 + 0) + 159*t - 233*t + 3 + 83*t + 4*t + 0*t - 3*t + (-3*t - t + 6*t)*(-2 + 4 - 3) + t - 4*t + t as c + x*t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145724257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617 = -93*s + 150 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 6) + 10 - (-4 - 0). Let f(k) = 3*k - 5. What is f(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21399 and 2667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by -89.\nAnswer: -172\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/8 + 1\/((-4)\/(-2)). Solve u + t = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 124826730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 20.00000277. Round j to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6254767, 12509538, 18764309, 25019080, 31273851?\nAnswer: 37528622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + 0 + -6 - (1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -2468 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/3)*m**(-1\/18))**43)**49 assuming m is positive.\nAnswer: m**(-65317\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 128 = 2*f. Let g = f - -29. What is the remainder when g is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2\/3 - 589*r\/3 - 2695\/3.\nAnswer: -(r + 5)*(10*r + 539)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*v - 338 + 200 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4988, -19938, -44854, -79736?\nAnswer: -124584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9441 + 9449 = -4*q, 4*o = -5*q - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i - 19*i + 61*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhzidhzddzhefeehi. Give prob of sequence edee.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 65, -1, -0.3, -3, -118, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 20467*a - 82 - 20467*a in the form s*a + b*a**2 + c and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(171) - -2*sqrt(171)) - 4*sqrt(171)*1)\/(sqrt(45)\/sqrt(5)*-2 - (sqrt(9) - sqrt(144)*2))*2.\nAnswer: -44*sqrt(19)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96555021, 96555016, 96555011, 96555006, 96555001, 96554996?\n\"Answer: -5*z + 96555026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(200))**2 + 0)*-4.\nAnswer: -784 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/7 - 4*l**2\/7 + 30*l\/7 = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 5*l - 12 = 0, -4*j - 4*l + 12 = 0. Suppose j = -3*p + 9. Let x = 46 - 35. What is the lowest common multiple of x and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4634 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 + 24*t**3 - 128*t = 0?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(2*-1*sqrt(5))*-1)\/((sqrt(2430) + sqrt(2430)*2 - sqrt(2430))\/(1*sqrt(490))).\nAnswer: 7*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78174 - 27994. List the prime factors of i.\nAnswer: 2, 5, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 61 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-572)\/55 - -9)\/((-8)\/(-20))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11329464 and 33.\nAnswer: 124624104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405766303 and 5431.\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 8:57 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(2368\/2668) + 18*-10*16\/320.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 35.7. Which is the biggest value? (a) 1 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2838813 (base 10) to base 12\nAnswer: -b4a9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 21*k - 156 = 0. What is the highest common factor of k and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Let z = 23 - 14. Let p = z + 0. Calculate the highest common divisor of v and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1086\/(-273) + -6 - (-34)\/(-1547)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.808 + 9.108. What is the closest to 394 in 1\/7, u, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - n**2 + n - 3 + 2 + n**3. Let b be t(-3). Let c(j) = 0*j**3 + j**3 + 4*j**2 - 199357 + 199362 + 2*j. Give c(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, r: 12, j: 2}. Give prob of picking 1 j and 3 o.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/13*(4186\/28)\/23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56463*d - 299133 with respect to d.\nAnswer: 56463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-300)\/90)\/(2\/(-11391)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b + 1217*b - 125*b - 1336*b.\nAnswer: -304*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 6*l**2 + 3*l - 3. What is the tens digit of h(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 64*x**4 + 770272*x**3 - 1155516*x**2 + 433328*x - 48148 = 0.\nAnswer: -12037, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -69*d - 3. Let w be t(-3). What is the greatest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2288*y**3 - 5*y**2 + 5*y - 618. Let g(o) = -1144*o**3 + 3*o**2 - 3*o + 309. Let r(w) = 15*g(w) + 9*x(w). Find the first derivative of r(p) wrt p.\nAnswer: 10296*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*v**2 + 20\/7*v - 16\/7.\nAnswer: -4*(v - 4)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5575625 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1398 or 1391?\nAnswer: 1391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*f - 13 = -0*u, 0 = -4*u - 2*f + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30 - 36 + 83)*(4*d - 2*d + 3*d) to the form k + y*d and give y.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 837*l**2 - 5*l - 2. Let q be (-69)\/(-21) + (-12)\/42. Suppose -q*t + 11 = -7. Let r be v(t). What is r rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555 times -9174\nAnswer: -5091570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/51 + ((-2 - -3) + -3 - -1). What is the fourth biggest value in n, 0.5, 6, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 91 = y, -295 + 801 = 5*y - 2*o. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {r: 1, t: 6, b: 9, q: 3}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 77 = -3*t - 59 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-50)\/(-325) - 30\/26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 15*t - 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3 - 3. Let g be 2 + 2\/f - (-4 + 1). Solve 0 = 3*p + 15, -g*q - 26 = -2*q + 4*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s. Let d(a) = -3*a**2. What is v(d(f))?\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a. Let v(g) = -6*g**3 - 5 + 2*g + g + 4 - 7*g. Let y be (88\/11)\/(-2 + 4). Give y*t(x) + v(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 2. Let z be w(5). Let i(h) = -2*h**3 + h**2 + 4*h + 2. What are the prime factors of i(z)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-17 + 38) - (-58 + -5 + 15).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8))\/(s**(-4)*s) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)\/(c**(2\/33)\/c)*c**(-20)*c**(-2\/13) assuming c is positive.\nAnswer: c**(-629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.001 - -0.999. What is the closest to r in 0.5, 0.6, -0.2, -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011550404602 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19 - 1)*(-10)\/(-140)*7. Solve 6 = -11*r + u*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2 - -1*4). Let b(r) = -r**3 + r**2 + 2*r. Suppose -4 = 5*k - 14. Let c = 0 + k. Let o(n) = n**3 - n**2 - 3*n + 1. Determine c*o(l) + h*b(l).\nAnswer: -l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177134983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 20. Let n be g(14). Let c be 10\/n + 3\/9. Suppose c*k - 8 = -2*k. Solve k*j = -j + 5*o, -4*o - 27 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 - -257. Calculate the greatest common factor of 70 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 1606864*d**3 - 68 + 3*d**2 - d + 1606858*d**3 to x + k*d**3 + o*d + m*d**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexxxeezzcx. Give prob of sequence xe.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23480740 rounded to the nearest ten thousand?\nAnswer: -23480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 200\/9 (b) 1\/6 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421258188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/(r\/(r\/(r*r*r**(3\/7)))))\/r*r**(-3\/4))**(29\/2)*(r**(2\/3)\/(r*r**(-7\/3)))**(21\/8) assuming r is positive.\nAnswer: r**(149\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 781906656 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*t = -0*t + 36, -3*t + 117 = 3*g. Let c = g - 33. Solve -p - p = -3*l - 1, 26 = -2*l - c*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let j(i) = 22400161*i**2. Calculate j(o(z)).\nAnswer: 89600644*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 - 20*v**2 + 197*v - 528. Determine d(4).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4971, -9943, -14919, -19899?\n\"Answer: -2*d**2 - 4966*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/10)\/(z\/z**18) assuming z is positive.\nAnswer: z**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 = 16. Let q = -5 + g. Suppose 0 = -q*k + 3*k - 1. Which is greater: k or 1\/12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 682689 and 4.\nAnswer: 2730756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - l - 2*l - 4*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w - 7. Let t be m(14). Let d = t + 49. Suppose 3*b + 1170 - 5019 = d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4989 - 617 + 1382)*(-g - 1 + 1).\nAnswer: -5754*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -36. Solve d - 6 = 3*g - 0, -4*d = 2*g - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 787232 and 86272?\nAnswer: 6297856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {t: 5, c: 1, q: 3, o: 1, v: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/16)\/(69\/(-3266)) and -1\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -198 in 25, -1\/8, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 25.5. Let p = n + -2.5. Let d be ((-6)\/468*3)\/((-4)\/16). What is the nearest to -1 in p, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -1807, -4090, -7287, -11398, -16423?\nAnswer: -22362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(-2*sqrt(32) + sqrt(32)))\/(2*sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195*p**3 + 89*p wrt p.\nAnswer: -1170*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/16 + 6\/8. Solve 5*j - 15 = m*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3)*(-30)\/70*-7. Suppose 0*a + 5*i + 925 = 4*a, 0 = 4*a + p*i - 880. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. Suppose -2*x - 1 - 3 = -2*i, 3*x = -4*i + 22. Suppose -3*t - 4*n + 12 = -9, -28 = -i*t - 2*n. Solve p - 6*p - 2*h = -t, 3*h = -2*p - s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/5 - 8184*w**2\/5 - 960986*w + 9642612\/5 = 0. Calculate w.\nAnswer: -3381, -713, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9509 and -438371.1?\nAnswer: 428862.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 12) to base 7.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*g = -9328, 0 = -a - a + 4*g + 4670. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.928 and 0.2?\nAnswer: -3.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, g: 5}. Give prob of picking 3 h and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*k**3 - 3\/2*k + 3\/2*k**2 - 3\/2 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -998096?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1092950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4517353 divided by -6\nAnswer: -4517353\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 2. What is the remainder when (6\/q)\/(3\/(-72)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44 + -42)\/(-1 - -2). Let l be ((-2380)\/147)\/17 + p\/7. Which is the third smallest value? (a) 4 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56638896 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -2.11. What is the second biggest value in -2\/11, 0.3, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1531?\nAnswer: 4\/1531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575269431 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-480579\nAnswer: -144173.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52835222383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25797023.\nAnswer: 7, 3685289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 1440 = -6*s. Let x = 14 - 14. Solve x = 3*o + 3 - s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgg when four letters picked without replacement from lgglgglgllggllll.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h. Let y be -1*(-2 + 0)\/2. Let j be t(y). Let x(v) = 4*v - 6. Let f be x(j). What is the greatest common factor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59961\/61 - 983. Let i = -156\/1037 - m. Let u = 6 - 8. Which is the nearest to 1\/5? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -8*r - 1087*h + 1088*h, 6*h + 27 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 47*u + 0*u.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:02 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -262*b**3\/3 - 81. Let s(j) = -3*j. Calculate x(s(y)).\nAnswer: -2358*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 3. Let a(p) = -p + 2. Let o be a(w). Let c be (-1)\/1 + (-28)\/(-8). What is the closest to -1 in o, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -19*q**5\/7 + 36*q**4\/7 + 4*q**3\/7 - 38*q**2\/7 + 15*q\/7 + 2\/7 = 0.\nAnswer: -1, -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001606 rounded to 5 dps?\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-308)\/77*(-245)\/(-14). Sort i, -5, -21 in decreasing order.\nAnswer: -5, -21, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210916 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 8)*(-2)\/(-6). Solve h = -2 - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a + 21. Let q(z) = -4*z - 10. Let v(d) = -6*b(d) - 13*q(d). Let x be v(-3). Let u = x + 74. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67311?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 114*i**2 + 223*i + 5. Calculate z(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 - 76648*y**2 = 0. What is y?\nAnswer: 0, 19162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 52 - (10 + 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1952607 divided by -650869\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(-4\/7)))*q\/q**(1\/13))\/(q**3)**(-18) assuming q is positive.\nAnswer: q**(5141\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40410 or -40406?\nAnswer: -40406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/320 + 3*g**5\/160 + g**4\/64 - 3*g**3\/16 - 342*g**2 - g. Factor y(a).\nAnswer: -3*(a - 3)*(a - 1)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 7 (c) 3 (d) 23 (e) 1\/76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ba (base 12) to base 11.\nAnswer: -956","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/4 + j**3\/3 + 3*j**2 - 6*j + 27. Does 10 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 45*q**2 + 1. Let v(r) = 4*r + 20. Let a(p) = -p - 8. Let y(k) = -5*a(k) - 2*v(k). Determine y(x(j)).\nAnswer: -135*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + sqrt(624)\/sqrt(108) - (sqrt(52) + (sqrt(52) - (sqrt(52) - (sqrt(52) + -1)))**2)*-3.\nAnswer: -10*sqrt(13)\/3 + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9876765 is divided by 2469177.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870 - 912 = 125*b - 2417 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451 - r**3 - 460 - 440 - 392 + 1743.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 + 4. Let v = -10 + 19. Let m be (12\/10)\/(v\/30). Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 32. Let n be x(13). Let t(b) = 2*b + 40. Let a be t(n). Suppose w - 18 = -5*i - 3, -a*i = 2*w - 14. Solve -i*z = 1 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 + -0.461. Which is the third biggest value? (a) 2\/7 (b) -2\/17 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 - 37 + 84 - p - 15.\nAnswer: 17*p**2 - p + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b - 10302 = 1470. Do b and -326 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1736 - 1736. Let a(f) be the second derivative of -9*f + 0*f**2 + v - f**3 + 7\/10*f**5 + 0*f**4. What is the second derivative of a(x) wrt x?\nAnswer: 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 24*l**3 - l**2 - 2*l + 3. Let h be v(2). Let d = h - 51. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/(47\/3) - (-388)\/(-124).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49247424*a**2*v - 104*a**2 + 34*a - 306 wrt v.\nAnswer: 49247424*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/((-468)\/(-8))*(-285)\/10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3 - 10*l**5 + 425*l + 46*l**5 + 127*l - 11*l**3 + 17*l**3 wrt l?\nAnswer: 720*l**3 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1242? (a) -8 (b) 0 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 9*r + 51. Find the first derivative of -15*j - r*j + 69 - 33*j + 11*j wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906772551 take away 75.2?\nAnswer: 906772475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 34*l - 4 - 25*l + 2*l - 2*l - 2*l + 0*l + 0*l + l + (2 + 3 - 6)*(-15 + 5*l + 15))*(-3*l + l + 0*l).\nAnswer: -6*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -403006.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 6*p**2 - 4*p - 2. Let b be (-137)\/(-2) + 14\/4 + -3. Let x be 3 - b\/(-18) - 5\/(-30). Calculate n(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2118840681 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:12 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -124622*h. Let s(l) = 3*l. Give m(s(c)).\nAnswer: -373866*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 531653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1055*a + 1055*a + 52*a**2)*(5*a - a - a)*(-1 - 4 + 3 + 5 + 3 - 6 - 1 - 2 + 2 + 0 - 1 + 2 + 2 - 1 - 2 + (3 - 3 - 2)*(3 - 3 + 1) + 4 - 4 + 2).\nAnswer: -156*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5046 + -536. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1624*n**2 + 1641*n**2 + n + 3*n + 0 - n - 2 as k*n**2 + u*n + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -11 (b) -4 (c) -124\/11 (d) -310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*t - 8*t + 87*t)*(-7 + 0 - 12).\nAnswer: -2223*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 8*v**2 + 13*v. Is 22 a factor of p(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 17*z**2 + 7. Let u(n) = -18*n - 109. Let k be u(-7). Let p be q(k). Is p at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 7*y + 1. Suppose 10*b = -0*b - 40. Let l be ((-16)\/(-5))\/(5\/(-50)*b). List the prime factors of m(l).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 + 89 = -10*q - 214 + 99 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4142 * 2.4883.\nAnswer: 10306.5386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 4*u**3 - 5 + 3 to the form c + o*u**2 + b*u + p*u**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1821\/5 - 5483\/15. What is the fifth biggest value in -18\/19, -0.05, u, 0.3, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (3 + -2)*2. Suppose c - 43 = -5*r. Suppose 0 = -u + 2*u - r. What is the remainder when 14 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 4.93, 8, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - r**2\/2 + 19*r - 86. Let w be n(0). Solve w = 5*y - 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.07 (b) 0 (c) 0.0242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 + 2*r + 1. Let m(c) = 26*c**3 + 10*c + 6. Suppose 224 = -5*b + 144. Calculate b*w(v) + 3*m(v).\nAnswer: -2*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -5\/4, 389.2, 0.4 in descending order.\nAnswer: 389.2, 0.4, -5\/4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from snnbnnznxnxnpbnznn?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9536 - 0.4536. Which is the third biggest value? (a) -3 (b) y (c) 575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7873010?\nAnswer: 2, 5, 419, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1152)\/88*5214\/(-1422)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(1\/2))**26*(i\/i**(-1))\/((i\/i**(4\/5)*i)\/i))**(-3\/43) assuming i is positive.\nAnswer: i**(-612\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -471*i - 451. Let j be p(-25). Suppose 35*f = 16*f + j. What is the remainder when f is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/58*(-6)\/15*2\/8.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20616745693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -509 - -535. Let r(z) = -z**2 + 28*z - 48. Let j be r(q). Solve j*p - 6*p - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/140*((-1625)\/(-75))\/13?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 613522.2ml?\nAnswer: 613.5222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75, 159, 253, 363, 495, 655?\n\"Answer: c**3 - c**2 + 80*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*f - 6 - 5*f)*(-3 + 4 + 0).\nAnswer: -8*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.6. Let v = -1912 + 1912. What is the nearest to 0 in -2, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16239185411\/3003 + 5407654. Let w = -1\/231 + h. Let t = 34.1 - 33.1. What is the closest to t in w, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13147 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/828 and -167\/240.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(3\/2) - -3. Suppose n*g + 12 = 37. Suppose 2 - g = 3*v. Put 0, -5, v in decreasing order.\nAnswer: 0, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = -67*n - 943 - 773 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(66\/(-88) + (-18)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2 + 422424*s = 0.\nAnswer: -422424, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-5)\/3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.35 and -300.92.\nAnswer: -301.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Which is the nearest to t? (a) 5\/6 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 + -131. Suppose -d - 2*d - 396 = c. Let h = d + 136. Solve -4*p + 2 = -2*j, -4*j + h*p = -p - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (10 - -1) - (104 + -109 + 2)) + 64.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-4))\/(1\/2). Let i(m) = 28*m + 16. Let c(f) = 29*f + 17. Let y(h) = t*i(h) + 4*c(h). Differentiate y(d) with respect to d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 13467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 456 = -2*j - 418, 2169 = -5*j - m. Let h = j - -9089\/21. Which is the closest to h? (a) 1\/3 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235465 (base 7) to base 15.\nAnswer: -ca1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-20)\/(-25))\/((-5)\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1251.162596 and 0.8.\nAnswer: -1250.362596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 463621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 473 - 473 + 3*k**2. Let j(t) = t - 1. Let i(v) = 2*v**2 + 14*v - 14. Let y(c) = -3*i(c) + 42*j(c). Determine y(z(n)).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(600)*2)\/(sqrt(27)\/sqrt(225) + sqrt(3) - sqrt(525)\/sqrt(7)).\nAnswer: 100*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 30 = -4*p, -3*m = 2*m + 2*p - 40. Suppose -44 = -34*r + 12*r. Let j(c) = c**2 + c + 5. Let b be j(0). Solve 3*o - u = -r + 16, -b*u = m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14040 and 180690.\nAnswer: 84562920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 5*i = 13*h + 364, -3*h - 5*i = -238. Calculate the greatest common factor of h and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670132?\nAnswer: 2, 29, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 4*n + 3. Let x be -11 - 0 - (9 - 5). Let u be 26\/(-6) - (-10)\/x. What is f(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02617 and -0.12.\nAnswer: -0.09383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097974816 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*g - 80. Suppose 0 = -4*s + 9 + 3. Suppose -2*y + 102 = s*c, -y - g = -4*c + 68. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332113 (base 4) in base 2?\nAnswer: 111110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 - t**2. Let n(m) = 4*m**2 - 2*m - 4. Let b(j) = 12*j**2 - 7*j - 14. Let y(q) = 4*b(q) - 14*n(q). Calculate y(l(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) -3\/5 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 354217, 708427, 1062637, 1416847, 1771057, 2125267?\n\"Answer: 354210*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 93*g**3 - 1 + 11 - 23*g**3 to n*g**3 + q + p*g + h*g**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444017838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b4 - -3?\nAnswer: 2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5673 is divided by 5016.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 50*b - 2232. Let n be s(45). Solve -m - 9 = -w, 14*m + 4 = n*m + 4*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**2 + 5*n**2 - 6*n**2.\nAnswer: -62*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:19 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 5649595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739418403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3945 in 7, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10971.45*-72\nAnswer: 789944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l**(-2\/3))\/(l**(-1))**(-48) assuming l is positive.\nAnswer: l**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17271\/8 + -2159. Which is smaller: -31.3 or k?\nAnswer: -31.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 3. Let c be s(0). Let x = c + 1. Solve x*r - 8 + 20 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(17) + sqrt(119)\/(sqrt(7) + sqrt(28)\/sqrt(4)) + -5 - (1*sqrt(136)*-3)\/(sqrt(392) - sqrt(392)*-3).\nAnswer: -3 + 45*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 2*n - 9, -4*h = -5*n + 24. Suppose 7 = n*y - 5. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(50) + sqrt(800) - sqrt(2)))\/((sqrt(80)*3 + sqrt(5) + sqrt(5))*-1))**2.\nAnswer: 11\/112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/((-8)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*u + 40, -2*c - 6*u + u - 23 = 0. Let z(q) = q - 5. Let h be z(4). What are the prime factors of (h + (-12)\/c)*33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = f. Let d = 2 - f. Suppose 5*x + l - 26 = 0, -d*x + 17 = -5*l - 27. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -307*n**4 + 731.\nAnswer: -1228*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 33*c + 38*c = 127979990, 2*c + 4 = 0. Round h to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -516 + 809. What is the remainder when j is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-14))\/(15\/(-105)). Suppose 0 = l*i - 45 + 25. Solve -z + 5 = -s + i*s, 15 = 3*z - 5*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4953378*y**3 - 49*y - 287733 wrt y?\nAnswer: -29720268*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3053 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a millennium in years?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804397 is divided by 2285.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 - 129*o\/2.\nAnswer: 3*o*(o - 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 + 246 + (5 - 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11196 and 4738396?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689215151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556420 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-3 + 2 - -2). Suppose -5*k = -y - 0*y - 18, s = 5*y + 15. What is the third derivative of -9*i**5 + 0*i**2 + k*i**2 + 8*i**5 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.16 + 0.26. Let x = 0.8 + c. Put x, -3, 1 in decreasing order.\nAnswer: 1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + 43. Does 9 divide 16\/i - (-518)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, 6 in decreasing order.\nAnswer: 6, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Suppose -2*w - 3*f = -4, s*f - 10 = -5*w + f. Suppose 3*q = 2*q + w. Solve 0*z + 10 = q*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*q - 380 = q, 2037*q + 203 - 285 = u + 2036*q for u.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Suppose 22 = 6*c - 2*c + i*v, 17 = c - 5*v. Solve 3*r + c = -5*q + 5*r, -4*q - 2*r = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from bddddttdttd?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -388640369067 and 17.21.\nAnswer: -388640369049.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63, -80, -97, -114, -131?\n\"Answer: -17*r - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-106 - (-166 - -62))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139869 is divided by 137126.\nAnswer: 2743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/8*2196\/(-2562))\/(28\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -36.37\nAnswer: 1.23658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - -12. Suppose -3*j - 5*y = 4, y = -5*j - 4*y - 20. Let l = j + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 14*s**2 + s + 24. List the prime factors of i(-19).\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*d + 15. Suppose 1 = -4*u - 3. Let w be (6 - 5)*(u - d). Solve 0 = 3*s - w*z - 5, 5*z + 6 - 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021131210 (base 4) in base 16?\nAnswer: -89764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4235, -4149, -4057, -3959, -3855?\n\"Answer: 3*j**2 + 77*j - 4315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450344277 to the nearest integer?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -12*f + 15*f. What is the first derivative of -f + 55*i + 40*i + 70 + 101 wrt i?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 53. Suppose -k + 14 = l. Solve -10*t + k*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161*w + 218*w + 2 + 28*w - 5*w - 3 + 3 + (2 - 2 + w)*(0 - 3 + 1).\nAnswer: 400*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*b**6 - 23*b**4 - 2*b**2 - 2*b + 304.\nAnswer: 3120*b**3 - 552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 and 65\/212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/3 - 2947924*m**3 + 8843770*m**2\/3 = 0. What is m?\nAnswer: 0, 1, 4421885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:43 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3124\/7029)\/(7*2\/3).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 126 = -3*s + 2*n, -5*n = -s + 58. Let w = -12 + s. Suppose -3*k - 3 = -30. What is the remainder when w is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(4 + 1 - 1) - 3 + 6 - 1)*(-2*q - 4*q + 4*q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 738 divided by 246\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.01669\nAnswer: 0.001669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1 + -1)\/(1 - 2). What is the tens digit of (-3 + o)*-5*(6 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, o: 6, d: 4}. Give prob of sequence id.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 665\/38*2\/20*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 2907. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2183 - 2183 + 48*b**2. Let z(l) = -l. What is n(z(r))?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -10, 1\/17 in decreasing order.\nAnswer: 1\/17, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from yfmtyyfyyyymtutff.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.2 (b) -0.4 (c) -2 (d) -2\/189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*h - 6, 11 = 2*b - 5*h - 4. Suppose b*u - 4*n = 2920, -9*n + 14*n = 3*u - 1752. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888554 - 14711446 = 3*g. Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(612\/51*1\/45)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124 * 0.106.\nAnswer: -13.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10004 - -340101\/34. What is the common denominator of -31\/22 and b?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((((-4)\/(-108))\/1)\/(2\/3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (13 - (11 - (-12 + 14)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -22*g - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 60*c + 181. Determine f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 73*c - 19 + 76*c in the form u*c + n and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21567 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 124 = -3*w + 941, 0 = v - 2*w - 522. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 6851412?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0544824 + -0.025931. Let q = m - -108.9714886. Let g = -109 + q. Round g to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32819060 - 32819063.0000001. Let u = r + 3. What is u rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + 31 + -120 + (2\/(-86))\/(4\/852)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037590 divided by 5?\nAnswer: 207518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 578 + b?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + 0.7. Let g = b - 0.05. Let y = -12232 - -12233. What is the closest to g in y, -1\/4, 2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -13*i**3\/3 + 3*i**2\/2 + 299. Determine l(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8331963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1986428, -1986427, -1986426, -1986425?\nAnswer: -1986424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -440*w. Let d(r) = -85*r + 3. What is b(d(k))?\nAnswer: 37400*k - 1320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1776, -1727, -1670, -1605?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146998277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 14) + (0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-6\/5)*s)*s)**(-1))**(3\/35))**(4\/7) assuming s is positive.\nAnswer: s**(-132\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225231 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3654*r - 4565*r + 79257 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k + 856 = 2 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1646, 3303, 4960, 6617, 8274, 9931?\n\"Answer: 1657*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from {u: 1, z: 2, o: 2, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 13*c**4\/24 + 115*c**3\/2 + 3*c**2 - 18*c. Let n be d(-26). Solve 0 = 5*r - b + 30, 3*r + 2*b + n = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31822 - 25086. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - (19 + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 27*z**2 - 39*z - 41. What is the tens digit of t(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 29)*(9*p + 10*p - 7*p) + (2 - 1 + 1)*(-27 + 27 - 23*p) to q*p + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51ac + 10?\nAnswer: 51bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*16\/(-84). What is the closest to 0.2 in h, -0.4, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 78*v - 379 = 164*v - 84*v, -r + 4*v - 89 = 0 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*(-12)\/14. What is the closest to u in -0.5, 0.3, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:47 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23b + 4?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12245072 to the power of 1\/2, to the nearest integer?\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.94 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d + 2*d)*(-d**3 - 1 + 1) - 2*d**2 + d**4 + 2*d**2.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21071697916 - -800?\nAnswer: 800.21071697916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/4 + 69*z**3\/4 + 749*z**2\/2 + 3315*z + 10450 = 0.\nAnswer: -38, -11, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 191.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s - 6. Let z be r(6). Suppose 0 = 1485*x - 1345 - 9086 - 4419. What is the highest common factor of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76769 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5671, -11325, -16965, -22597, -28227, -33861?\nAnswer: -39505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75022595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4511*0.5\nAnswer: 2255.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -65. Calculate the highest common factor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -69*n**3 + 416*n**2 - 9*n - 4. Give v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 20 = 0. Suppose 0*g - 4*g - 4 = -s*q, -5*q = 2*g - 19. Let p(n) = 5*n**2 + n + 2. Is 24 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 126*f + 603. Calculate m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -366 + -9687?\nAnswer: -10053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21144 (base 8) to base 15.\nAnswer: -291e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 989 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(-3*l - l + 3*l) + 1208*l**2 + 103262 - 103262 + (-4*l**2 + 4*l**2 - 2*l**2)*(2 - 6 + 3).\nAnswer: 1211*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v - 1. Let b be o(-3). Let t be 4\/14 - 108\/(-14). Suppose 12 = y - 2*c, -b*y + 2*c = -8 - t. What is the remainder when 11 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from vbeye.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -359*k + 12021. Give c(34).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 8*a**2 - 22*a - 1. What is i(11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 142\nAnswer: 11.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 6 = 0. Differentiate 12 - j - 13 + y*j**3 + j wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 229 and 0.1333.\nAnswer: 30.5257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 8. Give h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.45. Let f = -90 + 133. Let x = f - 89\/2. Which is the closest to 1? (a) 1\/8 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557998 and 3402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 23*j**2 + 2*j - 80. Calculate k(23).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 + 5*f**2\/2 - f. Let k be l(-4). Let p = 2 + -6. What is the smallest value in p, k, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 241*f - 81. Let p be n(8). What is the highest common factor of 43 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9826 (base 14) to base 15.\nAnswer: -7bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 + 24*p**4 + 66*p**3 + 84*p**2 + 51*p + 12.\nAnswer: 3*(p + 1)**4*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353160, 706320, 1059480, 1412640?\nAnswer: 1765800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 6780 + 6780 + 2*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51092 is divided by 132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = v - 3*d, d = -2*d - 12. Solve 9 - 34 = -v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 0*v**2 - 1\/3*v**3 - 4 + 0*v. Let k(m) = -4*m**2 + 4*m**2 + 3*m**2. What is j(k(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 3503, -4, 2\/19, 19?\nAnswer: 3503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(605)*1 + -4).\nAnswer: -22*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/50 + 1)*-5 - -17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0057 (b) -3 (c) -30066 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 13) in base 15?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5381 times -41\nAnswer: -22.0621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**2 + 1. Let f be l(-1). Let x(c) = c**3 + 3*c**2 - 13*c - 6. Let y be x(-5). Let p = y - f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -2.95. Let u be 5 + (-4)\/(-24)*-31. Let z = 3 + -7. What is the closest to o in z, u, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -90, -134, -178, -222?\n\"Answer: -44*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27866 + 1?\nAnswer: -27865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -350147.74 + 80?\nAnswer: -350067.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2617*h**3 - 20*h**2 + 15. Let b(q) = 4*q**2 - 3. Calculate 10*b(s) + 2*w(s).\nAnswer: 5234*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 - 228. Let a(x) = -6*x**2 - 2*x + 2. Calculate a(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -0*y + 68. Let s(q) = -281*q - 54. What are the prime factors of s(y)?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**(2\/11))**(2\/9) assuming w is positive.\nAnswer: w**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14439 and 4?\nAnswer: 57756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1183, -1231, -1279, -1327, -1375?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 4, 9, -2\/11, 775?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9315269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 592, 1194, 1796, 2398?\n\"Answer: 602*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33696556 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517807 is divided by 149?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*f + 5*n = 10, f = 4*n - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.15808 or -31\/63?\nAnswer: 0.15808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162, -125, -60, 33, 154?\n\"Answer: 14*h**2 - 5*h - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10735602.\nAnswer: 2, 3, 17, 105251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, g: 1, l: 11}. Give prob of picking 3 l.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 4*p + 5, 0 = 7*j + 2*p + 9 + 36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*f)*(-2*f**2 - 1 + 1 + (-2*f - 3*f - f)*(3*f + f - f) - 2*f**2 + f**2 - 2*f**2).\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16044 - 25664. Let a be 3\/(w\/4816 - -2) - 0. Let y = a - 563. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**3 + 11*s**2 + 16*s + 48. Let q(y) = 2*y**3 + y. Let u(h) = -m(h) - 3*q(h). What are the prime factors of u(-5)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 53*h**4 - 2*h**2 + 44 + 0*h**2 + 37 to y + t*h**3 + z*h**4 + f*h + o*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 191598*z + 19734602. Give r(-103).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58631 != -58631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**22)\/(a\/a**13))**32 assuming a is positive.\nAnswer: a**1120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**6\/900 + z**5\/150 + z**3\/2 + 5*z**2. Let p(u) be the first derivative of s(u). Find h such that p(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 + 703. Is b(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-65 - -33) - (-58 + 2)) + -5 - -3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/96? (a) -7 (b) -0.3 (c) 2\/7 (d) -2.9 (e) -0.115 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.14 - -692\nAnswer: 696.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2 + sqrt(19) - sqrt(19) - sqrt(19)) + (sqrt(19) - 2*(sqrt(19) + -1)).\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67578032 to the power of 1\/2, to the nearest integer?\nAnswer: 8221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 367693 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 130, 155, 188?\n\"Answer: 4*z**2 + 5*z + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60292.63 rounded to the nearest 10?\nAnswer: 60290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4023, -11583, -24181, -41817, -64491, -92203, -124953?\n\"Answer: -2519*v**2 - 3*v - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 724*f. Let t(j) = -2*j**2. Give t(p(v)).\nAnswer: -1048352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 0 - 39\/20*o**5 + 3\/2*o**2 - 91*o + 13\/6*o**3 + 0*o**4. Find the second derivative of i(q) wrt q.\nAnswer: -234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11116855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose 0*v - 5*t = -4*v + 14, -3*v - 4*t - 5 = m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-532)\/(-38))\/((8\/(-4))\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let j(w) = 12971*w - 654. Let a = -239 - -234. Let c(u) = 99*u - 5. Let d(h) = a*j(h) + 654*c(h). Determine g(d(q)).\nAnswer: -218*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14936 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/20 and -11\/75380.\nAnswer: 75380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1082*d**5 - 3270*d**2 + 2.\nAnswer: 64920*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3005*a**2 + 5937890*a - 19760 = 0. What is a?\nAnswer: 2\/601, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117, 319, 767, 1545, 2737, 4427, 6699, 9637?\n\"Answer: 14*c**3 + 39*c**2 - 13*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 - (-39 + 18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 7488?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from {q: 7, y: 6, p: 6}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*m - 10, 0 = 2*k - 2*m - 2 + 6. Let w = -1978 - -1978.2. What is the closest to -2 in k, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42b84c9b + 2?\nAnswer: -42b84c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2089*j + 7704 = 2107*j. What is the remainder when 1312 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 53 = -43*y + 341 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*y - y + 676, y - 469 = -2*w. Let n = -115 + w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9896*r + 8. Let b be g(6). Let a be (-2)\/(-3) + 508102\/3. Let w = a + b. Round w to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(13) + -1)**2 + 1).\nAnswer: -45 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3*j))**(2\/53)*(j\/(j**1*j))\/(j\/((j*j\/j**(-5\/3)*j)\/j)) assuming j is positive.\nAnswer: j**(247\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/12 + 10\/(-20). What is the nearest to 3 in 2\/21, j, -0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 221331942?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*(714\/119)\/(54\/(-28))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22236497 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 43 = 5*s. Suppose -s*p = -9*p + 6. Suppose -p*v = 5*x - 1497, 5*v - 2*x - 4797 = -982. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920 + 460 = 46*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*o**6 - 8*o**5 - 9*o**3 + o**2 + 17*o - 74?\nAnswer: 7200*o**3 - 480*o**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*s + 28, 25 - 72 = 3*s + 2*x - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 6124 = -6*g. Suppose -5*p = -6476 + g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(121)\/(sqrt(33)\/sqrt(3)).\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + -101. Let p = q + -30. Solve -2 - p = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149*y + 5 + 27 + 148*y)*(0*y**3 - y**3 + 3*y**3) to the form t*y**4 + k*y**3 + n + j*y + g*y**2 and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 34*o - 28 - 99*o + 13 to the form q*o + t and give q.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 10:05 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -499548 divided by -6\nAnswer: 83258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 79*x**2 + 11*x + 41. Let z be j(-4). What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/h**(2\/3)))*h)**(-31)*h**(-7)\/h*h*h**5 assuming h is positive.\nAnswer: h**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12403455, 12403454, 12403453, 12403452, 12403451?\nAnswer: 12403450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 28*j**2 + 2 + 35\/2*j**4 - 8*j - 118\/3*j**3. Solve m(i) = 0.\nAnswer: 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-10))\/((-1)\/24). Let j be 1\/((-4)\/n)*-10. Let z = -11 - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(9\/(-6))\/3. Let b = 10 - q. Suppose -b*f + 59 = -f + a, -f = a - 28. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 2, -4198.\nAnswer: -4198, -7, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-3)\/(-6))\/((-5)\/(-20)))\/1. Let v(q) = 32*q - 25*q - 7 - 4 - q**a + 4*q**2. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 445.35 - 445.39099944. Let b = 0.041 + q. What is b rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -315*q + 3193. Let m be f(10). Which is the closest to m? (a) -2\/11 (b) -9 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246354673.\nAnswer: 246354673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p. Let q(j) = j**3 - 7*j**2 + 6*j + 2. Let w be q(6). Solve p = d + w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 j when four letters picked without replacement from jjjjjjuu.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 17*a**2 - 66*a - 3. Let n be j(10). Which is bigger: n or 33?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:47 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6*3 + -1. Suppose -2*x = -c - 4*c - 13143, o = 2*c + 2*x + 5246. Let i = -1572 - c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11 - 13 = 0. Calculate the smallest common multiple of l and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 309*n + 11435. Give i(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*v - 3 = -19, 4*v - 18 = b. What is the units digit of (0 - b)\/(6\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 1, t: 1, a: 2, u: 1, l: 4}. Give prob of sequence smss.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**4\/j))*j**(-4))\/(j\/((j**(-1)*j)\/j))**(-32))**7 assuming j is positive.\nAnswer: j**441","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202991*n**3 - 199278*n**3 + 402278*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 1570 (b) -1\/2 (c) -26 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 13 + 49. Let y be ((-24)\/(-10))\/((-2)\/(-5)). What is the greatest common divisor of m and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5\/2)*o*o**36)**3 assuming o is positive.\nAnswer: o**(213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 269*n**3*p - 8*n**3 + n**2*p + 7*n - 3*p wrt p?\nAnswer: 269*n**3 + n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 109289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, j: 7, n: 1, x: 1, p: 1}. Give prob of picking 2 p and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003172717522 rounded to 7 dps?\nAnswer: 0.0031727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 18.7.\nAnswer: 972.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*(-16)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 46. Determine n(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3243156.\nAnswer: -5\/3243156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, m: 3, t: 3, o: 6, b: 2}. Give prob of picking 1 t, 1 v, and 1 o.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 3*s + 51 - 5*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31799.8 rounded to the nearest ten?\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(220\/16) + 4\/(-5). Let k = -32 + 60. Let g = k - 20. Solve w = 3*b - b - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m + 3)*(-m + 4*m - m)*(-3 - 2 + 7) - m**2 - m**2 + m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 661 + -446. Let q = -129 + v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1019 * 4\nAnswer: -4076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*q**3 - 7*q**4 - 3*q - 43*q**4 - 6*q**4 - 275*q**2 wrt q?\nAnswer: -1344*q + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 118?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*k. Let t be (-2)\/k*5850000\/(-3). What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)*(-2 + 1). Let m(q) = -q**2 - q + 19. Suppose g + 39*t = 38*t - 6, 2*t = -g - 17. Calculate the remainder when m(f) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30478924 is divided by 4356?\nAnswer: 4348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3674*j + 235134. What is g(64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 1399 + 211. Let k = c - -313. Calculate the highest common divisor of k and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let o(p) be the third derivative of 19*p**4\/2 + 148*p**2 - p. Determine c(o(t)).\nAnswer: -456*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/(-256))\/((-2)\/16))\/((-2)\/24*-33)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 48, 99, 170, 261?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1799, -1788, -1747, -1658, -1503, -1264, -923?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 36. Let h be 16\/66*(-18)\/30. Let y = h - 5\/11. What is the closest to 22 in y, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2973.3 + 2973. Which is the closest to 48? (a) n (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12952916 by 31.\nAnswer: -417836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - 0.07. Let y = -4.98 - z. Which is the second biggest value? (a) 4 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*n - 8*n + 7, 5*m - 13 = -3*n. Let c = -321 + 317. Put 0, 5, c, m in decreasing order.\nAnswer: 5, m, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqrjc. What is prob of picking 1 c, 1 q, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -24, -61, -124, -219, -352, -529, -756?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 18 = 4*u - 14, -4*u - 5*i = -56. Let r(a) = a**3 - 10*a**2 + 7*a - 7. Let o be r(u). Let f = o + 29. Sort f, -2, 13 in decreasing order.\nAnswer: 13, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 11*g - 2. Calculate v(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1335 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/736 and -59\/920?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -5 (c) -2 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 15622465.\nAnswer: 6248986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + -6 - (-2571)\/3?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/359 (b) 2\/7 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 147*x - 10320. Calculate q(70).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512, 1031, 1550, 2069, 2588?\nAnswer: 3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 40*l = -125 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 - 19*b - 2. Let o be x(-6). Solve 20*f**2 - 5*f**5 - 8*f**o - 11*f - 17*f + 3*f**5 + 30*f - 12 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2228 - 2161. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 8*m - 2*m + 12*m to the form s + n*m and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -52*y**6\/5 - 7*y**5\/20 + 934*y**3 + 2*y - 186. What is the second derivative of v(a) wrt a?\nAnswer: -3744*a**2 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 5. Let w be t(5). Suppose w = -j - 150 + 30. Let i be j\/18*36\/(-10). Solve 4*h - 3*p = i, -h + p = -2*p - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-90)\/(-840)). Let m(n) = n**3 - 13*n**2 - 13*n - 7. Calculate m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243 - 240. Let x be 0 + w + 2 + 5 + 26. Calculate the greatest common factor of x and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 5*r + 4. Let s be a(-5). Let f be 0 + s\/2 + 0. Let u(t) = -t**2 - 4*t + 3. Give u(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-18))\/(10*(-12)\/(-144)). Let n be ((-2)\/(-2))\/(-2) + -1. What is the smallest value in i, -2\/17, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(90\/(-150))\/(3\/(-5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 + 8*n + 16. Is w(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 - 291. Let c = -4 - -4.3. Is b > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2*18\/(-120)*5*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Suppose d - j = -10. Is (-16)\/128 + (-6249)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(500))**2*-2.\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0 - 3 + 8 + 2*a + 0. Let x be t(-6). What are the prime factors of 7\/(-2)*20\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. Suppose t*s - 1 = s + b, 2*s - 8 = -2*b. Suppose u = s + 3. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2)\/(0 + -4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1574 - 807*a**3 + 1602*a**3 - 794*a**3 + (2*a**2 - 1 + 1)*(a - 6*a + 2*a).\nAnswer: -5*a**3 + 1574","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/15)\/t*t*t))**(2\/7)*t**7*t\/(t**(-2\/25)\/t) assuming t is positive.\nAnswer: t**(4787\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 23 = 6*s - 47. Solve -s*z - 17 = -4*r, 9*r + z = 6*r + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k = -32*k. Let n(p) = p**3 - 3*p**2 - 4*p + 2. Let d be n(4). Differentiate k*m**4 - m**d + 3*m**4 - 5 + m**2 wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1116 + 0.6695. What is m rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 10680*q**2 - 7604160*q - 1804720640 = 0. Calculate q.\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28959, -115800, -260537, -463170, -723699, -1042124?\nAnswer: -1418445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208 + 2*p + 1914 - 4220 to u*p + t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*c**3 - 2*c**2 + 2*c**2 - 53*c**3.\nAnswer: -512*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102011 (base 3) in base 12?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 + 0 + (-56108)\/4056. Let w(x) be the second derivative of -3\/2*x**5 - 10*x**3 + 0 + x + 10*x**2 + h*x**6 + 65\/12*x**4. Solve w(v) = 0 for v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 1052860.5.\nAnswer: 1052859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158901.\nAnswer: 3, 52967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20)\/sqrt(4))**2 + 4)*-5 + (sqrt(2450)*1)\/(2*sqrt(90)).\nAnswer: -45 + 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 + -5. Let t = 0.3 - 2.3. Let w = 4 - 3. Which is the closest to w? (a) u (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h - 20. Suppose -3*l - x + 14 = 0, 0*l + 4*x - 29 = -h*l. Solve -f - 5 = l*s, 2 + 0 = -2*s - f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 7*v**3 - 40*v**3 + 2*v**3 + 175*v**3 - 132*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 13*z - 7*z - 3*z + 3. Let x(i) = -i + 9. Let b(r) = -2*r**2 + 3*r - 17. Let j(t) = b(t) + 2*x(t). What is 5*j(f) - 2*v(f)?\nAnswer: -2*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 244.4119 millennia?\nAnswer: 2444.119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-28 - -15) - -20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 152.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 135000 (base 11) to base 14\nAnswer: 571a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x - k, -5*k + 40 - 14 = 2*x. Does 17 divide 4*x\/(-32) + 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.3 (c) -2\/7 (d) 2 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - ((sqrt(77) - -3*(sqrt(77) + -1*sqrt(77))) + sqrt(77)))\/(sqrt(1008) + sqrt(1008) + sqrt(1008)*-4 + sqrt(1008)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21 or -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 8) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -6328247, 1 in decreasing order.\nAnswer: 1, -1, -4, -6328247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*p**2 + 190*p**2 - 2 + 2 - 398*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 142 = -3*a, 0 = 1560*a - 1561*a + 12*i + 349 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 690 - 405. Suppose -3*g + p + 2136 = 0. What are the prime factors of g?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**5 - 4*g**4 + 4087*g**3 - 1410596*g**2 - 2*g wrt g.\nAnswer: 840*g**2 - 96*g + 24522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11458*c - 120 = -11430*c + 20. Suppose 3*x + 12 = -x. Put x, -12, c in descending order.\nAnswer: x, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1312592679*c**4 + 916199123 wrt c.\nAnswer: -5250370716*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 89. Solve 4*c + 3*r + 37 - a = 0, 0 = -4*c + 2*r - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.85 - -0.25. Let o = g + -10. Sort 0.5, 2\/7, o.\nAnswer: o, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**2 + 14*h - 7. Let w(a) = a**2 + 2*a - 1. Let y(o) = -7*w(o) + x(o). Let v(t) = -29*t**2. Calculate v(y(m)).\nAnswer: -116*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -118eb2?\nAnswer: -118eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, u: 1, j: 1, h: 1}. Give prob of picking 1 h, 1 d, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 12*o + 2*t + 8 = 0, -o = 5*t + 29. Let s be 14\/40 - (-2)\/8. What is the fourth smallest value in s, -1, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1226 - 771 - 175 + (-1 - 5 + 4)*(2 - 4 + 4) + 2 + 1 - 1)*((6*y - 2*y - y)*(-4 + 3 + 2) - 3*y - y + 2*y) to g + f*y and give f.\nAnswer: -2174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = -3*h - x, -h = -5*h - 3*x + 566. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = 14*i - 512 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1499 = -1498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -14)*1\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*g + 3400*g - 830*g + 1042*g + 2153*g.\nAnswer: 5433*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 22, -2, -12, -8 in increasing order.\nAnswer: -14, -12, -8, -3, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353875320 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1103707 and 1231.\nAnswer: 1231.1103707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -61*0.021\nAnswer: -1.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/12 + z**3\/6 + 17*z. Let b(v) = -6*v**3 - 3*v**2 - 3*v. Determine b(g) + 3*q(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7637 - 7242?\nAnswer: -17101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h - 2. Let m be r(2). Suppose -3 = -z + m. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-30)\/(-4)))\/(163*(-226)\/(-534151)).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 - 296*z**2 + 5421*z + 213. What is f(34)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18095591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 8, -2, -362, -3 in decreasing order.\nAnswer: 8, 5\/6, -2, -3, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*q - 2*q - 30, -2*q = -5*u + 5. Suppose 2*a + 5*c = 14414, -2*c = u*a - c - 21647. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/2 + -12. Let d = -0.32 - 0.08. What is the nearest to s in d, 3\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -30. Let d be (-4)\/p*(-5)\/(5\/58). Let t = d + -505\/68. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:38 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.17211 * -4\nAnswer: 0.68844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 425997 not equal to 11501879\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 - 3 = 0. Suppose a*t + 4 = 19. Suppose 3*d + t*o = 2*d - 1, 0 = -5*o + 15. Is d >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147269 - -20.4?\nAnswer: -1147248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/(-7*8\/168).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1179\/10 + 118. Let h = -1.7 + -3.3. Which is the second biggest value? (a) -4 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.24.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d)*(-2*d**2 - d**2 + 2*d**2) - 2*d**3 + 11*d**3 - 3*d**3 - 824*d**3 + 402*d**3 + 205*d**3.\nAnswer: -212*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 19115685*j**2 + 76462800*j + 76462820.\nAnswer: -5*(j - 3823141)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589776 divided by -8519?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 30, 754, 2\/45, 5 in descending order.\nAnswer: 754, 30, 5, 3, 2\/45, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*h - 2 + 23*h - 72*h)*(-1 + 0 + 3) to the form f*h + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 = -6*z + 1324. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t + 2\/3*t**4 + 1\/90*t**6 - 2\/15*t**5 + 8 + 0*t**2 - 10\/3*t**3. Let k(m) be the third derivative of q(m). Factor k(z).\nAnswer: 4*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81165.6 from -95916.\nAnswer: -177081.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 165*r = -32*r - 1924 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3013159, -12052626, -27118409, -48210514, -75328947, -108473714, -147644821, -192842274?\nAnswer: -244066079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 1 + sqrt(76) + 2 + -3 + ((1*(sqrt(152) - sqrt(152)*-2 - sqrt(152) - sqrt(152)))\/(sqrt(96)\/(1*sqrt(12))))**2.\nAnswer: 4*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 6*p. Suppose -3*d - 4 + 22 = p. Let v(j) be the second derivative of -j**4\/12 + 5*j**3\/6 - j**2\/2 - 15*j. Give v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b - 3. Suppose -1 = 3*j + m - 17, -3*j - 2*m = -20. Give w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -161?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997090, -997124, -997196, -997318, -997502, -997760?\nAnswer: -998104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134545?\nAnswer: 5, 71, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 12) to base 5.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(4 - 3 - 2)*(-39*m + 11*m**2 + 39*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1925 and 12526700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/6*60\/18. What is the second derivative of -41*d**3 + 1 - x*d**2 + 28*d**3 - 30*d**3 + 6*d**2 - 7*d wrt d?\nAnswer: -258*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1 (c) -89 (d) 79 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -23. Suppose s*z - 3 = 3*b + 2*b, -5 = 5*b - 5*z. Suppose 5*d + 3*i - 268 = 0, b = 3*d - 4*d - i + 52. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 0*q = -2*q + 12, -4*z + 5*q + 26 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880 < 4994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by 4.\nAnswer: 209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100110000110 (base 2) to base 12\nAnswer: 14b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {q: 5, y: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2373653 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2492*s - 491. Let r(o) = -2*o. Calculate r(j(c)).\nAnswer: 4984*c + 982","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from cdcdddcdddccdgcccn.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*q**6 + 5*q**3 - q**2 + 7*q?\nAnswer: -3000*q**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 32 = 5*l, l - 5*l + 36 = 5*c. Let t = 119 - c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugvgsrl. Give prob of sequence gr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71705, 71649, 71593, 71537, 71481, 71425?\n\"Answer: -56*p + 71761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55114 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0.04. Let s = 0.8 - d. Let i = -0.4 + s. What is the second smallest value in 5, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + n, 3*n - 12 = -4*k + 5. Let s be (-138)\/30 - 2\/5. Let g be s\/15 + 2 + -2. Which is the closest to g? (a) k (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 29*r**2 + 5. Determine v(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28214818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v**2 + v. Let d be a(5). Solve d*u - 6*u - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 2*y**2 + 0*y**2 - 14*y - 7. What are the prime factors of m(10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 717 - 722. What is the second biggest value in -90, 1\/2, -0.5, j, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*r - 15878 - 3442. Does r = 459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268759319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.01, -290868, -0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.783 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, y: 13}. What is prob of picking 2 x and 2 y?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + (37 - (-121 - -179))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - (-108 - -30)) + -96 + 9.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*c - 32 = 5*h, -2*c = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l**2. Let t be o(1). Let q be 0 - 5\/(t\/(-5064)). Is (5\/(-4))\/((-2)\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 + 1038*h**2\/7 - 4794*h + 280330\/7.\nAnswer: -2*(h - 485)*(h - 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 109 = -2*b + 57, 20 = -4*b. Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(450) + -1*(sqrt(450)*-2 - sqrt(450))))\/(((sqrt(36)\/sqrt(4)*5 - sqrt(9) - sqrt(9) - sqrt(9)) + sqrt(36)\/sqrt(36))*-5).\nAnswer: 48*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6650 and 361900.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 2*x**2 - x + 2. Let y be i(1). Let u be 1 + y\/2 + 3. Solve -2*q - u*q - 5*l + 23 = 0, 0 = -4*q + 2*l + 2 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 25 and 10809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 815, 2712, 5881, 10322?\nAnswer: 16035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 966355 and -0.3.\nAnswer: -289906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8311436 to the power of 1\/2, to the nearest integer?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:59 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 240 = 5*s. Suppose 20*a + 620 = 1220. What is the highest common divisor of s and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -4, -1 in ascending order.\nAnswer: -4, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 1}. Give prob of picking 2 q and 1 y.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 17, -1, 10 in ascending order.\nAnswer: -2, -1, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. Let k = 10 + -14. Is k <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + o - 2 + 2*o + 0*o - o + (-6 + 6 - 6)*(2*o + 2*o - 5*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*h = -i + 138, -2*h + 280 = -2*i. Let v = i - -165. What is the smallest common multiple of v and 6\/4 + 275\/22?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9486 and -2.146.\nAnswer: -2.0356956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2*s**3\/3 - 9*s**2\/2 + 25*s + 23. Let t(w) be the first derivative of m(w). Let u(l) = -l + 2. What is 2*t(a) + 9*u(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6582 by -2194.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3528.97447837 + -3530.92453. Let q = j + 1.95. Round q to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206966, -207026, -207200, -207548, -208130, -209006, -210236, -211880?\n\"Answer: -10*r**3 + 3*r**2 + r - 206960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 5 + (7 - 9 - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 - 7071*b + 21185. Calculate o(3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49246624 to the power of 1\/2, to the nearest integer?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is -13617016 less than or equal to -13617016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k + 3. Let j(c) = 2. Determine 2*h(a) - 4*j(a).\nAnswer: -66*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-22)*(-12)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (6 - 14))\/(-1 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 1 - 7*w**2 + 0 + w**3. Calculate m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14+7189.55\nAnswer: 7189.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67061 - -101842. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23233*j**2 - 432*j - 12 wrt j.\nAnswer: 46466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 50\/3*l**3 + 18*l + 2 + 30*l**2. What is x in s(x) = 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 10*c**2 + 10*c + 1. Let d be 78\/6 - (-1 - -5). Let l be k(d). Differentiate 5 - 11*j**2 + l - 5*j**2 with respect to j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -16.86. Let g = i + -13. What is the smallest value in g, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-9 - 5 - 14)*(q + 2*q - q)*(2*q + 2*q - 5*q).\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 4*c**2 - 6*c**2 + 2*c**2 + 4*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 7*q + 14. Let x be b(-5). Solve -156 + 40*h**x - 30*h**2 + 146 + 37*h + 0*h**5 - 15*h**5 - 2*h - 20*h**3 = 0 for h.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-3*a**3 + 2*a**2 - 2*a**2) - 6*a**3 + 6 - 6)*(-4801 - 4798 + 9599 + 462*a**2).\nAnswer: -4158*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702234?\nAnswer: 2, 3, 617039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + i**2 - 2*i - 2 - 4*i**2 - i**3. Let u(f) = f**2 + f - 3. Suppose -2*o - 2 = y + 3, 2*o - 5 = y. Let m be u(o). What is g(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*o = -93*o + 229*o - 36 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374224 is divided by 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2169, 9579, 21929, 39219, 61449, 88619?\nAnswer: 120729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2 + 6 - 3 - 4 + (0 + 2 + 0)*(0 + 0 - 2) - 1 - 1 + 4)*(-4 + 0 + 1)*(9 + 9 - 1)*(-2*q + 6*q - q).\nAnswer: 306*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - -1 - -5 - (0 + 0). Suppose -5*m = 5*c, -2 = -3*c + o*m - 13*m. Solve 5*p + 7 - c = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 + 4*v - 23. Give t(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + 92*g + 825. Calculate the remainder when 50351 is divided by v(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12194*t - 5900*t + 8149*t as r*t + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -13. Let u = -12 - g. Let v be u\/(2\/4*3). Solve -w = v - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2050 - 2048. Which is the second smallest value? (a) -1\/8 (b) j (c) 7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 1102*d + 284*d + 73320 = -6566 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10967 - 4412. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**4 + 3 + 3*r**4 - 8*r + r - 4 + 10*r**2 + 3*r**2 as c + v*r**4 + w*r**2 + s*r + z*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 6*x**2 - 7*x + 9. What is l(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -12. Let q be i\/(-2)*1\/2. Let z = 12 - q. Solve -3*n + 4*r + 8 = 0, -7*n - z = -2*n - 2*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2432, 4865, 7298, 9731, 12164, 14597?\nAnswer: 17030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from lvninvvvninvliini?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/(-6) + -1)\/(6\/(-9)). Let w(c) = 10*c + s*c - 14 - 12*c. Let k be w(6). Is k at least as big as 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205407897 and 3126?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {n: 7, o: 1, c: 1, b: 10, h: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 10 + 7*b**2 + 3*b**3 - 4*b**3. Let l = -7 - 0. What are the prime factors of f(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 43*y**2 - 210*y - 10. Calculate i(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -292, -653, -1158, -1807, -2600?\n\"Answer: -72*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Let u be 6 + -6 - (k - 0). Sort 0, -4, u.\nAnswer: -4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 25*o - 2*o + 114. Let b(r) = -3*r**3 + 2*r**2 - 4*r. Let v(p) = -4*p**3 + p**2 - 5*p. What is o*b(c) + 2*v(c)?\nAnswer: c**3 - 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 304 (c) -2\/7 (d) 181 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t - 2*t)*(-5*t + 0*t - 2*t) + (-2*t**3 - 4*t**2 + 4*t**2)*(-3 - 2 + 3) + (-295*t - 150*t**2 + 295*t)*(1 + t - 1).\nAnswer: -132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16305 is divided by 4031.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571555 is divided by 517.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1552 and 1649.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + l - 3 = 0, 5*l = -0*j + 2*j - 19. Factor -686*w**5 + 695*w**5 + 14*w**j - 12*w**4 + 6 + 9*w**2 - 12*w**4 - 5*w**2 - 21*w + 12*w**3.\nAnswer: 3*(w - 1)**3*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167\/4 - -42. Let d = 0.1 + 0.1. What is the second smallest value in 1, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14766\/92*1*-2 - 3. Let d(v) = -v**3 + v**2 + 12*v + 4. Let i be d(-9). Let w = i + s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 128 = 15269. Sort 2, m, 5.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*f**3*w**3 - f**3 + 26*f**2*w + 2*f**2 + w**5 wrt w.\nAnswer: 3324*f**3*w + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3501 and -4?\nAnswer: -14004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753391939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 188689.\nAnswer: 87\/188689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*h + 1816*h - 175590 = -786*h - 33926 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y - 7. Determine k(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -703 + 4237\/6. Calculate the common denominator of 7\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 20*h + 127310 - 762695. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffd when three letters picked without replacement from {c: 2, f: 9, l: 1, d: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8378 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-17952)\/(-7480))\/((60\/(-1000))\/(3\/8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5971796*f + 624046 wrt f.\nAnswer: 5971796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 38.9. Sort 4, -2, l, -1\/5 in decreasing order.\nAnswer: 4, l, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d - 210. Let j be (-12)\/d - (-54)\/(-7). Let g = 5 + j. What is the nearest to 1 in 1, 0.5, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -39. Let t(g) be the second derivative of -g**4\/6 + 7*g**3\/3 + 5*g**2 + g. Is t(u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 3154330202?\nAnswer: -3154330205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 84.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q + 67*q - 3*q + (0 + 0 + 1)*(-q + 0 + 0) + 3*q + 4*q - 5*q in the form a*q + u and give a.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by 34?\nAnswer: 212\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 + 588530\/42040)\/(1026\/(-48)). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -91943?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2691568 decades?\nAnswer: 2.691568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 2 c when four letters picked without replacement from kcjjkkckejllcc.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7100002 and 12.\nAnswer: 42600012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15475 + -15475.1. Is y less than or equal to -107.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357573?\nAnswer: 3, 401, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(588) - sqrt(588)*-1 - sqrt(588) - sqrt(588))\/sqrt(12))\/(sqrt(567) - (sqrt(567) - 2*sqrt(567))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 + 11*f**2 - 5*f + 1. Let b be u(5). What is the closest to -1 in -1, 0, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f. Let a(i) = 2*i**2 - 31923*i + 719. Determine q(a(k)).\nAnswer: -6*k**2 + 95769*k - 2157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12714 by -978.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 5. Let p be h\/(2 + -1 - 0). Is 13 a factor of (5*4*1)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405518.17 rounded to the nearest 1000?\nAnswer: -1406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.028\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -35. What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -17 + -84 + 80?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 g when three letters picked without replacement from ccssfgsfblsf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n + 37. What are the prime factors of a(9)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/54 and 61\/11583.\nAnswer: 23166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 267771 divided by -287?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/444)\/1*17\/(17\/(-3)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8))**6*((o*o**0)\/o*o)**(-11\/2) assuming o is positive.\nAnswer: o**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 - 115 + 10*h**3 + 129 - 14.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1910097 + -0.191. Round f to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 123\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*s**4 - 55*n*s + 188*n with respect to s.\nAnswer: 8*n*s**3 - 55*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - -1.1. Let p = 6.02 + -0.02. Let j = p - 8. What is the closest to -1\/4 in j, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31564018067.00000478 - 31564018359. Let l = c + 292. Round l to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 121, -4, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 25 = -3*k. Suppose 5*n + 6 = 5*t - 54, 31 = -3*n + 2*t. Let v be n - 1 - (6 - 5). Which is bigger: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2016*z - 3 + 1726*z + 2 - 2690*z)*(0 + 3 - 4).\nAnswer: -1052*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + 10*s - 8. Let r be p(-12). Suppose 480 = 3*n - f, -2*n + 3*n = -2*f + r. Let x be 7*1\/((-1)\/n). Round x to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 17. Let s = -41 + u. Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.9 + 0.9. Let s = i + 4.87. Let u = -0.33 - s. Which is the third smallest value? (a) -3 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 500016, 999996, 1499964, 1999920, 2499864, 2999796, 3499716?\nAnswer: 3999624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/156 + -1\/52. Let j = 0.029 - 0.029. Sort l, j, 4.\nAnswer: l, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -10. Let a = -30 - -28. Let x be (28\/42)\/(a\/3). Sort x, l, -3, 3 in ascending order.\nAnswer: l, -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32152139 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: Evaluate ((16\/(-8))\/2)\/((-2)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, o: 3, c: 6, e: 4}. What is prob of picking 1 h and 2 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.18109191663 + 5.\nAnswer: 2.81890808337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -3687916\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -31, -0.5, 7, -36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**1*v**21*v assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 38*w + 216 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0655 in -0.4, -5, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(18\/(-3))\/6*-1. Suppose -3*f = h - 12, h + 12 = 3*f - s*h. Solve 3*q - 4 = -q + 3*m, 0 = f*m - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-22 + 10 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2148321.3 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -17. Let i(f) = f**2 + f. Suppose 2 = 2*v - 2. Calculate the smallest common multiple of v and i(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 11*x - 20. Give s(5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5*(-3)\/30)\/((-3)\/(-12)). Find the second derivative of -6*t - 22*t**2 + 12*t**2 - 17*t**g wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6325 and 44390.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(6 + -8 - (-2 - -1)). Suppose -15 = -5*p - k. Factor p*t**5 + 6*t**4 - 12 + 12 - 4*t**3 + 7*t**3.\nAnswer: 3*t**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*i + 7, -2*l + 0*i = -2*i - 10. Let g(h) = -3*h**2 - 4*h + 5*h**2 - h**2 - 1 + h**2. Let n be g(3). Sort -1, n, l.\nAnswer: -1, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p - 54. Let m = p + 29. Suppose 0 - 4 = -i. What is the remainder when m is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/11 (b) 1\/3 (c) 2\/3 (d) 19.56 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(153) - ((sqrt(153) - 2*sqrt(153)) + 3))**2*-6 + (-2 + (-3 + sqrt(153) - sqrt(153)))**2 + -5.\nAnswer: -3710 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3363*w - 23 = 4*x + x - 3364*w, -x - 9*w = -115 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, -4, -5 in descending order.\nAnswer: 0.5, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + f**2 + 290*f - 667*f as n + u*f + z*f**2 and give u.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.46 - 0.46. Which is the nearest to g? (a) -2 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3 - 1 - 3 + 5 + (-6 + 3 + 2)*(1 + 0 + 0) + 0 + 1 + 0 - 688 + 2029 - 756 - 725)*(-8 - 4*p + 8).\nAnswer: 564*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/15 + -1 - 2. Let g be (2\/(-16))\/((-4)\/24). What is the second smallest value in n, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-20 - (-12 - -57)) - -8\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -14064*w**2 + 84385*w - 33. What is g(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3358311329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -104?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 5. Let u be p(-7). Differentiate 4 + f + 25*f**u - f - 34*f**2 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/9))\/(h*h**(-17))*h**(6\/7)\/(h**(-3\/16)*h*h*h) assuming h is positive.\nAnswer: h**(15053\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 6\/1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54.37085 and 11?\nAnswer: 598.07935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 161280+345\nAnswer: 161625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1852\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.04 minus -75174?\nAnswer: 75171.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 31, 5, -29, -71, -121?\n\"Answer: -4*c**2 - 6*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612938.9mm to nanometers.\nAnswer: 612938900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 741 or 742?\nAnswer: 741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (16*1\/2)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663132862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1681 + -1678. Let n(x) = 3*x**2 - 2*x**3 + x + 3*x - 5*x. Calculate n(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65.5 + 91. Let u = l + -26. Let p = 0.05 + 0.35. What is the third smallest value in -0.2, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113843.79001014 - 113842.731. Let i = v - 1.059. Round i to seven decimal places.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -25 + 3 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - j**3 + j**2 - 12*j + 1 - 1 to the form c + x*j**2 + i*j**3 + w*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(102)*-1*-3)\/(sqrt(60)\/(sqrt(80)\/(sqrt(40)\/sqrt(5)) + sqrt(10))))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 132 - 17. Let a = k + -12. What is the smallest common multiple of 2\/8 - 129\/(-12) and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-7) + -2)\/((-9)\/126)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*j**4*q**3 + 3*j**4*q + 236*j**2 - q**3 wrt j.\nAnswer: 840*j*q**3 + 72*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1943015*p. Let c(z) = 2*z + 2. Give c(u(f)).\nAnswer: 3886030*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 78*b**3 + 9*b**2 + 18*b - 109. Is w(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnccnnw. What is prob of sequence nncn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, j: 2}. What is prob of sequence kkjk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47109 is divided by 128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f - 60. Give p(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3024 = -11*a. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.55 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*o + 60, 16*o - 2*l - 81 = 11*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71047 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723373485.\nAnswer: 3, 5, 131, 368129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 7*j - 1. Let l(h) = h - 1. Calculate -l(k) + s(k).\nAnswer: k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -330238, -2 in increasing order.\nAnswer: -330238, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 47.99. Let z = 17.01 + y. Let o = z + -17.000144. Round o to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 690 = 2*m. Suppose 4*x = -x + m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 5 + 1 - -3. Suppose -2*o - 3*o + 70 = 0. Let i = o - 5. Solve -5*g + q = -i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/3 - 5*x\/3 + 25\/3 = 0. Calculate x.\nAnswer: -5, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20543 times 0.4\nAnswer: 8217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z + 64 = 39*z + 77*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:51 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c + 3. Let l(d) = 3*d**2 + 52*d + 21. Let b be l(-17). What is the remainder when 70 is divided by s(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.8 - -60.1. Which is the third smallest value? (a) z (b) 0.5 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.13 + -0.13. Let s = 21.7 + -3.7. Let u = c - s. Put 8, 5, u in decreasing order.\nAnswer: 8, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51028 + -0.3086493.\nAnswer: 0.2016307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 237?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, -5, -1, -15.\nAnswer: -15, -5, -1, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 9. Let n be i(0). Let j(y) be the third derivative of y**4\/24 + y**3\/2 + 12*y**2. What is the remainder when 47 is divided by j(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 7\/24*w**4 + 0*w + 0*w**5 + 0 + 7*w**2 + 0*w**3 - 3\/70*w**7 + 0*w**6. Find the second derivative of h(u) wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -45 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -31 - (-12 - 2) - -16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, -85, -128, -177, -226?\n\"Answer: j**3 - 12*j**2 - 2*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 2074.9\nAnswer: -829.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1669*h**3 + 622*h**2?\nAnswer: 10014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012554 to the power of 1\/2, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0*q = -2*a + 2, -3*q - 3 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 2 in increasing order.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + q**2 - q**2)*(2 + 0 + 2)*(1 + 1 + 0) as u*q**2 + y + l*q and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103.85696 and 2.6159?\nAnswer: 106.47286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1192\/5897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1407659013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 + 2*p - 1. Let c be i(1). Let s be (-6)\/(-9)*-3 - c. Suppose -5*d = s*t - 43, 5*d + 48 = 3*t + 7*d. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33231235 divided by -5.\nAnswer: -6646247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r + 2832 + 4845 + 13841 = 0 for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.05138?\nAnswer: -3.94862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963298, 1926589, 2889880, 3853171, 4816462?\nAnswer: 5779753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17181 + 1512?\nAnswer: -15669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 11*d**2. Let m be (4\/4)\/(1 + -2). Let v be u(m). What is the highest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 8. Let t be w(0). Let k be 66\/t + 15\/20. Suppose 3*q**3 - k*q**2 - 4*q**4 + q**2 + 5*q**3 + 4*q**3 = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (5 + -4 + 3 + -7) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 46. What is the greatest common divisor of 161 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(245)*6 + sqrt(5))*4 + -3 + 2)**2.\nAnswer: 2064*sqrt(5) + 147956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44165 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4962 is divided by 184.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 226*c + 1111. Let v(q) = -458*q - 2222. Let y(p) = 11*r(p) + 6*v(p). Differentiate y(g) wrt g.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u + 41. What is the units digit of f(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose -2 = -q*u + 10. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 2*j**2 + 3*j**2 - 6*j**2 + 3*j + 2 + j**2. Let m = 845 - 849. Calculate v(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/(-4) - -5)\/((-6)\/64). Put 0, i, 2 in descending order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192490 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: What is the value of -1 + 8\/8 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2050, 3745, 5440?\nAnswer: 7135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -13.2. Let u = 0.2 - h. Let l = -1 + 6. Which is the third biggest value? (a) u (b) l (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26819, -26822, -26825?\n\"Answer: -3*t - 26816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((13 - -10 - 15) + 12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h - 4*h. Let m = -744 + 3724\/5. Is h equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 14*z = 1470. Let t = z - 149. Sort 19, -4, t in ascending order.\nAnswer: -4, t, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.086.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4961 and 19915709.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 - 3. Let v be c(1). Suppose t = -2*z + v*z + 499, 0 = -5*t - 3*z + 2482. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 931d4d?\nAnswer: -931d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 2244221\nAnswer: 144\/2244221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 1697.\nAnswer: -30\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:54 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3464919?\nAnswer: 3464920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9*g + 3)*(-2 - 1 + 1)*(3*g**2 - g**2 - 1 - g**2).\nAnswer: -18*g**3 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(1\/(-12)). Suppose 3*j = w*j. Suppose i = -j*i + 198. What is the highest common divisor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 - -122. Suppose -12*r = -0*r - 12. Solve -3*x = -4*p + 3, n*x - 2*p + 4 + r = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 7*i**2 - 33*i**3 + 34*i**3 + 16 - 4*i**3.\nAnswer: -3*i**3 - 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 806.8?\nAnswer: -1613.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 40514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -19*c**4\/24 + 7*c**3\/2 + 2*c**2 - 73*c. Suppose 20 = -3*o - 2*k, 4*o = -k + 2*k - 45. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 - 110. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/720 - i**5\/15 + i**4\/12 + 2*i. Let s(q) be the third derivative of j(q). Let x = -71 + 77. What is s(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1578, 1499, 1406, 1293, 1154, 983, 774?\n\"Answer: -p**3 - p**2 - 69*p + 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/6 - 27*y**3 + 473*y**2\/6 + 106*y = 0.\nAnswer: -1, 0, 4, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(153)*2)\/sqrt(9).\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s + 3*q - 17 = 0, -6*q + 187 = -29*s - 3*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 + 12*v - 14. Calculate s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 11. Let b(d) = d + 7. Let n = 5 + 3. Let s(o) = 2*o**2 + 54*o + 275. Let i be s(-20). What is i*q(y) + n*b(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*d - 341 - 433 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9167, -11954, -14747, -17546, -20351, -23162?\n\"Answer: -3*j**2 - 2778*j - 6386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*d - 120025 = 0, -3*t = 2*t - 3*d - 150015. Round t to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194144 and 196?\nAnswer: 38052224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p. Let z(t) be the first derivative of -2 + 0*t**3 + 1\/60*t**5 + 9\/2*t**2 + 0*t**4 + 0*t. Let m(u) be the second derivative of z(u). Give m(c(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.71 + -0.21. Let c be (4 - 6) + -31 - 3. Let k be c\/(-14) + (-3 - 0). Sort t, 0.2, k, 2\/3 in ascending order.\nAnswer: k, 0.2, t, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -41.2. Is -24 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*i - 293 - 4017 = -143*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 + 5*j - 4. Let p be w(3). Solve l - 4*y = -p*y - 9, -4*y + 11 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2885044797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 - 30168*t**3 + 75751794*t**2 + 455325624*t + 683395947 = 0.\nAnswer: -3, 5031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(150) - (0 + sqrt(153))) + 1.\nAnswer: -14*sqrt(17)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrba when four letters picked without replacement from avpvvrb.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttkt when four letters picked without replacement from {k: 4, t: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817 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: b\"What is the tth term of 36, 139, 286, 471, 688, 931, 1194, 1471?\n\"Answer: -t**3 + 28*t**2 + 26*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(187)\/(sqrt(11)*2) - sqrt(17)) + sqrt(17) + -5*(-1 + sqrt(17)))**2 - (-2 + sqrt(612) + -1 + sqrt(612) + 2*(-1 + sqrt(612)))**2.\nAnswer: -37491\/4 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.1047 years in centuries?\nAnswer: 9.051047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 60 = 25 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h + 113299 - 338655 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17218, -1, -2, 4 in descending order.\nAnswer: 17218, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*v**2 - 1125*v - 278*v**2 + 563*v + 562*v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 635572*w**3 + 4828663 wrt w.\nAnswer: 1906716*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 3*p + 5*g - 5 = n, 2*g + g = -4*p + 3. Suppose -z + r = 4*r + 11000, p = -5*r. What is z rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 14. Suppose 0 = -2*k + t - 4*t - 59, k + t + 27 = 0. Let h = q - k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307860268 to the nearest integer?\nAnswer: 17546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1760 + 1761 - (18 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32554100 to the nearest 100000.\nAnswer: -32600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 - 8*f - 134. Let z be q(-13). Suppose z = 22*t - 4809. What are the prime factors of t?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1992106371*i**3 + 3984212736*i**3 - 1992106366*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 501?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99839 and 1.6.\nAnswer: -159742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*s = -1402*s - 74703 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a - 5. Suppose 4*s + 4 + 4 = 4*p, -2*p - 4*s + 10 = a. Suppose p*m - 171 - 246 = 0. List the prime factors of m.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-184)\/(-4) + 3)*-1. Is (-5226)\/(-14) + -2*7\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317317757 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*d - 5 + 21, 5*h - 2 = -3*d. Let z be 21719992\/d + -1 - 49\/147. What is z rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -6 (c) 0.07 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1152 by 64.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 89*c**3 - 265*c**2 - 6*c + 2. Let g be w(3). Let h be (-1)\/(-6)*84\/8. What is the nearest to h in g, 1\/3, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 310 = -2*p, 2*a = 5*a - 6. Let x = -152 + p. Do -2\/59 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i*(((i*i\/((i*i\/(i\/(i*i\/i**(-2\/3))))\/i))\/i)\/i*i)\/i)*(i**(2\/13))**34 assuming i is positive.\nAnswer: i**(503\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 11*l**2 + 122 - 29\/6*l**6 + 0*l**4 + 0*l**5 + 4*l + 5\/3*l**3. What is the second derivative of i(v) wrt v?\nAnswer: -580*v**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278 by -6.\nAnswer: 139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 = 6*k + 754 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008143.\nAnswer: 3, 43, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 19) + -2 + (-375 - -379)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 4*a + a**5 - 3*a + (a**4 - a**4 - 2*a**4)*(0 - 2*a + 0) + 3*a**5 - 5*a**5 + a**5 + a**5 - 5*a**5 - a**5.\nAnswer: -a**5 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + b = -2, -5*o + 16 = -0*o - 3*b. Suppose -33 = o*z + 32. Let r = z - -23. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 17. Let t be h(7). Suppose -2*p = 3*p + 4*d - t, 0 = 3*p + d - 8. Let r(q) = 2*q**p + 82 - 82 + q**2. Let m(i) = -12*i**2. Calculate m(r(k)).\nAnswer: -108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11375)\/910 - (-88)\/(-40))*4\/6.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 + 14*k**2 - 14*k - 14. Let q(f) = 5*f**3 + 4*f**2 - 4. Let p be q(-2). Let y(t) = 2*t**3 + 3*t**2 - 3*t - 3. Give p*y(i) + 6*z(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 5. Solve -5*c + 5*m = -30, -u = -3*c + c + 4*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 + 160\/56. Solve -y*h = -h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15*-2)\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:37 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*u**2 + 54*u + 4.\nAnswer: -2*(u - 1)*(29*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 3. Let h be x(0). Suppose -h*f - 4 = -2*y - f, 3*y - 30 = -5*f. Let w be (-4)\/(-58) + ((-17280)\/464)\/18. Put w, -3, y in increasing order.\nAnswer: -3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(3 - 2 - -1). Suppose -2*h + 1 + 5 = m. Suppose -h*u + 32 = u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662096263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 8*k**2 + 0 - 4*k + 25\/36*k**3 - 1\/40*k**5 - 5\/48*k**4 - 1\/720*k**6. Solve n(p) = 0 for p.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -164*o - 118. Is u(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21575 divided by -9.\nAnswer: 21575\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*q*v**2 + 288*q*v - v**2 - 2*v + 7 wrt v.\nAnswer: 202*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 - (-38 + -88 + 113)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Suppose -3*b - 5*a - 63 = -7*b, -b - 3*a + 37 = 0. Suppose -b = -3*j - 1. Let m(l) = l**2 + 3*l**2 - j*l**2 + 4*l**2. Calculate m(p(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -27*l. Solve l = 2*v - 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111709864.\nAnswer: 2, 7, 31, 229, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*v + 189*v = -612 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5 - 1. What is the remainder when 22 is divided by (-4)\/q + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9162244*r**2 + 159*r + 3. Let s be t(-1). What is s rounded to the nearest one hundred thousand?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11733 or -11731?\nAnswer: -11731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22482 - o - 11469 - 11201 + 2*o.\nAnswer: o - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4829189 (base 10) to base 13\nAnswer: -1001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3659335*x - 3659335*x + 32657*x**3.\nAnswer: 32657*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00237102096 to six decimal places.\nAnswer: 0.002371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12212630 (base 9) to base 15\nAnswer: -7ce956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -137 + a**3 + 407 - 132 + 5*a**2 + 7*a - 135 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 11. Let f be x(5). Let y(k) = -k**3 - 6*k**2 + 3*k - 5. Let q be y(f). Let u = -33 - q. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20790511 take away -0.029?\nAnswer: 20790511.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/15)\/((-12)\/(-10)). Let y = 7 + -4. Let m = y - 3.4. Sort 0.5, w, m in increasing order.\nAnswer: m, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + z**2 + 0)*(-1 - 1 + 4)*(-1487 - 1377 + 2555) to the form y*z + d*z**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 942656 and 942656.\nAnswer: 942656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49827853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -62803241.\nAnswer: 62803240.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) -78 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42479627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000834 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18373*m**5 + 3*m**4*v - 9*m**3*v + 18474*m**2 + 2*m*v + 2*v wrt m.\nAnswer: -1102380*m**2 + 72*m*v - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.6? (a) -4 (b) 27 (c) -1\/2 (d) 1 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 55. Suppose -u - 2*u + s = 0. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4\/7, -2.\nAnswer: -22, -2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*o + 3. Suppose 2*s = 6 - o. Is s\/(-6) - (-13040)\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 + 55*o = 0 for o.\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.08842 rounded to 2 decimal places?\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/4 and -79\/816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 2*j**4 - j**4 - 108*j + 102*j**4 + 108*j + (-j + 0*j - j)*(2*j**3 - j**3 + 0*j**3).\nAnswer: 101*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 - 56.5208.\nAnswer: -27.5208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326191 minus 7?\nAnswer: 2326184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182912 or -489?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 488049\nAnswer: 11\/488049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/2)\/(f\/((f**(5\/2)*f*f)\/f)))**39)**(1\/8) assuming f is positive.\nAnswer: f**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 61 - 103. Suppose c = 4*q - 38. What is the common denominator of ((-40)\/(-125))\/(4\/q) and 41\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-983*h**4 + 1 + 976*h**4 - 2)*(0 - 3 + 5).\nAnswer: -14*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1665 and 72?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 1152.2501.\nAnswer: 1728.37515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*u + 506*f**3 - 946*f**2*u wrt f.\nAnswer: 12*u + 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-51)\/(-18) - 3). Let s = -3.4 + 5. Let o = 1.5 - s. Which is the nearest to o? (a) 1 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 + 16*n + 17. Let q be w(8). Sort -3, 25, q.\nAnswer: -3, q, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3491292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48201.04 micrograms?\nAnswer: 0.04820104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -93*i - 17926. Calculate f(-191).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 458771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4314, 17254, 38822, 69018, 107842, 155294, 211374?\nAnswer: 276082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0 - -17)*(-330)\/(-1485). Solve 0 = -g*j - 28 + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 16, 25, 34?\n\"Answer: 9*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -664 + -5?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5bfe6e - -5?\nAnswer: -5bfe69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1579*r + 1278*r - 119*r as k + o*r and give o.\nAnswer: 2738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -421, 5, 4 in decreasing order.\nAnswer: 5, 4, -5, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6712 + 46*r**3 - 6712.\nAnswer: 46*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 407768834 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 408 = 5*v. Calculate the greatest common divisor of v and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 61 = k, 483*b = -0*k + 4*k + 482*b - 69 + 381 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 26 - 208. Calculate the remainder when g is divided by 84\/14*2\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31001222 (base 5) to base 8\nAnswer: -750513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 1 j when three letters picked without replacement from knknjwkyknk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -1, -23.\nAnswer: -23, -1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h + h - 3*h to the form s + l*h and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -0*d + 10. Is 15 a factor of (494 + d)*48\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(22) - (sqrt(22) - sqrt(44)\/sqrt(2)))\/sqrt(2)*5 + sqrt(88)\/(sqrt(16)\/sqrt(32) + sqrt(8)) + 5.\nAnswer: 7 + 29*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.512231 minutes in microseconds?\nAnswer: 270733860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10\/7)*t*t)**29 assuming t is positive.\nAnswer: t**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/360*(-4)\/(-6) and 17\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**3 + 8*b**2 + 6*b - 2. Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a16 (base 13) in base 11?\nAnswer: 95a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7087 = -7102, -2*i - 13 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 6 = -5*b. Suppose -2*t + 111 = b*u - 0*t, u - 4*t - 9 = 0. Let j be (6\/20)\/(u\/6 - 2). Which is smaller: -2\/3 or j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03164253681 to 4 dps.\nAnswer: 0.0316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5229.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 2.5.\nAnswer: 2.5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {y: 1, l: 1, o: 1, r: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -0. What is the remainder when (-393)\/(-9) + 4\/(-6) is divided by 11 - 1*(1 - o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 62. Suppose -5*o + 3*h = -4*o - a, -h - 40 = -2*o. Let r(t) = t + 1. What is the remainder when o is divided by r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6395*f**5 - 5*f**2 + 255*f?\nAnswer: -383700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*25\/15\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414107 a multiple of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 772 + -771.6. Let n be (2*3\/(-12))\/(-3). Let i = -0.1 - 0.1. What is the closest to i in -2, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*i + 57 = 0, 10*i = -3*n + 5*i + 78. Does 4 divide (-455)\/n*6\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1890383*q*s - 5233420*s with respect to q.\nAnswer: -1890383*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126388\/93 - 1359. Let t = -61\/93 - k. What is the second smallest value in 3, 5, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/(48\/(-192))*616\/(-33)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6*s - 55. Suppose 4*r - l - 213 = -2*l, -l - 203 = -4*r. What is the remainder when r is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15291 (base 16) to base 2.\nAnswer: 10101001010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 22363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -2*o**2 + 1\/30*o**5 - 1\/8*o**4 - 1\/3*o**3 + 4 + 1\/60*o**6 + 0*o. Determine r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from qhhhqqqqqqqhh?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a factor of 1887868330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*u + 448*u**3 - 2*u + 25*u**4 + u - 900*u**3 + 451*u**3 to z*u**4 + q*u**2 + f + x*u + k*u**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - (-1 - -2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -330*d - 117. Let m be i(7). Let b = 4786 + m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 8. Let f(t) be the first derivative of -15*t**2\/2 + 7*t + 1. Is f(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 241314, 482676, 724042, 965412, 1206786, 1448164, 1689546?\n\"Answer: 2*u**2 + 241356*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.889747ug?\nAnswer: 0.003889747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from dpzzu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 12*u**3 - 2*u**2 + 0*u**4 + 11 + 0*u + 13\/12*u**5. Differentiate f(k) wrt k.\nAnswer: 130*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 8, n: 4, e: 1}. Give prob of picking 1 n, 2 x, and 1 s.\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -993887?\nAnswer: -993890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*m**6 + m**4*p + m**3*x**2 - 4*m**2*p + 3*m**2*x**2 - 11*m*p - p*x wrt m.\nAnswer: 24120*m**3 + 24*m*p + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32034.52 rounded to the nearest one hundred?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(190)*1*-1)\/(sqrt(360) + sqrt(360)*-3 + sqrt(100)\/(sqrt(40) - sqrt(10)) + sqrt(10)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-5 + 4*y + 5)*(y + 13 - 13).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499.83 rounded to the nearest ten?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d**3 + 11*d**2 - 6*d - 35. Is j(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/9))\/(h**(-2\/11)\/h*h)*(h*h**2)**1 assuming h is positive.\nAnswer: h**(436\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 - -133. Factor -2\/11*d + v - 14\/11*d**2 - 18\/11*d**4 - 30\/11*d**3.\nAnswer: -2*d*(d + 1)*(3*d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84318234995 - -607\nAnswer: -84318234388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/28 and 149\/12564?\nAnswer: 87948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 - 0.4. What is the second biggest value in 3\/4, -4, v?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 - 57 - 92 + 15119*m as b + p*m and give p.\nAnswer: 15119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 42*z + 46. Let i be n(22). Solve i*h = -4*k + 14, 44*h - 41*h - 17 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/(-988)*585\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00652 and 0.3.\nAnswer: -0.001956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.45, 717?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4858 = -23*r - 4014 + 7436. Calculate the lowest common multiple of r and 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -123*s - 616. Give l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -10, -3.2, 5, 79 in decreasing order.\nAnswer: 79, 5, -0.1, -3.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 35 = 5*u, -u = 3*p + 9 + 2. Let n = u + 34. Calculate the remainder when 56 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/4 + y**2\/2 - 8*y - 1. Let k be a(0). Let b = k + 12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1450562 and -1.8?\nAnswer: 2611011.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*j - 163*j + 44 = 0. Which is the nearest to j? (a) 18 (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 33*m**3 - 12*m**4 + 45\/2*m + 21\/2*m**5 + 12*m**2 = 0.\nAnswer: -1, 0, 1, 15\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8610.45 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 25, 6, 2\/3, -0.5, -30?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 456 - 455. Let y(m) = 1759*m**3 + 5*m**2 - 5*m - 1. What are the prime factors of y(a)?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4 - 5. Suppose -3 = 2*n - x*z + 18, 5*z - 23 = 2*n. Let y be ((-18)\/(-4))\/n - 0. Which is the nearest to y? (a) 0.4 (b) -0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8555 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.21555 times 1.998\nAnswer: 0.4306689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 206056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -748 - -747.9687. What is b rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/8)\/(7\/(-20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 111256755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 2224*r + 11106. Determine j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4471, 9549, 15229, 21511?\n\"Answer: 301*w**2 + 4175*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let k be (111 + (d - -1))*1. Suppose -2*o + k = -5*a, -o + a + 40 = 4*a. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -214, 1, -0.05, -1.27, -2, -1?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z + 6*z - 5*z + 15*z to the form t*z + c and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 10*c + 39)*(3*c**3 + 4 - 2*c**2 - 417*c + 6 + 416*c) in the form a*c + i + m*c**3 + j*c**4 + v*c**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 3*b. Suppose -14 + 2 = b*i. Let y = 33 + -29. Sort y, i, -1 in increasing order.\nAnswer: i, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 204, 203?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, b: 1}. Give prob of picking 1 b and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42661681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((2 + 0 + sqrt(175) + -2 + (3*sqrt(175) + 3 - sqrt(175)) + 0)**2 + 4).\nAnswer: -3174 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + -14 - 4) - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2035?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((11 - 6) + 10 + -24 + 0 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 54426983320931 - 54426983320931.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 96. Suppose -3*t - 5*j + 11 = t, -w = -5*t + 2*j. Solve 0*o + t = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - r + 11, -2*y = -0*r - 2*r - 8. Let h be (-2)\/y - (-56)\/(-10). Let d be (-18)\/24*16\/h. Solve 0 = -t - d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a + 24. Suppose -5*f + f - a = -3*u, 3*f - u + 18 = 0. Let y = -1 - f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 3*s**2 + s**2 + (2 - 2 - s)*(4*s - 4*s + 6*s) - s**2 - s**2 + 3*s**2 + (-s - 4*s + 2*s)*(3 - 3 + s) to the form u + c*s**2 + j*s and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let l = w + 0. Let t = l - 0.5. Which is the third smallest value? (a) t (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*d - 86*d + 63*d**2 + 1204*d - 495*d wrt d.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5084, 5061, 5014, 4931, 4800, 4609, 4346, 3999?\nAnswer: 3556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 + 6*i**3 - 3*i**4 + (-i - 2*i**2 + i)*(-5*i**2 + 2*i**2 + i**2) + (29 - 29 - 7*i**2)*(-2*i**2 + 4 - 4) - 3*i**4 + 3*i - 3*i.\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6733115 is divided by 534?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 9. Let j be (-25)\/(-10)*(-8 + 4). Determine t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 51*o + 417. Give u(-51).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -27?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2101101?\nAnswer: -2101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + d - 17, d + 0*d = 4*u - 23. Let k = 613 + -617. Sort 13, k, u in decreasing order.\nAnswer: 13, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3045753?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*c - 120068, -9*l = c - 13*l - 30004. What are the prime factors of c?\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44838, 44827, 44814, 44799?\nAnswer: 44782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 + 59 + 153 - 94 + 23)*(-4*t**4 + 0*t**4 + 0*t**4).\nAnswer: -1168*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1497.3 + 3.\nAnswer: 1500.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 11*x - 15*x + 25*x + 45 = 0, 0 = -5*n - 3*x - 26 - 59 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*18\/20*-100*(-38)\/760\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41597 is divided by 849.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) 18 (c) 1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581*w + 2868*w = -12341 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u + 11*u + 5*u**2 - 33 + 27*u. Let v(i) = -11*i**2 - 27*i + 67. Let j(t) = -6*v(t) - 13*y(t). What is the tens digit of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 3*q - 4*q. Let z(j) be the third derivative of j**5\/30 + 41*j**2. Calculate z(t(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2. Let j(m) = 2*m - 6. Let x be j(4). Let b(k) = -2*k**x + 3*k**2 - 3*k**2 + 0*k**2. What is c(b(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -71*a + 279. What is the hundreds digit of y(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 13. Let u be c(-4). Are -4\/3 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 503.32?\nAnswer: -502.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.1, -2, -5, -3589\/6, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -128. Let r = a + 59. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 (base 13) to base 15\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89, -42, -33, -86, -225, -474, -857?\n\"Answer: -4*j**3 + 5*j**2 + 60*j - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.85 - -26.85. Let o = 5 + -5.7. Which is the nearest to -1? (a) o (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-11))\/d)\/d**(-1\/3))\/(d\/(d**27\/d)*d*(((d\/(d*d\/d**(-2\/5)*d))\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(611\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*j + 2*j**3 + 54 + 3*j**4 + 288*j - 155*j + 6*j**2 to v*j**4 + i + f*j**3 + b*j + p*j**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29450 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -1. Let t = 562 - 2808\/5. Which is the nearest to 1? (a) t (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*o**2 + 48*o**2 - 70*o**2 + (3*o**2 - 3*o**2 + 3*o**2)*(-1 - 1 + 0).\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(2\/28). What is the derivative of -d**2 - p*d - 3 + 7*d wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kizielaelelllaa. What is prob of sequence eka?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and (4 - 5)\/(2\/(-16)).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95\/1898 - -135089\/21827. Let t = 6\/23 + h. What is the common denominator of t and 63\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - x + 33. Determine r(-5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 2240, 3376, 4530, 5708?\nAnswer: 6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Let w(k) = -4*k + 25. Let z(l) = 3*b(l) + w(l). Let m be z(-16). Let p(i) = m - 15 + 0*i**2 - 2*i**2. Let x(o) = o**2. Calculate p(x(n)).\nAnswer: -2*n**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36702 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: What is the next term in 24, 45, 66, 87?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + (sqrt(432)*-1)\/sqrt(12))*2)\/(sqrt(132)\/(sqrt(176) + sqrt(176)*1))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 4. What are the prime factors of l(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011100 - -101000?\nAnswer: 100010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -4*h - 13, 4*h = -5*l - 7. List the prime factors of l\/(-9)*-3107 + 44\/(-198).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4 = 4*r, 2*q - 5*r - 17 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -1524.02?\nAnswer: -1524.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8663.273 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/120 + l**5\/12 + l**4\/6 - 2*l**3\/3 + 25*l**2. Let w be (-1)\/((-18)\/(-10) + -2). List the prime factors of q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -11 - 13. Let o be c + (-3 - -4)*37. Suppose 0 = 5*u - 3*b - 9 - 32, -5*u + 5*b + o = 0. Solve m + 2*h - 19 = -3*h, 2*h = -m + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7529190.\nAnswer: 2, 3, 5, 113, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -247, -548, -853, -1162, -1475, -1792, -2113?\n\"Answer: -2*y**2 - 295*y + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-30 - -41 - 19) + (-1 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f + 133. Give j(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/6720 - o**5\/40 - o**4\/6 + 4*o**2. Let b(l) be the second derivative of j(l). Differentiate b(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/20*(1\/(18\/(-186)))\/((-29)\/(-116)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469327587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((-21)\/(-210))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:33 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11877\/13769?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-10)*(-8600)\/(-3440). Let d(v) be the second derivative of v**4\/12 + 2*v**3\/3 - v**2\/2 + v. Give d(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x*x*((x**(-1\/4)\/x)\/x)\/x)))\/x*x*x*x**6)\/(x**(-37))**(-27) assuming x is positive.\nAnswer: x**(-3977\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.078 - -2.922. Suppose 3*o - 3*n = -n - 5, 2*o - 5*n = -18. Sort o, w, -0.1, 0.4 in decreasing order.\nAnswer: w, o, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/((-1)\/(-2)). Suppose y - 6 = -w*y. Suppose -y*b = b - 84. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639951282 to the power of 1\/2, to the nearest integer?\nAnswer: 40496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puqquuqzqupzuqpququ. Give prob of picking 2 z.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3236 to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -7, 11, 1, -1 in decreasing order.\nAnswer: 11, 3, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 t when four letters picked without replacement from {e: 5, t: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y + 18. Let w be n(6). Let l = w + 28. Is (-10)\/3*948\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*v)*(33 - 2 - 9)*(-4*v + v + 4*v)*(-10 + 1 + 5) to the form h*v + d + i*v**2 and give i.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-6)\/(d\/d**(-24\/5)*d*d**(-16)))**(-17) assuming d is positive.\nAnswer: d**(-4454\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s + 1. Let u(d) = 5*d. Let a(k) = -6*r(k) + 13*u(k). Let n = -93 + 109. Calculate the least common multiple of a(4) and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -712*o**2 + 20610*o - 259443889.\nAnswer: -1424*o + 20610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -20. Suppose -o - 5 = 0, 7*i - 5 = m*i + o. Solve i*b + 6 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (16 - 27) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/18*(-54)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from {s: 2, n: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*z + 30, -5*c = 2*z + 16 + 10. Find the common denominator of 25\/(-8)*76\/(-10) and (2 + 0)\/(z\/(-83)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -2\/3 (c) -1070 (d) -0.1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(720))**2 + -3 - (3*sqrt(20)\/sqrt(4) + (sqrt(5) + sqrt(20)\/(sqrt(144) + sqrt(4)))**2))*-3.\nAnswer: -105174\/49 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p. Suppose 5*j + 16 = -x, 5*x - 7*j - 28 = -5*j. Let t(w) = 45*w. Give x*t(n) + 21*s(n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*k - 180*k + 584*k + 372*k - 35*k.\nAnswer: 986*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, 1, 5, -12, -4, 114 in descending order.\nAnswer: 114, 5, 1, -1, -4, -12, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.5, 2\/149, 6.79, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5073598?\nAnswer: 2, 2536799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 352*u + 5244 - 5244 + (-2 + 3 - 3)*(-2*u + 7*u + 24*u).\nAnswer: 294*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjhhjhhh. What is prob of picking 1 j and 2 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -65*n**3 + 7. Let w(d) = -67*d**3 + d**2 + 6. What is 3*q(x) - 4*w(x)?\nAnswer: 73*x**3 - 4*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 16*k + 47. Give n(15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 6*n - 28. Let f(x) be the first derivative of 0*x + 16\/7*x**3 + 4\/7*x**2 - 14\/5*x**5 - 3 + 3\/2*x**n. Factor f(y).\nAnswer: -2*y*(y - 1)*(7*y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(6\/5)*c\/(c*c\/(c*c**(-1\/10))*c)*c*c**(-1\/8)\/(c**2\/c))\/((c\/(c*c**0)*c**(-1\/2)*c)\/((c*c**(-3)*c)\/(c*c**(-5)))) assuming c is positive.\nAnswer: c**(139\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120937, 121248, 121555, 121858?\n\"Answer: -2*t**2 + 317*t + 120622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 - -220. Suppose 4*l - 19 = 3*p, -2*l - l - g*p = 17. Let z(j) = j - 3. Let k be z(5). Solve k*t + 3 = l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 - -448. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262752950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 67 + 1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 17*n**2 + 2*n - 8*n**2 + 12 - 12*n**2 - 16. Let b(k) = -4*k**2 + 10*k - 11. Let l(y) = y**2 + y. Let q(w) = b(w) - 5*l(w). What is 11*d(i) - 4*q(i)?\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:03 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + q + 1. Let s(u) = u + 5. Let b be s(-4). Let m(a) = 4*a**3 + 10*a**2 - 2*a - 17. Let f(x) = b*m(x) - 3*p(x). Is 17 a factor of f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 462, 463, 464?\n\"Answer: g + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412429 is divided by 95?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54199\/7 + -7769. Let m = 3142\/119 + f. Suppose y = -y. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398491 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: Let a(p) be the first derivative of 2*p + 20*p**3 + 0*p - 3*p + 2 - 2*p**3. Calculate the remainder when a(1) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*d - 3. Suppose -d*r + 10 = -2. Calculate the greatest common factor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3443582642 to the nearest integer?\nAnswer: 58682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 63*j - 317. Let y(g) = 10*g**2 - 127*g - 633. Let d(a) = -7*m(a) + 3*y(a). Factor d(v).\nAnswer: -5*(v - 16)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(448) + -2 + 4 + 3 + (5*(sqrt(112) + sqrt(112)*2 + sqrt(112)))**2 + -3 + 1*sqrt(112)).\nAnswer: -224010 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/4 - -113\/20. Let d = z + -4\/5. What is the closest to -2 in d, -4, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - 9*d + 13. Calculate the remainder when 398 is divided by i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 204\/(-16 + 50)*(3 + 1). Solve -5*m = -4*d + 2*d - 23, 4*d - i = -4*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 5 + (10\/(-5) - 479). Let z = -1287 + s. Round z to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 84.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h - 24 = 0. What is the greatest common divisor of 96 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306 + -117. Suppose 83 = f + 4*z - 150, -2*f - 3*z = -486. Suppose 3*p - 3*n - l = 0, 4*p - 2*n - f = -n. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 136*y - 156213 - 73219. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -188992 at least as big as -1511945\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 1.1. Let d be -4 + ((-36)\/(-8) - (-20)\/(-8)). Which is the second smallest value? (a) o (b) d (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -344*u - 2408. Let j(k) = -k - 4. What is -1806*j(q) + 3*o(q)?\nAnswer: 774*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**4 - 16*q**3 - 46*q**2 + 2*q. Let y(c) = 2*c**4 + 15*c**3 + 45*c**2 - 3*c. Let n(b) = 3*x(b) + 2*y(b). What is the third derivative of n(p) wrt p?\nAnswer: 24*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 2*l**4\/3 + 3*l**3\/2 - 6*l**2 + 3*l. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/17? (a) 0.5 (b) 4\/5 (c) -0.5 (d) -3\/73 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 5. Suppose -15 - 1 = 4*d. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**3 + 60*l**2 - 950*l + 1682. Let t(z) = z**3 - z. Let b(k) = 21*t(k) + 3*w(k). Solve b(r) = 0.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**3 + 7*h**2\/2 + h + 1. Is c(-5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596028467.\nAnswer: 3583, 166349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 z when four letters picked without replacement from cczzzc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - t + 3 = 0, 0 = 2*b - 28*t + 42*t - 16*t - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4168 = 27*n - 23*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q - 53. Let c = q + 63. Solve -h = -5*t - 14, 3*t = 2*h - 3*h - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99 + 1?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/3 + 740*p**2\/3 + p\/3 - 740\/3 = 0.\nAnswer: -1, 1, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -2) + (3 - 15 - 2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 151939 divided by 20?\nAnswer: 151939\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29512 and 17640?\nAnswer: 9296280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*s - 137 - 736 = 645. Let x be (-1)\/((-2)\/4) - -2. Let q(t) = -t**2 + 5*t. Let f be q(x). Solve -y - 2*d = s, 0*d = -5*y - f*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (-4)\/1)\/((-35)\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 192277*v**2 - 198*v - 156970653 wrt v?\nAnswer: 384554*v - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54\/5 of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -111100110?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 8 = 4*c + 2*l, -8 = 2*l. Suppose 2*u - 6 = -c. Suppose 63*p - 5*p - 696 = 0. What is the greatest common divisor of u and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 713, 1673, 3101, 5045?\nAnswer: 7553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0.3 (c) 3\/8 (d) 1\/188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 2 h when four letters picked without replacement from {q: 2, a: 3, o: 2, h: 1, f: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*f + 5)*(414 - 481 - 864 - 996).\nAnswer: 9635*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4\/7, 0.14, -4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182685.\nAnswer: 5, 29, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 3 (b) 0.0401 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -0.3 (c) -16103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.626407 + -3.626. Round w to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 79510266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 - 240. Let m = -0.05 - 0.05. Let w = -8 - -8.3. Which is the biggest value? (a) -2\/5 (b) w (c) m (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 1 - 2 + 17*m + (-4 + 2*m + 4)*(1 - 1 - 2))*(185 + 265 - 1008).\nAnswer: 558*m + 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(0*i - i + 2*i) - i - 4*i + 6*i + 49*i + 4049 - 4049)*(0*i - 3*i + i).\nAnswer: -102*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 2 + 2*o**2 - 2*o**2 - 4*o**2 + o**2 + 0*o**2 + o - o - o**2 + (-o + o + o**2)*(-3 + 2 - 1).\nAnswer: -5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*v + 14 = 0, 3*a - 8 = 5*a - 2*v. Let n(i) be the second derivative of -i**3\/6 - 3*i. Let w(l) = 5*l - 1. What is a*w(z) - 6*n(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + (15 - 11)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let d(b) = b**2. Let h(p) = 5*d(p) - 3*q(p). Let l be 66\/15 + (-12)\/30. Let w(u) = -l*u + 4*u + 5*u. Give h(w(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/6, -3.3, -4, 3, -4\/5 in ascending order.\nAnswer: -4, -3.3, -4\/5, -1\/6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 - v**4\/2 - 2*v**3 - 17*v**2. Let r be i(-9). Find the first derivative of -4 + r - 3*x + 0*x + x wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 - 3*r**3 + 0*r**3 + (-6*r**2 + 5*r**2 - 8*r**2)*(0 + 0 - r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -12, -1, 24, 69, 140?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {o: 13, r: 3}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 208*p**2\/7 - 9084*p\/7 - 8856.\nAnswer: 4*(p - 82)*(p + 9)*(p + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 95 + 2080. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13*g - 472 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 - -2)\/(-3). Suppose -4*z = k + 6. Sort z, 3, -1 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -312*b**2 + 8826*b + 17660. Determine u(-2).\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 3*n**2\/2 + 1. Let u(s) = s + 5. Let q be u(-5). Suppose q = -3*d - 6. Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 451 + -61?\nAnswer: 3d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15363, -12014, -8669, -5328, -1991, 1342?\n\"Answer: -2*s**2 + 3355*s - 18716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-320)\/6)\/(1352\/(-507))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 + l - 1. Let s(d) = 28*d**3 + 30*d**2 - 9*d + 9. Let x(w) = -18*n(w) - 2*s(w). Find the third derivative of x(t) wrt t.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/(188\/(-1128)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/9 - 97142*t\/9 - 28866656\/9 = 0. Calculate t.\nAnswer: -48272, -299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/3278 and -46\/447.\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431007 is divided by 25348.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 87 = 37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l**(-4)*l*l**(-1)\/l*l**(1\/19) assuming l is positive.\nAnswer: l**(-94\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 2*l**2 + l + 21. Let m be a(0). Suppose -3*i - 3*h = -h - 102, i = -5*h + m. What is the highest common factor of 72 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*m - m + 52*m.\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006304 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m + 4*m. What is the lowest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1410 and -163\/1410.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2, 3, 4\/3417, -9.4?\nAnswer: 4\/3417","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -4. Let w(q) = -5*q**2 + 302*q + 620. Let f be w(-2). Sort c, -19, f, 2 in descending order.\nAnswer: 2, c, f, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226 - -319. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 5. Suppose -3*y - 7 = -4. Suppose 3*p + 2*p = -10. Sort o, y, p in descending order.\nAnswer: o, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-110) + (-86)\/11. Let u = -2 - 0. Let h be (g\/(-4))\/(u\/(-1)). Which is smaller: h or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406177761 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 8*p - 10. Let j be f(-5). Let i be 10\/j*2 + 275. Calculate the highest common factor of 31 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 2, c: 3, z: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 136, 272, 408, 544, 680, 816?\n\"Answer: 136*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32236 (base 10) to base 13.\nAnswer: 11899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58199 (base 14) to base 13\nAnswer: -76756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*d + 68 - 12, l + 30 = 3*d. Suppose 0 = -2*g - d + 31. Suppose 3*f + 5*o - 207 = 8483, 5*o = -g. What is f rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 5, -1540, -4246 in increasing order.\nAnswer: -4246, -1540, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 - 4*j. Let c(t) = 2*t**2 - t. Let l(y) = -22*c(y) + 4*m(y). Let d be l(2). Let n = 4 - d. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186733687 minus 7.1?\nAnswer: -186733694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83486 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*h, -h - 17*v = -13*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*m = -103, 2*m + m = -2*j + 53. Solve -2*w - j = -4*c, -3*w + 9 = 5*c - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 9*a - 3003. Calculate the greatest common factor of 189 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -44. Suppose -2*x = n*x - 2604. What are the prime factors of x?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257828220 by -65.\nAnswer: 3966588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*x - 51 = 0, -7*v + 20 + 16 = -3*x - 7 - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -4*p, 3*p - v + 11 = -12. Let j(m) = -10*m**2 - m + 6. Let k(s) = 21*s**2 + 2*s - 13. What is p*k(u) - 13*j(u)?\nAnswer: 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169\/82 - 1603\/738. Let k = 0.4 - 0.5. What is the biggest value in k, -1\/4, -92, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 12*d + 7. Let p be n(-6). Suppose 0 = -9*a + p*a + 6. Solve h + 2*f + 2 = 0, -a*h + 3*f = -2*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from trtttjtjrfttttrjtttt?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 32428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435502 and 2712?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 - 7*s**2 - 4*s**2 + 2 + s**2 - s. What is the units digit of b(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 4*v**2 - 4*v. Let l(p) = 5*p**3 - 9*p**2 + 2*p. Let s(i) = -2*i**3 + 3*i**2 - i. Let g(t) = 4*l(t) + 11*s(t). Calculate -4*g(m) + 3*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, z: 2, k: 1, d: 2, b: 1}. What is prob of sequence bkz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**3 - 7*x**2 + 4*x - 13. Let d(a) = 3*a**3 - 3*a**2 + 2*a - 6. Let p(s) = -9*d(s) + 4*m(s). Let r be p(2). Solve -r*w = -6 - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/8*f**4 + 0*f - 3\/5*f**5 + 0*f**3 + 0 - 2*f**2. Find the second derivative of j(h) wrt h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 3188 - 603. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 7, a: 1, x: 1, i: 9}. What is prob of picking 1 y and 1 x?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(6 - (-225)\/(-27))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -1 (b) -3853 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (45 + 1142)*(2*1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-102) + -1 + 134\/132. Factor 0*p**2 - 2\/11*p**3 + 0*p + 0 - b*p**4.\nAnswer: -2*p**3*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/(-132) + (-146012)\/(-6) + 8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 36. Suppose 0 = -3*t - 0*t + q. Solve -3 = d, t*d = -3*f + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 32, -0.5, -5\/2, 2\/15 in decreasing order.\nAnswer: 32, 2\/15, -0.5, -5\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:22 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.8. Let f be 6\/(-11) + (-3135)\/(-2420). Let d = 1 + -1. What is the closest to -1 in f, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 + 216312*m**2 + 2924430084*m = 0. Calculate m.\nAnswer: -27039, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051250882 less than -5?\nAnswer: -1051250887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + 1 + 56 + -52.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3 - o - 7*o**3 + 8 - 4*o**2 - 9. Suppose -3*f - f - 24 = 2*s, -11 = 8*s - f. Determine r(s).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 9*s + 1. Suppose 7*q = 2*q + 40. Let h be d(q). Sort h, 3, -4 in increasing order.\nAnswer: h, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84565 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 7\/5, 124476, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -316, -691, -1072, -1459, -1852?\n\"Answer: -3*a**2 - 366*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 5, t: 2, k: 2}. Give prob of picking 1 y, 2 v, and 1 k.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16535 and 13445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.165 + 49.535. Round s to zero dps.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - -58. Calculate the remainder when n is divided by 16*(-9)\/198*-11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2087, 5, -5, 28, -3 in decreasing order.\nAnswer: 2087, 28, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -239*o + 416. Let g be l(2). Sort 1, 2, -3, -2, g in increasing order.\nAnswer: g, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7776732 (base 10) to base 7.\nAnswer: 123046455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 46 (b) -629 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.291 + 0.291. Let c = 27 + -32. Let j be ((-1)\/2)\/(c\/20*-2). Sort j, 1\/5, n.\nAnswer: n, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 300*b**2 + 589*b - 2865. Give y(-152).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1. Let i be d(6). Let f = -0.102 - -12.102. Let s = -14 + f. Put 0.1, -0.5, i, s in ascending order.\nAnswer: i, s, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -5. Let c(n) = -n**2 + 9*n - 9. What is the units digit of c(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 2. Let s(z) = z**2 - z - 2. Let k(m) = 5*s(m) - 6*x(m). What is the tens digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.049, -2.4, -3, -127, 26.\nAnswer: -127, -3, -2.4, 0.049, 1\/7, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 b, and 1 e when four letters picked without replacement from uvepb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67017 = -4*o + 5*y + 67008, 3*y - 7 = 2*o - 2*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + 3. Suppose -4*m + 5*a + 22 = 0, -5*m + 43 + 3 = 3*a. Let g = q + m. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 less than -108103020.13?\nAnswer: -108103341.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 38*f + 62. What are the prime factors of g(7)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 480 = 5*q, 5*u = -2*q + 78 + 107. Let z(r) = -11*r**3 - 2*r**2 + 3. Calculate the remainder when z(-3) is divided by q.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -78 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1069 and 131.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1303962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -523*z**4\/2 - z**2 - 2440*z + 10843. What is the first derivative of p(b) wrt b?\nAnswer: -3138*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/23 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -63. Let g = -284 + 332. Let j = h + g. Solve a = -2*a - j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 10 - 6, 0 = -k - 3*j - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3\/2)*n*n))\/n*n\/((n*n**0\/n)\/n)*n)**36*(n*n\/(n\/n**1))**(-19)\/(n**(-2\/3)\/n*n\/n**0*n*n) assuming n is positive.\nAnswer: n**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01700097 + 0.017. Round k to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 230. Put 3, 5, -3, d in decreasing order.\nAnswer: 5, 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 3*g**7\/70 + g**5\/10 + 8*g**2. What is the third derivative of t(p) wrt p?\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 - 3202*m**4 + 6426*m**3 + 22450*m**2 + 12824*m = 0. What is m?\nAnswer: -1603, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*y - 59*y + 9180 = 32*y - 78*y for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 679*t**2 + 143*t - 5. Does 9 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.002 + 0.052. Is -5 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. What is the smallest value in 1\/7, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g\/((g\/g**(-3))\/g*g*g))\/(g**(-4\/5)*g**(-2)))\/((g**(1\/3)\/(g*g**(-2\/15)*g))\/(g**0)**7) assuming g is positive.\nAnswer: g**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20*z - 218. Let g be v(-11). Suppose -3*p = 0, -2*p + g - 12 = -y. What is the remainder when 46 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 136511 = -0*t - 3*f, 7*t + 2*f = 477726. List the prime factors of t.\nAnswer: 2, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 141. Suppose 11*a - 66 = q*a. Let p = -26 - -48. What is the highest common factor of a and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = -9. Suppose 6 + 24 = 4*f - 2*v, -v = 4*f - 15. Suppose 5*x - 40 = -f*o, -19 = -2*x - x + 2*o. What is the lowest common multiple of w and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569964, 1139918, 1709872, 2279826, 2849780?\nAnswer: 3419734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2375 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 4*b - 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, v: 7, l: 1, f: 2, i: 3, m: 3}. What is prob of picking 1 v, 1 l, and 1 f?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2484 and 8033808.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 2*v**2 - 4*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -19. Let i = 37 - j. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abj when three letters picked without replacement from {a: 1, j: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*((-8)\/(-2))\/((-6)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 - (-24037)\/6. Let c = -4020 + x. What is the common denominator of c and 5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d**2 - 1902*d - 20727. Calculate l(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38490399 is divided by 1241625.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(6 - (-1 - -6)))\/4. Put -3, 4\/7, 1\/13, x in ascending order.\nAnswer: -3, x, 1\/13, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Let r = 7 - q. Let v = r - 2. Solve v*a = 3 - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/12 + k**3\/2 - 5*k**2\/2 + 15*k + 1. Let m = 4 - 6. Let g(b) = b - 2. What is m*y(r) + 5*g(r)?\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867896531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-25410)*28\/(-2)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*80\/25. Suppose 23 = 3*c - 4*g - 19, 2*c + 4*g - r = 0. Solve 0 = m + m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 211, 225, 229, 217, 183, 121, 25?\n\"Answer: -n**3 + n**2 + 18*n + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 598512 divided by -2\nAnswer: -299256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2. Let m(j) = -75 + 152 - 77 + 17*j**2. Determine m(x(a)).\nAnswer: 1700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 844246316.3143878 + -1012712929.71441. Let i = -168466634 - j. Let x = 20.6 + i. Round x to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 365, 0.3, 0.46 in decreasing order.\nAnswer: 365, 0.46, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(2\/34 + 0). Suppose -5*a + 27 = -b, 2*b - b = -2*a + 8. Is 13 a factor of s\/(-2)*(-2)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-126 - 21) - 102?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 765\/2550 + (-3 - 78\/(-40))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 19*z**3 - 3*z**3 - 51*z**3.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 33*j + 15*j - 136*j - 96*j.\nAnswer: -250*j + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.14 (b) 1 (c) 40 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, c: 1, w: 2, a: 1, t: 1}. What is prob of sequence wc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342471 and 9?\nAnswer: 1027413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -l - 4*l. Suppose t + 290 = 255. Calculate the remainder when l is divided by ((-30)\/t)\/(-3 + (-88)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.07 (b) 51\/56 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1834 - -6447. Is g 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 -989, -1007, -1031, -1067, -1121, -1199, -1307, -1451?\n\"Answer: -u**3 + 3*u**2 - 20*u - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069512 to 3 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*n**5\/2 + 3805*n**4 + 20085*n**3\/2 - 19975*n**2 + 6140*n = 0. What is n?\nAnswer: -4, 0, 2\/5, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284 and 52.\nAnswer: 3692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36453, -73966, -111465, -148944, -186397, -223818, -261201, -298540?\nAnswer: -335829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35620719.\nAnswer: 3, 59, 201247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from hwklwhloa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 808 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.35 - 25.55. Let o = -2 + 2.1. Let u = o + 4.9. Sort y, u, -1 in decreasing order.\nAnswer: u, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/60 + d**4\/12 + 4*d**3\/3 - 3*d**2. Let y be z(-6). What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3527 + -5a?\nAnswer: 34bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1823088 and -87\/6684656.\nAnswer: 20053968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -308*c*m + 21*c - 8*m**2 - 52 wrt m.\nAnswer: -308*c - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 + 4 - 4 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 49*c - 11. Determine k(3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838263 to the power of 1\/2, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(1\/2)*q)\/q)\/q*q\/q**1)\/(q**(1\/3)*q\/(q\/(q*q*q*q**(-1\/2)))))\/(q**6\/(q*q**(1\/3)))**(2\/115) assuming q is positive.\nAnswer: q**(-1178\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111031*5.52\nAnswer: 612891.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-890)\/(-2225))\/((-2)\/(-130)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -15*a - 408. Let z = 116 - a. Suppose 0 = -z*k + 64 + 6. Solve 7*d = k*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-6*sqrt(2)*-5) + sqrt(50)*-1 + ((sqrt(2) + 2)*-6 - sqrt(2)).\nAnswer: -359*sqrt(2)\/30 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h**3 - 2*h**3 + (2*h - 4*h + 0*h)*(-h**2 + 3 - 3) + 0*h**3 + 0*h**3 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38 and -71?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -2*o - 118, -4*k = -12. Let n = o + 135. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94*276\/2162*(-1)\/(-42) - (-262)\/14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z + 30*z + 180 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*n + 2*g, 0 = n - g - 2 - 1. Let s(p) = 2*p - 3. Let c be s(2). Suppose 3*d = 17 + c. Solve n*y = d*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 4*m + 4. Let u(d) = 11*d**2 + 7*d - 9. Let q(n) = 4*u(n) + 9*z(n). What is the units digit of q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 14149. Let g(n) = -3*n**2 - 44*n. Give g(z(h)).\nAnswer: -3*h**2 - 84938*h - 601205159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -0.54 (c) 11 (d) -3 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269.97 + -274. Let u = 0.97 - y. Which is the second biggest value? (a) 0.2 (b) 2 (c) u (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6 - -4. Suppose 0 = -75*q - 765 + 390. Put 2, u, 2\/7, q in decreasing order.\nAnswer: 2, u, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9*(-3)\/2. Let v(r) = 283 - 138*r - 80 - 127 - 77. What are the prime factors of v(q)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) -2\/35 (b) -1 (c) 1\/2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:12 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 - 282242*w**3 + 37*w**2 - 564*w + 135.\nAnswer: -12*w**2 - 1693452*w + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 4*u - 12 = 3*r, 0 = 4*u. Suppose n - 3*n = 5*q - 81, -4*n + 92 = -r*q. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -1.26.\nAnswer: 41.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 90. Calculate the greatest common divisor of b and 1458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*g = 1309*g + 32571 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148837.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/9624 and -59\/33.\nAnswer: 105864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 11*w. Let d be y(-11). Suppose 5*t - 4*k = 4259 - 195, -4*t - 3*k + 3276 = d. Let q be (1\/(-4))\/((-228)\/t) - 1. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/4 in 0.08, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*f - 18960 = 48658 + 139732. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1632)\/(-18)*-3*4\/(16\/(-6)) and 714?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -36, -74, -126, -192, -272, -366?\n\"Answer: -7*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:13 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*p - 11, -68*q = -73*q + 3*p - 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045756 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382223 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -6, 55, 152, 291, 478, 719?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285204 and 522874.\nAnswer: 3137244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9832546 = 9832592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 22*i + 244. Let k be q(-11). Suppose k*l - 3*g = 37157, 4*l + g + 3*g = 74344. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3835?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -146. What is the second biggest value in -5, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2111 - 8289 = -65*g. What is the greatest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748777797 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -56*u**2 - 3*u + 41. Let h(l) = -57*l**2 - 3*l + 49. What is 5*h(j) - 6*o(j)?\nAnswer: 51*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -0.2, 2\/5, -1, 0.2281, 1\/5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/105 + x**5\/5 - 2*x**4\/3 + x**3 + 26*x**2 - 2*x. Solve n(m) = 0 for m.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 1. Let r(p) = -33. Let l(n) = -r(n) - 2*t(n). Is 7 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 17 - (-7 - (29 + 3))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/2)\/((-8)\/(32\/(-2)))*(-4)\/24\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(-12) + (-2)\/(-4). Suppose -4*h + o + 20 = 0. Let u(y) = -y**2 + 7*y + 3. List the prime factors of u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 36*p**2 + 3*p - 1. Let x be f(1). Suppose -5*s = -3*s - x. What is the highest common divisor of s and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-34) + 120\/(-2448)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = o + 3*z - 8*z, -5*z - 10 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, a: 4}. What is prob of sequence hha?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -42 in ascending order.\nAnswer: -42, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(132) - sqrt(132))\/sqrt(11))\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3509, -9900, -27247, -61028, -116721, -199804?\nAnswer: -315755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -22.58. Let d = k + 0.02. Round d to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*v - 2*f = -381*v, 0 = 6*v + 5*f - 28 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/3044520 and -119\/648.\nAnswer: 9133560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 138?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w*w*w*w**(2\/11)\/w)**(1\/13))**(8\/5))**(2\/129) assuming w is positive.\nAnswer: w**(112\/18447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 15*a + 3. Let f(g) = -g**2 - 2*g. Let d(u) = -b(u) + 2*f(u). Differentiate d(z) with respect to z.\nAnswer: 4*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by ((-18)\/(-10))\/3*(4 + (-2058)\/(-18)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 2*b = -2, -2*a = 4*b + 4. What is the remainder when 728\/21 + a\/(-6) is divided by (24\/(-10))\/(4\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-435)\/168 - (-2)\/(-4). Let i = p - -27\/8. Let y = -0.25 + -0.05. Which is the third smallest value? (a) 2\/3 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 1070*y\/3 - 12096.\nAnswer: 2*(y - 567)*(y + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -12*c - 12. Suppose -c*w + 9 = w, o + 2*w - 11 = 0. Solve -2*k + k + o = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2*-12)\/((-4)\/(-2)). Suppose 24*d = r*d + 60. Solve -d*u - 7 - 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -51*w + 332. Determine r(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7893 + -3730. Let l = h + -4170.092. Let p = l + 0.092. Put p, -4, -5 in descending order.\nAnswer: -4, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsy when three letters picked without replacement from {r: 2, q: 1, y: 1, a: 2, f: 1, s: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 398 - 82 = 0. Solve 55 = -6*c - f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001949276956 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -d = 3*d - g - 11. Let h be 90\/855 - (0 - 6\/(-57)). Suppose 9 = 4*b - b. Solve -d*t + 3 = -b*j - h, j + 1 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -273331911 and 0.02?\nAnswer: 273331911.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 1\/20*h**5 - 4\/3*h**4 + 58*h + 0 - 1\/3*h**6 + 0*h**2 + 0*h**3. Find the third derivative of s(c) wrt c.\nAnswer: -240*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 + 2 = 0. Let g be ((-3)\/9)\/(u\/(-30)). Solve 0 = -5*z - 10 - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11557?\nAnswer: 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -15*b + 313. What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 93. Suppose -5*j + 2*j + q*x = -3, -2*x - 1 = -5*j. List the prime factors of (68\/j)\/(6\/(-12)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246864557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -85.97968.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145220 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 7449*g**2 + 494605*g - 701. Give x(67).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 147920 divided by 4\nAnswer: 36980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.5 (c) 1 (d) 3 (e) -35 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245 + 5?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 638*g - 3*u + 5733, g + 54*u = 51*u - 18 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22885 (base 10) to base 2\nAnswer: -101100101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42311.1052 rounded to the nearest integer?\nAnswer: -42311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-15 - -5)\/(-5)). Let j(q) = q**3 + q**2 - 2*q + 18. Is 9 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 879364 + 11?\nAnswer: 879375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**26\/u*u))\/u)\/u)**(-9)\/((u*u**(-4\/31))\/(u**15*u)))**(-14) assuming u is positive.\nAnswer: u**(-112028\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**3 - 835*x**2 + 4*x - 2. Let d(y) = -29*y**3 - 4173*y**2 + 22*y - 11. Determine -2*d(l) + 11*r(l).\nAnswer: -8*l**3 - 839*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/(2814\/19899).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2)*(-14)\/(-28))\/((-1)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 0*o**4 + 0*o**4 + o - o**4 - o + (-4*o**2 + 4*o**2 - o**3)*(o - 2*o + 3*o) - 3 + 3 + o**4 + o**2 - 2*o**4 - o**2.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:56 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 + 57*p + 26. Let s be w(16). Let x = -574 - s. Calculate the remainder when 71 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1393023 in 3, 0, -0.5, 0.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(-147)*(-10)\/23. Let w = b - -1198\/1449. What is the nearest to w in 2\/3, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20052495019 + -188.\nAnswer: -20052495207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -192, -111, -46, -3, 12, -7?\n\"Answer: -t**3 - 2*t**2 + 94*t - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -28826?\nAnswer: 28827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, y: 5, x: 4, i: 6}. What is prob of picking 1 x and 3 d?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i**3 - i**3 - 2*i + i. Let j(q) = 5*q**3 + 3*q**2 + 7*q + 1. Let s(p) = -j(p) - 4*n(p). Factor s(c).\nAnswer: -(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*b**3*g**2 - 331*b**3*g - 162*b**2*g**3 + 949*g wrt g?\nAnswer: 248*b**3 - 972*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = z - 1870, 3*m - 1866 = 3*z. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3*m**5\/80 - 125*m**4\/16 + 719*m**3\/8 - 1785*m**2\/8 - 6881*m. Let g(h) = 0. What is h?\nAnswer: 1, 5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - 2.68. Let f = 204 - 205. Is u at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*0\/(((-21)\/(-1))\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -610.8?\nAnswer: 1221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616 less than -4347?\nAnswer: -7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 + 3*z**4 + 0*z**4 + (-1 + 1 + 1)*(-3*z**4 - 4*z**4 + 5*z**4) to p*z**2 + v*z**4 + s + l*z**3 + h*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 6*v + 504. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/27, -8, -1\/22 in descending order.\nAnswer: 2\/27, -1\/22, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 - 2*v + 56 = 0. What is v?\nAnswer: -21, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6096*a**2*o**2*w + a**2*o + 30*a**2*w - 24*a*o**2*w**2 + 2*a - 6*o**2 - 51*o*w**2 + 6*o + 2*w**2 wrt o?\nAnswer: 12192*a**2*w - 48*a*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/3, -0.02, 1, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32459392 divided by 119336.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*s + 40 + 95, -5*d - 100 = -2*s for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432735 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 41*v = -43548. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2509365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-9) - (-8)\/36. Suppose 0 = -6*o + 5*o + 3. Suppose j + 15 + q = -o*b, -2*b - 4 = -3*j. Is j equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 42 + 2*h + h**2 + 34 - 5*h. What is the units digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8838*b - 16147*b - 1122*b.\nAnswer: -26107*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -676.7833\nAnswer: -2707.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30283650 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 80632, 161278, 241926, 322576?\n\"Answer: w**2 + 80643*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.078 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(50) + -1 + -5 + 2)**2 - (5 + -3 + 4 + sqrt(72) + sqrt(72) + 1 + sqrt(72))**2.\nAnswer: -646 - 262*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 5*a + 10*a to the form w*a + d and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 1, s: 3, i: 4, l: 1, t: 1}. What is prob of picking 1 i and 2 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 10*g - 10. What is k(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5243 = -2*c, -a = 5*c - 5300 - 7782. Let q = c - 47035\/18. Find the common denominator of -3\/5 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169273442 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4004, 4007, 4012, 4019, 4028, 4039, 4052?\n\"Answer: f**2 + 4003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 1 = 17. Solve -s = -3*x - 5*s + 27, -a*x = s - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -383 + 382.99. Is 2 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**3 + w - 1\/4*w**4 + 2 + 0*w**2. What are the prime factors of n(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-513)\/(-95))\/9)\/(38\/(-2660)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86026 - -145893. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 2*o + 7*o)*(18*o**3 + 35*o**3 + 10*o**3) as r*o**4 + p*o**3 + m*o + i*o**2 + g and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -2 - -1 - ((4 - -27) + -22) - -27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 63872311.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565218.\nAnswer: 2, 107, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -42291*37\nAnswer: -1564767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2746110*i**3 + 3962614*i**3 - 7117*i**3 + 4097257*i**3.\nAnswer: 10798864*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623611583.\nAnswer: 3, 11, 1031, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 11:39 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 744 or 743?\nAnswer: 744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/4, -4, 17609 in decreasing order.\nAnswer: 17609, 1.1, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z*z**(-36)\/z*z)\/z)\/z*z)\/z**(-8))**(3\/5))**(5\/12) assuming z is positive.\nAnswer: z**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) 0.1 (b) -2\/13 (c) 3\/542 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -174946772 - -166\nAnswer: -174946606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 1\/8 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/40 - v**5\/10 + v**3\/6 - v**2 + 2*v. Let n(b) = 2*b**3 + 5*b**2 - 1. Let j = -153 + 157. What is j*d(o) + 5*n(o)?\nAnswer: -2*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:02 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1233 and 13?\nAnswer: 16029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 7, 3 in decreasing order.\nAnswer: 7, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147.02 + -146.02. What is the fourth biggest value in -2\/7, 5, p, 45?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*t - 277 = -1997 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 50399.\nAnswer: 50399.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 4*o - 2. Let g be x(1). Suppose -u + 673 = 5*y, -3*y + 415 = -5*u - g*u. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551873 - 3186.\nAnswer: 1548687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.5. Let d = 2 - 1. Let x = d - q. What is the second smallest value in 0.3, -1\/3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) 1\/3 (c) -1\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -38\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-2 + 3)*193. What is i rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 67 + 47 = 0. Let w be 4\/5 - h\/95. Which is the closest to w? (a) -0.05 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1064 + 1674. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 39. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.567394128 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - s**2 + s. Let v be m(1). Let y(d) = -d**2 + 2*d - 1. Let l be y(0). Put 3, v, l in descending order.\nAnswer: 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 33, 5, 16, 3 in ascending order.\nAnswer: -9, -1, 3, 5, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*h**4 + 29*h**4 - 922*h - 13*h**4 - 319*h**5 - 86*h**5 wrt h?\nAnswer: -8100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 2\/4)*(-430846)\/73?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16747 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + ((-185)\/(-15) - 6))*-27. Let h be (c\/(-14))\/((-375)\/(-20)). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -292, -824, -1856, -3556, -6092, -9632?\nAnswer: -14344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/14)\/(1\/(-122)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = k - 3*m, 0*k - 5*m - 279 = -2*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28110 is divided by 3123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from aaaauaaau.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12 and ((-13641992)\/37506)\/(-26) - 14.\nAnswer: 10716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1165.7214 + -1203.721485. Let u = -38 - l. Round u to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141578981*r**2 - 135783482*r.\nAnswer: 283157962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let f be y(4). Which is smaller: f or 44?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25430118 take away 0.3425?\nAnswer: -25430118.3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260504, 521003, 781500, 1041995, 1302488, 1562979?\nAnswer: 1823468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-10)*t)\/(((t*t\/(((t**(1\/2)\/t*t)\/t)\/t)*t*t)\/t)\/t)*(t\/(t\/(t*t**2*t*t)))**(-18\/7))**(1\/39))**(-40) assuming t is positive.\nAnswer: t**(6820\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 101*f + 38001. What are the prime factors of n(0)?\nAnswer: 3, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, -0.4, 2\/3, 0, 0.4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 21607.\nAnswer: 108035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**9\/84 + h**6\/60 + 13*h**5\/60 - h**4\/24 - 18*h**2. Find the third derivative of o(c) wrt c.\nAnswer: 720*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + (-5)\/(-2). Suppose m + 5*f - 24 = 0, -44 = -3*m + f - v*f. Let u be (0 + -2)\/(3 + m). What is the nearest to -0.1 in -2, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 70 = 2*w - 7, -3*v + 62 = 5*w. Let i = v - 4. What is the remainder when 48 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65769103?\nAnswer: 65769103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 5*h + 2, -4*x = -9*h + 4*h - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5147 - 3406. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 3*x + 3. Let q(b) = 3*b**2 + 7*b + 7. Suppose 13 = -h + 20. Give h*y(w) - 3*q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.342 + -9.175. Let k = w + -0.067. Round k to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, 4, 6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -30. Suppose -h = 2*b + c*h + 25, h = -3. Which is greater: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*t + 10, 179 - 183 = 4*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5)**17 assuming l is positive.\nAnswer: l**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 10*y**3\/7 + 43262*y**2\/7 - 164548*y\/7 - 34640\/7 = 0.\nAnswer: -4330, -1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 128 = 2*m + 2*m, 0 = 3*t - 3*m - 66. Let a be 110\/(-8) + 1\/(-4). Let x = a + t. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983659?\nAnswer: 3, 7, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 163 - 163 - 38530*h + 6106*h as u + j*h and give j.\nAnswer: -32424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*c - 18, -2*c + 12 = 4*w + w. Let g be 16\/(-12) - (-2)\/c. Let o(m) = -5*m**3 - m**2. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.3. Let s = 279.4 - 280. Which is the second smallest value? (a) p (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 29 = 11*v + 5*b, 4*v = -3*b - 31. Let l be (-16)\/(-7) - 7*v\/(-98). Solve 6 + l = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 23 (b) -5 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 367527560 divided by -91881890\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7821, 15602, 23387, 31176, 38969, 46766, 54567?\n\"Answer: 2*m**2 + 7775*m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.398\nAnswer: -1.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 132*t**2 + 998*t + 728. Give c(-124).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/454, 1, -2.6, 7\/2 in increasing order.\nAnswer: -2.6, -3\/454, 1, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187.87 - 188.07. Let c = 0.056 - 31.056. Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521504 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.7907 - 8.2907. Let h = 0.8 - -0.2. What is the nearest to h in -3, g, -0.152?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143265267 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 7. Let h be y(6). Let r = 5 + -3. Suppose -3*n + h = r*k - 8, -2*k = -4*n - 64. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-360)*30)\/((-15)\/9)*112\/(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -5?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - k**3 + 0*k**3 + (-3 + k + 3)*(3 - 3 + k**2) - 6*k**2 + 12568*k**3 - 6472*k**3 - 6263*k**3.\nAnswer: -165*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6986 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: What are the prime factors of 8221858037?\nAnswer: 31, 6043, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:55 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.637583848?\nAnswer: 1.637583848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) + -2 + sqrt(1584) + 4)**2 - ((sqrt(11) + sqrt(88)\/sqrt(2))**2 + (sqrt(396)*2)**2).\nAnswer: 96*sqrt(11) + 4657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b*b**1*b*b))**(-50)*(b**(1\/4)*b)**(-9\/4)*(b\/(b*b**(-2\/5)))**(2\/5) assuming b is positive.\nAnswer: b**(68939\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63 - x + 63)*(-3 - 1 - 19)*(-2*x - 1 + 1)*(x + 5 - 5) to h*x + m*x**3 + o + v*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8895 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 4:05 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*b + 22. Let r be (b\/(-6))\/((-6)\/(-20)). Suppose -l = r*j - 29, 2*l - 4*j = j + 43. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4530814, 4530697, 4530580, 4530463, 4530346?\n\"Answer: -117*j + 4530931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m**2 - 3*m + 3. Let z be l(2). Suppose -y - 5*i + 35 = 2*y, z = 5*y + 5*i. Factor 6*a**2 + 3*a**4 - 4*a**3 - y*a**4 - 10*a + 6*a**3 + 4.\nAnswer: -2*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let v(c) be the second derivative of -c**3\/2 - c**2\/2 - 3*c. Let q(b) = -4*n(b) - v(b). Let y be q(-4). Sort 2, y, -4 in ascending order.\nAnswer: -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 133 = -4*u - 247, 3*u + 190 = 2*o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61925, 64354, 66795, 69254, 71737, 74250?\n\"Answer: x**3 + 2422*x + 59502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 23*a + 5. Calculate the remainder when w(12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -251 - 3*f + 0*f**2 + 0*f**3 + 172 + 0*f**2 + 8*f**3 as x + m*f + i*f**3 + w*f**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*l + 11*u, -4*l - 2 = 41*u - 99*u + 56*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5 - ((-2647679)\/186 - ((-5)\/(-6))\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65017, -65124, -65231, -65338, -65445?\nAnswer: -65552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 7*l**2 + 5*l + 6. Let w(z) = -z**3 + z**2 - z - 1. Determine g(q) + 6*w(q).\nAnswer: -q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -31*c - 7. Let f be h(-2). Suppose 0 = 4*o - 12, 5*u + o = u + f. Solve -3*g + u = -4*x, -x = -2*g - 2*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x - 7. Let g be h(-6). Let z be g\/13*-2 + 0. Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3686 - -62592\/17. Let x = -11843 + 11840. Which is greater: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(2*2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13477 at most as big as -13464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24549226, -5, -2, -0.3 in increasing order.\nAnswer: -5, -2, -0.3, 0.24549226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 1 - (251 - 259)) + (-3 - 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 15 = 0. Suppose -s*x - 4 = 2*k, -2*x - 4*k - 5 = -3. Is ((-1257)\/6)\/(x\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 - 79 - (14 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s**3 - 38*s**2 + 0*s**6 - 1\/630*s**7 + 0*s**4 + 0 + 1\/180*s**5 + 0*s. Factor u(m).\nAnswer: -m**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqkolkwkykwokykk. What is prob of sequence kyyl?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 275 + -166. Suppose -j = -y + 39. Suppose 0 = -0*f + 2*f - y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 2423.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7*10\/25)\/((-8)\/(-10)))\/((-1505)\/12900).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 463046 - 0?\nAnswer: 463046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1638470 (base 9) to base 3.\nAnswer: 1201022112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 5. Let o(d) = 15*d + 24. Let k(r) = -24*g(r) + 5*o(r). Let z(h) = -3*h**2 - h**2 + 4*h**2 - h**2. What is z(k(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Let d(u) = 458*u**2 - 10*u - 5. Let q(s) = -1151 - 3206*s + 146789*s**2 - 562 + 110. Let f(z) = -1603*d(z) + 5*q(z). Calculate f(n(i)).\nAnswer: -916*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60902 and 5254.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h + 368 = h, -5*h - 736 = 4*r. Let t = -170 - r. Solve 1 = -15*c + t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/39)*m)\/m)\/(m*m**(-4\/9)) assuming m is positive.\nAnswer: m**(-59\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-606)\/(-1111))\/(9\/22). Suppose 8\/9*m**4 - 2\/9*m + 8\/9*m**2 - 2\/9*m**5 - w*m**3 + 0 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(1200\/20800).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151985665*x**4 - 3*x - 232068394?\nAnswer: 607942660*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.7345764 + 27.731. Round a to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 + 5\/(-7). Let p = -251 - -251.4. Which is the nearest to g? (a) -3 (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49384, 49855, 50326, 50797?\nAnswer: 51268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 110 - 19 = -2*h + 30*d, 0 = -3*h - 10*d + 161 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485079?\nAnswer: 3, 7, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4529 and -36.\nAnswer: 163044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckqqmqttkmtkttkttk. Give prob of picking 1 q and 1 k.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = k, 0 = -3*k + 5*k - x - 3. Suppose 0 = t + 5*f - 25, k = -2*t + 7*t - 3*f - 125. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*h + 498*h + 115624 = -542*h for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4981835426497 + -1777693244412046817\/356835. Let v = -1\/47578 + g. What is the common denominator of v and -65\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 15)\/(6 + -7). Let a(c) = 43*c - 21. Let q be a(f). Is (-1)\/2 - q\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*i + 143114 + 10608 = -273*i - 419*i for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1662.\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26499 - 0.007.\nAnswer: -26499.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -3\/20*m**5 + 0*m**3 + 101*m**2 + 0*m + 0*m**4 + 0. Let i(p) = -20*p. Determine i(s(g)).\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11 - (0 + -1533 - -11)?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434524174 less than -35?\nAnswer: 434524139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - 574\/4 - 1\/2. Let h = r - -321. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113667230 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = a - 0*a + 13, 4*f = -2*a + 34. Let i(k) = -22*k**3 + k**2 + 2*k + 1. Let q be i(-1). Let o = q - f. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + (2 - -36). Suppose 2*q = -v - v + 8, -16 = -4*v - 3*q. Suppose -2*l = -v*g - 28, -l - 4*g + m = -0*g. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406131 (base 7) to base 2.\nAnswer: 10000111011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8879468771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 + -167.86. Which is greater: r or 0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n*y**2 + 7185*n*y + 60*n - 2*y**2 + y + 1215879 wrt n?\nAnswer: -2*y**2 + 7185*y + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**5 - 3*d**3 - 2*d**2 + 2*d + 2. Let l(k) = 12*k**5 - 12*k**3 - 9*k**2 + 9*k + 9. Let s(n) = -2*l(n) + 9*x(n). Factor s(a).\nAnswer: 3*a**3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1668 - -81737\/49. Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 2.2. Suppose -2*i + 3*y - 18 = -16, 0 = -2*i - 5*y - 2. What is the nearest to i in r, -8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 12782 - 12782.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222 - -1051. Solve -822 = -p - l for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24021355 (base 6) in base 9?\nAnswer: 1362038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 38*f + 117. Let v be i(-35). Solve -4*s = v*s + 80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x - 69. Let g(m) = -21*m + 68. Give -3*g(i) - 4*h(i).\nAnswer: -9*i + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -2 + 1 + -4)**2.\nAnswer: -10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o + 1026 = 23*o. Solve -94 = -14*k - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45829 by -5.\nAnswer: 45829\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -203. Solve 2 = j, 0 = -4*i - j - g - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5*o**6\/6 - 5*o**2\/2 + 1. What is the second derivative of c(y) wrt y?\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2076333?\nAnswer: 1\/692111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 24. Let g = -2 - a. Let s = -2 + 1.6. What is the smallest value in -3, s, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - 10*a + 13. Let w(s) = -2*s**2 - 3*s + 4. Let n(h) = -3*o(h) + 8*w(h). Let b = 7 + -1. Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.076 in -5, -0.1, 0, 13\/2, -1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.06911 + 0.06178.\nAnswer: -1.00733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125417?\nAnswer: 167, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -688 - -691. Sort -2\/575, -0.3, v in increasing order.\nAnswer: -0.3, -2\/575, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3 = x, 8 = 5*q + 4*x + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/500 and -7\/550?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d - 12 = 0. Suppose -b - 2*b + 13 = l, -39 = -d*l + b. Let y = l + 1. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 905554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + -14.6. Let n = 0.22 - -0.78. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 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: What are the prime factors of 17846?\nAnswer: 2, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 583580838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*d - 67, -d + 36 = 3*y + 13. Let k(z) = -d + z - 1 + z - 3*z. Determine k(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376485 and 1425.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 17*p - 30. Let n be h(-15). Suppose n = g - b - 7, -g = -5*g - 4*b - 12. Solve 10 = -v - v + y, g*v - 4*y + 22 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**2 - 2*m**3 - 94*m**4 + 95*m**4 - 93*m - 60*m as j*m + a*m**4 + i + z*m**2 + x*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l**(1\/8))\/(l\/(l**(-1\/6)*l)*l**(-2)))\/((l*l**5)\/l**(-4\/5)*((l\/(l\/l**7))\/l)\/l**1) assuming l is positive.\nAnswer: l**(-731\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 111101010011?\nAnswer: -111101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**2 - 45*r - 24.\nAnswer: 3*(r - 8)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v + 3*v**2 + 1\/525*v**7 - 1\/150*v**5 - 1\/60*v**4 + 0*v**3 + 1\/300*v**6 + 0. Solve s(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 376*r - 604*r - 301*r - 1205*r - 1 - r + 1 - 4*r + 2*r + 4*r + (-2 + 4 + 0)*(4*r - 2*r - 4*r) - r + 3 - 3 + 3*r - r - 3*r.\nAnswer: -1739*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**7\/1680 - 23*r**6\/360 + r**5\/12 + 10*r**2. Let x(q) be the third derivative of g(q). What is the units digit of x(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 15*u = 2*c - u - 10, -2*u + 114 - 68 = 6*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -4 + (3 - 41 - -57).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*j = -3*y - 238, -y + 119 = -5*j. Calculate the least common multiple of 136 and y.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nir. Give prob of sequence ir.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((1 - -5 - 7 - 7) + 14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 - -226.1. Sort 1\/7, a, 6 in descending order.\nAnswer: 6, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 81*b**7\/140 - 1359*b**6\/320 + 29*b**5\/20 + 21*b**4\/16 - b**3 + 191*b**2 - 2*b. Suppose g(p) = 0. What is p?\nAnswer: -1\/4, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-12)\/(-72) + (-8022)\/50. Let z = b - -161. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (0 + sqrt(891))**2 - sqrt(11) - sqrt(99)\/sqrt(81)) + -2.\nAnswer: 23*sqrt(11)\/3 + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 2*k + k)*(391 - 736 + 429 + (-3 + 0 + 2)*(-3 + 6 + 0)) to the form m*k + i and give m.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273045*g**3 - 2*g**2 + 979*g - 14.\nAnswer: 1638270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3461538 is divided by 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + (0 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-525)*-10)\/(-2*(-1)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (27 + (8 - 21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 1413375*h + 24028820.\nAnswer: -5*(h - 17)*(h + 282692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*l - 33, 3*a = -l - 2*a + 35. Suppose -l + 3 = -4*b. Suppose 35 = 4*z + 5*y, z + 0*y = -b*y + 14. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379813704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**3\/6 - 9*g**2\/2 - 4*g. Let q be p(-11). Suppose -q*l - 10 = -3*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 9. Which is the closest to 0.1? (a) -3\/2 (b) i (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:03 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96949 + 96965. Let x(t) = -3 + t**2 + t + 4*t + 0*t. Let p be x(-6). Solve 7*r = p*r - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-6*(3 + sqrt(7) + 0) + -5).\nAnswer: -141 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) 30 (c) -3\/4 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*12\/(-48)*14\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - o**2 + o - 2. Let m be s(-2). Let j be (m\/(-10))\/((-1)\/(-15)). Is j less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/540 and 101\/90.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*r + 200*r = 66. Let h(b) = b**3 + 23*b**2 + 24*b + 45. Let l be h(r). Calculate the greatest common divisor of 17 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 290*i + 1365. Determine u(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -1, -3 in decreasing order.\nAnswer: 49, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1*2)\/2)\/(-1). Let h(u) = -3 - u**3 - 2*u + 3 - o - u**2. Let w(m) = -m**3 - 7*m**2 + 9*m + 6. Let q be w(-8). Calculate h(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 * 130.\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 147 - 50 - 46 + 232*a**2 - 51. Let o(h) = -15*h. Calculate o(d(r)).\nAnswer: -3480*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + 1)*22\/6 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*y - y - 62 = 0, -4*m + 2*y + 248 = 0. Let f(j) = -3*j - 15. Let n be f(-5). Suppose -2*h = -n*h - m. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z**3\/9 + 4*z**2\/3 - 8*z\/3 - 4. Factor a(y).\nAnswer: -2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475b6 (base 16) to base 11\nAnswer: -18a658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 1. Let i(j) = j**2 - 3*j - 8. Let c(m) = -m**2 - 45*m - 201. Let u be c(-5). Let t(q) = u*l(q) - i(q). Determine t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405549, -811088, -1216653, -1622250, -2027885, -2433564, -2839293?\nAnswer: -3245078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/19 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 28) + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1365\/125 + -6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 69080. Round b to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffzz. Give prob of picking 2 f and 2 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 - 2*y**2 + 8 + y**2 + y**3 - 2*y**2 + 10*y. Calculate the remainder when q(10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528, 1289, 2050?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*o + 183 = 0, 4*b + 82 = 2*o - 60. Let h = b + 44. What is the tens digit of 1114\/h - (18\/(-8))\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (116*10\/(-4))\/((-15)\/1500). What is x rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 equal to 14754\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(-177*r - 321*r - 13*r).\nAnswer: 1533*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + s + 5, 5*r = 3*s + 3 + 5. Let y be (5 - 6)*r\/(-1). What is the highest common factor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14*q - 19*q = 28, -16 = -4*s + 2*q. Which is the second smallest value? (a) s (b) -2 (c) -15\/2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443543 (base 7) to base 8.\nAnswer: 1144133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8498647 = 209*x + 2580117 - 10636987. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 8. Let x(b) = 6 + b + b**2 - 7 - b + b. Let h(z) = -p(z) + 6*x(z). Let h(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 f when three letters picked without replacement from biefxeeebexbfbfb.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/11, -1, 1\/3, -0.5.\nAnswer: -1, -0.5, -1\/11, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*u + u + 1, -u + 5*y + 44 = 0. Suppose -29 = -8*d + u. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-64)\/120))\/(9\/(-1))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2\/9, -1.1, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 83) + 6951 + -6801?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -51, -114, -229, -414, -687, -1066, -1569?\n\"Answer: -3*t**3 + t**2 - 11*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 + 6 + o**2 + (0*o - 2*o + 3*o)*(0*o + 6*o - 4*o) to the form g + s*o + n*o**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i + 67*i - 32*i + 310*i to x + y*i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*49.4\nAnswer: -14.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*f + 0*f + 302524*f**2 - 302813*f**2 as s*f**2 + l + h*f and give s.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62744 divided by -4?\nAnswer: -15686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*s - 8432 - 203 - 2328 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/699, -3, 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1*17\/(289\/(-51))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 1, v: 5, r: 1, n: 1, m: 1}. What is prob of sequence ivni?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74346900?\nAnswer: 2, 3, 5, 79, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 224 in 4, 7, 3, -4\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 1 - 2 + p**2 + 0)*(189 - 403 - 203)*(p - p + p**2) to the form a + q*p + l*p**3 + s*p**4 + k*p**2 and give k.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*h = 800 + 663, -3*z + 873 = 4*h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2043 = 2064 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*d + 26*d = -152*d + 8945 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -44. Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 9*x - 2. Let a be q(5). Let r = -1655 + 1664. What is the greatest common divisor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/15866 or 1?\nAnswer: -3\/15866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 381200564*u**4 - 3*u**2 + 94554*u + 949 wrt u?\nAnswer: 9148813536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqfn when four letters picked without replacement from qqqlffqfnfn?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((77\/(-1848))\/((-2)\/168))\/((-1)\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8*5.4.\nAnswer: -31.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u + u. Let z be u\/12 - 68\/120. Let s = 2.7 - 3. What is the nearest to 0 in 0.2, s, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40342 divided by 20171?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1033 - 614. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5941*d**3 - 16*d**2 - 34*d + 33. Let n be y(-11). What is n rounded to the nearest 100000?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -252, -1 in increasing order.\nAnswer: -252, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263.2*33.\nAnswer: -8685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/60 + 11*i**4\/12 - 19*i**3\/2 - 51*i**2 - 3*i. Find the first derivative of s(j) wrt j.\nAnswer: 6*j**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**3 - 2*p**2 - p - 4. Let c(j) = 19*j**3 + 3*j**2 + 2*j + 7. Give 4*c(m) + 7*l(m).\nAnswer: 13*m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196203.2 months in years?\nAnswer: 99683.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130 - -2?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 - 4*m + 2. Give i(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + -426)*7\/(-28) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 4 (c) -11\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/4 + -4*7\/112. Suppose -1182*l = -1176*l - 120. Solve m*a + l = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -45. Let f = 10 + m. Calculate the greatest common factor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.552056 kilometers to meters.\nAnswer: 5552.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/((sqrt(72)*-1)\/sqrt(6)))**2 + sqrt(153)\/(sqrt(9) + (sqrt(729) - (sqrt(729) - sqrt(729)*1))).\nAnswer: sqrt(17)\/10 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -89, -202, -361, -566, -817?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 152494, 305174, 457866, 610576, 763310, 916074?\n\"Answer: c**3 + 152673*c - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/9 + 202*c\/9 + 203\/9.\nAnswer: -(c - 203)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 4*f = -14*z + 2, -z - 5*f = 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p + 37*p + 14*p + 21*p - 122*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + 0.86. Let r = u + -1. Suppose -3*y - 13 = -5*a - 33, -3*y - a = 4. Sort y, r, -0.4.\nAnswer: -0.4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + -5 + (6*(sqrt(539)*1 - sqrt(539)) - (sqrt(539)*-2 + -5))))**2.\nAnswer: 448*sqrt(11) + 8688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {a: 4, z: 3, u: 1, h: 2, g: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*c + 370, n - 5*c + 216 = -n. Let x = n - -284. Differentiate x + b**2 - 9*b**2 - 161 + 0*b**2 with respect to b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40496 is divided by 5764?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5225 (c) 2 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -334 at least -334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - h**2 - 42*h**4 + 3*h**2 + 44*h**4 + 3*h - 1 + 4*h**2 - h**3 to g*h**3 + r*h**2 + j*h + t + i*h**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(333\/(-83) - -4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l**2 + 0)*(2 + 0 + 0)*(0 + 6 + 8).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 5*s - 51 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -317\nAnswer: 6\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-16) + (-309)\/(-24). Let o = j - -5. What is the remainder when o is divided by 4\/3*1035\/138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -61739, 13 in decreasing order.\nAnswer: 14, 13, -1, -61739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 342 = -893. What is the second derivative of -t*d**3 - 9*d + 6 + 9 - 9 + 119*d**3 wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40819064 at least -40819064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*y - 118282 = 0, 22*a + 4*y - 39444 = 21*a. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from ddadddxxadddd?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q = 154*q + 1751 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Let b = q - 5.2. Let f = -4 + 9. What is the biggest value in b, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 3. Let y(f) = -4*f**2 + 4*f + 52. Calculate -6*m(q) + y(q).\nAnswer: -4*q**2 - 8*q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 190*o**2 - 1216*o + 1408.\nAnswer: -2*(o - 1)*(o + 8)*(o + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 5. Let f(d) be the third derivative of d**4\/12 - 2*d**3\/3 + 9*d**2. Calculate -4*c(i) - 5*f(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251.4 + 235.4. Which is the nearest to n? (a) -2\/5 (b) 5 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16530 = -1488*t + 1923*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -23)\/(6\/4). Suppose -4 + z = 5*v. Solve 5*a + 1 = 2*f + 4*a, 2*f - v*a = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a + 19. Let c be o(1). Calculate the highest common divisor of c and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-10))\/((-300)\/(-800)))\/(4\/70).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-8)*(-330)\/(-275)*(-60)\/10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 371 = -392. Suppose -m = -k*l + 10, 2 - 22 = 2*m - 4*l. Suppose 14 = -4*n - 26. Is n greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:21 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -16*k - 21. What is p(4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1829 + -1828. Are -263 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*a - 1800 = -3348*a + 1707*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -6. Let a(i) = i - 1. Let v(s) = s**3 - 3*s**2 - 12*s + 8. Let r(x) = y*a(x) - v(x). Calculate r(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50856 is divided by 50700?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(500) + -2)*-3 + 3)**2 + (sqrt(500) + -2)*4 + sqrt(500) + -2 + -1).\nAnswer: -2450*sqrt(5) + 22850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1992\/96612 + (-471)\/(-679))\/(6\/14). Let 1\/3*p**3 - o*p - 1\/3*p**4 + p**2 + 2\/3 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mhmhs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/8 - 39\/52. Let t be g\/1 + -8 + 9. Suppose 21 = -2*o + t*o. What is the remainder when 81 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -5*r**7\/42 - 13*r**6\/30 + 3*r**5\/10 + 30*r. Solve a(y) = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5660 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/177 > -4\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*r**3 - 14 + 11*r**2 + 18 - 22*r**2 wrt r.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*z = 12, 6*v = 11*v - 6*z + 24 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + o + 7. Let g(s) = -1. Let w(z) = 4*g(z) - r(z). Let u be w(5). Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + a + 273*a**4 + a**3 - 275*a**4 - 4 - 2*a**2 as y + f*a + n*a**2 + x*a**4 + m*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-1454)\/(-28353)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8040, -8038, -8036, -8034, -8032, -8030?\n\"Answer: 2*w - 8042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = p, 2*c - 2*p = -p + 23. Calculate the least common multiple of c and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 25. List the prime factors of d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1410 and -1\/6.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - -2) - 3) + 3 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**2*t*t)))\/((t*t\/t**0)\/t))\/((t\/(t*t*t**0))\/(t**(-7)\/t)) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose 5*k = r*k + 1119. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(28\/(-6))*-2. Suppose k - 91 = -3*q, -k - 4*q = m*k - 364. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 18*a**2 + 7*a. Let j be 14\/1 - (-238)\/(-34). Let o(g) = g**3 + 12*g**2 - 5*g. Determine j*o(v) + 5*s(v).\nAnswer: 2*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -23 (c) 123 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 199086320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.3 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/25 (b) 13 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.27847.\nAnswer: -0.27847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123024 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:41 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(1936) + sqrt(1936) + sqrt(1936) + sqrt(1936)*2 + sqrt(1936) + sqrt(16)*2*-6 + sqrt(16))\/(sqrt(40)\/sqrt(5)*3 + (sqrt(72)*-1)\/sqrt(9))).\nAnswer: 18 + 165*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1*-8*1\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/3*f**3 - 1\/2*f**2 + 9*f - 5. Is b(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -13*h**6\/120 + 7*h**5\/60 + h**3\/6 - 42*h**2 + h. Let c(u) = -19*u**3 + 10*u**2 + 1. What is 5*c(p) - 7*y(p)?\nAnswer: -4*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/312 and -63\/15808.\nAnswer: 47424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 360530419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -0.1 (c) 3\/8 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000508669055 rounded to seven decimal places?\nAnswer: 0.0000509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -11.1. Let j = -0.3 + k. Which is the closest to 1\/4? (a) -4 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129056 and 6104?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 36, -0.2, 2.5, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 - 0.3. Let b = f + 6. Suppose -2*u - 4 = 4. What is the nearest to 0 in -2, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5808) - (1 + sqrt(5808) + 4))*-2*-1)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 23. Let r(q) = -3*q - 8. Let c(l) = -3*i(l) - 8*r(l). Let g = 40 - 43. Let m(v) = -v - 2. Calculate g*c(z) + 7*m(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142, -381, -780, -1339, -2058?\n\"Answer: -80*y**2 + y - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**2\/4 + 53742*t + 1074915\/4 = 0. What is t?\nAnswer: -5, 71661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 2*j = 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1840\/20)\/((-2)\/(-20400)). Round z to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 0.16, -1, 5, 2\/7.\nAnswer: -1, 0.16, 2\/7, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458725499 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2164436 divided by -3508\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6441984 by 864.\nAnswer: 7456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2006 or -1172?\nAnswer: -2006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 6*q**2 + 8*q - 12. Let f be z(5). Suppose -f*l + 34 = -0*x + 2*x, -2*l = -3*x - 1. What is the remainder when 23 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158804 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6450 - -77449\/12. Let w = x - 11\/4. Factor -2\/3*z**3 + 2\/3*z - 4\/3*z**2 + w.\nAnswer: -2*(z - 1)*(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y + y + y as l*y + z and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*6*6\/8*-3*340\/1530.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80420 or -80421?\nAnswer: -80421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1362)\/(-150) - (-2)\/(-250)*10. Is 586\/61 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1786291268565 and 0.22.\nAnswer: 1786291268565.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86580 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92833000 rounded to the nearest one hundred thousand?\nAnswer: 92800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6321011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136587*j*l**3 + 7*j*l**2 - 30565497*j*l + 2*l**3 wrt l?\nAnswer: -819522*j*l + 14*j + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + sqrt(13) + -1 - (sqrt(52)\/sqrt(4) + -3) - 5*((sqrt(52))**2 + -5)) + -5.\nAnswer: -238 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:21 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2989, 2812, 2325, 1372, -203, -2556, -5843, -10220?\nAnswer: -15843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*n**5*o + 3490*n**4*o + 4*n**2 + 53271*n*o - 2*o + 7 wrt n.\nAnswer: -7620*n**2*o + 83760*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*s - 12 = 0, -4*a - 15 = -2*s + 3. Let l be (2 - (-14090)\/(-20))*a\/(-5). Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*c - 5*a**2 - 4063*a*c - 665461*c wrt a.\nAnswer: 2*a*c - 10*a - 4063*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -15. Let p(x) = -5*x**2 - 17*x - 22. Let u(g) = g**2 + g. Let i(j) = -p(j) - 4*u(j). Let c be i(-11). Solve -y + c*y = r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - 4*a + 158, -4*x - 670 = 3*a. Let v be ((x - 2)\/2 - 1) + -5. Which is greater: -91 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v + 205. Let g be b(0). Suppose 2*s = -3*s - g. Let y = -33 - s. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 17 = 4*g, -2*f - 3*g = f - 6. Let k = f - -12. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:06 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 15*v + v + 6*v)*(-7*v + 2*v - v) as b*v + p*v**2 + u and give p.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-3) + (-1 - -1) + (-13013)\/4290 and 109*(-2)\/104*2.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 5*n - 3. Let w be f(-2). Solve 9 = -t - 3*k, 2*t - 3*k - w = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7074 and -73\/19496.\nAnswer: 68957352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:52 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (-7 - -11) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.874833 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:10 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/12*(-6)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309.999994848 + -310. Round z to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 4 + sqrt(80))**2.\nAnswer: -525 - 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 1 d when three letters picked without replacement from {k: 1, l: 1, m: 1, d: 3, o: 5, p: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 + 7*v + 10. Let g be l(-5). Let n be 8\/2 + -2 - g. Put 4, n, -5 in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -66799.23607 from -11.\nAnswer: 66788.23607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 1. Let l = m - -0.1. Which is the closest to 2? (a) l (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**3\/3 + 27*r**2\/2 - 121*r + 161. Let z be i(7). Sort z, -1, 4 in increasing order.\nAnswer: -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 9*p - 4. Let c be w(-9). Let v be 2*((-11)\/2 - (-6)\/2). What is the common denominator of -75\/14 and v\/c*27\/75?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-24 - -18))\/(-1). Suppose x - 4*p = 12, 1 = x - p - 5. Let k = 0 + -2. Sort k, x, c in decreasing order.\nAnswer: c, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 + l. Let x(z) = 293*z**3 + 6*z**2 + 6*z. Calculate -6*k(r) + x(r).\nAnswer: 299*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d3 (base 15) in base 12?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-2)\/(-6)*-27. Let i = 2 + 1. Suppose 0 = -u - i*g + 32, g = -2*u + 5*g + 54. Solve -u + 9 = -x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 29. Give o(-17).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.623402 + 0.55240306. Let f = -0.071 - h. What is f rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*a**3*d**3 - 2*a**3*d**2 - 354*a*d**2 wrt d.\nAnswer: 1344*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72, 78, 86, 96?\n\"Answer: g**2 + 3*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-2 - 2*a**4 + 2 + (3*a**3 - a**3 - 3*a**3)*(0*a + 0*a + 2*a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + t = -12, -t - 22 = -4*a. Solve -a*y - 27 = -2*b, -5*b + 5*y = -0*b - 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2 + 1 - 4*i - i**2 - i**3 - 3*i**2. Let u(k) = k**3 - k**2 - 16*k - 3. Let a be u(-5). Let z = 70 + a. Calculate m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31324563 minus 216?\nAnswer: -31324779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:30 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13939724.\nAnswer: 2, 3484931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -934*w - 226. What are the prime factors of h(-3)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 84 + 85 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 19*w + 2166. Determine r(38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + 117 + 117 - 248 - 2*f + 4*f - 4*f + (2*f - 5*f + f)*(0 - 1 - 1).\nAnswer: 6*f - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 5*v**3 + 7*v**3 + 0*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 32153?\nAnswer: -32151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2212*j + 22110 = 5*i, -3*i + 2 + 29 = -3*j + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -1, 4692571 in descending order.\nAnswer: 4692571, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoak when four letters picked without replacement from aoaooonokkao.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 113\/2?\nAnswer: 113\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w + 7. Let o be c(5). Let u = -2805 - -2889. What is the highest common factor of u and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 250220151?\nAnswer: 250220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1676369*-0.114.\nAnswer: 191106.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 442.\nAnswer: -10, 1, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*d = -134*d + h - 3, 4*d - 18 = 2*h. Solve 0 = d*l + 16, 2*a + 3*a + 6 = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/16*-4*2\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -56. Suppose 0 = -b + 3*b - c. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:38 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436\/5 + -87. Which is the second biggest value? (a) p (b) 0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -34. Let p(t) be the first derivative of -35*t**q + 2*t + 59*t**2 - 7 - 35*t**2. Differentiate p(l) with respect to l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-4*j + 4*j - 2*j) + 2*j + 3*j - 3*j + 0 + 0 + j + 0*j - 3*j + j + (1 - 6 + 4)*(j - 3*j + 3*j) + j - 4 + 4.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20730234 + 14\nAnswer: 20730248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 13 + 41. Sort 0, k, 1 in decreasing order.\nAnswer: k, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19958231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13381353 by 1.\nAnswer: -13381353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 4*i**2 + 7*i - 13. What is c(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -1.1. Suppose 3*k - 13 = -b + 3*b, -2*b + 5*k - 15 = 0. Let i be (-33)\/(-45) - (-2)\/b. Put z, -0.4, i in decreasing order.\nAnswer: i, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 75. Solve k - c = 5*b - k, 2*b - 5*k - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 11 - (5 + 42 + -2). Let t be i\/1664*((-12)\/(-9) + -3). Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Suppose 0 = 4*l + 5 + s. Is -20*(l - (-3)\/2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2958 and 2.429.\nAnswer: 3.1474982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*f = 4492 - 4521, -4*q - f = -18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h)*(3*h - 2*h - 2*h) + (0*h + 0*h + 2*h)*(4 - 3 - 3)*(2*h + h - 8*h).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13102210 (base 4) to base 2.\nAnswer: -111010010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*b*m**3 + 2*a*b*m + a*b + a*m**2 + 2*a*m - a + b*m**3 - 3*m**2 wrt m.\nAnswer: -6*a*b*m + 2*a + 6*b*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 123, 292, 543, 882, 1315?\n\"Answer: k**3 + 32*k**2 - 10*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 854, 3816, 8754, 15668, 24558, 35424?\n\"Answer: 988*y**2 - 2*y - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-84) + 25\/4200*536.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + 10. Suppose 25 = 5*h - 5*n, -3*h = 4*n + 3 + 3. Let y be (l + h\/1)\/(-1). Which is greater: 1\/3 or y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) 15 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76058?\nAnswer: 2, 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25204 - -26?\nAnswer: -25167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 563890357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*s - s - 7, -4*s - 5*v = -17. Let t = -2 - -2. Suppose -i - 2*i + 10 = -4*l, -2 = 2*l. Solve -2*u + s*u - i*f - 1 = t, -5*u + 5 = f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 10*l**4 + 80*l**3 - 70*l**2 - 315*l - 180 = 0. Calculate l.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1954*k - 384 = -1964*k + 3894*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -134, -186, -222, -236, -222?\n\"Answer: p**3 - p**2 - 66*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463\/264 + 9\/440. Find the common denominator of -65\/18 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p - 183 - 90. Let t = 44 - 23. Let j = t + p. Solve 3*i - 2*i + 2 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13452 (base 6) to base 9.\nAnswer: -2815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110332 - 14?\nAnswer: 110315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31621*k + 31560*k = -1037 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/30 + 162\/540?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288) + (-1*sqrt(288) - sqrt(288)) - sqrt(288)))\/(5*-6*sqrt(36)).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3459516 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**4 + 201*i - 200*i - 9 - i**2 - 16 - 3*i**4 + 29 as h*i + y + k*i**4 + o*i**2 + p*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 3, f: 1, b: 3, v: 5}. What is prob of sequence fcn?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18792 * -13.3\nAnswer: -249933.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4627, 7459, 10285, 13105, 15919, 18727?\nAnswer: 21529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1549 - 1547. Which is the nearest to 0? (a) -1 (b) -3 (c) -5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**2 + 59*r + 17. Calculate the remainder when 6757 is divided by z(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 - a**2 + 2*a\/7 + 3\/7.\nAnswer: (a - 3)*(a - 1)*(2*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5786 + -7004. Does g = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 39 = -4*f, 2*f + 2*x + 61 - 19 = 0. Let s be (14848\/(-1404))\/f - 4\/6. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) -4 (c) 5 (d) 2\/13 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28669933 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {w: 1, m: 9, z: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11303 and 941070?\nAnswer: 83755230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + -1. Calculate the remainder when 8 is divided by y\/8 + (-90)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 0.9. Is m at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 49*a**2 + a. Suppose s = 5*j, 0*j + 5*s - 23 = 2*j. Suppose -5*u - 38 = -o, o + 3*o - 37 = -3*u. What is the remainder when z(j) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 3) to base 6.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.20857 and 24305.\nAnswer: 24305.20857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9682 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11881\/15 + -792. Let y(a) be the third derivative of 0*a - l*a**5 + 0*a**3 + 1\/30*a**6 - 1\/6*a**4 + 0 + 2\/105*a**7 - 16*a**2. Find j such that y(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + i**3 + i + 3 + 4*i - 6*i - 4*i. Let z be a(5). Let j = -1\/1755 - -5269\/7020. What is the biggest value in z, j, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 656 (b) -0.4 (c) 1 (d) 48 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3209719*w. Let j(a) = -4*a**2. Determine j(t(n)).\nAnswer: -41209184235844*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-60)\/31 + 2). Let u = i + 60. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3 + 150289*f**2 + 1352534*f + 2103920 = 0.\nAnswer: -150280, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -54*h + 57. Calculate l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 5*z**2 + 5*z**2 - 9*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-8))\/((-1)\/24). What is the greatest common divisor of s and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 5\/2*d + 1\/2*d**2.\nAnswer: (d + 1)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*-4*(3*sqrt(112) + 3 + 4) + -3)*-2)**2.\nAnswer: 9984*sqrt(7) + 67216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 130*u + 5502. What is l(-42)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 73 = -67. Which is the smallest value? (a) -1\/6 (b) k (c) -2\/9 (d) 6 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4138348 is divided by 430?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.3, -89, 4\/3, 2, 158.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 3. Let m be s(0). Let h be (-2)\/(-2) - 0\/1. Let l be 31\/3 - h\/3. Solve -m*q + 8*q + l = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1006, 4371, 10108, 18217?\n\"Answer: 1186*f**2 - 193*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 - 273. What are the prime factors of (-8)\/o - -2 - 16226\/(-35)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 2*sqrt(110)*-1 - (sqrt(110) + (sqrt(110) - sqrt(110)*3))*5)\/(3*sqrt(1440)*-4*-5).\nAnswer: sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -107.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24116.607 microseconds in minutes?\nAnswer: 0.00040194345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u = 49*u - 3*s - 20, 0 = -4*u - 3*s - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -465175.9 to the nearest one thousand.\nAnswer: -465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 33, 85, 161, 261?\n\"Answer: 12*y**2 - 8*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 2653*d**2 - 1 - 2654*d**2 - 2*d**3 + d**3. Let n(o) = -3*o**3 - 2*o**2 - o - 2. Give -n(w) + 2*u(w).\nAnswer: w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*d**2 - 199*a**3 - 2*a**2*d + 21*a*d**3 with respect to d.\nAnswer: -2*a**3*d - 2*a**2 + 63*a*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/8 - 1011*q\/4 + 34663\/8 = 0.\nAnswer: -2039, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/735 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g + 94. Let k(t) = t**2 - 2*t + 92. Calculate 5*k(p) - 6*w(p).\nAnswer: -p**2 - 4*p - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205452 by -102726.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1289705730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 89.94. Let b = o + 0.36. What is b rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313554?\nAnswer: 2, 3, 52259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3\/7, -1.5 in decreasing order.\nAnswer: 3\/7, -1.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 14*y**2 - 69*y - 9. Let n be i(5). Let t(s) = -5*s**3 + 2*s**2 + 7*s + 29. List the prime factors of t(n).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73227641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6950 + -3120544\/449. Let w = -4292\/14817 - a. What is the common denominator of w and 121\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4 + 4*r - 1)*(249 - 158 - 149 + (1 - 4 + 5)*(2 - 2 + 1) - 3 - 3 + 4).\nAnswer: -58*r - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -69992585.\nAnswer: 1\/13998517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*v - 4826 = 0, g + 3*g - 4*v - 4808 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 8. Is 7 a factor of s\/(4 + -2)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 100011001111111000000111?\nAnswer: -100011001111110111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 1 = 5*r. Let j be ((-5)\/r)\/((-1)\/4). Solve -2*v = 3*v + 3*x - 3, -4*x - j = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*u - 61, w + 5 = -5*u + 46. Let z = w - 19. Calculate the remainder when 25 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01381 to 4 dps.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5166230 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15804*t**2 + 1134*t + 1?\nAnswer: 31608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 39477*c**3 - 4 + 5 - 75*c + 39480*c**3 to the form l*c**2 + t*c**3 + f*c + v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*j + 29*j - 13*j**5 + (-j**4 + 3*j**4 + 0*j**4)*(-3*j + 0*j + 4*j) + j**5 - 6*j**2 - 48*j**3 - 20*j**2 + 48*j**3.\nAnswer: -10*j**5 - 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4181 + -4141. What is the greatest common factor of 160 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -35, -18, 9, 46, 93?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5257*p**2 - 83053 + 83053.\nAnswer: 5257*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3566 + 310277\/87. Let v = 2\/29 - l. What is the common denominator of v and (0 - (-1)\/(-6))*124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168337620 and 64251.\nAnswer: 168337620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1035)\/300 - 225\/(-100)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1432 and -0.07.\nAnswer: 0.010024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113916, 227838, 341794, 455790, 569832, 683926, 798078?\n\"Answer: g**3 + 11*g**2 + 113882*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/2, 2.2, 0, 3\/8?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40565?\nAnswer: 5, 7, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/128 and -111\/103576.\nAnswer: 1657216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -10. Let n be 4\/(-10) + 4\/t. Suppose n*g + 5*g = 10. Put 1, g, -1 in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**4 + 25*y**2 + 224?\nAnswer: -4*y**3 + 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117474093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 96674.913 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351289221*p**3 + 612660725*p wrt p.\nAnswer: -2107735326*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 1.94. Let u = 3 - 8. Let l = -5.5 - u. Which is the third biggest value? (a) l (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**8\/840 + 2*x**7\/525 - x**5\/75 - x**4\/60 - 9*x**2\/2 - 9*x. Let g(m) be the first derivative of p(m). Factor g(v).\nAnswer: 2*v*(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22d + b?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/14))**(-48))**39 assuming i is positive.\nAnswer: i**(-2808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*z - 346*z + 36 - 33.\nAnswer: 17*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 - 15*f**2 + 411*f\/2 + 220 = 0 for f.\nAnswer: -40, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 127741 + 63871 + 63870.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and 155\/258?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2*sqrt(1377))**2 + sqrt(1377))*2.\nAnswer: -54*sqrt(17) + 11018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59310793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 26567*z**2 - 28*z + 32. Let b(d) = 4*d. Give y(b(w)).\nAnswer: 425072*w**2 - 112*w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 m when four letters picked without replacement from {d: 2, m: 4, q: 6, g: 4, u: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 13023 + -12914. Let v(m) = m**3 + 6*m**2 + 4*m - 5. Let p be v(-5). Suppose 0 = -x - p*x + 28. Calculate the remainder when k is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2\/3 - 868*c\/3 + 2288.\nAnswer: 2*(c - 78)*(5*c - 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + h = -5, 11*c - h - 5 = 13*c. Let z be (c + -2)\/(77\/6 + -13). What is the greatest common divisor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 j when four letters picked without replacement from qfjffffqqjqj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/23 + 40\/69. Let t(l) = 3*l**3 + 37*l**2 - 5*l - 199. Let c be t(-12). What is the third biggest value in 0.5, c, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*r - r + r - 94 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 16. Let y be n(7). Let c be 5 + y + 1 + -3. Calculate the highest common divisor of c and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, 1\/2, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4451*0.036\nAnswer: 160.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 7 + 196. Let u = o - -39. Suppose 0 = -15*s + u*s + 30. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 432? (a) 0.2 (b) 192 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25989587 is divided by 340?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - m**5 - 2*m**3 + (0*m - 2*m**2 + 0*m)*(98*m**3 + 8 - 26*m**3 - 9).\nAnswer: -145*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 8. Let y(v) = -4*v + 31. Give -9*n(a) + 2*y(a).\nAnswer: a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -17*c - 1172. Let z = c + 65. Let q = 2 + -7. Put z, -3, q in ascending order.\nAnswer: q, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2057377 rounded to 4 dps?\nAnswer: -0.2057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -2*p. Suppose -5*v + 5*j = -20, -p*v - 4*j + 26 = -3*j. Suppose 4 = -s + 54. What is the greatest common factor of v and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -340\/29 + 3118\/261. What is the smallest value in 0.3, q, 316?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 5\/2 (c) -1\/10 (d) 62 (e) 798\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**2 + 0*t**5 + 4*t**2 + t**2 + 8*t**5 wrt t?\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 2, 3, 109\/14, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 113\/5 + 81\/(-135). Suppose -r + 0 = 11. Let c = r + 22. What is the highest common divisor of x and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11673947 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:04 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {p: 3, o: 1, w: 2, g: 7, y: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/3 - 560*o**3\/3 - 2722*o**2\/3 + 7700*o\/3 = 0.\nAnswer: -275, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10669986 and -7\/10.\nAnswer: 53349930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -5, 15, -6806.\nAnswer: -6806, -124, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(2\/3)\/i)\/i)\/i)**(-18)*((i\/i**(1\/7))\/i)\/i*i**(-7)*(i**(2\/3))**33*(i**(-1\/3))**(-2\/27) assuming i is positive.\nAnswer: i**(21479\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-2 + 0 + 0)*(0*x + x + 0*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**2 + 24*o**2 + 12*o**2 + 120*o**5 - 3*o**3 + 14*o**5 + 214*o**2 wrt o?\nAnswer: 8040*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*n**2*v**2 + 22466*d*n*v - 6*n**2*v**2 + 360241*n**2 + 2195*n*v + 2*v**2 wrt n.\nAnswer: -4*d*v**2 - 12*v**2 + 720482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -286979692*s. Let a(o) = -2*o**2. Give a(n(b)).\nAnswer: -164714687240829728*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(4) + sqrt(56)\/(sqrt(40)\/sqrt(5)) + 1 + (0 + sqrt(7)*-1 + sqrt(7) - (sqrt(7) + 1 + sqrt(343))))**2*-6.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.5. What is the third biggest value in -1\/6, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 != -54965\/392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(19\/1064*-7*8)*1\/(-2)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 + 365*k**3 + 750*k**2 = 0.\nAnswer: -2, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33753 by 1.\nAnswer: 33753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t**3 + t**2 - t + 10. Give g(2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700412.1s in hours?\nAnswer: 1027.89225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 195111484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, k: 3, v: 4, j: 4, h: 1}. What is prob of sequence vvhj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (334551\/801)\/((-7)\/(-9)). Solve -q - k + 538 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 24 (c) -3 (d) 1\/12 (e) -40.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6772332 and 77\/13074.\nAnswer: 6772332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2. Let l(y) be the third derivative of 11*y**4\/12 - 170*y**2. What is l(p(u))?\nAnswer: 110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-six fifths of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48729545*v**3 + 73721215*v**2 wrt v?\nAnswer: -292377270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - -89. Let q = -16 + c. List the prime factors of q.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -0.15 (b) 1 (c) -1.5 (d) -2\/9 (e) 3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 537\/491 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 0 + 0 + (5*c + c**2 - 5*c)*(-3 - 2*c + 3) + (-4 - 4*c**2 + 4)*(-3*c + 5*c + 0*c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -480?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/6 (b) -54.7 (c) -2 (d) 82 (e) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0322 + 0.0678. What is the closest to 0 in r, 2\/15, 1\/6, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -7*i**6\/30 - 2*i**3\/3 + 74*i**2 + 7*i. Let c(d) = 27*d**3 + 3. Calculate 4*c(y) + 3*r(y).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 46.8631804.\nAnswer: 41.8631804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*u - 2046 = 30*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318719.\nAnswer: 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k*o*r**2 + 5196*k*r**3 - 7*k + 7*o**2*r**3 - 14*o**2*r**2 - 3*r wrt r?\nAnswer: 31176*k + 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14 + 1 + 4*g**3 + 0*g**3 - 13*g**2 - 19*g**3 + 15*g. Let f(c) = 7*c**3 + 6*c**2 - 7*c + 6. Let k(o) = 13*f(o) + 6*i(o). Factor k(s).\nAnswer: s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315024 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvt when three letters picked without replacement from dttv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - -238427?\nAnswer: 238522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -13. Let g = 8.8 - -0.2. Let m = g + d. Sort -3\/4, m, 4 in descending order.\nAnswer: 4, m, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from inznnni?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/36 and -83\/5424?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -418, -747, -1182, -1753?\nAnswer: -2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*b + 2\/9*b**2 + 0.\nAnswer: 2*b*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:52 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 - 4*r + 3. Let a be y(-4). Let c = -17 + a. Factor 2*p**3 - 3 + 0*p**3 - p**3 + 3*p**2 - 3*p + c*p**3.\nAnswer: 3*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 16. Suppose -124 - 54 = -3*c + r, r - 2 = 0. Suppose -c = -4*l - 0. Solve 5*x = -m - l + 4, -t = 4*m + 2*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-5))\/((-2)\/(-1)). Which is the smallest value? (a) -0.1 (b) m (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + o**3 + 4*o**2 - 5*o - 2. Let g = 20 + -18. Suppose g*t + t = 15. What is z(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*-4*(-2)\/12. Let q(z) = z**3 + 9*z**2 + 7*z + 10. Let t be q(x). Let a be ((-4)\/(-6))\/((-2)\/(-6)). Solve -4*v = v - 4*b - t, 3*b = -2*v - a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -1\/463 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = o - 22, -3*o = 3*f - 4*o + 16. Suppose 13*m + m = -70. Put m, 2, f in descending order.\nAnswer: 2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.986503ml to litres.\nAnswer: 0.002986503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -46 - 7\/2*r**2 - 165\/2*r = 0.\nAnswer: -23, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2 - -2)*(-4)\/(-8))\/1. Let l(y) be the third derivative of -1\/150*y**5 + 1\/60*y**4 + u + 0*y**3 + 0*y - 5*y**2. Suppose l(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-8)*(-20)\/(-25). Let u = b - 2. Let i be 6\/(-5)*2\/(-18). What is the second biggest value in 1\/6, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*t = 643848, -4*h - 4*t - 429234 = -6*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 18*m**2 - 7*m**2 + 1 + 1 + 10*m. List the prime factors of b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -6706?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72522 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -29 + -3 + 6 + -60 + 39\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (75 + -22)) + (1 - 13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 209, 314, 419, 524?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5938, -12414, -19424, -26974, -35070, -43718?\n\"Answer: -o**3 - 261*o**2 - 5686*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-7) - (-8)\/(-28). Let y be (-2)\/8 - n\/(-1). Which is the second biggest value? (a) 1\/7 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 18. Suppose -6*n - 5*z + u = -4*n, -3*n + 5*z + 26 = 0. Find the third derivative of n*w**3 - 9*w**4 - 9*w**2 - 7*w**3 wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1147962485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:41 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a century in months?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + v = -12*v - 154 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 3:02 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/p*p**6*(p\/(p*p\/p**(-1)*p))**(-27)*((p*p**(5\/4))\/p**(1\/3))\/(p\/(((p\/p**(-1\/4))\/p)\/p*p))**(1\/23) assuming p is positive.\nAnswer: p**(5995\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -455, -667, -861, -1031, -1171, -1275, -1337?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxgnwxxnggxbxx. Give prob of picking 1 n and 1 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2464 = -372*b + 148*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02715675 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 18)*(0*w + 4*w**4 + 0*w).\nAnswer: 92*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0108 and 605.\nAnswer: 6.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3480.2*-1172\nAnswer: 4078794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.080212 - 4.319976. Let q = -9.4 - b. Round q to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9468\/225 - 42 - 5\/(500\/(-3592))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - x - 3. Let a be t(-5). Let f(j) = -8*j + 1 + j**a + 5*j - 3. Determine f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410 - 1410 + 243*d.\nAnswer: 243*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -11, -1, -45, 377?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36426 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**3 + 181544*q**2 - 49204556*q - 32883720 = 0.\nAnswer: -15395, -2\/3, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*17\/(119\/14)*2\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/5)*s*s)\/s)\/s)\/(s*s**1\/s)*((s\/(s*s**(-5)\/s))\/s)\/s*s*s**(-4\/3)\/s*s assuming s is positive.\nAnswer: s**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 8*o**2 - 485 + 2*o + 6*o**2 - 8*o.\nAnswer: -2*o**2 - 6*o - 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/600 at most 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + 2*sqrt(162)*-1*4)*-4*-2)**2.\nAnswer: -3981312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173732 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -48*k**2 + 1352*k - 227. Determine s(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15961, -15958, -15943, -15910, -15853, -15766, -15643?\n\"Answer: i**3 - 4*i - 15958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 1068718.\nAnswer: 9618462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from {x: 6, o: 2, d: 3, f: 2, c: 4, w: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - -1?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**4*i**2 + 210*b**3*i**3 - b**2*i + 28900*i**3 wrt b.\nAnswer: 360*b*i**2 + 1260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:21 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -3 - 1)*(3 - 691). Suppose -681*x = -l*x + 1155. List the prime factors of x.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a9e - -875a?\nAnswer: 7bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((((s\/s**(3\/5))\/s)\/s)\/s)*s*s**(-3))**(-1\/4))**(-21\/5) assuming s is positive.\nAnswer: s**(42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5\/3, -3, -255?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 + 13*y - 3. Give p(-6).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:29 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009565933 to 6 decimal places.\nAnswer: -0.000957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*l + 0*l = -6, l - 3 = 2*t. Solve -3*q + 4*b = 13, t = 2*q - 6*q - b + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -26. Let o be -2 + -4*(1 - 0). What is the remainder when n\/o + (-500)\/(-12) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058) + sqrt(2058) + (3*sqrt(2058) - sqrt(2058)))\/((sqrt(66)*-1)\/sqrt(11)).\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {d: 1, z: 7, l: 2, h: 8}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84836370 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a minute in seconds?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*n - 378008 = -102*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 133*a - 1. Let j be f(1). Let r be (-4)\/(-2*(-3)\/(-9)). Suppose -4*m + r = -42. What is the highest common divisor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n + 10. Let j(p) = 7*p - 14. Give -3*j(x) - 4*m(x).\nAnswer: 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*i - 4 - 12 = 0, -14 = -5*u - 2*i. Let r be -1 + 0 + 320002\/u. What is r rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6222200 (base 9) to base 13.\nAnswer: 8c3a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t + 5*d + 671, -2*t - 2*d + 458 = 0. Let q = 383 - t. What is the greatest common divisor of q and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 - 53*h**2 - 4*h - 20. What is the remainder when v(-9) is divided by (-231)\/(-9) - 2\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v. Let p(i) = -22*i**2. Determine s(p(f)).\nAnswer: -176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (49 - 44) + (-1 - 2) - 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*c**2 + 500*c**3 - 31 + 174*c**2 - 56*c**2 - 61*c**2 wrt c?\nAnswer: 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202011221012 (base 3) to base 16.\nAnswer: 1647aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405850 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6 + 4*n - 5 + 6 - 2. Let t(h) = 3*h + 4. What is -5*t(c) + 4*u(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1324446 (base 7) to base 13\nAnswer: -61551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 + -1 - -1) + (-9 + 128 - 122).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 100. Suppose -2*z + f = -0*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 2:21 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*i. Suppose -h = -4*h - i*z + 1029, -z - 1715 = -5*h. Suppose -9*j + h = -2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 43*r**2 + 91*r - 43. Let q be o(45). Suppose 4*d + 642 + 156 = 3*h, -4*h + 1064 = q*d. Does 79 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445377274?\nAnswer: 2, 11, 65698967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbrbyyrszzszbyzr. Give prob of sequence scs.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1064409622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**7\/2520 - s**6\/90 - s**5\/24 - s**4\/2 - 9*s. Let x(y) be the third derivative of g(y). Give x(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17050, -34099, -51148, -68197?\nAnswer: -85246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 z, and 1 v when four letters picked without replacement from zyuvuyywvuwvyu?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8 + 10 + 18 - 36 + 9*k. Let g(r) = -2*r**2. What is y(g(z))?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 18 = -3*j, 5*j + 48*k + 20 = 43*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 409082285522.799999 - 409082718460. Let g = -432939.2 - y. Let r = g + 2. Round r to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4602 * -0.3.\nAnswer: 0.13806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 5*x**2 + 4*x**2)*(-1 + 2*x + 1) - 2 + 2 - 2*x**3 + 2*x**3 - 4*x**3 + x**3 + (-4 - 4*x + 4)*(-13*x**2 - 8*x**2 + 7*x**2).\nAnswer: 49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 17415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(36)\/sqrt(3)) + 1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, -3*x + 33 - 323 = 5*u. Let a = -12 - u. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 3. Let t = 1797 + -1795. Let x = 8 + -6. Solve x*s + r = -t*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-30)\/(-4)))\/((3\/104)\/((-32490)\/(-17328)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1092000)\/(-321))\/100 + 34\/(-1)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62874937 divided by 135799.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 41*w + 323 - 61 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -2 - 1*-1. Let s = 464 + -436. Suppose -5*k - s = -3*z - 5, 2*z - 22 = 5*k. Sort k, x, -1 in descending order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/35, 0.4, 1\/3 in decreasing order.\nAnswer: 0.4, 12\/35, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 3:19 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10241614 (base 7) to base 13\nAnswer: 244a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*(w\/w**(-1\/11))\/w*(w*w\/(w*w*w*w*(w*w*w**(-1\/2)*w)\/w)*w)**17)**(1\/5) assuming w is positive.\nAnswer: w**(-933\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:59 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109426637 and 76092.\nAnswer: 6341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*303\/44 - 7. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 - -3.1. Which is the biggest value? (a) u (b) 1\/2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 28*g - 23*g. What is the third derivative of -50*w**3 - 6*w**3 - 33*w**g + 7*w**3 wrt w?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 27234701?\nAnswer: 2\/27234701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/1 + 46452\/(-1092).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 284\/(-6)*36\/(-3). Let k be 12\/(-8)*h\/6. Let w = 255 + k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 417*c**2 - 14*c - 451. Is u(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/(-2))\/(3\/(-6)). Suppose -3*r - 5*v - 9 = -2*v, 5*v + y = -3*r. Let o = 1.1 + -0.6. Which is the nearest to r? (a) 1 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i - 1. Suppose -2*u - 21 = -5*u. Let v(g) = -4*g - 1. Let r(k) = 2*k**2 + 21*k - 16. Let h be r(-11). Give h*t(b) + u*v(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*u + 3*u, -5*u - 2*v = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1867, -3698, -5529, -7360, -9191, -11022?\n\"Answer: -1831*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 4*p + 11. Let a be f(-4). Let c(z) = z**2 - 10*z + 3. Calculate the lowest common multiple of 2 and c(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 503265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 90*v + 2522. Let o be d(-28). Solve -z + o*b = -15, -8*b + 12*b + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4152, -8262, -12292, -16200, -19944, -23482, -26772, -29772?\n\"Answer: 7*o**3 - 2*o**2 - 4153*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 6102180?\nAnswer: 6102188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 278*a**2 - 19*a**3 + 5 + 179*a**2 + 3*a.\nAnswer: -19*a**3 - 99*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 4. Suppose 274 = x*w + 70. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/3096*-36)\/(9\/2)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2132*q - 2105*q = -135 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -13 + 1 + 78 + -81.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*v = -276, -r = 5*v - 83 + 2. Suppose 0 = -10*b + 7*b + r. Calculate the least common multiple of 210\/(-24)*22\/(-165)*12 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:12 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57227.57 decades to years.\nAnswer: 572275.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -152 - (-20721 - -20883)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 375\/13 - (74\/26 - 3). What is the second derivative of -26*s - b*s + 87*s + 12*s**2 + s**2 wrt s?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:58 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.23 - 0.96. Let i = c + 1.19. Is 0.04 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 774, 775, 776, 777, 778, 779?\n\"Answer: f + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-11 + (-2 - (-12 - -4)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*d = -423*d + 30 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 250*n + 13. Let p be j(-3). Does 3 divide p\/(-44) + (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:44 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.304 and 0.3.\nAnswer: -0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 280 = 46*t, 1061*a - 1064*a = -t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**3\/3 + 3*o**2 - 5*o + 1. Let l be w(-7). Suppose 0 = l*g - 0*g - 20. List 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 k in -55*k**5 + 355*k**4 - 205*k**3 - 1295*k**2 - 280*k + 400 = 0?\nAnswer: -1, 5\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 743 - 2230\/3. What is the nearest to 2\/3 in -6\/5, g, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g + 5*q - 41, -4*g - 9 = -5*q. Let k be -3*g\/20*-5. Solve 0 = -c - k*c - 3*o + 11, 3*c - o = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -175*v**2 + 66?\nAnswer: -350*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + z**2 + 2*z**2 + 9 - 9*z. Let n be o(8). What is the greatest common factor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13772 is divided by 424.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 1346 = -9*g - 1431 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y + 0*y)*(0 + 41 - 16)*(3*y - y - 3*y)*(-31*y - 4*y**2 + 31*y).\nAnswer: 300*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1295059.38323 and -2.\nAnswer: 1295057.38323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223032 (base 4) to base 10.\nAnswer: -2766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaa. What is prob of sequence daa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgggjjgg. Give prob of picking 1 g and 1 j.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172, 176, 182, 190, 200, 212?\n\"Answer: g**2 + g + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.4 in -1, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -71*m**5\/60 + 34*m**4\/3 - 123*m**2. Find the second derivative of f(x) wrt x.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-436)\/12 + 0 + 3\/9. What are the prime factors of ((-114)\/(-4))\/((-27)\/k)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103221210 - 1123?\nAnswer: -1103222333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1.95\nAnswer: 0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plwlwbnldwbwndn. What is prob of picking 1 d and 2 w?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762241.\nAnswer: 3, 181, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 234.1155153 to one dp.\nAnswer: 234.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*x + 365. Let h = -43 + x. Solve -60*m**2 + 120*m**4 - 4*m - 6 - 75*m**3 + h*m**5 - 41*m + 210*m**3 - 239*m**5 = 0 for m.\nAnswer: -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2344, -3660, -4978, -6298?\n\"Answer: -i**2 - 1313*i - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + h - 1. Let o be t(1). Let j(b) = -2*b**3 - 2*b**2 + 2*b + 2. Let v be j(o). Let z(p) = 27*p - 1. Is z(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**2 + 18*i - 12*i - 7*i + (-2*i - i + 2*i)*(i - 3*i + 0*i) - i**2 - i**2 - i**2 + 10*i**2 - 2*i**2 + 0*i**2 as s*i**2 + c*i + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -352439, -352941, -353443, -353945, -354447?\n\"Answer: -502*k - 351937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 - 2*v**2 + 4*v - 2. Let x be a(3). Let l = x + 313. Suppose -4*q - q + l = 0. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405150 = -68*v - 82*v. What is the highest common factor of 73 and v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -0.0231?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1351.8356 - -1.9036.\nAnswer: -1349.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 4*t**2 + t**2 + 5*t**2 + 1 to j + v*t + p*t**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-74) - 5989\/(-1961). What is the second smallest value in m, -33, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -274, 3, 1, -19, -5, -9 in descending order.\nAnswer: 3, 1, -5, -9, -19, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3\/4, 1\/6, 1.54, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w**4\/3 + 98*w**3\/3 - 196*w**2\/3 - 698*w\/3 - 28 = 0.\nAnswer: -7, -2, -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585144 by 4.\nAnswer: -146286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/15)\/(-4 + 76\/20). Solve 0 = 6*n - 8*n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39037.\nAnswer: 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, t: 9}. Give prob of sequence ttte.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(20)\/sqrt(4)*-5*-1 + 2.\nAnswer: -20*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 17*y - 15*y. Suppose 2*p + 4*b - 6 = 0, 0 = y*p + b - 4*b - 27. What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 511 - 505. Let p be ((-1)\/3)\/(2\/(-12)). Suppose -v + a = p*v. Solve -4*c + v = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501\/5648 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2914800 and 14553180.\nAnswer: 2037445200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315219.\nAnswer: 3, 179, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310740, 310735, 310728, 310719?\nAnswer: 310708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, -40, -106, -188, -280?\n\"Answer: t**3 - 17*t**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 6*b + 2. Let w be 110\/30 + (-2)\/(-6). Let l be t(w). Do -69 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-7 - 4)) + -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 5)*(0 + 3 - 5) + 2 + 87 - 19)*(3*p**2 - p**2 - 5*p**4 + 4*p**4).\nAnswer: -68*p**4 + 136*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**26*u)\/u*u*u*u**(-21\/4))**25 assuming u is positive.\nAnswer: u**(-2625\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = -4*q + 42, 4*q = -3*u + 19. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281 (base 9) to base 12.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -2.67. Let o = q + -2.48. Which is smaller: o or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.2. Suppose k = 4*h - 13, 29*h - 28*h - 50 = 3*k. Which is the third biggest value? (a) s (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, p: 1, v: 2, a: 2, f: 1}. What is prob of picking 1 v, 1 y, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence datt when four letters picked without replacement from hattawawudhdtdht.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:10 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1\/2*v**2 + 293\/20*v**5 + 0*v**3 + 1\/12*v**4 + 0 - 2*v. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -22660, 3\/7, 1\/4 in decreasing order.\nAnswer: 2, 3\/7, 1\/4, -1, -22660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7 + 2. Find the common denominator of 77\/8 + 0 + n and -1 + 39\/(-27) + 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1037*f - 6. Let u(y) = -4151*y - 27. What is 9*l(o) - 2*u(o)?\nAnswer: -1031*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express -5841*l**3 + 376 - 376 - 9*l - 2*l**2 + 7*l as m*l**3 + p + w*l**2 + j*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*c = 40, -c - 25 = -m - 5*c. Suppose 5*j - 45 = p, -3*j = -m*j + 3*p + 5. What is the smallest common multiple of j and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -174471 and 6.9.\nAnswer: -1203849.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 236\/5*g**2 - 68\/5*g**3 - 48 + 68\/5*g + 4\/5*g**4 = 0. What is g?\nAnswer: -1, 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2369248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - m + 2)*(1 + 0 - 3) + 2 - m + 2*m - 4 + (-2*m - 4*m + m)*(4 - 1 - 4).\nAnswer: 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18330.13mm to kilometers.\nAnswer: 0.01833013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 8 - 27\/(4 - -5). Suppose -a*r = -3*s + 553 + 1424, r = 3*s - 1965. Let g = s + -261. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689600.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/3 + 21*g - 32. Let s(p) = 4123*p. What is k(s(r))?\nAnswer: 8246*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 11. Let q be o(6). Suppose q*t + 254 = 7*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1591*r + 5 - 1584*r + 3090*r + (-2 + r + 2)*(-3 + 5 - 1) - 4*r + 3*r + 3*r + 5*r - 2*r - 2*r.\nAnswer: -81*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/4 in 1, -0.5, 3741?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13746412 greater than 13746412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n*n\/((n*((n\/n**(5\/6)*n)\/n)\/n)\/n))**(25\/2) assuming n is positive.\nAnswer: n**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31251416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cede8 (base 15) in base 3?\nAnswer: 2200000010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by 1737\nAnswer: -148\/1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, n: 2, l: 1}. Give prob of picking 2 f and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -1 + (146 - 146)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (102*r + 76*r - 57*r)*(10 + 2 + 0) as g + h*r and give h.\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 33*s - 162. Let h be y(11). Suppose 0 = 5*b - 1206 + h. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/143 and (-854)\/(-4026) + (-2)\/(-18)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100266137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7407*b + 3688*b + 3694*b.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 125 = -5*t - 0*j, -4*t = j + 85. Let q = t + 38. Solve v + 2*w = -0*w - 3, 4*w + q = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*8\/54)\/(4\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8284956 and -13\/5523304.\nAnswer: 16569912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3))**(-2\/11)*(k\/(k*k*k**1))**(-5\/4) assuming k is positive.\nAnswer: k**(63\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 9873 + 2643. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -908948 by -4.\nAnswer: 227237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-12)\/64). Suppose 4*q = l*q. Let s = 4409\/13 - 339. Put s, 3, q in decreasing order.\nAnswer: 3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5)*(2 + 114\/(-60))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*i + 32. Suppose -2*o + i*j = 4*j - 118, o - 39 = -3*j. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*x + 80 = 0, -3*b + 16 = -b + 5*x. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120231 (base 4) to base 13.\nAnswer: -a070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9983 - 9978. Sort 3, -6, -10, v in decreasing order.\nAnswer: v, 3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.1 + -11.5. Let a = 1134 + -4535\/4. Let y = 0.06 + -0.1. What is the closest to a in h, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {a: 2, g: 2, b: 8, t: 3, i: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.1 (b) -79 (c) 117 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-189)*0 - (-23 + 8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 4775. Suppose -3*a = -8*a + x. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38699.62us in seconds?\nAnswer: 0.03869962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 5*o**2 - 5*o + 5. Let f(a) = -a**3 + a**2 - a. Let k(x) = 5*f(x) - v(x). Let m(s) = 4*s**3 + 6. Calculate 5*k(u) + 4*m(u).\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 14*c - 20 = -9*c, -2*a - 2*c = 8. What is the units digit of a + (-1199)\/(-9) + 24\/(-108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/((9\/3)\/3). Let n = 27 - j. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.035 in -0.4, -4, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 - 65*f**4 - 195*f**3 + 65*f**2 + 200*f = 0. What is f?\nAnswer: -8, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:33 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v**(-22)*v*v*v*v**(3\/26)*v*v**(8\/7)\/v*v*(v**(-26)\/v*v)\/v assuming v is positive.\nAnswer: v**(-7415\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.095 times -240.5?\nAnswer: 503.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**3 - 16*v**2 + 155*v - 3*v**3 + 16*v**2 - v**3 to the form u*v + d*v**3 + b*v**2 + k and give u.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24103552 divided by 106.\nAnswer: -227392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2.9.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 12*k**3 - 2 + 0*k**3 + 3 in the form j*k + r*k**4 + i*k**3 + t*k**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + -3*sqrt(35) + sqrt(35))*-6 + (sqrt(875) - sqrt(35))*-5)\/((sqrt(245) - (sqrt(245)*-1 + sqrt(245))) + (sqrt(5) - -2*sqrt(80))).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 - 5*f - 4. Let l be r(-4). Let w be 0\/(l\/1 + -2). Solve 7*h - 19 = 2*h - 3*d, w = -h + d - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4624764 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*y - 6 = 0, -12 = -2*d - y + 2. What is the third derivative of 21*b**6 - 9*b**2 + 48*b**2 - 46*b**6 + 3*b**d wrt b?\nAnswer: -2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*c = -8, 0 = 4*z + 39*c - 35*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-14 - -19 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-454)\/2043)\/(36\/11178)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c - 21. What is y(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/4 + 77*s\/4 - 79\/2 = 0. What is s?\nAnswer: -79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -659 - -1143. Which is smaller: g or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:26 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/25))**(7\/6) assuming u is positive.\nAnswer: u**(7\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + 6*v + 9. Let c(s) = -s**3 - 1. Let n(m) = -a(m) - 2*c(m). Let r be n(7). What is the nearest to r in 1\/2, 5, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*x - 4*h - h, -5*x + h - 37 = 0. Let u(g) = 119 - 45 - 4*g + 2*g + 3*g - 42 - 39. Give u(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3663*v - 1957*v = 1984*v + 8062 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, z: 9}. What is prob of sequence zz?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 485240845 + -1.\nAnswer: 485240844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -942*r**2 - 6178*r + 209462509?\nAnswer: -1884*r - 6178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2256)\/49 - (-635 - -589).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139634, 139503, 139132, 138395, 137166?\nAnswer: 135319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 4\/7, 0.5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from pyddyypy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1351*x - 1465*x - 274*x**5 + 963*x wrt x.\nAnswer: -5480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*o = 796*o - 4288 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -r, -6*r = -r + 2*f + 10. Let z(w) = -20 - 4*w - 20 + 48 - 4*w. Let u be z(r). What is the highest common factor of 168 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178542 and -15.\nAnswer: 2678130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 1408 - 547. Round b to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4\/7 - 260*h**3\/7 - 17012*h**2\/7 - 175260*h\/7 + 685584\/7 = 0.\nAnswer: -23, 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 323*u**3 - 160*u**3 - 163*u**3 - 6*u**4 + 404 - 54 - 47*u**2 wrt u.\nAnswer: -24*u**3 - 94*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-130) + 18\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*r - 93*r + 785*r)*(3 + 2 - 2).\nAnswer: 2295*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 43*h + 263*h)*(0 + 4 - 2)*(-4 - 4 + 0) in the form j + g*h and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 936827604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2 + 2*l + 0*l + 0*l**2 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3981 - -73486. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66396834 at least as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2\/5 (c) -5\/16 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 - 10947*k + 10947*k.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26086575 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 be 2 + 1\/(-3)*0. Suppose b*o + 3*u - u + 123992 = 0, -5*o - 4*u = 309984. What is o rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579917 is divided by 11370?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.84 + -15.36. Let z = 8.72 + y. Let n be ((-1)\/(-5))\/(1\/(-3)). What is the nearest to 0.1 in z, -1\/4, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*t**3 - 6*t**3 + 19*t**3)*(2*t**2 + 0 + 0).\nAnswer: -374*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -36, -48, -64?\n\"Answer: -2*d**2 - 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -75, -65, -63, -69, -83?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -2 (c) 8 (d) 5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 4. Let a = f + 2. Is (-739)\/(-11) + a\/11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 307, 1225, 2763, 4927, 7723, 11157?\n\"Answer: a**3 + 304*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2232232210 (base 4) to base 7\nAnswer: -6040354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -776\/359755?\nAnswer: -776\/359755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9088407\/7 + 1298344. Find c, given that -r*c**2 + 0 - 16\/7*c = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 98*y**3 + 2 - 1307*y + 5*y**2 + 1301*y - 22*y**3. Let p be a(1). What is p rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50249 and 1199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 234*f - 687. Let d be z(3). Solve 326*g = 329*g - 4*s + d, 4*g + 3*s = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = i, -i + 1 + 1 = -l. Does 16 divide l\/(2 + -1) + (-152)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27541079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + i**2 + i + 1. Let l = 1294 + -1293. Let k(c) = -2*c**3 - c**2 + 2*c - 1. Determine l*k(g) + x(g).\nAnswer: -g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**6 + 0*p**5 + 0*p**2 - 1\/6*p**4 - 51 + 13\/21*p**7 + 2*p - 43\/2*p**3. Find the second derivative of d(r) wrt r.\nAnswer: 520*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5 + 18\/5*z**2 - 12\/5*z - 12\/5*z**3 + 3\/5*z**4.\nAnswer: 3*(z - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32b78a + 5?\nAnswer: 32b790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 20. Let r = -7 - c. Suppose 0*x - r*x + 255 = 0. Calculate the highest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 111 (b) 0.2 (c) 1\/10 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1163 (base 8) to base 10\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 - 2 = 0, 305 = 4*z + 5*t. Let x = z - 40. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 3. Let p(c) = -2*c - 3. Let t = 10214 + -10208. Determine t*p(m) + 7*o(m).\nAnswer: 9*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 175*v**2 - 520*v - 380. What is o(-172)?\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7054072 weeks?\nAnswer: 426630274.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u**2 - 294*u - 6. Let h(w) = 3*w**2 - w - 1. Give -6*h(b) + l(b).\nAnswer: 3*b**2 - 288*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184590 by 20510.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 17*g + 2*g**2 - 86007 + g + 85967. Give o(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 47*z - 131. Determine n(12).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/23 or -1270?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 3215. Let r(h) = 2*h**2. Give r(i(n)).\nAnswer: 32*n**2 + 51440*n + 20672450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfwwqqo. Give prob of sequence fof.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) + (sqrt(2016) - (sqrt(2016) - (2*sqrt(2016) - sqrt(2016)))*-4) - sqrt(2016))\/((sqrt(72)\/(-5*sqrt(3)) - sqrt(24))\/sqrt(3)))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23769719 is divided by 21299?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 = -m, -35*z - 5 = -5*m - 36*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*k - 2*k - 5*w, 4*k = 4*w + 12. Suppose -2*a + 3640 = a - g, g = -k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16093787419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -42\/523 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 913 and -554.252.\nAnswer: 358.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213987.\nAnswer: 907, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - -0.05. Let k = o - 2.28. What is the biggest value in 1\/10, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.174 + 0.174. Which is greater: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -138. Let b = p + -131.98016. What is b rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3 + 4*n - 6 - 22 + 7. Determine r(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 6 + 86*n + 33*n**3 - 2*n**3 - 86*n + 3 - n**4 in the form t*n + g + k*n**2 + y*n**4 + m*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5\/8 - 723*d**4\/8 + 27003*d**3\/4 - 26277*d**2\/4 - 54003*d\/8 + 53277\/8 = 0. Calculate d.\nAnswer: -301, -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4\/(-80)*2). Suppose 13*i - h*i - 99 = 0. Suppose x = -2*x - i. Find the common denominator of 133\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 4*q + 5. Suppose -2*w + 7 = n, 5*n - 4*w - 22 = -w. Let d be z(n). Solve d = -b - 3*s - 6, 2*b - 6*b - 2*s = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303554 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**4 - 6*r**3 + 11*r**2 - 9*r. Let j(l) = -7*l + 4. Let h(c) = -9*c + 5. Let x(m) = -4*h(m) + 5*j(m). Let y(n) = -s(n) - 3*x(n). Factor y(o).\nAnswer: -o*(o - 3)*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 738.3311l?\nAnswer: 738331.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*i - 21 = 0, 5*i - 24 = 5*d - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let k = o - -1. Let b(j) = -8*j**2 + 2*j + 1. Let s(q) = 9*q**2 - 3*q - 1. Let i(l) = -5*b(l) - 4*s(l). Calculate i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 129\/20*a**5 - 1\/6*a**4 + 0*a + 0 + 5\/6*a**3 + 3*a**2. Let m be d(-5). What is m rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 - 1) + 3)*1. Suppose 4*c + g = 24. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1\/6*f**3 - 2 + 0*f**2 - f. Let n(o) be the first derivative of c(o). Let p(t) = 2*t**2 - 6*t - 1. Calculate -6*n(d) - p(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*825\/99\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 101*x + 760. Let l be n(-55). What is the second biggest value in 0.3, l, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 6 - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 158780*x**2 + 4*x - 168675*x**2 - 2*x.\nAnswer: -9895*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557 (base 11) to base 3.\nAnswer: 220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 13. Find the third derivative of -5*g**2 + 3*g**2 + y*g**4 - 5*g**2 - g**2 wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uffunffuunquu. What is prob of picking 1 q and 3 f?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -420 - -74. Let n = -91 - p. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6*c + 3*c + c + 6 - c**3 - 12*c as t*c**3 + l*c**2 + a + h*c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 + h**2)*(4*h + h - 2*h)*(12*h**2 - 2*h**2 - 2*h**2).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x. Let k(b) = -4*b - 10. Let v(c) = -3*c + 1. Let l(p) = k(p) + 10*v(p). Give s(l(a)).\nAnswer: -238*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 13, -8, -63, -164, -323, -552, -863?\n\"Answer: -2*y**3 + y**2 + 12*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 3*d + 9\/2.\nAnswer: -3*(d - 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04656 (b) 3\/4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + -838b?\nAnswer: -8354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrw when three letters picked without replacement from {h: 2, r: 5, d: 1, i: 6, v: 3, w: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5)*v*v*v**(-1)*v**(-2\/9)*v\/(v*v*v**(-3\/7)*v))**(-22) assuming v is positive.\nAnswer: v**(9658\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -5 (b) 1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 1. Suppose -2*r + 13 = 5*n, 2*r - 9*n + 17*n - 4 = 0. Let v(i) = -8*i**2 - 2*i - 8. Calculate r*p(j) + 2*v(j).\nAnswer: -2*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((2 - -2) + (59 - 66) + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 15 = -13*y. Suppose 0 = -n + 5*a + 1, n - a + 0 = 5. Solve n*z = z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34415 (base 10) to base 13\nAnswer: -12884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from iqxndnqiidcqqnc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times -6550\nAnswer: 20305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 2*k + 5, 4*k - 5 = 5*t. Let y = 4 + t. Solve 2*x = y*d, 0*d + 2*d + x = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -45*x - 581. What is the remainder when c(-14) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -600 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 6. Let l be s(-5). Let q = 99 + l. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5)\/r)\/r)**20)**(-41\/4) assuming r is positive.\nAnswer: r**492","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 7*r + 6. Let l(q) = 2*q**2 - 8*q + 7. Determine 6*j(h) - 5*l(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382588 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4895379 kilograms to milligrams.\nAnswer: 489537.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 12291189*d\/2 + 24582377\/4.\nAnswer: (d - 24582377)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269890 or 1.89?\nAnswer: -269890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 1)*(1 + 4 - 3) - 1 + x + 1 - 2 + 2 - 4*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**4 - 790*a**3 + 23035*a**2 + 231310*a + 207480 = 0. What is a?\nAnswer: -7, -1, 52, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64750.69 litres?\nAnswer: 64750690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 + 12.2. Let q = h - 17. Sort q, 0.2, 3\/4 in increasing order.\nAnswer: q, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 607*n**2 - 3408*n - 2775. Calculate v(-309).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 937, 1905, 2891, 3895, 4917, 5957, 7015?\n\"Answer: 9*s**2 + 941*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {n: 2, v: 1, c: 3, o: 1, s: 3, i: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (279\/62)\/((-6)\/(-16))*5\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.295 + -2.705. Let m = -41\/217 - 3\/31. What is the fourth biggest value in -1, -6, m, x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 59*u**2 - 4*u + 2. Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (1 - 1))\/(12\/8). Factor -19*i + 24*i + 12*i**w + i**3 + 2 - 8*i**2.\nAnswer: (i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 - 1.4. Let j = n + 19. Let p = 11.5 - j. Which is the third smallest value? (a) 2\/15 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let m be 18\/28*6\/(-45). Let t = 1\/5 - m. Is q smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -81791722.2.\nAnswer: 81791718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -247*b + 372*b**2 + 247*b + (-3 + 1 + 3)*(b - b - b**2) + 2*b**2 + 2*b**2 - 3*b**2 + 3*b**2 - 2*b**2 + b**2 + (4*b - 5*b + 0*b)*(0*b - b + 0*b).\nAnswer: 375*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 16?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from heinnng.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5723, -11413, -17103, -22793, -28483, -34173?\n\"Answer: -5690*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7344*-102\nAnswer: -749088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 18. Let w be o(6). Let s be -3 + 3 + w*2\/(-8). Let 0 + s*z**2 + 1\/4*z**3 + 0*z = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -7, -5, -15, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10774, 21560, 32370, 43216, 54110?\n\"Answer: 2*n**3 + 10772*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9360 by 12.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3\/3 - s**2 + 2*s + 1. Let u be g(-3). Let f be u\/(2\/(-4) + 0). Solve 2*p - 16 = -f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2004 by 1.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 137 - 15*z**2 + 20*z**2 - 3 - z**2 + 3 + (-4*z + 4*z + z)*(-z - 4*z + 4*z) - 2*z**2 - z**2 + z**2 to v*z + s*z**2 + f and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11785\/12 + -982. Let o(s) be the second derivative of 5\/48*s**4 + 1\/30*s**6 + 0 - 7*s + 0*s**2 - 11\/80*s**5 + j*s**3. Suppose o(q) = 0. What is q?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703556, 703558, 703560, 703562?\nAnswer: 703564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/99 or 0.16149?\nAnswer: 0.16149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2068, 4139, 6210, 8281?\nAnswer: 10352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 2436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 400*x + 300. What is n(137)?\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 17*o**2 + 13*o + 163. What is the tens digit of b(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*u - 5*x - 12, -u + 74 = -38*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 11*w = f - 720, -4*w + 3048 = 4*f. What is the lowest common multiple of 906 and f?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - (-12 + -19)) + 47 - (-12)\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 - m + 1. Let z(d) be the third derivative of -d**6\/15 - d**5\/15 - 5*d**4\/24 + 2*d**3\/3 + 2*d**2 - 60. Give 5*r(g) - z(g).\nAnswer: 3*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23020167 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 + 254. What is the remainder when (z - 16) + 6 - -51 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.83 + 0.817. Let f = -5.013 - k. Let p = -2 + 1.5. Which is the smallest value? (a) f (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9408.199 millennia?\nAnswer: 940819.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 627 + -1299\/2. Calculate the common denominator of 51\/11 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*b - 30, 0*b + 2*b + 64 = 5*k. Calculate the remainder when 32 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 10353 + 2*l + 10283.\nAnswer: -4*l - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 2. Let i(v) = v**2 - 9*v - 16. Let u be i(11). Let d(s) = -25*s - 17. Let z(p) = u*d(p) - 51*h(p). Let l(a) = -2*a. What is l(z(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -2*f**2 + 0 - 2\/3*f**4 + 1\/6*f**3 + 7*f. Let b(m) = m - 4. Let l be b(5). Determine z(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27004.18ug to nanograms.\nAnswer: 27004180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 1 = 7*q - 3*k, 2*q - 2*k - 6 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212 (base 3) in base 13?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 5, -68787, -1\/5.\nAnswer: -68787, -1\/5, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 5. Suppose -3*k - o = -3, -3 = -w*k - o + 4. Find t such that -t**2 - t**2 + k*t**4 + 0*t**3 + 2*t**3 - 2*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*f, i = 3*f - 0*f + 5. What is the second smallest value in -0.3, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1121552*p**6 - p**4 - 14*p**3 + 13933218*p**2?\nAnswer: 134586240*p**3 - 24*p - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36534601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11490, -27678, -48562, -74142, -104418, -139390, -179058?\nAnswer: -223422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*q**2 - 14 - 24 + 28*q**4 - 112*q + 40*q**3 + 6 + 52*q**3 = 0. What is q?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 4, b: 2, v: 1, a: 4, x: 5}. What is prob of picking 1 b and 1 h?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5476*i + 159. Let o = 701 - 706. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*t**3 - 3*t**2 - 559*t**3 - 495*t**3 + 3*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p**2 + 0 - 8*p**2 + 21*p**2 + p - 2 - p**3 as l*p**3 + o + f*p**2 + q*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -54243?\nAnswer: 54240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 3:58 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 3*r - 18, -3*c - r + 15 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 29 = -3*o, r + 4*o + 17 = 39 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.06113 + -0.06113. Let n = -0.97 + -0.03. Which is the closest to n? (a) 5 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.21 and -18513465139?\nAnswer: 18513465134.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115421, -461697, -1038817, -1846775, -2885565, -4155181, -5655617?\n\"Answer: f**3 - 115428*f**2 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1db (base 14) in base 9?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 1356481*b**3 - 460006784619*b**2 - 2300067835245*b.\nAnswer: -b*(b - 678243)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 0*a**2 - 1144*a - 1152*a + 2296*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475916 and 11753?\nAnswer: 34741868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16326947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1032)\/60)\/((-32)\/10)*(-3632)\/(-227).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 - -53320252?\nAnswer: 53320360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814232747.\nAnswer: 3, 31, 19507879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-9)\/(-33))*2. Suppose -b = -3*l - 4. Let o = -3 - -5. What is the lowest common multiple of o and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -246 + -1.21.\nAnswer: -247.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**5 + 0*x**3 + 0*x - 20 + 0*x**4 + 14\/3*x**6 + 3*x**2. What is the second derivative of u(m) wrt m?\nAnswer: 560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*h + 18, 37*h = 2*w + 32*h + 4. Let o(c) be the second derivative of c + 1\/42*c**4 - 2\/21*c**w + 0 + 1\/7*c**2. What is b in o(b) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 167. Let v(x) = x**2. Calculate i(v(r)).\nAnswer: 2*r**4 - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, 68762, -3 in increasing order.\nAnswer: -3, 1, 2, 4, 68762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awwzmwmamm. What is prob of picking 3 m and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n - 3. Let h be s(6). Suppose -2*q = h*q - 65. Suppose -q = -2*m - 5. Is 1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(300) + -5)*6 + 0 + 0)*1*6)**2.\nAnswer: -3240000*sqrt(3) + 10530000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -5. Let j be 40\/12*(-24)\/s. Suppose -3*b + j*b - 75 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -10*a + 63. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46707107621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1580816960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 5) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22754 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293750*-0.3.\nAnswer: 88125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5 - 3462*d**4 + 192486*d**3 + 8653716*d**2 - 456472017*d - 3004278822 = 0.\nAnswer: -47, -6, 57, 1093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(a - 3*a + 3*a) + (3*a + 0*a + 4*a)*(-1 + 0 - 2).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1594, -6137, -13374, -23029, -34826, -48489?\n\"Answer: 46*d**3 - 1623*d**2 + 4*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3\/7, 1\/4, 559 in ascending order.\nAnswer: -9, 1\/4, 3\/7, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20*y**3 - 2*y**2 - 8*y - 20. Let z(o) = -7*o**3 + o**2 + 3*o + 7. Determine -3*x(t) - 8*z(t).\nAnswer: -4*t**3 - 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 6*k + 7 - 9. Let f be (-26)\/10 + 2\/(-5). Let m be l(f). Is m at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 + 60*h**3 + 15*h**2 - 500*h - 660 = 0. Calculate h.\nAnswer: -11, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 21 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23851\/8 + 2976. Let v be (-7642)\/6*6\/(-4). Let a = v + -1961. What is the common denominator of a and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - -5) - (10 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 5. Suppose -5*r - n = -30, 3*n - 5 + 0 = 2*r. Let c be k(r). Suppose 1 = -3*p - l + c, 4*l = -2*p - 4. Solve y - p + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19209)\/25992 + 1\/(-19) + 1\/8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1882.215 years?\nAnswer: 188.2215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2870510 > -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/77 (b) -3 (c) 0 (d) 5 (e) 37.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 84*c**2 + 1276*c - 383. What is d(97)?\nAnswer: 1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 plus -3951?\nAnswer: -4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2137030227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 66725989?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = 0, 0 = -3*k + 5*k - 2*u. Suppose 9*b - k*b - 44 = 0. Find the third derivative of 35*f**2 + b*f**2 - 3*f**2 + 24*f**4 + 10*f**4 wrt f.\nAnswer: 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.2, -67141.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198 - -208. Let v(c) = 3*c - 2*c - 2*c + 4. Let g be v(-6). What is the highest common divisor of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l = 3*p - 5347, 5*p + 4*l - 8897 = 0. Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/(1\/5). Suppose 30 = q*y + y. What is the highest common factor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000444782 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*i + 15 - 143 - 80 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - t - 0, 35 = 5*i + 5*t. Suppose 5*u + 32 = 2*w, w + i*u - 10 = 4*u. What is the units digit of (w + -4)*9\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, q: 2, u: 4, n: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 48*x - 153, -10109*p + 10112*p - 102 = 3*x for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 21395310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**2 + 0*y**4 + 0*y**3 + 6*y + 3\/5*y**5 + 30. Find the first derivative of r(t) wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by -9\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 5, 10, 15, 20, 25?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001111010 (base 2) to base 14\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -233744?\nAnswer: -19\/233744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220111 (base 3) in base 12?\nAnswer: -20a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1248 + 29042*k**3 - 58082*k**3 - 5*k**2 + 29041*k**3 to the form i*k**2 + v + c*k**3 + r*k and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w. Suppose -6 + 0 = -2*h. Suppose c - h*d - 8 = -3, 0 = -c - 4*d - 2. Let v(g) = -11*g**2 + 18*g**c - 5*g**2. What is v(k(p))?\nAnswer: 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j - 3*j + j + 13 + 0*j. What is g(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -98.\nAnswer: 9\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 2:59 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.133 + 0.1?\nAnswer: 12.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 14*p - 54. What is the remainder when 43 is divided by i(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8531 = -3586. Solve 0 = 6*h - 4033 + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 2, 4, 5, -1, 18 in ascending order.\nAnswer: -1, 2, 4, 5, 18, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -80700 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/(-2)))\/((-131)\/2358)*10\/4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*h + 300645527 - 300645527.\nAnswer: 162*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(52) + -4 + sqrt(13))**2 - sqrt(468)*-1 - (2*sqrt(26)\/sqrt(2) + sqrt(13) + (sqrt(117))**2 + -3))*-5.\nAnswer: -550 + 145*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6238790417 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32004 + -11342031?\nAnswer: -11310022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.09 + 6.99. What is the closest to -1.5 in -2\/5, m, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*z**3 - 150*z**2 + 21*z + 36 = 0. What is z?\nAnswer: -12\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1877971119 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589281931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3250, -3335, -3568, -4021, -4766, -5875?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9626246.\nAnswer: 2, 7, 98227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -8.8. Let h = x - 11. What is the nearest to -1 in h, -2\/3, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/180 - 37*k**4\/54 + 77*k**3\/54 + 25*k**2\/3 - 1944*k. Factor l(w).\nAnswer: -(w - 2)*(w + 1)*(w + 75)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13072 and 836?\nAnswer: 143792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(18) + sqrt(18)*1) + 0)*-2)**2 + -2 + 4.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -57*h**2 - 45546*h - 2401. Determine k(-799).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = o + 103, 2*o - 4*o - 31 = -f. Suppose 0 = -5*k + f, -63 = -j - k + 69. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -0.88. Let p = c - -0.26. Let i = -0.219 + 0.619. What is the second smallest value in p, i, 5, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 59*a + 6 + 65*a - 120*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -92, 463 in descending order.\nAnswer: 463, -5, -6, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267164337.\nAnswer: 3, 11, 8095889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 0.06417, -8, 1 in descending order.\nAnswer: 65, 1, 0.06417, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 132. What is the derivative of 219*z**4 - 109*z**4 + 23 - 29*z**2 - 109*z**k wrt z?\nAnswer: 4*z**3 - 58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3529140*y**2 - 3529133*y**2 - 4 + 0 - 1 - 9 + 14.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1740*s**6 - s**4 + s**2 - 2105*s?\nAnswer: 208800*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:13 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4492.68 and -0.5.\nAnswer: 2246.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22168?\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 15 = -2*n. Suppose -2*m = n*m - 10. Suppose x**m + x - x = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:47 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and -113\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2101.28 - 2101.2. What is the third biggest value in s, 18\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-4 + -11 - 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 1. Let v(c) = 2*c**3 - 13*c**2 + 8*c + 5. Let m(j) = -5*l(j) + v(j). Factor m(z).\nAnswer: 2*z*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18173 is divided by 17927?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-32)\/(-6))*-4. Let u = -18.4 + 39. Let a = u + -21. Put z, a, 3\/2 in descending order.\nAnswer: z, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 39*p**2 - 5*p + 277. Let a(o) = 45*o**2 - 6*o + 283. What is -5*a(n) + 6*j(n)?\nAnswer: 9*n**2 + 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1047, 967, 887, 807, 727, 647?\n\"Answer: -80*t + 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 499*l**3\/9 - 1097*l**2 - 27995*l\/3 - 261602\/9 = 0 for l.\nAnswer: -23, -11, -94\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3457 - 6911\/2. Factor 3\/4*d + 3\/2 - 3\/4*d**3 - a*d**2.\nAnswer: -3*(d - 1)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -13*l - 2*l. Suppose -l*c = -2088 - 2082. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138\/11 + 657\/55. Let t = -1.2 + 4. Let j = t - 5.8. Which is the smallest value? (a) j (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)*c*c*c*c\/(c\/(c\/(c**(2\/9)*c)))*((c\/(c*c**(3\/5)*c))\/c)\/(c\/(c\/(c*c*(c*c**(1\/5))\/c))*c) assuming c is positive.\nAnswer: c**(-406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58 + -0.543. Let v = h + -1.037. Which is the third smallest value? (a) v (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-32)\/280)\/((-60)\/(-42))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 252 = 82. Suppose 4 - n = -5*d. Solve -d = -3*g + 2*s, 5*g + 0*s + 4*s = -12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/15*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**6\/1260 + 13*p**5\/210 + 9*p**4\/28 + p**3 - 2*p - 122. Let i(n) be the third derivative of b(n). Factor i(u).\nAnswer: -2*(u - 27)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 74 = 3*b, -5 + 2 = -3*a. Suppose 0*p = 6*p - b. Sort p, -1, -2, -3.\nAnswer: -3, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*j - 83*j - 505*j - 3424 - 4346 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60, -2, 56?\n\"Answer: 58*u - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 830669599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 0 - (-1839684)\/(-32580).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 201122221?\nAnswer: -201122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 + 2. Let t(g) = -24544*g - 37*g**2 + 24544*g. Calculate t(a(o)).\nAnswer: -2997*o**4 - 1332*o**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91122*w - 4 + 4 + 201507*w + 166016*w.\nAnswer: 276401*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31232 - -2436029\/78. Let j = -9\/13 - x. Factor 1\/6*w**3 + 1\/6 - j*w - 1\/6*w**2.\nAnswer: (w - 1)**2*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18*y - 347. What is m(20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.1 (c) 530 (d) 1.70557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -9*s. Suppose 5*n - 10 = -0*n, s = -3*b + 4*n + 244. What is the least common multiple of b and 22?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*m + 40 = -3*u - 205*m, 6*m + 60 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (1 - 7) + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4150 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:39 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2463 - 2085. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -18. Which is the third biggest value? (a) 0 (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {g: 1, e: 2, d: 2, u: 2, a: 3, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.235 - 0.435. Which is the third smallest value? (a) -2 (b) f (c) 1\/9 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l - 13*l + 4*l**4 + 3 + 4*l**2 - 2*l**4 in the form r + o*l**2 + g*l + z*l**4 + t*l**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 times -0.24\nAnswer: 0.03648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3521 and 3\/2030.\nAnswer: 1021090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 115 (c) 1 (d) -1 (e) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 6)*(37*j**2 + j**3 - 37*j**2).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*-3*sqrt(162)*-4.\nAnswer: -540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*u = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2775698828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10) - 216\/(-45). Find the second derivative of 13*y + 21*y**5 - 27681*y**4 + 1 + 2*y**5 + 27681*y**a wrt y.\nAnswer: 460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 4\/3*x**3 + 5*x**7 + 0*x + 0*x**4 + 0*x**5 - 35 + 0*x**6 + 0*x**2. Find the third derivative of l(y) wrt y.\nAnswer: 4200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44022 and 381018.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.0836ml in litres?\nAnswer: 0.4350836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 10*g + 40 = 0. Factor 2*i**3 - 3*i + 2*i**2 - 11*i**2 + 4*i**2 + g*i.\nAnswer: i*(i - 2)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/3 - 4*w**4 - 6*w**3 + 8*w**2\/3 + 8*w = 0 for w.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 55 = 0. Suppose 0 = l - 116 + b. Let v(o) = o**3 + 12*o**2 + 14*o + 10. Let q be v(-10). What is the highest common divisor of l and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-2*h + 2*h - 2*h) - 4*h + h + h - 3*h - h - h)*(-76 + 37*h - 35*h + 145)*(h - h - h).\nAnswer: 18*h**3 + 621*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 61*l**2 - 9*l**2 + 8*l**2 wrt l?\nAnswer: -124*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x. Let p(f) = -6*f**2 + f**2 + 4*f**2 + 3*f**2. Determine v(p(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -8, 4\/7.\nAnswer: -8, 4\/7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = i - 11, -2*i - 26*n = -23*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 1 = -9*q. Let k(p) = -8*p + 1. Let y(u) = 8*u - 1. Calculate q*k(a) + 5*y(a).\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -128. Solve -1 = -q*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*p)*(-3 + 5 - 3) + 0*p + 3*p + 3 - 4 to the form a*p + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -11 - -4) + (-2 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 90 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -37 - 5) + (-5 - (8 - (8 + -3)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -4114?\nAnswer: 31\/4114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38584.\nAnswer: 2, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/((u\/(u**2*u))\/u))*u))\/u)**(18\/7)*(u\/u**(-1\/10))\/(u*u**8))**(-25) assuming u is positive.\nAnswer: u**(965\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*l + 26. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*o - 13, 57*o - 58*o = -3*s - 25 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65061459 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (3 + -3). Let x = 0.133654 + 0.166346. Put -0.2, x, 9, s in descending order.\nAnswer: 9, x, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, t: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1504\/(-28) + (-4)\/14. Let s = 86 + i. Let m = 52 - s. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*m**3 + 7\/2*m**5 - 88*m + 0 - 45\/2*m**4 - 234*m**2 = 0 for m.\nAnswer: -2, -4\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376200 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(22)\/sqrt(2) + sqrt(11)) + sqrt(11) + (2*sqrt(99) - sqrt(99))\/sqrt(9) + -6*-2*sqrt(539) + -1)**2.\nAnswer: -152*sqrt(11) + 63537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000192434 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 549\/(-12)*(-56)\/(-6). Let v = -262 - g. What is the least common multiple of 5 and v?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7111.\nAnswer: 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 314827, 1259311, 2833451, 5037247, 7870699?\n\"Answer: 314828*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14423*y - 129995. What is z(9)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710292137 to the power of 1\/2, to the nearest integer?\nAnswer: 26651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13 + 7 + l + 0 + 13. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130192 and 618412?\nAnswer: 2473648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 15. Let p be z(10). Are -7 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -24*s**2 - 171*s - 39. Give d(-10).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/386550 and 179\/257700.\nAnswer: 773100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:47 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/9*(-170)\/340.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 12. Let t = -8 + o. Let p be (-12)\/(-54)*(3 + 0). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 20 = -5*j. Let i = 1.8 - 19.8. Which is the second smallest value? (a) i (b) j (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(12\/(-771))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210168509.\nAnswer: 3, 11, 37, 991129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.94 + 5. Let y = 2.56 - u. Let p = y - 2.544. Round p to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38474831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252773213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6231 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1883 - 1883 - 239*p**2)*(p - p + p).\nAnswer: -239*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -3 + (sqrt(693)\/(sqrt(22)\/sqrt(2)*1) - sqrt(756)\/(sqrt(12) - sqrt(48))*1)).\nAnswer: 8 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, c: 6}. Give prob of sequence zcz.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*256\/48)\/((-16)\/24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13397 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 890. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (1 + 2 + -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.6253 * -3\nAnswer: 28.8759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1237, 2331, 3279, 4081?\n\"Answer: -73*t**2 + 1313*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s)**19*(s*s\/(s*s**1))**(-10\/11) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k - 45. Let y = -24 - -34. Let s be j(y). Find the third derivative of -4*a**s - 7*a**2 - 66*a**4 + 66*a**4 + 26*a**2 wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 2. Let z be a(2). Suppose -u - 5 + 1 = 0. Sort z, u, 3.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7305974 - 7305974.2999979. Let l = i - -0.3. What is l rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 129.0661.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79833 is divided by 6140.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.741613 millennia to months.\nAnswer: 116899.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 2*x. Let l(u) = -2*u**3 + 2*u**2 + 7*u + 83. Let n(v) = -v**3 + v**2 + 3*v + 42. Let i(p) = -3*l(p) + 7*n(p). Is i(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21407 or 21432?\nAnswer: 21432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:30 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*w + 18, -4*w = 2*s + w - 33. Suppose -k + s*k - 30 = 0. Suppose k = 5*n + 4*x - x, -n - 5*x = -2. Solve 3*d = 5*d + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/660 and -47\/26331840?\nAnswer: 289650240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31815 in -2, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a - 238. Let r be c(41). Let m = 21 - 14. What is the greatest common divisor of r and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 29*r**3 - 8*r**2 - 15*r - 11. Let l be j(7). Suppose -8*y + 6073 = -l. Let v = 459 - y. What is v rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 397*z**2 - 124034*z + 375648.\nAnswer: (z - 602)*(z - 3)*(z + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -8e6bc?\nAnswer: 8e6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5584b71 (base 12) to base 11\nAnswer: 92569a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 3*o - 3. Let j be k(3). Suppose j*i + 10 = 52. Calculate the highest common factor of i and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4 - (1 - 2). What is the smallest value in 2\/5, 2\/3, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - z - 9. Let l(v) = 13*v**2 - 9*v - 44. Let k(t) = 7*t**2 - 5*t - 23. Let h(p) = -5*k(p) + 3*l(p). Give -6*h(o) + 11*j(o).\nAnswer: -2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24385, 24500, 24615, 24730?\nAnswer: 24845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2*(-2)\/(-4)). Suppose 5*i + 5 = 25. Suppose s*a + 64 = i*a. Calculate the remainder when 29 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/40 and 17\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 839 = -5*f, 6*u - 2*u - 3*f = 1657. Let j = u - 409. Let n(y) = y**3 - 4*y**2 + 3*y - 2. Calculate n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -62*d + 9. Determine k(1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 1 f when three letters picked without replacement from yyffyyxfyxxyy?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632152\/(-32)*(28\/(-6) - (-4)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54960 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -310, -694, -1230, -1918?\n\"Answer: -76*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18900802*d**2 - 157972968*d.\nAnswer: 37801604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 226613?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20871, -83477, -187817, -333891?\n\"Answer: -20867*p**2 - 5*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + d - 41. Let c be t(-5). Find w such that 49732 - 49732 - 572*w**2 - 676*w + 100*w**3 - 4*w**c = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + -4. Let u be (-4)\/h + 16\/6. Let j be (-2 + (0 - u))\/(-1). Calculate the highest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4, 5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -7e8d20?\nAnswer: 7e8d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/4649733 and -25\/198.\nAnswer: 9299466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 2. Let k(s) = 10*s + 5. Suppose -10 = -35*g - 80. Let b be (2\/3)\/(10\/75). Give b*y(p) + g*k(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 141852.\nAnswer: -141852.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:29 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 33, 104, 175, 246?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 13*z - 10912. Let u = z + -2906\/3. Let m = 67 - 45. Are m and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 384\/64 - 3\/(6\/4). Solve -2*c + l*c = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 15*q + 20. Let b(y) = -2*y**3 - 5*y**2 + 31*y - 45. Give -4*b(h) - 9*l(h).\nAnswer: -h**3 + 2*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.024 - 0.324. What is the closest to c in -0.3, -0.2, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 67 - 67 - 24*z + 0*z. What is m(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668098 to the power of 1\/2, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + 1 + -570 + 542?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {y: 6, d: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98850458?\nAnswer: 2, 7, 23, 37, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-6 + (-3 - (-4 + 0)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-32)*484\/(-13310)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 + -0.105. Which is smaller: r or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (0 - -1)*-1*1. Suppose -3*k + g = -16. What is the least common multiple of 5 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:03 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.0999676 + 5.1. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u - 17*u**2 - 21*u)*(5*u**2 - 5*u**2 + 3*u**2)*(3*u + 2*u - 7*u) + (-u**4 - 3*u**4 + u**4)*(-20*u + 24*u + 31*u) + 0*u**4 - 2*u**5 + 0*u**4.\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19099551 to the power of 1\/2, to the nearest integer?\nAnswer: 4370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 237 - 123 - 3*d - 119. Let m(y) = -7*y + 9. Let s = -19 + 30. Calculate s*t(k) + 6*m(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 s when three letters picked without replacement from {t: 2, n: 1, f: 3, a: 2, s: 12}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/61 - 136\/427. Let m = 0 + 0.5. Let q = m + -1. What is the closest to 0.2 in -0.4, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1967, 16271, 54815, 129719, 253103?\nAnswer: 437087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 - 14)*(-546*c**2 - 147*c**2 - 273*c**2) in the form y + p*c**2 + f*c and give p.\nAnswer: 16422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3 - -142)*-3. Let v = -199 - j. What are the prime factors of v?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 11 = 4*h - h, -5*t = 5*h + 30 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 + n**3\/2 + 5*n**2\/2 + 16*n. Let x(s) = -5*s**2 - 14*s - 14. Let k be x(-1). Determine b(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 995 - -352. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 126. Suppose 140*t - r*t = 18. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 316\/((-2)\/(-6)*3). Suppose -5*r + j + 129 = 0. Calculate the remainder when r is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*t**3 - 9 - 21118*t + 21118*t.\nAnswer: -1096*t**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203327926?\nAnswer: 2, 101663963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/(30\/80). Suppose d*i + 8 = 2. Let l = 3 - i. What is the least common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, s: 9}. What is prob of sequence vsvs?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0152 - -0.105. Let d = q + 0.20995. Let p = 0.3 - d. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*h + 86, 103 = 5*p - 3*h - 28. Let i = -10 - -7. What is the closest to 1 in p, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*b - 57*b - 72 = 0. Let r(p) = -p**3 + 9*p**2 + 6*p + 26. What is the lowest common multiple of 30 and r(b)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 8. Let d(w) = w**2 + 10. Suppose 6*o - 5 - 19 = 0. Let j(i) = o*d(i) - 5*y(i). Let f(h) = 5*h**2. Determine f(j(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85\/12 + -31\/4. Let l = 11 - 19. Let w be 4\/6 + l\/3. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**2 - 1277*s + 2435. Determine m(69).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1259 - -1258.94. Sort 0.3, -1, -5, u in descending order.\nAnswer: 0.3, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-6)\/(-27))\/1)\/((-3)\/9). Put 72, 3, o in ascending order.\nAnswer: o, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q - 6. Let z be t(-5). Let d = -0.05 - 0.01. Let j = 0.26 + d. Which is the closest to z? (a) -1\/3 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*t**3\/3 - 34*t**2\/3 - 32*t\/3.\nAnswer: t*(t - 2)*(25*t + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 6*x - 3. What is d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o + 5*k, -3*o = -6*k + k + 61. Let h = o + 19. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/34*-1)\/(3 - 5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*r + 26 - 71, -r - 19 = -3*d. Let k(a) = 2*a - 2. Let v be k(d). Solve 3*p + v = 3*m, -2*p + 0 = 4*m - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*o + 11*o - o - 32 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {y: 1, s: 3, u: 3, o: 3, x: 3, m: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 760 and 114?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -252*c - 7. What is the tens digit of g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 + 5*u**4 - 6*u**3)*((-1 + 2 + 2)*(4 + u - 4) - 4*u + 5*u + 0*u - 2*u - 8*u - u).\nAnswer: -35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -21841 in ascending order.\nAnswer: -21841, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 4, -10, -40, -92, -172, -286, -440?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.3 - -153. Which is the nearest to 0.1? (a) 2\/15 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5860\/513 or -12?\nAnswer: -5860\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79317400 and 4750?\nAnswer: 396587000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -40. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 167*p - 170*p + 2*k - 7, -12*k - 245 = p + 15*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852070, -1704140, -2556210, -3408280, -4260350?\nAnswer: -5112420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 64, 5\/204, -1, 2, 0.5 in decreasing order.\nAnswer: 64, 2, 0.5, 5\/204, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 15. Let x(d) = -10039*d. Calculate s(x(i)).\nAnswer: -20078*i - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:52 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8347379.903431 + 0.1.\nAnswer: 8347380.003431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15115 or 649924\/43?\nAnswer: 649924\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/153)\/(5465208\/2732589 - 2). Let k = b - 1786. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50850*u**3*y**2 - 9006*u**3 + 2*u**2*y wrt y?\nAnswer: 101700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1798016*i + 1110141*i - 714177*i.\nAnswer: 2193980*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136545791 to seven dps.\nAnswer: -0.0013655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c - 47. Suppose -842*j + 160 = -862*j. Give x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 4, -5\/2, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/7024953 and -5\/98943.\nAnswer: 7024953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1800 and 12?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 2*u - 2*u. Let d(w) = -134*w**2 + 59*w**2 + 70*w**2. What is d(m(c))?\nAnswer: -125*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*d + 28 = 0, 5*d + 2 = 5*c - 38. Suppose 3*t = -4*t + c*t. What is the closest to t in 3, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/176 and 63\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 220\/11 + 3*(-25)\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from pjaqaqfafffaju.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z**3 + 5*z**2 - 6*z - 6. Let y(n) = 14*n**3 + 4*n**2 - 5*n - 5. What is -5*s(c) + 6*y(c)?\nAnswer: 9*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q - 26*q - 18*q - 24*q - 18*q + 110*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-74)\/333 + (-10185)\/(-27)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -54407 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + k = -16, -3*a = -2*k - 11. Let p be 0 - (-3 + a) - 21. What is the tens digit of p\/(-2) - (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:15 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 1\/3 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7840330 and -109\/610.\nAnswer: 7840330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158)\/12561)\/(14\/(-6) + 2)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Suppose 0 = 3*y - p - 9. What is the second derivative of -b + b**4 - b + 3*b - y*b wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q + 31. Let o be (-42)\/(-63)*6\/(-1). Let k be c(o). Let g be 56\/10*k\/38. Solve 6 = 4*h + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7*g - 24. What is the greatest common divisor of g and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002554098 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*7\/49 - 0. Suppose -8*n + 811 + 77 = w. List the prime factors of n.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*y + 2*y. Suppose y*b + 17 = -5*r - 6, b + 5 = -r. Is b > -15\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30650 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzcczzz. Give prob of picking 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7.05 (b) 0.5 (c) -0.9 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 24076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2360*k - 22*k**2 - 17 - 4*k**2 - 17*k**2 + 17.\nAnswer: -43*k**2 - 2360*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.593 and -0.007.\nAnswer: 10.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/((-16)\/(1920\/12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100490951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, -1, -0.4, -133?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v + 7. Let n(h) = -h**2 - 40*h - 21. Let j(r) = 7*c(r) + 2*n(r). Let i be j(6). Sort i, -1, 0 in decreasing order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -29, 0, -5, -14, -84 in increasing order.\nAnswer: -84, -29, -14, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 36*h. Let g be r(1). Let p be (1 - 0)*-3 + g. Let s = p + -20. 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 327537 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 647.6067 grams?\nAnswer: 0.0006476067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/580 and 49\/50?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112331 - -2022?\nAnswer: -110304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -50.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u - 15. Suppose -u*p = -4*p. Suppose 0 = -6*l + 2*l, -4*f + 4*l + 1228 = p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-10) + (-8)\/10. Factor 2\/5*u - s*u**3 + 0*u**2 + 0.\nAnswer: -2*u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10)*1565\/(-4)*-12. Let g = 3285 - j. Suppose g = 5*y + 152. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 4. Let q be i(2). Let x = 31 - 22. Suppose 6 = 5*b + 2*n, -x = -5*b + n - q*n. Solve -5 + b = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -765\/7*d - 3\/7*d**3 + 99\/7*d**2 - 867\/7.\nAnswer: -3*(d - 17)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19526391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 53180 (base 12) to base 4\nAnswer: 122220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.51 in -2\/65, -3, 524?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v - 215. What is the remainder when v is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/(-564))\/(54\/24)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 9\/2 (c) 0.9 (d) -3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 + 2 = 2*h, 0 = -5*h + 20. What is the third derivative of 5*b**2 - 2*b**p + 18 - 18 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 7*o - 17 + 3*o.\nAnswer: -4*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194*f**3 + 111*f**3 - 56*f**3)*((-1 - 5 + 4)*(-5 + 3 + 0) - 4 + 3 + 2).\nAnswer: -695*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - 90\/(-20). Suppose -n + 164 = -0*n - 3*a, c*n - 5*a - 628 = 0. Suppose -154 = -3*j + n. What is the remainder when j is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*g**2 + 163924*d**2 - 6*d*g**2 + 52*g**2 + 1217 wrt d.\nAnswer: -18*d*g**2 + 327848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 976. Give j(-31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5168950.5 and 10610.\nAnswer: -5158340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7720\/16 - (3 + (2 - 4)). Let n = o + -477. Determine j, given that 0 + 3*j**4 + 3\/2*j**5 + n*j - 3*j**2 - 6*j**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*b**3 - 113896*b**2 + 16797561*b + 12.\nAnswer: -1242*b - 227792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151734330 by 561979.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 6*z + 10. Let c be y(4). Let j(w) = -6*w**2 + w**2 + w**c. Let r(b) = -6*b. Calculate j(r(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10559*n**4 - 137*n**2 + 12*n?\nAnswer: 253416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3395233340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*-25\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -64\/3*o**2 + 0 + 8\/3*o - 2*o**3 - 16\/3*o**5 + 50\/3*o**4 = 0?\nAnswer: -1, 0, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (1 + sqrt(2736) + 3)) + sqrt(2736))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-3 - 189\/(-60)). Suppose 0 = 4*o - a + z, -5*a + 6 + 14 = 0. Let j(h) be the third derivative of h**4\/24 - h**3\/6 - 3*h**2. What is j(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3\/(3*2)). Suppose -z*b - 2 = -b. Let o(v) = 2*v + 3. Give o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 9*f + 4*f - 2 = 0, -4*r = -4*f - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) -30\/13 (d) -1\/6 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5199 + 5151 = -12*z, x + 5*z = 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/(sqrt(8) + sqrt(32)\/sqrt(4)) - sqrt(76)\/(sqrt(2)*-5 - sqrt(2)))\/(((sqrt(2) + sqrt(4)\/sqrt(2))*-1 - sqrt(200))*-2).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 13. Let y be h(-10). Calculate the remainder when ((-4)\/8 + y)\/(2\/(-124)) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959898 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, w: 9}. Give prob of sequence wffw.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 5*i - 3. Let s = 195 + -201. What is t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 19*c = 156. Solve -2*w + h - c = 3*h, -w + 2*h - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(-2*1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*v + 1146, 16*v + 4564 = 4*h + 12*v. Does 71 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -833*a**5\/3 + 3549*a**4 + 119086*a**3\/3 + 8068*a**2 - 14312*a\/3 - 1120 = 0. Calculate a.\nAnswer: -7, -2\/7, 6\/17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 18*l = 136*l - 1128. Solve -17 = 2*r - 5*t, -4*r - t = 3*t - l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1200377 + 827377. What is h rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2515064268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(9\/(-174))*(-15)\/(9*60\/54)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -44)*1\/(-2). Suppose -z = -q + 1 - 13, 2*q + z + k = 0. Which is greater: -29\/3 or q?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(16 + -15) + 3. Suppose -3*x = w*h - 7 - 5, 2*x - 3*h = -2. What is the highest common factor of 46 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 75*f**2. Let y(k) = 18*k. Calculate y(m(a)).\nAnswer: 1350*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*n - 195*n - 55*n - 35*n + (-2 + 2 - 1)*(2*n + 0 + 0).\nAnswer: -312*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:08 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 615473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246781 is divided by 385.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-95)\/(-10))\/((-1 + 3)\/8) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 15 = 2*n, 5*n - 47 = -4*h. Solve -1 = 6*m - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15*y - 21. List the prime factors of i(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 13858 - 13858.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, a: 1}. What is prob of sequence vva?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1018, 1017, 1006, 979, 930, 853, 742?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -524*f + 10108. Calculate z(19).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*r + 61*r + 0*r**2 + 48*r**2.\nAnswer: 48*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p - 5*p - 3*p)*(-3*p**4 - 6*p**2 + 6*p**2) + (0 + 0 - 2*p**3)*(-p**2 - p**2 + 0*p**2) + 0*p**5 - 2*p**5 + 4*p**5.\nAnswer: 60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-one fifths of a decade?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 5057104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -10*a**3\/17 - 4322*a**2\/17 + 29930*a\/17 + 34242\/17 = 0.\nAnswer: -439, -1, 39\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 509, 2325, 5443, 9857, 15561?\n\"Answer: -i**3 + 657*i**2 - 148*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452488540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -1 + 748\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhljht. What is prob of sequence lthj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1683\/231 + (10 - 7)*14\/(-6). Let z = 51 - 51. Which is the closest to z? (a) 4 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-29 - 109)\/(4\/(-898))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 30*d)*((2 - 4 + 1)*(-5 + 2 + 5) + 1 + 1 + 0 + 3 - 4 - 2)*(d**2 + 39*d**2 - 8*d**2) as j + s*d**2 + r*d + l*d**3 and give l.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395645 is divided by 448?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1053 + 1060. Solve v*r - 120 = -85 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 35*j + 265. What are the prime factors of z(7)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -0.3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 286, 430, 574, 718, 862?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from dmdddddd.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -614016 (base 8) in base 10?\nAnswer: -202766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 74*f**2 - 1647*f - 12. Is 19 a factor of r(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 193753?\nAnswer: -193749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 5\/2 (c) 0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 368.8983 litres?\nAnswer: 368898.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 27*a + 27. Let k(r) = 176*r + 176. Let h(n) = 32*g(n) - 5*k(n). Does 26 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42e22 (base 15) to base 14\nAnswer: 575ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 2*p**4 + 0*p**4)*(0 + 1 + 5)*(3 + 2*p - 3).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -160.2. Let a = 7.13 - 7. Let d = a + 0.27. Put n, d, -2.4 in ascending order.\nAnswer: -2.4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/(-3))\/((26\/(-585))\/(-2)). Solve -327*a = -z*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53565355*d**2*o**2 - d - 1828310*o**2 wrt d.\nAnswer: -107130710*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -21346 in decreasing order.\nAnswer: 6, -4, -21346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -t - 11*g - 8, 25 = 4*t - 3*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*o - 58*o = -2172 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 5, 3.8083 in ascending order.\nAnswer: -1\/13, 3.8083, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 79*z + 1728485 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39039.\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 = -2*l + 5*a + 997, -5*l - 20 = -5*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(5*t - 3*t - 12*t)*((t + t + 0*t)*(-64*t**2 - 45*t**2 + 95*t**2) - t + t + 2*t**3 + (-1 + 2 + 1)*(-t**3 + 2*t**3 - 3*t**3) - 1 - t**3 + 1).\nAnswer: 620*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 - 72. Let x be k\/14 + 4\/14. Let n = -27 + 24. Put 5, x, n in descending order.\nAnswer: 5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.052387 from 0.1.\nAnswer: 0.152387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/6760*26)\/(1\/(-20))*(-8)\/(-74)\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 10. Let p be t(0). Let x = -8 - p. Suppose 0 = x*q + 4*d - 18, -4*q - 3*d + 19 = -12. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 28*c + 1056. Let l(b) = -346*b - 199. Is l(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*y + 16*y - 5*y**2 + (2 - 2 + 2*y)*(y - 5*y + y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + 301\/14. Is 20 a factor of 12\/66 - (-1140)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 2, m: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 367*n**3 - n**2 + n - 1. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232131 + -111?\nAnswer: 232020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/7 - 544*d**3\/7 - 89730*d**2\/7 - 2946488*d\/7 + 3036760\/7 = 0?\nAnswer: -62, 1, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3*f - 2*f**3 - 10\/3*f**4 + 0 + 10\/3*f**2 - 2\/3*f**5 = 0. What is f?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 10:56 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -4362?\nAnswer: 436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 times 266?\nAnswer: 122.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -18000.\nAnswer: 1\/9000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:43 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52905 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v. Let q(w) = -15*w. Let c be 4*1\/(-2) - -10. Suppose -u - 3*u = -c. Let z(h) = u*q(h) - 7*f(h). Let j(n) = 2*n. What is z(j(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -28. Differentiate 10 + q + r*q - 12*q wrt q.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 + 3*d - 5. Suppose -5*a + 105 = 5*k, -27 = -k + 5*a - 0. Calculate the remainder when w(-6) is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 37*p - 30. Let b be a(10). Suppose -3*l - 749 = d, -2*l - 162 = -2*d + b. Let y = -122 - l. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (174\/30 - 6) + 42\/10. Suppose -3*g = -z*g - 4. Is -3 - g\/8*-2 - -14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 210848.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2 + 20\/5). Let v = 2 + 3. Which is the third smallest value? (a) -0.5 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 - 5 - (-6)\/(-2). Suppose 0 = t*q - 43 - 1. Let x(c) = 5*c**2 - 3*c + 3*c - q*c**2. Let w(b) = -b. What is w(x(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 + 2*w + 6. Is p(4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhff when four letters picked without replacement from fmmhffhmmffhm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751412 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 7. Let v(w) = -29 + 36 + 2*w - 2*w**2 + 13*w - 21. Let a be v(y). Solve a*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70693.\nAnswer: 7, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 5 - -2 - 1. Let f be 1 - ((-645)\/12 + (-2)\/g). Suppose -3*w - 5*z = -209, f = -0*w + w - 2*z. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 35 = -14. Let v(d) = -6*d**4 + 6*d**2. Let r(h) = -9*h**4 + 9*h**2. Let a(n) = u*v(n) + 5*r(n). What is the third derivative of a(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 8*w**2 - 11*w - 3. Let c(b) = 6*b**3 + 2*b**2 - 10*b - 9. Let d be c(-3). Let y = d - -132. Give j(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = 2, -c + 5*o = 18. Suppose 5*n - 2*q = 470, -c*n - 2*n - 5*q = -409. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i - 9*i - 19*i + 52*i - 8*i. Let d(q) = 135*q**2. Calculate d(k(p)).\nAnswer: 6615*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16920 divided by 3.\nAnswer: 5640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -57*s**2 - 19*s - 46. Let k(b) = 114*b**2 + 38*b + 93. Let o(x) = 9*c(x) + 4*k(x). Let l be o(-18). Let n = -7232 + l. Round n to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y + 63*y = -74*y - 6960 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 5*t**3 + 2*t**3)*(-56*t - 40*t + 53*t)*(2 - 2 + 2*t).\nAnswer: 172*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14961, 59775, 134439, 238953, 373317, 537531?\nAnswer: 731595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 7*n - 264. Give l(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 5*b + 7. Let n be i(-7). Let o(w) = -4*w - 4. What is the remainder when o(n) is divided by 2\/(-6) + (-40)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) - (-24)\/(-35). Let n = -0.17 + 0.1. Let s = -0.37 - n. What is the closest to y in s, -2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 + -5. Which is the closest to -1? (a) 3 (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b + 56. Let f be z(-7). Suppose f = -i - 220 + 975. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 31*y. Let l = 51 + -49. Suppose 0 = v - l*v + 235. Let d(b) = 235 - b - v. Give s(d(g)).\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8394 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 6, -2, -7 in decreasing order.\nAnswer: 6, 5, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*t*w**3 + 4*t*w**2 + 106987260*t - 124123*w**3 wrt w?\nAnswer: -702*t - 744738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002410714476 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 141. Let d be h(23). Let g be (8\/d)\/((-3)\/(-30)). Let j(m) = -7*m**2 - 4*m - 4. Let t(q) = -14*q**2 - 7*q - 7. Give g*t(s) - 7*j(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/14 and -1\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 505?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)*z**(-1\/5)*z)\/((z*z**5)\/(z**(-1\/4)\/z))*(z**(-1))**6\/(z**(-2\/7)\/z)**(-12) assuming z is positive.\nAnswer: z**(-4463\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2 + -229b?\nAnswer: -21e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 55*k**2 + 46*k - 30. What is c(6)?\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149983 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1210 - 258*f**2 - 1210 to the form l + j*f**2 + b*f and give j.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5 = j, 4*j = 6*g + 4*j + 2*j + 118 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70935 + -528?\nAnswer: 70407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -4a0269?\nAnswer: 4a0262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) -1\/15 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1584*x**5 + 19776*x**4 - 10468*x**3 + 1812*x**2 - 104*x = 0.\nAnswer: -13, 0, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/6 - (4396\/(-126) - -15). Solve 8\/9*q**2 + 0 + 8\/3*q - s*q**4 - 98\/3*q**3 = 0 for q.\nAnswer: -3, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -542 - -530.95. Let k = d - -11. Let h = 7441\/8 + -930. Does k = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 + 5*a - 3. Let p = 0 + 4. Let c be q(p). Suppose -15200005 = n + 5*f, 5*f + c + 4 = 0. What is n rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246\/7 = 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:00 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1105513?\nAnswer: -1105511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-16)*(-8)\/(-6)*-2 - -5. Let x(p) be the first derivative of 0*p**2 + 0*p - 15\/4*p**4 - 19\/3*p**3 - h. What is the third derivative of x(g) wrt g?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r + 20. Is m(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Suppose 3*s - 61 = j - 15, j = -4*s + 66. Let d be 36\/s - 2\/1. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = 0, -p + 4*t = 3*p - 24. Which is the second biggest value? (a) 0 (b) p (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*n**3*p + 23*n**3*x**2 + 4*n**2*x**2 - 2765*n*x**3 - 36*p*x**3 - 969*p*x**2 + x**2 with respect to p.\nAnswer: -25*n**3 - 36*x**3 - 969*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -955 and -5107.\nAnswer: -6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 104\/12) + (-36)\/(-54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10449 + -10438. Which is the closest to -87? (a) -0.2 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 2*a**2 - 4. Let h be g(3). Suppose 5*w = 5*o + 35, 0 = -w - h*o + 1. Let c(n) = n**3 - 5*n**2 - 7*n + 8. What is the units digit of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 300*y + 882 = 0. Calculate y.\nAnswer: 3, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2)*0 + 10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12465700 divided by -2.\nAnswer: 6232850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:55 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 853605025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*f - 17 - 9, 5*x + 5*f = 90. Calculate the greatest common factor of 80 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/35 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/4 + 42643*v\/2 + 1818425449\/4 = 0?\nAnswer: -42643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*z - 5734, -2*z + 7*z - 7646 = -4*m. Let r = m + -1281. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r\/r**(2\/33))**9 assuming r is positive.\nAnswer: r**(984\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(-482 + 235 + 442).\nAnswer: 195*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 + 12*d - 432 = 0. What is d?\nAnswer: -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyjwj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 471*p**2 - 19815*p + 2195. What is r(-55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128381657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 2083*u**3 - 2049*u**3 + 4*u.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -383107, -383174, -383287, -383446?\n\"Answer: -23*v**2 + 2*v - 383086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4031525?\nAnswer: 5, 131, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 5. Let y be t(2). Which is the second biggest value? (a) -0.2 (b) y (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.29826 grams in kilograms?\nAnswer: 0.01329826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0, 11, -7, 1.\nAnswer: -7, -3, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16300673 and 19130.\nAnswer: 163006730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 46.\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 = -54. Suppose -7*c + 2*c = -s. Let b be c\/6*-2 - -2. Is -1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 162, 352, 618, 960?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = -128*y. Is 1\/7204 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w - 26. Let f = w - 12. Let i be 3 + f - (-49699986)\/7. 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: Work out 0.0428365 * -0.477.\nAnswer: -0.0204330105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 123*v - 120 = 0 for v.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -259.77395979 + -1205.6\nAnswer: -1465.37395979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2736))*6)**2.\nAnswer: 864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-6)\/(72\/15). Solve -l - 3*g = 11, -3*l + 25 = -6*l - p*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (99640\/(-900))\/(-53)*5\/(-452) and 17\/9?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1103 = 5*f, 69 = 3*f + 3*s - 591. Suppose -17*t + f + 289 = 0. Sort -1, -2, t in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/490 - (-32)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 3*r**2 + 11*r + 6 + 1\/3*r**3. Let p(x) = x + 5. Let n = -12 - -8. Determine n*p(m) + 3*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/(-9)*864\/(-192).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2008 + 10770?\nAnswer: 12778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 124863 = 125*a - 124*a, -11*a - 3*k = -1373341. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225546180 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 3\/5, 2\/133, -0.1, -31 in increasing order.\nAnswer: -31, -0.1, 2\/133, 3\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3679719?\nAnswer: 3, 151, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 35123?\nAnswer: -35132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22265554 and 32918.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 7, p: 1, c: 1, k: 5}. What is prob of sequence cch?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12609492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 minutes before 10:41 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/144 + -59\/144. Let h = -7 + 12. Which is the nearest to f? (a) h (b) -3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0 + (-408)\/120. Let s = -20 + 59\/3. Sort l, 2, s in increasing order.\nAnswer: l, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11952, 94765, 319354, 756609, 1477420?\nAnswer: 2552677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**2 + 1845448 - 56*u**2 + 110*u**2 + 185*u**2 - 1845448.\nAnswer: 206*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1506848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*o + 67*o = -2835 + 5606 + 9629 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11966 + 11963. What is the third smallest value in k, -9, -0.3, 0.12, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/3325025 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12683054?\nAnswer: 2, 17, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 5, -4, 7, -4\/5, -2\/5, 194 in ascending order.\nAnswer: -4, -4\/5, -2\/5, 5, 7, 32, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/56)\/(270\/(-940)) + -12*(-6)\/(-96)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42772*t**3 - 18314*t**2.\nAnswer: -256632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2849297172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 12191?\nAnswer: -3\/12191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 3, v: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 25, -4*i - 4*f = -28. Suppose -o = -i*o + 3. What is the units digit of (-20)\/6*o\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/(24\/(-60)). Solve -y + 5*s + 15 = 4*y, w*y + s = 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 7. Let k be r(7). Suppose 2*t + k = 4. What is the derivative of 0 + 0*i**3 + t + i**3 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - p. Calculate f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 + z - 4000. Let m be k(0). Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 - 8) + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from rrwrrrrrrwrwrrrrrw.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.002 (b) -6578 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c**3 - 99*c**3 + 54*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160389492 or -160389488?\nAnswer: -160389492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -4 + 3 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 1\/63*u**5 - 43*u**2 + 8\/21*u**3 + 1\/9*u**4 + 1\/1260*u**6 + 0. Suppose s(w) = 0. Calculate w.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 5*c + 2. Let p be h(4). Let q(v) = -v - 2. Let j be q(-6). Is j > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g**2 + 12. Let i(c) = -47*c**2 + c + 45. Let d(s) = -6*i(s) + 22*t(s). Let z(b) = -18*b**2 + 5*b + 5. Calculate -5*d(m) - 6*z(m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**2 + 48*b**2 + 11*b**2 + 55*b**2.\nAnswer: 151*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2797?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17996, 18117, 18434, 19043, 20040, 21521, 23582?\nAnswer: 26319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 178506?\nAnswer: -178503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 2. Let n(o) = -3*o - 3. Let t be (4\/(-12))\/((-1)\/9). Let i(g) = t*n(g) + 4*v(g). Let k be 4 + 5\/((-10)\/6). What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(43 - 44)\/((-1)\/(-19)). Suppose -5*j = 4*k - 61, -2*k + 28 = -0*j + 2*j. What is the remainder when h - ((k\/3 - 3) + -4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -6. Suppose 2*a + 2 = -3*n, -z*n + a + 8 = -0*n. Solve 0*f = -n*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11be5 + -13db?\nAnswer: -12fc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9862774 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: Suppose b + 6*p - 5*p + 54 = 0, 5*b + 2*p + 261 = 0. Calculate the common denominator of b\/16 + -5 + (8 - 3) and -21\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from plu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6664275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*5*(-132)\/330.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3270 + -3240. Calculate the highest common factor of 1590 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 0.195.\nAnswer: -10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.0588 to 1 dp.\nAnswer: -42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w**(-4)*w*w)\/(w**(-2\/13)*w*w\/(w**(-7\/3)*w*w)) assuming w is positive.\nAnswer: w**(-776\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*u = 372, -p - 4*u + 38 = -42. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b + 14. Let m(f) = -1. Let l(u) = -k(u) + 6*m(u). Let r be l(-9). Suppose 29*y + 460 = r*y. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 1:25 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230)\/92*18\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-38) + (9 - 9737\/988)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2077 - -12559\/6. Calculate the common denominator of -61\/72 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + x + 3, 2*j = 2*x + 2 - 4. Solve -2*p - 7 = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 5. Let q be d(-7). Suppose -q*s - 6 = -2*x, s + 6 = x + x. Suppose -17*c + 22*c - 2935 = s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -181 - 132?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((5 - 4) + -3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/63 + 2*o**6\/45 - o**4\/9 - o**3\/9 + 12*o. Factor x(f).\nAnswer: 2*f*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -851*o*v**3 - 4356*o*v**2 + 274416*o*v - 3*o + 6*v**3 - 79*v wrt v.\nAnswer: -5106*o*v - 8712*o + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/2 - -9. Which is bigger: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241250 is divided by 136.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*c - 7*c. Let i = c + 27. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55, 0.3, -37\/3, -2\/109 in decreasing order.\nAnswer: 0.3, 2\/55, -2\/109, -37\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 71*p = 16*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 24 + (3 - 2 - (-12 + 16)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 42. Suppose -5*s + 14260 = f*g, 5*g - 2*s - 14290 = -s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1604 divided by 4.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -9\/2 in decreasing order.\nAnswer: 13, -2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2501 - -3265. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120001101122200 (base 3) in base 4?\nAnswer: 132200321121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (-2 + 7) - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/10*8*150\/(-1560)*91\/(-28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -38 - (6 + -3 - (-2 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, 0.5, 0.2, 38.5 in ascending order.\nAnswer: -2, 0.2, 2\/5, 0.5, 38.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3364*o = -32869 - 27683 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose -x + 22 = -3*j, r*x - 6*j - 109 = -j. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + 42*w**2 - 106*w + 3290. What is r(22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 1747, 3765, 6561, 10135, 14487?\nAnswer: 19617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = 14*j + 211. Let d = 46 - j. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 437020 = 5*o, 2*o - 174796 = -0*o + 5*g. Let j = o + 137592. Suppose -4*f - f = j. Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 17. Let g = 76 + -79. Let b = l - g. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94659230*s**2*v**4 - 108641756*s**2*v wrt v?\nAnswer: 1135910760*s**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2\/((-8)\/(-12)). Let a(f) = 3*f + 2. Let o(g) = 3*g + 1. Let b(q) = l*o(q) - 2*a(q). Let y = 616 - 614. What is b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 16624.\nAnswer: 16624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -193708.\nAnswer: -1\/48427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*d = -3*d - 4, 4*d + 17 = 5*x. Let y be (18\/21)\/((-1)\/(-14)). Suppose y - 37 = -x*p. Sort 0, p, -5 in increasing order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 - 9*l + 132. Let c(b) = 9*b. Give c(m(r)).\nAnswer: -9*r - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, o: 3, z: 4}. Give prob of picking 2 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -49 + 52, -4*s = b - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83952 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 1\/1995*s**7 + 3\/95*s**5 - 3*s**2 - 5\/57*s**4 - 7\/1140*s**6 + 0*s + 0 + 8\/57*s**3. Solve f(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 977 and 8.\nAnswer: 7816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + 4.5. Which is the nearest to 2? (a) w (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 1, i: 1, s: 1, z: 1, d: 2}. What is prob of sequence sz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054992 and 1229406?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/13, -202, 22, 1\/6 in ascending order.\nAnswer: -202, -2\/13, 1\/6, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 2 + (44 - 1) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4 + sqrt(704))*-1)**2.\nAnswer: -112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 c when three letters picked without replacement from pfpcyycybfyybyyfcyb?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1736 and 6048.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 3*w**3 + 0*w**3 - 3*w**3 + w**3 + w**3 + (-3*w**2 + 3*w**2 - w**3)*(2 + 1 - 2) + 0*w + 0*w - w**3 + (-w**2 + 2*w**3 + w**2)*(-3 + 5 + 2).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10*y = 8, -4*v = 3*y - 1082. What are the prime factors of v?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36312 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 + 52*i + 3. Let l(u) = -3*u**2 + 52*u + 2. Calculate -4*l(f) + 3*v(f).\nAnswer: -3*f**3 - 52*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/2 + 1 + -1. Suppose -3*n + v*n = 0. Let o = 10 - 4. Solve n*h + 3*h + o = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.002 (b) 0.36 (c) 0 (d) 1\/2 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27529, -1\/5, 11, 0.3.\nAnswer: -0.27529, -1\/5, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2*q**3 - 3*q**3 + 1997 - 2002 + 2*q**2 + 3*q**3 + q**3. Give c(-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**6\/w*w*w))\/(w*w**(2\/9)))**(-1\/3) assuming w is positive.\nAnswer: w**(65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + 4.9. Which is the closest to -2\/9? (a) q (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699932 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i + 0*i)*(-6*i - 8*i + 2*i).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 3*p**2 - 4*p + 3. Let x(t) = t**3 - 6*t**2 + 21*t - 199. Let g be x(7). Let m(d) = -2*d**2 + 3*d - 2. Give g*m(z) - 2*y(z).\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -5*d**3\/3 + 2*d**2 + 11*d + 159. Let c(o) = -7*o + 3. Give -7*c(u) + 5*x(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from xfxfxxxxxxxxfgxgfff.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 10. Let a(k) = k**2 + 2*k. Let h be a(-3). Suppose -5*d + 68 - 63 = 0. Put h, d, q in decreasing order.\nAnswer: h, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6630.5 from 6.\nAnswer: -6624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14302349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*t - 54, a + t - 55 = -3*a. Suppose a*c = 8*c + 10. What is the second derivative of c*y - 298*y**2 + 7*y + 9*y**3 + 298*y**2 wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -829*y**3 - 597*y**2 - 6*y - 4. Let s(b) = -1658*b**3 - 1194*b**2 - 15*b - 10. Let l(q) = 5*r(q) - 2*s(q). Find the third derivative of l(x) wrt x.\nAnswer: -4974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118)\/(-14) + -1*(-9)\/(-21). Suppose 0*x + o = -2*x, -q + x = -7. What is the derivative of 104*b**3 - 21 + 105*b**q - 219*b**3 wrt b?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 208\/7, -0.09, 27\/4 in descending order.\nAnswer: 208\/7, 27\/4, -0.09, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1904671147 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 21*c**2 - 11 - 3\/5*c**5 + 0*c**4 + c + 0*c**3. What is the derivative of d(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*x + 7 = 0, 0 = -5*j + 4*x + 46 - 49 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1952 - 1936. What is the highest common divisor of 7 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anjqa. Give prob of picking 1 q and 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.9120293 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1787*f**2 - 25*f - 23. What is the hundreds digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:07 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 4 + 64 + -94 + (-2 + 7 - -7).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/3 - (-4)\/12. Let i be q\/9 - (-20)\/15. Solve 0 = -i*l - 5 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3060 = 9*x. Let p = 21 + -14. Suppose -p*b - x = -12*b. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106835241179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22 + 2\/(-11))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/170 and 27\/23?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 8 + -9 + -6 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2 + 7*b**2 - 32 + 39 + 10*b**2 wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19.3? (a) 2\/5 (b) 17 (c) 303 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*d + 8, -4*o = -2*d + 8 - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 62, 93, 124, 155, 186?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*a + 34, 4*t + 3*a = 3*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from pffpfffeefpfpkfkfff.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w. Let z(f) = f**2 - 3*f - 23252. Calculate z(n(d)).\nAnswer: 324*d**2 + 54*d - 23252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1632 and 288.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0899 - -3.0899. Which is the nearest to 11? (a) -3\/5 (b) 1 (c) r (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1155.64 + -982. Let g = -0.36 - o. Let z = -174.109 - g. What is z rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*r**2 + 459*r**2 - 30*r**3.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 1, r: 8, l: 4}. What is prob of picking 2 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = 12274 - 12094 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 18.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 12. Let o be y(-7). Let p = o - -7. Solve -3*h - 2 = p*l, -2*l = 6*h - 4*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3392 and 47264.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1998775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 229908155 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 >= 2988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5 (c) 4 (d) 1116 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 2*i**2 + 2*i**2. Let q = 5840 + -5837. Let y(v) = v**3. Give q*y(z) - c(z).\nAnswer: 3*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 16 = -104. Is 10 a factor of ((-100)\/d - 0)\/((-122)\/(-915))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = 27*x. Suppose 119*z - 124*z + 3830 = x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1693568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (17 + -40) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215504*a*j**3 + 3*a*j**2 + 44*a*j - 2*a + 35*j**4 + j**2 + 1317*j wrt j.\nAnswer: 1293024*a + 840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmssssmsaassss. What is prob of sequence ssm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 1. Let l be m(-8). Let k(b) = -20*b**3 - 12*b**2 - 3*b + 8. Let n(f) = -7*f**3 - 4*f**2 - f + 3. Let x(j) = l*n(j) - 6*k(j). What is x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 7 + 8. Let p(m) = -5*m + 6*m - m - 4 - m. Let c be p(q). Sort -8, c, -4 in descending order.\nAnswer: c, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*-3 + sqrt(22))*-2)\/((sqrt(704) + (sqrt(704) - 1*sqrt(704) - sqrt(704)) - sqrt(704))*-5).\nAnswer: 11*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sblbbhlllbh. Give prob of picking 1 l and 1 b.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(156)*4 - sqrt(156)) + sqrt(156))\/((sqrt(84) - (sqrt(84)*2 - sqrt(84)))\/sqrt(7) + sqrt(12)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.002 - 0.498. What is the second biggest value in 3, -2, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from lllldldaddaljfllaal.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/333 + 8671\/13320. Calculate the common denominator of -83\/80 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 b when three letters picked without replacement from {g: 5, l: 2, b: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose -t*v + 152 - 56 = 0. Suppose -5*d + v = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-376)\/(-141)*1\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1111*w - 1118*w. Suppose w = 9*b + 3*b - 60. Solve 0 = b*t + 5*y - 5, 12 = -5*t + 2*y - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + h + 4*h + (-5 + 1 + 0)*(h - 2*h - h) - 1 + 2*h + 1.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -334 and -2\/33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292236504*b**4*u**3 + 214*b*u**3 - 5549*b*u - 5*u**3 wrt b?\nAnswer: -3506838048*b**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, -1\/39, 2.\nAnswer: -3\/2, -1, -1\/39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 36 = 3*w, 4*w + 19 = 4*v - 13. Let b = v + -5. Calculate the lowest common multiple of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 + 246. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4009 and 146645?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-22) + (3 - (-212)\/44). Let r = p - 6. Suppose -3*y - o = -24 + 10, -2*o - 12 = -r*y. Solve -k + 0*c - 3 = c, -5*k + 5 = -y*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967.3 - 968. What is the closest to -1\/2 in m, 1\/27, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3 - 3 + 0*n**2 - n**2 - 6*n. Let r be c(-5). Let d = r - -5. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.86 + -14.56. Let m = x + 13. Let f = 0.8 + 4.2. Put 1, m, f in increasing order.\nAnswer: m, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 7*y**2 + 11*y**3 - 55*y + 52*y as l*y**2 + z + f*y**3 + i*y and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -42*s + 12. Let b be n(2). Find the common denominator of 6\/(-2) - 480\/b and -28\/31.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5376 times -0.763?\nAnswer: 4101.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2422*h = 2437*h - 150 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*z - 939*z - 89*z)*(-2 - z + 2) + 4*z + z**2 - 4*z + (2*z - 5*z + 4*z)*(-4*z - z + 6*z).\nAnswer: 906*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0530271 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 634, 1099, 1732, 2533, 3502?\nAnswer: 4639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 62 + 0*s + 116 - 4*s**3 + 2*s**3 to w*s**2 + n + h*s + b*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 26608 = -4*a + 5596, -3*a - 2*l + 24188 = 0. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2. What is the tens digit of o + (3 - 4 - -80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*(12\/4)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 31365*k**2 - 65584215*k - 45712197855.\nAnswer: -5*(k + 2091)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745095449 a multiple of 7853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*o + 270*o - 151*o = 44*o - 18560 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 830 = 5*y - 8*y, -530 = -2*y - 2*t. Suppose -5*i - 67*x + 68*x + 269 = 0, -2*i - 2*x = -110. What is the highest common divisor of i and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 4, 0.48, 159, 2\/5 in increasing order.\nAnswer: 2\/5, 0.48, 0.7, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 4 + 5 + 0 - 3 + (-2 + 3 - 2)*(-2 + 1 + 3))*(-2*c**4 - 4*c**4 + 3*c**4) as q*c + j + v*c**2 + d*c**3 + o*c**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141322.\nAnswer: 2, 7, 13, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - (5 + (-12 - -3)). Solve -11*k + 8 = -u*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4544 divided by 4.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1\/2, 7, -2\/43, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 231*u**5 + 136*u**5 + 110*u**5 + 532*u**5 - 5*u**5 - 2*u**5 + 6*u**5 + (-5*u**3 + u**3 + 3*u**3)*(-u**2 + 0*u**2 + 3*u**2) - 3 + 3 + 2*u**5.\nAnswer: 1008*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a micrometer in nanometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22899 + -6750. What are the prime factors of n?\nAnswer: 3, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 202534.1\nAnswer: -6076.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -285 in -2, -0.1, 0.0476, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxltk. What is prob of picking 1 l and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (66\/(-8))\/(30\/(-80)). Let c(g) = -g**2 + 3*g - 2. Let z be c(6). Let l = z + 31. Calculate the greatest common divisor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4514 + -49707\/11. Let s be (-10)\/(-2)*(-3)\/((-135)\/2). Let n = 5\/18 + s. Find the common denominator of j and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n\/(n**(4\/9)*n)*((n**(-4)\/n)\/n)\/n**(-3\/2))\/((n\/(n*n**(-8))*n)\/((n\/(n\/(n*n**(-2\/7)))*n)\/n*n)*n**(-8)*n*n**(-9)*n) assuming n is positive.\nAnswer: n**(-533\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45131 divided by 18434?\nAnswer: -45131\/18434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*z - 278 + 5072 = -618 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76577564 or 0.01?\nAnswer: 76577564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14625, -29260, -43917, -58602, -73321?\n\"Answer: -d**3 - 5*d**2 - 14613*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -26. Suppose 0 = 4*o + 4*v - 272, h*v + 7 + 1 = 0. Suppose -o = -f - 4*f. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0834319 to 3 decimal places.\nAnswer: 2.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1495 - 1492. Which is the biggest value? (a) n (b) -0.09 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 157. Let v = -14 + x. Let o = 45 - 29. What is the least common multiple of o and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250877 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -26. Suppose 12*u - 7*u = y. Find f, given that -4\/3*f**u - 2*f**4 + 0 + 10\/3*f**3 + 0*f = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697597828 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 387282509*u*z + 404909880*z wrt u.\nAnswer: 387282509*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 4, e: 4, u: 2}. Give prob of picking 1 l and 1 e.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76329961 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.2 and -0.7526840971444.\nAnswer: 12.4473159028556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (7 - (28 - 4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*a + 10, 714*a - 710*a + 5*o + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 14*i**2 - 4*i - 6. Let h be (-4)\/5*(-245)\/(-14). What is the remainder when r(h) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 56 = -12*c. Sort -5, c, -4 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.036 * 65.9753.\nAnswer: 2.3751108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - ((-20)\/(-15)*-3 + -6). What is the third derivative of 1455*h**x + 29*h**2 + 5*h**2 + 35*h**2 - 1533*h**6 wrt h?\nAnswer: -9360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7*1 + (-960)\/420. Let x be 196\/28*o*(-4)\/14. Solve -6*v + 2*s - x = -2*v, 4*s - 8 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 22*q + 13*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 13*t = 0. Solve 2*c + c - 15 = t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00249392978 rounded to six dps?\nAnswer: -0.002494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150133 + 254?\nAnswer: 150420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*t**4 - 10005*t**5 + 1362*t**2 + 30*t**4 + 16*t**4 + 366*t**2 wrt t.\nAnswer: -600300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4050 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 + 23.3. Let t = 18 - q. Sort 6, t, 0.3 in increasing order.\nAnswer: t, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 14*j**2\/3 - 28*j\/3 + 16\/3.\nAnswer: -2*(j - 4)*(j - 2)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 214.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - c + c + 2*c**2 - c**2 - 4*c**2 + (0 + 2 - 1)*(4*c**2 - 5*c**2 - 8*c**2) - 57*c + c**2 + 57*c in the form m*c + o*c**2 + v and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*r**4 - 21*r**4 + 21*r**4 - r**4 + r**4 + r**4 + 3*r + r**4 - 3*r + (3*r - 5*r + 0*r)*(-5*r**3 + 4*r**3 + 3*r**3) + 2*r - r**4 - 2*r.\nAnswer: -47*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6 + 3 + 1 - 3 - 1 + 1 - 2 - 2 + 4 + 0 + (3 - 1 + 0)*(0 - 4 + 3) + 4 - 1 - 4)*(-7*c + 3*c + 0*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/15*5\/((-4025)\/23).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3 + (2*sqrt(192))**2)*6.\nAnswer: 48*sqrt(3) + 4590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*i - 115 = -2*q, 5*q = -4*i + 575. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 11.32. Let k = s - 10.48. Round k to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)\/(3\/(-2)). Let b(u) be the third derivative of -u**5\/30 + u**4\/12 + u**3\/3 - 20*u**2. What is b(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Suppose 90 = s*n - 2*q, q = n - 3*q. List the prime factors of (18 - 15) + 6*n.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2445159 and 13\/5705371?\nAnswer: 17116113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4\/3 - 4*k**3\/3 + 704*k**2\/3 + 1280*k = 0.\nAnswer: -8, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - r + 22 = 0, 4*p + 30*r = 26*r - 20 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 23*h**2 + 22*h - 49. Give x(24).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2\/7*m**2 + 550\/7 - 4*m = 0.\nAnswer: -25, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0427 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {w: 1, i: 3, k: 6, a: 1, y: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 0)*(-a + 7*a - 2*a) to the form l*a + k and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 3*f)*(6 - 3 + 63 + 1 - 4 + 2 + (1 - 1 - 2)*(-2 + 3 + 0) - 4 + 5 + 1 + 2 - 2 + 2).\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0792 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 29 + 1. Let l be 2754\/30 + 2\/b. Suppose 0 = 2*h + 3*t - 40, h + 2*t - 29 = 5*t. Calculate the highest common factor of h and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 26. What are the prime factors of 24\/(3 + -3 + r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - -0.02. Let p = 3.89 + y. What is the closest to -2\/7 in -3, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k\/(((k**(2\/5)*k)\/k*k)\/k)))**(-5\/9)\/((k**4*k*k**4)\/(k**4\/(k\/(k\/(k*k**(-2)\/k))*k))) assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*i - 17 = 0, -32 = -3*r - 4*i + 4. Suppose 16 = r*u - 24. Suppose q + q = 0. Solve q*z = -z + u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(108) + (sqrt(108) - (3 + sqrt(108)) - sqrt(108))*2)**2 + -1 + 5 + (0 + sqrt(108))*-6).\nAnswer: 216*sqrt(3) + 876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 883198.4nm in centimeters?\nAnswer: 0.08831984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -68222*u. Let m(b) = 5*b. What is m(t(q))?\nAnswer: -341110*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.67 - 81. Let s = -20.24 + 20.34. Sort -0.3, h, s in descending order.\nAnswer: s, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p - 2145 = 15*p + 80*p + 9*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 + 24 = 0. Let g be ((-45)\/(-42))\/((-1)\/(-20)). Let k = s + g. Which is the nearest to 0.1? (a) 4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11878 divide 2450930276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434928*j**3*p*v**3 - 193*j**2*p*v**3 + 21*j**2*v + j*p*v**3 - j*p - 2*v wrt j.\nAnswer: -2609568*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/16, -1958007, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3 - 18*b**2 - 4*b + 96 = 0?\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12103*s - 12096*s - 56 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 1, u: 3, b: 3, d: 2, l: 6}. Give prob of sequence dd.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -2*d - 3*f, 2*d = 2*f + 12. Suppose 10*i - 15*i - a + 360 = 0, -i = -3*a - 72. Let m = i + -74. Sort m, d, 1 in descending order.\nAnswer: d, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 4. Let p be l(3). What is the first derivative of p*y + 5*y - 10 + 0*y wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3345*i**5 - 54*i**4 + 170*i**3 - 9*i**2 + 45802832?\nAnswer: 200700*i**2 - 1296*i + 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 - -2 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c)\/c*c*c**3*c*c)\/(c**4*c**0) assuming c is positive.\nAnswer: c**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/3*852\/(-36). Suppose -3*a = o + 78. Let v = -55 - a. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -3.08. Let n = q - 0. Let u = 0.6 + -0.2. What is the second biggest value in -4, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*u - 10 = 0, -4*m - 8*u + 13*u = 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 14) + 2 - (0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 6:22 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31274 by -823.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -26.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 51478 and 102955\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 7566152*q**2 - 105926716*q + 370744192.\nAnswer: 4*(q - 7)**2*(q + 1891552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62500 (base 12) in base 9?\nAnswer: 215350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/3, 4, -193?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 212\/(-636)*2\/(16\/9)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -3, -1866, 9 in decreasing order.\nAnswer: 70, 9, -3, -1866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 110.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 106. What is the remainder when p(0) is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 4*j - 9. Is v(9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 3. Let d(i) = 16*i + 10. Let r(g) = -3*d(g) + 10*u(g). Let f(b) be the third derivative of 5*b**2 + 0*b + 1\/12*b**4 + 0*b**3 + 0. Give f(r(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/29263 and 29\/19?\nAnswer: 555997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(114)\/sqrt(96) - (3 + sqrt(19))*1) + ((sqrt(285)*2)\/sqrt(5))\/((sqrt(3) - (sqrt(3) - (sqrt(3) - (sqrt(12) + sqrt(3)))))*-6).\nAnswer: -3 - sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 2524890 = 16*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*v - 56 - 12 = 0, -184 = -4*g + 2*v. Suppose 0*r + g = 3*p - 2*r, 0 = p - 5*r - 32. Calculate the remainder when 22 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148790 - -746972\/5. Let d = n + -604. Factor d + 1\/5*t**2 - 3\/5*t.\nAnswer: (t - 2)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6274, -13856, -21434, -29002, -36554, -44084?\nAnswer: -51586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*g = -3*w - 8, -12 = -3*w - 5*g. Put 83, 4, w, 2 in ascending order.\nAnswer: w, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1304320 by -9.\nAnswer: 1304320\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*p, 3*p + 3 = 2*p + 5*t. Let m = 0 - 6. Let k(y) = -3*y - 3. Let b be k(m). Solve p*c + b = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 246. Suppose -40 = 2*t - p. Calculate the greatest common divisor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 5. Let h = 44 - 31. Let z = n + h. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 3, -0.2, -32, 11, 2\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-1111)*((-71368)\/(-1232) - 58)?\nAnswer: -1\/202","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 59*u + 11. Let y be p(1). What is y rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 0.01, -63, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80817520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.2, -4746, 225, 0, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, h: 8}. Give prob of picking 4 w.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 1 - (-32 - -38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 36. Let u = p - 21. Let r = -0.2 + 0.6. Which is the third biggest value? (a) -1 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + 4 + 0 + 10\/(-15).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 + 0 = 2*a, 3*a = 3*u - 15. Let h(k) = k**2 + 11*k + 26. Let f be h(a). Solve 0 = 3*r - 4*q - 24, r + f - 3 = -3*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 4. Suppose 3*c + t*n + 0 - 2 = 0, -3*c + 3 = 3*n. What is the second derivative of l**2 - l**2 + c*l + l - 2*l**5 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34a - -d?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from sssssssnssssr?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:05 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ginzioi. What is prob of picking 1 n and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4120 - 3049 - 2510 - 4 + 5 - 2 + (0 - 1 + 2)*(-1 + 1 + 2))*(2 - 4 + 0)*(3 - 6 + 4)*(0 - x + 0) to the form i + n*x and give n.\nAnswer: -2876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.0455 years in months?\nAnswer: 5100.546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.05 + 0.05. Which is the closest to -0.2? (a) 0 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 298 - 294. Suppose o*t - 5856 = -2*k, -17*t + 7330 = -12*t + 5*k. List the prime factors of t.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029293 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, 30 in decreasing order.\nAnswer: 30, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.5 + 16. What is the nearest to 0.1 in x, -2\/13, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -16245?\nAnswer: 8\/5415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5390 and 45080.\nAnswer: 495880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f - 134 + 202*f**5 - 279*f**5 - 267*f**5 wrt f.\nAnswer: -6880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:56 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2219486 divided by -17\nAnswer: 130558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s - 46*s = -235*s + 37*s. Let h(b) be the third derivative of s*b + 0*b**3 + 1\/20*b**5 + 0 - 2*b**2 + 5\/4*b**4. Factor h(k).\nAnswer: 3*k*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 27\/44?\nAnswer: 27\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 18*q**2 + 2*q + 1. Calculate r(6).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 7*c - 5*a - 37, 2*c + 2*a + 7 = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -2 (b) -0.3 (c) 1\/2 (d) -1 (e) 311 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974495445?\nAnswer: 5, 409, 1454521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3334554, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = 2. Suppose 0 = 7*h - c*h - d - 10, -2 = -5*h - 4*d. List the prime factors of h - 3\/(6\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3 - 4 + 4*u**3 - 25*u**2 - 3*u**3 + 32*u**2 + 7*u. What is q(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 19098748 - 39747432. Let w = k + 43738813. Suppose n = -w + 2815723. What is n rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from dyyd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/18 - 4\/18. Let d(f) = -11*f**2 + f. Suppose -2*b + 5*b + 4*m = 0, 3*b + 9 = -m. Let q(v) = 12*v**2 - v. Let l(y) = b*q(y) - 5*d(y). Give l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 10 + (-17 - (20 - 11 - 7)) - -21?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18 - 16)*6\/4. Suppose -98 = -h*c - 5. Let g = -29 + c. Calculate the highest common divisor of 8 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89564 (base 13) in base 8?\nAnswer: 746544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/((-1)\/3). Let h = 5 - 5.3. What is the nearest to v in 0, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26220 (base 10) in base 14?\nAnswer: 97ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*u = -1189*u - 252 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 26*d = -8. Solve 6 = -d*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27229458.8812 - 27235004. Let b = w + 5659.36. Let g = -0.0412 + b. What is g rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10413, -10412, -10411, -10410, -10409, -10408?\n\"Answer: f - 10414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117477, -117501, -117525, -117549?\nAnswer: -117573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1393*u - 259*u - 362*u)*(2 + 1 - 4)*(4 - 4 + 3).\nAnswer: -2316*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 - 181.66. Let f = r + 1.897. Round f to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -67. Suppose 4*h - 3*h + 5 = f. Let a(c) = 1. Let k(m) = m + 1. Let u(w) = -6*a(w) - k(w). Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.453354 grams?\nAnswer: 453.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {z: 2, r: 1, q: 3, b: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3. Let g be r(0). Let u be 4 + g - (-2 - 1). Suppose 4*m + 12 = 2*h, 2*h - 18 + u = 2*m. Solve 0*f = -2*f + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210773 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 298*k**4 + 1455*k**3 + 3016*k**2 + 500*k - 768 = 0. What is k?\nAnswer: -64, -1, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 4*x + 2. Let g be h(-4). Suppose 3*f = j + g + 63, 0 = 5*f - 3*j - 115. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17898, 17894, 17904, 17934, 17990, 18078, 18204, 18374?\n\"Answer: y**3 + y**2 - 14*y + 17910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -983, -4, -5, 109?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 9. Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104296928 by -52148464.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by 3885?\nAnswer: -166\/3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110022 (base 3) in base 5?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/4)*m)**(-5)\/(m*m**(-1)*m**(4\/7))*((m**3)**(-2\/123))**(-1\/19) assuming m is positive.\nAnswer: m**(-203263\/21812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047376194 rounded to 4 decimal places?\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/1 - 1)\/(10\/210). Let x(z) = z**3 + 20*z**2 - 24*z - 10. Calculate the remainder when x(a) is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -15*o**6\/2 - 2*o**5\/5 + 9*o**3 - o**2 - 43. What is the third derivative of z(n) wrt n?\nAnswer: -2700*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**3 + 2*t**2 - 1. Let q = -2 + -4. Let u be (-918)\/119 + (-1)\/((-14)\/(-4)). Let z be 11\/33 - u\/q. What is p(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384630 less than 6.9?\nAnswer: 384636.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14962, -30034, -45106?\nAnswer: -60178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.75134l in millilitres?\nAnswer: 74751.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(198) + sqrt(198)\/(sqrt(9)*2))\/((sqrt(12)*2*-6)\/(sqrt(30)\/sqrt(5)*1)).\nAnswer: -7*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1062, 1\/2, 85.\nAnswer: -1062, 1\/2, 21, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u**5 + 9330988*u**4 + 5443016*u**3 - 8553408*u**2 - 5443064*u - 777580 = 0 for u.\nAnswer: -194395, -1, -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:16 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 33. Let c = 246 + l. Does 12 divide (-4)\/6 + c\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282 + 187. Let i be 471\/(-5)*(-6)\/(-6). Let r = x - i. Which is the second biggest value? (a) 3\/4 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 22*b - 27. Let j be d(1). Put j, -3, 88 in increasing order.\nAnswer: j, -3, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2293 + -2291. Sort o, 3, -1, 20 in descending order.\nAnswer: 20, 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75069 or -75068?\nAnswer: -75068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 205 and 13.7567.\nAnswer: 218.7567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 44*n**2 + 97*n + 236. Let p be w(-46). Is p > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d6c (base 15) to base 16.\nAnswer: -681c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 809 + -787. Calculate the highest common divisor of 44 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, -0.08, -2.\nAnswer: -370, -2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*n**2 - 1 - 2 - 5*n**2 - 106*n to the form b*n**2 + a + c*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-2\/3)*p)\/p)**(-50)*(p*p*p\/((p*p\/p**2)\/p))**28 assuming p is positive.\nAnswer: p**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3389 is divided by 660?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5625649369?\nAnswer: 2633, 2136593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, j: 3, h: 3, s: 3, t: 2}. What is prob of picking 1 j, 1 h, and 1 c?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -31*h**6\/360 - 15*h**3\/2 + 19*h**2. Let v(n) be the first derivative of l(n). Let a(c) = 3*c. Calculate a(v(p)).\nAnswer: -93*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245\/(-70)*28\/(-4165).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 463*b - 9722. Let l be w(21). Sort l, 2, -2, -8 in ascending order.\nAnswer: -8, -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0 (c) -4 (d) 4 (e) 18280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -25. Let g be h\/(-28)*(-80)\/(-2656). Let q = g + -1235\/4648. Calculate the common denominator of q and 111\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38006.71879 rounded to the nearest integer?\nAnswer: 38007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**3 + 42*w**3 - 3*w**2 + 3*w**2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + q + 0)*(-q**2 + q**2 + q**2) + 3*q**3 + 0*q**3 - 2*q**3 - 43462 - 2*q - 22*q**3 + 3*q**2 + 43462 as b*q**2 + l + v*q + o*q**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*7\/84*22\/33*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 156 = 4*j, 9167*j - 9169*j + 71 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -4\/5 (b) 1\/77 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187806 is divided by 11034?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 907 - 4521\/5. What is the common denominator of -73\/56 and w?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1551044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1908 divided by 477\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-24)*(3408\/(-53250))\/((-8)\/(-90)).\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 2381018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 14*j. Let g be p(-14). Solve 5*f + 2*d = -10, 0 = 3*f - g*f + 4*d + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h + 2. Let w(j) be the third derivative of 11*j**4\/12 - j**3\/3 + 2*j**2 - 117. Calculate -5*w(l) - 4*x(l).\nAnswer: -22*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:41 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063, -2138, -3227, -4330, -5447, -6578?\nAnswer: -7723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 3. Let v be i(4). Let g = v - 6. Suppose -4 = -g*x + 11. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 531, 801, 1075, 1353, 1635?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27669, 27685, 27713, 27753, 27805, 27869?\n\"Answer: 6*c**2 - 2*c + 27665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6*0*2\/(-4). Which is smaller: i or 20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -8. Let s(v) = -v**2 - 4*v - 1. Let a be s(c). Sort -3, 0.05, a.\nAnswer: -3, 0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h + 3*h**2 + 0 + 1\/300*h**5 - 1\/120*h**4 + 0*h**3. Factor a(f).\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -45.7367381?\nAnswer: -22.86836905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214604211?\nAnswer: 3, 79, 227, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54438931 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -26. Suppose -5*j = -o*i + 98, 2*i = -0*j + 4*j + 96. Let c be 4\/22 + 1*(-52)\/i. Put 0, c, 1, 5 in ascending order.\nAnswer: c, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3972647, -3972667, -3972689, -3972713, -3972739?\nAnswer: -3972767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -29. Let o = b - -17. Suppose -2*p - x - 37 = -o*p, -5*p = 3*x - 65. Calculate the greatest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 9*q**5\/20 + 17*q**3\/6 + 22*q. Find the second derivative of r(p) wrt p.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11367*j**2 + 5504 - j - 5504 + 2865*j**2.\nAnswer: -8502*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Suppose -3*n = -3*q - 6, 4 + 2 = 3*n + 5*q. Find the third derivative of -2*d**2 + d**n + s*d**2 - 2*d**3 + 3*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5419 is divided by 58.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 25*n**4\/8 + n**3\/6 - 225*n**2. Let x = 16 + -10. Let r be v(x). What is the highest common factor of 41 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/80 + d**4\/16 - d**3\/24 - 3*d**2\/8 + 208*d + 2. Suppose o(n) = 0. Calculate n.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + 2 + -2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*j + 32 = 0, 4*l + 2*j = 37 - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -3, 52 = -2*q - 3*l. Let x = 38 + q. Suppose x*c = 5*c + 35. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70981655 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdbbbzbzwbwbydzbww. What is prob of sequence yb?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53 times -163\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4867660?\nAnswer: 2, 5, 7, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101100010001110101001 (base 2) to base 11.\nAnswer: 4408a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 96851139694491.\nAnswer: 96851139694487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31128, 31130, 31132, 31134, 31136, 31138?\nAnswer: 31140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5272173 is divided by 505.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (-4*(sqrt(612) + -4) + sqrt(612) + 5*(sqrt(612) + -3))**2.\nAnswer: 24*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 8*t - 15. Let p(j) = 5*j**2 - 17*j - 29. Let f(r) = 3*p(r) - 7*q(r). Let d be f(8). Is d >= 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 divided by -66537?\nAnswer: 1546\/66537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504552 by -6.\nAnswer: 84092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 1 = 2*h + h - 5*u, c*u - 1 = h. Solve 0 = -0*a + h*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-1 + sqrt(11))*4)*4)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 4, 2.\nAnswer: 0, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.76 + 18.54. What is the fourth smallest value in 0.4, 1\/6, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109501 is divided by 1922?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 22*v**2 + 40*v - 2. Let u be r(-20). Let s = 2 - u. Let i be (-6)\/(-15) - ((-132)\/20 + s). Solve 2*h + 4 + 1 = w, -i*h - w = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(1*-5*2*sqrt(1900))**2 - ((sqrt(1900) + 4*1*sqrt(1900))**2 + (sqrt(1900) - ((-1 + sqrt(1900))**2 + -2)))*2).\nAnswer: -5107212 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -28*f**2 + 2366. Let d(p) = 17*p**2 - 1183. Determine -5*d(y) - 3*x(y).\nAnswer: -y**2 - 1183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ca3d (base 14) in base 6?\nAnswer: 425435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-22)*(-252)\/30)\/((-1)\/(-20)*-6)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/15)\/((-3)\/18). Let b = -11 - -11. Sort b, k, 5 in increasing order.\nAnswer: b, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-4)\/(-16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 58*l + 620. Let d be t(-14). Solve 2*w - 8 = -d*j, -5*j + 2*j = -5*w - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*h = 12, 2*b - h - 4 = b. Suppose 0 = -4*p - 2*u, -p + b*u = -u. Suppose 5*i + p*q = 4*q + 54, 4*i + q - 60 = 0. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21946, 21944, 21942, 21940, 21938, 21936?\n\"Answer: -2*n + 21948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60*n + 4603. What is s(-80)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 62775027*f**3 + f**2 - 3*f + 2. Let z be w(2). Suppose 0 = b + 8*b - z. Let k be 2\/3 + 2 + b\/(-9). Round k to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-1)\/(-3)). Suppose 3 = -t - r*x + 5*x, 5*t + 4*x - 23 = 0. Calculate the common denominator of (-86)\/10 + t\/(-6) and -3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396601\/10 + -39660. Sort 3, -1\/2, 5, i, 0 in decreasing order.\nAnswer: 5, 3, i, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 10*t**4 + 6*t**4 - t**2 + (-10*t + 7*t - 9*t)*(7*t**3 - 3*t**3 - 3*t**3).\nAnswer: -16*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53411 is divided by 732?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2642.53 to the nearest ten.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.5, -179.728935 in descending order.\nAnswer: 0.4, -0.5, -179.728935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*r - 48*r + 20756288*r**2.\nAnswer: 20756288*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/((-114)\/72) - 6. Suppose -j + 2*c - 4 - m = 0, -4*c = -j - 20. Solve j = -4*q + 10 + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26202*i. Let b(w) = -2*w + 2686. Determine j(b(g)).\nAnswer: -52404*g + 70378572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e577 (base 16) to base 12.\nAnswer: 91a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(539) - (6*(1 + sqrt(539)))**2 - (5 + -1*sqrt(539))**2) - (-5*2*((sqrt(539) - sqrt(539)*2) + 2))**2)*6.\nAnswer: -445806 + 14238*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 + 7*f**3\/2 + 15*f**2 - 2*f. What is the least common multiple of 11 and d(-20)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 - 5*l**2 + 8*l**2)*(-2 + 2 + 3*l)*(1 + 2 - 2).\nAnswer: 33*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllllhpplllllplpl. What is prob of sequence pphl?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1210*n + 1213*n = -2*l + 79, -2*l + 4*n = -86 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/10 - 8007\/9420. Let y(n) = n**3 + 5*n**2 - 6*n - 3. Let d be y(-5). Determine x so that h*x**2 - 9*x + d = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/9*36\/60\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*o - 648*o - 648*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.1. Let t = 0.5 - 0.5. What is the nearest to m in t, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726800728.\nAnswer: 2, 17, 157, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 266251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b - 12. Suppose 0 = 5*g - 8*g - 15. What is the tens digit of -5*(b + 7)*g\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -212\/3. Let 2\/3 - v*j - 4\/3*j**2 = 0. Calculate j.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537 by 3.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is aa (base 11) in base 5?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 43*q**2 + 17*q + 179. Let f(y) = -5*y**2 - 2*y - 22. What is 51*f(i) + 6*z(i)?\nAnswer: 3*i**2 - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89, -792, -2725, -6512, -12777?\n\"Answer: -104*a**3 + 9*a**2 - 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r - 14. Let g be s(-8). Solve -19 = -5*x - 2*o, -2*o = x + 3*o + g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*m - 57337 - 285505. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011 = 112*o - 729 + 172 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = b + 5 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j. Let k = -9 + 12. Does 8 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6775 smaller than -47424\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 6*f**2 - 9*f - 9. Is 10 a factor of a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12344323 - 0?\nAnswer: -12344323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 185.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 72, 159, 276, 423, 600, 807?\n\"Answer: 15*d**2 + 12*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let i = -18131 - -18127. What is the nearest to 0.4 in i, u, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7a7 (base 11) to base 3.\nAnswer: -201120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 67125.\nAnswer: 67125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81140 is divided by 123.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.34? (a) 0.2 (b) 3 (c) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39900851 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h = -44 + 122. Let d = -3\/22 + 39\/44. Factor 3\/4*s**h + 1\/2 - 1\/4*s**4 - 1\/4*s**2 - d*s.\nAnswer: -(s - 2)*(s - 1)**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 4 = 11*p. Let q be (-8 + 13)*(p + 2). Solve 5 + 0 = q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 52 (c) 3 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*n + 22, -22 = -5*n - 4*a - 8. Solve 5*o = n*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/4 - 303*c**2\/4 + 301*c\/2 = 0.\nAnswer: 0, 2, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y + 5*y - 6*y - 3*y to the form m + t*y and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 1520)\/(-85) + (-51 - -4).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.48 + -35.5. Let d = m + 0.22. Round d to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 72*z**3 + z**2 + 26*z - 27. Suppose -32*k = -3*k - 10382. Calculate the remainder when k is divided by w(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 160 = -6267*i + 6262*i, 2*i + 8*g + 217 = 3*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**3 - 42*t**3 - 239 + 239.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162199665.\nAnswer: 3, 5, 619, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 23252b?\nAnswer: 232533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2568 + 7705\/3. Let l(b) be the third derivative of a*b**3 + 0 + 1\/12*b**4 + 1\/120*b**6 + 0*b + 11*b**2 - 1\/60*b**5. Calculate l(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 2. Let z be l(3). Let q be (-2 + 5)*(-2)\/(-3). Suppose -5*b + 5 + 1 = -3*s, -15 = -q*s - 3*b. Put z, s, -3 in ascending order.\nAnswer: -3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*w**4 + 2)*(-9*w - 2*w + 3*w) + (7*w**5 + 11*w**5 - 7*w**5)*(1 + 0 + 2) + w**5 + 2*w**5 - 7*w**5.\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 3*w - 2. Let r be v(4). Let j = 3 - r. Calculate the remainder when 46 is divided by 4\/26 - 618\/j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2520 + 4?\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -19. Let i be (1\/1)\/((-4)\/v). Suppose k - 3*f = -2*k + 18, -2*k = -i*f - 10. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -72, -67, -60, -51, -40?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 22670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let t = 253 - 256. What is the third biggest value in b, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m - 7. Let s be h(-7). Suppose -946*q - 85 + 617 = -3252. Solve s = q*l - 10 + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:04 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*r - 173, -84*r + 81*r + 3*g + 87 = 0. Let n be (-152)\/12*(-4 + (1 - r)). What is the greatest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138740503 divided by -1.\nAnswer: 138740503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -118965.6 to the nearest one hundred.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 6*l + 6. Let s be g(0). Solve -b + 2 = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 4*y - y + (33*y + 76*y + 35*y)*(-2 + 2 - 1) - y - 3*y - y - 12 + 3 - 2*y - 6 to the form n + h*y and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722 is divided by 276.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*b - 192*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 at most -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, m: 3, q: 2, p: 4, u: 7}. What is prob of picking 1 q, 2 u, and 1 m?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/4 - -5\/4. Let v be (1 + 8\/(-5))*180\/135. Which is the closest to t? (a) -0.3 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -400.3 + 422. Let b = -21.69999858 + a. Round b to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*p = 11, 4*m = 2*p - 4*p + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (291\/99 - 3)*3. What is the smallest value in -1, -1\/6, 3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21220220 + 1?\nAnswer: -21220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - 2*w + 1. Let a(i) = 8*i**2 - 3*i + 1. Let b be 0 - 1*91 - (-14)\/(-14). Let h = b - -94. Determine h*a(m) - 3*c(m).\nAnswer: -5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8790 divided by -3901\nAnswer: 8790\/3901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2359 + 2358.5. Which is the fourth biggest value? (a) 0 (b) n (c) 5 (d) -42 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.7, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19463 or -447683\/23?\nAnswer: -447683\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -1.8762.\nAnswer: -0.168858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -191, -19, -50 in decreasing order.\nAnswer: 11, -19, -50, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5 = -2*v + 13, 2*v - 8 = 2*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1878 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 1, t: 3, q: 13}. Give prob of picking 1 t and 1 q.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3643662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 208530208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12101020120?\nAnswer: -12101020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636874 is divided by 13550?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swxhr. What is prob of sequence xs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3 - -3 - (-5 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -234*r + 746. What is b(3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbdgtb. What is prob of sequence gd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1317816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6*q = -w - 188 + 185, 5*q = -18*w - 208 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*(-12)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 14*p + 4. Let o(i) = i + 1. Let t(z) = l(z) - 5*o(z). Suppose -3*d + 15 = -0*d. Let b be t(d). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -77*y + 81*y. Suppose -4*s + 28 = 4*z, 2*s = -5*z + 4*z + y. Solve -4*r = v - 7*r - 1, 0 = z*r + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 30 = -2*g + 7*g, -25 = 5*g + 3*x. Let c be g\/(-44) + (-105)\/33. What are the prime factors of -9*(2\/(-6) + c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 + 2.8. Let u = 6.6 + k. Let c = u + 16. Which is smaller: -1\/2 or c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130345353 (base 6) to base 5.\nAnswer: -1123033112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 0*d**2)*(11*d - 11*d + 21*d)*(-2 + 2 - 2*d).\nAnswer: 42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.3638 and -0.5.\nAnswer: 5.8638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 381, 486, 593, 702, 813?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57164941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**2 + 96*q + 52. Determine d(-12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -13033020121?\nAnswer: -13033020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/13, -5, 6047\/6 in decreasing order.\nAnswer: 6047\/6, 0.2, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*q**2 + 1285*q - 1285*q)*(0 + 1 + 0) + (0 - q**2 + 0)*(3 - 2 + 1) - 3*q**2 - 4*q**2 + 6*q**2 to x*q + h*q**2 + b and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907*o - 65 + 65.\nAnswer: -907*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + r = 3, 2 - 11 = -2*y + r. Suppose 0 = 4*t - p - 549, -p + y = -0. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.28, 0.4, 0.185, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -15.63\nAnswer: 187.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 + 5*l + 15. Let u be y(-10). Let f be 10\/u - 208\/(-924). Let b be (-2 - 0) + 2\/2. Is f smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2276 - 2270 = -b + 3*r, -4*b + 5*r = 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 23691510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2008)\/(-1255))\/(3\/(-6)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 0 - sqrt(132)\/(1*sqrt(12)) - (sqrt(704) + 1 + sqrt(704) + 2 + sqrt(1331))**2.\nAnswer: -8028 - 159*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 8, -1, 4594, 2, 40 in descending order.\nAnswer: 4594, 40, 8, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 97 = 331*n + 60 - 131. Let j(z) = -z + 1. Let r be j(4). Sort n, 8, r in increasing order.\nAnswer: r, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:52 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386\/483 - -4\/69. Let y be 2 + (32\/14 - 2). Factor -y*a**2 + i*a**3 + 2*a - 4\/7.\nAnswer: 2*(a - 1)**2*(3*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 710, 792, 924, 1106, 1338, 1620, 1952?\n\"Answer: 25*t**2 + 7*t + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -5039\nAnswer: 806.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-13))\/((-36)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.64679 - -3885697.35321. Let x = 3885702.96200042 - g. Let h = 0.038 + x. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/132)\/(256\/26496).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 9*p**2 + 7*p + 139. Determine j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 74 - 2*t - 34)*(-228*t + 41*t - 614*t) in the form d + g*t + v*t**2 and give v.\nAnswer: 1602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = -32*i + 57*i + 20. Solve 4*v - i*m + 15 = -5, 0 = v + 5*m - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 12*q - 16 = 0. Suppose q*a - 8*a = -432. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24820?\nAnswer: 2, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 7, -0.058, 2, 0.1?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1422\/15*(-440)\/(-132). Let q = 656 - 458. Let o be -2 + (-6)\/(-27) + i\/q. Is 0 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - 3*c**4\/8 - 5*c**3\/6 - c**2. Let s be f(-7). Solve s = -5*g - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = y + 2*v, -3*y + 3*v + 21 = -y. What is the smallest common multiple of (-220)\/(-14) - (-10)\/35 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 31*d + 1. Let t be (-33)\/(-66) - (-17)\/2. What is the remainder when w(t) is divided by 22 - 6\/(6 + -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7919019.\nAnswer: 3, 241, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26963, -53763, -80563, -107363?\nAnswer: -134163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 81360 to the nearest 1000.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:54 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 64\/5 of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-51) + -5 + (-1205)\/(-285)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) -5 (c) -9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6577475, -1\/4, -1.5, 4 in increasing order.\nAnswer: -1.5, -1\/4, -1\/6577475, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/20 (b) 62 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5373, 149.\nAnswer: 0, 149, 5373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + 0*h**2 + 0*h**2)*(-5 + 3 + 1) - 5*h**2 - h**2 + 5*h**2 to the form t*h**2 + x*h + r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(29\/27608*136)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z = -29*z - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -20. Calculate the remainder when 43 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22021 times -68\nAnswer: -14.97428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 0) + (4 - -65) + (-311 - -313)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-1)\/2)\/((-15)\/240). Let l be (-10)\/(-3) - g\/12. Let y(p) = -3*p + 6. Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94713*l**4 - 2*l**2 - 93528*l**4 - 451 - 229 with respect to l.\nAnswer: 4740*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -20*p**3 + 11*p**2 - 3. Let o(n) = 13*n**3 - 7*n**2 + 2. Let g(y) = -5*l(y) - 8*o(y). Let h(u) = u**2 - 290*u - 2999. Let z be h(-10). What is g(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 0. Suppose 0 = -3*l - 5*d - n, 3*d + 13 = -2. Suppose -6*c + 4*m = -c, m + 15 = l*c. Solve -2 = -2*k - c*r - 8, -3*r - 7 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 + 0 - 1\/36*c**4 - 1\/90*c**5 + 0*c - 3*c**2. Suppose z(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 13*f**2 - 18*f - 15. Let x be g(-14). Let j = -23 + x. What is the least common multiple of j and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12828704 - -27?\nAnswer: 12828732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942725329 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 638, 669, 736, 851, 1026, 1273, 1604?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165934417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 1. Let b(i) = 3*i + 2. Let m(f) = -3*b(f) - 5*l(f). Let t(s) = -3 + 3 - 1. Let c(r) = -3*m(r) + 3*t(r). Let q(x) = -2*x**2. Determine c(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 8*t**2 - 44*t - 33. Let i be c(12). Let x be (-15)\/10*1*-2. Solve 0 = -8*b + x*b - i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - d - 35 = 0, -3*d - 73 = 30*i - 34*i. Solve u = -7*u - i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*d - 22*t = 90*d + 8939, 5*t + 35756 = 4*d. Is d a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let g(m) be the third derivative of 17*m**5\/30 - 5*m**3\/6 - 54*m**2. Determine g(t(x)).\nAnswer: 34*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 8) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - (-6596)\/16. Let t = 1569 - a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821 times -0.56?\nAnswer: -3259.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128320 or 124259?\nAnswer: 128320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 6}. What is prob of sequence rmr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x - 3*b + 120, -420 = -7*x + 5*b. Let c be (-2)\/(-8) + (-354)\/(-24). What is the greatest common factor of x and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 72225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 73*p + 3. Let i be n(-3). Let g be (-5)\/2*i\/(-450). Is 0.1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 23. Let l be v(9). Suppose -2*p - 3*p - 122 = -3*z, -5*p = -5*z + l. Suppose -z*b + 30 = -48*b. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 12*f)*(-4 + 8 + 0)*(-10*f + 32*f + 19*f).\nAnswer: 1640*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 16. Let m = -7 - -12. What is the remainder when m is divided by 1*d*3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*v + 16 = -3*z, 23 = -3*z - 4*v. Let t = 7 + z. Let s = -0.5 - -0.6. Which is the closest to -2? (a) t (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/7 + 414*n**3\/7 + 12717*n**2\/7 + 12300*n\/7 = 0. Calculate n.\nAnswer: -25, -1, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005358 rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 - (10 - 250\/20). Suppose -4*c = -3*c - 281990. Suppose -2*l - v*q = -188015, 0*l + 2*q = 3*l - c. What is l rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**(2\/3))\/w*w)\/w)\/w**(-1\/3)*(w\/w**0)\/(w*w**4*w) assuming w is positive.\nAnswer: w**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45253261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1240.995824 - -1241. What is y rounded to 4 decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4 - 4*z**3 + 131*z**2\/3 + 14*z - 392\/3 = 0.\nAnswer: -4, -2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 11 = -5*w + 2*l, -3*w - 3*l + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4517571761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*d - 63626, -27*g + 32*g = d - 15914. What are the prime factors of d?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*g + 23, -7*h + 2*h = -5*g - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(1216)*2)**2 + (sqrt(608)*1 + sqrt(608))\/sqrt(72).\nAnswer: 1156*sqrt(19)\/3 + 29208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*l + 7*l + 35 = 0, 4*k = -3*l + 5. Suppose 76 = k*p - 44. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8 = -r. Let u be (-1 - 2) + 6\/r + 5. Which is smaller: 2\/39 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228916252 to the nearest integer?\nAnswer: 15130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**7\/840 - a**6\/72 + a**5\/120 - a**4\/12 - 25*a**3 - 117. Let v(u) be the third derivative of f(u). What is v(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/11? (a) -1 (b) 5 (c) -2\/201 (d) -2\/23 (e) 0.01 (f) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r = -8. Let v(g) = g**2 + 5*g - 11. Let i be v(-6). Let z be i\/(-2)*(-1 + 3). Solve -r*h + b + 4 = 0, z*h = 2*b + 3 + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123\/9 - (-1)\/3. Is 7*(-3 + 114\/f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3990?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3790910*k - 10. Let l be q(-11). Suppose -r = -4*r + l. Round r to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15376 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**11)\/(o\/o**(-7)))\/(o**12*o*(o\/o**18)\/o) assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - t = 0, 3*m + 4*t - 8*t = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 154*b - 287. Is r(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -42*a**2. Let p(g) = -6*g**2. Determine r(p(h)).\nAnswer: -1512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5254 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Suppose p - 5 = -s. What is the units digit of 1\/(-2)*(-2)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 2\/21 (b) 43 (c) -327 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) 3 (c) -3 (d) -1\/284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -173892 rounded to the nearest one thousand?\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 9*g**2 - 11*g - 10. Let z be w(-10). Let m be (-5)\/(-2)*(-760)\/(-50). Suppose -m*h + 94 = 18. Solve -8 = h*o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l - 10 = 0. Let q be (2 + 3)*(-4)\/l. Suppose 3 + 0 = t. Solve -6 = t*v + 3*a, 2*v = v - q*a - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(23009\/19376*4\/38).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + y**3 - 7*y**3 - y**2 + 1 + 7*y**3 - 2. Let w(j) = -3*j**4 - 2*j**3 + 12*j**2 + 1. Let d(q) = 2*w(q) + 6*z(q). Determine n so that d(n) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.054 and -3.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aav when three letters picked without replacement from vabbvbvvvbavbavba?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/13 + (-2319)\/(-4)*800\/(-1950). Is -238 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = i + 2*i - j, 4*j + 7 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 1. Let s be w(1). Suppose 55*l - 50*l - 165 = s. Calculate the least common multiple of l and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: d139 (base 15) to base 12\nAnswer: 21676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 28 - 0. Let m(o) = o - 1. Suppose 4*y - 12 = -2*y. Let l(k) = 4*k + 3*k - y - 5*k. Give z*m(q) + 3*l(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 5*v + 17\/2*v**2 - 29*v**4 + 0*v**3 - 36. What is the second derivative of x(d) wrt d?\nAnswer: -696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11193 = -7*g + 38192. Suppose -2*k + 5*i = -1539, 3*i + g = 6*k - k. List the prime factors of k.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77152 + 123?\nAnswer: -77027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/256100 and -61\/22555?\nAnswer: 88866700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2. Let h(l) = 3*l. Let k = -13 - -16. Let q(n) = -3*n. Let d(i) = k*h(i) + 4*q(i). Give d(w(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -328, -249, -172, -97, -24?\n\"Answer: -d**2 + 82*d - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41501959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 + 179. Let y be (7 + -5 - m)\/(2\/(-8)). Sort y, -1, -3, 106 in ascending order.\nAnswer: y, -3, -1, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 41*i + 9. Let j be (-4)\/(32\/36) - i\/2. Let f(c) = c + 5. Let k be f(j). Put -3.2, -0.4, k in decreasing order.\nAnswer: k, -0.4, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 21\/6)*-4*3. Let j = t + -34. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 68*i - 1935. Let m be c(30). Solve 75 = 36*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5\/2)*t)\/(t**(-1\/6)*t))\/((t\/t**(3\/5))\/(t*t\/(t**(3\/13)\/t)*t)))**(2\/9) assuming t is positive.\nAnswer: t**(404\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -232.1. Let j = 11.2 + -3.1. Let d = j - t. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (24 - 128 - -57).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95132 * 27.5.\nAnswer: -2616130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v - 56 = -103*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffuffufff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/85 - -2\/17. Which is the nearest to 6\/5? (a) 0.5 (b) f (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.594\nAnswer: -0.4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227.8 - -229.8. What is the closest to -0.1 in -0.4, q, -3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 32*a + 216. What is t(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - 6*b**2 + b - 4. Let t be o(-8). Suppose -220*u + 216*u = -t. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Suppose -f - 3 = -4*l. Let h be (8\/10)\/(l\/70). Solve -h = -3*u - 2*x - 2*x, -5*u + 36 = 4*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -26 + 106. Suppose 4*t = -0*p - p - 4, -4*p + j = -2*t. Solve -20 = -p*u, 2*l - 2*u + 23 = 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -17, 64, -6 in descending order.\nAnswer: 64, 0.5, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -9)\/(-7)*-2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 - 6*z - 4. Let x be p(-5). Suppose -3*i + 0*i = 0. Let y be 2*((x - 0) + i). Solve -y*s + 2 - 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 583 - 334. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**5 + 5*a**2 - 5*a. Let c(h) = 5*h**5 + 3*h**5 - 5*h**2 + 2*h**5 + 6*h. Let b(s) = -5*c(s) - 6*w(s). What is the third derivative of b(z) wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 384904428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/1*(-10)\/30. Let y(g) = g**2 + 3*g + 5. Let s be y(a). What is the units digit of 24 - 0*s\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 120?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*h - 43*h - 1 - 36*h + 158*h**2.\nAnswer: 158*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 586226951 to the nearest integer?\nAnswer: 24212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h + 4 - 4)*(68 + 186 + 56)*(2 - 4 - 8) to i*h + g and give i.\nAnswer: -15500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 324822*s + 3248222. Give g(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -11*w**6\/15 + w**3\/6 + 19*w. What is the second derivative of x(g) wrt g?\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let o(f) = -f**2 - 14*f + 46. Let j be o(3). Sort -4, u, j, 1 in descending order.\nAnswer: u, 1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21577 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: Let k(x) = -x**3 + 3*x**2 - 4*x - 8. Let b(o) = -o**3 + 5*o**2 - 7*o - 15. Suppose 39 = 3*j - 31*f + 26*f, -21 = 3*j + 5*f. Calculate j*b(r) - 5*k(r).\nAnswer: 2*r**3 - r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22*(-9)\/((-108)\/56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404300 rounded to the nearest 10000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3807462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4533 or 18135\/4?\nAnswer: 4533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11120\/3 + 3708. Let m(f) be the third derivative of -u*f**3 + 1\/30*f**6 + 0 - 20*f**2 - 4\/15*f**5 + 0*f + 5\/6*f**4. Factor m(j).\nAnswer: 4*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 60. Let m = -119 - q. Let i be m\/18 - (-4)\/(-24) - -14. Solve -4 = -o - d, -d - i = -5*o + 3*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(208))**2 + 3 + (5*(1 + sqrt(208)) - sqrt(208)).\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 + 6479036*c\/7 + 369318048\/7.\nAnswer: -4*(c - 1619816)*(c + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 237942057946 and 7?\nAnswer: 237942057939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -1541\nAnswer: -50\/1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/7488 and -29\/76?\nAnswer: 142272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (0 + (-1 + sqrt(147) - sqrt(147)) + sqrt(147)))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101010111100110001 (base 2) to base 10\nAnswer: 175921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.58 in 0.5, -4, -1\/16, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8529 (b) -3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -436567 or -436568?\nAnswer: -436567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*o**4 + 17156*o**3 - 11968*o**2 - 7696*o + 2112 = 0. What is o?\nAnswer: -44, -6\/11, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -2\/9 (c) -1363.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-3)\/(-24)). What is the third derivative of -2*c**5 + c**2 + c**l - c**4 + 3*c**2 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let y = 9 - w. Solve -y*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122557 is divided by 2849?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521824 is divided by 3894?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 1813\/11. Suppose -3*b + b + 12 = 0. Let s be (-6)\/(-9)*b\/4. Is a bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*q**2 - 74*q**2 - 98*q**2 to the form k*q + d + x*q**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - m - 1685, -7*w - 2116 = -2*w - 2*m. Is 1\/3 - w\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 4*d. Suppose -y + 0*y = 0. Suppose -5*b - 2*m + 35 = 0, b + 0*m - d*m - 7 = y. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (174\/30 + (-1)\/(-5))*-23. Let w = 210 + d. Is 52 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -7*i - 7\/6*i**3 + 0 + 0*i**2. Calculate y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010812 rounded to six dps?\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(3*d - d + 0*d) + 0*d - d + 2*d + (2 - 1 + 2)*(-d + 0*d + 2*d) + (2 - 2 + 3*d)*(-1 + 0 - 1) - d + 0 + 0.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 4. Let h(j) = -2*j**2 + 3. Let t(b) = -6*h(b) + 5*s(b). Let g be t(-6). Let r = -53 + g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9370 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 183*t + 53. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 115. Let p = -10 + 18. Calculate the remainder when k is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -884, -842, -800, -758?\n\"Answer: 42*t - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -8*i + 3*i. Suppose 11*b = 15*b + i. Let w = 135 + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = -11. Calculate the remainder when 17 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 15*d + 54. Let x be f(6). Solve -15*b + 116 - 176 = x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138503126, -277006250, -415509374, -554012498, -692515622, -831018746?\nAnswer: -969521870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 25*y**7\/14 + 5*y**4\/6 + y**3\/3 - 28*y. Find the third derivative of g(n) wrt n.\nAnswer: 4500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x - 2. Calculate d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30 + (-4)\/18 - (174152\/1584 + -5).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 - 4*a + 10. Let o be u(-12). Let x be -1 - ((-1)\/3 + o\/(-15)). Suppose -2*b = c - x - 883, 0 = 5*c - 25. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t - 7. Let k(b) = -b + 1. Let l(j) = -2*k(j) - o(j). Let x be l(-4). Put x, 3, 4 in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*j + 6*j + 6*j + (4 - 1 - 2 + (2 - 3 + 3)*(5 - 4 + 1) + 2 + 3 - 7)*(0*j - 2*j + j).\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224.3 + 224. Let d be 1\/5*-2 - 0. Which is the second biggest value? (a) 4 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:19 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 465\/251846 or -1?\nAnswer: 465\/251846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3756 and -21\/112054.\nAnswer: 672324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10758440*f**2 + 137529643 wrt f?\nAnswer: 21516880*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4577826 is divided by 4555?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (86\/8 + 1)*(-8)\/(-2). Is 140\/3 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 28615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)*(u**(7\/3)*u)\/u*u**2*(u**(34\/5)\/u)\/u assuming u is positive.\nAnswer: u**(563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 722 - 728. Let b be (-2 - -2) + -15*3. Let n be ((-120)\/b)\/((-4)\/6). Put n, 3, i in increasing order.\nAnswer: i, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -15, -4*s + 10 = 300*o - 302*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -12 + 2 - -15 - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = r - 7 - 9, 2*r - 12 = y. Let u be 238\/(-170) + 2\/y*-4. Which is greater: u or -3\/154?\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7762873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*z - 2*z, 4*x - z - 11 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6272 and 371584?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 = -r, -k + r - 796 + 801 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus 424391327?\nAnswer: -424391313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 7*b + 38 = 26*q, 0 = -q - 4*b - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. Let d = -3 + h. Suppose -d*o + m = -69, -4*o - o + 65 = -5*m. Calculate the least common multiple of 18 and o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7177668 is divided by 2372?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36338310 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29200*y**4 + 29118*y**4 - 2*y + 4*y**3 - 5*y**3 + y - y**2 to n*y + l*y**4 + z*y**2 + c + b*y**3 and give l.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*t = -0*k + 280, -5*t + 880 = 3*k. Let a = -23 - -333. Suppose -q - 4*q + k = -5*v, 5*q - v - a = 0. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -174. Let o be -1*3 - (471100021\/r - 0). Round o to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164\/((-267648)\/680)*15.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-12)\/(-4)) + (5 + -13 - 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 28*d**2 - 27*d + 55. Is 23 a factor of s(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*y + 2263 = 7*y, -9*x + y + 5115 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/(-3)))\/((-81)\/(-30)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(500) + sqrt(5) + -1 + 5 + sqrt(125) + (-1 + sqrt(125))*-6.\nAnswer: -14*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -l - 9, -4 = -2*v + 2*l + 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 3*y**2 - 3*y + 6. Let r be f(4). Suppose r = 2*o, 2*d + 7 = -d - 4*o. What are the prime factors of 3*(3 + (-30)\/d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146820 is divided by 1760?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 0.3\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5344 + -5338. Calculate the remainder when 1018 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 7, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-140)*(-760)\/(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 7*g - 4. Let c be s(6). Suppose 5*v - 5 = 2*n, -c*v - 3 = -5*n + 16. Solve w + v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -22*r**2 + r + 7. Let o(u) = -u**2 + u + 7. Let k be o(4). Let c be q(k). Let p = 1255 + c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 6*t**2 - 11*t - 3. Let p be j(-10). Let v = p - 676. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**28\/j*j)\/(j\/j**35) assuming j is positive.\nAnswer: j**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i - 7. Let s(a) = a**2 - 7*a - 7. Let j(h) = 6*n(h) - 7*s(h). Let q be (9 - 6)\/((-1)\/(7\/(-3))). Calculate j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21707 and 38661?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9826876 and -4.\nAnswer: -39307504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1250 - 1252. Let p = 1499\/14 - 107. Let r = -17\/42 + p. Are f and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 16*o + 19. Let v be m(-11). Factor 9*a**2 - 2*a**3 + 57*a**2 + 2*a**4 + 28 - v*a - 20*a**3.\nAnswer: 2*(a - 7)*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*o - 24, 3*o - 2 + 23 = -2*j. Let w be 1\/(-8)*34*j. Is w equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 + 277*k + 172. Determine c(42).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdr when three letters picked without replacement from {d: 1, r: 2, a: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7963458 divided by -3.\nAnswer: 2654486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7962 - 27560 = 461*f - 3252 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - s**3 - s**2 + 13*s + 3*s - 4*s + s**4 to the form d*s**3 + c*s**4 + h*s + y + n*s**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*c**4 - 37323*c**3 + 16925916*c**2.\nAnswer: -3912*c - 223938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from bwgssg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2088968853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -269, -263, -257?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -7, -12, -19, -28, -39, -52?\n\"Answer: -r**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*h + 114*h - 55*h - u, 5*u = -5*h + 60 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237276*k**3\/5 - 255528*k**2\/5 + 91728*k\/5 - 10976\/5 = 0. What is k?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:38 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 5, h: 1, k: 2, x: 1, u: 1, y: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Do 8 and -0.214 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23002 and 25730.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**3 + 6*w**2 + 6*w + 6. Let y(v) = -20*v**3 + 17*v**2 + 17*v + 17. Suppose -3*i = -1 - 11. Let z = i - -2. What is z*y(f) - 17*l(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k)\/k**(5\/3)*(k**6\/k)\/k*k**(-1\/3)*k*k*(k**(-1))**(1\/3)*(k**(1\/2)\/k)**(-26) assuming k is positive.\nAnswer: k**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 75 + -106 + 10.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*(65\/5)\/(-26)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*g + 6, -t - 283*g + 284*g = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let d(f) be the third derivative of -f**4\/24 + 3*f**3\/2 - 307*f**2. Determine d(b(o)).\nAnswer: 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 9, -7, -29, -57, -91?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218945321\/888 - -246560. Find the common denominator of -67\/222 and s.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d - 3. Calculate o(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-484)*((-27)\/162)\/(2\/(-80)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + (-26)\/7. Let v(d) = -2*d - d**2 + 1 - 7 - 6 + 17. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -14. Let q = 52.2 - t. Sort -0.1, q, 2, -3 in increasing order.\nAnswer: -3, -0.1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10210 + 11?\nAnswer: -10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(256) - sqrt(256))\/((sqrt(640) + sqrt(40))\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -59 + 5 - -1*2. Let z be (-4)\/26 - 2348\/w. Let j = -22 + z. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avgggagvvaagaggva. Give prob of sequence ag.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2253449*z. Let q(n) = 2*n - 139. Calculate q(i(k)).\nAnswer: 4506898*k - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 164\/591, 1, -23\/11, 3?\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795156523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*y - 4 = -2*y, 3*h + 3*y - 24 = 0. Solve -h*l + n = 20 + 1, -23 = 4*l - 3*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 1374 = -2*t + l, 2*t - 5*l - 528 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-210)\/(-180))\/((-35)\/(-25))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 2. Suppose -5*s - 533 = -528. Let v(f) = f. Give s*m(i) + 3*v(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 5*y + 3. Let x be j(-4). Let f = x - -17. Calculate the greatest common factor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 4*q - 5*q**2 - 2*q**4 + 4*q**4 to the form k*q**4 + r*q + m*q**3 + t*q**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120.91 + -2.91. Let k = q + -117.9532. Let x = k - 0.072. What is x rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-268)\/3082 + 0 + 40\/(-69). Let n = 0.5 - 0.2. Which is the closest to -1? (a) g (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55737 and 50670?\nAnswer: 557370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.532593 millilitres in litres?\nAnswer: 0.004532593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - 1.6. What is the nearest to 0.1 in t, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21.8 and -177.1.\nAnswer: 3860.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706513 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -405 + 581. Let g = 0.05107 + 194.34893. Let b = v - g. Round b to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*k + 24*k - 2. Put 2, 4, 66, k in decreasing order.\nAnswer: 66, 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*g**2 + 0*g**2 - 8*g**2 + 26*g**5 - 10*g**5 wrt g?\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (0 - -7) - 22 - -3) + -3 + 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.1754 years to centuries.\nAnswer: 2.851754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.8 - 96. Let u = 0.02 + -7.62. Let m = u - k. What is m rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 10. Let s be p(7). List the prime factors of ((-54)\/(-4))\/(3\/s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161732635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 4. Let i(m) = 4 - 7*m - 3*m**2 + 2*m**2 - 14. Let r be i(-7). Let l be r*(0 - 2\/5). Let o(s) = 3*s + 5. Determine l*a(w) - 3*o(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -2.6. Let d = 11 - 7. What is the second smallest value in 2, d, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.85337 centimeters in kilometers?\nAnswer: 0.0006985337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 240360073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + (-3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 1. Let d(j) = -2*j**2 - 15*j + 12. What is the remainder when 14 is divided by d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12837*i**3 - 15701 wrt i.\nAnswer: -38511*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*9\/405*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14110?\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let q = 6.9 - 7. Let j = d + q. Round j to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114695851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35810140139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -91 - (-5 - -6) - (1 - -1). Let v = x - -113. Suppose -2*d + 4*l = -2, 2*l + v = -5*d + 48. Solve -4*p + d*o - 47 = -16, 5*p + 5*o + 5 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117) - sqrt(117))*2)\/(sqrt(441) - sqrt(441)*2)*3.\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.913324 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1107, 1, -72, -5, -21 in increasing order.\nAnswer: -72, -21, -5, -3, 1, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -21074, -1, -145 in increasing order.\nAnswer: -21074, -145, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:31 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 22 = 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 0. Let d be (-1 - 3) + m\/1. Let s = d + 66. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - m + 1. Let s = -26 + 23. Let n be j(s). Which is the closest to -0.1? (a) 3 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.86 minus 0.081922?\nAnswer: -4.941922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/4361 or -1?\nAnswer: -34\/4361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w - 1\/2*w**3 + 1\/12*w**4 + 0 - 15*w**2. Suppose n = -1 - 2. Calculate z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6809361.\nAnswer: 3, 13, 174599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/2 - 867*t**2\/4 - 7884*t - 3888 = 0.\nAnswer: -72, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 6*o. Let n = -51.7 + 57. Let d = -1.3 + n. Sort o, 2\/5, d.\nAnswer: o, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 95. Let q(k) = k**2 - 4*k + 6. Let i be q(v). Put i, 0.04, -0.1, 5 in decreasing order.\nAnswer: 5, i, 0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l + 8. What is the remainder when 34 is divided by (-36)\/(-2) + -3 - l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 5 = 21*s. Suppose 0 = -2*k + s*k. Solve k*w - 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25771 + 25774. Solve 4*r = -g + 33, -4*r - 2*g = -37 + a for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41326 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 12*z**2 - z + 12. Let c be d(12). Suppose f - 2*b = 26, -f + 38 = b - c*b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**4 + 248*c**3 + 41*c - 130764.\nAnswer: 20*c**3 + 744*c**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 932*h**4 + 18*h + 934*h**4 + 4*h**3 - 1864*h**4 - 2*h**2 - 60*h to the form w*h**3 + k + v*h + n*h**2 + q*h**4 and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 10*p. Let h be a(10). Let w = 5 - 5. Suppose h*c + c - 3 = w. Solve c*x + 5*r = 8*x - 10, -4*r - 10 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 6*v - 8. Let g be c(7). Let z be 3 + g - 8\/6. Factor 0*j + 0 + z*j**2 - 2\/3*j**3.\nAnswer: -2*j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.86 and 0.7.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.785 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 404 and 202.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.136277 meters to nanometers.\nAnswer: 9136277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 235.4 (c) 103 (d) 2 (e) -0.1 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*w**3 - 102*w**3 - 7 - 18.\nAnswer: -2*w**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = c + 19, -2*c - 4 = -q + 1. Find the common denominator of -16\/9 and (q\/8)\/((-1)\/(-66)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34\/(-119) + (-11293)\/(-7).\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(180) - sqrt(180)*1) - sqrt(180) - sqrt(180)) + 3 + 2 + sqrt(180) + sqrt(180) + 0 + -4 + sqrt(180) + 5)**2*-1.\nAnswer: -261 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4379812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_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: Which is the second smallest value? (a) -5 (b) -0.3 (c) 0 (d) -10 (e) 6 (f) 1.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4250, -3896, -2932, -1052, 2050, 6680, 13144, 21748?\nAnswer: 32798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1155*i + 98165. Give b(-85).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1869192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-10))\/((-2)\/2336). Let p = -2929\/5 - z. Let j = -12\/5 - p. Find the common denominator of j and 43\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (245*q**2 - 1020*q + 1020*q)*(2 - 3 + 4)*(-3 + 5 + 0) in the form x*q**2 + i*q + s and give x.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 - 6*o - 5. Let q be g(-3). Suppose -605781 = q*r - 7125781. Round r to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 499010, 998043, 1497076, 1996109, 2495142, 2994175?\n\"Answer: 499033*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108814)\/30 + (-2)\/3. Let s = -3639 - l. Find the common denominator of s and (-2)\/((-3)\/((-42)\/(-40))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72505 equal to 72502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(297) - (2*sqrt(66))\/sqrt(2))\/((sqrt(1331)*1 + sqrt(1331))*3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 12\/79 (b) 4 (c) -5350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03719069 to 4 dps.\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooeooyccocceey. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca28 - 0?\nAnswer: -ca28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89353184 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*c - 18. Let p = 8 + c. Let s = 15 + p. Solve -s*y + 2 = 3*w, -6*w + 3*w = -2*y - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 - 64*c**3 - 212*c**2 - 248*c - 96 = 0. Calculate c.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3657640 and 13720.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.97, -278, -100?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.304 - -4.816. Let d = -0.12 + s. What is the nearest to -3 in 1, 4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 + 83. Find the common denominator of -3*(-5)\/(-30)*(-190)\/12 and (-6)\/9 + f\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288020\/57 or 5053?\nAnswer: 288020\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k + 7*k - 6*k)*(k + 6*k - 4*k)*(5*k - 2*k - 2*k).\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735269 is divided by 183802.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12312*j + 295481. Give v(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + y = 5*y - 18, 5*p + 5*y = -15. Let z(b) = -2*b - 7. Give z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, g: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*c**2 - 2 + 4 - 6*c**3 + 16*c**2 wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110\/9913 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1 + 9 + 27\/(702\/567476)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 116*m. Let h(d) = 1528*d. Calculate h(k(z)).\nAnswer: 177248*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 - u**3 + 10*u**3 + 79*u**2 - 110*u - 33*u**2 - 23*u**2.\nAnswer: 9*u**3 - 110*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r - 2*h = 238, -3*r + 196 = -5*h. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*3\/2*570\/(-342)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*b**2 - 9*a**3*b*k - 3*a**2*k + 2*a**2 + b**2*k - 10*b**2 wrt a?\nAnswer: -12*b**2 - 54*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, z: 3}. What is prob of sequence zzo?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*b + 4 = 0, -22*r + 26*r + 8 = 4*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15759 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 - 36 - 23 + 95 - 27 to the form h*i + c*i**2 + n and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**3\/7 + 1388*b**2\/7 + 107624*b\/7 + 209728\/7 = 0.\nAnswer: -232, -113, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h**5\/5 + 58*h**4\/5 - 27*h**3 + 104*h**2\/5 - 4*h = 0 for h.\nAnswer: 0, 2\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m + 75. What is the remainder when 24 is divided by i(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f**3 + 4*f**3 + 44*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114871623*n**3 - 292688*n**2 + 71*n?\nAnswer: -689229738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*f - 3 = -4*f, -5*x + 5*f = 15. Let z = -4\/59 + -23\/531. Is z less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 115. Suppose -k + 2 + 0 = 0. Suppose k*s = l*s - 266. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 times -0.3?\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 19971*k**2 - 230*k + 230*k - 1232*k**2 in the form i + r*k**2 + n*k and give r.\nAnswer: 18739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 122 = -114 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 2845659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -13. Let x = 291 + -2325\/8. Which is the nearest to z? (a) -0.1 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447274 at most -447273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 10*g - 3*g - g**2 - 3*g + 13*g - g**3 - 3. Let p be 1\/4*(-464)\/58. Determine b(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 2*o + o - o - 3*o + 2*o + (-o - 3 + 3)*(2 - 2 + 1) + 3*o + 7 - 2*o + o to the form b + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 - -4)*(-1 + 4)\/6. Solve -6*z + 8*z = -r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*28\/(-7))\/(82\/(-41))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/3 - c**3\/2 - 3*c**2. Let d = -4 - -7. Is 10 a factor of o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -11*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(1 + 4\/4 + -1). Let j(p) = -110001*p**2 - 3*p + 4. Let v be j(t). Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119263 divided by -1.\nAnswer: -119263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1607*-1381.\nAnswer: 2219267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 2*f + 16. Let o be b(3). Solve -17 + o = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15726103\/708 - -22212. Find the common denominator of -76\/3 and p.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:29 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k + 4, 0 = 3*v - 5*k - 13. Let t be 1 - (4 + v + -1). Let x be (-3)\/(3*4\/(-12)). Solve -t*f = x*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 - 0 - (12 - 11) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 2071431*a - 1430275462587\/2.\nAnswer: -3*(a - 690477)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002095101384 rounded to 6 dps?\nAnswer: 0.002095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1179340 divided by -294835\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/2))**(-22)*v*(v*v**(2\/25))\/v*v**(-1\/12)\/v assuming v is positive.\nAnswer: v**(-9901\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okg when three letters picked without replacement from {g: 6, k: 8, o: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26720 is divided by 5308?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 - 14.432?\nAnswer: -14.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from txv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20005 - -5)\/(1\/(495\/6)). Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let c(m) be the first derivative of -m**2 + 4. Give x(c(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05649833 to 5 decimal places.\nAnswer: 0.0565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, m: 2, e: 12, f: 2}. Give prob of sequence uf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33340458935 less than 67?\nAnswer: -33340458868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/899181 and -64\/297.\nAnswer: 9890991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/19 + (-1413160)\/(-2109646)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 14*z**2 + 12*z - 7. Let x be l(-13). Let c be (12\/(-14))\/(x\/(-28)). Solve 3*y + 18 = -3*t, -c*y = t + y + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6776 + 4917*n + 6764 - 1371*n.\nAnswer: 3546*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 471, 718, 979, 1260, 1567, 1906?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2127 + -1460. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 30. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 4*c - 6. Let j be w(-5). Let h = -26 - j. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 13*m. What are the prime factors of k(-15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 427 - 1226175?\nAnswer: -1225546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 457?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13819 - 13819 + 77*d**3.\nAnswer: 77*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 847309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**21*j*j))\/j*j**(-15\/2))\/(j\/((j**(-12)*j)\/j)*j*j)**(-50) assuming j is positive.\nAnswer: j**(1437\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -258\/17, -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:43 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62747, 125500, 188263, 251036?\n\"Answer: 5*u**2 + 62738*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*r - 1008. Suppose -r = 2*t - 10*t. Calculate the highest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 104\/988 - (-1 - 45731\/19). Suppose 2*z - q = m, 3*z + 5*q - 3602 = 4*q. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22830, 45645, 68464, 91287, 114114, 136945, 159780?\nAnswer: 182619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 3*t)*(-4*t**3 - t**3 + 2*t**3 + (2*t**3 + 7*t - 7*t)*(3 - 5 + 0) + 0 + 2*t**3 + 0).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -978, 251 in decreasing order.\nAnswer: 251, 2, -978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*k - 9 = 0, -w = 3409*k - 3403*k - 57 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66883\/8915 - 41\/17830. Suppose -v*p - 225\/4 - 1\/4*p**2 = 0. Calculate p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 233392?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522\/91 - 4516\/819. Is -9\/451 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/30 and 121\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.0967267 rounded to one dp?\nAnswer: 101.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*n + 6 - 9, 2*n + 3*o - 2 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18912, -75316, -169322, -300930?\n\"Answer: -18801*z**2 - z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiioiiooioio?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - t - 692 + 667, -6*f + 2*t - 14 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j - 14. Suppose -d = -3*d + 4, 2*d + 64 = -4*a. Let t(i) = 4*i + 5. Determine a*t(l) - 6*y(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2089094000 to the nearest 1000000.\nAnswer: -2089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Let f = -3 + 5.1. Let z = m - f. Which is the third smallest value? (a) -0.4 (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 2 = 0. Let v = 567205\/13 + -43631. What is the nearest to -1 in 0, s, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3\/4 - 9*d**2\/2 = 0.\nAnswer: -18\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18267 * -2.91\nAnswer: -53156.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5623 - -569.2877. Round m to 0 dps.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956\/9 > 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**4 - 5*p**3 - 47*p**2 + 5. Let x(b) = 3*b**3 + 23*b**2 - 3. Let w(q) = 3*d(q) + 5*x(q). What is the third derivative of w(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.999852 - 61. What is m rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.0144 + 2.9856. What is the third smallest value in y, 0.025, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = 2*u, -24*u + 8 = -26*u + 5*k. Is 3\/23 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 26. Let f be j(-12). Suppose 0 = -f*s + s. Suppose s = -5*v - 126 - 209. Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*w - 55*w + 3*s + 16, 5*s = 2*w - 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (19\/(-1) - 2). Suppose -p = -0*d - d. What is the highest common factor of d and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088066?\nAnswer: 2, 7, 77719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*g - 1\/6*g**2 + 1\/2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2 - v + v**2 + 3*v. Let k be a(2). Suppose -4*n + 5 - k = m, 3*m + 3*n = 21. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7273, -7281, -7295, -7315, -7341, -7373?\nAnswer: -7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -444221*c*g**2 - 2*c - 3*g**3 + 17*g**2 - 25591122 wrt g?\nAnswer: -888442*c*g - 9*g**2 + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 m when three letters picked without replacement from {v: 2, d: 4, m: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 22*38\/4. Let q = u - -1494\/7. Which is greater: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-24) - (0 + (-15)\/(-36)). Which is the nearest to x? (a) -5 (b) 2 (c) 16 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from fnffp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246017 or 246018?\nAnswer: 246017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqqx when four letters picked without replacement from {x: 7, q: 3, g: 2}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.7, 4\/73, -32?\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 10 + 12 + 6 - 2. Calculate l(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.84 times 56289?\nAnswer: -2467709.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 3 (c) 0.009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 68*y**4 + 376*y**3 - 1040*y**2 = 0.\nAnswer: -26, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/61534863 or 1?\nAnswer: -2\/61534863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.06 (b) 0.5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -263250510, -263250509, -263250508, -263250507, -263250506, -263250505?\n\"Answer: a - 263250511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7531 + -937. Is p at most 6596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + z**2 + 4*z**2)*(-311 + 152 + 80*z + 160 + 0 + z + 0 + (-5*z + 3*z + 3*z)*(3 - 3 + 2) - z - 2*z - 2*z - 4*z - 3 + 3).\nAnswer: 148*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y + 0 + 26\/3*y**3 - 41*y**2 + 7\/4*y**4. What is the derivative of h(c) wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**1*t))**(2\/65)\/(t**(-2\/19)\/t**1))**11 assuming t is positive.\nAnswer: t**(14597\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 382588006 to the power of 1\/2, to the nearest integer?\nAnswer: 19560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 170*t + 178*t - 372*t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4800 divided by -1600?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*a + 1)*(4*a + 0 + 0) - 2*a - 2*a**2 + 2*a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0 + -4 + sqrt(448) + (sqrt(448) + -1)*-3 + sqrt(448))**2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*k - 20*k**2 - 8*k**3 - 740*k + 158*k + 290*k.\nAnswer: -8*k**3 - 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*12789\/(-1218).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + 4 - 5) - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298\/3 - -99. What is the third biggest value in 3, q, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 79036*h - 780836162.\nAnswer: -2*(h - 19759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/180201051 and -67\/200223390?\nAnswer: 1802010510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 290984 + -2?\nAnswer: 290982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(42\/64) + (-18)\/(-42). Suppose 2*b = -s*z - 68, 0 = -0*z + 5*z + 5*b + 80. Let f be -2*3\/z*6. Solve 2*v = f*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - -104. Let i = 150.1 - h. What is the closest to 0.2 in i, 44, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*h + 137*h - y + 36 = 0, 21*h + 3*y = 108 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17286, -39683, -62080, -84477, -106874?\nAnswer: -129271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1254*f + 1254*f + 19*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1272 - -1304. Solve 0 = g*x - 12*x - 100 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/6 + q**3\/2 - 9340*q**2. What is g(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let k = -1.699 - -1.199. What is the closest to 0 in q, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:32 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 10:35 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10133 - -29947\/3. Which is smaller: u or -150?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*w - 224 = -148*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Let n(x) be the first derivative of 1 + 6*x**2 - 3 - 3*x - 3*x**2 - x**3 + k*x**3. Suppose n(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176\/471 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18695976?\nAnswer: 2, 3, 13, 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -4*l. Suppose m - 5*m = -l. Suppose -i + m*i = -2*a + 23, -16 = -a - 2*i. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let s be k\/9 + 14\/6. Let 2*g**4 - 4*g**3 + 8*g - s + 4 - 6*g**2 + 6 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40835636 a multiple of 2284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*b = 882*b - 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576133883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 24 = -0. Let w(v) = 6*v - 4*v + 7 + v**2 + 4*v. Let n be w(-5). Solve x*y + h = -25, n*y + 0*y + 3*h = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -3 - 2*3\/6. Which is the second smallest value? (a) t (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let b(l) = l**3 + 5*l**2 + 3*l - 3. Let f(a) = a. Let o be f(-4). What is the lowest common multiple of b(o) and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -2\/3 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 3?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15756114 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200310040 (base 6) to base 5.\nAnswer: 11421232301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j + 14 - 8*j - 6*j. Let i be y(7). Let r(f) = -2*f + 5. Give r(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9248690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 4*v + 16. Let q be j(-6). Suppose -6*g + q*g = -10. Suppose g*u + 0*r = r + 39, 16 = -4*r. Solve -3*k + 8 + u = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2448) + -3 - (-5*(sqrt(17) - (5 + (1*sqrt(17) - sqrt(17)) + sqrt(17) - sqrt(17))))**2.\nAnswer: -1053 + 262*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/3 + 3544*x**2\/3 - 87578*x\/3 + 132772 = 0?\nAnswer: 6, 19, 1747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -782, 283, 2158, 4849, 8362, 12703?\nAnswer: 17878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 = 1. Sort p, 0, -5 in descending order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*a + 9 = 0, -245*o - 7 = -248*o + a. Let g(u) be the second derivative of 1\/3*u**4 + 4*u**2 + 2*u**o + 0 - 10*u. Solve g(c) = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*t + 197*t - 142 - 64 = 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -12.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 + 2*y - 8. Determine d(-5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -547, 4, 5 in increasing order.\nAnswer: -547, -2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(36))\/sqrt(12) + sqrt(24)\/sqrt(2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + r = -4, o + 5*r = -3*o + 16. Solve -o*k = -16 - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 574259915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -518999.5 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 270, 1037, 2306, 4077, 6350, 9125?\n\"Answer: 251*p**2 + 14*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*w**3 + 5 + 43*w - 26*w - 17*w in the form b*w**3 + u + m*w**2 + n*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 - 9*i - 11*i**2 - 2*i + 0*i to c*i + n + w*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 628 = 2*j + 394, 3*j - 351 = -4*n. What is the greatest common divisor of 2808 and j?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 2164\/11. Find the common denominator of -27 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 55 = -17. Let l = -5 + g. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 + -1812044?\nAnswer: -1812489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 241295*f**2 - 4103460*f.\nAnswer: 5*f*(f - 17)*(f + 48276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k)*(-3170*k + 3170*k + 261*k**2) + 22*k**3 - 190*k**2 + 190*k**2.\nAnswer: 544*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25*-6542.\nAnswer: -1635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*o + 3, 3*y - 4*o - 13 = -2*o. Suppose -y*c + 371 - 42 = t, 211 = 3*c + 4*t. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30) + (23 + 38 + -63 - 568\/210).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b0dee53 - 0?\nAnswer: 1b0dee53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 4 + 0 - 1 + 4. Let i(w) = -3*w**2 + 17. Let b(y) = -119*y**2 + 2 + 118*y**2 + 4. Let l(p) = 17*b(p) - 6*i(p). Give l(a(k)).\nAnswer: 49*k**2 + 14*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 15}. Give prob of sequence zlll.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**3 - 129*c**3 - 50*c**3.\nAnswer: -147*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*s - 72540 = -925*s for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/5)\/(14*(-2)\/(-20)). Let y = 2363.96 + -2364. Which is the nearest to y? (a) 4 (b) 2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p - 865. Let q be r(-62). Suppose 0 = k + 1, -5*d - 4*k - 61 = -2. Let v be (d\/((-22)\/156))\/2. What is the greatest common factor of v and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/16 + 9*i**3\/8 + 27*i**2\/2 + 197*i. Factor t(l).\nAnswer: -3*(l - 12)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*p + 27, 5*n = 2*p - 0*p - 112. Is n\/(-33) + (-667)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/84 and 82\/45885.\nAnswer: 183540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 6*v - 6. Let q(s) = 7*s**2 + 6*s - 7. Let w(j) = -6*d(j) + 5*q(j). What is w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878444*p**2 + 1916657*p**2 + 3395850*p**2 + 1780439*p**2.\nAnswer: 6214502*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729 - 729 + 4*m**3 + 3*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from {k: 4, r: 1, u: 5, p: 5, x: 1}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113000210002 (base 4) to base 11.\nAnswer: -344a70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = 245*j + 3604 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 14.6, 3\/4 in descending order.\nAnswer: 14.6, 3\/4, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g**2 + 3*g - 5. Let t be x(-4). What is the common denominator of ((-16)\/320)\/(2\/t) and -143\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5562712 is divided by 1854224?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -934\/1079 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9 + -14547?\nAnswer: -1445a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06947, 1\/826, 2\/13 in ascending order.\nAnswer: 1\/826, 0.06947, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 - 9*d**2 - 7. Let n(t) be the second derivative of 3*t**5\/10 - t**4\/3 - 3*t**2\/2 - 4*t. Let b(u) = -9*n(u) + 4*r(u). Give b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73742804 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(972) - sqrt(972)*-2)) - ((sqrt(1500)*-4 - sqrt(1500)) + sqrt(1500))\/(sqrt(5) - 3*sqrt(5)*-1).\nAnswer: -98*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9590 = -530*d + 1325 - 215 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 257, -4\/7, 0.1, -1\/3, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 9 + -10 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4944*j - 100 = 4994*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54160 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 831095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -18. Suppose -5*o - u*j = -386, 4*j + 198 = 4*o - 98. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*r - 64*r + 26*r.\nAnswer: -201*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.4, -106\/7, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6078\/13 - -468. Let n = -222 - -1113\/5. Which is the second smallest value? (a) 5 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u + 4 + 3*u - 14*u**3 - 4*u**4 + 6*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312111221023 + -221?\nAnswer: -312111221310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050.43 less than -23027?\nAnswer: -25077.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4.11. Let j = 0.31 - k. Which is the closest to 1? (a) -2\/9 (b) -2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.572648ug to milligrams.\nAnswer: 0.001572648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 2)*(-3*o**5 + 7*o**5 + 5*o**5 + (o**3 - 4*o**3 - 3*o**3)*(1 - 1 + 2*o**2) + 2*o**5 + 2*o**5 - 5*o**5).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8770585?\nAnswer: 5, 73, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21032 + -10201122002?\nAnswer: -10201203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103602*q + 34535*q + 34534*q + 34530*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-21)\/33)*5\/(-1). Let a be (1 - 1)\/(s\/(-11)). Suppose -2*i + k = -4*k, 5*i + 5*k = 0. Solve -2*c + i*c = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 443040.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -177*p**3 + 169*p**2 + 10*p + 5. Let g(l) = l**3 - 2*l**2 + 2*l + 1. Let n(r) = -a(r) + 5*g(r). Find the third derivative of n(j) wrt j.\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 + 93. Let u be (1 + -4 - t) + -2. What is the common denominator of -63\/10 and 1*5*(-30)\/u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 20. What is p(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/39 and (-396)\/240*(1 + 94\/(-78))?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3. Let o be i(1). Suppose -5*y + 22 = 4*z, z + 1 = -y + 3*y. What is the smallest value in -2\/3, o, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 46) + 7 - (40 - (-3 + 1)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Let l(x) = 3*x**2. Let o be l(-1). Suppose o*a + 43 = 3*k - 71, 66 = 2*k + w*a. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/4)*y)\/y*y)**(14\/9)\/(y**5*y*y*(y\/(y\/(y*(y\/y**(2\/23))\/y)))\/y*y*y))**(-46) assuming y is positive.\nAnswer: y**(1069\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6 = 5*v. Let z = 0.44 - 0.04. Sort v, z, 2 in ascending order.\nAnswer: z, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(4 + -1 + sqrt(68) + -2 + -1))**2 + 1.\nAnswer: 12*sqrt(17) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - -276?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 17291987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 288936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*d - 2*l - 33, -27 = -2*d - l. Let p = d - 83\/7. Which is the biggest value? (a) -0.3 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = s, -3*p - s + 6*s + 19 = 0. Suppose -4*x = 5*j - 416, 3*j - j = -p*x + 172. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -2*j. What is the second derivative of -35*i**5 + 33*i**5 + j*i + i**2 - i**2 wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2103894 + -1124894. What is b rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/508)\/(3\/(-6)). Let w be 2 + 16410\/(-3429) + 3. Let k = w - n. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 - 17.8. Let j = -27 - z. Put -2, j, -0.4 in increasing order.\nAnswer: j, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (8 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w**2 + 5. What is t(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*o - o + 3*o)*(-4*o - 3*o + 5*o) + 5*o**2 - 2*o**2 - o**2 + (2*o + 3*o - 6*o)*(-3*o + 5*o + 0*o))*(-74 - 270 + 102).\nAnswer: -1452*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-2)\/(-6))*3. Let w be (0 + -6)\/((-3)\/k). Let y(r) = r**2 + r - 1. Is y(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1196383855 to 6 dps.\nAnswer: -0.119638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 12 + 19. Suppose 3*m + 2*m = 2*o - h, 30 = 5*o - 3*m. Suppose 15 = o*q - 2*s + s, -q = -s - 7. Solve -11 = 2*t - 5*r, 2*r = -q*t + r - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60\/110 - (-57445)\/55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - n + 3716 = 0, 3*n = -7 - 8. Suppose -12907 = -3*i - q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 650?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 - 4*r - 3. Let h be a(-4). Let y be -1 - (-2)\/3 - (3944\/(-51))\/58. Suppose -h = -o + y. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -20\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1921305, -3842616, -5763927, -7685238?\nAnswer: -9606549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(27\/(-15))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = -27*u - 177 - 273 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 40*c - 100. Let z be j(8). Solve -21*y - z = -35*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 - -206.1. Let i = -292 + 290. What is the smallest value in 4\/3, d, 0.8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 149 (b) -2\/7 (c) 6 (d) -1\/5 (e) 721\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53225*c**2 - 53340*c + 115.\nAnswer: 5*(c - 1)*(10645*c - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4724? (a) -3 (b) 8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 5*u**4\/24 + 2*u**2. Let v(h) = 3*h. Give -4*g(b) + 7*v(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (55\/((-215875)\/30))\/(330\/550)\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8*g = g. Suppose 4*u - 3*f = 157, g*u = -5*u - 4*f + 235. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 797 + 304. Suppose 270 + o = 3*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(720) + 0)*6 + (sqrt(100)\/sqrt(64))\/(-1*sqrt(20)).\nAnswer: -2881*sqrt(5)\/8 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584076 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:59 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8, 0 = -2*b + 2*l - 5*l + 8. What is the closest to -2 in 4, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206.727 * 0.7.\nAnswer: -144.7089","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 1. Let s(p) = 2*p**3 - 4. Let o(a) = a**2 + 3*a - 3. Let x be o(1). What is x*s(j) + 4*v(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 11760\/(-350)*15\/(-6)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - 11313?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102 - 48809?\nAnswer: -48911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 16 = g + 3*h, -3*h = 2*g - 12. Let q = 0.2298 - -0.8702. What is the nearest to 0 in g, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28*d + 1227. Determine x(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 203, -91, -521, -1087?\n\"Answer: -68*k**2 - 90*k + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 less than -42475375.26?\nAnswer: -42475374.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -0.1, -98?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -2 - 19005\/10)\/(16\/(-32))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -224.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7*f = -66. Suppose -2 = 2*g - 10, 5*z + g - 404 = 0. Suppose z*u - 83*u = -105. Calculate the remainder when u is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -241, -229, -215?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**3 + 55\/12*m**4 - 39\/20*m**5 - 2 + 0*m**2 - 11*m. What is the third derivative of s(t) wrt t?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**4 - 5*c**3 - c - 8. Let z(o) = -17*o**4 - 12*o**3 - 3*o - 14. Let j(p) = 10*v(p) - 4*z(p). What is the second derivative of j(g) wrt g?\nAnswer: -144*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*a + 11717, -3*u + 6*u = a + 35123. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11782*u**3 + 12*u**2 - 6. Let c(r) = -777597*r**3 + 790*r**2 - 395. Give -6*c(p) + 395*k(p).\nAnswer: 11692*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -3344772?\nAnswer: -3344772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/240 + 25*z**4\/48 + 625*z**3\/24 - 342*z**2. Find t such that d(t) = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 646099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(12\/18)\/((-80)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**6 - 2*c**4 - 13096*c**3 + 4601061*c**2 wrt c?\nAnswer: 720*c**3 - 48*c - 78576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15518284?\nAnswer: 2, 23, 168677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808180 is divided by 1372?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 8*j - 102. Let u(a) = 12*a**2 + 43*a - 508. Give 11*c(k) - 2*u(k).\nAnswer: -2*k**2 + 2*k - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 3*m**2 - 204*m**5 + m**3 + 203*m**5 + (-2*m**2 + 3*m**2 - 2*m**2)*(6*m - 2*m**3 - 6*m) + 3*m**5 + 4*m**4 - 4*m**4.\nAnswer: 4*m**5 - m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1585.336 - 1586. Round y to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6\/13)*f\/f**(9\/4)*f)**23 assuming f is positive.\nAnswer: f**(345\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11378*j**2 - j + 11365*j**2 + j - 22744*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4780, 19294, 43484, 77350, 120892, 174110, 237004?\nAnswer: 309574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/90*5\/2 - -65. What is the highest common factor of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3204444 - -10?\nAnswer: -3204434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/4 + (39 - 43) + (-3217)\/(-306)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111022332 - -201?\nAnswer: -111022131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091799162 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9)*5*-3. Suppose t + 1 = 4*z + 10, -2*t + l = 5*z. Calculate the least common multiple of 7 and -7*z\/(21\/18).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 3*l - 7*l + (2 + 0 - 4)*(2*l - 2*l + 2*l) - 3*l - 3*l + 4*l + (1 - 1 - 1)*(-3*l - 2*l + 4*l) - 3*l + 6*l - l to v*l + u and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 7*w**2 + 7*w + 11. Let r be (6 - 6)*(-1)\/2. Suppose r = -2*p + 3*p, -3*p = -m + 8. Determine h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/22 + -2 + (-8)\/(-44). Suppose -3*g + 279 = 4*d, 2*g - t*d + 7*d = 193. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (4 - 2))\/1. Suppose f = l - 2 + 1. Let i = -0.9 - -1. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.89 + 0.39. Let n = -18 + 6. Let a = t - n. Sort a, 2\/21, 4 in descending order.\nAnswer: 4, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5803829 to the power of 1\/2, to the nearest integer?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 128 - 8 = 0. Determine k so that x - 75*k**2 + 36*k**2 + 18*k + 40*k**2 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - r - 4, -34*q - 48 = -52*q + 19*q - 11*r + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1153040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -578, -8, 5, 3, 1 in increasing order.\nAnswer: -578, -8, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2524898660 and 0.5.\nAnswer: -2524898659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 425, 1466, 3505, 6878, 11921, 18970, 28361?\nAnswer: 40430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*o + 13 + 2, -4*o + 20 = 5*q. Let x be 7 + -4 + 0 + 2. Suppose -5 = x*r, v + v = o*r + 7. Solve 5 - v = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**2 + 29*r - 6. What is the remainder when s(-7) is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 32*s**2 + 23*s + 6. Let u(n) = -30*n**2 - 23*n - 6. Let h(q) = 5*u(q) + 4*w(q). Suppose h(l) = 0. What is l?\nAnswer: -6\/11, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(2736)*2)**2 - (6*2*sqrt(171) + 2))*6.\nAnswer: 1224*sqrt(19) + 65802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 + 0)*(q**3 - 2*q**3 + 0*q**3) + 3*q**3 + 0*q**3 - 5*q**3 - q**2 - q**3 + q**2)*(4 + 17 + 6) as h*q**2 + n + r*q + s*q**3 and give s.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119262 divided by 66.\nAnswer: 1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -9, 2*y = 3*d - 0*d - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8979541l in millilitres?\nAnswer: 897.9541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305955 + -305953. Suppose -2\/3*y**h + 2 + 4\/3*y = 0. What is y?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(20)\/(sqrt(4)*-1*-6) + ((-1*sqrt(55))\/sqrt(11) - sqrt(5) - (sqrt(20)\/sqrt(4) + -3)))**2 + -3.\nAnswer: -17*sqrt(5) + 1625\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1977\/10 - 16643\/90. Let o = -13 + g. Suppose -5*n - 15 = -0*n. Which is the biggest value? (a) n (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4400, -17644, -39736, -70676, -110464, -159100, -216584?\n\"Answer: -4424*v**2 + 28*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-1176)*-7*8\/380\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:16 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 164, 2, -0.11, -0.4.\nAnswer: -10, -0.4, -0.11, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15504010 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1166 = -3*l - 2*l, -3*i - 4*l = -1130. Let r = -197 + i. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9637*s - 301. Let i(u) = -13257300*u + 414090. Let n(m) = 7*i(m) + 9630*l(m). Let a(c) = 6*c. Determine a(n(d)).\nAnswer: 19260*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 16 + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720229943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 45*k**3 + 16*k**2 - 4*k + 12. Let o(t) = 33*t**3 + 12*t**2 - 3*t + 10. Give -4*o(y) + 3*w(y).\nAnswer: 3*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*o + 28583 + 33441 = -15592. Calculate the least common multiple of o and 728.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(18 + -9) + 5*-2. Which is the closest to -2\/3? (a) -0.08 (b) 2 (c) s (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07766 - 0.43234. Let d = -368.51 - -359. Let q = d - y. What is the second biggest value in 4, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14683 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 862553 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40435 is divided by 20217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25, 18 in ascending order.\nAnswer: -25, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82891843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2. Let m(i) = -175*i - 10*i**2 + 175*i. Give m(o(j)).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359736 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103087 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*u - 149 = 0, 3*h + u = -4*u + 461. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.156 - -0.044. Which is the smallest value? (a) -4 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 8*p - 8. Let r be q(6). Suppose -r*h = -20, 2*x - 31 - 19 = -2*h. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683621?\nAnswer: 17, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -85. Let k(t) = 32*t**2 + 33*t**2 + 1 - 2*t - 60*t**s. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {z: 9, t: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2760 and 109\/18.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:25 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 55*c + 585. What is n(20)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -528.813 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1135.2502 + 1135. What is s rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, f: 2}. What is prob of picking 1 f and 3 n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5ab (base 14) to base 5\nAnswer: 14011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 452\/(-112))\/((-30)\/4025). Let q = c + 14\/3. What is the common denominator of 57\/10 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34009303 - 0.33926. What is g rounded to 5 dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135 and 4.1.\nAnswer: 553.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 10423744?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 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: Two letters picked without replacement from {n: 1, f: 1, z: 1, k: 4, v: 3, c: 4}. Give prob of sequence ck.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82\/5 + 269\/10. Let y be (1 - 103)*(-1)\/(-10). Let p = t + y. Which is the second smallest value? (a) -2 (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 1)\/((-66)\/(-159)) and 97\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.440152243 - 132936\nAnswer: -132936.440152243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + 0*f)*(5*f + f - 5*f + 3*f**2) + f - f - 2*f**3 + (0*f + 0*f - 2*f**3)*(0 + 2 - 1).\nAnswer: -f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15784771 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/49 + 704\/210 and 4890\/500*(-10)\/(-108).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/42*9)\/27)\/((-12)\/1920*8)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 79. Put -0.1, n, -5\/3 in ascending order.\nAnswer: -5\/3, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7 + 0 - 0 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 66.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-1\/5))\/z))**10\/(z**(-1))**9 assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3031 (base 5) to base 2.\nAnswer: 110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 1. Suppose i + q - 34 = 0, -2*i - 2*q + 64 = -q. Suppose -11*a + 5*a = -i. Let f(u) = 3*u**2 + 5*u - 6. Determine a*h(s) - f(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 4*s - s)*(-3 + 0 + 5)*(-460*s + 156*s + 177*s).\nAnswer: 508*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3347 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123*d*l**2 + d*l*y - 2*d*l + 695*d*y + l**2*y + 244*l**2 + 86*y wrt y?\nAnswer: d*l + 695*d + l**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0.5, 1, 0.0223, -4, 0, 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/5 - 2\/(-5). Let d be (-15)\/42 + w\/(-4). Let j be ((-4)\/65)\/((-4)\/10). Which is the biggest value? (a) 0.1 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 - 4780*z**2 - 5977405*z + 5982180 = 0.\nAnswer: -716, 1, 1671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6581797 to 1 dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-2))**(25\/3)\/(u**(2\/21)*u**(6\/11)))**(1\/3) assuming u is positive.\nAnswer: u**(7552\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -1. Let y = 237 + -163. Let k = 368\/5 - y. Which is the nearest to 1? (a) w (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010001 (base 2) to base 12.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - d = -6*d + 2, -3*d - 22 = -4*c. Let b be (4\/1)\/c + -3. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 14 + 32 = 4*m, -4*m + 4*p + 48 = 0. Suppose 0 = m*o - 2241 - 139. List the prime factors of o.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 86, 5 in increasing order.\nAnswer: -2, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -9, -91 in decreasing order.\nAnswer: -5\/3, -9, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 19 = -31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404027091*g**2 + 19*g - 6983758.\nAnswer: 808054182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -58*j**3 + j**2 - j - 2. Suppose -h = -9 - 6. Calculate the remainder when x(-1) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -377716400732\nAnswer: 377716400731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2693953791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1 + -11)\/(-2). Suppose -2*u - 9*k = -4*k + 10, -3*u - 2*k = 15. Let p = q - u. What is the remainder when 48 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 23. Let c be (4\/3)\/((-2)\/n). Let d be (c\/5)\/((-4)\/(-10)). Solve -r = d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 - 31?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*i**3 - 4*b**2*i**2*s - b**2*i + b*i**2*l*s + 11*b*i*l*s - 12*i**3*l*s + 160788*i**3*s - i**2*l*s + 5*i**2 + 158*l wrt i?\nAnswer: 6*b**2 - 72*l*s + 964728*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 0.294?\nAnswer: 10.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1836.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 19 = n. What is the greatest common factor of n and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -34, -108, -220, -370, -558?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 36 = 21*g. Find o such that 74*o**4 + 15 - 3 + g*o + o**4 - 90*o**3 - 33*o**2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + p)*(-4 + 2*p**2 + 4) + (2648*p + 60*p**2 - 2648*p)*(-2*p + 4*p - p))*(p - 4*p + 2*p).\nAnswer: -62*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48134 is divided by 8019?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1635 (base 7) to base 5.\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126208 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 3. Let s be z(1). Let p be (-1146)\/48 - s\/8. Let f = p - -24. Solve f = 6*w - 3*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-6) + (-8)\/(-12). Let c be h*(22 - 0) + 1. Let q = -16 - c. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/5*(-13 - -8). What is the remainder when 6 is divided by s\/(-98)*14\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12643515.3 minus -0.834?\nAnswer: 12643516.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/398413 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 6 + (3 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 554*q\/5 - 2184\/5.\nAnswer: -2*(q - 273)*(q - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {e: 2, d: 3, x: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44925 and 26575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186261, -745105, -1676515, -2980491?\nAnswer: -4657033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44988 - 2?\nAnswer: 44986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(7) - sqrt(7))**2 + (sqrt(14)\/sqrt(8))**2 - (4*(sqrt(70) + 2*sqrt(70))\/sqrt(10))**2.\nAnswer: -3709\/4 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/(k*k*k**(-1\/6)*k)*(k**(1\/2))**45)**(-2\/99) assuming k is positive.\nAnswer: k**(-227\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 127.0916?\nAnswer: 50.83664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = u - 859, 4391 = 5*u - 0*u + h. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/4*(-160)\/56. Let w be ((-35)\/a)\/((-1)\/2). Suppose 4*x + 4 = -4*v, -2*x - 4*v = -v + w. What is the remainder when 6 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22062 divided by -6?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -6. Let g = 15107\/6 + -2558. Let s = g - -40. Put 0.5, a, s in ascending order.\nAnswer: a, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 105*u + 32. Let j(l) = 35*l + 11. Let m(s) = 7*j(s) - 2*y(s). Let n be (-4)\/(-14) + 40\/7. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 57, 60, 63, 66?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 28.59.\nAnswer: 943.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 0. Let m = h + 25. Which is bigger: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b + 583 = -177 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-12)\/j)\/j**(-1))**(1\/23) assuming j is positive.\nAnswer: j**(-11\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let h(u) = -20*u. Let l(z) = 3*h(z) + 21*m(z). Let r(j) = -11*j**2. Calculate r(l(i)).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)\/(x**(-6)*x)*(x*x\/(x\/x**(-1))*x)**(4\/17)*((x**1)**(-33))**19 assuming x is positive.\nAnswer: x**(-42263\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 5)\/2 - 7\/14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*b*j*z + 107*b*j + 2*b*z**2 - 3*b - 7*j*z - 2*z**4 wrt z?\nAnswer: 15*b*j + 4*b*z - 7*j - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300221 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 14*f - 34*f + f**2 + 22*f - 6 + (26*f**2 + 13*f**2 + 18*f**2)*(2*f + 3*f - 4*f) + f**3 + 0*f**3 - 2*f**3.\nAnswer: 58*f**3 + f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.032, 0.27, 0.4, 1, -3\/2, 2?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5000\/7 - 714. Let g = 0.8 + 0.2. Which is the nearest to l? (a) g (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*u + 579, -271 = -3*u - 5*k + 56. Solve -28*w + u = 10*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63911859565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 244977 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239 = -48*n - 1484 + 803. Which is the second smallest value? (a) n (b) -1\/3 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26838 and 83808684.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 683 + -659. Solve -6*t = 6*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/45)\/(6\/(-20)). Let u(x) = -x**3 + 4*x**2 + 3*x - 1. What is the remainder when u(q) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jttttzzxtzttttt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, -3\/2, 2, 35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkppkkplkppkkkk. What is prob of picking 2 k?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 166*y**2 - 415*y**2 + 91*y**2 + (-4 + 4 + 2*y**2)*(2 + 1 - 4).\nAnswer: -160*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -452, -850, -1152, -1310, -1276, -1002?\n\"Answer: 8*v**3 - 454*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-10) - (-2 + (-12)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:22 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*v**4 - 5*b*v**3 + 3*b*v**2 - 3*b*v + v**4 + 8*v**3 - 2*v**2 - 5*v wrt v.\nAnswer: 24*b*v - 30*b + 24*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1051 + -484. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 25*d**2 - 2*d + 52. Let j be v(25). Solve j*s - 16 = -6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Is (-1)\/(3\/33*w) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utg. Give prob of picking 1 t and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*g - 8, -4*g + 1 = 2*j - 3. What is the third derivative of 7*s**2 + 4*s**2 - 4*s**j - 5*s**3 wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9201 + -9206. Put 5, p, 319, 7 in increasing order.\nAnswer: p, 5, 7, 319","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 120, 0, 8, -106, -1 in descending order.\nAnswer: 120, 9, 8, 0, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/96 and 163\/132.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(1 + 3 + 0)*(-3 + 1 + 0 - 2*y**2).\nAnswer: 16*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19584*0.6.\nAnswer: -11750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1604761 and 0.5.\nAnswer: -802380.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(19\/(1463\/(-42))) - (0 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 2, b: 2, z: 4}. Give prob of picking 1 y and 1 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 1 - 5 = -2*d, 6 = 3*d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/198 - (-8025)\/(-9900)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-3)\/210*140\/56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*21*8\/120?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46\/3 - -33\/2. Let v = 11\/12 - q. Let i be (-1)\/(-6)*1 - 0. What is the second smallest value in i, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5, -1 + 0 = 2*i + h. Let k = -5 + 4.6. What is the nearest to 1\/3 in i, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183563 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((81\/(-12))\/9)\/(2\/(-8)). Let z = -916 + 916. Let g be (-8)\/(-6) - 6\/(-9). Put -2, j, z, g in increasing order.\nAnswer: -2, z, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 37.9, 12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -498, -482, -440, -360, -230, -38, 228?\n\"Answer: 2*t**3 + t**2 - t - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 - 46\/(-12). Suppose -20 = l*q - 52. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.278 + -0.122. Let x = 0.0317434 - 2.4317444. Let f = x - g. What is f rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 9 (c) 4\/7 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1475)\/(-55) - (-4)\/22. Suppose -b = -4*t + 128, -5*t = -4*b - 54 - 106. Let j = t - v. Solve 5*o + 40 = -j*s, -s - 5*o - 5 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 times -40\nAnswer: -8120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*o + 10739990, 4*x = -2*o + 5*o - 14320006. What is x rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -5 (b) -0.2 (c) 9\/4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -102, -232, -414, -648, -934?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1280, -1284, -1298, -1322?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20564, -16366, -12154, -7922, -3664, 626?\nAnswer: 4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:56 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1120847 and 51121?\nAnswer: 75096749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-33) - (-86)\/(-473). Let -18\/7*v**3 + 0 - 12\/7*v**b - 2\/7*v = 0. What is v?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20214 or 15590?\nAnswer: 20214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26203, 26260, 26317, 26374, 26431, 26488?\nAnswer: 26545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 138*u**3 + 6*u - 61. Let n(m) = 277*m**3 + 13*m - 124. Let k(g) = -6*n(g) + 13*y(g). What is the derivative of k(q) wrt q?\nAnswer: 396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2253 from -26.603.\nAnswer: 2226.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 + 19287*p**2\/4 - 7742520*p - 23270976.\nAnswer: -3*(p - 3216)**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3562 - -0.35?\nAnswer: 0.7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*l + 60, 4*m = -5*l - m + 150. Let x be 72\/5 + l\/(-75). Suppose 15*k - 55 = x*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + 1 + 50 + -72 + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siisii. What is prob of sequence si?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-4)\/((-8)\/(-6)). Suppose -4*k = 3*v + r, -14 = v + 2*v - k. Let u be (-383)\/v - (-1)\/4. What is the highest common divisor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:58 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/81, -3\/4, -3129, -3, -2?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 4\/3 (c) -12 (d) 2 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*k**2 - 124*k**2 + 378*k**2.\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (84\/(-5))\/(5 + (-78)\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621449 a multiple of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177556923?\nAnswer: 3, 19728547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w**6 + 0*w**7 + 2*w**2 + 0*w**4 - 1\/84*w**8 + 0 + 1\/60*w**5 + 0*w**3 + 0*w. Find the third derivative of v(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7548\/9013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*j + 104, -5*l + 3*j = -l - 148. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeyyfyevh. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2203653, 2203623, 2203595, 2203569, 2203545?\n\"Answer: p**2 - 33*p + 2203685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1770.7984327 + 1770.8. What is g rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101\/3, 5\/7, 696.\nAnswer: 5\/7, 101\/3, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/2*(-1 - -153). Suppose 791 = 3*j - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/10 + (-2)\/(-5). Suppose q*h - 4*h + 2*l = 11, 41 = h - 4*l. Suppose 3 = 3*c - h. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 1. Let c(d) = 4*d + 1. Let m(h) = -2*c(h) - 3*t(h). Suppose 0 = -4*o, 0 = -b - 0*o + 5*o - 1. Calculate m(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*l = -37568, 0 = v + 5*l - 4607 - 4789. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 120 = -6*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csh when three letters picked without replacement from {q: 9, p: 2, s: 1, h: 1, c: 4}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/2 + 15*t**2 + 14*t. Let d be l(-5). Suppose -b + d = -5*y, 5*b + 0*b - 4*y = 138. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 94. Which is the nearest to j? (a) 1 (b) 0 (c) -2\/23 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Suppose 5*j = 2*j - 12. Sort j, t, 18 in decreasing order.\nAnswer: 18, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.85 - -0.86. Let s = g + 0.59. What is the smallest value in -0.06, s, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4141\/12 + -985\/3. Find the common denominator of -5\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/((-1)\/(-1)))\/(2\/132). Let t = s - -68. What is z in -14\/9*z - 4\/9 - 10\/9*z**t = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -19) + (0 - -6) + -108 + 110.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976.381ns to milliseconds.\nAnswer: 0.000976381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3\/7))\/(v*v**(-18)\/v)*v**(-9)\/(v**(2\/65)\/v))**44 assuming v is positive.\nAnswer: v**(228184\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 678, -2\/947 in descending order.\nAnswer: 678, -2\/947, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717303758 to the power of 1\/3, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7334 + -13?\nAnswer: 7321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8003.78 rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + 8*g + 2. Let t = -34 + 74. Suppose -4*y + 12 = -t. Let a(j) = -4 - 17*j + 7*j**3 + 4*j + 8*j**3 - 4*j. Give y*s(u) + 6*a(u).\nAnswer: -u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1411 - 1409 = -84*f - 26*f - 78*f. Let w(k) = 3*k - 3. Let o be w(2). Solve -y + f = -0*j - o*j, 0 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 19587726?\nAnswer: 19587742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(931) - (-1 + sqrt(931)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -3, 5 in descending order.\nAnswer: 70, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 1. Let x be s(-6). Suppose -4*w + 5 = 3*q, w - 13 = -w - x*q. Is (-2)\/2*w + 25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71433222*r**3 - 488*r - 1 - 71433223*r**3 + 3 + 445*r**5 wrt r?\nAnswer: 8900*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 232*p**3 + 5*p**2 + 8*p - 29. Is a(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 881 + -882. Is 3254 + 2 + (-10 - g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Suppose -5*g - a + 5*a - 55 = 0, 2*g = 3*a - 22. Put g, -3, c in ascending order.\nAnswer: g, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*x - 253 = -610*x + 2675 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a9774 (base 11) in base 9?\nAnswer: 262478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 2*m**2 - 194*m - 985. Determine w(-5).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 3*f**3 + 0*f**3 - f**3 - f**3 + 61026.\nAnswer: f**3 + 3*f**2 + 61026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x. Let m(r) = 204*r**2 + 106. What is m(z(k))?\nAnswer: 7344*k**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103966609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160696 divided by 4.\nAnswer: -40174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.7 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -131151?\nAnswer: -131150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 7*v - 65. Let c be l(5). Is c - (8 - (7312 + -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - 334*s - 114. Let v be c(56). Let r(n) = -4*n - 13. Determine r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*k - 14, 0 = -2*s + 5*k + 9 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 3. Let i be k(-2). Let b(y) = -3*y**3 - 11*y**2 + 2*y - 7. Let m(o) = -2*o**3 - 6*o**2 + o - 4. Give i*m(w) - 4*b(w).\nAnswer: -2*w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 47*m**4 + 11*m**4 + 14*m**3 - 81*m**4 - 4*m**2 + 0*m**2 + 13*m**4 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 5. What is s(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**3 + 4*v**2 + 5*v - 5. Let o(b) = -b**2 - 2*b + 2. Let w(l) = l**3 + l**2 + 3*l - 3. Let h(y) = 9*o(y) + 4*w(y). Give 4*h(c) + 5*r(c).\nAnswer: c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005275180326 to 6 decimal places.\nAnswer: 0.000528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 39*r**2 - 91*r + 261. Calculate the remainder when o(36) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 - 320. What is the remainder when t is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -6 (c) 1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62506, 123878, 185250, 246622, 307994, 369366?\nAnswer: 430738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:58 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1813869 and -0.4.\nAnswer: 725547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 4. Let r(b) = -b + 1. Let s(m) = -3*m + 6. Let f(q) = 5*r(q) - s(q). Let u be f(-2). What is the closest to 0.1 in j, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153\/25 - 48\/25. Calculate the common denominator of 43\/65 and p.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 0 - 3*t**2 + 0 + 2*t.\nAnswer: -2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -87, -112, -2\/11, 0.4, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -13. Suppose -b = -3*y + 2*y. Let a = -2 + y. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53646894 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-4*sqrt(70)*2)\/sqrt(10))**2 - ((-1*(sqrt(84) - -1*sqrt(84)) - sqrt(84)) + sqrt(84))\/sqrt(12)).\nAnswer: 2*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - 3) + (33 - 38)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-1)*i*i**(-1\/16)*(i\/((i*i\/i**(3\/2))\/i))**(2\/19) assuming i is positive.\nAnswer: i**(941\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -0.5, 113, 0.3, 3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 79 = 56. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24045*v**3 + 7206*v**2 wrt v.\nAnswer: 144270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.2 + -36.8. Let z = 76051.2390018 + -76099.239. Let h = t - z. Round h to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 10 = 0. Let d be (-4)\/6*(-84)\/2. Suppose -z*t + d = 4*h + 2*t, -17 = 4*h - 5*t. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0113 and -0.1?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + ((-12)\/9)\/4. What is the third smallest value in -0.1, h, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let z(d) be the first derivative of -d**6\/180 - 2*d**3 + 2. Let t(i) be the third derivative of z(i). Calculate a(t(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58156873966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2*(2 - -9))\/((-3995)\/3995).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 + -4?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:56 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2137 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 28. Let m(a) = -3*a + 7. Let h be m(t). Let l(q) = -q**3 - q**2 + q + 1. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.277556 times -3\nAnswer: 0.832668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55216, 110635, 166054, 221473?\nAnswer: 276892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 - 5*w**2 + 4*w - 6. Determine v(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03962+-0.02\nAnswer: -0.05962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -79. Let k = 399 - t. Suppose k = 3*p + 102. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t - 24. Let l(h) = 33*h - 516. Let j be l(16). Give q(j).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 + 0*h**2)*(-4*h**2 + 4*h**2 + 2*h**2) + h**4 - 69*h**4 - 8107*h**3 + 8108*h**3.\nAnswer: -66*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m - 7*m + 63. Solve 3*q = -a + 1, 3*a - m*q - 3 = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/8302 and -169\/42.\nAnswer: 24906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/5 - 6\/15. Suppose u = -o + 1. Let y = -1.5 - -1.5. Does o = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.128023 rounded to 2 dps?\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4922 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) -5\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2728)\/(-990))\/(68\/6) and -61\/60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 - f**2 - 2. Let n(b) = 2770*b**4 + 65*b**3 + 13*b**2 - 798*b + 26. Let q(y) = n(y) + 13*v(y). Find the second derivative of q(g) wrt g.\nAnswer: 33240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**(1\/11)\/o))\/o)\/o))**3)**(-1) assuming o is positive.\nAnswer: o**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 490?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 26*c**2 - 2*c - 49. Let p be l(-26). Solve -2 = -2*y, p*t - t + 3*y = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 - 1383 = -84*c + 631. Solve c*d - 19*d - 1 = -5*v, v - 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - -30 - 21 - 12\/1 - -27413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 11*f - 13*f)*(f + 2 - 2)*(-190 - 78*f + 190).\nAnswer: 1794*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -148, -339, -606?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Let q = 31.4 + -30.9. What is the nearest to -1 in u, 0.16, q?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 100. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878758054 a multiple of 2732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2\/15)*v*v*((v*(v*v*v**(-13))\/v)\/v)\/v*(v\/(v**12\/v))\/(v\/v**(-1\/15)) assuming v is positive.\nAnswer: v**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 17506008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 13*s + 33. Suppose -63*j = -62*j - 15. Let q be f(j). Suppose -3*z - 13 = -2*o, -q*o - z + 19 = -5*z. Solve 15 = -2*d + o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2. Let g(i) = 3*i - 25. Let s be g(10). Let a(z) = -20*z + 5. Let q(k) = 9*k - 2. Let x(o) = s*q(o) + 2*a(o). Determine c(x(b)).\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290288?\nAnswer: 2, 18143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -9 - 7. Suppose 0 = -3*t + 2*t + o. Suppose 5*c = -t + 41. Solve -4*u + 2 = -5*l - 13, 4*l + 12 = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Suppose -x + 5*p + 12 + 10 = 0, -a*x = -2*p - 16. What is the first derivative of -3*b + 3*b**4 - 2 + 3*b - x*b**4 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/45 and -137\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059608 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 7:22 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:30 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25064786 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(1331))*-6 + -5).\nAnswer: -66*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -0.4118248.\nAnswer: -0.5118248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(91)\/sqrt(7) - (sqrt(13)*4 + 3))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 709002, 1418013, 2127024, 2836035, 3545046?\nAnswer: 4254057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 - 565 = -22*g. Solve g*n - 14*n + 3*a = 1, -2*a = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 z when three letters picked without replacement from {z: 1, r: 3, t: 1, b: 5, a: 1, q: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 10*b - 3*d - 23 = 0, -d = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4703 and -89\/14.\nAnswer: 65842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 7*r + 1. Let a(n) = -n**3 + 10*n**2 - 2*n - 6. Let i be a(10). Let b be 268\/52 + 4\/i. Determine y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in -0.5, 542, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 73, 116, 179, 268, 389?\n\"Answer: y**3 + y**2 + 19*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-14))\/((-2)\/(-14)). Suppose -21*a + 10 - 31 = 0. Let l = y + a. Solve -24 = -4*m - 5*i, 3*m - i = l*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 79?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -27. Let n = 0.2 + -0.3. Which is the nearest to n? (a) -4 (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -48. Solve -2*f + s*f = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**2 - 1202*z - 13127. What is n(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - 6 = -4*y, 20 = 5*y + 5*t. Suppose y*b - 10 = -3*b. What is the third derivative of -b*i**3 - 3*i**2 + 3*i**3 + 5*i**2 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 4. Let b be r(2). Let x be 5\/(-35) - 54\/14. Sort x, b, 5 in ascending order.\nAnswer: x, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/60 - g**4\/4 + 2*g**3\/3 + 5*g**2. Let s be n(6). Solve -3*c - 15 = -4*c - 3*w, s*c = -5*w + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12160 - 7836. What is the remainder when q is divided by 149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/7 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 9*o - 12. Suppose 117 = 3*q - 3*g, 0*q - o*q + 2*g + 117 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f + 12. Let j be b(0). Suppose -3*k + j = 3*k. Suppose 3*y + k*s - 245 = 0, -2*s = 5*y - 0*s - 411. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8*q - 8. Let v be (-68)\/(-16) + q\/8. Solve -3*d + v*j + 5 = 0, -3*j + 2*j - 25 = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*i**2 - 27\/2*i + 27 = 0. What is i?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2931 - 2899. Suppose 3*f = -6 + 18. Suppose -f*o + 4*i = n, 4*i - 5*i = 3*o + 24. Let m(u) = u**2 + 11*u + 11. Determine m(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59\/2 - -29. Let t = 2415.3 + -2415. Let r be 27\/5 - (-2)\/(-5). Which is the fourth biggest value? (a) 1\/4 (b) o (c) t (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s - 21. Does 9 divide d(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196484.\nAnswer: 2, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600 = -293*r + 133*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*1)\/(sqrt(11) + (sqrt(110)*1)\/sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/19*(9*1 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 + n + 4. Let i be j(6). Suppose -4*y - 2 = -i. Suppose -y*b - 5 + 15 = 0. Solve -b = -2*z + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1491, 1, -4, -3, 5 in decreasing order.\nAnswer: 5, 1, -3, -4, -1491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 20. Suppose -3 = -2*l + c, 15 = 2*l + 2*l - 5*c. Solve j - t = l, 5*j - 24 = 2*j - p*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, -6*v = -4*v - 4*s + 8. Let t be (v + 1)\/((-6)\/2288). Suppose q - 9*q + t = 0. Does 31 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c62c7 + 2?\nAnswer: c62c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 11646*a\/7 + 82208.\nAnswer: -2*(a - 49)*(a + 5872)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1100 + 754. Let y = 531 + f. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v + 55. Let q be f(-4). Let w be q\/(-15) + 30\/(-117). Which is the closest to -0.1? (a) w (b) 2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*w - 190 - 137 = 0, -4*w = -5*j - 542. Let r = j + 109. Sort 1\/5, r, 0.\nAnswer: 0, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - p**2 + 0*p**2)*(2 - 9 + 0)*(-378*p**2 - 432*p - 870*p + 377*p**2 - 445*p).\nAnswer: 14*p**4 + 24458*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -8. Let d = b + 3. Let w(n) = 2*n**2 - 3*n. Let g(m) = m**2 + 3*m + 47*m - 51*m. What is d*w(z) + 3*g(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from atjzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 27*w + 15. Let l(h) = 7*h + 4. Let z(f) = -4*i(f) + 15*l(f). Let q(a) be the third derivative of 0 + 3*a**2 + 0*a**3 + 1\/24*a**4 + 0*a. Give z(q(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Suppose -32*u = -141*u + 10 - 119. What is the closest to o in -4, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 - 13359*d**2\/2 - 3125701*d\/2 + 3139059\/2 = 0.\nAnswer: -231, 1, 13589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 11\/2 (b) -2 (c) 1\/4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 47.39. Let c = b - 0.11. Let x be (4\/30)\/(1\/(-5)). Is x > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-5 - -4) + -10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12281?\nAnswer: 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2659\/1040 + -24\/65. Calculate the common denominator of v and 61\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + 11) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/24 + (-18)\/18\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -36. Which is greater: i or -3\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 209932*s**2\/5 + 839752*s\/5 - 167952.\nAnswer: -2*(s - 2)**2*(s + 104970)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -556, -1290, -2318, -3640?\nAnswer: -5256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x + 113*x - 197*x + 133*x.\nAnswer: 129*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n - 1134*n**3 + 1017*n**3 + 15 - 4*n - 5*n wrt n?\nAnswer: -702*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 1 - -1 - -2) + 261 + -177 + -129?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80176551?\nAnswer: 3, 7, 13, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 54 = -4*t, 4*t = 2*h + 55 - 7. Let f(x) = 7*x + 6. Calculate the remainder when f(5) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-87))\/((-635)\/(-423545))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.194778 meters in centimeters?\nAnswer: 419.4778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1\/3, 5\/3, -0.9 in increasing order.\nAnswer: -12, -0.9, 1\/3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.1. Let s = 0.3 - 0. What is the nearest to x in 2, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*d**2\/6 - 132587*d\/6 + 11492 = 0. Calculate d.\nAnswer: -5304, 13\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j = -27*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 6, e: 4, l: 3, n: 4, b: 1}. What is prob of picking 2 l?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmeevemveeebr. Give prob of picking 1 v, 2 e, and 1 m.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfnf when four letters picked without replacement from {w: 2, s: 2, n: 2, f: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.31. Let g = m - 3.99. Which is the third biggest value? (a) g (b) 0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 602043511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 3*b**2 + 3*b + 3. Let g(d) = d - 1. Let f be g(-2). Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 5*y - y)*(3 + 1 - 1)*(1 - 2 - 9)*(-2 + 3 - 21).\nAnswer: 1800*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323233 (base 4) to base 16.\nAnswer: eef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 157. Suppose -432 = -5*j + 4*k, 118*j - 5*k = 114*j + 324. Is j at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 143 = 107. Let x be 4 + (0\/(-2))\/5. What is the third biggest value in 3, x, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2. Let d(o) = -1037*o + 2. Determine k(d(w)).\nAnswer: -4301476*w**2 + 16592*w - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 62 = 0. Suppose 791 = 10*s - 1499. Suppose -4*l = -3*n + 2*n - s, l - 5*n = y. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151.197mm in centimeters?\nAnswer: 215.1197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 604 - 580. Suppose -a - p*c + 25*c + 1364 = 0, c - 2740 = -2*a. Is a a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1013 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 9*g**2 - 10*g + 19. Let t be w(8). Let k(b) be the third derivative of -b**5\/60 + b**4\/6 - b**3\/2 + 2*b**2. Give k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532100 and 1562300?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 4, i: 7, k: 4}. Give prob of picking 2 g and 1 i.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 3*t**2 - t + 2*t**2 - 4*t**2 + 3*t**2 + 2*t**2 - 3*t**2 + 3*t**2 + (-2*t + 0*t + t)*(-t - 4 + 4) + (-t + t + t)*(-69*t - 8*t - 98*t).\nAnswer: -174*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 5*x + 3. Let d = -34 + 30. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1547 divided by -1.\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74023179*c*j*x + 1678*c*x - 154385*c wrt j.\nAnswer: -74023179*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(45) + sqrt(360)\/sqrt(8) + sqrt(45)*4*-2.\nAnswer: -18*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 32*x**2 - 117*x - 2. Let y be k(-35). Suppose -20*j + y = -18*j. What is the remainder when j is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, v: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**6 + 11*c**5 - 3*c**3 - 2443*c**2 + 2*c - 22 wrt c?\nAnswer: 1320*c**3 + 660*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 - 2*x**3 - x**2)*(-3*x**2 + 0*x**2 - 10*x**2).\nAnswer: 26*x**5 + 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -212*g**2. Let r(b) = -2*b. What is o(r(y))?\nAnswer: -848*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 3*k**5 + k**2 + 2*k**5 - k**5 - 2*k**5 + (-4 + 6*k**3 - 2 - 5*k**3)*(-2*k**2 - 3*k**2 + 2*k**2)*(2 - 2 - 2).\nAnswer: 8*k**5 - 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 552366509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/112*(-7)\/2)\/(3\/(-20))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(5\/(-75)). Sort -1\/6, 2\/11, -0.1, u, 2\/149 in decreasing order.\nAnswer: u, 2\/11, 2\/149, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -87*k + 1994. Determine q(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4705 - -4758. Which is bigger: 3\/23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let z(j) = 134*j - 212. Let q(p) = g(p) - z(p). What is the derivative of q(d) wrt d?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131403756?\nAnswer: 2, 37, 34671647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189 and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 273903212?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 3*m + 6*m - 3*m. Let o(t) = 8*t. Let v(i) = -5*o(i) + 6*y(i). Let q(p) = 2*p**2. What is q(v(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from ggqogggnqr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 6*q**2 + 4*q - 1. Suppose 0*u + 5*b - 74 = 3*u, -4*u + 2*b = 80. Let i be (-1 + -2)\/(u\/(-30)). Give o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4768707 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.4 - -11.4. What is the biggest value in -1\/5, -28, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 223 = -3*q + 239. Determine h, given that 2\/3*h**q + 20\/3*h + 50\/3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/(14 + -12))\/(30\/(-540))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 2. Calculate the remainder when 16 + -8 - (-6*(-5)\/10 - 7) is divided by n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + 0*r - 6*r + (4 - 6 - 4)*(-r + 10 - 10).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 - 190. What are the prime factors of -2*(o + -5 - 6)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16720 is divided by 4179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.773756 decades to months.\nAnswer: 92.85072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 0*i**2 - 3\/28*i**4 + 0 - 1\/70*i**6 - 3\/35*i**5 - 28*i + 0*i**3. Factor l(n).\nAnswer: -3*n**2*(n + 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-12)*(112\/(-21))\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 3*c + 4. Let j be (45 - 44)\/(2\/8). Calculate t(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - n - 1. Give l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9381*g**6 - g**2 + 1171.\nAnswer: -1125720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -5)\/((-2)\/12). Let r(f) = -4*f + 6. Let p(y) be the second derivative of 7*y**3\/6 - 11*y**2\/2 - 2*y. Let i(t) = k*p(t) - 11*r(t). What is i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(4\/9)\/v)*v*v*(v\/v**(-1\/11))\/v*(v\/(v\/(v*v\/v**4*v)))\/(v\/(v*v**(7\/5)*v)) assuming v is positive.\nAnswer: v**(2498\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 a factor of 3694219367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:43 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24403676, 24403674, 24403672?\nAnswer: 24403670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 58. Let r be (1*20\/m)\/(4\/10). Solve r*u - 2 = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**3 - 47*q**3 + 509 - 511.\nAnswer: -18*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*m**3 + 4*m + 387*m**3 - 51*m**3 - 2*m to r*m + s*m**3 + d + l*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:51 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -1120. Suppose 30 = 1025*h - c*h. Suppose 0*u - 4*f = u + 15, -3*f = 12. Solve 3*t = h*r + u + 3, -4*r = 2*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3594007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -3*z. Let b be (8 - 2)\/(6\/z). Suppose 3*g + 3*o - 32 = o, b*o + 46 = 5*g. 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: Calculate prob of picking 1 e, 1 b, and 2 y when four letters picked without replacement from {d: 1, y: 2, b: 3, w: 2, q: 1, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/64*(12960\/(-400))\/27.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3689 = 49*l - 3347 - 2988 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + -1*sqrt(1008))*6 + -2 + -2*sqrt(1008) + 0)*-4)**2.\nAnswer: -67584*sqrt(7) + 1039936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.03 + 10. Let r = 0.07 - m. Let b = r + 0.1. Put -3\/4, -1\/2, b in decreasing order.\nAnswer: b, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 1189*p**2 - 61659*p\/4.\nAnswer: -p*(p - 4743)*(p - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4559*w**4 - 2*w**3 + 23257*w wrt w?\nAnswer: -54708*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -19. Let h = 3 - -2. Solve r = h*f - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 25, 1617, -21 in descending order.\nAnswer: 1617, 25, -0.3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(11\/5)\/(s*(s**(-5\/6)\/s)\/s*s*s**(1\/3)))**(-14\/9) assuming s is positive.\nAnswer: s**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 617850 and 1200?\nAnswer: 4942800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*k - k. Suppose 0 = 3*d - k. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w**2 - 130*w - 45. Calculate h(4).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-6 - (13 - (19 + -3))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.292182 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/36*(-35)\/49*4970\/(-175)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = 8. Let c(j) = j + 15. Let a be c(-9). Sort a, -5, -2, n in descending order.\nAnswer: a, -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*h + 1176 = 192*h. Let 0*v + 0 - 64\/19*v**2 + 2\/19*v**h = 0. What is v?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a - 7. Let f be z(2). Let 6*r + r**4 - 8*r**3 + f*r**2 + 0*r**2 + 8*r - 16 - 6*r = 0. Calculate r.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:16 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324219 divided by 108073?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 14*m**2 - 8*m + 62. Let o be v(-13). Let d(n) = -29*n**3 - 3*n**2 - 1 - 11*n**3 - 3. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13654.9 - -15097. Let i = b + -1378. Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11073.\nAnswer: 3, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(228)*1 + sqrt(228) + sqrt(228) + -4*sqrt(228)*1)\/(sqrt(972)*-1 - 1*sqrt(192))*-1.\nAnswer: -18*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-74 - (2 + 25 + -29))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 - (4 - 3)) + -34 + 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006348491 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879.812412*-2.\nAnswer: -1759.624824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*m + 1, -13*j + 5*m + 91 - 135 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 26) - (18 - 37).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110111111010111101?\nAnswer: 110111111010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60239978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -120302?\nAnswer: 120332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -173, -175?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.2 + -56. Put -0.4, k, -1\/2, 0.5 in descending order.\nAnswer: 0.5, k, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -39, -95, -191, -339?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(-135)\/(-18). Let s(w) = w - 1. Let u(g) = 2*g - 1. Let k(a) = 8*s(a) - 5*u(a). Give k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 523412 and 55309?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -8*m. Let n(t) be the third derivative of 0*t**3 + 0 + 2*t**2 + 1\/90*t**5 + 0*t**4 + m*t + 1\/315*t**7 + 1\/90*t**6. Suppose n(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = w - 9, 0*h + h = 3*w + 3. Let o(n) = -6 - h - n + 2*n + 6 + 0. Let r(j) = -6*j + 14. Give 14*o(s) + 3*r(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - 4*j - 3*j**3 + 2*j - 5*j**2 + 11 - 2. Let r be h(5). Suppose -v = -4*g - 97, -3*v = -0*v + 2*g - r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/((-5)\/10))\/(-1). Let s(a) = -3*a + 8. Let t be s(m). Solve -3*n + 9 = 3*i - 0*n, t*i + 4*n = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 373*q**3\/2 + 34595*q**2\/2 - 34969*q\/2.\nAnswer: q*(q - 1)*(q + 187)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2777, -2629, -2481, -2333, -2185?\n\"Answer: 148*l - 2925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25148615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3649 = -607*b + 486*b + 1191 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3504, 1088, 6 in ascending order.\nAnswer: 6, 1088, 3504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqvq when four letters picked without replacement from {v: 2, q: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50105143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.3, -100, 13\/9?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208793?\nAnswer: 13, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((-1*-1*1*sqrt(99))**2 + (-1 + sqrt(44) - (-1*sqrt(539) + sqrt(11) + sqrt(11)))**2)*-4.\nAnswer: -5112 + 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1722?\nAnswer: 688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2609, 5219, 7829?\nAnswer: 10439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 16*l**2 - 20*l - 15. Let r be x(-9). Suppose -o = -r*m + 400, -m + 18 = -4*o - 108. Calculate the lowest common multiple of 20 and m.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(684) + sqrt(19) + 5)*-1.\nAnswer: -7*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + r + 239, -3*p + 4*r + 149 = 2*r. Let h = p + -62. Let d = -31\/2 - h. What is the nearest to d in -0.01, -3, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309982 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(9)\/sqrt(3)))\/sqrt(704).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011743305 rounded to six decimal places?\nAnswer: 0.011743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 715769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 - v**3 + 5*v**3 + (v**2 + 2*v**2 - 2*v**2)*(0*v + 0*v + 2*v) + (-2*v**2 + 3*v**2 + 0*v**2)*(2*v + v + 7*v).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 136 in 3\/5, -0.11, 2, 0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -246b + 956c?\nAnswer: 7101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61270047, 61270045, 61270043, 61270041, 61270039, 61270037?\nAnswer: 61270035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a4 + 2?\nAnswer: 20a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 3*(-55)\/90. Which is the smallest value? (a) -0.03 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125641008 by -72.\nAnswer: 1745014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 7*c + 114*c**2 - 111*c**2 as z*c + y*c**2 + o and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15908 and 139892.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a (base 14) in base 2?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 13. Let j(g) = -7*g. Let i be j(-1). Let q(c) = 6*c**3 - 7*c**2 + 3. Let f(z) = 2*z**3 - 2*z**2 + 1. Calculate a*q(y) + i*f(y).\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v**2 - 6*v - 9. Let u(t) = -16*t**2 - 11*t + 6*t**2 - 23*t**2 - 18 + 2*t**2. Let w(p) = 11*s(p) - 6*u(p). What is the derivative of w(a) wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + 2 - (44 + -48)) - -27.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 292, 735, 1568, 2911?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39192 and 143704.\nAnswer: 431112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (-3 + 23) - (-837 - -708)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*j - 4, 17 = 3*j - y + 4. Suppose j*b + b - 88 = 0. Calculate the smallest common multiple of b and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 209?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) - 1199\/33. Let b = -112 - -77. Is l >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 103*l - 19. Let p be n(2). Let o = 567 - p. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**3\/3 - 11*t - 6354. Let r(m) = m**3 - m + 10. Let u be r(0). Calculate the remainder when d(u) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 + -52. Let o = 116.98 - p. Let l = -1.019943 - o. What is l rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. What is the units digit of g(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -242166, 3, -3\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580293 is divided by 116058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1138800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y. Let c(r) be the third derivative of 1\/60*r**5 + 1\/2*r**3 - 1\/24*r**4 + 0 + 0*r - 1\/120*r**6 - 3*r**2. What is c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196447090.\nAnswer: 2, 5, 7, 2806387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - 2*d**2 - 5*d + 2. Let r(y) = 8*y**3 + 5*y**2 + 9*y - 5. Let b(i) = 5*a(i) + 2*r(i). Find the second derivative of b(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + i + i**3 - 3*i + i**3 in the form b*i**2 + y*i + v + s*i**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8107628 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-12) - 33\/1764. Let g = -153\/539 - v. Let r = -19 + 19.4. Sort 2\/11, r, g in ascending order.\nAnswer: g, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let a(t) be the first derivative of 29*t**3\/3 - 13*t**2\/2 - 115. Determine u(a(k)).\nAnswer: 58*k**2 - 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) 4 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 0.2, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -50 + (2 + -2 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/30 + d**4\/6 + d**3\/3 - d**2\/2 - 4*d. Let x(j) be the first derivative of r(j). Let x(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111100111010110101?\nAnswer: -1111100111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:19 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-849)\/66)*385\/(-10).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 + x**2 + 4*x + 3. Let k be f(-1). Suppose 8*t = k*t + 4. Suppose -7*z + 29 = t. Solve z*a - 2 = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/48 + -3)\/(10\/(-45))*9?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -90*r**3 + 3*r**2 + 3*r + 1. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -172*p - 7. Let i(x) = -861*x - 29. Determine -2*i(u) + 11*q(u).\nAnswer: -170*u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/10 and 77\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 3*q**2 - 2*q - 30. What is the remainder when r(-7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 20 = -5*i - 6*f, -3*f = 3*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o + 9. Let c be k(0). Let h = -5 + c. Let n be -1 + (0 + 1)*1. Solve h + n = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 926*f**3\/9 - 88892*f**2\/9 + 1354354*f\/9 + 5852\/9 = 0. What is f?\nAnswer: -2\/463, 19, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 15*m - 42*m + m**3 + 15*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94027?\nAnswer: 17, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9 = -115*b + 116*b, -2*d + 153 = 17*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(208)*-1 - (-5 + sqrt(208)*2))**2*-6*3.\nAnswer: -5760*sqrt(13) + 120708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 80*d - 30. Calculate x(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 148741573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18 + 2\/264*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 4*-2*sqrt(102)) + -2*sqrt(102)*-3)\/(2*sqrt(486)*-6 + sqrt(486)).\nAnswer: -5*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 522053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 459494 and 4?\nAnswer: 1837976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/28)\/(9\/7 - 1). Solve -3*y = z - g, -y + 15 = 2*y - 2*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -6 + 7 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = 4*h - h, 3*o - 3*h = 15. Let l(s) = s**3 + 4*s**2 - 7*s - 6. Let w be l(-5). Suppose 0 = 5*j - j - w. Sort 0, j, o in descending order.\nAnswer: o, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*19\/(475\/50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2596818 divided by 3.\nAnswer: -865606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4950368*f**5 - 628*f**2 + 1269 wrt f?\nAnswer: -297022080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*g**5 - 315*g**3 - 1488*g - 24 wrt g.\nAnswer: 2820*g**3 - 1890*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 60897878*h\/3 - 60897884.\nAnswer: 2*(h - 3)*(h + 30448942)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 617 + -612. Suppose -5*g = -5*a - 17 + 272, 0 = q*a - 4*g - 257. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4887 + 195 = -12*p. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*p + 31, 2*j = -j - 5*p + 35. Solve j*z - 12 = -32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2 - 14*k + 31*k - 14*k. Suppose 2*q + 3 = 3*q. Suppose -4 = -h + q*h. Determine p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -4 (c) -17716266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1139, 9400, 31957, 75986, 148663, 257164, 408665?\n\"Answer: 1196*c**3 - 28*c**2 - 27*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1921 divide 781701004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3\/3 + 12317696*p**2\/3 - 24635428*p + 36953160 = 0.\nAnswer: -3079430, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 916, 21, -107, 1, -2 in decreasing order.\nAnswer: 916, 21, 1, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from msssssmm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1974 + 2769. What are the prime factors of t?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x**2 + 1738*x - 448. Determine i(115).\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqfftnfnfq. Give prob of sequence ffn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**3 + 440484*f**2 + 5387412301*f - 53918180410.\nAnswer: (f - 10)*(3*f + 73429)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2724608 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-156)\/16 - (-1)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3098, -24916, -84140, -199472, -389614?\nAnswer: -673268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 84*t - 842. Let r be d(10). Sort 0, r, 3, -3 in ascending order.\nAnswer: -3, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 2*m - 6. Let v be s(8). Differentiate l + 19*l - 24 - v + 25 with respect to l.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15137, -30181, -45225, -60269?\nAnswer: -75313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 + 5*v - 27. Give o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 30*u**2 + 13. What is f(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 - -9) + (-8)\/(-1). Let k = 109 + -73. Determine g, given that -4*g**4 - k*g**3 + 4*g**m + 36*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*(9\/18 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:11 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16849085209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2.3 (b) 5 (c) 0 (d) -0.01 (e) -28\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50097 is divided by 432.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -1103?\nAnswer: 88\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 9*i**2 + i + 11. Let c = -10 - -19. Let s be j(c). Calculate the greatest common factor of 160 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 2 - -7) + (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20012203202 (base 4) to base 13.\nAnswer: 594a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 5, -30 in increasing order.\nAnswer: -30, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24594615 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*x - 10, -d - x - x + 1 = 0. Let u(t) = -4*t + 3. What is u(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85386711 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 r(f) = -f**2 - 20*f + 1. Let g be r(-20). Let z be (-21)\/(-14)*1*g\/2. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94891, -189790, -284689?\nAnswer: -379588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 163.4, -1\/3, -6?\nAnswer: 163.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 8*s + 28. Let m be g(10). Let u = -5 + m. Which is the second biggest value? (a) -5 (b) 2 (c) u (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 4*y - y + 2 - 1.\nAnswer: 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 + 2*h**2 - 6*h + 50. Let t(w) = -12*w**3 + 4*w**2 - 11*w + 83. Let o(b) = -5*a(b) + 3*t(b). Determine o(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyqi when four letters picked without replacement from iyiyyiiiyyiiiyqyy.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 2242 = 2838. Solve 0 = -7*i - b + 85 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 824, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*p**2\/2 + 10775*p\/2 - 770.\nAnswer: 5*(p + 308)*(7*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 116. Let i = -28 - j. Suppose -4*u + 4*x + i = 0, 2*x - 39 = -4*u + 3*x. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5937, 11945, 17963, 23997, 30053?\nAnswer: 36137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/41 (b) 1\/4 (c) -3\/2 (d) 53 (e) -49 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 + 19*x**3 + 0*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14324.638 times 0.06\nAnswer: -859.47828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(70) - (sqrt(70) - (sqrt(70)*1*-3 - sqrt(70))))\/(sqrt(10) + sqrt(70)\/(sqrt(7) - (sqrt(7) - sqrt(252)) - sqrt(7)))*2 + -1.\nAnswer: -1 + 100*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - 6. Let s(j) = -2*j + 1. Let n(y) = -9*y + 4. Determine u*s(b) + 6*n(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960\/(-476) - (5 + -24)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1879 + -1879.03. Sort 1\/33, f, -3, -4.\nAnswer: -4, -3, f, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.2609016 to the nearest ten.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -6 + (-3)\/(-1). Let n be (-103)\/3 + u\/(-6). Let a = -7 - n. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22647 + 22647.3. Let r be (-222)\/91 + (-2)\/(-7). Let f = r - -114\/65. Is w at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(25\/50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b**2 - 5351*b + 24992 = 0.\nAnswer: 71\/15, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {o: 1, t: 7, i: 1, l: 7, e: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*n + 22, -d + 5*n = 4*n - 42. Let c = d - 32. Solve a = c*q + 3, -2*q - a = 2*a + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112.182 + 111.6. Round l to two dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1738 + -1728. Is 73\/7 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4987787 divided by 37.\nAnswer: -4987787\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = 6*d + 473. Let c = 499\/3 + d. Factor c + 1\/3*n**5 - 1\/3*n**4 - 5\/3*n**3 + 1\/3*n**2 + 8\/3*n.\nAnswer: (n - 2)**2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 55453188?\nAnswer: 221812752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -119269 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 631113*n**2 + 2524413*n + 1893303.\nAnswer: 3*(n + 1)*(n + 3)*(n + 210367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 212*t - 5*t**4 + 1 + 212*t to x*t + s*t**2 + m*t**3 + u*t**4 + d and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*k + 40 = x, -x = 3*k + 26. Let c = -7 + 4. Let i be c - (3 + (x - -2)). Solve z + o = -i, -2*o = 5*z - 0*z + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 7) + -9 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -4505*u**4\/6 - 273*u**2 + 4198*u. What is the first derivative of r(t) wrt t?\nAnswer: -18020*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1167 + -1160. Let w(u) = 10 - u + 2*u**3 - 2*u**3 + u**3 - 7*u**2. What is w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20242 - 1303. What is the highest common factor of g and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 - 11 = 0. Let j be 2\/8 + 369\/m. Let r = j - -139. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16122492.3619 + -0.2.\nAnswer: 16122492.1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 5*(-6)\/(-60)*-8. Solve -g*o - 14 = 2*j, o + 0*o - j + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 302322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 22. Suppose o + 2*k - 1 = 0, 4*k = -x*o + 2*o + 9. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/9 - 4*l**3\/3 + 14*l**2\/3 - 52*l\/9 + 7\/3.\nAnswer: (l - 7)*(l - 3)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**2 + 1703*z + 1134 = 0.\nAnswer: -567, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646 is divided by 192.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 4.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t - 3. Let g be j(-4). Let h = -2 - g. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1 + -3.\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k**2 + 250*k + 32. Is s(-10) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -18*k**3 - 2*k**2 - k. Let r = -13 + 12. What is the remainder when 65 is divided by x(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/104, -13\/11, -1?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325*g**5 - 13335*g**4 - 459243300*g.\nAnswer: -6500*g**3 - 160020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 19.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 + 1 + -1. Let u = 0 + 0. Let d(v) = -v + 1. Let q be d(u). Put 5, a, q in ascending order.\nAnswer: q, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 1\/11*n**2 + 0*n - 2 - 2\/33*n**3. Solve r(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 360*f**2 + 416*f + 19862. Calculate b(-361).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.65437 years to decades.\nAnswer: 4.365437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.35110847 less than 3?\nAnswer: -10.35110847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 21 (b) 0.4 (c) 0.06 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 941*-52\nAnswer: -48932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 - 8*a + 3 + 4*a**2 - a**3 + 0*a**3 - 5*a**2. Let q be s(-7). Suppose 0*b = -2*b + q. What is the greatest common divisor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 56. What is the remainder when (0 - (-4)\/6)*99 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488678 + -232839. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/12 + 8)*18. Solve a*c + 5 = 41 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 4. Suppose w*p = 2 + 14. Solve 10 = -4*z + p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339031.\nAnswer: 7, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -473251.3 rounded to the nearest 1000?\nAnswer: -473000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 21. Let j = d - 7. Factor t**2 + 0*t**3 - t**4 + j - 1\/2*t**5 + 1\/2*t.\nAnswer: -t*(t - 1)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -1)*(-9)\/(-2). Let k(z) = z**2 - 9*z + 3. Let l be k(q). Factor -5*g**3 + g**l + 6*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/((-460)\/(-8)))\/((-159)\/(-15)). Which is bigger: -21 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.044, 5 in decreasing order.\nAnswer: 5, 1\/6, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, -34734, -2.\nAnswer: -34734, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(50) + sqrt(1250) - (sqrt(162)*-4)**2) + -4.\nAnswer: -2596 + 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8558 is divided by 4073.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 35, 1\/16, -0.081?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30857400 and 632?\nAnswer: 30857400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b5 (base 15) in base 8?\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, r: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 324 = -371 + 575. What is the highest common divisor of k and 4415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((24 + 0)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7046*q**3 + 1. Let x(y) = -3525*y**3. What is -2*w(i) - 5*x(i)?\nAnswer: 3533*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*q + 4*d, -4*d + 0*d = 3*q + 11. Let j be (-2 - 4) + 624\/88. Factor -2\/11*v**4 + 10\/11*v**q + 16\/11 - j*v**2 - 8\/11*v.\nAnswer: -2*(v - 2)**3*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) + sqrt(95)*-1 - sqrt(95) - sqrt(95))*6*2)\/(5*-2*sqrt(80)*6).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*l**2*p**2 + 13*c*l**2*p - 2*c*l*p**2 + 3*l**2*p**2 + 5*l - p**2 wrt l.\nAnswer: 6*c*p**2 + 26*c*p + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -9987 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.882*0.0501.\nAnswer: -0.2946882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 282\/3*7\/14. Let u = t - 45. What is the second derivative of -14*n**2 - 10*n**2 + 7*n**u - 5*n - 12*n wrt n?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100906 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-20))\/((36\/16)\/9)*(-2483)\/(-573)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81\/972 + 2\/12. Solve 0*m - 1\/4*m**3 - h*m**2 + 1\/4*m**4 + 1\/4*m**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4112\/17 - 242. Suppose -70*i + 708 - 143 = -65. Which is the nearest to -2? (a) x (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*h*k*p - 21*g*h*p - g*h - 76170*h*k*p - 34*k*p + 224388*p wrt k.\nAnswer: 2*g*h*p - 76170*h*p - 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-28))\/(120\/84)*480\/1504.\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 21*y - 2. Let j be 12\/30 - 412\/(-20). What is p(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 3*y**2 + 137 - 2*y - 3*y - 132. Let h = 5 + -10. Determine b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88744\/8876 + -7 - 3. Let b = m - -377242\/6657. Is b less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5350.37 rounded to the nearest ten?\nAnswer: -5350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2051.4 - 1877. Let s = -212 + t. Round s to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -16. Suppose k*f = 3*a - 7, 4*f - 2*a = -0*a - 2. Suppose -2 = 3*s - 4*d - 39, -f*s + 5*d = -20. Calculate the greatest common divisor of 75 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13308771*h + 1452 = 13308749*h for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-5)*m*m*m\/(m\/(m*m**(-6)*m))*m*m\/(m**(2\/9)*m)*m\/(m\/((m**(-3)*m*m*m)\/m)) assuming m is positive.\nAnswer: m**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3086 - 0.45048.\nAnswer: -0.14188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.57687?\nAnswer: 0.230748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 327*y - 6173. Let z be g(19). Solve 20*a = 15*a + z for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 1. Let a(o) = 13*o + 3. Let b(v) = a(v) + 6*i(v). Let g(q) = -q**3 - q**2 - q - 2. Let s be g(0). What is b(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -4*j**7\/105 + j**6\/24 - 91*j**3\/2 - j**2 + 111. What is the derivative of v(i) wrt i?\nAnswer: -32*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.4 + 22. Let q = f + -2. Let c = q - -10. What is the second smallest value in c, 4, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 801, 2\/9, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 31. What is the biggest value in h, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-m - 2 + 2) + 14675 - 14676 + 52*m - 155*m to the form n + a*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 0) - (5 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34367719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*f, 11*m - 16*m - 3*f = -2*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 9, 18, 27, 36?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = -w. Let q = 8 + w. Let s be (-12)\/9 - 28\/6. Sort q, 1, s in descending order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + ((-22268)\/15)\/4. Let m = w + 372. Let f = 89\/24 + -35\/8. What is the third biggest value in m, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*k, -3*g - k - 4*k + 697 = 0. What is the highest common divisor of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/5 + 4234812*i**2 + 84696192*i\/5 + 84696176\/5 = 0.\nAnswer: -5293511, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -43. Let u(v) = -2*v**2 + 17*v - 15. Suppose -15*r = -11*r - 24. Let y be u(r). Calculate the highest common divisor of y and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.077 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19 - 106 + 131*i - 68*i - 74*i + i**2 + 7.\nAnswer: (i - 16)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -464, -1514, -3556, -6920, -11936?\n\"Answer: -55*u**3 - u**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1)*3 - -2. Suppose 8 = q + 5. Suppose -u*o + q*o = -16. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 11*q + 30 = 0. Let z = q - 4. Solve -2 = -z*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848 is divided by 2379.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + 0 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065646554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66462 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74927033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 - 277 = 41*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1350.\nAnswer: 21600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*k + 4*b, 0*k - 4*k - b = -73. Let w = k - 14. Solve 0 = -4*t + w*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r. Let t(q) be the third derivative of -q**6\/180 + 7*q**3\/3 + 13*q**2. Let y(u) be the first derivative of t(u). Determine w(y(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -29. Suppose y = -3*f, -5*f = -4*p - 924 - 5651. Let t be 7\/(126\/(-240))*p\/(-4). What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 10*r**2 - 8*r - 4. Let k be y(-4). Which is the third smallest value? (a) -0.2 (b) 2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2 - (-4 + -54)) + (-19 - -5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + q - 315 + 20*q - 486.\nAnswer: 15*q - 801","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 11*j**2 + 46*j - 560 = 0.\nAnswer: -7, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 90, 3, 0 in ascending order.\nAnswer: -43, 0, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*c + 5*c = -22, 35 = 5*z - 5*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/322176 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 15. Suppose 7 = 4*l - i, -3*i + s = l - 0*l. Solve -l = 3*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + -19480?\nAnswer: -19479.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*o + 28*o - 24*o + (o - 3*o + o)*(-3 + 1 + 1) in the form a + x*o and give x.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2109234903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406 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: Let v(f) = -4*f + 1. Let z(x) = 14*x - 3. Let q(d) = -3*v(d) - z(d). Let j(w) = -29*w - 1. Determine q(j(y)).\nAnswer: 58*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 52. Let p be y(10). Suppose -p*o + 340 = -288. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/27257166 and 13\/243912.\nAnswer: 109028664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + u - 4*u + u + 0*u - 3*u + (0 - 1 + 3)*(-u + 2*u + u) + 3 - 2*u + 4*u + 0*u + u + 2*u - u.\nAnswer: 7*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 990*s**4 - 73*s**3 - 178632*s + 7?\nAnswer: 11880*s**2 - 438*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.060625 to three decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + 2 - sqrt(11))*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128\/3 - 431\/9. Find the common denominator of (-1)\/34*(181 + -199) and y.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 - 2*s - 3. Let x(u) = -3*u**2 - 2*u - 2. Suppose 0 = -2*d + 6. Suppose -2*z - 2 = -d*z. Give z*a(r) - 3*x(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**5 - 330*g**4 - 1025*g**3 - 690*g**2 = 0.\nAnswer: -2, -1, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 - 5*g**3\/3 - 3*g**2 - 4*g - 4. Let z be n(-5). Let j = z - -15. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 763, 1056?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 883902290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 181*v + 8994. Calculate the smallest common multiple of a(0) and 22.\nAnswer: 98934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 36958 = -14*i + 100439. List the prime factors of i.\nAnswer: 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*j**4 - 5*j**4 - 6*j**4)*(-j - j + j).\nAnswer: 33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 110531.\nAnswer: -11053.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01468449209 to five decimal places.\nAnswer: -0.01468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 9*q - 49. Determine o(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, m: 2, d: 3}. What is prob of sequence ddmh?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.335 + 0.3350278. What is q rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10957 - 10908 = -7*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/675)\/(48\/60)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-40))**(-45)*(((o*o\/(o**42\/o))\/o)\/o*o)**(1\/11))**31 assuming o is positive.\nAnswer: o**(597215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(768) + ((sqrt(27) - sqrt(972))*-1)\/sqrt(9))**2 + -5)*-2.\nAnswer: -2668 - 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-6*(-2)\/6. Suppose 0 = -0*b - o*b. Suppose -p + 4*p - 18 = b. What is p rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8620, -11079, -15162, -20857, -28152, -37035, -47494?\n\"Answer: 2*k**3 - 824*k**2 - k - 7797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**4\/24 - j**3\/6 - 5*j**2. Let n = -6 - -10. Let o = n - 3. Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13100643 is divided by 66840.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 30*z - 96. Give y(-25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3\/8, 5, 2\/5, 8.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 15. Let b be n(-3). Let a(q) = -4*q + 6. What is a(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200323 (base 4) to base 11\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/39, 0.056, 5\/2, -165?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29b19 (base 13) in base 8?\nAnswer: 231670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5135 and -163\/185250?\nAnswer: 14634750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**7\/5 + 11*r**5\/30 + r**2 + 71*r. Find the third derivative of m(z) wrt z.\nAnswer: 1008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -37. Let u be (-2 + 2)\/(2 - (q - -1)). Suppose u = 2*c + 4*i - 26, -c - 2*i = -5*i - 33. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, y: 1, m: 7, i: 3}. Give prob of sequence yi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30090)\/(-21063))\/(2\/168).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25523 divided by 1374?\nAnswer: 25523\/1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 9*w**2 - 109*w - 1156. What is a(-10)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43 - ((-10)\/1 - (348 - 332))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -4*w - 6*p + 92, 3*p - 132 = -5*w. What is the units digit of (-44)\/w*-9*(-928)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (13 + -9) - (0 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13331691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c**3 - 5*c**2 - 26*c + 161. Is w(11) a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.57 (b) 0.4 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-165))\/4)\/((-42)\/(-105)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**5 + 85*l**4 + 1515*l**3 + 6235*l**2 + 8290*l + 3480 = 0.\nAnswer: -6, -4, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9716 and 4.\nAnswer: 9716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384384 and 20790.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 9\/52, -10, -6, 0.3, 4\/9?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aioi when four letters picked without replacement from iaioiiioioojijjioaii?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 5*f + 3*a - 29, -a = -3*f - 199. Let r = -19 - f. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l + 5. Let i = -18716 - -18718. Factor 6\/13*t**5 - 4\/13*t**l + 0*t**i - 2\/13*t**3 + 0 + 0*t.\nAnswer: 2*t**3*(t - 1)*(3*t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4460868 and -55\/69886932?\nAnswer: 209660796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -790332*w**2 + 209443*w wrt w.\nAnswer: -1580664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 2*u**2 + 0 + 0*u + 1\/60*u**6 + 1\/12*u**4 + 0*u**3 + 1\/15*u**5. Factor h(j).\nAnswer: 2*j*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 12*j**2 - 14*j + 14. Let h be z(-11). Let r = h - 45. Solve r*u - 5 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 2*z**2. Let t be u(-2). Solve y - 3 + 0 = t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, -204, -250, -258, -228?\n\"Answer: 19*g**2 - 141*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2753 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44276 - 119\/(-51)*(-24)\/56 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*a - 9108, 301 = 4*a - 4*n - 8823. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2202 divided by -26278\nAnswer: -1101\/13139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -777368\/382899 + -1\/11603. What is the common denominator of -31\/9 and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qisqwibwqizz. Give prob of sequence qwws.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = h - a - 2, -1 = -a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4*p + 12*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 41929 to the nearest one hundred.\nAnswer: 41900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 12*g**3\/7 + 51705*g**2\/7 + 2996559*g\/7 - 7445562 = 0.\nAnswer: -16999\/4, -73, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240.4 + -233. Let h = w - 7.8. Which is the second biggest value? (a) h (b) 0.2 (c) 0 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzyyzzyyyy. Give prob of sequence zzy.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6127508304 minus 10?\nAnswer: 6127508294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + -10 + 11. Suppose 185 + 52 = m*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*m*y**2 - 1221129*f**2*s**2 + f**2*s + 2*f*m*s*y + 72*f*s + 2*f + 4*m*s**2 + 21*m*s + s**2*y**2 + 1465*y wrt s.\nAnswer: -2442258*f**2 + 8*m + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -518\/11 in 1\/2, -6\/5, -3806?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1 + (4 - 0). Let b be 1\/(-3) + 67\/d. Calculate the highest common factor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 19*i + 65 = -10*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgtggtfftgtgtgtt. Give prob of sequence ggt.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/((-14)\/(-2)) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.3, -2, 1\/3.\nAnswer: -30, -2, -0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 5. Let i be h(10). Let o be 18\/i*20\/(-6). Is ((-4)\/(-6))\/(o\/150) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11658 divided by 52.\nAnswer: -5829\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 203*f**3 + 7*f**2 + 7*f + 6121. Let v(x) = 206*x**3 + 7*x**2 + 6*x + 6127. Let t(r) = 4*g(r) - 5*v(r). What is the derivative of t(u) wrt u?\nAnswer: -654*u**2 - 14*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 3 + 0 + 2. Suppose 5*p - o = 16, -2*p + 5 = -2*o - 3. Let x be t(p). Solve x = 4*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s + 6. Let d(m) = -2*m - 2. Let k(o) = -11*o + 2. Let j(f) = 2*d(f) - k(f). What is 7*j(x) + 6*y(x)?\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 + 96. Let o = -1\/8191 - -450567\/507842. Find the common denominator of o and 0\/8 + x\/(-24)*-6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i**2 - 19. Let g(t) = 54*t**2 - 50*t + 25. Let h(a) = -13*a**2 + 12*a - 6. Let d(k) = 6*g(k) + 25*h(k). Determine d(b(p)).\nAnswer: -529*p**4 - 874*p**2 - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2599.17 + 2599. What is the closest to -1 in 1.5, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 73*a**2. Let f(o) = 38*o**2 + 0*o**2 - 36*o**2. Determine l(f(k)).\nAnswer: 292*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15466 + 6951. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 + 101 = -80*l + 81*l. Calculate the remainder when l is divided by 214.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/9 + h\/3 + 2\/9 = 0 for h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 3) + (14 - 13) + -15 + 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 4. Let m be u(3). Let b be (-815)\/(-35) - (-2)\/m. Suppose -h - 4*w + 23 = 0, 3*h + 2 - 1 = 2*w. Solve -5 = -5*s - 5*x, 4*s - 9 - b = h*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c - 7. Suppose -13 - 7 = -5*p. Let l be h(p). Let t = l + 113. Solve x = -x + t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 108 + -12 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 - 571*b**2\/4 - 289*b\/2 + 858 = 0 for b.\nAnswer: -3, 2, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let y = 4 - 1. Let l(f) be the third derivative of 0*f + 0*f**y - f**2 + 0 + 0*f**4 - 1\/30*f**5. What is m(l(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgo when three letters picked without replacement from {o: 5, g: 2, v: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*i + 84020 - 111586 for i.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + (-5650)\/(-175))*-7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.4 + -11. Let q = o - -0.60248. What is q rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.24 + -1.24. Let n(j) = -j**2 - 5*j - 3. Let o be n(-2). Suppose 3*r - 2*r - o = 0. Which is the closest to r? (a) 2\/3 (b) -0.05 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**3 + s**2 - 109*s - 4. Let o(t) = 43*t**3 + 5*t**2 - 327*t - 14. Let z(q) = 7*k(q) - 2*o(q). What is the second derivative of z(x) wrt x?\nAnswer: 72*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*1*(-20)\/10. Let v = o + 10. Suppose -3*q = -d + 3*d - 29, v*q - 30 = -2*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/28)\/((-3)\/(273\/(-52))).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*w + 3*w + 230 = 0, 228 = 4*q - 2*w. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -24.7. Let z = 24.09 + j. Sort 4, z, 1 in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -132*u**2 - 27 + 45 - 19 - u + 131*u**2. Let a(b) = -8*b**3 + 6*b**2 + 6*b + 6. Give -5*a(x) - 30*r(x).\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*133\/((-1654653)\/(-66))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22552693?\nAnswer: 17, 73, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -40\/19, -3\/8, -0.00565?\nAnswer: -40\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32135, -32146, -32157, -32168, -32179, -32190?\n\"Answer: -11*k - 32124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -95*h**3\/6 + 4*h**2 - h - 79. What is the remainder when u(-2) is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 5520. Is 16 a factor of ((-34)\/8)\/((-23)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*l + 53640, 12*l - 53668 = 7*l + i. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33280349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m + m)*(m**2 - 107*m + 107*m + 2).\nAnswer: 3*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/19 + 10356*g + 254710998 = 0.\nAnswer: -49191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44777991 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.58 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(75)*2 - sqrt(75)) + 5 - (sqrt(75) + (sqrt(75) - (sqrt(75) + (sqrt(75) + 0)*-1 - sqrt(75))))))**2*-2.\nAnswer: -5850 + 1800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, -24.0756, -0.6, -1\/6 in decreasing order.\nAnswer: -1\/6, -2\/5, -0.6, -2, -24.0756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*p, -4*p + 5*g + 14 = 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2505 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 9*v + 1. Let l(y) = y**3 - 9*y**2 + y + 2. Let o be l(9). Let u be 3 + -2 - o\/1. What is the units digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = 2*p + 17, 4*p - 12 = -4*z. Which is the third biggest value? (a) 0.1 (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1373*a**3 - 2*a**5 - 2*a + 13*a**2 + a**5 - 2*a - 1238*a**3 wrt a.\nAnswer: -60*a**2 + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmtgmiiputpi. Give prob of sequence uti.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/14 - (-23)\/((-805)\/(-220940)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -2, -5, -18, 4 in decreasing order.\nAnswer: 4, 3, -2, -5, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + 4 + -5 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 912614.5 years?\nAnswer: 10951374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1720 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnqlnhlhhqql. What is prob of picking 1 l, 2 h, and 1 n?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2053878 and 318?\nAnswer: 108855534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-217)*(3 - 234\/99).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14140 and 155540?\nAnswer: 155540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o = 2170 + 84 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/313056 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 times 3.5943?\nAnswer: -0.2192523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u - 19. What is the least common multiple of 24 and p(5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 591, 600, 601, 594, 579?\n\"Answer: -4*o**2 + 21*o + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 157971415 divided by -3?\nAnswer: -157971415\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:35 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 16, 1787 in decreasing order.\nAnswer: 1787, 16, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -143680527 at least -143680527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 2*k**2 + 4*k + (-10*k + 4*k - 11*k)*(2*k + 1 + 1 + 0*k) as s*k + c + u*k**2 and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 1828*m + 42580. Give c(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8921.242 millennia to decades.\nAnswer: 892124.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353073110 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-76)\/36*-3 - -2. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*n + 43 - 15, -31 = -k - 5*n. Calculate the lowest common multiple of 55 and k.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5223100 (base 6) to base 10\nAnswer: 252108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*(-316)\/240 + 5\/5 and 113\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*i - i - 2 - 128*i + 24*i to b + w*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j + 38*j - 100. Let u(p) be the first derivative of 9 + 0*p + 5\/3*p**3 + 0*p**j + 7\/4*p**4. What is the third derivative of u(z) wrt z?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317 (base 8) to base 5.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -8312189?\nAnswer: -8312187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let h(k) = -k**2 - k + 1. Let f(n) = 4*n**2 + 3*n + 2. Let s(p) = -f(p) - 3*h(p). Let r(c) be the first derivative of s(c). Give m(r(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6171 = -2*m, -3*m - 11*f = -9*f - 9264. Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220020.901 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-77)*-4*(-220)\/(-600).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484674.42015 less than -1.2?\nAnswer: -4484675.62015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + x - 13*x)*(14 - 1 - 1) + 3 - 3 + x + (-6 + 1 + 4)*(-x - 1 + 1) as j*x + m and give j.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (12096 + 22369 - 5980)*(4*u - 2*u - u) in the form l + w*u and give w.\nAnswer: 28485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.116 rounded to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 29 - 41. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8 - (-99)\/(-693)*((-306)\/(-16) - -1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320290897?\nAnswer: 41, 53, 79, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 7}. What is prob of picking 1 g and 3 i?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 199823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1 (c) -3\/22 (d) -1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + l + 87 + 164 = 0, 4*l - 16 = 0. Suppose 2*k + 107 = 5. Let j = z - k. Solve 0 = h - 3 - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 375840608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a - 23 = -6, -4 = -2*d + 2*a. Solve -d*t + t = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 510 = 3*k. Let u = k + 142. Which is bigger: u or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7859605*0.1\nAnswer: -785960.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/7764 and -5\/16.\nAnswer: 31056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/((-126)\/3) - 224\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128\/3 - 2182\/51. Let w be 5*(1 - 4)\/3. Which is the third biggest value? (a) 3\/2 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - v - 1. Let p(o) = 331*o**3 + 343*o**2 - 3*o - 3. Let x(z) = 3*m(z) - p(z). Find the third derivative of x(w) wrt w.\nAnswer: -2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 149*k - 3. Let y be b(2). Let m = y - 164. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.1. Let v = 35.2 - 35.22. What is the nearest to 1\/4 in v, t, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4423*y + 31042. Calculate s(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1486 + x**2 + 1486.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 22. Let r be q(-3). Let i be (6\/(-4))\/(r\/106) - 4. What is the highest common factor of i and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -3.97. Let v = 25 + -25. Put 2\/3, v, y in decreasing order.\nAnswer: 2\/3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1131 and 54118437?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-46)\/(-3))\/((-7)\/21). Let g = m - -81. Let t(p) = 14*p + 35. Let k be t(0). What is the greatest common factor of k and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 11*l - 10*l - 11, l - 19 = -2*h. Suppose -n = 2*n - 264. What is the highest common factor of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {g: 1, k: 2, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from zzxxaxxxxxaxxxxax.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 154*a - w + 3*w = 95, 4 = -a - 4*w + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 0, -2991, -0.02, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-4 + 2 - 0). Suppose p = -x*u + 27, 4*u - 5*p = -p + 52. Solve 5*z - 40 = -4*r, 0 = 2*r - 6*z + z + u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/28*(-756)\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.458 to the nearest integer.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -2. Let d = g + 35. Let l = d + -9. Which is smaller: -2\/9 or l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20610478 and 21413?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -186. Which is the third biggest value? (a) -1 (b) t (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrunnnddrrdrddn. Give prob of sequence dn.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/758080 and 87\/2560.\nAnswer: 6064640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11227694 (b) -0.5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -111*c - 4. Let j be z(-2). Let l = j + -213. Sort 1, l, -115 in increasing order.\nAnswer: -115, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.3, -2\/79, -16, 5\/6, -5.\nAnswer: -16, -5, -0.3, -2\/79, 2\/5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g. Let b(u) = 8623*u**2. Give b(k(o)).\nAnswer: 551872*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppktkttttttttpkdkt. Give prob of sequence pk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 170 = 6*j. Let b = 13 + -9. Suppose -v = -0*v + 5*y + 8, -y - 10 = -b*v. What is the lowest common multiple of j and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 12*v = -7*v - 21, -4*w - v - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from {i: 2, p: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14906483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l + 85. What is w(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, 35, 438, -38, 1 in descending order.\nAnswer: 438, 35, 1, -1, -2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2990 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 - 2199 - 2503 - 3*v**2.\nAnswer: -3*v**2 - 5263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/3 + 865*d**3 - 20807*d**2\/3 + 14747*d - 26030\/3 = 0.\nAnswer: -2603, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12582024 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l - 41*l + 26*l**3 - 29*l + 22*l**3 - 50*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 752 = 4*s, -905 = -4*s - w - 153. What is the greatest common divisor of s and 6674?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1*(-5 + 4) + -1. Let s(u) be the third derivative of 2*u**2 + 1\/40*u**6 + 5\/8*u**4 - u**v + 0 - 1\/5*u**5 + 0*u. Factor s(o).\nAnswer: 3*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7463*h - 15036*h + 6681*h)*(5*h**2 - 5*h**3 - 5*h**2).\nAnswer: 4460*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 5*w**2 + w**2)*(4247 - 55*w - 4247)*(3*w - 2*w + 0*w).\nAnswer: -110*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a - 1. Let i be c(2). Let v = i + -8. What is the least common multiple of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40110*y**2 - 6*y**3 + 40065*y**2 - 68 - y + 53 + (0 + 0 - 2*y)*(4*y**2 - 4*y**2 - y**2).\nAnswer: -4*y**3 - 45*y**2 - y - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 296\/5. Let m = 76 + -70.3. Let l = -6 + m. What is the third biggest value in l, j, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -5 - (99 + (-72 - 33)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 20984256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/66 + (-219007)\/15. Let d = 14689 + f. Is d at most as big as 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 0*v**3 - v**3 + 5*v**2 - 2*v**2. Suppose 2*m - 5 = -s, 15*s - 10*s + 5 = 5*m. What is i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -4*i**5\/15 + i**4\/24 + 13*i**3\/6 - 4*i**2. Let t(j) = -4*j**2 + 3. Let n(q) = -9*t(q) + 2*z(q). Does 2 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 10, -41, 1, 2, -10 in increasing order.\nAnswer: -41, -10, 0, 1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23671 + 10211. Let z = -67913\/5 - o. Let f = -122 - z. Which is the second biggest value? (a) f (b) 2\/43 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 3, v: 4, f: 2, k: 3, a: 1}. What is prob of sequence fkta?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**3 - 3*f + 7. Let a(m) = -8*m**3 - 4*m + 8. Determine 5*a(n) - 6*p(n).\nAnswer: 2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 16.28. Let n = -0.02 - l. Which is the closest to -1? (a) n (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Suppose 3*x = m - 2, 2*m + m = w*x + 6. What is the third derivative of 5*r**6 - r**6 - 2*r**6 - 2*r**m wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 16*c - 10. Let k be i(7). Let n be ((k*-1)\/(-12))\/(-1)*-6. Suppose 2*y = n*a + 7*y - 20, 0 = -3*a - 2*y + 8. Solve -4*g = -a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1107, 1 in increasing order.\nAnswer: -1107, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:38 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17483, -17491, -17499?\nAnswer: -17507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -6. Let x = i + -6. Suppose 5*m - x - 3 = -5*a, 2*a + m - 2 = 0. Sort a, -4, 5 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - -1) + -1 + 104 + -127.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 46631200 to the nearest 100000.\nAnswer: 46600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n + 4*d - 2*d, 2*d = 10. Let b(i) = 4 - 3 - 8*i + 2*i**2 - 3*i**n + 2*i. Determine b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 260*h**2 - 1498*h + 1359. What is o(124)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 67 = -301. Calculate the remainder when 77 is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 2\/11, -4, -3 in ascending order.\nAnswer: -66, -4, -3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 5. Let x(c) = -c**3 - 5*c**2 + 5*c - 6. Let n be x(-6). Let g be i(n). Suppose 3*m - 2 = -5*q, g*m + q = m + 14. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19453 is divided by 6137.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 17*m + 17. Let c(f) = -f**2 + 6*f + 6. Suppose -2*u - 15 = 3*n, n + 2*u = -0*n - 1. Let g = n - -13. Calculate g*o(x) - 17*c(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 3. Let q be y(-7). Suppose -j - 3 = -4. Let z(p) = 5*p**2 - 3*p - 20*p**3 - 3*p**2 + 21*p**3 + j. Give z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 9590\/161 + -4. Let d = -23855\/414 + g. Find the common denominator of d and -65\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let q(a) = 126*a - 598. Calculate k(q(v)).\nAnswer: 252*v - 1196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 88*j - 81. Let d be b(43). Let h(s) = 232*s - 46. What is the units digit of h(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {y: 6, l: 1, x: 6, k: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8298.3483 minus 5?\nAnswer: -8303.3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 14679*k - 14679*k - k**2)*(k - 4*k + 2*k).\nAnswer: k**3 - 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpppn. What is prob of picking 1 n and 2 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -13*p**5\/20 + p**4\/12 - 37*p**2 - 5*p + 12. Differentiate q(j) with respect to j.\nAnswer: -39*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10)*j**6)\/(j*j**(-5)\/j*j*j**(-5)\/j) assuming j is positive.\nAnswer: j**(159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/(v**(-3\/4)\/v))**49 assuming v is positive.\nAnswer: v**(1519\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36153.\nAnswer: 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.912132l?\nAnswer: 912.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -938 and -0.4.\nAnswer: 375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-1\/13))**32 assuming i is positive.\nAnswer: i**(32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**3 - 7*n**3 + 8*n**3)*(11 - 4 + 7 + 3).\nAnswer: 187*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -22. Put -5, x, -3 in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/17 - 28*v**2\/17 - 80*v\/17 = 0. Calculate v.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a*a**(-1)))**(-26)\/(a**(1\/4)\/a*a\/a**1) assuming a is positive.\nAnswer: a**(211\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.9999879 - -39. What is w rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486343 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**6\/360 + l**4\/12 - 8*l**3\/3 + 7. Let p(r) be the third derivative of d(r). What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kkknnnnkrnnknk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a - 5. Let u be n(-12). Let v be 16\/(-18) - (-962)\/1332. What is the second smallest value in -1.1, v, u, -0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.76 - 2.673. Let g = c - 4.034184. Let o = g - 0.053. What is o rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649835 to the power of 1\/2, to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*d - 1178 + 2630 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 864 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112956329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 46.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.079695774 + 85396.794704226. Let w = -85416.87440052 + b. Let o = w - -20. Round o to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v*v*v*v\/(v**(-6)\/v)*v)\/v)\/v*v**(-2\/5)\/v)\/(v**(5\/3)*v*v\/(v**(-4\/5)*v)))**(-44) assuming v is positive.\nAnswer: v**(-4708\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - q**2\/2 + q\/2 + 1\/2.\nAnswer: -(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221*p**4 - 1437*p**3 - p + 3766927 wrt p.\nAnswer: 884*p**3 - 4311*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q**(-4\/3))\/((q\/q**(-5))\/q**(2\/15)) assuming q is positive.\nAnswer: q**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5*s + 10*q**5 + q**3*s - 177*q**2 - q*s wrt q?\nAnswer: 60*q**2*s + 600*q**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9445*n**4 - 33*n**2 - 2472632?\nAnswer: 37780*n**3 - 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**1)\/b)**49\/(b**0)**(16\/5))\/((b*b**0*b)**(-3\/13)*(b*b*(b*b**2)\/b*b)\/b*b*b*b**1) assuming b is positive.\nAnswer: b**(552\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 11*g - 6. Let l be m(-4). Let j = l + -1. Let a(u) = 4 + j - 1 + 2*u. Calculate a(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-14\/9)\/g*g*g**(5\/3)*g*g)\/(g**(5\/7))**(-1\/22) assuming g is positive.\nAnswer: g**(2971\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-4 - 18) + (-16 - -3)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -143*-3\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 25*x**2 + 41*x**2 - 28*x**2.\nAnswer: -2*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:48 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p**2 - 15*p + 7. Let t be 14 + (-8 - 1*(4 - 5)). Let q(j) = -7*j**2 - 8*j + 4. Give t*q(w) - 4*g(w).\nAnswer: 3*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (665\/(-399) - 1\/3)*2\/(-24). Suppose -1\/6*u**4 + 1\/6*u**2 + 0*u - 1\/6*u**5 + l*u**3 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -993, -3889, -8715, -15471, -24157, -34773, -47319?\n\"Answer: -965*k**2 - k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 1\/4*w**5 - 12*w + 10*w**3 + 20*w**2 + 0 + 5\/2*w**4. Factor c(y).\nAnswer: 5*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355088490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -5, 3, -3 in decreasing order.\nAnswer: 3, -3, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -953*t**6\/60 - t**5\/30 - 689*t**3\/3 + 3137*t**2. What is the first derivative of z(y) wrt y?\nAnswer: -5718*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185408 (base 13) in base 16?\nAnswer: -9547a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose -u*f + 4 + 26 = 0. Suppose 4*q - f - 6 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 11*j - 11. Let p = -97 + 105. What is i(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*m = -4*u + 2, 0 = 2*u - m - 6. Let o = 7 - 4. Suppose o*q - 1 = -10, 30 = 4*a - u*q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -2 + (1 - 3) + (346 - 341)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9537586811 - -3637.\nAnswer: -9537583174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**3 + 15*t - 15*t - 5*t - 9*t**3 + 5*t + 0 + 0 + t**3 + (-t - t + t)*(-4 + 4 + 2*t**2) + 4*t**2 - 4*t**2 - t**3 - t**3 + 0*t**2 + 0*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0 - 0)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3\/p)**24*((p*(p*(p*p**(2\/39)\/p*p)\/p)\/p*p)\/p)\/p**(4\/3) assuming p is positive.\nAnswer: p**(2797\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-825)\/22*(-32)\/80 + -40.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491113556 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 3*n + 16. Find the first derivative of 3 + x**2 - 2 - n - 4*x**2 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 593825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -52029*f - 5358983. What is o(-103)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/2 + 3*v**2\/2 - 2*v. Let o(p) = -p. Let f(t) = -2*t + 45. Let r be f(22). What is r*i(x) - o(x)?\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*s + 45 - 16, 0 = -2*z + 5*s - 3. Let c be 0 - -1 - (-12)\/z. Let v = -37\/50 + 6\/25. What is the closest to v in -2\/21, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*(p\/(p\/(p*p\/(((p**(-4\/7)\/p)\/p*p)\/p)))*p)\/p*p)**(-39\/4) assuming p is positive.\nAnswer: p**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -88bba (base 12) to base 16\nAnswer: -2c4be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 - 3718?\nAnswer: -3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 15.38, -5?\nAnswer: 15.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-28) + (-46319)\/3185?\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355636 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*(-2)\/(-4)*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s)**(-16\/9))**(8\/13) assuming s is positive.\nAnswer: s**(-128\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-121)\/(-297). Let k = t - 5\/27. Let g = -7 - -3. Which is the nearest to 0.1? (a) 2 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11783, -808 in decreasing order.\nAnswer: -2, -808, -11783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)\/g**(2\/5))\/(g**21\/(g*g**(-3\/49)*g)) assuming g is positive.\nAnswer: g**(-5258\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331 + 618. Let w = q + -205. Suppose 5*y - 43 = -2*o + 111, w = 3*y - 4*o. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-54)*1 + (-265)\/(-45). Let h(u) = -u**3 + 5*u**2 + 8*u - 13. Determine h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-148 - 151 - 2*v + 81) in the form p + t*v and give p.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10853666*t**3 + 2*t**2 + t + 9968083.\nAnswer: 32560998*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**2 - 22*j**2 - 22*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 8) to base 14.\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82604, -82609, -82616, -82625, -82636?\n\"Answer: -l**2 - 2*l - 82601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let t(d) = 6412 + 7412*d - 6412. Determine k(t(m)).\nAnswer: -14824*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -706.7249 to the nearest integer.\nAnswer: -707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -195, -397, 3 in descending order.\nAnswer: 3, 2, 0, -195, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (-5 + sqrt(475)*-1)) + (sqrt(475)*-2 - sqrt(475)) + 0 + sqrt(475))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 275*i + 44 = -276*i, 9*k + 130 = -5*i for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 + 48999*u**3 - 2490984*u**2 - 2637996*u + 5079984 = 0.\nAnswer: -2, 1, 52, 16282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*s + 2*p - 666*s - 1183 wrt s.\nAnswer: 2*p - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 635013.042167 + -634622.144. Let i = 390.9 - t. Round i to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dabdyiiaaaiaavv. What is prob of picking 1 b and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 519725, 519721, 519715, 519707, 519697, 519685?\n\"Answer: -l**2 - l + 519727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35884, 35588, 35098, 34414?\n\"Answer: -97*c**2 - 5*c + 35986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4859860 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 17*r**2 - r. Let x = -3 + 4. Let n(q) = 184*q + 612. What is the remainder when n(-3) is divided by t(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -712*h**3 - 178*h**2 - 178*h - 178. Let j(b) = b**2 + b + 1. What is d(a) + 178*j(a)?\nAnswer: -712*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*l**2 + 3*l**2 + 22*l**2 + (0*l + 4*l - 3*l)*(3*l + 3*l - 4*l))*(l + 4*l - 7*l) in the form y*l + f*l**2 + m + k*l**3 and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 730661 and 3526?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-12)*1 + 925\/(-20). Let g = 53 + w. Let t(u) = u**3 - 4*u**2 + 3. What is the least common multiple of t(4) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2. Suppose -v + 15 = k*v. What is the third smallest value in -4, 5\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*u = -13, -h + 5*u = -4*h - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19. Suppose 10*n - 13*n + 93 = h. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 80*a - 53*a + 133*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:59 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 14*k - 1. Let c(v) = 7*v - 1. Give 5*c(i) - 3*g(i).\nAnswer: -7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*x = 15*x + 318724. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) - 6*2*sqrt(392))\/sqrt(7))\/(sqrt(288) + 2*2*sqrt(288) + sqrt(288)).\nAnswer: -11*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 2. Let b(f) = f**2 + 50*f - 469. Let r be b(8). Let s(x) = 3*x**3 - x**2 + 1. Let c be s(1). Let u(y) = 3*y + 3. Give c*u(h) + r*m(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 67*g**2 - 60*g**2 + 2*g - 7 to the form z*g + u*g**2 + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*b**5 + 20*b**3 - 29408*b**2.\nAnswer: 5820*b**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.51 + 9.81. Let y = 0.04 + -0.08. Let j = 1.04 + y. What is the third biggest value in a, j, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6 + 245\/42)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8081.169m to nanometers.\nAnswer: 8081169000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:04 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 34 - 6 = -5*p, 4*p - 5*w + 38 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765273599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 + -110. Calculate the remainder when d is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a week in hours?\nAnswer: 1071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19046, -38092, -57138, -76184?\nAnswer: -95230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**4*k*k*k)\/k*k*k*k**19*k*k)\/((k\/k**(-13\/4)*k)\/k*k*k**(2\/77)*k) assuming k is positive.\nAnswer: k**(7307\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*r**3 + 1758*r**4 - 151*r**3 - 1674 + 490*r**2 - 531*r - 1755*r**4 + 449*r**2.\nAnswer: 3*(r - 62)*(r - 3)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(63\/2)*2\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-20*y**5 - 13*y**5 + 14*y**5) + (-4 + 2*y + 4)*(4*y**3 - 4*y**3 - y**4).\nAnswer: -40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -100*x. Let k(q) be the third derivative of -q**7\/2520 - 7*q**5\/60 - 8*q**3\/3 - 112*q**2. Let u(p) be the third derivative of k(p). What is u(c(h))?\nAnswer: 200*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k - 13 - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjmjddjjjdmjddm. What is prob of picking 3 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 2. Let l be q(2). Suppose -n - 4*k + 40 = n, 3*n + k - 55 = 0. Suppose -4*f = 4*b - 2 + n, -f = 3*b + 6. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:50 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1454 divided by -1\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h + 0 + (0*h - h - h)*(22 - 29 - 27))*(-30*h**3 - 36*h**3 + 34*h**3).\nAnswer: -2240*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.078 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 21. Let o(b) = -61*b - 70. Let l(j) = 1067*j + 1232. Let y(x) = -5*l(x) - 88*o(x). Give y(n(c)).\nAnswer: -33*c - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -155, -188, -221?\n\"Answer: -33*h - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 22. Let h(k) = -2*k**3 - 6*k**2 + 2. Let o be h(-4). Let j = o - i. What is the highest common divisor of 108 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7200)\/1050 - 6\/(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65\/174 + -6\/29. Let f(y) be the second derivative of 0*y**2 + 0*y**4 + 0 + y + 0*y**5 + c*y**3 - 1\/15*y**6. What is the second derivative of f(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -35, 8, -4 in ascending order.\nAnswer: -35, -18, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -16854460 to the nearest 100000.\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 529, 764, 1163, 1726, 2453, 3344, 4399?\n\"Answer: 82*o**2 - 11*o + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172)\/20 + (187\/(-55) - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14609*t = -14822*t - 7881 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -45. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5838*v - 5838*v + 4*v**2 - 8*v**3 - 5*v**4 = 0?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33200.42m in centimeters?\nAnswer: 3320042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/60 + 11*m**4\/24 - m**2 - 7. Let b(x) be the second derivative of s(x). Let p(c) = -6*c**2. What is p(b(q))?\nAnswer: -864*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 22*y - 1. What is a(-3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4063 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18265, 73270, 165011, 293482, 458677?\nAnswer: 660590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -68, -92, -118, -146?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2)**2 - (sqrt(320) - (1 + sqrt(320) - sqrt(320))) - 3*(sqrt(720)*2)**2.\nAnswer: -5759 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 60*j**3 - 20*j**2 - 66*j - 63. Give b(-2).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1075913*c**2*t + 1100100*c**2 wrt t.\nAnswer: -1075913*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/30 - 218*c**3\/5 + 106929*c**2\/5 - 10*c + 68. Let y(l) = 0. What is l?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*u = 113 + 307. Solve 6*f + u*m = 2*f + 10, -5*f - 2*m + 14 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7*m + 72 = 0. Suppose -740 = -m*a + 556. Suppose 5*o - a = 57. Calculate the highest common divisor of o and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*m + 2*m. Suppose -2*b + 2*b - b = m. Solve -2*k + 4*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 - 36.028. Let l = r - -36.0000027. Round l to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 729288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 5:27 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 50*s**2 + 97*s + 243. Let r be l(52). Which is the biggest value? (a) 5 (b) r (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2675 + 436?\nAnswer: -223a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 42. Let d be n(10). Suppose 13 = -v - 3*x, 4*x + 14 + 2 = -d*v. Is ((-360)\/(-5) - 2)*v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37349 - 37345 - (42 - 0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 8*v + 9. Suppose -5*q + 19 = 4*p, -2*p = -q + 2*p + 23. Let i be h(q). Suppose -i*x + 9 = x. What is the least common multiple of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 901*o + 26132. Calculate d(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/495 and 103\/155925.\nAnswer: 155925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5293080 and 123201?\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 820*v**2 + 24925*v - 181610 = 0. What is v?\nAnswer: 11, 26, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 - -4)\/2. Let t = -3 - y. Let i(b) be the second derivative of b**3\/3 + b**2\/2 - 5*b - 3. Determine i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1086.\nAnswer: 9774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 83 + -4 + -1 + (9 - 4 - 28)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j**2 + 97 - 67 - 59)*(-2*j**3 + j**3 + 2*j**3).\nAnswer: -2*j**5 + 3*j**4 - 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 6*v - 20. What is t(13)?\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -10. What is the remainder when 5\/(4*4\/80) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20620 - 12936. List the prime factors of c.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. Let c = -2.3 + -0.7. Let p = -3684\/5 - -736. Sort k, c, -4, p in decreasing order.\nAnswer: k, p, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 450129611 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 15) in base 4?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 33\/8*x**4 + 0 + 0*x - 1\/3*x**3 + 9*x**2. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*z + 8, -z + 3*q = 2*z - 3. Suppose -18 - 17 = -b + z*u, 3*b = u + 120. Suppose -b = -4*x + 7. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1601, 1.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-32 + 17 + (-17 - -7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -100, -1\/2, 11\/6, 1, 83?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -17.7. Let g = -5.7 + c. Sort 1, 0.3, g in decreasing order.\nAnswer: 1, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/3 + 667*b**4\/3 - 10942*b**3 - 3130090*b**2\/3 + 179534875*b\/3 - 58790875 = 0 for b.\nAnswer: -69, 1, 65, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 205 - 68 = 3*j, -2*d - 4*j + 136 = 0. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1001.2 - 1001. What is the nearest to 0.1 in z, 1\/6, -1, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 6504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**2 + 11*y + 15. Let l(h) = -5*h**2 + 4*h + 5. Let o(r) = -11*l(r) + 4*m(r). What is o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001033818 rounded to 6 decimal places?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.645*32007\nAnswer: 84658.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-1.8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5537\/13518?\nAnswer: 5537\/13518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48362119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250639555, 501279111, 751918667, 1002558223, 1253197779, 1503837335?\n\"Answer: 250639556*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327 = 77*z + 598 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s - 33. What is z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -714385.\nAnswer: 1\/20411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6 - 1*3. Suppose -8*x + x + 14 = 0. Suppose p*c - 3*j = 6*c - 240, -x*c = -j - 148. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9522 + -2?\nAnswer: 9520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 11*h + 14. Let f be g(10). Solve -3*r - d - 2*d - 12 = 0, -d = 2*r + f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -8) + 1 + 20\/(300\/135)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-3 - -14)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/(5 - (-1038)\/(-210)). Let r be (0 - -1) + 15 + g. Put r, 11, -3 in descending order.\nAnswer: 11, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471554*g = -471481*g + 657 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 707 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44, 135, 294, 527, 840, 1239, 1730, 2319?\n\"Answer: h**3 + 28*h**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1374463 or 1374468?\nAnswer: 1374463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 42. Suppose 14*l - a = 15. Suppose -l*o + 4*s + 4661 = 0, 3*o = -2*s + 2448 + 2237. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 145\/4. Let s = -3 + 3. What is the biggest value in 0.1, s, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/25 and 73\/3388990?\nAnswer: 16944950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/2450*(-7)\/18*3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98334 and 315?\nAnswer: 3441690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -77.91. Let p = l - 0.01. Which is the nearest to p? (a) -3 (b) 1 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -41, 1.353?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (19 - (-8 - -32))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 19.2. Let j = 25.7 - 28. Let q = j - a. What is q rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 36 + ((9 - 2) + -3 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 7074 = 2*v - 7075, v + 5 = -3*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a - 3 + 3)*(6 + 0 - 4).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 2*o - 4. Let x(a) = 6*a**2 - 3*a + 5. Let y(q) = -3*x(q) - 4*z(q). Suppose 36*s + 53 = -19. Give y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295615 is divided by 38106?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6674*m - 34868 = 5656*m - 8400 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 5. Let h(d) = d. Let y be h(4). Let b be w(y). Suppose 11 = 3*p - b. Solve 0*t = 2*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4471, -7757, -11023, -14269?\n\"Answer: 10*v**2 - 3316*v - 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8146510 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.9 (b) -5 (c) -3435 (d) -0.4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5022 to the nearest ten.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101750 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942985 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 and 11\/359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 + 3463*d - 17346. Calculate g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 74502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q - 2. Let i be p(-7). Suppose -4*j - 5*v - i = 0, 5*j + 49 = -5*v - 16. Let s = 38 + j. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172 - -179. Let t(n) = -2*n - 6. Let x(h) = h + 5. Let s be (45 + -48)*(-8)\/(-6) + 10. What is s*t(w) + y*x(w)?\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 1, a: 1, w: 1, o: 2}. Give prob of sequence olo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:43 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00689783 rounded to 5 dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -63*a**2. Let o(p) = -6*p. What is y(o(l))?\nAnswer: -2268*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 8259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48049.21 rounded to the nearest one hundred?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 12*p = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4505?\nAnswer: 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8 - 3*i + 0*i - 5. Let t be n(-6). Let s be (-12)\/48*(-2)\/t. Which is the second smallest value? (a) s (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9816778 and -9816775 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 3. Let t be (-1)\/((-10)\/12)*-5. Let d(p) = -7*p + 4. Give t*h(u) + 5*d(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*u. Suppose -2*m + u*s - 1 = 0, -17 = -2*m - 2*s - s. Let o be m + -1 - 12\/4. Sort -5, 6, o in increasing order.\nAnswer: -5, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -152, -181, -200, -203, -184, -137, -56?\n\"Answer: b**3 - b**2 - 33*b - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(-3*(-5)\/(-3240)). Let k be -2 + 1 + 13\/1. What is the greatest common divisor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5335 by 97.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 51 = -2*r, r = -4*v + 8*v + 39. Solve 5*q - r = x + 3, -5*q - 5*x = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564290751334074 + x**3 + 2*x**3 - 564290751334074.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)*-2 + sqrt(70) - (((-2*sqrt(70) - sqrt(70)) + sqrt(70))*5 - sqrt(70)))\/((sqrt(100) - (5*2*sqrt(100) - sqrt(100)))\/(3*sqrt(10)*2))*-5.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(10\/3428)*(-28)\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15 - (5792\/(-65) + 96\/312).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1507*x + 733*x + 754*x. Let g(a) = 799*a. Determine 3*g(z) + 119*s(z).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.53 - 0.73. Let j = -3.01 - -0.01. Let z = 3.2 + j. Which is the second biggest value? (a) z (b) -1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiibibikiiir. What is prob of picking 1 b, 1 r, and 1 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/15 + m**4\/3 - 17*m**2. Find the second derivative of j(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - -9) + (-14 + 56 + -22 - 12)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 2. Let b be (-1714)\/990 - (a + 11). Let d = b - 8\/45. Is d >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let u(h) = -3*h**2 - 115*h + 377. Let d be u(3). Sort -4, d, g, 3 in decreasing order.\nAnswer: d, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2223 is divided by 1034.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**26)\/i**(-5) assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-72)*-6)\/(-1) - 2888\/(-160) - 9. Determine a so that -42\/5*a**2 - 2\/5*a**3 + 0 + j*a = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417\/26 - 821\/52. Which is the third smallest value? (a) f (b) 25 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from onowowzoowzwaz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 2. Let w be z(-1). Solve w*k - 3*k = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2627, 1 in ascending order.\nAnswer: -3, 1, 5, 2627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2599 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) -972276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338510665 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70645838 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 5*z. Let r(w) = -176*w**2. What is a(r(y))?\nAnswer: 92928*y**4 - 880*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 612?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*n - 11044*n + 1744215 = 2366*n for n.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2 + 1) - 2. Suppose 3*p + r*p = 9. Find the third derivative of m**p + 2*m**2 + 4*m**2 - 4*m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 8:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -2.7. Which is the biggest value? (a) 5 (b) 0.05 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 4*x**2 + 33*x + 66. Determine q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -3 (c) 5 (d) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 52663.6 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 261a35 (base 11) to base 2\nAnswer: 1100100101101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 2*z**2 - 8*z - 6. Let r be p(-4). Let n(u) = u - 8. Let x be n(0). Let h = r - x. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-115)\/(-23) - (-129)\/2*(-12)\/(-18). Solve 258 = -51*z - f for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*d**2 - 1438*d**2 - 326*d**2)*((0 + 0 - 2*d)*(6*d - 2*d - 2*d) - 2*d**2 + 0*d**2 + 0*d**2).\nAnswer: 10050*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 312245368.4 - -0.1477?\nAnswer: 312245368.5477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0616*1.\nAnswer: 0.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 4, m: 5}. What is prob of picking 3 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 5*z + 5. Let l be d(5). Let k(f) = 2*f**2 - l*f**2 + 0*f**2. Let q(u) = 2*u. Determine k(q(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/2 + 48*w**3 + 693*w**2\/2 + 852*w + 552 = 0. What is w?\nAnswer: -23, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26793 is divided by 291.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94740775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9173*r**5 + 46628*r**2.\nAnswer: 550380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*t**3 + 15863*t**2 - 15863*t**2 + 499*t**3)*(t + 2*t + 0*t).\nAnswer: 1881*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/3, 1\/4, 2\/9, 46\/9, -2, -46?\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -1c3c?\nAnswer: -1c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 966 + -962. Let l(a) be the first derivative of a**2 + 5\/2*a**j + 0*a + 0*a**3 - 4. Find the second derivative of l(x) wrt x.\nAnswer: 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j**5\/7 + 66*j**4\/7 + 234*j**3\/7 + 174*j**2\/7 + 30*j\/7 = 0. Calculate j.\nAnswer: -1, -1\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3751263999.\nAnswer: 3, 7, 29, 2053237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + q**4\/6 + 19*q**3\/3 + q**2 + 7577*q. What is c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 7*y - 8. Let z be p(4). Suppose -z*r = -4100 - 2472. Suppose 619 = 2*w + 5*h, 5*w + 3*h - r = -67. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 1. Suppose -18 = -2*w - 4*w. Let y(s) = 5*s**3 + 2*s**2 + 3. What is w*g(n) + y(n)?\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a*v**3 + 7*a + v**6 + 1688*v**5 + 19909*v**2 wrt v?\nAnswer: 60*a + 120*v**3 + 101280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.8 + 69. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -91 - 7*l + 8*l + 126. Let v be j(-17). Solve -w + 2 = -4*w - q, 5*w + v = 2*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:12 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 8:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - z - 3*z + 3*z - 3*z - 3*z + 60 - 60 - 10*z + (3*z - z + 0*z)*(3 - 5 + 6) - 4*z + 3*z + 2*z to m + o*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -16. Calculate the least common multiple of q and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**26\/y*y**28\/y assuming y is positive.\nAnswer: y**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2482*n - 9822. Give o(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a + 10. Let y be b(-6). Let j be (12\/y - 0)*-4. Solve 0*q**2 + 0*q + 5\/2*q**4 - j*q**5 + 0 - q**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.107314 decades?\nAnswer: 132.87768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62790 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 - 4*b - 6. Let r be s(-2). Suppose 3*k = r - 2. Solve 0 = -9*p + 5*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.4 (c) 0.08 (d) -12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31 + 7*h + 9*h**5 + 3*h + 31 wrt h?\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-32)\/14) + (-6608)\/(-196). What is the greatest common divisor of t and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(4 + 5 - 4)*(x + 3*x - 5*x) to the form h*x + d and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*v = 8, -5*v - 2 = 3*j - 4*v. Suppose -5*y - 15 = -j*y. Let h = 7 + y. What is the remainder when 11 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 4240404?\nAnswer: 4240404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 55*l**2 + 3*l + 3. Let k be r(-2). Suppose -2*p + 4*m + 212 = 0, 0 = -4*p + 2*p - m + k. Let q = p + 5. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -49. Do -17 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*l + 42 = 0, -40*c + 4*l - 16 = -42*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -23. Is 0 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2. Let n(d) be the first derivative of 142*d**3\/3 - 1326. Calculate n(c(l)).\nAnswer: 3550*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/10 (b) 0.05 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, 3*r - 6 = 4*g + 3. Let q = -1 - r. Let l = 7 + -6. Is q at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 91.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60529276 to the power of 1\/2, to the nearest integer?\nAnswer: 7780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**3 + 21*q**2 + 71*q - 56. Let r be m(-5). Calculate the greatest common divisor of 648 and r.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648424.\nAnswer: 2, 37, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*f - 25, -x + 379*f - 374*f = -32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:12 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o = 75*o + 280 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -2.2. Let c = d - -3.4. Let v = 2 - c. What is the nearest to 0 in -2, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*q**3 + 143*q + 26*q**3 + 167*q**3 - q**2 + 79*q**3 - 9*q**3 wrt q.\nAnswer: 1710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 6*b + 88. Suppose 1 = -4*y - 3*w + 21, -b = -y - 5*w. Suppose 0 = 2*j + y*v - 176, 3*j + j - 342 = -2*v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let i(y) = 320*y. Calculate i(z(c)).\nAnswer: 640*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*r - 6*r + 20, -a + 16 = 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -11 - 13) + -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319\/6950 - -52\/139. Suppose 3*l = 6*l + 12. What is the common denominator of (-2)\/l + -3 - -5 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, -1, 4, 2, -321722 in ascending order.\nAnswer: -321722, -5, -4, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/1221 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.3 * -710.6.\nAnswer: 7319.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7859 is divided by 1950?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4))**(-1\/34)*w\/((w\/w**0)\/w*w)*w**0)**(-49) assuming w is positive.\nAnswer: w**(-98\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(385\/(-42))*10\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122*10\/32 + 102508\/117152?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Which is the second smallest value? (a) w (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 98.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (288 - 298) + 9 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 2*n. Let a be y(2). Suppose -4*s + 986 = 2*x, a*x - s + 1951 = 8*x. Let o = x - 264. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + n = -157, -3*n + 129 = 2*m + m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55451 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853884326?\nAnswer: 2, 3, 7, 6305729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001110101111100001101 (base 2) in base 3?\nAnswer: -110202011220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -36, 38, 152, 306, 500?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpwpppppapaqpqpp. What is prob of picking 1 w and 1 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 1. Let f be s(-2). Suppose -f*l - l + 340 = 0. Suppose l = 4*g + 17. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:27 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -5*c + 1 + 7\/2*c**2 - 1\/3*c**3. What is the least common multiple of 8 and k(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3696)\/(-126))\/((-96)\/36)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.53 + -0.44. Let w = i + -0.03. Which is smaller: w or 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15\/5)\/(27\/(-2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = 5*b, b + 13*q - 15*q + 4 = 0. Solve b = 5*g + 4*g - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10899*f*v**2 - 4*f*v + 9*f - 2*v**5 - 7*v wrt v.\nAnswer: -21798*f - 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616186991.\nAnswer: 7, 41, 2146993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -299999*s**2 + 6*s + 5. Suppose -7*u = -2*u + 25. Let v be b(u). What is v rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*u - 2, 3*r = -0*r + u + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138.8*-0.12.\nAnswer: 16.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose 26 = -q*h + 2*h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5148)\/180)\/((-14)\/3265). Let h = 6664 - n. What is the common denominator of h and -43\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3 + 11. Suppose s - f*u = -849260, 0 = -3*s - 2*s + u - 4246327. Let w = s + 1229266. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 4*j**3\/3 + j + 24. What is the derivative of k(o) wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304942*r**4 - 2*r**3 + 6*r - 27990.\nAnswer: -3659304*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*h - 30 + 5 = 0, -3*h + 34 = -5*w. Let i(b) = 15*b**3 - 5*b**2 + 5*b - 5. Let o(t) = -7*t**3 + 2*t**2 - 2*t + 2. Calculate w*o(l) - 2*i(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 4:46 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/30 + a**4\/4 - 7*a**2. What is the tens digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1941*h + 372667. Give d(-192).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196637, 786158, 1768693, 3144242, 4912805, 7074382, 9628973?\n\"Answer: 196507*i**2 + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrrrurrrx. What is prob of picking 2 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2793) - sqrt(2793))*-2)\/(sqrt(363) - (sqrt(363) + (sqrt(363) - -4*(sqrt(363)*-1 - sqrt(363))) + sqrt(363) + sqrt(363))).\nAnswer: -14*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**3 - 2*x**2 - x + 1. Let p be t(-3). Suppose -3*n = n - p. Calculate the remainder when n is divided by (3 - (4 - 8)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*v - 34 = 0, m - 6*m - v + 31 = 0. Let f = -14 - -16. List the prime factors of f\/m + (-1816)\/(-24).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 4. Let k be a(4). Let h = k - -2. Find x such that -x**5 + 2*x**3 - 4*x**3 + 3*x**5 - h*x**4 + 2*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 7*t + 6. Let x be p(7). Let c be (6\/4)\/(x\/8). Suppose -4*q = -4*j - 68, c*q = -2*j - j + 19. Calculate the highest common factor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -413 + 2514*i + 198 + 215 to the form q*i + k and give q.\nAnswer: 2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:37 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 25 = 6*g. Which is the nearest to -2? (a) g (b) 2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (12\/(-3) - 0). Suppose h = -2*s + 3*k - 15600000, 3*s + 6792111 = k - 16607889. Round s to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107619099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 - 308*r**2 - 6*r + 6515 wrt r.\nAnswer: 6*r**2 - 616*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 31. Calculate the remainder when 98 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 399.125 + -399. Let o = k + -0.125. Suppose -2*p - p = -6. Which is the nearest to o? (a) -1\/3 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + (-1760)\/66*(26\/15 - 2).\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -6*k**4 - 164*k**3\/3 - 8075*k**2\/2 + 11099. Find the second derivative of m(o) wrt o.\nAnswer: -144*o - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Suppose 4*u + u - 10 = 0. Suppose 4*o + 2*w - 8 = 0, 7*o + 3*w = u*o + 8. Solve o*a - 10 = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28 and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -27*z**2 - 654*z + 11. What is p(-25)?\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2713170 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 6:30 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058.86 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/56*(155\/30 - 4). Let y be (9\/(-42))\/((-2)\/(-4)). Sort 4\/9, l, y.\nAnswer: y, 4\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1042 = -5*u, u + 2*u = 3*p + 609. Let d = u - 206. Solve -2*q - 4*l + 2 = d, q - 4*l + 15 = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose -5*f = -5*q + 70, 0*q + q + 18 = -f. Let s = -10 - f. Solve -v*k - k = -s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844 + 2980. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = -4*q + 3, -5*d = -3*q + 33. Let u(y) = 82 - 82 + q*y. What is u(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 3*f + f + (-4 + 4*f + 4)*(1 + 2 - 6).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5012135 - 4?\nAnswer: -5012143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 59. Suppose -c + 9 = 3*i, 4*c + i - m = 18. Calculate the remainder when 22 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x - 64*x + 0 - 41*x + 3 - 108*x.\nAnswer: -162*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791960.\nAnswer: 2, 5, 13, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, n: 2}. What is prob of picking 1 k and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/17 - 3212*x\/17 - 6432\/17 = 0.\nAnswer: -2, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 64. What is the units digit of c\/((-48)\/(-20))*-21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 509 - 381. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 1. Suppose 8*l + 4 = 12*l. Let y be a(l). What is the third derivative of 23*f**5 - 9*f**y + 5 + 4*f**2 - 5 wrt f?\nAnswer: 840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.9. Which is the second biggest value? (a) y (b) -2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12*-1*1248\/928. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41.50575nm?\nAnswer: 0.00004150575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 4*l**2 - 3*l**2)*(-3*l**2 - 2*l**2 + 10*l**2).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5259 or 5261?\nAnswer: 5259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -29, -5, -3, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, 2.1, 2, -1\/3685?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 142 + 92 = -7*p, -5*q = 5*p - 40 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24391, 24390, 24389?\nAnswer: 24388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a**3 + 7*a**2 + 7*a - 10. Let k(r) = 3*r**3 - 2*r**2 - 2*r + 3. Give -14*k(t) - 4*w(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**3 + 16*i**2 - 17*i**3 - 2*i + 19*i**3 in the form v*i**3 + z*i**2 + d + t*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Suppose 4*k + 15 = 3*k - 4*s, -n*k + 5*s = -50. Suppose 4*b + 3 + 17 = o, k*b + 7 = -o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**4 + 2*x**2 + 66*x + 5. Let v(g) = g**4 + g**2 + 33*g + 3. Let j(r) = -3*u(r) + 5*v(r). Find the second derivative of j(h) wrt h.\nAnswer: -12*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((54\/(-135))\/((-24)\/30)). Solve -w*c = 46 + 8 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5811025.\nAnswer: 5, 11, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 19*g - 149. Suppose -42 = -4*s + 122. List the prime factors of j(s).\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334939.7ml to litres.\nAnswer: 334.9397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-2 - -2))*0. Suppose s = u + 3*u - 5712. Suppose g = -5*m - 107 - u, 0 = 5*m - 25. What is g rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -825 + -3271?\nAnswer: -3a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -1346101 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090.98 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 392, 1185 in descending order.\nAnswer: 1185, 392, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48486299*f**3 - 15984564*f**2 - 2*f?\nAnswer: 290917794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.749894l to millilitres.\nAnswer: 2749.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 349 (b) 1\/5 (c) -5 (d) -235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 47*t + 328. What is w(-5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -12) + 2 + -22 + (195 - 68).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 + 2592*z**2\/5 + 1040*z.\nAnswer: -4*z*(z - 650)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 302.1702 micrograms?\nAnswer: 302170.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16635643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(175)*-1*-1 + -1*(1 + sqrt(175)) + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -9161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 11*t + 10*t)*(0 - 3 + 2).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 163 = 1107. Is 1\/3 - g\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*n - 12, 0 = 4*g - 4*n + 47 - 11. Is g at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {c: 7, j: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7351059 at most as big as -7351059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**22*x**(2\/7)*(x*x**(-4))\/x)\/(x**(-5)*x*x**(-6\/5))**(-32) assuming x is positive.\nAnswer: x**(-882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 - -0.53. Let i = -8 - -6. Which is the biggest value? (a) -2\/13 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 279541796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 9. Suppose 0 = -c*w - 4*b - 0 - 14, -2*w - 6 = b. Sort -3, -1\/5, w.\nAnswer: -3, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-561)\/(-2295) + 4\/(-9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-91)*7\/6. Let h = -11\/4 + 9\/4. What is the nearest to h in x, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 201, 4, 412, -5.\nAnswer: -5, 0, 4, 201, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568*p + 2722184 = 10023067 + 5161037. Which is greater: -21941 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 5925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = h, -4*h + 9*h - 17 = -4*f. Let j(p) = p - 6. Let m be j(5). Let q be 10\/f*(-75)\/(-20)*m. Is q equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**6\/30 + 13*k**4\/4 + 16*k. What is the third derivative of m(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t - 10. Give r(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 3*a**2 - 4*a + 5. Let r be h(-4). Let i be 50\/(-1) + (r - 1). Is (i\/(-4))\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 - 7*p**2\/5 - 129*p\/5 + 27.\nAnswer: (p - 15)*(p - 1)*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1112293\nAnswer: 4449172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9573, 19146, 28719, 38292, 47865, 57438?\n\"Answer: 9573*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 - 31*f + 4. Let i(j) = 2*j**2 + 1. Calculate 2*i(v) - y(v).\nAnswer: 12*v**2 + 31*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 97. Calculate the greatest common factor of 84 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 + -1)\/((-64)\/160))\/1. Solve -k = 5*l - 2, 3*k - 3*l = -7 - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/100 + 10\/56?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12656 and 41\/724?\nAnswer: 2290736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6230848 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**5 - 184*f**3 - 429*f**2 + 2*f - 967163?\nAnswer: 120*f**3 - 1104*f - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 2*k**2 - 5*k**2. Let w(v) = 2*v**2. Determine m(w(y)).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/227394 and -50\/161563437.\nAnswer: 323126874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 133 - 151. Let t(z) be the third derivative of 1\/200*z**y + 0*z**3 + 1\/40*z**4 + 0 + 1\/50*z**5 + 0*z - 5*z**2. Find h such that t(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r - 42*r = 86*r + 2745 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19701 is divided by 19597?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 18*x**2 + 189*x - 20. What is q(12)?\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, s: 2, e: 4}. Give prob of picking 2 e and 2 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m)*(8 + 8 - 7)*(m**2 - 10*m**2 - 20*m**2).\nAnswer: 261*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 13*g - 2. Let x be w(-13). Let h(j) = -j**3 - j**2 - j - 1. Let n(f) = 6*f**3 + 9*f**2 + 9*f + 9. What is x*n(i) - 18*h(i)?\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l**4 - l**2 - 2*l - 16. Let i(q) = -34*q**4 + 2*q**2 + 5*q + 31. Let r(c) = -2*i(c) - 5*j(c). What is the third derivative of r(s) wrt s?\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 14 + 13 - r - 3*r**2 + 2*r - 24 as x*r**2 + q + a*r and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/4, 1\/2, -1\/5?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - j, 2*m - 12 = 3*j - 2*j. Suppose 5*y - m*y = -57. Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3 - 3*l**3 + 1 + l + 9*l**3 - 5*l**4 wrt l.\nAnswer: -60*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 7, i: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:56 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*v - 5864 = -11697 - 6803 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - 15 = 0. Suppose -4*r + 1 + n = 0. What is the remainder when 1 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.33 * -4.\nAnswer: -9.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2161908.780193 - -2161907. Let l = 0.18 + -1.96. Let m = c - l. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419 - 219. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933 is divided by 964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 788689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/((c*(((c\/c**(-1\/4))\/c)\/c)\/c)\/c)*c)*c\/c**(-1\/4))\/(c\/c**(-4)*c**(-6\/7)))**(33\/2) assuming c is positive.\nAnswer: c**(-2145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -209, -315, -421?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -1\/4, -0.01, -13 in increasing order.\nAnswer: -13, -1\/4, -0.01, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -55, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 9*s**2 - 6*s - 22. What is k(-7)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(4*k - 3*k + 3*k) + (1 - 3 + 4)*(2*k + 2 - 2).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 0, 12 in decreasing order.\nAnswer: 12, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + k + 13 = 13*v, -3*k = -v + 5. Suppose -13*d + v*d = 720. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 110*g**2 - 2 - 98*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 - 6*w**2 - 4*w + 1. Let p(q) = -7*q**3 + 11*q**2 + 8*q - 2. Calculate 11*n(m) + 6*p(m).\nAnswer: 2*m**3 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/27 and -1 - 1\/72*2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 5*(-3 - 3)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*f**3*i**3 - 9*f**2*n**3 + 28*i**3*n**3 + 45*i**2*n**2 wrt f.\nAnswer: -84*f**2*i**3 - 18*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 2. Suppose -10 = 5*b - 2*y, 0*b + 10 = -b + 2*y. Let k be z(b). Let q be -3*k\/6 - 1. Solve 2*a + 5*i = 29, 5*a + q*a - 25 = -3*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ops when three letters picked without replacement from sssocpccccpos?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4292334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -666.8 * 1176\nAnswer: -784156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1036*s**3 - s - 2. Let p be q(-1). Suppose 2085 = 10*y - p. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51582, -51631, -51680, -51729?\n\"Answer: -49*q - 51533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 77 (c) -3\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (14 - (32 - 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from kkpppkkpkppp.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2 + (6 - 2 - 3)*(4 + 7 - 9))*(-124 + 64 + 53 + 4*l + (4*l - 2*l - 3*l)*(-2 + 3 + 0)).\nAnswer: 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2.93719 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 * -53.8\nAnswer: 30.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 + 8*f - 7. Let u = -2073 - -2078. Determine j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*g**2*n**2*z**2 + 6*g**2 + g*n**3 - 100*n**3*z**2 wrt g?\nAnswer: 78*g*n**2*z**2 + 12*g + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, 1277880, 1, -3 in ascending order.\nAnswer: -3, -1, 0, 1, 4, 1277880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(81)\/sqrt(243))\/(-1*(sqrt(1089) - sqrt(9))*1).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -239700 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {u: 6, z: 4, g: 4, s: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 2, f: 7}. What is prob of picking 3 f and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 842.93484 to 1 dp.\nAnswer: 842.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-5))\/(9\/(-315)) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 6*y + 17*y)*(2 + 0 - 3)*(-4 + 4 + 1) + 0*y - 5*y + 2*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 - 3 - (-9 - -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1205 + -1204.3. Sort -3\/8, 16\/7, 1, -0.3, b in descending order.\nAnswer: 16\/7, 1, b, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 3484344?\nAnswer: 3484344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - -39. Let s = -697\/8 + i. Which is the second biggest value? (a) 2 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 780413.4 micrometers?\nAnswer: 78.04134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24042 (base 6) in base 3?\nAnswer: 11202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s - 1. Let u(j) = 3*j**3 - 2*j**2 + j - 2. Give -g(n) + u(n).\nAnswer: 2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33132955 is divided by 23992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1216) + 2) + -3 + 4)**2.\nAnswer: 576*sqrt(19) + 19537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1505347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:06 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9) - 192\/270)\/((-66)\/99).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -4919\/1560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + j)*(-3*j + 6*j - j) + 4*j**2 + j**2 + 0*j**2 - 3*j**2 + 2*j**2 + 2*j**2 + (j - 4 + 4)*(1 + 2*j - 1).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 7.88?\nAnswer: -7.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8091 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(-11\/6)\/(z*(z\/z**(-2\/7))\/z*z)**11 assuming z is positive.\nAnswer: z**(-4147\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15356943 and 441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 - (3 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 6*y - 3*y**2 + 3*y**2 + 11*y. Let n be z(-6). Let j = 6 - 2. Calculate the highest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20284081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 10*p**2 - 12*p + 1. Let k be j(-11). Let u be (-64)\/k + 2\/6. Let n(d) = -d**3 - 4*d**2 + 5*d. Calculate n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -13, 32, 95, 176, 275, 392?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 36, 34, 32, 30?\n\"Answer: -2*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/168 - l**6\/48 + 5*l**4\/48 + 5*l**3\/24 - 11*l**2. Suppose v(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3255717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 1, r: 2, d: 1}. Give prob of picking 2 r and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 27577092 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.31 (b) 3 (c) -136309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(-81) + (0 - (-1)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455687 times 0.0666?\nAnswer: 30348.7542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -537*i. Let h(j) = -650*j - 1. What is t(h(f))?\nAnswer: 349050*f + 537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 13. Let s be n(-4). Let y = -0.8 - 0.2. Put y, -2\/7, s in decreasing order.\nAnswer: s, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*m + 20, -m - 3*m + 5*k = 17. Let w(d) = d**2 - 20*d + 52. Let g be w(16). Let q = m - g. Solve -5*p - 20 = 0, -p - q = 3*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 6*u. Let d be (14\/(-6) + 2)\/(1\/(-3)). Let h = -157 - -155. Let v(y) = y - 1. What is d*q(b) + h*v(b)?\nAnswer: -2*b**2 + 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269018999 + -269018999.382496923. Let d = o + 0.3825. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 35*b + 4 + b**2 - 6*b.\nAnswer: b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:42 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 2*b**2 + 0*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 63*h**2 - 146*h - 36. Give a(-29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 979981659 to the power of 1\/2, to the nearest integer?\nAnswer: 31305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 4*d + 2*d)*(-2 - 1 + 4 + (-1 + 1 + 1)*(1 - 1 - 2) + (-1 + 4 - 1)*(-2 + 3 + 0) + 2 + 0 + 0 + 0 - 1 - 2 + (-9 - 16 + 14)*(2 - 3 - 1) - 1 - 8 - 3).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*d + 4*y + 59520, 4*y + 29770 = 2*d. Calculate the common denominator of -2 - (47\/(-21) + -2) and 1*1\/3*d\/228.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218476, 436952, 655426, 873898, 1092368?\nAnswer: 1310836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x - 3. Let q(m) = 2*m**2 + 2*m + 3. Suppose -17 = -5*v + 3*w, 5 = 56*w - 51*w. Determine v*z(k) + 3*q(k).\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyf. Give prob of sequence yff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + 4. Let m = f - 0.5. Let v = -0.1 - 0.4. What is the closest to -1 in 4, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10082764*l**2 + 10082792*l + 28.\nAnswer: 4*(l + 1)*(2520691*l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/12*2 + 8.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b + 3*b)*(3 - 4 + 2)*(14*b**2 - 8*b - 3*b - 13*b**2) in the form a*b + i*b**2 + j*b**3 + f and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176242658 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13682 = 5*u - 59408. Let i = u + -58157\/4. Let n = -145\/4 + i. Calculate the common denominator of n and 95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -39.09, -4, 3\/2, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/7 + -121\/35. Let x be ((-1)\/2)\/((-42)\/(-12)). Which is the closest to -0.1? (a) y (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 3. Let j be u(0). Let b(m) = -m**3 + 2*m**2 + 4*m + 1. Determine b(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2050, -2034, -2018, -2002, -1986?\n\"Answer: 16*a - 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127176?\nAnswer: 2, 3, 7, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 7*o + 87. Let q be i(-6). Suppose 0 = -5*z + 172 + 83. Let j = z + q. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 2*w = 48. Solve w + 0 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 + q - 11. Determine l(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46564942 is divided by 1085?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -6. Let d = 6.52 + r. Let g = d - 0.02. Put 4, 2, g in ascending order.\nAnswer: g, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.6. Let z = 5.1 - 0.1. Let b = 0.1 - -0.1. What is the nearest to b in 3, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**3\/3 + 6. Let q(t) = 5*t**2 - 9356 + 9356. Let n(o) = -9*l(o) - 4*q(o). Let f(w) = 7*w**2. Give n(f(u)).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 - 3*o - 13 - 5*o + o**2 + 5*o**2. Let q be g(10). Solve 1 = 2*p - q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133459976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2096)\/(-16113)*(-15)\/(-40)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 61 (c) -1\/4 (d) -0.1104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w + 35*w = 102*w - 2048 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 + 78*h**2 + 60*h + 511. Calculate q(-19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -5 - (2 - 4) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 717732758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000704438 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - 3) + 3 + -1. Let l be (-6)\/21 + c\/(-7). Solve -a - l*a = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -21.\nAnswer: -31\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmrmrrmrrmrmr. What is prob of picking 3 m?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 851*-0.076\nAnswer: -64.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Let t(a) = -a - 12. Let m be (-24)\/32*(0 - -12). Let j be t(m). Sort -2, s, j in ascending order.\nAnswer: s, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554384533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 77*z**3\/3 - z**2\/2 - 7*z - 3. Let h = 6 - 4. Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421721 is divided by 5142?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -20*q + 22*q + 0 - 8 + 11. Let l be 2\/(-8) + (-5)\/(-4). Let o(h) = 1. What is l*x(a) - 3*o(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 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: What is f in 3*f**5 + 240*f**4 + 612*f**3 - 6414*f**2 - 13719*f - 6930 = 0?\nAnswer: -77, -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -45. Which is the closest to 0.2? (a) -2\/5 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*h + 14, -354*y = -355*y + 3*h + 29. Solve x = 2*p + 13, 2*x = y*p - 194 + 212 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10813.\nAnswer: 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - -5) + 2*3. Suppose d - 3 = -2*h + 10, -d + o*h = -27. Let w = -10 + d. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14054.10048 milliseconds?\nAnswer: 0.0000232376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(271362\/(-56)))\/(-5 - 99\/(-21)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -27 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27881600 divided by -39\nAnswer: 27881600\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2 - 4287*u + 83979. Give h(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y. Let a be 3\/5 + (-348)\/30. Let k(f) = -4*f**2 + 6*f. Let q(i) = a*n(i) - 2*k(i). What is the second derivative of q(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22826989 to the power of 1\/2, to the nearest integer?\nAnswer: 4778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1117 + 7a6?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 4, 196, 3 in decreasing order.\nAnswer: 196, 24, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 24 = 5*q - 30, 27 = l - 4*q. List the prime factors of 1302\/l - 16\/72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 19. Suppose -4*y + 56 = 5*g, -2*g + 36 = 4*y - c. What is the smallest common multiple of y and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, -10, -35 in increasing order.\nAnswer: -35, -10, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055006528 times -0.08?\nAnswer: -0.00440052224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d + 5. Let f be 8\/(-24) - 22\/d. Is (-2)\/(-7) + 586\/f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8\/7, -0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/(-24))\/(-1 - (-6)\/4). Let z(f) = f**2 + 7*f - 34. Let m be z(j). Which is the fourth smallest value? (a) -3\/5 (b) -2\/3 (c) m (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 10*n + n)*(-n - 5*n + 4*n) + 44*n**2 + 24*n**2 - 7*n - 1 + 9*n.\nAnswer: 76*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*c*t**2 - 14*c*t + c - 3*t wrt t?\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/((y\/((y\/(y\/(y*y**(-8\/3))))\/y))\/y))\/y)*y*y)\/(y**(1\/20)\/y) assuming y is positive.\nAnswer: y**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*s + 0 - 7 = 0, 0 = -g + 4*s + 24. Let c = 28 + -28. Suppose c = 11*a - 4*a - 28. What is the highest common factor of a and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266617889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)*q**10)**(-2)*(q**(-6)\/q)\/(q\/q**4)*(q\/(q*(q\/q**(-7\/3)*q)\/q)*q)\/(q**6*q) assuming q is positive.\nAnswer: q**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431 - 34*h + 431 to l*h + f and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7360 - 7108. Solve 43*t - l = 7*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 253.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 + 11212?\nAnswer: 100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54*0.8274\nAnswer: 44.6796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -124*f - 1750. Calculate the remainder when g(-26) is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from iiiriiiiiiir?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from rraraarrrra.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 53*g**3 + g**2 + 12*g + 13. Calculate h(-2).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(8*5\/40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*w - 228 + 85 = 0, 5*u + 5*w = 135. Suppose 5*l + 6 = u. List the prime factors of (6\/l)\/((-3)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 138?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1074, 1 in decreasing order.\nAnswer: 1, -26, -1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -56. Let a = 27 - 38. Let p = a - -23. What is the greatest common factor of p and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + d**2 + 3. Let q be i(0). Suppose q*s - 8*t + 3*t - 17 = 0, 2*s - 3*t = 11. Find the second derivative of 6*o**4 + 0*o - s*o**4 + o wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7435672 + -4?\nAnswer: -7435676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 3512429 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*z**3 + 66\/5*z**2 + 123\/5*z + 12.\nAnswer: 3*(z + 1)**2*(z + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 212*i - 8497. Give q(40).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, -5\/2, 2\/15.\nAnswer: -5\/2, -0.4, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o + 19. Let u be j(10). Let t = u + 115. Let s = 116 - t. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.27 - 5.2700289. What is f rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 78\/(-21) + 12\/7. Solve 0 = 2*x, -j*x - 3 - 1 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136104.3 - -127150. Round y to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7496750753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:16 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 40*b + 26*b + 74*b - 558, -16 = -4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21075603 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 14*f + 125. Let p = 48 + f. What is the second derivative of -98*y**5 + 92*y**5 + 3*y**2 - 3*y**2 - p*y wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39307 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*f + y, 4*y = -7 + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-97)\/3686)\/((-2)\/4).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4489*v = 4484*v. Let a(k) = -k**3 + k + 9. Give a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -73244868?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 610, 40183\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593*w + 589*w + 8 = 0. Which is the closest to -2\/5? (a) -0.5 (b) -30 (c) 5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52\/11, 0, -3, 1, -4 in ascending order.\nAnswer: -52\/11, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-56)\/21)\/(11 - (-101)\/(-9)). Calculate the greatest common divisor of 17196 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 24. Let n be v(-17). Suppose -2*r + n + 87 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 272\/(-624)*(-664)\/18. Let q be (90\/(-8))\/(39\/(-56)). Let r = x - q. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 + -0.013?\nAnswer: 351.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128, -250, -386, -542, -724, -938, -1190?\n\"Answer: -d**3 - d**2 - 112*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2*4 - (-2*sqrt(605) - (sqrt(5) + 1 - sqrt(5))*5))**2.\nAnswer: -180*sqrt(5) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 629, 1273, 1981, 2753, 3589?\n\"Answer: 32*l**2 + 548*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (53 + -6 - 21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73850.49 millennia?\nAnswer: 738504.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:32 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 15)\/(3\/(-89)) + (-117)\/(20241\/1903).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 7 = -17. Let k = -17 + 22. Suppose -w - 3*l + k = -108, 378 = r*w - 4*l. Calculate the remainder when w is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {a: 2, s: 5, e: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + 4. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**3\/3 + 15*m**2\/2 - 59*m + 4691. What is p(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.389563793 - 15.3895. What is f rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -1\/4, 205.9, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 122947.6km?\nAnswer: 122947600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-6)\/(-4))\/((-234)\/(-156)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 10. Let c be x(-5). Factor 6*y + 50 + 4*y - c*y**2 - 55.\nAnswer: -5*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 184, 761, 2044, 4039, 6752, 10189?\n\"Answer: a**3 + 347*a**2 - 471*a + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31312 - 31?\nAnswer: 31231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*w + 18, -2*u = -0*u + 3*w - 12. What is the units digit of u\/9*(29 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 106159480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 37*n**2 - 69*n + 103. Calculate d(-39).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.358 (b) 6\/11 (c) 5 (d) 2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/5 + 52*f**2\/5 - 142*f\/5 + 92\/5 = 0.\nAnswer: 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3 = a, 3*a - 3740 = 5*k - 3745 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1345 - -5?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let m be v(3). Let w be 2 + (-2)\/m - -26. Let p = w - 19. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 4*g + 5*g)*(-5 + 2 - 1 + 3 - 1 + 0 + (4 - 4 + 2)*(0 + 0 - 1))*(-3*g**4 - 2*g**4 + 22*g**4).\nAnswer: -476*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*q**3 - 178*q**3 + 19 + 366*q**3 + q**2 + q**4 in the form c*q**2 + s*q + a*q**4 + n + w*q**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 - 202. What is the smallest value in 26, -3\/5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*o**2 - 2*o**2 - 16*o**2 + (o + 2*o - o)*(28 + 5*o - 28) to f + l*o + y*o**2 and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 632. Let c = 387 + v. Let l = -173.146 - c. Round l to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x**4 - 287891*x**3\/4 - 68016153*x**2\/4 + 16907580*x + 168507 = 0. Calculate x.\nAnswer: -474, -3\/304, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 12:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyayyyyaa. Give prob of sequence aaa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 2*l**2 - 4 - 4*l**2)*(-l - 5*l - 4*l)*(6*l + 26 - 26).\nAnswer: -60*l**4 + 240*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98808165 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(4*b + 0*b - 2*b) - 5*b - 2*b - b)*(6 - 6 - b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25524780 to the power of 1\/2, to the nearest integer?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/315 - 7*h**6\/180 + 4*h**5\/45 + 35*h**2 - 2. Determine u so that z(u) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1525460 - -1525462. Suppose 12 = 3*t - 3*b, 3*t - 4*t + 4*b = -10. Let z be (-2)\/(-4) + 9\/t. Solve -d + z = -2*d, -j = -d - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-200))\/(1\/2). Which is the second biggest value? (a) -3 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885450 less than or equal to 6885452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13*-82*(-3)\/(-24). Let w = z - -134. Which is the third smallest value? (a) -0.2 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 985 - 998 + 7*d - 2*d - 2*d - 2*d + 3*d + d - d - d + (-3*d + 2*d - d)*(0 + 3 - 1) + 0*d + d - 2*d.\nAnswer: -2*d - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 - 76\/156. Sort c, -5, -1 in increasing order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3024)*2)\/sqrt(7) + -2 + sqrt(432) + 1.\nAnswer: -1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/3 + 44*n\/3 + 76 = 0. What is n?\nAnswer: -38, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 6*l)*(6*l + 1 - 6*l - l**2).\nAnswer: -3*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 94, 150, 204, 256, 306?\n\"Answer: -w**2 + 61*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 4. Suppose 4*n = 4*q - 16, q + n = -3*q + 16. Let h be 6\/(-3) + q + -2. Solve 0*i - c*i + 4 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -149*h**2 - 125*h + 921. Calculate y(5).\nAnswer: -3429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 614299\/4 - 152728. Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*q - 11 + 0 - 5 + 15 to m + w*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4242?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6\/5, -1\/3, -1 in descending order.\nAnswer: 6\/5, -0.1, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/12*-4 + 1. List the prime factors of (k - 1 - -20) + -1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.74 and -0.13.\nAnswer: 0.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 8*n**2 - n - 8. Let j = -355 - -347. What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 25 = 0. Sort 0, 4, f, -8.\nAnswer: -8, 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151292+-3\nAnswer: 151289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 2206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.2 + 2.2. Let p = 10.4 + w. Put p, -4, -6\/11 in decreasing order.\nAnswer: p, -6\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (sqrt(68)\/(sqrt(20)\/sqrt(5)))**2 - (sqrt(153) + 1*sqrt(153) - ((sqrt(1377) + 0 - sqrt(1377)) + sqrt(1377)))**2).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 - 4 = 0. Suppose c - 6 = -l - 0*c, r*c + 18 = 3*l. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + (111 - (6 - (14 + (-1 - 8))))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = -16 + 247 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) - (sqrt(91) - 1*sqrt(91) - sqrt(91))) + -6*(sqrt(91) + sqrt(91) + (sqrt(91)*-1 - sqrt(91))))\/(2*1*sqrt(1008)*-3).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 164*y + 34851. Give w(286).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(459\/27030*10)?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 - 6*w + 11. Let f be c(-8). Let r be f - (-108)\/8 - 1*-3. Which is bigger: 12 or r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(931) + -1 + -3.\nAnswer: 1 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*p - 23, 2*h + 4*p + 16 = -0*p. Suppose 359 = 7*r + h. Let a = -49 + r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2\/3*l**4 - 4\/3*l**3 - 2\/3 + 4\/3*l + 0*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163854443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) -0.3 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57825 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 5*i**4\/4 - i**3\/3 + i**2\/2 - i - 2. Suppose -5*j - 3*t = -22, -t + 14 = -4*j + 9*j. Suppose 112*s = 114*s - j. What is p(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2109 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.57035 to 2 dps.\nAnswer: -3.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21473 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30654, 30621, 30580, 30537, 30498, 30469, 30456?\nAnswer: 30465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*m**2 - 4*m\/5.\nAnswer: -2*m*(45*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -17*u**5\/30 + u**4\/12 - 37*u**2. Let b be s(-2). Let g = b - -218. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - 52?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01352 rounded to four dps?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + a - 11 = 0, 2475*w + 32 = 2481*w + 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 439? (a) -4 (b) -2 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 48 - 51 - 3*z + 20*z**3 + 2*z**2 + 4*z. Let r be f(5). Suppose -r = -5*l - 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 5, 272, -3, 1, -0.3 in decreasing order.\nAnswer: 272, 5, 1, 0.13, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 at most as big as 1202\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/207 + -404\/1035. Let n = -7.015 - -0.015. Let o = n + 7.2. Which is the closest to f? (a) -2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1521578089 by 1.\nAnswer: -1521578089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69270 and 211349697.\nAnswer: 6927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193 + 334 - 440)*(0*p - 2*p - 2*p)*(1 - 1 - 2).\nAnswer: 696*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2 - 3 + 7*l - 2 - 2. Is t(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 17*k**2 + 8*k + 6. Let s be l(8). Calculate the highest common divisor of s and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489056 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(288) - -3*sqrt(288)*5))\/(4*4*sqrt(324)*3))**2.\nAnswer: 128\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 6*f - 304 + 601. Let d = 2262\/19 + -119. Is f greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0 + 3. Suppose -y - 2 = -o. Which is the smallest value? (a) y (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8)*(-29 - -25). Suppose -v*p + 1922 = 2*r - r, 4*r + p = 7721. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 203076686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**2 + 13*j + 69. Give o(-5).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56767 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1439*f**5 + 3*f**4 - 2525*f + 22 wrt f?\nAnswer: 28780*f**3 + 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 8. Suppose 0 = -v*r - 2*r + 52. Let u = r + -8. Let t(m) = m**2 - 4*m. Determine t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 15 = 0, 4*q + 73*c - 76*c + 12 = 19 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*c - 85*c - 2354 - 792 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26648 - 2450 = 1463*j - 7988 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 13 = -10*a, 10*a + 13*a - 25*a + 25 = 3*x - 10 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1154706 + 5?\nAnswer: 1154713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3c2 (base 15) to base 7\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10063 divided by -639\nAnswer: 10063\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 3. Let c(w) be the first derivative of 11*w**3\/3 + 17*w + 3. Let v(j) = -6*c(j) - 34*q(j). Let d(o) = 7 + 4*o - 3 - 4. Give d(v(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14451 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-5)*273\/(-9) and -121\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31420 - -31420.65. Which is the closest to 26? (a) -4\/3 (b) v (c) -1\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10*(-3 - 7). Suppose 0 = -5*g + n*i + 18, -3*i = 3*g + 2*i + 4. Find the common denominator of 65\/6 and 1 + -9*g\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25003*u + 8088*u + 52354 - 52354 in the form x + d*u and give d.\nAnswer: -16915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 16*s**2 + s + 20. Let i be a(-16). Suppose -2*h = x - 2*x - 5, 0 = -x - i*h + 19. Suppose -x*d = 25 - 76. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c + 16. Let j(y) be the second derivative of -13*y**3\/6 + 5*y**2 - 27*y. Let m(f) = 5*g(f) - 8*j(f). Let x(u) = -3*u. Give x(m(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2221102221002 (base 3) to base 9\nAnswer: 2842832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/9 - 3605*i**3\/3 - 9608*i**2 - 172912*i\/9 = 0. Calculate i.\nAnswer: -10807, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.289 + -1.711. Which is the second biggest value? (a) 23 (b) v (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c + 5*s + 3, 3*c = -4*s - 3. Let o be (3\/939)\/(c\/(-5)). Let j = -9748\/2817 + o. Find the common denominator of 101\/6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 0*a**3 + 3*a**3 + (5 - 4 + 1)*(a**3 - a**3 - 3*a**3).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = 11*b. Is 3192 + 2\/6*b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.108, 1?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f3 (base 16) to base 15.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 - i**2\/2 - 5*i - 4. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*r + 2144 = 0, -i + 3*r = -r + 549. Find the common denominator of i\/(-70) - 20\/50 and 97\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*r + 2418 = -2772 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 26. Suppose -u*t + 4081 + 2199 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-16)*b**1\/b**(-5) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 104*b + 13. Let i(k) = 422 + 404 - 1243 + 414 - 26*k. What is -9*i(h) - 2*m(h)?\nAnswer: 26*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6941 is divided by 132?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b + 3. Let u = 19 + -17. Suppose 0*i = -u*i + 12. Let p be y(i). Put p, 9, 0 in ascending order.\nAnswer: p, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - x + 11, 0*x - x = -2*f + 14. Let k be 4*5*(f - (-6833 - 12)). What is k rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5*f - 3. Let h be l(3). Let x = -33 - -63. Suppose h*v + 6 = x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.5, 1\/4, -25, -633?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(72)\/sqrt(4)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 127*q**2 - 611*q + 221. Determine j(36).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4362109 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1739.9982 months to millennia.\nAnswer: 0.14499985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*v - 4605 + 4605 to the form x + g*v and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 + r + r - 5*r - 6. Give z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 51*h**2 + 306*h - 15558. What is c(51)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2498769969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/9*(-19056)\/58756)\/(4\/66).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 4*g - 1. Let s be f(5). Let t be ((-8)\/(-6))\/(7\/21) - 3. Is 62 - s - t\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-6 - -2 - -11)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910513 = 23270*m - 695117 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Find the third derivative of 22*z**4 - 9*z**4 - 6*z**i + 12*z**2 wrt z.\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 9)*(-1 + 2 - 2*d - 2).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o = 55*o - 6. Let k be (2\/((-10)\/(-25)))\/(-1). Which is the second smallest value? (a) o (b) 4 (c) k (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 41 - 122 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -39*y**3 - y**2. Let g be f(-1). Let b(j) = -2*j**3 - 11*j**2 + 2*j + 11. Let l be b(-6). Let d = l - g. Let r(n) = -n - 3. What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3 + sqrt(500)*1 + sqrt(500) + -5 + 1 + sqrt(500) + 0 + sqrt(500) + 1 + 1)*4)**2.\nAnswer: -6400*sqrt(5) + 128395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 8\/9*n**3 - 4\/3*n - 2\/9*n**6 + 4 - 2\/3*n**2 + 2\/3*n**4 - 4\/15*n**5. Factor h(f).\nAnswer: -4*(f - 1)**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-371)\/(-49))\/((-20)\/14). Which is bigger: a or 7559?\nAnswer: 7559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*h**2 + 381*h**2 - 92*h**2.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140*s - 42*s + 65*s + 2)*(27*s - 64*s + 31*s) - s**2 - s**2 + s**2 in the form p*s**2 + u + v*s and give p.\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38946750043 - 0.4?\nAnswer: 38946750042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 - 12*k + 6. Let m(b) = b**2 + b - 1. Let x(z) = -6*m(z) - o(z). Let y be (-28)\/6 - 2\/6. Give x(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -214, -682, -1598, -3112, -5374, -8534?\nAnswer: -12742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 - 7*y - 5. Let d(q) = q**2 - q. Let f(o) = -c(o) + 2*d(o). Let z be f(-6). Find the second derivative of 6*w**5 + w + 6*w + z*w wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-30) + (-590)\/(-12). Let o = k + -23. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1802 + -1792. What is the closest to -2 in h, 1.8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73\/304581 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16214 - 1?\nAnswer: -16215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36801 and 4053562?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -842 = 4*w + 2*o - 4*o, -1090 = 5*w + 5*o. Let q = w - -303. Suppose 9 = -3*j + q. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 35 + -31 + -9 + 27?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3\/5, -185, 0.3, 0.056 in decreasing order.\nAnswer: 12, 3\/5, 0.3, 0.056, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 51422 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -330112?\nAnswer: 330111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: bab192 (base 16) to base 3\nAnswer: 212000121110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540617732 less than 0?\nAnswer: 1540617732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 23*k - 6. Let i be b(-10). Suppose -3*g + i = -317. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003604 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 100*m - 1976. What is w(27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/(d**(-3)\/d))\/(d**(-2\/3))**(6\/23) assuming d is positive.\nAnswer: d**(96\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0362 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/45)\/((-16)\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (877 + 881 - g**5 - 1849)*(6 - 4 - 3)*(1 + 3 - 3).\nAnswer: g**5 + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 10. Let j = 185.87596 - 180.876. Let w = j + o. Round w to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -32?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 70*a - 118. Let f be c(-33). Calculate the greatest common factor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 - 7*o + 1. Let t be q(7). Let l be t + -3 - (-7 + -2 + 4). Suppose 28 = 5*x - l*x. What is the smallest common multiple of 112 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*d = -91*d - 235188. Calculate the remainder when d is divided by 278.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*35\/(-252)*3*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 350, 2230, 4112, 5996, 7882, 9770, 11660?\n\"Answer: p**2 + 1877*p - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 4*x**4 + (15*x**3 + 8*x**3 + 2*x**3)*(-x + 2*x + 2*x) + (-x**3 + 2*x**3 - 2*x**3)*(0*x + 6*x - 4*x) - x**4 - 2*x**4 + 2*x**4.\nAnswer: 76*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 34402*i + 103215.\nAnswer: -(i - 3)*(i + 34405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - 24*d + 572*d + 58 as x + f*d and give f.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 3 = -5*h - 5*p, 5*h = 5*p + 5. Let x(s) = -s + 1. Let b(c) = -5 + c + 5*c + c. Let a(q) = -q. Let j(n) = a(n) - b(n). What is h*x(w) + j(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oorr when four letters picked without replacement from ooottoottooooorroot.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdddggxd. Give prob of picking 3 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 62, 145, 280, 479, 754, 1117, 1580?\n\"Answer: 2*h**3 + 8*h**2 + 5*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38305683458540 - 38305683458540 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**4 + 42*k**3 + 128*k**2 + 103*k + 43. Let y(n) = -5*n**4 - 21*n**3 - 65*n**2 - 51*n - 22. Let v(s) = -4*m(s) - 7*y(s). Solve v(h) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32207 + 57149. What are the prime factors of k?\nAnswer: 2, 3, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1485156 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 2*h**2 + h + 4. Determine w(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3.5.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j = -7*j + 568 - 165 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:14 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110101100100 (base 2) to base 9\nAnswer: -4628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/420 + d**6\/24 - 11*d**5\/40 + 5*d**4\/6 - 4*d**3\/3 - 5*d**2. Let u(p) = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1306656085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2. Let d(b) = -125*b - 5. Calculate d(m(l)).\nAnswer: 500*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110432, 220868, 331318, 441788, 552284, 662812, 773378?\nAnswer: 883988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6024 + 12051\/2. Let p = 20193\/5 - 3956. Let f = -83 + p. Are d and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 280, 496, 768, 1096, 1480, 1920?\nAnswer: 2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455.577 grams in micrograms?\nAnswer: 2455577000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153820742.\nAnswer: 2, 79, 499, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -27.9. Let z = s - -4. What is z rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and -298.\nAnswer: -983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 + 328*d**3 + 7420*d**2 + 25616*d + 24240 = 0.\nAnswer: -15, -2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164785050 by 247425.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**2 - 2387. Let l(x) = -875*x. Give q(l(d)).\nAnswer: 3500*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*y - 12 = 44, -5*v + 4*y + 307 - 229 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, 615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3677005.8000165 - 3676959.8. Let w = 46 - z. Round w to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 88, 89, 56, -17, -136?\n\"Answer: -f**3 - 8*f**2 + 60*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.6? (a) -2 (b) -0.1 (c) 3\/7 (d) -0.06 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6594326, -6594300, -6594274, -6594248, -6594222?\nAnswer: -6594196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {a: 2, x: 2, f: 1, u: 1, d: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 2*m**3 + 20*m**3.\nAnswer: 18*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 1, -1\/4, -158?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -8 (c) 481\/2 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 s, and 1 w when four letters picked without replacement from swsisxswxixx.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 325440989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*s + 4*y - 9, 0 = 3*y - 9. Let i(f) = -f**2 - 7*f - 5. Let o be i(-7). Which is the biggest value? (a) o (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 401, 5.\nAnswer: 0, 4, 5, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 4*a + 19. Let o(p) = -8*p**2 - 11*p - 49. Let g(n) = 11*m(n) + 4*o(n). Let l(k) = 9*k**2. Give l(g(v)).\nAnswer: 9*v**4 + 234*v**2 + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 27 (b) -2\/27 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - (-1 + sqrt(637) + -2)**2))*-5 - (-1*(sqrt(637) + 1)**2 + 2).\nAnswer: -2594 + 224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*o + 4*f + 14, -5*o + 255 = -5*f. Suppose 6*m = -o + 42. Suppose -4*s + 16 = 4*y, 3*y + 14 - 1 = 2*s. Put 2, y, m in decreasing order.\nAnswer: 2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -25*k**3 + 225*k**2 + 20*k + 40. Let s(p) = p**3 - p**2 - p - 2. Let o(r) = -d(r) - 20*s(r). What is x in o(x) = 0?\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-2\/3)*r))\/r)\/r**(-1\/31))\/(r**10*r)**(-24) assuming r is positive.\nAnswer: r**(24431\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**8\/336 - t**7\/70 - 5*t**5\/4 - 6*t**2. Find the third derivative of y(u) wrt u.\nAnswer: -60*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n*n*n*(n*n**(7\/5)*n)\/n)))**12 assuming n is positive.\nAnswer: n**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 23*d**2 + 2 + 0.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/6))\/(57\/(-76)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + 120. Is t*1*10\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - k**2 + (0 - 1 + 5)*(2*k - 4*k**2 - 2*k))*(2*k - 3*k - 2*k).\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i**3 - 5*i**2 + 1\/36*i**4 - 1\/90*i**5 - 1\/105*i**7 - 1\/36*i**6 + 0*i + 0. Solve z(m) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.54486*34.6\nAnswer: 88.052156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65627 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by -9*((-5)\/(-15) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i - 17. List the prime factors of (-12)\/2*93\/i*-1.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglpjltlpltg. What is prob of picking 1 j and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 172, 3, -2\/13, 7, -21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {e: 3, r: 1, k: 4, a: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 7*q**2)*(0 + 0 - q) + (2 - q - 2)*(-2*q + 3*q**2 + 2*q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 72. Solve -w*t + 16 = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-213)\/2)*(-64)\/24. Let u = y + 294. Solve -2*n + c = 0, 3*n + u*n - 2*c = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10684334 * -5.\nAnswer: -53421670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.01, -3\/13, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 15. Let h = -277 - -272. Sort 2, 6, z, h.\nAnswer: h, 2, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 167895?\nAnswer: -167896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:57 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = -0*p. Suppose 0 = -p*d + 19 + 241. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-109)\/654)\/(2\/6)*-52780.\nAnswer: 2, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1007 and -150914?\nAnswer: -151970398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/42*(7 - (-5)\/((-90)\/84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.61*18346\nAnswer: 29537.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296 - 108. Let r = -532 + 814. What is the greatest common divisor of k and r?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5367387*w. Let x(z) = 11*z**2. Determine x(b(v)).\nAnswer: 316897275285459*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/28)\/(-2) - 88\/(-154).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z - 6. Let i = 0 + -10. Let h = -6 - i. Let y(c) = c + 1. Calculate h*y(u) + t(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -6, 4, 32, 84, 166, 284?\n\"Answer: j**3 - 9*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 1436, 3788, 7050, 11204, 16232, 22116?\n\"Answer: -3*r**3 + 482*r**2 - r - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -35. Suppose 4*b = -4*d, 4*b + d = -0*b. What is the remainder when (420\/(-16) + b)*-4 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 1. Let b(a) = -4*a. Give r(b(u)).\nAnswer: 20*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (-4*sqrt(22)\/(sqrt(18)*1))**2).\nAnswer: -262\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7955*a**2. Let v(y) = 17*y**2. Give v(l(p)).\nAnswer: 1075794425*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = o + 2, -o = -0*o - 4*t + 6. Let y be 48\/(-28) + o\/(-7). Put -5, 4, y in decreasing order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4 + 12 - 3*k - 4 + 2*k. Let o be g(0). Let n = o - 33. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {t: 3, m: 1, f: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 8\/42)*127893\/15328 and ((-94)\/(-9))\/((-16)\/6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -17*k. Let j be h(-3). Suppose 4170*w - 4158*w = 660. Let x = w - j. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -310351040 divided by 9698470?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -1326.\nAnswer: -1326, -4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*p + 30, -u = -3*u - 4*p + 2. Let x = -14 + u. Let v be 26\/42 - (-3)\/x. Is v <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5548*d - 5549*d + 27 = -3*o, 0 = -5*o - 3*d + 137 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 43. Suppose c*q = -0*q. Let x(z) = 1 + 4*z + 5*z + q - z. Determine x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 159016*t + 795180.\nAnswer: -4*(t - 39759)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5680.7 - -7143. Round m to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101232, -101230, -101218, -101190, -101140?\nAnswer: -101062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273*p**5 + 272*p**5 + 29*p**4 + 1251*p - 487*p**4 + 58*p**4 wrt p.\nAnswer: -20*p**3 - 4800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2075*h**3 + h**2 + 9*h + 133. Let i(u) = 1040*u**3 + 4*u + 66. Let y(t) = 2*d(t) - 5*i(t). Find the third derivative of y(w) wrt w.\nAnswer: -6300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343009 or -343010?\nAnswer: -343010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 31. Give b(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62154 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867593?\nAnswer: 29, 29917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000218964 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44032108 is divided by 62.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 5*p**2 + p**2 + 0*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 29*t**2 + 7*t - 18. Let c(q) = 3*q**3 - 19*q**2 - 5*q + 12. Let u(b) = 8*c(b) + 5*v(b). Give u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288.7 > -0.0172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594*c**3*v**2 + 63*c**3*v + 11*c*p*v + p*v**2 - 2*p*v - 2*v**2 wrt v?\nAnswer: 1188*c**3 + 2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 394663379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-47)\/(-9) - 5)\/(9*(-22)\/(-891)). Is y < -4\/2495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317366990 rounded to the nearest 100000?\nAnswer: 317400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -67\/30*f**5 + 93*f**2 - 1\/60*f**6 + 0*f - 131\/12*f**4 + 0 - 65\/3*f**3. Factor s(a).\nAnswer: -2*(a + 1)**2*(a + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172938 and 6806?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a8aad15 - 0?\nAnswer: -a8aad15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2\/3*m**6 - 39 + 0*m + 2*m**4 + 0*m**5 - 2*m**2 + 0*m**3. Find w such that n(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288510, -288546, -288576, -288600?\nAnswer: -288618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.105 - -0.08. Let b = t + 32.025. Let p = b - 31.999958. What is p rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263 at most -0.268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 6 + 3)*(-7*l - 15*l - 14*l) + (-3 + l + 3)*(-2 + 4 - 3) in the form o*l + r and give o.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5079.999998223 - 5080. What is c rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b**4 + 24*b**3 - 70*b**2 - 100*b = 0 for b.\nAnswer: -5\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 7)\/(3\/(-2)). Let m = -200 - -197.22. Let i = m - -3.18. What is the nearest to 0.1 in i, -1\/4, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -5 + 7 - -80 - (-7 + -7)) + -13?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffefeffffff. What is prob of picking 2 f?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 1. Suppose 3 = 4*g - t, 3 = g - 3*g + 5*t. Calculate the least common multiple of z(1) and ((-20)\/(-7))\/(g\/7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1369 + -2)\/((-1)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 63*z**5\/20 + 41*z**4\/12 + z**3\/6 + 5*z**2 + 10. Find the second derivative of v(u) wrt u.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/21*3*51\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v**2 + 1187*v + 104. What is h(-49)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x. Let u(s) be the third derivative of -s**5\/30 + 46*s**2. Determine u(a(n)).\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72211, 144897, 217583, 290269, 362955?\n\"Answer: 72686*q - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 582\/9 - 2\/(-6). Suppose -w = 3*s + a + 43, 3*a - 26 = s. Let o = -11 - s. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.739354mm in meters?\nAnswer: 0.007739354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + x**3 + x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 135. Calculate the greatest common factor of 32 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 (base 9) in base 3?\nAnswer: -22202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/195, 1, -0.3 in decreasing order.\nAnswer: 1, 1\/195, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/6) - 9\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 93, 214, 393, 636, 949?\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4637232.777 less than -3?\nAnswer: -4637235.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 20 = 0, 24*l = 3*k + 19*l - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 42. Suppose 0 = -u*f + 328 + 242. Suppose 0 = 8*y - f - 126. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 21800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 12:40 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.6. Suppose -3*c - 19 = -2*h, -2*c - 3*h - 4 = -0. What is the closest to -0.2 in g, c, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 + g - 9. Let f be n(9). Suppose f = -3*q + q + 10. Suppose 0 = q*y + 39 - 379. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 7*s - 8. Let l be f(4). What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrprrrrrkrpo. Give prob of picking 1 r and 1 k.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -13*s**3 + 11. Let p(x) = -x. Determine p(j(g)).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 21. Let i = l - -44. Solve 7 + 6 = 3*z - 2*w, -z + 3*w + i = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/3)\/((-10)\/(-10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from jajj?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.36 and 117275.\nAnswer: 117277.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-2)\/(sqrt(72) + (-1*sqrt(72) - sqrt(72))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 870687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-50)\/30)\/(5\/(-3) - -2). What are the prime factors of 1 + -5 + 345 + (-20)\/a?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.14 (c) -4 (d) -0.04 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*l + 2*l. Calculate the least common multiple of 1 and (-9)\/((-54)\/(-8))*81\/l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*f - 11*t + 10 + 18 = 1109*f, -4*f - 16 = -0*f - 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46722885?\nAnswer: 3, 5, 11, 17, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 2*d + 2. Let a(c) = 2*c**2 + 3*c - 3. Let n(b) = 2*a(b) + 3*z(b). Let g(s) = -5*s**2. What is g(n(p))?\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 13*w - 34*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1004 and 861988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0200155 + -0.02. What is d rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 87*d**2\/4 - 135*d\/2.\nAnswer: d*(d - 3)*(d + 90)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1648376\nAnswer: 4945128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2185 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120989.9 decades to months.\nAnswer: 14518788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 6)*1\/(2 - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 + 44*s. Let f(n) = -2*n**3 + 15*n. Determine -8*f(t) + 3*j(t).\nAnswer: -2*t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**2. Let q(h) = -8*h**2. Give -4*q(l) + 3*w(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2965*s**3\/2 - 56327*s**2\/2 - 103699*s + 280 = 0.\nAnswer: -14, -5, 8\/2965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 + 2*b**2 + 14*b - 14. What is v(6)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108395550 and 50.\nAnswer: 108395550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50211, 50411, 50739, 51189, 51755, 52431, 53211?\nAnswer: 54089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 41 = 0. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (552 - 537) + (3 - (0 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 3. Let s be r(7). Let u(t) = t**3 + 4*t**2 - t - 4. Let l be u(s). Let a be 4\/(-6) + (1 - l). What is the smallest value in 1, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1228717 and 12593?\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.20565 times -16\nAnswer: 3.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 150, -3, -5 in increasing order.\nAnswer: -29, -5, -3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7480 + 7510 = -10*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9243.2 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k**3 - 6*k**2 + 6*k**2)*(32 - 6 + 10)*(-1 + 2 - 2)*(2*k + 9*k + 3*k) to u + s*k + w*k**3 + b*k**2 + l*k**4 and give l.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 366745 or 366751?\nAnswer: 366751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 + 7*o - 9. Let t be x(6). Let h be 0 + 1 + (-3)\/t. Let s(w) = -2 + h - w**2. Let p(z) = -3*z. Give p(s(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*6)\/(5*(sqrt(40) - sqrt(10)) - sqrt(10)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167664388, -167664390, -167664392, -167664394?\nAnswer: -167664396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2701 - -2702. Calculate the highest common factor of n and 293.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 4*z - 8. What is p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401227.\nAnswer: 37, 37871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -478909 = -478913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 9. Let p be a(6). Suppose -j = -1 + 3. What is the units digit of j\/(-2 + p + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220210212001 (base 3) in base 10?\nAnswer: -488323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22662449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 5 = -5*o + s, -o - 14 = -4*s. Put o, -3, -28, 4 in decreasing order.\nAnswer: 4, o, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*j - 3. Suppose -j*t + 5*t + 4 = 0. Let k be 0\/t + 6\/(-6). Which is smaller: k or -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121240\/3 bigger than 40414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 + -486. Let v(k) = 5*k + 3. Let n(t) = -t**2 + 6*t + 4. Give q*v(c) - 3*n(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -346*y**3 + 145 - 142 - 2021*y + 348*y**3 in the form z*y**2 + w*y + t + d*y**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 8*y**2 + 2*y + 7. Let r be w(6). Let l(f) = f + 8. Let m be l(-4). Suppose -m*q + r = -25. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 37*j**3 + 6. Let q(t) = -1. Suppose -2*w - 3*l = 20, -319*w - 2*l = -318*w + 13. Determine w*d(c) - 6*q(c).\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(18)\/sqrt(2)) + sqrt(22))\/(sqrt(64)\/sqrt(8)) - (((1 + sqrt(11))*-6)**2 + (sqrt(44)\/sqrt(4))**2 + 4 + -5).\nAnswer: -442 - 71*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3094.\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 60, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701244293*w**3 - 81992*w**2 - 2*w - 849 wrt w?\nAnswer: -4207465758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3539*x + 1 + 12609*x - 9081*x.\nAnswer: -11*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/288)\/((-60)\/48)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + 3)**2 - (sqrt(19) - sqrt(684)*2).\nAnswer: 19 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85.14 - 1.64. What is c rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 463*q + 135189. What is p(-292)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.047 - 41.953. Let s = -27 - l. Which is the third biggest value? (a) 0.5 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 27*z - 2. Let s be k(2). Let y be 2\/13 - (3 + (-174)\/s). What is the closest to -1 in y, 1, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6164, 6398, 6632, 6866, 7100, 7334?\n\"Answer: 234*m + 5930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 7*h**2 + h**2 - 3*h**2 + 4*h**2 + 4*h**2 + (-4 + 0 + 1)*(-h**2 + 2*h - 2*h) in the form a*h + d*h**2 + o and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121331?\nAnswer: 7, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 17*y + 25*y)*(2 - 2 - 1)*(-2*y**3 - y**3 + 4*y**3 - 5*y**3 - 2*y**3 + 5*y**3 + (-4*y + y + 4*y)*(y**2 - 4*y**2 + 5*y**2) + 5 - 5 - 3*y**3).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eee + -9198?\nAnswer: -a197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-16) + (-5365)\/3700?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982167?\nAnswer: 3, 19, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 0*j**2 - 2*j - 4*j**2 - 2 - 2. Let u be m(-4). Solve h - 2*b + 1 = -3*b, 0 = -u*h + 3*b + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10*11\/(-429)*-65.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46067.226 rounded to the nearest one hundred?\nAnswer: -46100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 2 + 23*f**4 - 7*f**4 - 8*f**4 - 13*f**4 - 15*f - 2*f**3 to the form b*f**4 + k*f**2 + n*f**3 + o + x*f and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151599 is divided by 13574?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 367 + 133 = 0. Let h = d - -175. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 5. Let s be 1\/k - 2933\/(-49). Round s to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and -19\/9342260?\nAnswer: 9342260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmggmmmmmgmmm. What is prob of sequence gmg?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 212, 459, 804, 1247?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 8, z: 4, i: 2, o: 2}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -107. What is the remainder when m is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91806524.\nAnswer: 2, 23, 997897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 19*t - 15. Let w be c(5). Let n = w + -79. Let f(a) = -a**2 + a. Let l(o) be the first derivative of -2*o**3 + 3*o**2 + 2. Calculate n*l(u) - 5*f(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001566 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**2 + h**2 + 124 + 9*h - 150 - 2*h**2. What is w(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-20) - 11\/(-18))*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 9*y**2 + 21*y - 5. Let m be o(-5). Is 3 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m - 11. Let i be l(-5). Suppose 5*y + 3*a + 44 - 980 = 0, -2*y - i*a = -366. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195498510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v**7 + 0*v**6 + 4*v + 13*v**2 + 0 + 0*v**5 + 95\/24*v**4 + 0*v**3 + 5\/14*v**8. What is the second derivative of l(k) wrt k?\nAnswer: 2400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426210 rounded to the nearest one thousand?\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/4 - 5*v**3\/6 - v**2. Let g(c) = 6 + 0 + 4*c - 3. What is -8*g(d) - 5*o(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/17)\/(x**3\/x)*(x**(-2))**(-3\/47) assuming x is positive.\nAnswer: x**(-1590\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 561237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*(30\/5)\/(-24)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 25\/4 (c) -46\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2870 - -11557\/4. What is the common denominator of (-63)\/40 + 14\/(-35) and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6769483 and 34111?\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189866051 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15050 (base 7) in base 3?\nAnswer: -12200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45163469.\nAnswer: 13, 29, 119797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/129, 0.01, 69, 3 in ascending order.\nAnswer: -10\/129, 0.01, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.954712 to 3 decimal places.\nAnswer: -5.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - k - 1. Let l(w) = -7*w**3 - 7*w**2 - 7*w - 7. What is 14*j(r) - 2*l(r)?\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-30)\/35)\/((-6)\/364) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 > 627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*w - 185*w = -6. Let r(y) = -y + 1. Let k(t) = -2*t - 2 - 2*t + 5*t + 0*t. Give w*k(n) + 3*r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12114 and 4851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -6 + 3\/2*s**2 - 10*s. List the prime factors of n(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + 3 + 5 + (2*sqrt(162))**2 - ((-1 + (2*sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(162))**2 + sqrt(162) + -2 + -2*sqrt(162))).\nAnswer: -1960 - 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*o - 14*o = 193*o - 18315. Factor o*t**3 + 189\/2*t + 81*t**2 + 1\/2*t**5 + 13\/2*t**4 + 81\/2.\nAnswer: (t + 1)*(t + 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2081 + 2080.9998153. What is u rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/(-29) - ((-11)\/4 - -2). Which is the nearest to 0.2? (a) -4\/5 (b) 1\/4 (c) 2\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003544659 to seven dps.\nAnswer: 0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y - y**2 + 47*y**3 + 1 - 29*y**3 - y**4 - 21*y**3 - y as n*y**3 + w*y**4 + d*y + s + u*y**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 0*k - 42 = -3*k, -k + 166 - 73 = 9*b - 4*k for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45323 != 45412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 3*r - 3. Let n be c(4). Suppose -3 = -a + n. Suppose 2*j + a*y = -12, 4*j = -2*y + 7*y + 28. Solve 4*v + 22 - j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337493379 rounded to the nearest one million?\nAnswer: 337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 307\/7. Suppose 0 = 4*g - 2 - 6. Let b be (1\/(-2))\/(g\/(-4)). Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 + 12 = 0. Let v be 10\/20 + (-9)\/(-2). Put l, -2, v in decreasing order.\nAnswer: v, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c - 2 - c - 11 + 11 + 8*c + (1 + 1 - 3)*(0*c - 3*c + 4*c).\nAnswer: 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 20*g + 11 + (-5 - 15 - 45)*(-3*g + 3*g + g) + (0 - 4 + 2)*(-2*g - g + 4*g) - g + 3 - 3 - g + g + g as b + z*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 796, 1191, 1584?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w*w*w\/w**4*(w**(2\/7)\/w)**(-42))\/(((w*w**(-5))\/w**2)\/(w**6\/((w\/(w\/w**(-1\/2)))\/w))) assuming w is positive.\nAnswer: w**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**3 - 107*i**2 + 208*i + 1610. Is g(-111) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254.188*1.14\nAnswer: 1429.77432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182 from 760378210.\nAnswer: 760378028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*l + 69, 4*l + 4*l - 10*l + 342 = 28*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108843872*d**2*x**3 - 11*d*x**2 - d*x + d + 4153*x**3 wrt d.\nAnswer: 217687744*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 18*o - 12. Give h(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2197, -4, -26 in increasing order.\nAnswer: -26, -12, -4, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54828 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/36*2\/(-3). Let y(t) = 2*t**3 - 6*t**2 - 5. Let p(g) = -g**3 - g**2 - 1. Let m(f) = 6*p(f) - y(f). What is m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -8*m**5 + 146*m**4 - 900*m**3 + 2120*m**2 - 1652*m + 294 = 0.\nAnswer: 1\/4, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055 is divided by 2051.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -339\/5 + 9154\/135. Let n = 547\/945 - z. Is 0 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32267451.\nAnswer: 3, 41, 262337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -179b9 (base 12) to base 11\nAnswer: -23824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76342 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19017 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.4 - 7.4. Let f = -27 + o. What is the closest to 4 in 2\/5, f, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10*p)\/(p\/(p*p*(p\/p**(-4\/19))\/p*p)) assuming p is positive.\nAnswer: p**(251\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let y be z(0). Let g be (-2 - (-1 - 2)) + y. Suppose g*a + a - 2*r = -11, -2*a = 3*r - 10. Are a and -2\/49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72575 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649916 is divided by 392?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + 3 + -5. Let q = 17\/63 - 5\/9. What is the nearest to v in -4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(112) - 2*sqrt(112)) + sqrt(112) + 5))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -29. Let f be 165\/10 + 3\/2. Find the second derivative of -f*b**2 + o*b + b + 0*b**2 wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (552*t**2 + 382*t**2 - 286*t**2)*(-6*t + 0*t - 2*t) to the form m*t**3 + o + w*t**2 + c*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + (-6 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 3223?\nAnswer: 74129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*c - 2*p = -75*c + 14, 5*p = -4*c - 34 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/((sqrt(96)*2)\/sqrt(12)))\/((sqrt(18) - (sqrt(18) - 6*(sqrt(18) - sqrt(72))))\/sqrt(6)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = p + 13, -23 = -a - 5*p - 8. Is (-3 - a)\/24 - 38240\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1321*l**2 + 277*l**2 - 2*l + 4*l.\nAnswer: 1598*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 15. Let i be (2 + 45)*(-2 + g). Is 19 a factor of (0 - (3 - i)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**8\/112 - 235*d**6\/12 + 601*d**5\/60 + 5*d**4\/24 + 22*d**2 - 1. Find the third derivative of z(o) wrt o.\nAnswer: 180*o**2 - 14100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2262066, 2262049, 2262020, 2261979, 2261926, 2261861?\n\"Answer: -6*f**2 + f + 2262071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1 - -3 - -3) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1079596\/829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 3758953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:55 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/60 - 17*s**3\/6 + 9*s**2. Let b be w(4). Is (-3)\/(b\/(-31)*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 + 380. What is the units digit of ((-3)\/(-6))\/(3\/j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6689691 by -18531.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4678*m**4 + 50928*m**2 + 18983*m - 6065?\nAnswer: 56136*m**2 + 101856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14111715\/56 - -504025\/2. Let u = g + -75\/8. What is the common denominator of u and (-2 - 0)*(345\/100 + 2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.196022 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -645 (base 10) to base 4.\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2322, 4151, 5982, 7815?\n\"Answer: d**2 + 1826*d + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57962 is divided by 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 30*f + 18. Let p(d) = 2*d - 7. Let a be p(11). Is r(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyj when three letters picked without replacement from zylgzyj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:17 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115330 - -414?\nAnswer: -114512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(12\/9)*6. Let y be x\/2*(1 + 3). Let v be 2\/(-2)*y\/2. What is the highest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 392551?\nAnswer: 392551.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-589)\/57)*7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034969 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 267 - 122 = 117 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -10, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) -1\/8 (c) 5 (d) -20 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 17. Solve -5*b + h = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r - 1697 = -176 + 279 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -83711015*l**2. Let u(m) = -m. Give u(p(r)).\nAnswer: 83711015*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*127.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1022, 0, 2 in decreasing order.\nAnswer: 1022, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*y - 1 - 9*y - 2.\nAnswer: -18*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -18*q**2\/7 + 5748*q\/7 - 458882\/7 = 0.\nAnswer: 479\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1700 and 41310.\nAnswer: 413100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = p - 72, 27167*k - 27170*k - 18 = -3*p for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let y(z) = -7*z. Let r(g) = 13*g. Let d(b) = -6*r(b) - 11*y(b). Give u(d(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.28779 rounded to one dp?\nAnswer: 34.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25*o**2 + 22*o - 8. Let h(r) = -21*r**2 + 20*r - 7. Let y(a) = 8*h(a) - 7*j(a). Let x(n) = -n - 8*n**2 - n - 4*n. Give -5*x(w) - 6*y(w).\nAnswer: -2*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/1512*21)\/(-10*5\/10).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Suppose h*g - 231 = -3*t + 165, -5*t + 676 = -2*g. Let r = -66 + t. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -735 + 2171. Suppose 5*d + g = -339. Let q = d + 545. What is q rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.22144 weeks to hours.\nAnswer: 13309.20192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 + 4*p. Let c(q) be the third derivative of -q**5\/10 + q**4\/8 + q**2 - 124*q + 1. Determine 3*c(s) - 2*v(s).\nAnswer: -6*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 100, -30, -412, -1172, -2436?\n\"Answer: -21*d**3 + 17*d + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t - 4*t - 51 + 178. Let x be g(-17). Solve 5*p + x = -0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/18)\/((-2)\/(-6)))\/(704\/(-13728)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63*(61 + 34688\/(-576))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 + -0.1. Let m = r + -4.03. Let o be 4\/(-3) - (-8)\/12. What is the nearest to -2 in o, m, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13788*n = -13789*n + 3. Solve 0 = 4*y - 4, -y = 4*r - 0 + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3662507?\nAnswer: 257, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 11*i**2 + 10*i - 12. Let g be f(12). Find the common denominator of (-19)\/2*g\/(-90) and 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, h: 1, n: 1, x: 1, d: 2}. What is prob of picking 1 h, 1 n, 1 d, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-12) - 1\/((-4)\/15). Suppose -4*d - 187 = -4*f + d, w*f + 2*d - 194 = 0. Suppose 11*j = 14*j - 108. What is the greatest common factor of j and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4405 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -15*12\/30. Let j(q) = -2*q**2 + 4 - 6 - q + 0*q**2 + 3*q**2. Calculate j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-5 + 2 + 1)*(11 + 5 - 8)*(68 - 68 - 147*u**2) as w*u + j*u**2 + y and give j.\nAnswer: 4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.9 (b) 6\/29 (c) 3 (d) -6 (e) -1\/3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106.49 + 162.362. What is d rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372524*h**2 + 182229 wrt h.\nAnswer: -745048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -46, -0.2, -18, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 26. What are the prime factors of f(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from nnnnntttnnnnnt.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236 a factor of 256374256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}